From edeb20101161b69f6c22b5bcdf3f769706658f00 Mon Sep 17 00:00:00 2001 From: rtibbles Date: Sun, 30 Dec 2012 13:16:02 -0800 Subject: [PATCH 1/8] Revert exponents-radicals to non-empty file. Got deleted due to no longer existing on KA site. Need their API to match to their live data. --- kalite/static/data/topicdata/exponents-radicals.json | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/kalite/static/data/topicdata/exponents-radicals.json b/kalite/static/data/topicdata/exponents-radicals.json index 0637a088a0..3b0dcd1636 100755 --- a/kalite/static/data/topicdata/exponents-radicals.json +++ b/kalite/static/data/topicdata/exponents-radicals.json @@ -1 +1 @@ -[] \ No newline at end of file +[{"relative_url": "/exercise/exponents_4", "file_name": "", "covers": [], "creation_date": "2011-08-29T00:00:00Z", "ka_url": "http://www.khanacademy.org/exercise/exponents_4", "v_position": 4, "display_name": "Negative fractional exponents", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Fractional bases raised to primarily negative fractional exponents.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Exponents 4", "author_name": "Jeff Ruberg", "h_position": 21, "kind": "Exercise", "sha1": "02f7d59d56c5928576cb76eb07f2a880950d2ff4", "name": "exponents_4", "prerequisites": ["exponents_3"], "seconds_per_fast_problem": 15.0, "pretty_display_name": "Negative fractional exponents"}, {"relative_url": "/exercise/exponents_1", "file_name": "", "covers": ["multiplying_and_dividing_negative_numbers"], "creation_date": "2011-08-29T00:00:00Z", "ka_url": "http://www.khanacademy.org/exercise/exponents_1", "v_position": 2, "display_name": "Positive and zero exponents", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Integers raised to positive integers. Non-zero integers raised to the zero power. 0, -1, and 1 raised to very large positive integers.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Exponents 1", "author_name": "Jeff Ruberg", "h_position": 18, "kind": "Exercise", "sha1": "2d24927dc7a41d2cd16d7765babc84bf51608296", "name": "exponents_1", "prerequisites": ["multiplying_and_dividing_negative_numbers"], "seconds_per_fast_problem": 5.0, "pretty_display_name": "Positive and zero exponents"}, {"relative_url": "/exercise/scientific_notation", "file_name": "", "covers": [], "creation_date": "2011-08-29T00:00:00Z", "ka_url": "http://www.khanacademy.org/exercise/scientific_notation", "v_position": 2, "display_name": "Scientific notation", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Express a number in scientific notation.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Sci. Notat.", "author_name": "Omar Rizwan", "h_position": 22, "kind": "Exercise", "sha1": "27344f64372cb0336e283f93739ef26541dbb69d", "name": "scientific_notation", "prerequisites": ["scientific_notation_intuition"], "seconds_per_fast_problem": 11.0, "pretty_display_name": ""}, {"relative_url": "/exercise/exponent_rules", "file_name": "", "covers": ["exponents_2"], "creation_date": "2011-08-29T00:00:00Z", "ka_url": "http://www.khanacademy.org/exercise/exponent_rules", "v_position": 7, "display_name": "Exponent rules", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Solve exponent problems by adding, subtracting, or multiplying exponents.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Exp. Rules", "author_name": "Omar Rizwan", "h_position": 20, "kind": "Exercise", "sha1": "31a282f7265d3e00a34a11061d32a59ecefdd0f8", "name": "exponent_rules", "prerequisites": ["exponents_2"], "seconds_per_fast_problem": 7.0, "pretty_display_name": ""}, {"relative_url": "/exercise/simplifying_expressions_with_exponents", "file_name": "", "covers": [], "creation_date": "2012-01-13T08:00:11Z", "ka_url": "http://www.khanacademy.org/exercise/simplifying_expressions_with_exponents", "v_position": 7, "display_name": "Simplifying expressions with exponents", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Combine like terms in expressions with variables using exponent rules.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Exp. Expr.", "author_name": "Daniel McLaury", "h_position": 21, "kind": "Exercise", "sha1": "f3904c7d6b1e2d89c18332521981c1aedea01a05", "name": "simplifying_expressions_with_exponents", "prerequisites": ["exponent_rules"], "seconds_per_fast_problem": 20.0, "pretty_display_name": ""}, {"relative_url": "/exercise/logarithms_2", "file_name": "", "covers": [], "creation_date": "2011-08-29T00:00:00Z", "ka_url": "http://www.khanacademy.org/exercise/logarithms_2", "v_position": 3, "display_name": "Operations with logarithms", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Add, subtract, multiply, and divide with logarithms.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Log. 2", "author_name": "Rob Yates", "h_position": 22, "kind": "Exercise", "sha1": "d90ea1b2b1c576e94c3d72a62f018fa36533a1b8", "name": "logarithms_2", "prerequisites": ["logarithms_1"], "seconds_per_fast_problem": 6.0, "pretty_display_name": "Operations with logarithms"}, {"relative_url": "/exercise/logarithms_1", "file_name": "", "covers": ["multiplication_1"], "creation_date": "2011-08-29T00:00:00Z", "ka_url": "http://www.khanacademy.org/exercise/logarithms_1", "v_position": 3, "display_name": "Solving logarithms", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Solve logarithms in the form log_base (number) = answer.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Log. 1", "author_name": "johnfn", "h_position": 21, "kind": "Exercise", "sha1": "2ce10a1887c7f2bde565c1605ff0905297cf8435", "name": "logarithms_1", "prerequisites": ["exponents_3"], "seconds_per_fast_problem": 5.0, "pretty_display_name": "Solving logarithms"}, {"relative_url": "/exercise/radical_equations", "file_name": "", "covers": ["linear_equations_3"], "creation_date": "2011-08-29T00:00:00Z", "ka_url": "http://www.khanacademy.org/exercise/radical_equations", "v_position": 7, "display_name": "Radical equations", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Solve equations containing square roots of variables.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Rad Eq 1", "author_name": "Marcia Lee", "h_position": 22, "kind": "Exercise", "sha1": "877bd0d48eb9fb5208ca66cf97879b925767359b", "name": "radical_equations", "prerequisites": ["simplifying_radicals"], "seconds_per_fast_problem": 17.0, "pretty_display_name": ""}, {"relative_url": "/exercise/multiplying_radicals", "file_name": "", "covers": [], "creation_date": "2011-10-31T21:55:04Z", "ka_url": "http://www.khanacademy.org/exercise/multiplying_radicals", "v_position": 6, "display_name": "Multiplying radicals", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Multiply expressions containing radicals.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "* radicals", "author_name": "Scott Menke", "h_position": 23, "kind": "Exercise", "sha1": "eca1612b6906490cdadf6602cd0cd44c5c371d4c", "name": "multiplying_radicals", "prerequisites": ["adding_and_subtracting_radicals"], "seconds_per_fast_problem": 10.0, "pretty_display_name": ""}, {"relative_url": "/exercise/adding_and_subtracting_radicals", "file_name": "", "covers": [], "creation_date": "2011-10-31T21:46:36Z", "ka_url": "http://www.khanacademy.org/exercise/adding_and_subtracting_radicals", "v_position": 6, "display_name": "Adding and subtracting radicals", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Add and subtract expressions containing radicals.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "+- Radicals", "author_name": "Scott Menke", "h_position": 22, "kind": "Exercise", "sha1": "051d15d51d9e6679df01dd4f17f85f8e7a5a52cb", "name": "adding_and_subtracting_radicals", "prerequisites": ["simplifying_radicals"], "seconds_per_fast_problem": 18.0, "pretty_display_name": ""}, {"relative_url": "/exercise/simplifying_radicals", "file_name": "", "covers": [], "creation_date": "2011-08-29T00:00:00Z", "ka_url": "http://www.khanacademy.org/exercise/simplifying_radicals", "v_position": 6, "display_name": "Simplifying radicals", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Express radicals in simplest form.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Simp. Rad.", "author_name": "Ben Alpert", "h_position": 21, "kind": "Exercise", "sha1": "8872f5070ab99025614722b077935d0fe2911c2f", "name": "simplifying_radicals", "prerequisites": ["exponent_rules", "square_roots", "cube_roots"], "seconds_per_fast_problem": 9.0, "pretty_display_name": ""}, {"relative_url": "/exercise/significant_figures_1", "file_name": "", "covers": [], "creation_date": "2011-08-29T00:00:00Z", "ka_url": "http://www.khanacademy.org/exercise/significant_figures_1", "v_position": 2, "display_name": "Significant figures", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Determine how many significant figures a given number has.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Sig fig 1", "author_name": "Marcia Lee", "h_position": 23, "kind": "Exercise", "sha1": "b2390667e08f4e25c5db842ca5dde72230bd5a79", "name": "significant_figures_1", "prerequisites": ["scientific_notation"], "seconds_per_fast_problem": 5.0, "pretty_display_name": "Significant figures"}, {"relative_url": "/exercise/multiplying_and_dividing_scientific_notation", "file_name": "", "covers": [], "creation_date": "2012-03-12T16:00:40Z", "ka_url": "http://www.khanacademy.org/exercise/multiplying_and_dividing_scientific_notation", "v_position": 3, "display_name": "Multiplying and dividing scientific notation", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Express a product or quotient in scientific notation.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "x÷ Sci Not", "author_name": "Ben Eater", "h_position": 23, "kind": "Exercise", "sha1": "c645570e4e5ec9948ae8944b889f742d7359d8bb", "name": "multiplying_and_dividing_scientific_notation", "prerequisites": ["scientific_notation"], "seconds_per_fast_problem": 17.0, "pretty_display_name": ""}, {"relative_url": "/exercise/scientific_notation_intuition", "file_name": "", "covers": [], "creation_date": "2012-01-27T23:12:31Z", "ka_url": "http://www.khanacademy.org/exercise/scientific_notation_intuition", "v_position": 2, "display_name": "Scientific notation intuition", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Move a decimal point to express a number in scientific notation.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Sci Not Int", "author_name": "Ben Eater", "h_position": 21, "kind": "Exercise", "sha1": "c15e68418c1d779399c5dfbda1c48cc5323b6300", "name": "scientific_notation_intuition", "prerequisites": ["exponents_3", "exponent_rules"], "seconds_per_fast_problem": 4.0, "pretty_display_name": ""}, {"relative_url": "/exercise/exponents_3", "file_name": "", "covers": ["exponents_2"], "creation_date": "2011-08-29T00:00:00Z", "ka_url": "http://www.khanacademy.org/exercise/exponents_3", "v_position": 4, "display_name": "Fractional exponents", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Fractional and integer bases raised to positive and negative fractional exponents. ", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Exponents 3", "author_name": "Jeff Ruberg", "h_position": 20, "kind": "Exercise", "sha1": "07bf928c9ad4f1d6d1ec2c8609bc3cff2a620e70", "name": "exponents_3", "prerequisites": ["exponents_2"], "seconds_per_fast_problem": 7.0, "pretty_display_name": "Fractional exponents"}, {"relative_url": "/exercise/exponents_2", "file_name": "", "covers": ["exponents_1"], "creation_date": "2011-08-29T00:00:00Z", "ka_url": "http://www.khanacademy.org/exercise/exponents_2", "v_position": 4, "display_name": "Negative exponents", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Fractional and integer bases raised to negative integer exponents.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Exponents 2", "author_name": "Jeff Ruberg", "h_position": 19, "kind": "Exercise", "sha1": "22eae48891a94e5eafeaba9f04d6e2da1eb1513d", "name": "exponents_2", "prerequisites": ["exponents_1"], "seconds_per_fast_problem": 8.0, "pretty_display_name": "Negative exponents"}, {"relative_url": "/exercise/square_roots", "file_name": "", "covers": [], "creation_date": "2012-04-13T23:09:54Z", "ka_url": "http://www.khanacademy.org/exercise/square_roots", "v_position": 5, "display_name": "Square roots", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Find the square root of a perfect square positive integer.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Sqr roots", "author_name": "Jeff Ruberg", "h_position": 20, "kind": "Exercise", "sha1": "e1f8824bd90ed1ac7ab378c780673493891143a7", "name": "square_roots", "prerequisites": ["exponents_2"], "seconds_per_fast_problem": 4.0, "pretty_display_name": ""}, {"relative_url": "/exercise/square_roots_2", "file_name": "square_roots_2.html", "covers": [], "creation_date": "2012-07-12T21:01:24Z", "ka_url": "http://www.khanacademy.org/exercise/square_roots_2", "v_position": 5, "display_name": "Estimating square roots", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Approximate the square roots of numbers which are not perfect squares.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Est sqr rts", "author_name": "Christi Rockwell", "h_position": 21, "kind": "Exercise", "sha1": "462c960cb84d563c10948f1b889fa92b855c6cb1", "name": "square_roots_2", "prerequisites": ["square_roots"], "seconds_per_fast_problem": 6.0, "pretty_display_name": "Estimating square roots"}, {"relative_url": "/exercise/cube_roots", "file_name": "", "covers": [], "creation_date": "2012-04-13T23:10:01Z", "ka_url": "http://www.khanacademy.org/exercise/cube_roots", "v_position": 6, "display_name": "Cube roots", "live": true, "thumbnail_image": "http://www.khanacademy.org/images/power-mode/badges/exponents-and-radicals-250x250.png?7", "custom_stacks": [], "description": "Find the cube root of a perfect cube positive integer.", "tags": [], "summative": false, "backup_timestamp": "2012-08-14T16:39:36Z", "short_display_name": "Cube roots", "author_name": "Jeff Ruberg", "h_position": 20, "kind": "Exercise", "sha1": "094ffa5a05829716f4d737137ac835288edb4f81", "name": "cube_roots", "prerequisites": ["exponents_2"], "seconds_per_fast_problem": 6.0, "pretty_display_name": ""}] \ No newline at end of file From f25a5073b0435ca1facddce91d044f84e55efab9 Mon Sep 17 00:00:00 2001 From: rtibbles Date: Mon, 7 Jan 2013 16:34:25 -0800 Subject: [PATCH 2/8] Video thumbnails now display for related videos on exercises. --- kalite/templates/exercise.html | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/kalite/templates/exercise.html b/kalite/templates/exercise.html index ccfeeac935..c07c3ce5d1 100644 --- a/kalite/templates/exercise.html +++ b/kalite/templates/exercise.html @@ -141,7 +141,7 @@

  • -
    +
    From 62283ea56eaa38892e3dfcf492dadb6aecb474ad Mon Sep 17 00:00:00 2001 From: rtibbles Date: Mon, 7 Jan 2013 16:39:28 -0800 Subject: [PATCH 3/8] Update to .gitignore and instruction to put independently downloaded content in content folder. --- .gitignore | 6 +++++- content/note.txt | 1 + 2 files changed, 6 insertions(+), 1 deletion(-) create mode 100644 content/note.txt diff --git a/.gitignore b/.gitignore index 155f1c9d94..7ccf24a558 100644 --- a/.gitignore +++ b/.gitignore @@ -20,4 +20,8 @@ virtualenv/ *.pid mergetomaster.sh videos/ -content/* \ No newline at end of file +content/*.jpg +content/*.png +content/*.mp4 +content/*.json +content/*.srt \ No newline at end of file diff --git a/content/note.txt b/content/note.txt new file mode 100644 index 0000000000..706e929a06 --- /dev/null +++ b/content/note.txt @@ -0,0 +1 @@ +This is where content files (jpg, mp4, png, and json) should be. If you are copying content from a downloaded torrent file or a USB stick, the files should be put in here. \ No newline at end of file From 5f943e3dd89d1a1dc75710e990dba0f41c2df10d Mon Sep 17 00:00:00 2001 From: Julia Ogris Date: Tue, 8 Jan 2013 12:51:08 +1100 Subject: [PATCH 4/8] Add Mac OS X installation instructions. --- INSTALL.md | 35 ++++++++++++++++++++++++++++++++++- 1 file changed, 34 insertions(+), 1 deletion(-) diff --git a/INSTALL.md b/INSTALL.md index 997984ae44..5e3f17093b 100644 --- a/INSTALL.md +++ b/INSTALL.md @@ -9,7 +9,7 @@ You will be completing the following steps: 4. Run the installation script to complete configuration 5. Run the server -Jump to below for [Windows installation instructions](#installing-on-windows). +Jump to below for [Windows installation instructions](#installing-on-windows) or [Mac OS X installation instructions](#installing-on-mac-os-x). Installing on Linux === @@ -87,6 +87,39 @@ If at any point you see a "Windows Security Alert" [warning about Windows Firewa The local KA Lite website should now be accessible at [http://127.0.0.1:8008/](http://127.0.0.1:8008/) (replace 127.0.0.1 with your computer's external ip address or domain to access it from another connected computer). +Installing on Mac OS X +=== + +### 1. Install Python + +Python comes pre-installed on Mac OS X, but due to Apple's release cycle, it's often one or even two years old. To check that you have got a usable version, run `python -V` from the command line (in Terminal from Applications/Utilities), and ensure that the version number starts with 2.6, or 2.7. If it is not a usable version ([download Python 2.7](http://www.python.org/download/releases/2.7.3/)). On 32-bit or 64-bit non PPC Mac OS X 10.6 or higher, use the [64-bit/32-bit x86-64/i386 Installer](http://www.python.org/ftp/python/2.7.3/python-2.7.3-macosx10.6.dmg), and on PPC or 32-bit i386 Mac OS X 10.3-10.6, use the [32-bit i386/PPC Installer](http://www.python.org/ftp/python/2.7.3/python-2.7.3-macosx10.3.dmg). + + +### 2. Install git + +Install the latest version of [Git for OS X](http://code.google.com/p/git-osx-installer/downloads/list?can=3&q=&sort=-uploaded). + +### 3. Download KA Lite + +Clone the repository into a directory of your choice. Use `cd` to navigate into the target directory (the files will be put into a subdirectory of your current directory named `ka-lite`), and then run: + +`git clone --recursive https://github.com/jamalex/ka-lite.git` + +(The `--recursive` is required because it includes [khan-exercises](https://github.com/Khan/khan-exercises) as a git submodule.) + +### 4. Run the installation script + +Inside the `ka-lite` directory (that you cloned above) you should find a script called `install.sh`. Use `cd ka-lite` to navigate into the directory, and run this script using `./install.sh` to initialize the server database. + +### 5. Run the server + +(If you're installing the server to test/develop, rather than deploy, follow the [development instructions](docs/DEVELOPMENT.md) instead.) + +To start the server, run the `start.sh` script in the `ka-lite` directory. + +The local KA Lite website should now be accessible at [http://127.0.0.1:8008/](http://127.0.0.1:8008/) (replace 127.0.0.1 with your computer's external ip address or domain to access it from another connected computer). + + Optional: Install and configure Apache/mod_wsgi === From 81fbfe32b3c3c0e86926fe2ad263efd0cde5cdba Mon Sep 17 00:00:00 2001 From: Jamie Alexandre Date: Mon, 7 Jan 2013 19:15:56 -0800 Subject: [PATCH 5/8] Fixed universal subtitle API download URL. --- kalite/utils/subtitles.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/kalite/utils/subtitles.py b/kalite/utils/subtitles.py index b07a719c87..94ccc46268 100644 --- a/kalite/utils/subtitles.py +++ b/kalite/utils/subtitles.py @@ -13,7 +13,7 @@ "X-apikey": "", } -base_url = "https://amara.org/api2/partners/videos" +base_url = "https://www.universalsubtitles.org/api2/partners/videos" class NoSubs(Exception): From c564ea46d1eb88152371a45837e8c0955c318a34 Mon Sep 17 00:00:00 2001 From: Jamie Alexandre Date: Mon, 7 Jan 2013 20:33:30 -0800 Subject: [PATCH 6/8] Added helper function for listing downloaded video youtube ids. --- kalite/utils/topic_tools.py | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/kalite/utils/topic_tools.py b/kalite/utils/topic_tools.py index 4cfd19ad15..d1da101473 100644 --- a/kalite/utils/topic_tools.py +++ b/kalite/utils/topic_tools.py @@ -1,3 +1,4 @@ +import glob from main import topicdata def find_videos_by_youtube_id(youtube_id, node=topicdata.TOPICS): @@ -25,4 +26,7 @@ def get_dups(threshold=2): def print_videos(youtube_id): print "Videos with YouTube ID '%s':" % youtube_id for node in find_videos_by_youtube_id(youtube_id): - print " > ".join(node["path"].split("/")[1:-3] + [node["title"]]) \ No newline at end of file + print " > ".join(node["path"].split("/")[1:-3] + [node["title"]]) + +def get_downloaded_youtube_ids(): + return [path.split("/")[-1].split(".")[0] for path in glob.glob("../../content/*.mp4")] \ No newline at end of file From 5fad0ba2b6285c504dfcd84069c2c9fafac2619e Mon Sep 17 00:00:00 2001 From: Jamie Alexandre Date: Mon, 7 Jan 2013 20:34:58 -0800 Subject: [PATCH 7/8] Updated the topic tree. Now in line with the first torrent file's videos. --- kalite/static/data/nodecache.json | 25135 ++- kalite/static/data/topics.json | 231659 ++++++++++++++++++++------- 2 files changed, 187585 insertions(+), 69209 deletions(-) diff --git a/kalite/static/data/nodecache.json b/kalite/static/data/nodecache.json index 9f68b8384b..6de89e8bf6 100755 --- a/kalite/static/data/nodecache.json +++ b/kalite/static/data/nodecache.json @@ -11,27 +11,27 @@ "path": "/", "extended_slug": "" }, - "paulson-bailout": { - "slug": "paulson-bailout", + "life-earth-universe": { + "slug": "life-earth-universe", "hide": false, - "description": "Videos to help understand the bailout.", - "title": "Paulson Bailout", + "description": "When and how did life emerge on Earth? How did humanity develop a civilization? Is there other intelligent life out there?", + "title": "Life on Earth and in the Universe", "kind": "Topic", - "id": "paulson-bailout", - "topic_page_url": "/finance-economics/paulson-bailout", - "path": "/finance-economics/paulson-bailout/", - "extended_slug": "finance-economics/paulson-bailout" + "id": "life-earth-universe", + "topic_page_url": "/science/cosmology-and-astronomy/life-earth-universe", + "path": "/science/cosmology-and-astronomy/life-earth-universe/", + "extended_slug": "science/cosmology-and-astronomy/life-earth-universe" }, - "valuation-and-investing": { - "slug": "valuation-and-investing", + "fischer-projections": { + "slug": "fischer-projections", "hide": false, - "description": "Building blocks and case studies on the financial analysis and valuation of public equities.", - "title": "Valuation and Investing", + "description": "In this tutorial, Jay shows how to draw a fischer projection and how to assign an absolute configuration to a chirality center in a fischer projection.", + "title": "Fischer projections", "kind": "Topic", - "id": "valuation-and-investing", - "topic_page_url": "/finance-economics/valuation-and-investing", - "path": "/finance-economics/valuation-and-investing/", - "extended_slug": "finance-economics/valuation-and-investing" + "id": "fischer-projections", + "topic_page_url": "/science/organic-chemistry/stereochemistry-topic/fischer-projections", + "path": "/science/organic-chemistry/stereochemistry-topic/fischer-projections/", + "extended_slug": "science/organic-chemistry/stereochemistry-topic/fischer-projections" }, "lab-values": { "slug": "lab-values", @@ -51,31 +51,31 @@ "title": "Similarity", "kind": "Topic", "id": "similarity", - "topic_page_url": "/math/geometry/similarity/e", + "topic_page_url": "/math/geometry/similarity", "path": "/math/geometry/similarity/", "extended_slug": "math/geometry/similarity" }, - "california-standards-test": { - "slug": "california-standards-test", + "art-history-1960---age-of-post-colonialism": { + "slug": "art-history-1960---age-of-post-colonialism", "hide": false, - "description": "Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.", - "title": "California Standards Test", + "description": "", + "title": "1960- Age of Post-Colonialism", "kind": "Topic", - "id": "california-standards-test", - "topic_page_url": "/test-prep/california-standards-test", - "path": "/test-prep/california-standards-test/", - "extended_slug": "test-prep/california-standards-test" + "id": "art-history-1960---age-of-post-colonialism", + "topic_page_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism", + "path": "/humanities/art-history/art-history-1960---age-of-post-colonialism/", + "extended_slug": "humanities/art-history/art-history-1960---age-of-post-colonialism" }, - "precalculus": { - "slug": "precalculus", + "inflation-tutorial": { + "slug": "inflation-tutorial", "hide": false, - "description": "Non-trigonometry pre-calculus topics. Solid understanding of all of the topics in the \"Algebra\" playlist should make this playlist pretty digestible.", - "title": "Precalculus", + "description": "", + "title": "Inflation", "kind": "Topic", - "id": "precalculus", - "topic_page_url": "/math/precalculus", - "path": "/math/precalculus/", - "extended_slug": "math/precalculus" + "id": "inflation-tutorial", + "topic_page_url": "/science/core-finance/inflation-tutorial", + "path": "/science/core-finance/inflation-tutorial/", + "extended_slug": "science/core-finance/inflation-tutorial" }, "multiplication-division": { "slug": "multiplication-division", @@ -88,93 +88,71 @@ "path": "/math/arithmetic/multiplication-division/", "extended_slug": "math/arithmetic/multiplication-division" }, - "modern-crypt": { - "slug": "modern-crypt", - "hide": false, - "description": "20th century solutions to new problems in Cryptography", - "title": "Modern Cryptography", - "kind": "Topic", - "id": "modern-crypt", - "topic_page_url": "/math/applied-math/modern-crypt", - "path": "/math/applied-math/modern-crypt/", - "extended_slug": "math/applied-math/modern-crypt" - }, - "telling-time": { - "slug": "telling-time", - "hide": false, - "description": "", - "title": "Telling time", - "kind": "Topic", - "id": "telling-time", - "topic_page_url": "/math/arithmetic/telling-time/e", - "path": "/math/arithmetic/telling-time/", - "extended_slug": "math/arithmetic/telling-time" - }, - "banking-and-money": { - "slug": "banking-and-money", + "multiplication_fun": { + "slug": "multiplication_fun", "hide": false, - "description": "Videos on how banks work and how money is created.", - "title": "Banking and Money", + "description": "If 3 kids each have two robot possums, how many total robot possums do we have?\n\nYou liked addition, but now your ready to go to the next level. Depending on how you view it, multiplication is about repeated addition or scaling a number or seeing what number you get when you have another number multiple times. If that last sentence made little sense, you might enjoy this tutorial.", + "title": "Multiplication fun", "kind": "Topic", - "id": "banking-and-money", - "topic_page_url": "/finance-economics/banking-and-money", - "path": "/finance-economics/banking-and-money/", - "extended_slug": "finance-economics/banking-and-money" + "id": "multiplication_fun", + "topic_page_url": "/math/arithmetic/multiplication-division/multiplication_fun", + "path": "/math/arithmetic/multiplication-division/multiplication_fun/", + "extended_slug": "math/arithmetic/multiplication-division/multiplication_fun" }, - "slope-and-intercepts": { - "slug": "slope-and-intercepts", + "inflation-topic": { + "slug": "inflation-topic", "hide": false, - "description": "If you've ever struggled to tell someone just how steep something is, you'll find the answer here. In this tutorial, we cover the idea of the slope of a line. We also think about how slope relates to the equation of a line and how you can determine the slope or y-intercept given some clues.\n\nThis tutorial is appropriate for someone who understands the basics of graphing equations and want to dig a bit deeper. After this tutorial, you will be prepared to start thinking deeper about the equation of a line.", - "title": "Slope and intercepts", + "description": "Inflation and deflation. CPI-U. Real and nominal return. Phillips Curve.", + "title": "Inflation - measuring the cost of living", "kind": "Topic", - "id": "slope-and-intercepts", - "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts", - "path": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/", - "extended_slug": "math/algebra/linear-equations-and-inequalitie/slope-and-intercepts" + "id": "inflation-topic", + "topic_page_url": "/science/macroeconomics/inflation-topic", + "path": "/science/macroeconomics/inflation-topic/", + "extended_slug": "science/macroeconomics/inflation-topic" }, - "introduction-to-the-atom": { - "slug": "introduction-to-the-atom", + "significant_figures_tutorial": { + "slug": "significant_figures_tutorial", "hide": false, - "description": "", - "title": "Introduction to the Atom", + "description": "There is a strong temptation in life to appear precise, even when you are aren't accurate. If you precisely measure one dimension of a carpet to be 3.256 meters and eyeball the other dimensional to be \"roughly 2 meters\", can you really claim that the area is 7.512 square meters (3.256 x 2)? Isn't that a little misleading? \n\nThis tutorial gets us thinking about this conundrum and gives us the best practices that scientists and engineers use to not mislead each other.", + "title": "Significant figures", "kind": "Topic", - "id": "introduction-to-the-atom", - "topic_page_url": "/science/chemistry/introduction-to-the-atom", - "path": "/science/chemistry/introduction-to-the-atom/", - "extended_slug": "science/chemistry/introduction-to-the-atom" + "id": "significant_figures_tutorial", + "topic_page_url": "/math/arithmetic/decimals/significant_figures_tutorial", + "path": "/math/arithmetic/decimals/significant_figures_tutorial/", + "extended_slug": "math/arithmetic/decimals/significant_figures_tutorial" }, - "art-history-400-1300-medieval-era": { - "slug": "art-history-400-1300-medieval-era", + "perfect-competition-topic": { + "slug": "perfect-competition-topic", "hide": false, "description": "", - "title": "400-1300 Medieval Era", + "title": "Forms of competition", "kind": "Topic", - "id": "art-history-400-1300-medieval-era", - "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval-era", - "path": "/humanities/art-history/art-history-400-1300-medieval-era/", - "extended_slug": "humanities/art-history/art-history-400-1300-medieval-era" + "id": "perfect-competition-topic", + "topic_page_url": "/science/microeconomics/perfect-competition-topic", + "path": "/science/microeconomics/perfect-competition-topic/", + "extended_slug": "science/microeconomics/perfect-competition-topic" }, - "california-standards-test-algebra-2": { - "slug": "california-standards-test-algebra-2", + "reactions-alcohols-tutorial": { + "slug": "reactions-alcohols-tutorial", "hide": false, - "description": "Sal works through 80 questions taken from the California Standards Test for Algebra II. If you struggle with these you can get more help by viewing the algebra topic and completing its exercises.", - "title": "Algebra II", + "description": "In this tutorial, Jay assigns oxidation states to alcohols, shows an oxidation mechanism using the Jones reagent, and shows the formation of nitrate esters from alcohols.", + "title": "Reactions of alcohols", "kind": "Topic", - "id": "california-standards-test-algebra-2", - "topic_page_url": "/test-prep/california-standards-test/california-standards-test-algebra-2", - "path": "/test-prep/california-standards-test/california-standards-test-algebra-2/", - "extended_slug": "test-prep/california-standards-test/california-standards-test-algebra-2" + "id": "reactions-alcohols-tutorial", + "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/reactions-alcohols-tutorial", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/reactions-alcohols-tutorial/", + "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/reactions-alcohols-tutorial" }, - "acids-and-bases": { - "slug": "acids-and-bases", + "quad_factoring": { + "slug": "quad_factoring", "hide": false, - "description": "", - "title": "Acids and bases", + "description": "Just saying the word \"quadratic\" will make you feel smart and powerful. Try it. Imagine how smart and powerful you would actually be if you know what a quadratic is. Even better, imagine being able to completely dominate these \"quadratics\" with new found powers of factorization. Well, dream no longer.\n\nThis tutorial will be super fun. Just bring to it your equation solving skills, your ability to multiply binomials and a non-linear way of thinking!", + "title": "Factoring quadratics", "kind": "Topic", - "id": "acids-and-bases", - "topic_page_url": "/science/chemistry/acids-and-bases", - "path": "/science/chemistry/acids-and-bases/", - "extended_slug": "science/chemistry/acids-and-bases" + "id": "quad_factoring", + "topic_page_url": "/math/trigonometry/polynomial_and_rational/quad_factoring", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/", + "extended_slug": "math/trigonometry/polynomial_and_rational/quad_factoring" }, "periodic-table-trends-bonding": { "slug": "periodic-table-trends-bonding", @@ -187,27 +165,38 @@ "path": "/science/chemistry/periodic-table-trends-bonding/", "extended_slug": "science/chemistry/periodic-table-trends-bonding" }, - "art-history-1848-1907-industrial-revolution-ii": { - "slug": "art-history-1848-1907-industrial-revolution-ii", + "current-economics": { + "slug": "current-economics", "hide": false, - "description": "", - "title": "1848-1907 Industrial Revolution II", + "description": "Discussions of economic topics and how they relate to current events.", + "title": "Current Economics", "kind": "Topic", - "id": "art-history-1848-1907-industrial-revolution-ii", - "topic_page_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii", - "path": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/", - "extended_slug": "humanities/art-history/art-history-1848-1907-industrial-revolution-ii" + "id": "current-economics", + "topic_page_url": "/science/core-finance/current-economics", + "path": "/science/core-finance/current-economics/", + "extended_slug": "science/core-finance/current-economics" }, - "linear-equations-and-inequalitie": { - "slug": "linear-equations-and-inequalitie", + "stokes_proof": { + "slug": "stokes_proof", "hide": false, - "description": "Understanding the coordinate plane, slope, and intercept. Writing, solving, and graphing linear equations and inequalities.", - "title": "Graphing points, equations and inequalities", + "description": "You know what Stokes' theorem is and how to apply it, but are craving for some real proof that it is true. Well, you've found the right tutorial!", + "title": "Proof of Stokes' theorem", "kind": "Topic", - "id": "linear-equations-and-inequalitie", - "topic_page_url": "/math/algebra/linear-equations-and-inequalitie", - "path": "/math/algebra/linear-equations-and-inequalitie/", - "extended_slug": "math/algebra/linear-equations-and-inequalitie" + "id": "stokes_proof", + "topic_page_url": "/math/calculus/multivariable-calculus/stokes_proof", + "path": "/math/calculus/multivariable-calculus/stokes_proof/", + "extended_slug": "math/calculus/multivariable-calculus/stokes_proof" + }, + "historic-ad-as-scenarios": { + "slug": "historic-ad-as-scenarios", + "hide": false, + "description": "In the last tutorial, we claimed that the aggregate demand and aggregate supply model (AD-AS) would be useful for analyzing macroeconomic events. Well, in this tutorial, we'll do exactly that.", + "title": "Historical circumstances explained by AD/AS", + "kind": "Topic", + "id": "historic-ad-as-scenarios", + "topic_page_url": "/science/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios/", + "extended_slug": "science/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios" }, "the-heart": { "slug": "the-heart", @@ -220,16 +209,16 @@ "path": "/science/healthcare-and-medicine/the-heart/", "extended_slug": "science/healthcare-and-medicine/the-heart" }, - "rational-expressions": { - "slug": "rational-expressions", + "inverse_of_matrices": { + "slug": "inverse_of_matrices", "hide": false, - "description": "When you have one expression being divided by another.", - "title": "Rational expressions", + "description": "We've talked a lot about inverse transformations abstractly in the last tutorial. Now, we're ready to actually compute inverses. We start from \"documenting\" the row operations to get a matrix into reduced row echelon form and use this to come up with the formula for the inverse of a 2x2 matrix. After this we define a determinant for 2x2, 3x3 and nxn matrices.", + "title": "Finding inverses and determinants", "kind": "Topic", - "id": "rational-expressions", - "topic_page_url": "/math/algebra/rational-expressions", - "path": "/math/algebra/rational-expressions/", - "extended_slug": "math/algebra/rational-expressions" + "id": "inverse_of_matrices", + "topic_page_url": "/math/linear-algebra/matrix_transformations/inverse_of_matrices", + "path": "/math/linear-algebra/matrix_transformations/inverse_of_matrices/", + "extended_slug": "math/linear-algebra/matrix_transformations/inverse_of_matrices" }, "waves-and-optics": { "slug": "waves-and-optics", @@ -242,357 +231,280 @@ "path": "/science/physics/waves-and-optics/", "extended_slug": "science/physics/waves-and-optics" }, - "cell-division": { - "slug": "cell-division", - "hide": false, - "description": "", - "title": "Cell division", - "kind": "Topic", - "id": "cell-division", - "topic_page_url": "/science/biology/cell-division", - "path": "/science/biology/cell-division/", - "extended_slug": "science/biology/cell-division" - }, - "electricity-and-magnetism": { - "slug": "electricity-and-magnetism", - "hide": false, - "description": "", - "title": "Electricity and magnetism", - "kind": "Topic", - "id": "electricity-and-magnetism", - "topic_page_url": "/science/physics/electricity-and-magnetism", - "path": "/science/physics/electricity-and-magnetism/", - "extended_slug": "science/physics/electricity-and-magnetism" - }, - "healthcare-misc": { - "slug": "healthcare-misc", + "e1-e2-tutorial": { + "slug": "e1-e2-tutorial", "hide": false, - "description": "Enjoy this mix of videos on health care topics!", - "title": "Miscellaneous", + "description": "In this tutorial, Jay covers the E1 elimination mechanism, carbocation rearrangements, and the details of the E2 elimination reaction.", + "title": "E1 and E2 reactions", "kind": "Topic", - "id": "healthcare-misc", - "topic_page_url": "/science/healthcare-and-medicine/healthcare-misc", - "path": "/science/healthcare-and-medicine/healthcare-misc/", - "extended_slug": "science/healthcare-and-medicine/healthcare-misc" + "id": "e1-e2-tutorial", + "topic_page_url": "/science/organic-chemistry/substitution-elimination-reactions/e1-e2-tutorial", + "path": "/science/organic-chemistry/substitution-elimination-reactions/e1-e2-tutorial/", + "extended_slug": "science/organic-chemistry/substitution-elimination-reactions/e1-e2-tutorial" }, - "thermo-can": { - "slug": "thermo-can", + "systems_tutorial_precalc": { + "slug": "systems_tutorial_precalc", "hide": false, - "description": "", - "title": "Thermo Can", + "description": "Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like \"the make-up of change in a troll's pocket\" or \"how can order the right amount of potato chips for a King's party.\" Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution. This tutorial will also help you think about when system might have no solution or an infinite number of solutions. Very, very exciting stuff!", + "title": "Solving systems of equations for the king", "kind": "Topic", - "id": "thermo-can", - "topic_page_url": "/science/projects/thermo-can", - "path": "/science/projects/thermo-can/", - "extended_slug": "science/projects/thermo-can" + "id": "systems_tutorial_precalc", + "topic_page_url": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc", + "path": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc/", + "extended_slug": "math/trigonometry/systems_eq_ineq/systems_tutorial_precalc" }, - "oxidation-reduction": { - "slug": "oxidation-reduction", + "optimal-projectile-angle": { + "slug": "optimal-projectile-angle", "hide": false, - "description": "", - "title": "Oxidation reduction", + "description": "This tutorial tackles a fundamental question when trying to launch things as far as possible (key if you're looking to capture a fort with anything from water balloons to arrows). With a bit of calculus, we'll get to a fairly intuitive answer.", + "title": "Optimal angle for a projectile", "kind": "Topic", - "id": "oxidation-reduction", - "topic_page_url": "/science/chemistry/oxidation-reduction", - "path": "/science/chemistry/oxidation-reduction/", - "extended_slug": "science/chemistry/oxidation-reduction" + "id": "optimal-projectile-angle", + "topic_page_url": "/science/physics/two-dimensional-motion/optimal-projectile-angle", + "path": "/science/physics/two-dimensional-motion/optimal-projectile-angle/", + "extended_slug": "science/physics/two-dimensional-motion/optimal-projectile-angle" }, - "test-prep": { - "slug": "test-prep", + "old_maclaurin_series": { + "slug": "old_maclaurin_series", "hide": false, - "description": null, - "title": "Test Prep", + "description": "Everything in this tutorial is covered (with better resolution and handwriting) in the \"other\" Maclaurin and Taylor series tutorial, but this one has a bit of old-school charm so we are keeping it here for historical reasons.", + "title": "Sal's old Maclaurin and Taylor series tutorial", "kind": "Topic", - "id": "test-prep", - "topic_page_url": null, - "path": "/test-prep/", - "extended_slug": "test-prep" + "id": "old_maclaurin_series", + "topic_page_url": "/math/calculus/sequences_series_approx_calc/old_maclaurin_series", + "path": "/math/calculus/sequences_series_approx_calc/old_maclaurin_series/", + "extended_slug": "math/calculus/sequences_series_approx_calc/old_maclaurin_series" }, - "absolute-value-equations": { - "slug": "absolute-value-equations", + "mechanical-advantage": { + "slug": "mechanical-advantage", "hide": false, - "description": "You are absolutely tired of not knowing how to deal with equations that have absolute values in them. Well, this tutorial might help.", - "title": "Absolute value equations", + "description": "If you have every used a tool of any kind (including the bones in your body), you have employed mechanical advantage. Whether you used an incline plane to drag something off of a pick-up truck or the back of a hammer to remove a nail, the world of mechanical advantage surrounds us.", + "title": "Mechanical advantage", "kind": "Topic", - "id": "absolute-value-equations", - "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations", - "path": "/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/", - "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations" + "id": "mechanical-advantage", + "topic_page_url": "/science/physics/work-and-energy/mechanical-advantage", + "path": "/science/physics/work-and-energy/mechanical-advantage/", + "extended_slug": "science/physics/work-and-energy/mechanical-advantage" }, - "variable-and-expressions": { - "slug": "variable-and-expressions", + "matrix_transformations": { + "slug": "matrix_transformations", "hide": false, - "description": "Wait, why are we using letters in math? How can an 'x' represent a number? What number is it? I must figure this out!!! Yes, you must.\n\nThis tutorial is great if you're just beginning to delve into the world of algebraic variables and expressions.", - "title": "Variables and expressions", + "description": "Understanding how we can map one set of vectors to another set. Matrices used to define linear transformations.", + "title": "Matrix transformations", "kind": "Topic", - "id": "variable-and-expressions", - "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/variable-and-expressions", - "path": "/math/algebra/solving-linear-equations-and-inequalities/variable-and-expressions/", - "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/variable-and-expressions" + "id": "matrix_transformations", + "topic_page_url": "/math/linear-algebra/matrix_transformations", + "path": "/math/linear-algebra/matrix_transformations/", + "extended_slug": "math/linear-algebra/matrix_transformations" }, - "cs-exercises": { - "slug": "cs-exercises", + "divergence_theorem_topic": { + "slug": "divergence_theorem_topic", "hide": false, - "description": "", - "title": "CS Exercises", + "description": "Divergence theorem intuition. Divergence theorem examples and proofs. Types of regions in 3D.", + "title": "Divergence theorem", "kind": "Topic", - "id": "cs-exercises", - "topic_page_url": "/science/cs-exercises/e", - "path": "/science/cs-exercises/", - "extended_slug": "science/cs-exercises" + "id": "divergence_theorem_topic", + "topic_page_url": "/math/calculus/divergence_theorem_topic", + "path": "/math/calculus/divergence_theorem_topic/", + "extended_slug": "math/calculus/divergence_theorem_topic" }, - "brain-teasers": { - "slug": "brain-teasers", + "addition_carrying": { + "slug": "addition_carrying", "hide": false, - "description": "Random logic puzzles and brain teasers. Fun to do and useful for many job interviews!", - "title": "Brain Teasers", + "description": "You're somewhat familar with adding, say, 17+12 or 21+32, but what happens for 13+19? Essentially, what happens when I max out the \"ones place\". In this tutorial, we'll introduce you to the powerful tool of carrying and why it works.", + "title": "Addition with carrying", "kind": "Topic", - "id": "brain-teasers", - "topic_page_url": "/math/brain-teasers", - "path": "/math/brain-teasers/", - "extended_slug": "math/brain-teasers" + "id": "addition_carrying", + "topic_page_url": "/math/arithmetic/addition-subtraction/addition_carrying", + "path": "/math/arithmetic/addition-subtraction/addition_carrying/", + "extended_slug": "math/arithmetic/addition-subtraction/addition_carrying" }, - "algebra-matrices": { - "slug": "algebra-matrices", + "synthesis-cleavage-ethers": { + "slug": "synthesis-cleavage-ethers", "hide": false, - "description": "Understanding and solving matrices.", - "title": "Matrices", + "description": "In this tutorial, Jay shows how to synthesize ethers using the Williamson ether synthesis and how to cleave an ether linkage using acid.", + "title": "Synthesis and cleavage of ethers", "kind": "Topic", - "id": "algebra-matrices", - "topic_page_url": "/math/algebra/algebra-matrices", - "path": "/math/algebra/algebra-matrices/", - "extended_slug": "math/algebra/algebra-matrices" + "id": "synthesis-cleavage-ethers", + "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-cleavage-ethers", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-cleavage-ethers/", + "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-cleavage-ethers" }, - "art-history-1300-1400-proto-renaissance": { - "slug": "art-history-1300-1400-proto-renaissance", + "mixed_numbers": { + "slug": "mixed_numbers", "hide": false, - "description": "", - "title": "1300-1400 Proto-Renaissance", + "description": "We can often have fractions whose numerators are not less than the denominators (like 23/4 or 3/2 or even 6/6). These top-heavy friends are called improper fractions. Since they represent a whole or more (in absolute terms), they can also be expressed as a combination of a whole number and a \"proper fraction\" (one where the numerator is less than the denominator) which is called a \"mixed number.\" They are both awesome ways of representing a number and getting acquainted with both (as this tutorial does) is super useful in life!", + "title": "Mixed numbers and improper fractions", "kind": "Topic", - "id": "art-history-1300-1400-proto-renaissance", - "topic_page_url": "/humanities/art-history/art-history-1300-1400-proto-renaissance", - "path": "/humanities/art-history/art-history-1300-1400-proto-renaissance/", - "extended_slug": "humanities/art-history/art-history-1300-1400-proto-renaissance" + "id": "mixed_numbers", + "topic_page_url": "/math/arithmetic/fractions/mixed_numbers", + "path": "/math/arithmetic/fractions/mixed_numbers/", + "extended_slug": "math/arithmetic/fractions/mixed_numbers" }, - "why-of-algebra": { - "slug": "why-of-algebra", + "basic_trig_ratios": { + "slug": "basic_trig_ratios", "hide": false, - "description": "Algebra seems mysterious to me. I really don't \"get\" what an equation represents. Why do we do the same thing to both sides?\n\nThis tutorial is a conceptual journey through the basics of algebra. It is made for someone just beginning their algebra adventure. But even folks who feel pretty good that they know how to manipulate equations might pick up a new intuition or two.", - "title": "The why of algebra", + "description": "In this tutorial, you will learn all the trigonometry that you are likely to remember in ten years (assuming you are a lazy non-curious, non-lifelong learner). But even in that non-ideal world where you forgot everything else, you'll be able to do more than you might expect with the concentrated knowledge you are about to get.", + "title": "Basic trigonometric ratios", "kind": "Topic", - "id": "why-of-algebra", - "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra", - "path": "/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/", - "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/why-of-algebra" + "id": "basic_trig_ratios", + "topic_page_url": "/math/trigonometry/basic-trigonometry/basic_trig_ratios", + "path": "/math/trigonometry/basic-trigonometry/basic_trig_ratios/", + "extended_slug": "math/trigonometry/basic-trigonometry/basic_trig_ratios" }, - "circles-topic": { - "slug": "circles-topic", + "double_integrals": { + "slug": "double_integrals", "hide": false, - "description": "Finding measurements and applying and proving circle theorems.", - "title": "Circles", + "description": "A single definite integral can be used to find the area under a curve. with double integrals, we can start thinking about the volume under a surface!", + "title": "Double integrals", "kind": "Topic", - "id": "circles-topic", - "topic_page_url": "/math/geometry/circles-topic", - "path": "/math/geometry/circles-topic/", - "extended_slug": "math/geometry/circles-topic" + "id": "double_integrals", + "topic_page_url": "/math/calculus/double_triple_integrals/double_integrals", + "path": "/math/calculus/double_triple_integrals/double_integrals/", + "extended_slug": "math/calculus/double_triple_integrals/double_integrals" }, - "number-properties": { - "slug": "number-properties", + "reaction-rates": { + "slug": "reaction-rates", "hide": false, - "description": "Defining and using the commutative, associative, distributive, identity, and inverse properties.", - "title": "Number properties", + "description": "", + "title": "Reaction rates", "kind": "Topic", - "id": "number-properties", - "topic_page_url": "/math/arithmetic/number-properties", - "path": "/math/arithmetic/number-properties/", - "extended_slug": "math/arithmetic/number-properties" + "id": "reaction-rates", + "topic_page_url": "/science/chemistry/reaction-rates", + "path": "/science/chemistry/reaction-rates/", + "extended_slug": "science/chemistry/reaction-rates" }, - "core-finance": { - "slug": "core-finance", + "fancier-systems": { + "slug": "fancier-systems", "hide": false, - "description": "Videos on finance and macroeconomics", - "title": "Core Finance", + "description": "Two equations with two unknowns not challenging enough for you? How about three equations with three unknowns? Visualizing lines in 2-D too easy? Well, now you're going to visualize intersecting planes in 3-D, baby. (Okay, we admit that it is weird for a website to call you \"baby.\") Tired of linear systems? Well, we might just bring a little nonlinearity into your life, honey. (You might want to brush up on your solving quadratics before tackling the non-linear systems.) As always, try to pause the videos and do them before Sal does!", + "title": "Fancier systems of equations", "kind": "Topic", - "id": "core-finance", - "topic_page_url": "/finance-economics/core-finance", - "path": "/finance-economics/core-finance/", - "extended_slug": "finance-economics/core-finance" + "id": "fancier-systems", + "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/fancier-systems", + "path": "/math/algebra/systems-of-eq-and-ineq/fancier-systems/", + "extended_slug": "math/algebra/systems-of-eq-and-ineq/fancier-systems" }, - "art-history-400-c-e--ancient-cultures": { - "slug": "art-history-400-c-e--ancient-cultures", + "modern-crypt": { + "slug": "modern-crypt", "hide": false, - "description": "", - "title": " - 400 C.E. Ancient Cultures", + "description": "20th century solutions to new problems in Cryptography", + "title": "Modern Cryptography", "kind": "Topic", - "id": "art-history-400-c-e--ancient-cultures", - "topic_page_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures", - "path": "/humanities/art-history/art-history-400-c-e--ancient-cultures/", - "extended_slug": "humanities/art-history/art-history-400-c-e--ancient-cultures" + "id": "modern-crypt", + "topic_page_url": "/math/applied-math/modern-crypt", + "path": "/math/applied-math/modern-crypt/", + "extended_slug": "math/applied-math/modern-crypt" }, "quadratics": { "slug": "quadratics", "hide": false, "description": "Solving quadratics through factoring, completing the square, graphing, and the quadratic equation.", - "title": "Quadratic functions", + "title": "Quadratics", "kind": "Topic", "id": "quadratics", "topic_page_url": "/math/algebra/quadratics", "path": "/math/algebra/quadratics/", "extended_slug": "math/algebra/quadratics" }, - "graphing-a-line": { - "slug": "graphing-a-line", - "hide": false, - "description": "Graphing linear functions on the coordinate plane", - "title": "Graphing a line", - "kind": "Topic", - "id": "graphing-a-line", - "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/graphing-a-line", - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-a-line/", - "extended_slug": "math/algebra/linear-equations-and-inequalitie/graphing-a-line" - }, - "projects": { - "slug": "projects", - "hide": false, - "description": "This section highlights hands-on projects designed to inspire real world explorations and critical thinking.", - "title": "Projects", - "kind": "Topic", - "id": "projects", - "topic_page_url": "/science/projects", - "path": "/science/projects/", - "extended_slug": "science/projects" - }, - "preload-and-afterload": { - "slug": "preload-and-afterload", - "hide": false, - "description": "Find out exactly what preload and afterload mean, and why most of us use a handy shortcut to guess-timating what they are!", - "title": "Preload and Afterload", - "kind": "Topic", - "id": "preload-and-afterload", - "topic_page_url": "/science/healthcare-and-medicine/preload-and-afterload", - "path": "/science/healthcare-and-medicine/preload-and-afterload/", - "extended_slug": "science/healthcare-and-medicine/preload-and-afterload" - }, - "fetal-circulation": { - "slug": "fetal-circulation", - "hide": false, - "description": "Find out how the heart and circulatory system work in the fetus!", - "title": "Fetal Circulation", - "kind": "Topic", - "id": "fetal-circulation", - "topic_page_url": "/science/healthcare-and-medicine/fetal-circulation", - "path": "/science/healthcare-and-medicine/fetal-circulation/", - "extended_slug": "science/healthcare-and-medicine/fetal-circulation" - }, - "immunology": { - "slug": "immunology", - "hide": false, - "description": "", - "title": "Immunology", - "kind": "Topic", - "id": "immunology", - "topic_page_url": "/science/biology/immunology", - "path": "/science/biology/immunology/", - "extended_slug": "science/biology/immunology" - }, - "nerve-regulation-of-the-heart": { - "slug": "nerve-regulation-of-the-heart", + "banking-and-money": { + "slug": "banking-and-money", "hide": false, - "description": "Learn how the sympathetic and parasympathetic nerves regulate your heart in so many different ways!", - "title": "Nerve Regulation of the Heart", + "description": "We all use money and most of us use banks. Despite this, the actual working of the banking system is a bit of a mystery to most (especially fractional reserve banking).\n\nThis older tutorial (bad handwriting and resolution) starts from a basic society looking to do more than barter and incrementally builds to a modern society with fraction reserve banking. Through this process, you will hopefully gain a deep understanding of how money and banking works in our modern world.", + "title": "Banking and Money", "kind": "Topic", - "id": "nerve-regulation-of-the-heart", - "topic_page_url": "/science/healthcare-and-medicine/nerve-regulation-of-the-heart", - "path": "/science/healthcare-and-medicine/nerve-regulation-of-the-heart/", - "extended_slug": "science/healthcare-and-medicine/nerve-regulation-of-the-heart" + "id": "banking-and-money", + "topic_page_url": "/science/core-finance/money-and-banking/banking-and-money", + "path": "/science/core-finance/money-and-banking/banking-and-money/", + "extended_slug": "science/core-finance/money-and-banking/banking-and-money" }, - "systems-of-eq-overview": { - "slug": "systems-of-eq-overview", + "independent_events_precalc": { + "slug": "independent_events_precalc", "hide": false, - "description": "Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like \"the make-up of change in a troll's pocket\" or \"how can order the right amount of potato chips for a King's party.\" Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution. This tutorial will also help you think about when system might have no solution or an infinite number of solutions. Very, very exciting stuff!", - "title": "A system for solving the King's problems", + "description": "What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial).\n\nIn this tutorial, we'll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events).", + "title": "Compound, independent events", "kind": "Topic", - "id": "systems-of-eq-overview", - "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview", - "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/", - "extended_slug": "math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview" + "id": "independent_events_precalc", + "topic_page_url": "/math/trigonometry/prob_comb/independent_events_precalc", + "path": "/math/trigonometry/prob_comb/independent_events_precalc/", + "extended_slug": "math/trigonometry/prob_comb/independent_events_precalc" }, - "intro-to-euclidean-geo": { - "slug": "intro-to-euclidean-geo", + "hyperbolic_trig_topic": { + "slug": "hyperbolic_trig_topic", "hide": false, - "description": "Understanding the purpose, notation, and building blocks of geometry.", - "title": "Introduction to Euclidean geometry", + "description": "Motivation and understanding of hyperbolic trig functions.", + "title": "Hyperbolic trig functions", "kind": "Topic", - "id": "intro-to-euclidean-geo", - "topic_page_url": "/math/geometry/intro-to-euclidean-geo", - "path": "/math/geometry/intro-to-euclidean-geo/", - "extended_slug": "math/geometry/intro-to-euclidean-geo" + "id": "hyperbolic_trig_topic", + "topic_page_url": "/math/trigonometry/hyperbolic_trig_topic", + "path": "/math/trigonometry/hyperbolic_trig_topic/", + "extended_slug": "math/trigonometry/hyperbolic_trig_topic" }, - "polygons-quads-parallelograms": { - "slug": "polygons-quads-parallelograms", + "variance_std_deviation": { + "slug": "variance_std_deviation", "hide": false, - "description": "Identifying types of quadrilaterals, finding measurements, and applying and proving postulates.", - "title": "Polygons, quadrilaterals, and parallelograms", + "description": "We have tools (like the arithmetic mean) to measure central tendency and are now curious about representing how much the data in a set varies from that central tendency. In this tutorial we introduce the variance and standard deviation (which is just the square root of the variance) as two commonly used tools for doing this.", + "title": "Variance and standard deviation", "kind": "Topic", - "id": "polygons-quads-parallelograms", - "topic_page_url": "/math/geometry/polygons-quads-parallelograms", - "path": "/math/geometry/polygons-quads-parallelograms/", - "extended_slug": "math/geometry/polygons-quads-parallelograms" + "id": "variance_std_deviation", + "topic_page_url": "/math/probability/descriptive-statistics/variance_std_deviation", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/", + "extended_slug": "math/probability/descriptive-statistics/variance_std_deviation" }, - "logical-reasoning": { - "slug": "logical-reasoning", + "decimal_rounding_estimation": { + "slug": "decimal_rounding_estimation", "hide": false, - "description": "", - "title": "Logical reasoning", + "description": "Laziness is usually considered a bad thing. But sometimes, it is useful to be lazy in a smart way. Why do a big, hairy calculation if you just need a rough estimate? Why keep track of 2.345609 when you only need 2.35? \n\nThis tutorial will get you comfortable with sometimes being a little rough with numbers. By being able to round and estimate them, it'll only add one more tool to your toolkit.", + "title": "Estimating and rounding with decimals", "kind": "Topic", - "id": "logical-reasoning", - "topic_page_url": "/math/geometry/logical-reasoning/e", - "path": "/math/geometry/logical-reasoning/", - "extended_slug": "math/geometry/logical-reasoning" + "id": "decimal_rounding_estimation", + "topic_page_url": "/math/arithmetic/decimals/decimal_rounding_estimation", + "path": "/math/arithmetic/decimals/decimal_rounding_estimation/", + "extended_slug": "math/arithmetic/decimals/decimal_rounding_estimation" }, - "the-lungs": { - "slug": "the-lungs", + "triangle_property_review": { + "slug": "triangle_property_review", "hide": false, - "description": "Get a better understanding of how your lungs help you to sing and survive!", - "title": "The Lungs", + "description": "This tutorial brings together all of the major ideas in this topic. First, it starts off with a light-weight review of the various ideas in the topic. It then goes into a heavy-weight proof of a truly, truly, truly amazing idea. It was amazing enough that orthocenters, circumcenters, and centroids exist , but we'll see in the videos on Euler lines that they sit on the same line themselves (incenters must be feeling lonely)!!!!!!!", + "title": "Bringing it all together", "kind": "Topic", - "id": "the-lungs", - "topic_page_url": "/science/healthcare-and-medicine/the-lungs", - "path": "/science/healthcare-and-medicine/the-lungs/", - "extended_slug": "science/healthcare-and-medicine/the-lungs" + "id": "triangle_property_review", + "topic_page_url": "/math/geometry/triangle-properties/triangle_property_review", + "path": "/math/geometry/triangle-properties/triangle_property_review/", + "extended_slug": "math/geometry/triangle-properties/triangle_property_review" }, - "heart-muscle-contraction": { - "slug": "heart-muscle-contraction", + "cosmos-time-scale-tutorial": { + "slug": "cosmos-time-scale-tutorial", "hide": false, - "description": "Find out more about heart muscles and what happens when they contract.", - "title": "Heart Muscle Contraction", + "description": "Not only is the universe unimaginable large (possibly infinite), but it is also unimaginably old. If you were feeling small in space, wait until you realize that all of human history is but a tiny blip in the history of the universe.", + "title": "Time scale of the cosmos", "kind": "Topic", - "id": "heart-muscle-contraction", - "topic_page_url": "/science/healthcare-and-medicine/heart-muscle-contraction", - "path": "/science/healthcare-and-medicine/heart-muscle-contraction/", - "extended_slug": "science/healthcare-and-medicine/heart-muscle-contraction" + "id": "cosmos-time-scale-tutorial", + "topic_page_url": "/science/cosmology-and-astronomy/universe-scale-topic/cosmos-time-scale-tutorial", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/cosmos-time-scale-tutorial/", + "extended_slug": "science/cosmology-and-astronomy/universe-scale-topic/cosmos-time-scale-tutorial" }, - "extra-systems": { - "slug": "extra-systems", + "rational_expressions": { + "slug": "rational_expressions", "hide": false, - "description": "This tutorial doesn't involve talking parrots and greedy trolls, but it reviews many of the same ideas without a story and will give you a lot of exposure to the types of problems that systems of equations can solve. These include rate problems, mixture problems, and others. If you can pause and solve the example videos before Sal does, we'd say that you have a pretty good grasp of systems. Enjoy!", - "title": "Extra systems of equation practice", + "description": "Have you ever wondered what would happen if you divide one polynomial by another? What if you set that equal to something else? Would it be as unbelievably epic as you suspect it would be?\n\nWell, rational expressions are just algebraic expressions formed by dividing one expression by another. We get a rational equation if we set that equal to something else. In this tutorial, we work through examples to understand and apply rational expressions and equations.", + "title": "Rational expressions and equations", "kind": "Topic", - "id": "extra-systems", - "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/extra-systems", - "path": "/math/algebra/systems-of-eq-and-ineq/extra-systems/", - "extended_slug": "math/algebra/systems-of-eq-and-ineq/extra-systems" + "id": "rational_expressions", + "topic_page_url": "/math/algebra/rational-expressions/rational_expressions", + "path": "/math/algebra/rational-expressions/rational_expressions/", + "extended_slug": "math/algebra/rational-expressions/rational_expressions" }, - "venture-capital-and-capital-markets": { - "slug": "venture-capital-and-capital-markets", + "exp_unknown_vars": { + "slug": "exp_unknown_vars", "hide": false, - "description": "All of the sources of funding (capital) for a business.", - "title": "Venture Capital and Capital Markets", + "description": "When solving equations, there is a natural hunger to figure out what an unknown is equal to. This is especially the case if we want to evaluate an expression that the unknown is part of. This tutorial exposes us to a class of solvable problems that challenges this hunger and forces us to be the thinking human beings that we are!\n\nIn case you're curious, these types of problems are known to show up on standardized exams to see if you are really a thinking human (as opposed to a robot possum).", + "title": "Evaluating expressions with unknown variables", "kind": "Topic", - "id": "venture-capital-and-capital-markets", - "topic_page_url": "/finance-economics/venture-capital-and-capital-markets", - "path": "/finance-economics/venture-capital-and-capital-markets/", - "extended_slug": "finance-economics/venture-capital-and-capital-markets" + "id": "exp_unknown_vars", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars", + "path": "/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars" }, "heart-depolarization": { "slug": "heart-depolarization", @@ -605,38 +517,27 @@ "path": "/science/healthcare-and-medicine/heart-depolarization/", "extended_slug": "science/healthcare-and-medicine/heart-depolarization" }, - "computer-science": { - "slug": "computer-science", - "hide": false, - "description": "Introduction to programming and computer science", - "title": "Computer Science", - "kind": "Topic", - "id": "computer-science", - "topic_page_url": "/science/computer-science", - "path": "/science/computer-science/", - "extended_slug": "science/computer-science" - }, - "calculus": { - "slug": "calculus", + "abs_value_tutorial": { + "slug": "abs_value_tutorial", "hide": false, - "description": "Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)", - "title": "Calculus", + "description": "You'll find absolute value absolutely straightforward--it is just the \"distance from zero\". If you have a positive number, it is its own absolute value. If you have a negative number, just make it positive to get the absolute value. \n\nAs you see as you develop mathematically, this idea will eventually extended to more contexts and dimensions, so super important that you understand this core concept now.", + "title": "Absolute value", "kind": "Topic", - "id": "calculus", - "topic_page_url": "/math/calculus", - "path": "/math/calculus/", - "extended_slug": "math/calculus" + "id": "abs_value_tutorial", + "topic_page_url": "/math/arithmetic/absolute-value/abs_value_tutorial", + "path": "/math/arithmetic/absolute-value/abs_value_tutorial/", + "extended_slug": "math/arithmetic/absolute-value/abs_value_tutorial" }, - "graphing-linear-inequalities": { - "slug": "graphing-linear-inequalities", + "bond-line-structures": { + "slug": "bond-line-structures", "hide": false, - "description": "Graphing linear inequalities on the coordinate plane and determining if a point is a solution", - "title": "Graphing linear inequalities", + "description": "In this tutorial, Jay explains how bond-line structures are used as a form of organic shorthand so that organic chemists can be lazy and not label carbon and hydrogen atoms. Bond-line structures are then used to draw a few constitutional isomers.", + "title": "Bond-line structures", "kind": "Topic", - "id": "graphing-linear-inequalities", - "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities", - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities/", - "extended_slug": "math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities" + "id": "bond-line-structures", + "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/bond-line-structures", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/bond-line-structures/", + "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/bond-line-structures" }, "cahsee": { "slug": "cahsee", @@ -649,159 +550,181 @@ "path": "/test-prep/cahsee/", "extended_slug": "test-prep/cahsee" }, - "segments-and-angles": { - "slug": "segments-and-angles", + "new_operators": { + "slug": "new_operators", "hide": false, - "description": null, - "title": "Segments and angles", + "description": "Are you bored of the traditional operators of addition, subtraction, multiplication and division? Do even exponents seem a little run-of-the-mill?\n\nWell in this tutorial, we will--somewhat arbitrarily--define completely new operators and notation (which are essentially new function definitions without the function notation). Not only will this tutorial expand your mind, it could be the basis of a lot of fun at your next dinner party!", + "title": "New operator definitions", "kind": "Topic", - "id": "segments-and-angles", - "topic_page_url": "/math/geometry/segments-and-angles/e", - "path": "/math/geometry/segments-and-angles/", - "extended_slug": "math/geometry/segments-and-angles" + "id": "new_operators", + "topic_page_url": "/math/algebra/algebra-functions/new_operators", + "path": "/math/algebra/algebra-functions/new_operators/", + "extended_slug": "math/algebra/algebra-functions/new_operators" }, - "coordinate-plane": { - "slug": "coordinate-plane", + "dividing_polynomials": { + "slug": "dividing_polynomials", "hide": false, - "description": "How can we communicate exactly where something is in two dimensions? Who was this Descartes character? Equations can be visualized with pictures? You must be kidding!\n\nIn this tutorial, we cover the basics of the coordinate plane. We then delve into graphing points and determining whether a point is a solution of an equation. This will be a great tutorial experience if you are just starting to ramp up your understanding of graphing or need some fundamental review.", - "title": "Coordinate plane", + "description": "You know what polynomials are. You know how to add, subtract, and multiply them. Unless you are completely incurious, you must be wondering how to divide them!\n\nIn this tutorial we'll explore how we divide polynomials--both through algebraic long division and synthetic division. (We like classic algebraic long division more since you can actually understand what you're doing.)", + "title": "Dividing polynomials", "kind": "Topic", - "id": "coordinate-plane", - "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane", - "path": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane/", - "extended_slug": "math/algebra/linear-equations-and-inequalitie/coordinate-plane" + "id": "dividing_polynomials", + "topic_page_url": "/math/algebra/polynomials/dividing_polynomials", + "path": "/math/algebra/polynomials/dividing_polynomials/", + "extended_slug": "math/algebra/polynomials/dividing_polynomials" }, - "super-yoga": { - "slug": "super-yoga", + "fucntion_inverses": { + "slug": "fucntion_inverses", "hide": false, - "description": "This tutorial is a survey of the major themes in basic algebra in five videos! From basic equations to graphing to systems, it has it all. Great for someone looking for a gentle, but broad understanding of the use of algebra. Also great for anyone unsure of which gym plan they should pick!", - "title": "Super Yoga plans", + "description": "Functions associate a set of inputs with a set of outputs (in fancy language, they \"map\" one set to another). But can we go the other way around? Are there functions that can start with the outputs as inputs and produce the original inputs as outputs? Yes, there are! They are called function inverses!\n\nThis tutorial works through a bunch of examples to get you familiar with the world of function inverses.", + "title": "Function inverses", "kind": "Topic", - "id": "super-yoga", - "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/super-yoga", - "path": "/math/algebra/solving-linear-equations-and-inequalities/super-yoga/", - "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/super-yoga" + "id": "fucntion_inverses", + "topic_page_url": "/math/trigonometry/functions_and_graphs/fucntion_inverses", + "path": "/math/trigonometry/functions_and_graphs/fucntion_inverses/", + "extended_slug": "math/trigonometry/functions_and_graphs/fucntion_inverses" }, - "introduction-to-art-history": { - "slug": "introduction-to-art-history", + "conjugation-diels-alder-mo-theory": { + "slug": "conjugation-diels-alder-mo-theory", "hide": false, - "description": "", - "title": "Introduction to Art History", + "description": "conjugation, conjugated dienes, addition reactions of conjugated dienes, diels-alder reaction", + "title": "Conjugation, Diels-Alder, and MO theory", "kind": "Topic", - "id": "introduction-to-art-history", - "topic_page_url": "/humanities/art-history/introduction-to-art-history", - "path": "/humanities/art-history/introduction-to-art-history/", - "extended_slug": "humanities/art-history/introduction-to-art-history" + "id": "conjugation-diels-alder-mo-theory", + "topic_page_url": "/science/organic-chemistry/conjugation-diels-alder-mo-theory", + "path": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/", + "extended_slug": "science/organic-chemistry/conjugation-diels-alder-mo-theory" }, - "triangle-properties": { - "slug": "triangle-properties", + "permutations_and_combinations": { + "slug": "permutations_and_combinations", "hide": false, - "description": null, - "title": "Triangle properties", + "description": "If want to display your Chuck Norris dolls on your desk at school and there is only room for five of them. Unfortunately, you own 50. How many ways can you pick the dolls and arrange them on your desk? What if you don't what order they are in or how they are posed (okay, of course you care about their awesome poses)?", + "title": "Permutations and combinations", "kind": "Topic", - "id": "triangle-properties", - "topic_page_url": "/math/geometry/triangle-properties/e", - "path": "/math/geometry/triangle-properties/", - "extended_slug": "math/geometry/triangle-properties" + "id": "permutations_and_combinations", + "topic_page_url": "/math/probability/probability-and-combinatorics-topic/permutations_and_combinations", + "path": "/math/probability/probability-and-combinatorics-topic/permutations_and_combinations/", + "extended_slug": "math/probability/probability-and-combinatorics-topic/permutations_and_combinations" }, - "absolute-value": { - "slug": "absolute-value", + "stellar-parallax-tutorial": { + "slug": "stellar-parallax-tutorial", "hide": false, - "description": "Understanding absolute value and solving absolute value equations and inequalities.", - "title": "Absolute value", + "description": "We've talked a lot about distances to stars, but how do we know? Stellar parallax--which looks at how much a star shifts in the sky when Earth is at various points in its orbit--is the oldest technique we have for measuring how far stars are.\n\nIt is great for \"nearby\" stars even with precise instruments (i.e, in our part of our galaxy). To measure distance further, we have to start thinking about Cepheid variables (other tutorial).", + "title": "Stellar parallax", "kind": "Topic", - "id": "absolute-value", - "topic_page_url": "/math/algebra/absolute-value", - "path": "/math/arithmetic/absolute-value/", - "extended_slug": "math/algebra/absolute-value" + "id": "stellar-parallax-tutorial", + "topic_page_url": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial", + "path": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial/", + "extended_slug": "science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial" }, - "arterial-stiffness": { - "slug": "arterial-stiffness", + "universe-scale-topic": { + "slug": "universe-scale-topic", "hide": false, - "description": "Find out why having \"stiff arteries\" can increase blood pressure and cause uneven blood flow. It all comes back to the idea of \"total energy\"!", - "title": "Arterial Stiffness", + "description": "Things in our universe can be unimaginably large and small. In this topic, we'll try to imagine the unimaginable!", + "title": "Scale of the Universe", "kind": "Topic", - "id": "arterial-stiffness", - "topic_page_url": "/science/healthcare-and-medicine/arterial-stiffness", - "path": "/science/healthcare-and-medicine/arterial-stiffness/", - "extended_slug": "science/healthcare-and-medicine/arterial-stiffness" + "id": "universe-scale-topic", + "topic_page_url": "/science/cosmology-and-astronomy/universe-scale-topic", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/", + "extended_slug": "science/cosmology-and-astronomy/universe-scale-topic" }, - "reverse-engineering": { - "slug": "reverse-engineering", + "hypothesis-testing": { + "slug": "hypothesis-testing", "hide": false, - "description": "Videos exploring the way things work. These videos have recently been updated to included 1080p HD versions.", - "title": "Reverse Engineering", + "description": "This tutorial helps us answer one of the most important questions not only in statistics, but all of science: how confident are we that a result from a new drug or process is not due to random chance but due to an actual impact.\n\nIf you are familiar with sampling distributions and confidence intervals, you're ready for this adventure!", + "title": "Hypothesis testing with one sample", "kind": "Topic", - "id": "reverse-engineering", - "topic_page_url": "/science/projects/reverse-engineering", - "path": "/science/projects/reverse-engineering/", - "extended_slug": "science/projects/reverse-engineering" + "id": "hypothesis-testing", + "topic_page_url": "/math/probability/statistics/hypothesis-testing", + "path": "/math/probability/statistics-inferential/hypothesis-testing/", + "extended_slug": "math/probability/statistics/hypothesis-testing" + }, + "tension-tutorial": { + "slug": "tension-tutorial", + "hide": false, + "description": "Bad commute? Baby crying? Bills to pay? Looking to take a bath with some Calgon (do a search on YouTube for context) to ease your tension? This tutorial has nothing (actually little, not nothing) to do with that.\n\nSo far, most of the forces we've been dealing with are forces of \"pushing\"--contact forces at the macro level because of atoms not wanting to get to close at the micro level. Now we'll deal with \"pulling\" force or tension (at a micro level this is the force of attraction between bonded atoms).", + "title": "Tension", + "kind": "Topic", + "id": "tension-tutorial", + "topic_page_url": "/science/physics/forces-newtons-laws/tension-tutorial", + "path": "/science/physics/forces-newtons-laws/tension-tutorial/", + "extended_slug": "science/physics/forces-newtons-laws/tension-tutorial" + }, + "linear-momentum": { + "slug": "linear-momentum", + "hide": false, + "description": "Linear momentum. Conservation of momentum. Elastic collisions.", + "title": "Impacts and linear momentum", + "kind": "Topic", + "id": "linear-momentum", + "topic_page_url": "/science/physics/linear-momentum", + "path": "/science/physics/linear-momentum/", + "extended_slug": "science/physics/linear-momentum" }, "congruent-triangles": { "slug": "congruent-triangles", "hide": false, - "description": null, + "description": "If you can take one figure and flip, shift and rotate (not resize) it to be identical to another figure, then the two figures are congruent. This topic explores this foundational idea in geometry.", "title": "Congruent triangles", "kind": "Topic", "id": "congruent-triangles", - "topic_page_url": "/math/geometry/congruent-triangles/e", + "topic_page_url": "/math/geometry/congruent-triangles", "path": "/math/geometry/congruent-triangles/", "extended_slug": "math/geometry/congruent-triangles" }, - "orbitals-and-electrons": { - "slug": "orbitals-and-electrons", + "ab_examples": { + "slug": "ab_examples", "hide": false, - "description": "", - "title": "Orbitals and Electrons", + "description": "Many of you are planning on taking the Calculus AB advanced placement exam. These are example problems taken directly from previous years' exams. Even if you aren't taking the exam, these are very useful problem for making sure you understand your calculus (as always, best to pause the videos and try them yourself before Sal does).", + "title": "Calculus AB example questions", "kind": "Topic", - "id": "orbitals-and-electrons", - "topic_page_url": "/science/chemistry/orbitals-and-electrons", - "path": "/science/chemistry/orbitals-and-electrons/", - "extended_slug": "science/chemistry/orbitals-and-electrons" + "id": "ab_examples", + "topic_page_url": "/math/calculus/ap_calc_topic/ab_examples", + "path": "/math/calculus/ap_calc_topic/ab_examples/", + "extended_slug": "math/calculus/ap_calc_topic/ab_examples" }, - "inequalities": { - "slug": "inequalities", + "conic_basics": { + "slug": "conic_basics", "hide": false, - "description": "In this tutorial you'll discover that much of the logic you've used to solve equations can also be applied to think about inequalities!", - "title": "Inequalities", + "description": "What is a conic other than a jazz singer from New Orleans? Well, as you'll see in this tutorial, a conic section is formed when you intersect a plane with cones. You end up with some familiar shapes (like circles and ellipses) and some that are a bit unexpected (like hyperbolas). This tutorial gets you set up with the basics and is a good foundation for going deeper into the world of conic sections.", + "title": "Conic section basics", "kind": "Topic", - "id": "inequalities", - "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/inequalities", - "path": "/math/algebra/solving-linear-equations-and-inequalities/inequalities/", - "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/inequalities" + "id": "conic_basics", + "topic_page_url": "/math/algebra/conic-sections/conic_basics", + "path": "/math/algebra/conic-sections/conic_basics/", + "extended_slug": "math/algebra/conic-sections/conic_basics" }, - "radical_equations": { - "slug": "radical_equations", + "definite_integrals": { + "slug": "definite_integrals", "hide": false, - "description": "You're enjoying algebra and equations, but you miss radicals. Wouldn't it be unbelievably awesome if you could solve equations with radicals in them. Well, you're dreams can come true.\n\nIn this tutorial, we work through a bunch of examples to help you understand how to solve radical equations. As always, pause the videos and try to solve the example before Sal does.", - "title": "Radical equations", + "description": "Until now, we have been viewing integrals as anti-derivatives. Now we explore them as the area under a curve between two boundaries (we will now construct definite integrals by defining the boundaries). This is the real meat of integral calculus!", + "title": "Definite integrals", "kind": "Topic", - "id": "radical_equations", - "topic_page_url": "/math/algebra/exponent-equations/radical_equations", - "path": "/math/algebra/exponent-equations/radical_equations/", - "extended_slug": "math/algebra/exponent-equations/radical_equations" + "id": "definite_integrals", + "topic_page_url": "/math/calculus/integral-calculus/definite_integrals", + "path": "/math/calculus/integral-calculus/definite_integrals/", + "extended_slug": "math/calculus/integral-calculus/definite_integrals" }, - "quadrilaterals-and-polygons": { - "slug": "quadrilaterals-and-polygons", + "surface_parametrization": { + "slug": "surface_parametrization", "hide": false, - "description": "", - "title": "Quadrilaterals and polygons", + "description": "You can parameterize a line with a position vector valued function and understand what a differential means in that context already. This tutorial will take things further by parametrizing surfaces (2 parameters baby!) and have us thinking about partial differentials.", + "title": "Parameterizing a surface", "kind": "Topic", - "id": "quadrilaterals-and-polygons", - "topic_page_url": "/math/geometry/quadrilaterals-and-polygons/e", - "path": "/math/geometry/quadrilaterals-and-polygons/", - "extended_slug": "math/geometry/quadrilaterals-and-polygons" + "id": "surface_parametrization", + "topic_page_url": "/math/calculus/multivariable-calculus/surface_parametrization", + "path": "/math/calculus/multivariable-calculus/surface_parametrization/", + "extended_slug": "math/calculus/multivariable-calculus/surface_parametrization" }, - "fluids": { - "slug": "fluids", + "Adding_and_subtracting_fractions": { + "slug": "Adding_and_subtracting_fractions", "hide": false, - "description": "", - "title": "Fluids", + "description": "You've already got 2 cups of sugar in the cupboard. Your grandmother's recipe for disgustingly-sweet-fudge-cake calls for 3 and 1/3 cups of sugar. How much sugar do you need to borrow from you robot neighbor?\n\nAdding and subtracting fractions is key. It might be a good idea to look at the equivalent fractions tutorial before tackling this one.", + "title": "Adding and subtracting fractions", "kind": "Topic", - "id": "fluids", - "topic_page_url": "/science/physics/fluids", - "path": "/science/physics/fluids/", - "extended_slug": "science/physics/fluids" + "id": "Adding_and_subtracting_fractions", + "topic_page_url": "/math/arithmetic/fractions/Adding_and_subtracting_fractions", + "path": "/math/arithmetic/fractions/Adding_and_subtracting_fractions/", + "extended_slug": "math/arithmetic/fractions/Adding_and_subtracting_fractions" }, "health-care-system": { "slug": "health-care-system", @@ -814,27 +737,27 @@ "path": "/science/healthcare-and-medicine/health-care-system/", "extended_slug": "science/healthcare-and-medicine/health-care-system" }, - "microeconomics": { - "slug": "microeconomics", + "naming-carboxylic-acids-sal": { + "slug": "naming-carboxylic-acids-sal", "hide": false, - "description": "Topics covered in a traditional college level introductory microeconomics course", - "title": "Microeconomics", + "description": "In this tutorial, Sal shows how to name carboxylic acids.", + "title": "Naming carboxylic acids", "kind": "Topic", - "id": "microeconomics", - "topic_page_url": "/finance-economics/microeconomics", - "path": "/finance-economics/microeconomics/", - "extended_slug": "finance-economics/microeconomics" + "id": "naming-carboxylic-acids-sal", + "topic_page_url": "/science/organic-chemistry/carboxylic-acids-derivatives/naming-carboxylic-acids-sal", + "path": "/science/organic-chemistry/carboxylic-acids-derivatives/naming-carboxylic-acids-sal/", + "extended_slug": "science/organic-chemistry/carboxylic-acids-derivatives/naming-carboxylic-acids-sal" }, - "problem-solving": { - "slug": "problem-solving", + "probability-and-combinatorics-topic": { + "slug": "probability-and-combinatorics-topic", "hide": false, - "description": "Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)", - "title": "Problem Solving", + "description": "Permutations and combinations. Using combinatorics to solve questions in probability.", + "title": "Probability and combinatorics", "kind": "Topic", - "id": "problem-solving", - "topic_page_url": "/test-prep/gmat/problem-solving", - "path": "/test-prep/gmat/problem-solving/", - "extended_slug": "test-prep/gmat/problem-solving" + "id": "probability-and-combinatorics-topic", + "topic_page_url": "/math/probability/probability-and-combinatorics-topic", + "path": "/math/probability/probability-and-combinatorics-topic/", + "extended_slug": "math/probability/probability-and-combinatorics-topic" }, "differential-equations": { "slug": "differential-equations", @@ -847,82 +770,60 @@ "path": "/math/differential-equations/", "extended_slug": "math/differential-equations" }, - "math": { - "slug": "math", + "quad_formula_tutorial": { + "slug": "quad_formula_tutorial", "hide": false, - "description": null, - "title": "Math", + "description": "You're already familiar with factoring quadratics, but have begun to realize that it only is useful in certain cases. Well, this tutorial will introduce you to something far more powerful and general. Even better, it is the bridge to understanding and proving the famous quadratic formula.\n\nWelcome to the world of completing the square!", + "title": "Completing the square and the quadratic formula", "kind": "Topic", - "id": "math", - "topic_page_url": null, - "path": "/math/", - "extended_slug": "math" + "id": "quad_formula_tutorial", + "topic_page_url": "/math/trigonometry/polynomial_and_rational/quad_formula_tutorial", + "path": "/math/trigonometry/polynomial_and_rational/quad_formula_tutorial/", + "extended_slug": "math/trigonometry/polynomial_and_rational/quad_formula_tutorial" }, - "Bit-zee": { - "slug": "Bit-zee", + "fancier_systems_precalc": { + "slug": "fancier_systems_precalc", "hide": false, - "description": "This project is a low cost robot made from every day items that are taken apart and described in the reverse engineering section", - "title": "Bit-zee Bot", + "description": "Two equations with two unknowns not challenging enough for you? How about three equations with three unknowns? Visualizing lines in 2-D too easy? Well, now you're going to visualize intersecting planes in 3-D, baby. (Okay, we admit that it is weird for a website to call you \"baby.\") Tired of linear systems? Well, we might just bring a little nonlinearity into your life, honey. (You might want to brush up on your solving quadratics before tackling the non-linear systems.) As always, try to pause the videos and do them before Sal does!", + "title": "Fancier systems", "kind": "Topic", - "id": "Bit-zee", - "topic_page_url": "/science/projects/Bit-zee", - "path": "/science/projects/Bit-zee/", - "extended_slug": "science/projects/Bit-zee" + "id": "fancier_systems_precalc", + "topic_page_url": "/math/trigonometry/systems_eq_ineq/fancier_systems_precalc", + "path": "/math/trigonometry/systems_eq_ineq/fancier_systems_precalc/", + "extended_slug": "math/trigonometry/systems_eq_ineq/fancier_systems_precalc" }, - "cosmology-and-astronomy": { - "slug": "cosmology-and-astronomy", + "bond-line-structures-alkanes-cycloalkanes": { + "slug": "bond-line-structures-alkanes-cycloalkanes", "hide": false, - "description": "Videos attempting to grasp a little bit about our Universe (many of the topics associated with \"Big History\")", - "title": "Cosmology and Astronomy", - "kind": "Topic", - "id": "cosmology-and-astronomy", - "topic_page_url": "/science/cosmology-and-astronomy", - "path": "/science/cosmology-and-astronomy/", - "extended_slug": "science/cosmology-and-astronomy" - }, - "changing-the-PV-loop": { - "slug": "changing-the-PV-loop", - "hide": false, - "description": "Find out how preload, afterload, and contractility work together to change your PV Loop (and affect stroke volume and cardiac output)!", - "title": "Changing the PV Loop", - "kind": "Topic", - "id": "changing-the-PV-loop", - "topic_page_url": "/science/healthcare-and-medicine/changing-the-PV-loop", - "path": "/science/healthcare-and-medicine/changing-the-PV-loop/", - "extended_slug": "science/healthcare-and-medicine/changing-the-PV-loop" - }, - "biology": { - "slug": "biology", - "hide": false, - "description": "Covers topics seen in a first year college or high school biology course.", - "title": "Biology", + "description": "bond-line structures, functional groups, naming alkanes and cycloalkanes, conformations of alkanes and cycloalkanes, formal charge, resonance, and free radical reactions", + "title": "Bond-line structures, alkanes, and cycloalkanes", "kind": "Topic", - "id": "biology", - "topic_page_url": "/science/biology", - "path": "/science/biology/", - "extended_slug": "science/biology" + "id": "bond-line-structures-alkanes-cycloalkanes", + "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/", + "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes" }, - "exponents-radicals": { - "slug": "exponents-radicals", + "reduced_row_echelon": { + "slug": "reduced_row_echelon", "hide": false, - "description": "Understanding and solving exponents without algebra.", - "title": "Exponents, radicals and scientific notation", + "description": "You've probably already appreciated that there are many ways to solve a system of equations. Well, we'll introduce you to another one in this tutorial. Reduced row echelon form has us performing operations on matrices to get them in a form that helps us solve the system.", + "title": "Reduced row echelon form", "kind": "Topic", - "id": "exponents-radicals", - "topic_page_url": "/math/arithmetic/exponents-radicals", - "path": "/math/arithmetic/exponents-radicals/", - "extended_slug": "math/arithmetic/exponents-radicals" + "id": "reduced_row_echelon", + "topic_page_url": "/math/algebra/algebra-matrices/reduced_row_echelon", + "path": "/math/algebra/algebra-matrices/reduced_row_echelon/", + "extended_slug": "math/algebra/algebra-matrices/reduced_row_echelon" }, - "evolution-and-natural-selection": { - "slug": "evolution-and-natural-selection", + "second-order-differential-equations": { + "slug": "second-order-differential-equations", "hide": false, - "description": "", - "title": "Evolution and natural selection", + "description": "Linear differential equations that contain second derivatives", + "title": "Second order linear equations", "kind": "Topic", - "id": "evolution-and-natural-selection", - "topic_page_url": "/science/biology/evolution-and-natural-selection", - "path": "/science/biology/evolution-and-natural-selection/", - "extended_slug": "science/biology/evolution-and-natural-selection" + "id": "second-order-differential-equations", + "topic_page_url": "/math/differential-equations/second-order-differential-equations", + "path": "/math/differential-equations/second-order-differential-equations/", + "extended_slug": "math/differential-equations/second-order-differential-equations" }, "addition-subtraction": { "slug": "addition-subtraction", @@ -935,280 +836,291 @@ "path": "/math/arithmetic/addition-subtraction/", "extended_slug": "math/arithmetic/addition-subtraction" }, - "gmat": { - "slug": "gmat", + "consumption-function": { + "slug": "consumption-function", "hide": false, - "description": "Sal works through problems in the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005). You should take the practice tests on your own, grade them and then use these videos to understand the problems you didn't get or to review. Have fun!", - "title": "GMAT", + "description": "We are steadily building up the tools to understand the Keynesian Cross and the IS-LM model. In this tutorial, we begin to model consumption as a linear function of disposable income. Seems reasonable to me.", + "title": "Consumption function", "kind": "Topic", - "id": "gmat", - "topic_page_url": "/test-prep/gmat", - "path": "/test-prep/gmat/", - "extended_slug": "test-prep/gmat" + "id": "consumption-function", + "topic_page_url": "/science/macroeconomics/income-and-expenditure-topic/consumption-function", + "path": "/science/macroeconomics/income-and-expenditure-topic/consumption-function/", + "extended_slug": "science/macroeconomics/income-and-expenditure-topic/consumption-function" }, - "art-history-1400-1500-renaissance-in-italy-and-the-north": { - "slug": "art-history-1400-1500-renaissance-in-italy-and-the-north", + "art-history-1848-1907-industrial-revolution-ii": { + "slug": "art-history-1848-1907-industrial-revolution-ii", "hide": false, "description": "", - "title": "1400-1500 Renaissance in Italy and the North", + "title": "1848-1907 Industrial Revolution II", "kind": "Topic", - "id": "art-history-1400-1500-renaissance-in-italy-and-the-north", - "topic_page_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north", - "path": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/", - "extended_slug": "humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north" + "id": "art-history-1848-1907-industrial-revolution-ii", + "topic_page_url": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii", + "path": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/", + "extended_slug": "humanities/art-history/art-history-1848-1907-industrial-revolution-ii" }, - "endocrinology-and-diabetes": { - "slug": "endocrinology-and-diabetes", + "investment-vehicles-tutorial": { + "slug": "investment-vehicles-tutorial", "hide": false, - "description": "Learn about hormones and diabetes, as well as some important information on glucose control.", - "title": "Endocrinology and Diabetes", + "description": "", + "title": "Investment vehicles, insurance and retirement", "kind": "Topic", - "id": "endocrinology-and-diabetes", - "topic_page_url": "/science/healthcare-and-medicine/endocrinology-and-diabetes", - "path": "/science/healthcare-and-medicine/endocrinology-and-diabetes/", - "extended_slug": "science/healthcare-and-medicine/endocrinology-and-diabetes" + "id": "investment-vehicles-tutorial", + "topic_page_url": "/science/core-finance/investment-vehicles-tutorial", + "path": "/science/core-finance/investment-vehicles-tutorial/", + "extended_slug": "science/core-finance/investment-vehicles-tutorial" }, - "differential-calculus": { - "slug": "differential-calculus", + "torque-angular-momentum": { + "slug": "torque-angular-momentum", "hide": false, - "description": "", - "title": "Differential calculus", + "description": "Thinking about making things rotate. Center of mass, torque, moments and angular velocity.", + "title": "Moments, torque and angular momentum", "kind": "Topic", - "id": "differential-calculus", - "topic_page_url": "/math/calculus/differential-calculus", - "path": "/math/calculus/differential-calculus/", - "extended_slug": "math/calculus/differential-calculus" + "id": "torque-angular-momentum", + "topic_page_url": "/science/physics/torque-angular-momentum", + "path": "/science/physics/torque-angular-momentum/", + "extended_slug": "science/physics/torque-angular-momentum" }, - "world-of-exponents": { - "slug": "world-of-exponents", + "homogeneous-equations": { + "slug": "homogeneous-equations", "hide": false, - "description": "Addition was nice. Multiplication was cooler. In the mood for a new operation that grows numbers even faster? Ever felt like expressing repeated multiplication with less writing? Ever wanted to describe how most things in the universe grow and shrink? Well, exponents are your answer!\n\nThis tutorial covers everything from basic exponents to negative and fractional ones. It assumes you remember your multiplication, negative numbers and fractions.", - "title": "The world of exponents", + "description": "In this equations, all of the fat is fully mixed in so it doesn't collect at the top. No (that would be homogenized equations).\n\nActually, the term \"homogeneous\" is way overused in differential equations. In this tutorial, we'll look at equations of the form y'=(F(y/x)).", + "title": "Homogeneous equations", "kind": "Topic", - "id": "world-of-exponents", - "topic_page_url": "/math/arithmetic/basic-exponents/world-of-exponents", - "path": "/math/arithmetic/exponents-radicals/world-of-exponents/", - "extended_slug": "math/arithmetic/basic-exponents/world-of-exponents" + "id": "homogeneous-equations", + "topic_page_url": "/math/differential-equations/first-order-differential-equations/homogeneous-equations", + "path": "/math/differential-equations/first-order-differential-equations/homogeneous-equations/", + "extended_slug": "math/differential-equations/first-order-differential-equations/homogeneous-equations" }, - "geometry-2": { - "slug": "geometry-2", + "externalities-topic": { + "slug": "externalities-topic", "hide": false, - "description": "Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Basic understanding of algebra is necessary. Go to the geometry topic for a comprehensive treatment of the subject. ", - "title": "Geometry", + "description": "In many scenarios thinking only about producers' marginal cost or consumers' marginal benefit does not fully capture *all* of the costs or benefits from the production/use of a product. In this tutorial, we explore these externalities (negative and positive ones) to think a bit deeper about ways to maximize total surplus not just for producers and consumers, but for society as a whole.", + "title": "Public goods and externalities", "kind": "Topic", - "id": "geometry-2", - "topic_page_url": "/test-prep/california-standards-test/geometry-2", - "path": "/test-prep/california-standards-test/geometry-2/", - "extended_slug": "test-prep/california-standards-test/geometry-2" + "id": "externalities-topic", + "topic_page_url": "/science/microeconomics/consumer-producer-surplus/externalities-topic", + "path": "/science/microeconomics/consumer-producer-surplus/externalities-topic/", + "extended_slug": "science/microeconomics/consumer-producer-surplus/externalities-topic" }, - "sat-math": { - "slug": "sat-math", + "graphing_inequalities": { + "slug": "graphing_inequalities", "hide": false, - "description": "Sal works through every problem in the first edition of the College Board \"Official SAT Study Guide\" (ISBN Number: 0-87447-718-2 published in 2004). You should take the practice tests on your own, grade them and then use these videos to understand the problems you didn't get or to review. Have fun!\n\nIf you're using the second edition of the study guide with 10 practice tests, you can still use some of these videos. Practice tests 4-10 in the newer book correspond to tests 2-8 below.", - "title": "SAT Math", + "description": "In this tutorial we'll see how to graph linear inequalities on the coordinate plane. We'll also learn how to determine if a particular point is a solution of an inequality.", + "title": "Graphing inequalities", "kind": "Topic", - "id": "sat-math", - "topic_page_url": "/test-prep/sat-math", - "path": "/test-prep/sat-math/", - "extended_slug": "test-prep/sat-math" + "id": "graphing_inequalities", + "topic_page_url": "/math/trigonometry/graphs/graphing_inequalities", + "path": "/math/trigonometry/graphs/graphing_inequalities/", + "extended_slug": "math/trigonometry/graphs/graphing_inequalities" }, "rates-and-ratios": { "slug": "rates-and-ratios", "hide": false, "description": null, - "title": "Rates and ratios", + "title": "Ratios, proportions, units and rates", "kind": "Topic", "id": "rates-and-ratios", - "topic_page_url": "/math/arithmetic/rates-and-ratios/e", + "topic_page_url": "/math/arithmetic/rates-and-ratios", "path": "/math/arithmetic/rates-and-ratios/", "extended_slug": "math/arithmetic/rates-and-ratios" }, - "multivariable-calculus": { - "slug": "multivariable-calculus", + "GDP-components-tutorial": { + "slug": "GDP-components-tutorial", "hide": false, - "description": "", - "title": "Multivariable calculus", + "description": "You already understand the circular nature of the economy and how GDP is defined from the last tutorial. Now let's think about how economists define the composition of GDP. In particular, we'll focus on consumption (C), investment (I), government spending (G) and net exports.", + "title": "Components of GDP", "kind": "Topic", - "id": "multivariable-calculus", - "topic_page_url": "/math/calculus/multivariable-calculus", - "path": "/math/calculus/multivariable-calculus/", - "extended_slug": "math/calculus/multivariable-calculus" + "id": "GDP-components-tutorial", + "topic_page_url": "/science/macroeconomics/gdp-topic/GDP-components-tutorial", + "path": "/science/macroeconomics/gdp-topic/GDP-components-tutorial/", + "extended_slug": "science/macroeconomics/gdp-topic/GDP-components-tutorial" }, - "polynomials": { - "slug": "polynomials", + "free-radical-reaction-alkanes": { + "slug": "free-radical-reaction-alkanes", "hide": false, - "description": "Using polynomial expressions and factoring polynomials.", - "title": "Polynomials", + "description": "In this tutorial, Sal introduces free radical reactions by showing the reaction of methane with chlorine.", + "title": "Free radical reaction", "kind": "Topic", - "id": "polynomials", - "topic_page_url": "/math/algebra/polynomials", - "path": "/math/algebra/polynomials/", - "extended_slug": "math/algebra/polynomials" + "id": "free-radical-reaction-alkanes", + "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/free-radical-reaction-alkanes", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/free-radical-reaction-alkanes/", + "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/free-radical-reaction-alkanes" }, - "blood-vessel-diseases": { - "slug": "blood-vessel-diseases", + "limits_topic": { + "slug": "limits_topic", "hide": false, - "description": "Learn about how arteries differ from veins and how arteries can get damaged over time.", - "title": "Blood Vessel Diseases", + "description": "Limit introduction, squeeze theorem, and epsilon-delta definition of limits", + "title": "Limits", "kind": "Topic", - "id": "blood-vessel-diseases", - "topic_page_url": "/science/healthcare-and-medicine/blood-vessel-diseases", - "path": "/science/healthcare-and-medicine/blood-vessel-diseases/", - "extended_slug": "science/healthcare-and-medicine/blood-vessel-diseases" + "id": "limits_topic", + "topic_page_url": "/math/calculus/limits_topic", + "path": "/math/calculus/limits_topic/", + "extended_slug": "math/calculus/limits_topic" }, - "exponent-properties": { - "slug": "exponent-properties", + "kinematic_formulas": { + "slug": "kinematic_formulas", "hide": false, - "description": "Tired of hairy exponent expressions? Feel compelled to clean them up? Well, this tutorial might just gives you the tools you need.\n\nIf you know a bit about exponents, you'll learn a ton more in this tutorial as you learn about the rules for simplifying exponents.", - "title": "Exponent properties", + "description": "We don't believe in memorizing formulas and neither should you (unless you want to live your life as a shadow of your true potential). This tutorial builds on what we know about displacement, velocity and acceleration to solve problems in kinematics (including projectile motion problems). Along the way, we derive (and re-derive) some of the classic formulas that you might see in your physics book.", + "title": "Kinematic formulas and projectile motion", "kind": "Topic", - "id": "exponent-properties", - "topic_page_url": "/math/arithmetic/basic-exponents/exponent-properties", - "path": "/math/arithmetic/exponents-radicals/exponent-properties/", - "extended_slug": "math/arithmetic/basic-exponents/exponent-properties" + "id": "kinematic_formulas", + "topic_page_url": "/science/physics/one-dimensional-motion/kinematic_formulas", + "path": "/science/physics/one-dimensional-motion/kinematic_formulas/", + "extended_slug": "science/physics/one-dimensional-motion/kinematic_formulas" }, "vectors": { "slug": "vectors", "hide": false, - "description": null, + "description": "We will begin our journey through linear algebra by defining and conceptualizing what a vector is (rather than starting with matrices and matrix operations like in a more basic algebra course) and defining some basic operations (like addition, subtraction and scalar multiplication).", "title": "Vectors", "kind": "Topic", "id": "vectors", - "topic_page_url": "/math/linear-algebra/vectors/e", - "path": "/math/linear-algebra/vectors/", - "extended_slug": "math/linear-algebra/vectors" + "topic_page_url": "/math/linear-algebra/vectors_and_spaces/vectors", + "path": "/math/linear-algebra/vectors_and_spaces/vectors/", + "extended_slug": "math/linear-algebra/vectors_and_spaces/vectors" }, - "geithner-plan": { - "slug": "geithner-plan", + "domain_range": { + "slug": "domain_range", "hide": false, - "description": "Videos on the Geithner Plan to solve the banking crisis.", - "title": "Geithner Plan", + "description": "What values can you and can you not input into a function? What values can the function output? The domain is the set of values that the function is defined for (i.e., the values that you can input into a function). The range is the set of values that the function output can take on.\n\nThis tutorial covers the ideas of domain and range through multiple worked examples. These are really important ideas as you study higher mathematics.", + "title": "Domain and range", "kind": "Topic", - "id": "geithner-plan", - "topic_page_url": "/finance-economics/geithner-plan", - "path": "/finance-economics/geithner-plan/", - "extended_slug": "finance-economics/geithner-plan" + "id": "domain_range", + "topic_page_url": "/math/trigonometry/functions_and_graphs/domain_range", + "path": "/math/trigonometry/functions_and_graphs/domain_range/", + "extended_slug": "math/trigonometry/functions_and_graphs/domain_range" }, - "euro-hist": { - "slug": "euro-hist", + "currency-tutorial": { + "slug": "currency-tutorial", "hide": false, - "description": "", - "title": "European History", + "description": "This tutorial walks through how China's undervaluing of its currency impacts trade and prices (which also fuels cheap borrowing for the U.S.).", + "title": "Foreign exchange and trade", "kind": "Topic", - "id": "euro-hist", - "topic_page_url": "/humanities/history/euro-hist", - "path": "/humanities/history/euro-hist/", - "extended_slug": "humanities/history/euro-hist" + "id": "currency-tutorial", + "topic_page_url": "/science/core-finance/money-and-banking/currency-tutorial", + "path": "/science/core-finance/money-and-banking/currency-tutorial/", + "extended_slug": "science/core-finance/money-and-banking/currency-tutorial" }, - "heart-disease-and-stroke": { - "slug": "heart-disease-and-stroke", + "real-nominal-return-tutorial": { + "slug": "real-nominal-return-tutorial", "hide": false, - "description": "Find out what can cause a heart disease and stroke, and how the two are related!", - "title": "Heart Disease and Stroke", + "description": "We think we're getting a certain return on our investments, but can we put it in terms of real purchasing power since the value of money is constantly changing? The answer is yes and this tutorial shows you how.", + "title": "Real and nominal return", "kind": "Topic", - "id": "heart-disease-and-stroke", - "topic_page_url": "/science/healthcare-and-medicine/heart-disease-and-stroke", - "path": "/science/healthcare-and-medicine/heart-disease-and-stroke/", - "extended_slug": "science/healthcare-and-medicine/heart-disease-and-stroke" + "id": "real-nominal-return-tutorial", + "topic_page_url": "/science/macroeconomics/inflation-topic/real-nominal-return-tutorial", + "path": "/science/macroeconomics/inflation-topic/real-nominal-return-tutorial/", + "extended_slug": "science/macroeconomics/inflation-topic/real-nominal-return-tutorial" }, - "art-history-1500-1600-end-of-the-renaissance-and-the-reformation": { - "slug": "art-history-1500-1600-end-of-the-renaissance-and-the-reformation", + "solid_of_revolution": { + "slug": "solid_of_revolution", "hide": false, - "description": "", - "title": "1500-1600 End of the Renaissance and the Reformation", + "description": "Using definite integration, we know how to find the area under a curve. But what about the volume of the 3-D shape generated by rotating a section of the curve about one of the axes (or any horizontal or vertical line for that matter). \n\nThis tutorial will give you a powerful tool and stretch your powers of 3-D visualization!", + "title": "Solid of revolution volume", "kind": "Topic", - "id": "art-history-1500-1600-end-of-the-renaissance-and-the-reformation", - "topic_page_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation", - "path": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/", - "extended_slug": "humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation" + "id": "solid_of_revolution", + "topic_page_url": "/math/calculus/solid_revolution_topic/solid_of_revolution", + "path": "/math/calculus/solid_revolution_topic/solid_of_revolution/", + "extended_slug": "math/calculus/solid_revolution_topic/solid_of_revolution" }, - "decimals": { - "slug": "decimals", + "monopolies-tutorial": { + "slug": "monopolies-tutorial", "hide": false, - "description": "Understanding decimals conceptually, using operations with decimals, rounding and estimating with decimals, and converting decimals.", - "title": "Decimals", + "description": "No, we aren't talking about the board game although the game does try to approximate what this tutorial is about--notice that you can charge more rent at either Boardwalk or Park Place if you own both (you have a \"monopoly\" in the navy blue market).\n\nThe opposite of perfect competition is when you have only one firm operating. This tutorial explores what this firm would do to maximize economic profit.", + "title": "Monopoly", "kind": "Topic", - "id": "decimals", - "topic_page_url": "/math/arithmetic/decimals", - "path": "/math/arithmetic/decimals/", - "extended_slug": "math/arithmetic/decimals" + "id": "monopolies-tutorial", + "topic_page_url": "/science/microeconomics/perfect-competition-topic/monopolies-tutorial", + "path": "/science/microeconomics/perfect-competition-topic/monopolies-tutorial/", + "extended_slug": "science/microeconomics/perfect-competition-topic/monopolies-tutorial" }, - "old-school-equations": { - "slug": "old-school-equations", + "hyperbolas-conic": { + "slug": "hyperbolas-conic", "hide": false, - "description": "Some of Sal's oldest (and roughest) videos on algebra. Great tutorial if you want to see what Khan Academy was like around 2006. You might also like it if you feel like Sal has lost his magic now that he doesn't use the cheapest possible equipment to make the videos.", - "title": "Old school equations with Sal", + "description": "It is no hyperbole to say that hyperbolas are awesome. In this tutorial, we look closely at this wacky conic section. We pay special attention to its graph and equation.", + "title": "Hyperbolas", "kind": "Topic", - "id": "old-school-equations", - "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/old-school-equations", - "path": "/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/", - "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/old-school-equations" + "id": "hyperbolas-conic", + "topic_page_url": "/math/algebra/conic-sections/hyperbolas-conic", + "path": "/math/algebra/conic-sections/hyperbolas-conic/", + "extended_slug": "math/algebra/conic-sections/hyperbolas-conic" }, - "data-sufficiency": { - "slug": "data-sufficiency", + "newtons-laws-of-motion": { + "slug": "newtons-laws-of-motion", "hide": false, - "description": "Sal works through the 155 data sufficiency questions in chapter 6 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)", - "title": "Data Sufficiency", + "description": "This tutorial will expose you to the foundation of classical mechanics--Newton's laws. On one level they are intuitive, on another lever they are completely counter-intuitive. Challenge your take on reality and watch this tutorial. There world will look very different after you're done.", + "title": "Newton's laws of motion", "kind": "Topic", - "id": "data-sufficiency", - "topic_page_url": "/test-prep/gmat/data-sufficiency", - "path": "/test-prep/gmat/data-sufficiency/", - "extended_slug": "test-prep/gmat/data-sufficiency" + "id": "newtons-laws-of-motion", + "topic_page_url": "/science/physics/forces-newtons-laws/newtons-laws-of-motion", + "path": "/science/physics/forces-newtons-laws/newtons-laws-of-motion/", + "extended_slug": "science/physics/forces-newtons-laws/newtons-laws-of-motion" }, - "singapore-math": { - "slug": "singapore-math", + "cash-accrual-accounting": { + "slug": "cash-accrual-accounting", "hide": false, - "description": "Lectures based on the Singapore Math curriculum. You can follow along through the workbooks available at singaporemath.com", - "title": "Singapore Math", + "description": "Just keeping track of cash that goes in and out of a business doesn't always reflect what's going on. This tutorial compares cash and accrual accounting. Very valuable if you ever plan on starting or investing in any type of business (you might also discover a nascent passion for accounting)!", + "title": "Cash versus accrual accounting", "kind": "Topic", - "id": "singapore-math", - "topic_page_url": "/test-prep/singapore-math", - "path": "/test-prep/singapore-math/", - "extended_slug": "test-prep/singapore-math" + "id": "cash-accrual-accounting", + "topic_page_url": "/science/core-finance/accounting-and-financial-stateme/cash-accrual-accounting", + "path": "/science/core-finance/accounting-and-financial-stateme/cash-accrual-accounting/", + "extended_slug": "science/core-finance/accounting-and-financial-stateme/cash-accrual-accounting" }, - "mit-k12": { - "slug": "mit-k12", + "double_triple_integrals": { + "slug": "double_triple_integrals", "hide": false, - "description": "", - "title": "MIT+K12", + "description": "Volume under a surface with double integrals. Triple integrals as well.", + "title": "Double and triple integrals", "kind": "Topic", - "id": "mit-k12", - "topic_page_url": "/science/mit-k12", - "path": "/science/mit-k12/", - "extended_slug": "science/mit-k12" + "id": "double_triple_integrals", + "topic_page_url": "/math/calculus/double_triple_integrals", + "path": "/math/calculus/double_triple_integrals/", + "extended_slug": "math/calculus/double_triple_integrals" }, - "area--perimeter--and-volume": { - "slug": "area--perimeter--and-volume", + "scale-small-large-tutorial": { + "slug": "scale-small-large-tutorial", "hide": false, - "description": null, - "title": "Area, perimeter, and volume", + "description": "We humans have trouble comprehending something larger than, say, our planet (and even that isn't easy to conceptualize) and smaller than, say, a cell (once again, still not easy to think about). This tutorial explores the scales of the universe well beyond that of normal human comprehension, but does so in a way that makes them at least a little more understandable. \n\nHow does a bacteria compare to an atom? What about a galaxy to a star? Turn on your inertial dampeners. You're in store for quite a ride!", + "title": "Scale of the small and large", "kind": "Topic", - "id": "area--perimeter--and-volume", - "topic_page_url": "/math/geometry/area--perimeter--and-volume/e", - "path": "/math/geometry/area--perimeter--and-volume/", - "extended_slug": "math/geometry/area--perimeter--and-volume" + "id": "scale-small-large-tutorial", + "topic_page_url": "/science/cosmology-and-astronomy/universe-scale-topic/scale-small-large-tutorial", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/scale-small-large-tutorial/", + "extended_slug": "science/cosmology-and-astronomy/universe-scale-topic/scale-small-large-tutorial" }, - "probability": { - "slug": "probability", + "keynesian-cross-tutorial": { + "slug": "keynesian-cross-tutorial", "hide": false, - "description": "Basic probability. Should have a reasonable grounding in basic algebra before watching.", - "title": "Probability", + "description": "We now build on our consumption function models and start to explore ideas of planned expenditures as a function of output. When plotted with the actual output line, we get our Keynesian Cross which helps us think about whether the economy is operating at its potential.", + "title": "Keynesian Cross", "kind": "Topic", - "id": "probability", - "topic_page_url": "/math/probability", - "path": "/math/probability/", - "extended_slug": "math/probability" + "id": "keynesian-cross-tutorial", + "topic_page_url": "/science/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial", + "path": "/science/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial/", + "extended_slug": "science/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial" + }, + "adding_subtracting_negatives": { + "slug": "adding_subtracting_negatives", + "hide": false, + "description": "You understand that negative numbers represent how far we are \"below zero\". Now you are ready to add and subtract them! In this tutorial, we will explain, give examples, and give practice adding and subtracting negative numbers. \n\nThis is a super-important concept for the rest of your mathematical career so, no pressure, learn it as well as you can!", + "title": "Adding and subtracting negative numbers", + "kind": "Topic", + "id": "adding_subtracting_negatives", + "topic_page_url": "/math/arithmetic/absolute-value/adding_subtracting_negatives", + "path": "/math/arithmetic/absolute-value/adding_subtracting_negatives/", + "extended_slug": "math/arithmetic/absolute-value/adding_subtracting_negatives" }, "credit-crisis": { "slug": "credit-crisis", "hide": false, - "description": "Videos on the causes and effects of the credit crisis/crunch.", + "description": "This tutorial talks about how the housing-bubble-induced credit crisis unfolded with a focus on the derivative securities that helped pump the bubble.", "title": "Credit Crisis", "kind": "Topic", "id": "credit-crisis", - "topic_page_url": "/finance-economics/credit-crisis", - "path": "/finance-economics/credit-crisis/", - "extended_slug": "finance-economics/credit-crisis" + "topic_page_url": "/science/core-finance/housing/credit-crisis", + "path": "/science/core-finance/housing/credit-crisis/", + "extended_slug": "science/core-finance/housing/credit-crisis" }, "systems-of-eq-and-ineq": { "slug": "systems-of-eq-and-ineq", @@ -1221,43 +1133,54 @@ "path": "/math/algebra/systems-of-eq-and-ineq/", "extended_slug": "math/algebra/systems-of-eq-and-ineq" }, - "finance-economics": { - "slug": "finance-economics", + "perpendicular_bisectors": { + "slug": "perpendicular_bisectors", "hide": false, - "description": "", - "title": "Finance & Economics", + "description": "In this tutorial, we study lines that are perpendicular to the sides of a triangle and divide them in two (perpendicular bisectors). As we'll prove, they intersect at a unique point called the cicumcenter (which, quite amazingly, is equidistant to the vertices). We can then create a circle (circumcircle) centered at this point that goes through all the vertices. \n\nThis tutorial is the extension of the core narrative of the Geometry \"course\". After this, you might want to look at the tutorial on angle bisectors.", + "title": "Perpendicular bisectors", "kind": "Topic", - "id": "finance-economics", - "topic_page_url": null, - "path": "/finance-economics/", - "extended_slug": "finance-economics" + "id": "perpendicular_bisectors", + "topic_page_url": "/math/geometry/triangle-properties/perpendicular_bisectors", + "path": "/math/geometry/triangle-properties/perpendicular_bisectors/", + "extended_slug": "math/geometry/triangle-properties/perpendicular_bisectors" }, - "comp-number-theory": { - "slug": "comp-number-theory", + "matrix_transpose": { + "slug": "matrix_transpose", "hide": false, - "description": "Explore deeper properties of prime numbers while building algorithms which perform prime factorization & primality tests. A lesson by Brit Cruise", - "title": "Computational Number Theory", + "description": "We now explore what happens when you switch the rows and columns of a matrix!", + "title": "Transpose of a matrix", "kind": "Topic", - "id": "comp-number-theory", - "topic_page_url": "/math/applied-math/comp-number-theory", - "path": "/math/applied-math/comp-number-theory/", - "extended_slug": "math/applied-math/comp-number-theory" + "id": "matrix_transpose", + "topic_page_url": "/math/linear-algebra/matrix_transformations/matrix_transpose", + "path": "/math/linear-algebra/matrix_transformations/matrix_transpose/", + "extended_slug": "math/linear-algebra/matrix_transformations/matrix_transpose" }, - "cervical-spine": { - "slug": "cervical-spine", + "lattice_multiplication": { + "slug": "lattice_multiplication", "hide": false, - "description": "Learn about the cervical (neck) spine through an Xray!", - "title": "Cervical Spine", + "description": "Tired of \"standard multiplication\". In this tutorial we'll explore a different way. Not only is lattice multiplication interesting, it'll help us appreciate that there are many ways to do things. We'll also try to grasp why it works in the first place. Enjoy!", + "title": "Lattice multiplication", "kind": "Topic", - "id": "cervical-spine", - "topic_page_url": "/science/healthcare-and-medicine/cervical-spine", - "path": "/science/healthcare-and-medicine/cervical-spine/", - "extended_slug": "science/healthcare-and-medicine/cervical-spine" + "id": "lattice_multiplication", + "topic_page_url": "/math/arithmetic/multiplication-division/lattice_multiplication", + "path": "/math/arithmetic/multiplication-division/lattice_multiplication/", + "extended_slug": "math/arithmetic/multiplication-division/lattice_multiplication" + }, + "nucleophilicity-basicity-sal": { + "slug": "nucleophilicity-basicity-sal", + "hide": false, + "description": "In this tutorial, Sal discusses the difference between nucleophilicity and basicity.", + "title": "Nucleophilicity and basicity", + "kind": "Topic", + "id": "nucleophilicity-basicity-sal", + "topic_page_url": "/science/organic-chemistry/substitution-elimination-reactions/nucleophilicity-basicity-sal", + "path": "/science/organic-chemistry/substitution-elimination-reactions/nucleophilicity-basicity-sal/", + "extended_slug": "science/organic-chemistry/substitution-elimination-reactions/nucleophilicity-basicity-sal" }, "linear-algebra": { "slug": "linear-algebra", "hide": false, - "description": "Matrices, vectors, vector spaces, transformations. Covers all topics in a first year college linear algebra course. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.", + "description": "Matrices, vectors, vector spaces, transformations, eigenvectors/values. Covers all topics in a first year college linear algebra course. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.", "title": "Linear Algebra", "kind": "Topic", "id": "linear-algebra", @@ -1276,137 +1199,104 @@ "path": "/science/healthcare-and-medicine/healthy-lifestyle/", "extended_slug": "science/healthcare-and-medicine/healthy-lifestyle" }, - "us-history": { - "slug": "us-history", - "hide": false, - "description": "", - "title": "United States History", - "kind": "Topic", - "id": "us-history", - "topic_page_url": "/humanities/history/us-history", - "path": "/humanities/history/us-history/", - "extended_slug": "humanities/history/us-history" - }, - "macroeconomics": { - "slug": "macroeconomics", - "hide": false, - "description": "Topics covered in a traditional college level introductory macroeconomics course", - "title": "Macroeconomics", - "kind": "Topic", - "id": "macroeconomics", - "topic_page_url": "/finance-economics/macroeconomics", - "path": "/finance-economics/macroeconomics/", - "extended_slug": "finance-economics/macroeconomics" - }, - "factors-multiples": { - "slug": "factors-multiples", - "hide": false, - "description": "Understanding and finding factors and multiples. After these videos, you'll be ready for fractions.", - "title": "Factors and multiples", - "kind": "Topic", - "id": "factors-multiples", - "topic_page_url": "/math/arithmetic/factors-multiples", - "path": "/math/arithmetic/factors-multiples/", - "extended_slug": "math/arithmetic/factors-multiples" - }, - "statistics": { - "slug": "statistics", + "systems_eq_ineq": { + "slug": "systems_eq_ineq", "hide": false, - "description": "Introduction to statistics. We start with the basics of reading and interpretting data and then build into descriptive and inferential statistics that are typically covered in an introductory course on the subject.", - "title": "Statistics", + "description": "What happens when we have many variables but also many constraints.", + "title": "Systems of equations and inequalities", "kind": "Topic", - "id": "statistics", - "topic_page_url": "/math/statistics", - "path": "/math/statistics/", - "extended_slug": "math/statistics" + "id": "systems_eq_ineq", + "topic_page_url": "/math/trigonometry/systems_eq_ineq", + "path": "/math/trigonometry/systems_eq_ineq/", + "extended_slug": "math/trigonometry/systems_eq_ineq" }, - "transformations": { - "slug": "transformations", + "delightful_division": { + "slug": "delightful_division", "hide": false, - "description": null, - "title": "Transformations", + "description": "Every time you split your avocado harvest with your 10 pet robot possums, you've been dividing. You don't farm avocados? You only have 8 robot possums? No worries. I'm sure you've divided as well.\n\nMultiplication is awesome, but you're ready for the next step. Division is the art of trying to split things into equal groups. Like subtraction undoes addition, division also undoes multiplication. After this tutorial, you'll have a basic understanding of all of the core operations in arithmetic!", + "title": "Delightful division", "kind": "Topic", - "id": "transformations", - "topic_page_url": "/math/geometry/transformations/e", - "path": "/math/geometry/transformations/", - "extended_slug": "math/geometry/transformations" + "id": "delightful_division", + "topic_page_url": "/math/arithmetic/multiplication-division/delightful_division", + "path": "/math/arithmetic/multiplication-division/delightful_division/", + "extended_slug": "math/arithmetic/multiplication-division/delightful_division" }, - "thermodynamics": { - "slug": "thermodynamics", + "gains-from-trade-tutorial": { + "slug": "gains-from-trade-tutorial", "hide": false, - "description": "", - "title": "Thermodynamics", + "description": "Should you try to produce everything yourself or only what you are best at and trade for everything else? What if you're better than your trading partners at everything? \n\nThis tutorial focuses on comparative advantage, specialization and gains from trade with a microeconomic lens.", + "title": "Comparative advantage and gains from trade", "kind": "Topic", - "id": "thermodynamics", - "topic_page_url": "/science/physics/thermodynamics", - "path": "/science/physics/thermodynamics/", - "extended_slug": "science/physics/thermodynamics" + "id": "gains-from-trade-tutorial", + "topic_page_url": "/science/microeconomics/choices-opp-cost-tutorial/gains-from-trade-tutorial", + "path": "/science/microeconomics/choices-opp-cost-tutorial/gains-from-trade-tutorial/", + "extended_slug": "science/microeconomics/choices-opp-cost-tutorial/gains-from-trade-tutorial" }, - "heredity-and-genetics": { - "slug": "heredity-and-genetics", + "lubricon-vi": { + "slug": "lubricon-vi", "hide": false, - "description": "", - "title": "Heredity and genetics", + "description": "This short tutorial will have you dealing with orbiting frozen socks in order to understand whether you understand Newton's Laws. We also quiz you a bit during the videos just to make sure that you aren't daydreaming about what you would do with a frozen sock.", + "title": "Slow sock on Lubricon VI", "kind": "Topic", - "id": "heredity-and-genetics", - "topic_page_url": "/science/biology/heredity-and-genetics", - "path": "/science/biology/heredity-and-genetics/", - "extended_slug": "science/biology/heredity-and-genetics" + "id": "lubricon-vi", + "topic_page_url": "/science/physics/forces-newtons-laws/lubricon-vi", + "path": "/science/physics/forces-newtons-laws/lubricon-vi/", + "extended_slug": "science/physics/forces-newtons-laws/lubricon-vi" }, - "art-history": { - "slug": "art-history", + "rational_funcs_tutorial": { + "slug": "rational_funcs_tutorial", "hide": false, - "description": "Spontaneous conversations about works of art where the speakers are not afraid to disagree with each other or art history orthodoxy. Videos are made by Dr. Beth Harris and Dr. Steven Zucker along with other contributors and maintained at smarthistory.khanacademy.org.", - "title": "Art History", + "description": "Have you ever wondered what would happen if you divide one polynomial by another? What if you set that equal to something else? Would it be as unbelievably epic as you suspect it would be?", + "title": "Rational functions", "kind": "Topic", - "id": "art-history", - "topic_page_url": "/humanities/art-history", - "path": "/humanities/art-history/", - "extended_slug": "humanities/art-history" + "id": "rational_funcs_tutorial", + "topic_page_url": "/math/trigonometry/polynomial_and_rational/rational_funcs_tutorial", + "path": "/math/trigonometry/polynomial_and_rational/rational_funcs_tutorial/", + "extended_slug": "math/trigonometry/polynomial_and_rational/rational_funcs_tutorial" }, - "basic-equation-practice": { - "slug": "basic-equation-practice", + "midpoint_and_distance": { + "slug": "midpoint_and_distance", "hide": false, - "description": "A no frills march through the basics of solving equations. A great tutorial if you want to see a bunch of examples and then get some practice. Really recommend you pause the videos and try to solve the examples before Sal does.", - "title": "Solving equations examples and practice", + "description": "This tutorial covers some of the basics of analytic geometry: the distance between two points and the coordinate of the midpoint of two points.", + "title": "Midpoint and distance", "kind": "Topic", - "id": "basic-equation-practice", - "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/", - "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice" + "id": "midpoint_and_distance", + "topic_page_url": "/math/trigonometry/graphs/midpoint_and_distance", + "path": "/math/trigonometry/graphs/midpoint_and_distance/", + "extended_slug": "math/trigonometry/graphs/midpoint_and_distance" }, - "pressure-volume-loops": { - "slug": "pressure-volume-loops", + "margin-of-error": { + "slug": "margin-of-error", "hide": false, - "description": "Watch as the pressure and amount of blood inside the left ventricle go up and down within fractions of a second!", - "title": "Pressure Volume Loops", + "description": "Ever wondered what pollsters are talking about when they said that there is a 3% \"margin of error\" in their results. Well, this tutorial will not only explain what it means, but give you the tools and understanding to be a pollster yourself!", + "title": "Bernoulli distributions and margin of error", "kind": "Topic", - "id": "pressure-volume-loops", - "topic_page_url": "/science/healthcare-and-medicine/pressure-volume-loops", - "path": "/science/healthcare-and-medicine/pressure-volume-loops/", - "extended_slug": "science/healthcare-and-medicine/pressure-volume-loops" + "id": "margin-of-error", + "topic_page_url": "/math/probability/statistics/margin-of-error", + "path": "/math/probability/statistics-inferential/margin-of-error/", + "extended_slug": "math/probability/statistics/margin-of-error" }, - "chemical-reactions-stoichiometry": { - "slug": "chemical-reactions-stoichiometry", + "stocks-intro-tutorial": { + "slug": "stocks-intro-tutorial", "hide": false, - "description": "", - "title": "Chemical reactions (stoichiometry)", + "description": "Many people own stocks, but, unfortunately, most of them don't really understand what they own. This tutorial will keep you from being one of those people (not keep you from owning stock, but keep you from being ignorant about your investments).", + "title": "Introduction to stocks", "kind": "Topic", - "id": "chemical-reactions-stoichiometry", - "topic_page_url": "/science/chemistry/chemical-reactions-stoichiometry", - "path": "/science/chemistry/chemical-reactions-stoichiometry/", - "extended_slug": "science/chemistry/chemical-reactions-stoichiometry" + "id": "stocks-intro-tutorial", + "topic_page_url": "/science/core-finance/stock-and-bonds/stocks-intro-tutorial", + "path": "/science/core-finance/stock-and-bonds/stocks-intro-tutorial/", + "extended_slug": "science/core-finance/stock-and-bonds/stocks-intro-tutorial" }, - "basic-ratios-proportions": { - "slug": "basic-ratios-proportions", + "oscillatory-motion": { + "slug": "oscillatory-motion", "hide": false, - "description": "Solving and writing ratios and proportions without algebra.", - "title": "Ratios and proportions (basic)", + "description": "Pendulums. Slinkies. You when you have to use the bathroom but it is occupied. These all go back and forth over and over and over again. This tutorial explores this type of motion.", + "title": "Oscillatory motion", "kind": "Topic", - "id": "basic-ratios-proportions", - "topic_page_url": "/math/arithmetic/basic-ratios-proportions", - "path": "/math/arithmetic/basic-ratios-proportions/", - "extended_slug": "math/arithmetic/basic-ratios-proportions" + "id": "oscillatory-motion", + "topic_page_url": "/science/physics/oscillatory-motion", + "path": "/science/physics/oscillatory-motion/", + "extended_slug": "science/physics/oscillatory-motion" }, "states-of-matter": { "slug": "states-of-matter", @@ -1419,27 +1309,27 @@ "path": "/science/chemistry/states-of-matter/", "extended_slug": "science/chemistry/states-of-matter" }, - "introduction-to-algebra": { - "slug": "introduction-to-algebra", + "stellar-life-topic": { + "slug": "stellar-life-topic", "hide": false, - "description": "Videos exploring why algebra was developed and how it helps us explain our world.", - "title": "Introduction to algebra", + "description": "Our universe is defined by stars. This topic explores how they came to be and where they end up. This includes a discussion of black holes and galaxies.", + "title": "Stars, black holes and galaxies", "kind": "Topic", - "id": "introduction-to-algebra", - "topic_page_url": "/math/algebra/introduction-to-algebra", - "path": "/math/algebra/introduction-to-algebra/", - "extended_slug": "math/algebra/introduction-to-algebra" + "id": "stellar-life-topic", + "topic_page_url": "/science/cosmology-and-astronomy/stellar-life-topic", + "path": "/science/cosmology-and-astronomy/stellar-life-topic/", + "extended_slug": "science/cosmology-and-astronomy/stellar-life-topic" }, - "geometry-worked-examples": { - "slug": "geometry-worked-examples", + "geometry-2": { + "slug": "geometry-2", "hide": false, - "description": "Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Basic understanding of Algebra I necessary.", - "title": "Worked Examples", + "description": "Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Basic understanding of algebra is necessary. Go to the geometry topic for a comprehensive treatment of the subject. ", + "title": "Geometry", "kind": "Topic", - "id": "geometry-worked-examples", - "topic_page_url": "/math/geometry/geometry-worked-examples", - "path": "/math/geometry/geometry-worked-examples/", - "extended_slug": "math/geometry/geometry-worked-examples" + "id": "geometry-2", + "topic_page_url": "/test-prep/california-standards-test/geometry-2", + "path": "/test-prep/california-standards-test/geometry-2/", + "extended_slug": "test-prep/california-standards-test/geometry-2" }, "fractions": { "slug": "fractions", @@ -1452,16 +1342,27 @@ "path": "/math/arithmetic/fractions/", "extended_slug": "math/arithmetic/fractions" }, - "negative-numbers": { - "slug": "negative-numbers", + "home-equity-tutorial": { + "slug": "home-equity-tutorial", "hide": false, - "description": "Understanding and using negative numbers.", - "title": "Negative numbers", + "description": "This old and badly drawn tutorial covers a topic essential to anyone planning to not live in the woods -- your personal balance sheet. Since homes are usually the biggest part of these personal balance sheets, we cover that too.", + "title": "Home equity and personal balance sheets", "kind": "Topic", - "id": "negative-numbers", - "topic_page_url": "/math/arithmetic/negative-numbers", - "path": "/math/arithmetic/negative-numbers/", - "extended_slug": "math/arithmetic/negative-numbers" + "id": "home-equity-tutorial", + "topic_page_url": "/science/core-finance/housing/home-equity-tutorial", + "path": "/science/core-finance/housing/home-equity-tutorial/", + "extended_slug": "science/core-finance/housing/home-equity-tutorial" + }, + "taxes-topic": { + "slug": "taxes-topic", + "hide": false, + "description": "", + "title": "Taxes", + "kind": "Topic", + "id": "taxes-topic", + "topic_page_url": "/science/core-finance/taxes-topic", + "path": "/science/core-finance/taxes-topic/", + "extended_slug": "science/core-finance/taxes-topic" }, "vi-hart": { "slug": "vi-hart", @@ -1474,126 +1375,104 @@ "path": "/math/vi-hart/", "extended_slug": "math/vi-hart" }, - "art-history-1960---age-of-post-colonialism": { - "slug": "art-history-1960---age-of-post-colonialism", - "hide": false, - "description": "", - "title": "1960- Age of Post-Colonialism", - "kind": "Topic", - "id": "art-history-1960---age-of-post-colonialism", - "topic_page_url": "/humanities/art-history/art-history-1960---age-of-post-colonialism", - "path": "/humanities/art-history/art-history-1960---age-of-post-colonialism/", - "extended_slug": "humanities/art-history/art-history-1960---age-of-post-colonialism" - }, "parallel-and-perpendicular-lines": { "slug": "parallel-and-perpendicular-lines", "hide": false, - "description": null, - "title": "Parallel and perpendicular lines", + "description": "This topic continues our journey through the world of Euclid by helping us understand angles and how they can relate to each other.", + "title": "Angles and intersecting lines", "kind": "Topic", "id": "parallel-and-perpendicular-lines", - "topic_page_url": "/math/geometry/parallel-and-perpendicular-lines/e", + "topic_page_url": "/math/geometry/parallel-and-perpendicular-lines", "path": "/math/geometry/parallel-and-perpendicular-lines/", "extended_slug": "math/geometry/parallel-and-perpendicular-lines" }, - "ideal-gas-laws": { - "slug": "ideal-gas-laws", - "hide": false, - "description": "", - "title": "Ideal gas laws", - "kind": "Topic", - "id": "ideal-gas-laws", - "topic_page_url": "/science/chemistry/ideal-gas-laws", - "path": "/science/chemistry/ideal-gas-laws/", - "extended_slug": "science/chemistry/ideal-gas-laws" - }, - "integral-calculus": { - "slug": "integral-calculus", + "medians_centroids": { + "slug": "medians_centroids", "hide": false, - "description": "", - "title": "Integral calculus", + "description": "You've explored perpendicular bisectors and angle bisectors, but you're craving to study lines that intersect the vertices of a a triangle AND bisect the opposite sides. Well, you're luck because that (medians) is what we are going to study in this tutorial. We'll prove here that the medians intersect at a unique point (amazing!) called the centroid and divide the triangle into six mini triangles of equal area (even more amazing!). The centroid also always happens to divide all the medians in segments with lengths at a 1:2 ration (stupendous!).", + "title": "Medians and centroids", "kind": "Topic", - "id": "integral-calculus", - "topic_page_url": "/math/calculus/integral-calculus", - "path": "/math/calculus/integral-calculus/", - "extended_slug": "math/calculus/integral-calculus" + "id": "medians_centroids", + "topic_page_url": "/math/geometry/triangle-properties/medians_centroids", + "path": "/math/geometry/triangle-properties/medians_centroids/", + "extended_slug": "math/geometry/triangle-properties/medians_centroids" }, - "solving-linear-equations-and-inequalities": { - "slug": "solving-linear-equations-and-inequalities", + "work-and-energy": { + "slug": "work-and-energy", "hide": false, - "description": "", - "title": "Equation basics", + "description": "Work and energy. Potential energy. Kinetic energy. Mechanical advantage. Springs and Hooke's law.", + "title": "Work and energy", "kind": "Topic", - "id": "solving-linear-equations-and-inequalities", - "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities", - "path": "/math/algebra/solving-linear-equations-and-inequalities/", - "extended_slug": "math/algebra/solving-linear-equations-and-inequalities" + "id": "work-and-energy", + "topic_page_url": "/science/physics/work-and-energy", + "path": "/science/physics/work-and-energy/", + "extended_slug": "science/physics/work-and-energy" }, - "blood-pressure-control": { - "slug": "blood-pressure-control", + "first-order-differential-equations": { + "slug": "first-order-differential-equations", "hide": false, - "description": "Find out how the body works to maintain a normal blood pressure by sensing when its too high or too low and responding accordingly.", - "title": "Blood Pressure Control", + "description": "Differential equations with only first derivatives.", + "title": "First order differential equations", "kind": "Topic", - "id": "blood-pressure-control", - "topic_page_url": "/science/healthcare-and-medicine/blood-pressure-control", - "path": "/science/healthcare-and-medicine/blood-pressure-control/", - "extended_slug": "science/healthcare-and-medicine/blood-pressure-control" + "id": "first-order-differential-equations", + "topic_page_url": "/math/differential-equations/first-order-differential-equations", + "path": "/math/differential-equations/first-order-differential-equations/", + "extended_slug": "math/differential-equations/first-order-differential-equations" }, - "radioactive-decay": { - "slug": "radioactive-decay", + "normal_distribution": { + "slug": "normal_distribution", "hide": false, - "description": "", - "title": "Radioactive decay", + "description": "The normal distribution (often referred to as the \"bell curve\" is at the core of most of inferential statistics. By assuming that most complex processes result in a normal distribution (we'll see why this is reasonable), we can gauge the probability of it happening by chance.\n\nTo best enjoy this tutorial, it is good to come to it understanding what probability distributions and random variables are. You should also be very familiar with the notions of population and sample mean and standard deviation.", + "title": "Normal distribution", "kind": "Topic", - "id": "radioactive-decay", - "topic_page_url": "/science/chemistry/radioactive-decay", - "path": "/science/chemistry/radioactive-decay/", - "extended_slug": "science/chemistry/radioactive-decay" + "id": "normal_distribution", + "topic_page_url": "/math/probability/statistics/normal_distribution", + "path": "/math/probability/statistics-inferential/normal_distribution/", + "extended_slug": "math/probability/statistics/normal_distribution" }, - "angles": { - "slug": "angles", + "electronegativity-polarity": { + "slug": "electronegativity-polarity", "hide": false, - "description": "Identifying, measuring, and calculating angles.", - "title": "Angles", + "description": "What is the most important concept to understand in undergraduate organic chemistry? Of course, it's electronegativity! In this tutorial, Jay explains the concept of electronegativity and shows how it applies to polarity, intermolecular forces, and physical properties.", + "title": "Electronegativity and polarity", "kind": "Topic", - "id": "angles", - "topic_page_url": "/math/geometry/angles", - "path": "/math/geometry/angles/", - "extended_slug": "math/geometry/angles" + "id": "electronegativity-polarity", + "topic_page_url": "/science/organic-chemistry/gen-chem-review/electronegativity-polarity", + "path": "/science/organic-chemistry/gen-chem-review/electronegativity-polarity/", + "extended_slug": "science/organic-chemistry/gen-chem-review/electronegativity-polarity" }, - "ancient-medieval": { - "slug": "ancient-medieval", + "i_precalc": { + "slug": "i_precalc", "hide": false, - "description": "", - "title": "Ancient and Medieval History", + "description": "This is where math starts to get really cool. It may see strange to define a number whose square is negative one. Why do we do this? Because it fits a nice niche in the math ecosystem and can be used to solve problems in engineering and science (not to mention some of the coolest fractals are based on imaginary and complex numbers). The more you think about it, you might realize that all numbers, not just i, are very abstract.", + "title": "The imaginary unit i", "kind": "Topic", - "id": "ancient-medieval", - "topic_page_url": "/humanities/history/ancient-medieval", - "path": "/humanities/history/ancient-medieval/", - "extended_slug": "humanities/history/ancient-medieval" + "id": "i_precalc", + "topic_page_url": "/math/trigonometry/imaginary_complex_precalc/i_precalc", + "path": "/math/trigonometry/imaginary_complex_precalc/i_precalc/", + "extended_slug": "math/trigonometry/imaginary_complex_precalc/i_precalc" }, - "current-economics": { - "slug": "current-economics", + "unit_circle_tut": { + "slug": "unit_circle_tut", "hide": false, - "description": "Discussions of economic topics and how they relate to current events.", - "title": "Current Economics", + "description": "You're beginning to outgrow SOH CAH TOA. It breaks down for angles greater than or equal to 90. It breaks down for negative angles. Sometimes in life, breaking a bad relationship early is good for both parties. \n\nLucky for you, you don't have to stay lonely for long. We're about to introduce you to a much more robust way to define trigonometric functions. Don't want to get too hopeful, but this might be a keeper.", + "title": "Unit circle definition of trigonometric functions", "kind": "Topic", - "id": "current-economics", - "topic_page_url": "/finance-economics/current-economics", - "path": "/finance-economics/current-economics/", - "extended_slug": "finance-economics/current-economics" + "id": "unit_circle_tut", + "topic_page_url": "/math/trigonometry/basic-trigonometry/unit_circle_tut", + "path": "/math/trigonometry/basic-trigonometry/unit_circle_tut/", + "extended_slug": "math/trigonometry/basic-trigonometry/unit_circle_tut" }, - "scientific-notation": { - "slug": "scientific-notation", + "imaginary_complex_precalc": { + "slug": "imaginary_complex_precalc", "hide": false, - "description": "Scientists and engineers often have to deal with super huge (like 6,000,000,000,000,000,000,000) and super small numbers (like 0.0000000000532) . How can they do this without tiring their hands out? How can they look at a number and understand how large or small it is without counting the digits? The answer is to use scientific notation.\n\nIf you come to this tutorial with a basic understanding of positive and negative exponents, it should leave you with a new appreciation for representing really huge and really small numbers!", - "title": "Scientific notation", + "description": "Understanding i and the complex plane", + "title": "Imaginary and complex numbers", "kind": "Topic", - "id": "scientific-notation", - "topic_page_url": "/math/arithmetic/basic-exponents/scientific-notation", - "path": "/math/arithmetic/exponents-radicals/scientific-notation/", - "extended_slug": "math/arithmetic/basic-exponents/scientific-notation" + "id": "imaginary_complex_precalc", + "topic_page_url": "/math/trigonometry/imaginary_complex_precalc", + "path": "/math/trigonometry/imaginary_complex_precalc/", + "extended_slug": "math/trigonometry/imaginary_complex_precalc" }, "manipulating-expressions": { "slug": "manipulating-expressions", @@ -1606,104 +1485,82 @@ "path": "/math/algebra/solving-linear-equations-and-inequalities/manipulating-expressions/", "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/manipulating-expressions" }, - "american-civics": { - "slug": "american-civics", - "hide": false, - "description": "Videos about how government works in the United States.", - "title": "American Civics", - "kind": "Topic", - "id": "american-civics", - "topic_page_url": "/humanities/american-civics", - "path": "/humanities/american-civics/", - "extended_slug": "humanities/american-civics" - }, - "system-of-inequalities": { - "slug": "system-of-inequalities", + "epsilon_delta": { + "slug": "epsilon_delta", "hide": false, - "description": "You feel comfortable with systems of equations, but you begin to realize that the world is not always fair. Not everything is equal! In this short tutorial, we will explore systems of inequalities. We'll graph them. We'll think about whether a point satisfies them. We'll even give you as much practice as you need. All for 3 easy installments of ... just kidding, its free (although the knowledge obtained in priceless). A good deal if we say so ourselves!", - "title": "Systems of inequalities", + "description": "This tutorial introduces a \"formal\" definition of limits. So put on your ball gown and/or tuxedo to party with Mr. Epsilon Delta (no, this is not referring to a fraternity).\n\nThis tends to be covered early in a traditional calculus class (right after basic limits), but we have mixed feelings about that. It is cool and rigorous, but also very \"mathy\" (as most rigorous things are). Don't fret if you have trouble with it the first time. If you have a basic conceptual understanding of what limits are (from the \"Limits\" tutorial), you're ready to start thinking about taking derivatives.", + "title": "Epsilon delta definition of limits", "kind": "Topic", - "id": "system-of-inequalities", - "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/system-of-inequalities", - "path": "/math/algebra/systems-of-eq-and-ineq/system-of-inequalities/", - "extended_slug": "math/algebra/systems-of-eq-and-ineq/system-of-inequalities" + "id": "epsilon_delta", + "topic_page_url": "/math/calculus/limits_topic/epsilon_delta", + "path": "/math/calculus/limits_topic/epsilon_delta/", + "extended_slug": "math/calculus/limits_topic/epsilon_delta" }, - "art-history-1600-1700-the-baroque": { - "slug": "art-history-1600-1700-the-baroque", + "function_inverses": { + "slug": "function_inverses", "hide": false, - "description": "", - "title": "1600-1700 The Baroque", + "description": "Functions associate a set of inputs with a set of outputs (in fancy language, they \"map\" one set to another). But can we go the other way around? Are there functions that can start with the outputs as inputs and produce the original inputs as outputs? Yes, there are! They are called function inverses!\n\nThis tutorial works through a bunch of examples to get you familiar with the world of function inverses.", + "title": "Function inverses", "kind": "Topic", - "id": "art-history-1600-1700-the-baroque", - "topic_page_url": "/humanities/art-history/art-history-1600-1700-the-baroque", - "path": "/humanities/art-history/art-history-1600-1700-the-baroque/", - "extended_slug": "humanities/art-history/art-history-1600-1700-the-baroque" + "id": "function_inverses", + "topic_page_url": "/math/algebra/algebra-functions/function_inverses", + "path": "/math/algebra/algebra-functions/function_inverses/", + "extended_slug": "math/algebra/algebra-functions/function_inverses" }, "science": { "slug": "science", "hide": false, "description": null, - "title": "Science", + "title": "Science & Economics", "kind": "Topic", "id": "science", "topic_page_url": null, "path": "/science/", "extended_slug": "science" }, - "geometry": { - "slug": "geometry", - "hide": false, - "description": "Videos on geometry. After Basic Geometry list, videos assume you know introductory algebra concepts. After these videos, you'll be ready for Trigonometry.", - "title": "Geometry", - "kind": "Topic", - "id": "geometry", - "topic_page_url": "/math/geometry", - "path": "/math/geometry/", - "extended_slug": "math/geometry" - }, - "algebra-functions": { - "slug": "algebra-functions", + "complex_number_challenge": { + "slug": "complex_number_challenge", "hide": false, - "description": "Identifying, solving, and graphing various types of functions.", - "title": "Functions", + "description": "This tutorial goes through a fancy problem from the IIT JEE exam in India (competitive exam for getting into their top engineering schools). Whether or not you live in India, this is a good example to test whether you are a complex number rock star.", + "title": "Challenging complex number problems", "kind": "Topic", - "id": "algebra-functions", - "topic_page_url": "/math/algebra/algebra-functions", - "path": "/math/algebra/algebra-functions/", - "extended_slug": "math/algebra/algebra-functions" + "id": "complex_number_challenge", + "topic_page_url": "/math/trigonometry/imaginary_complex_precalc/complex_number_challenge", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_number_challenge/", + "extended_slug": "math/trigonometry/imaginary_complex_precalc/complex_number_challenge" }, - "photosynthesis": { - "slug": "photosynthesis", + "sub_borrowing": { + "slug": "sub_borrowing", "hide": false, - "description": "", - "title": "Photosynthesis", + "description": "You can subtract 21 from 45, but are a bit perplexed trying to subtract 26 from 45 (how do you subtract the 6 in 26 from the 5 in 45). This tutorial is your answer. You'll see that we can essentially \"regroup\" the value in a number from one place to another to solve your problem. This is also often called borrowing (although it is like \"borrowing\" sugar from your neighbor in that you never give it back).", + "title": "Subtraction with borrowing (regrouping)", "kind": "Topic", - "id": "photosynthesis", - "topic_page_url": "/science/biology/photosynthesis", - "path": "/science/biology/photosynthesis/", - "extended_slug": "science/biology/photosynthesis" + "id": "sub_borrowing", + "topic_page_url": "/math/arithmetic/addition-subtraction/sub_borrowing", + "path": "/math/arithmetic/addition-subtraction/sub_borrowing/", + "extended_slug": "math/arithmetic/addition-subtraction/sub_borrowing" }, - "trigonometry": { - "slug": "trigonometry", + "present-value": { + "slug": "present-value", "hide": false, - "description": "Videos and exercises on trigonometry. Watch the \"Geometry\" playlist first if you have trouble understanding the topics covered here.", - "title": "Trigonometry", + "description": "If you gladly pay for a hamburger on Tuesday for a hamburger today, is it equivalent to paying for it today?\n\nA reasonable argument can be made that most everything in finance really boils down to \"present value\". So pay attention to this tutorial.", + "title": "Present value", "kind": "Topic", - "id": "trigonometry", - "topic_page_url": "/math/trigonometry", - "path": "/math/trigonometry/", - "extended_slug": "math/trigonometry" + "id": "present-value", + "topic_page_url": "/science/core-finance/interest-tutorial/present-value", + "path": "/science/core-finance/interest-tutorial/present-value/", + "extended_slug": "science/core-finance/interest-tutorial/present-value" }, - "order-of-operations": { - "slug": "order-of-operations", + "properties-of-laplace-transform": { + "slug": "properties-of-laplace-transform", "hide": false, - "description": "Defining the order in which operations are done in expressions.", - "title": "Order of operations", + "description": "You know how to use the definition of the Laplace transform. In this tutorial, we'll explore some of the properties of the transform that will start start to make it clear why they are so useful for differential equations.\n\nThis tutorial is paired well with the tutorial on using the \"Laplace transform to solve differential equations\". In fact you might come back to this tutorial over and over as you solve more and more problems.", + "title": "Properties of the Laplace transform", "kind": "Topic", - "id": "order-of-operations", - "topic_page_url": "/math/arithmetic/order-of-operations", - "path": "/math/arithmetic/order-of-operations/", - "extended_slug": "math/arithmetic/order-of-operations" + "id": "properties-of-laplace-transform", + "topic_page_url": "/math/differential-equations/laplace-transform/properties-of-laplace-transform", + "path": "/math/differential-equations/laplace-transform/properties-of-laplace-transform/", + "extended_slug": "math/differential-equations/laplace-transform/properties-of-laplace-transform" }, "history": { "slug": "history", @@ -1716,54 +1573,43 @@ "path": "/humanities/history/", "extended_slug": "humanities/history" }, - "mechanics": { - "slug": "mechanics", + "linear-homogeneous-2nd-order": { + "slug": "linear-homogeneous-2nd-order", "hide": false, - "description": "", - "title": "Mechanics", + "description": "To make your life interesting, we'll now use the word \"homogeneous\" in a way that is not connected to the way we used the term when talking about first-order equations. As you'll see, second order linear homogeneous equations can be solved with a little bit of algebra (and a lot of love).", + "title": "Linear homogeneous equations", "kind": "Topic", - "id": "mechanics", - "topic_page_url": "/science/physics/mechanics", - "path": "/science/physics/mechanics/", - "extended_slug": "science/physics/mechanics" + "id": "linear-homogeneous-2nd-order", + "topic_page_url": "/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order", + "path": "/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order/", + "extended_slug": "math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order" }, - "equation-of-a-line": { - "slug": "equation-of-a-line", + "age_word_problems_tut": { + "slug": "age_word_problems_tut", "hide": false, - "description": "You know a bit about slope and intercepts, but want to know more about all the ways you can represent the equation of a line. This tutorial will satisfy that curiosity!", - "title": "Equation of a line", + "description": "In 72 years, Sal will be 3 times as old as he is today (although he might not be... um... capable of doing much). How old is Sal today?\n\nThese classic questions have plagued philosophers through the ages. Actually, they haven't. But they have plagued algebra students! Even though few people ask questions like this in the real-world, these are strangely enjoyable problems.", + "title": "Age word problems", "kind": "Topic", - "id": "equation-of-a-line", - "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line", - "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/", - "extended_slug": "math/algebra/linear-equations-and-inequalitie/equation-of-a-line" + "id": "age_word_problems_tut", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut", + "path": "/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut" }, - "art-history-1700-1800-age-of-enlightenment": { - "slug": "art-history-1700-1800-age-of-enlightenment", - "hide": false, - "description": "", - "title": "1700-1800 Age of Enlightenment", - "kind": "Topic", - "id": "art-history-1700-1800-age-of-enlightenment", - "topic_page_url": "/humanities/art-history/art-history-1700-1800-age-of-enlightenment", - "path": "/humanities/art-history/art-history-1700-1800-age-of-enlightenment/", - "extended_slug": "humanities/art-history/art-history-1700-1800-age-of-enlightenment" - }, - "art-history-1800-1848-industrial-revolution-i": { - "slug": "art-history-1800-1848-industrial-revolution-i", + "nomenclature-aldehyde-ketone": { + "slug": "nomenclature-aldehyde-ketone", "hide": false, - "description": "", - "title": "1800-1848 Industrial Revolution I", + "description": "In this tutorial, Sal names aldehydes and ketones.", + "title": "Nomenclature of aldehydes and ketones", "kind": "Topic", - "id": "art-history-1800-1848-industrial-revolution-i", - "topic_page_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i", - "path": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/", - "extended_slug": "humanities/art-history/art-history-1800-1848-industrial-revolution-i" + "id": "nomenclature-aldehyde-ketone", + "topic_page_url": "/science/organic-chemistry/aldehydes-ketones/nomenclature-aldehyde-ketone", + "path": "/science/organic-chemistry/aldehydes-ketones/nomenclature-aldehyde-ketone/", + "extended_slug": "science/organic-chemistry/aldehydes-ketones/nomenclature-aldehyde-ketone" }, "organic-chemistry": { "slug": "organic-chemistry", "hide": false, - "description": "Topics covered in college organic chemistry course. Basic understanding of basic high school or college chemistry assumed", + "description": "Sal and Jay cover topics covered in college organic chemistry course. Basic understanding of basic high school or college chemistry assumed (although there is some review).", "title": "Organic Chemistry", "kind": "Topic", "id": "organic-chemistry", @@ -1771,6 +1617,17 @@ "path": "/science/organic-chemistry/", "extended_slug": "science/organic-chemistry" }, + "substitution-elimination-reactions": { + "slug": "substitution-elimination-reactions", + "hide": false, + "description": "SN1, SN2, E1, E2, nucleophiles, nucleophilicity, basicity", + "title": "Substitution and elimination reactions", + "kind": "Topic", + "id": "substitution-elimination-reactions", + "topic_page_url": "/science/organic-chemistry/substitution-elimination-reactions", + "path": "/science/organic-chemistry/substitution-elimination-reactions/", + "extended_slug": "science/organic-chemistry/substitution-elimination-reactions" + }, "human-biology": { "slug": "human-biology", "hide": false, @@ -1782,6 +1639,6067 @@ "path": "/science/biology/human-biology/", "extended_slug": "science/biology/human-biology" }, + "unemployment-tutorial": { + "slug": "unemployment-tutorial", + "hide": false, + "description": "Unemployment is a key metric for judging the health of an economy (and even political stability). This tutorial is a primer on what it is and how it's measured (which you might find surprising).", + "title": "Unemployment", + "kind": "Topic", + "id": "unemployment-tutorial", + "topic_page_url": "/science/core-finance/current-economics/unemployment-tutorial", + "path": "/science/core-finance/current-economics/unemployment-tutorial/", + "extended_slug": "science/core-finance/current-economics/unemployment-tutorial" + }, + "regression-correlation": { + "slug": "regression-correlation", + "hide": false, + "description": "Even when there might be a rough linear relationship between two variables, the data in the real-world is never as clean as you want it to be. This tutorial helps you think about how you can best fit a line to the relationship between two variables.", + "title": "Linear regression and correlation", + "kind": "Topic", + "id": "regression-correlation", + "topic_page_url": "/math/probability/regression/regression-correlation", + "path": "/math/probability/regression/regression-correlation/", + "extended_slug": "math/probability/regression/regression-correlation" + }, + "exponent-equations": { + "slug": "exponent-equations", + "hide": false, + "description": "Solving exponential and radical expressions and equations. Using scientific notation and significant figures.", + "title": "Exponent expressions and equations", + "kind": "Topic", + "id": "exponent-equations", + "topic_page_url": "/math/algebra/exponent-equations", + "path": "/math/algebra/exponent-equations/", + "extended_slug": "math/algebra/exponent-equations" + }, + "chirality-r-s-system": { + "slug": "chirality-r-s-system", + "hide": false, + "description": "Are you right handed or sinister-handed? Have you ever thought that you might not be as attractive as you look in the mirror? Welcome to the world of chirality.\n\nIn this tutorial, Sal will explore molecules that have the same composition and bonding, but are fundamentally different because they are mirror images of each other (kind of like Tomax and Xamot--the Crimson Guard Commanders from GI Joe).", + "title": "Chirality and the R,S system", + "kind": "Topic", + "id": "chirality-r-s-system", + "topic_page_url": "/science/organic-chemistry/stereochemistry-topic/chirality-r-s-system", + "path": "/science/organic-chemistry/stereochemistry-topic/chirality-r-s-system/", + "extended_slug": "science/organic-chemistry/stereochemistry-topic/chirality-r-s-system" + }, + "solving_for_variable": { + "slug": "solving_for_variable", + "hide": false, + "description": "You feel comfortable solving for an unknown. But life is all about stepping outside of your comfort zone--it's the only way you can grow! This tutorial takes solving equations to another level by making things a little more abstract. You will now solve for a variable, but it will be in terms of other variables. Don't worry, we think you'll find it quite therapeutic once you get the hang of it.", + "title": "Solving for a variable", + "kind": "Topic", + "id": "solving_for_variable", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable", + "path": "/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/solving_for_variable" + }, + "altitudes": { + "slug": "altitudes", + "hide": false, + "description": "Ok. You knew triangles where cool, but you never imagined they were this cool! Well, this tutorial will take things even further. After perpendicular bisectors, angle bisector and medians, the only other thing (that I can think of) is a line that intersects a vertex and the opposite side (called an altitude). As we'll see, these are just as cool as the rest and, as you may have guessed, intersect at a unique point called the orthocenter (unbelievable!).", + "title": "Altitudes", + "kind": "Topic", + "id": "altitudes", + "topic_page_url": "/math/geometry/triangle-properties/altitudes", + "path": "/math/geometry/triangle-properties/altitudes/", + "extended_slug": "math/geometry/triangle-properties/altitudes" + }, + "mean_value_theorem": { + "slug": "mean_value_theorem", + "hide": false, + "description": "If over the last hour on the highway, you averaged 60 miles per hour, then you must have been going exactly 60 miles per hour at some point. This is the gist of the mean value theorem (which generalizes the idea for any continuous, differentiable function).", + "title": "Mean value theorem", + "kind": "Topic", + "id": "mean_value_theorem", + "topic_page_url": "/math/calculus/derivative_applications/mean_value_theorem", + "path": "/math/calculus/derivative_applications/mean_value_theorem/", + "extended_slug": "math/calculus/derivative_applications/mean_value_theorem" + }, + "dilution-tutorial": { + "slug": "dilution-tutorial", + "hide": false, + "description": "When companies issue new shares, many people consider this a share \"dilution\"--implying that the value of each share has been \"watered down\" a bit. This tutorial walks through the mechanics and why--assuming management isn't doing something stupid--the shares might not be diluted at all.", + "title": "Dilution", + "kind": "Topic", + "id": "dilution-tutorial", + "topic_page_url": "/science/core-finance/stock-and-bonds/dilution-tutorial", + "path": "/science/core-finance/stock-and-bonds/dilution-tutorial/", + "extended_slug": "science/core-finance/stock-and-bonds/dilution-tutorial" + }, + "two_dig_add_sub": { + "slug": "two_dig_add_sub", + "hide": false, + "description": "In this tutorial, we'll start adding and subtracting numbers that have two (yes, two!) digits. We won't be doing any carrying or borrowing (you'll learn what those are shortly) so you can see that adding or subtracting two digit numbers is really just an extension of what you already know.", + "title": "Two digit addition and subtraction", + "kind": "Topic", + "id": "two_dig_add_sub", + "topic_page_url": "/math/arithmetic/addition-subtraction/two_dig_add_sub", + "path": "/math/arithmetic/addition-subtraction/two_dig_add_sub/", + "extended_slug": "math/arithmetic/addition-subtraction/two_dig_add_sub" + }, + "othogonal_complements": { + "slug": "othogonal_complements", + "hide": false, + "description": "We will know explore the set of vectors that is orthogonal to every vector in a second set (this is the second set's orthogonal complement).", + "title": "Orthogonal complements", + "kind": "Topic", + "id": "othogonal_complements", + "topic_page_url": "/math/linear-algebra/alternate_bases/othogonal_complements", + "path": "/math/linear-algebra/alternate_bases/othogonal_complements/", + "extended_slug": "math/linear-algebra/alternate_bases/othogonal_complements" + }, + "phillips-curve-tutorial": { + "slug": "phillips-curve-tutorial", + "hide": false, + "description": "Economists have notices a correlation between unemployment and correlation (you may wan to guess what type of correlation). On some level, this tutorial is common sense, but it will give you fancy labels for this relation so that you can sound fancy at fancy parties.", + "title": "The Phillips Curve - Inflation and unemployment", + "kind": "Topic", + "id": "phillips-curve-tutorial", + "topic_page_url": "/science/macroeconomics/inflation-topic/phillips-curve-tutorial", + "path": "/science/macroeconomics/inflation-topic/phillips-curve-tutorial/", + "extended_slug": "science/macroeconomics/inflation-topic/phillips-curve-tutorial" + }, + "money-and-banking": { + "slug": "money-and-banking", + "hide": false, + "description": "", + "title": "Money, banking and central banks", + "kind": "Topic", + "id": "money-and-banking", + "topic_page_url": "/science/core-finance/money-and-banking", + "path": "/science/core-finance/money-and-banking/", + "extended_slug": "science/core-finance/money-and-banking" + }, + "colon-disease": { + "slug": "colon-disease", + "hide": false, + "description": "Get a ring-side seat as a pathologist talks about colon cells under the microscope.", + "title": "Colon Disease", + "kind": "Topic", + "id": "colon-disease", + "topic_page_url": "/science/healthcare-and-medicine/colon-disease", + "path": "/science/healthcare-and-medicine/colon-disease/", + "extended_slug": "science/healthcare-and-medicine/colon-disease" + }, + "oil-prices-tutorial": { + "slug": "oil-prices-tutorial", + "hide": false, + "description": "This tutorial tries to address a very important question in the real world--what drives oil prices? And we will do it using the tools of the supply and demand curves.", + "title": "What drives oil prices", + "kind": "Topic", + "id": "oil-prices-tutorial", + "topic_page_url": "/science/microeconomics/supply-demand-equilibrium/oil-prices-tutorial", + "path": "/science/microeconomics/supply-demand-equilibrium/oil-prices-tutorial/", + "extended_slug": "science/microeconomics/supply-demand-equilibrium/oil-prices-tutorial" + }, + "leveraged-buy-outs": { + "slug": "leveraged-buy-outs", + "hide": false, + "description": "Private equity firms often borrow money (use leverage) to buy companies. This tutorial explains how they do it and pay the debt.", + "title": "Leveraged buy-outs", + "kind": "Topic", + "id": "leveraged-buy-outs", + "topic_page_url": "/science/core-finance/stock-and-bonds/leveraged-buy-outs", + "path": "/science/core-finance/stock-and-bonds/leveraged-buy-outs/", + "extended_slug": "science/core-finance/stock-and-bonds/leveraged-buy-outs" + }, + "formation-carboxylic-acid-derivatives-sal": { + "slug": "formation-carboxylic-acid-derivatives-sal", + "hide": false, + "description": "In this tutorial, Sal shows the formation of carboxylic acid derivatives including esters, acyl chlorides, and amides.", + "title": "Formation of carboxylic acid derivatives", + "kind": "Topic", + "id": "formation-carboxylic-acid-derivatives-sal", + "topic_page_url": "/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal", + "path": "/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal/", + "extended_slug": "science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal" + }, + "china-us-debt-situation": { + "slug": "china-us-debt-situation", + "hide": false, + "description": "This tutorial contains short videos that explain how China and the United States are intertwined through currency and debt. This is key for understanding the current global macro picture.", + "title": "Chinese currency and U.S. debt", + "kind": "Topic", + "id": "china-us-debt-situation", + "topic_page_url": "/science/core-finance/money-and-banking/china-us-debt-situation", + "path": "/science/core-finance/money-and-banking/china-us-debt-situation/", + "extended_slug": "science/core-finance/money-and-banking/china-us-debt-situation" + }, + "tree-of-life": { + "slug": "tree-of-life", + "hide": false, + "description": "", + "title": "Tree of life", + "kind": "Topic", + "id": "tree-of-life", + "topic_page_url": "/science/biology/tree-of-life", + "path": "/science/biology/tree-of-life/", + "extended_slug": "science/biology/tree-of-life" + }, + "lebron-asks": { + "slug": "lebron-asks", + "hide": false, + "description": "LeBron James asks questions about math and science, and we answer!", + "title": "LeBron Asks", + "kind": "Topic", + "id": "lebron-asks", + "topic_page_url": "/science/lebron-asks", + "path": "/science/lebron-asks/", + "extended_slug": "science/lebron-asks" + }, + "algebra": { + "slug": "algebra", + "hide": false, + "description": "Conceptual videos and worked examples from basic algebra through algebra 2. Includes videos from the former algebra worked examples playlists. ", + "title": "Algebra", + "kind": "Topic", + "id": "algebra", + "topic_page_url": "/math/algebra", + "path": "/math/algebra/", + "extended_slug": "math/algebra" + }, + "mort-backed-secs-tut": { + "slug": "mort-backed-secs-tut", + "hide": false, + "description": "What started out as a creative way to spread risk ended up fueling a monster housing bubble. This tutorial explains what mortgage-backed securities are and how they work.", + "title": "Mortgage-backed securities", + "kind": "Topic", + "id": "mort-backed-secs-tut", + "topic_page_url": "/science/core-finance/derivative-securities/mort-backed-secs-tut", + "path": "/science/core-finance/derivative-securities/mort-backed-secs-tut/", + "extended_slug": "science/core-finance/derivative-securities/mort-backed-secs-tut" + }, + "laplace-transform-to-solve-differential-equation": { + "slug": "laplace-transform-to-solve-differential-equation", + "hide": false, + "description": "You know a good bit about taking Laplace transform and useful properties of the transform. You are dying to actually apply these skills to an actual differential equation. Wait no longer!", + "title": "Laplace transform to solve a differential equation", + "kind": "Topic", + "id": "laplace-transform-to-solve-differential-equation", + "topic_page_url": "/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation", + "path": "/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation/", + "extended_slug": "math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation" + }, + "adding_decimals": { + "slug": "adding_decimals", + "hide": false, + "description": "You get the general idea of decimal is and what the digits in different places represent (place value). Now you're ready to do something with the decimals. Adding and subtracting is a good place to start. This will allow you to add your families expenses to figure out if your little brother is laundering money (perhaps literally). Have fun!", + "title": "Adding and subtracting decimals", + "kind": "Topic", + "id": "adding_decimals", + "topic_page_url": "/math/arithmetic/decimals/adding_decimals", + "path": "/math/arithmetic/decimals/adding_decimals/", + "extended_slug": "math/arithmetic/decimals/adding_decimals" + }, + "basic_probability": { + "slug": "basic_probability", + "hide": false, + "description": "Can I pick a red frog out of a bag that only contains marbles? Is it smart to buy a lottery ticket?\n\nEven if we are unsure about whether something will happen, can we start to be mathematical about the \"chances\" of an event (essentially realizing that some things are more likely than others). This tutorial will introduce us to the tools that allow us to think about random events.", + "title": "Basic probability", + "kind": "Topic", + "id": "basic_probability", + "topic_page_url": "/math/probability/independent-dependent-probability/basic_probability", + "path": "/math/probability/independent-dependent-probability/basic_probability/", + "extended_slug": "math/probability/independent-dependent-probability/basic_probability" + }, + "blood": { + "slug": "blood", + "hide": false, + "description": "Find out what's inside of blood", + "title": "Blood", + "kind": "Topic", + "id": "blood", + "topic_page_url": "/science/healthcare-and-medicine/blood", + "path": "/science/healthcare-and-medicine/blood/", + "extended_slug": "science/healthcare-and-medicine/blood" + }, + "hedge-funds": { + "slug": "hedge-funds", + "hide": false, + "description": "Hedge funds have absolutely nothing to do with shrubbery. Their name comes from the fact that early hedge funds (and some current ones) tried to \"hedge\" their exposure to the market (so they could, in theory, do well in an \"up\" or \"down\" market as long as they were good at picking the good companies). Today, hedge funds represent a huge class investment funds. \n\nThey are far less regulated than, say, mutual funds. In exchange for this, they aren't allowed to market or take investments from \"unsophisticated\" investors. Some use their flexibility to mitigate risk, other use it to amplify it.", + "title": "Hedge funds", + "kind": "Topic", + "id": "hedge-funds", + "topic_page_url": "/science/core-finance/investment-vehicles-tutorial/hedge-funds", + "path": "/science/core-finance/investment-vehicles-tutorial/hedge-funds/", + "extended_slug": "science/core-finance/investment-vehicles-tutorial/hedge-funds" + }, + "endocrinology-and-diabetes": { + "slug": "endocrinology-and-diabetes", + "hide": false, + "description": "Learn about hormones and diabetes, as well as some important information on glucose control.", + "title": "Endocrinology and Diabetes", + "kind": "Topic", + "id": "endocrinology-and-diabetes", + "topic_page_url": "/science/healthcare-and-medicine/endocrinology-and-diabetes", + "path": "/science/healthcare-and-medicine/endocrinology-and-diabetes/", + "extended_slug": "science/healthcare-and-medicine/endocrinology-and-diabetes" + }, + "plate-techtonics": { + "slug": "plate-techtonics", + "hide": false, + "description": "Is it a coincidence that Africa and South America could fit like puzzle pieces? Why do earthquakes happen where they do? What about volcanoes and mountains? Are all of these ideas linked? Yes they are.\n\nThis tutorial on plate-techtonics explains how and why the continents have shifted over time. In the process, we also explore the structure of the Earth, all the way down to the core.", + "title": "Plate techtonics", + "kind": "Topic", + "id": "plate-techtonics", + "topic_page_url": "/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics", + "path": "/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/", + "extended_slug": "science/cosmology-and-astronomy/earth-history-topic/plate-techtonics" + }, + "cong_triangle": { + "slug": "cong_triangle", + "hide": false, + "description": "We begin to seriously channel Euclid in this tutorial to really, really (no, really) prove things--in particular, that triangles are congruents. You'll appreciate (and love) what rigorous proofs are. It will sharpen your mind and make you a better friend, relative and citizen (and make you more popular in general). Don't have too much fun.", + "title": "Congruence postulates", + "kind": "Topic", + "id": "cong_triangle", + "topic_page_url": "/math/geometry/congruent-triangles/cong_triangle", + "path": "/math/geometry/congruent-triangles/cong_triangle/", + "extended_slug": "math/geometry/congruent-triangles/cong_triangle" + }, + "binomial_distribution": { + "slug": "binomial_distribution", + "hide": false, + "description": "", + "title": "Binomial distribution", + "kind": "Topic", + "id": "binomial_distribution", + "topic_page_url": "/math/probability/random-variables-topic/binomial_distribution", + "path": "/math/probability/random-variables-topic/binomial_distribution/", + "extended_slug": "math/probability/random-variables-topic/binomial_distribution" + }, + "complicated_equations": { + "slug": "complicated_equations", + "hide": false, + "description": "You feel good about your rapidly developing equation-solving ability. Now you're ready to fully flex your brain. \n\nIn this tutorial, we'll explore equations that don't look so simple at first, but that, with a bit of skill, we can turn into equations that don't cause any stress! Have fun!", + "title": "Simplifying complicated equations", + "kind": "Topic", + "id": "complicated_equations", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/complicated_equations", + "path": "/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/complicated_equations" + }, + "conformations": { + "slug": "conformations", + "hide": false, + "description": "In this tutorial, Sal draws Newman projections and also explains chair and boat conformations for cyclohexane.", + "title": "Conformations", + "kind": "Topic", + "id": "conformations", + "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations/", + "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations" + }, + "stokes_theorem": { + "slug": "stokes_theorem", + "hide": false, + "description": "Stokes' theorem relates the line integral around a surface to the curl on the surface. This tutorial explores the intuition behind Stokes' theorem, how it is an extension of Green's theorem to surfaces (as opposed to just regions) and gives some examples using it. We prove Stokes' theorem in another tutorial. Good to come to this tutorial having experienced the tutorial on \"flux in 3D\".", + "title": "Stokes' theorem intuition and application", + "kind": "Topic", + "id": "stokes_theorem", + "topic_page_url": "/math/calculus/multivariable-calculus/stokes_theorem", + "path": "/math/calculus/multivariable-calculus/stokes_theorem/", + "extended_slug": "math/calculus/multivariable-calculus/stokes_theorem" + }, + "triangle_similarlity": { + "slug": "triangle_similarlity", + "hide": false, + "description": "This tutorial explains a similar (but not congruent) idea to congruency (if that last sentence made sense, you might not need this tutorial). Seriously, we'll take a rigorous look at similarity and think of some reasonable postulates for it. We'll then use these to prove some results and solve some problems. The fun must not stop!", + "title": "Triangle similarity", + "kind": "Topic", + "id": "triangle_similarlity", + "topic_page_url": "/math/geometry/similarity/triangle_similarlity", + "path": "/math/geometry/similarity/triangle_similarlity/", + "extended_slug": "math/geometry/similarity/triangle_similarlity" + }, + "domain_and_range": { + "slug": "domain_and_range", + "hide": false, + "description": "What values can you and can you not input into a function? What values can the function output? The domain is the set of values that the function is defined for (i.e., the values that you can input into a function). The range is the set of values that the function output can take on.\n\nThis tutorial covers the ideas of domain and range through multiple worked examples. These are really important ideas as you study higher mathematics.", + "title": "Domain and range", + "kind": "Topic", + "id": "domain_and_range", + "topic_page_url": "/math/algebra/algebra-functions/domain_and_range", + "path": "/math/algebra/algebra-functions/domain_and_range/", + "extended_slug": "math/algebra/algebra-functions/domain_and_range" + }, + "complex-numbers": { + "slug": "complex-numbers", + "hide": false, + "description": "Understanding and solving equations with imaginary numbers.", + "title": "Imaginary and complex numbers", + "kind": "Topic", + "id": "complex-numbers", + "topic_page_url": "/math/algebra/complex-numbers", + "path": "/math/algebra/complex-numbers/", + "extended_slug": "math/algebra/complex-numbers" + }, + "limits_precalc": { + "slug": "limits_precalc", + "hide": false, + "description": "Limits are the core tool that we build upon for calculus. Many times, a function can be undefined at a point, but we can thinking about what the function \"approaches\" as it gets closer and closer to that point (this is the \"limit\"). Other times, the function may be defined at a point, but it may approach a different limit. There are many, many times where the function value is the same as the limit at a point. Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve.\n\nIf you have a decent background in algebra (graphing and functions in particular), you'll hopefully enjoy this tutorial!", + "title": "Limit basics", + "kind": "Topic", + "id": "limits_precalc", + "topic_page_url": "/math/trigonometry/limit_topic_precalc/limits_precalc", + "path": "/math/trigonometry/limit_topic_precalc/limits_precalc/", + "extended_slug": "math/trigonometry/limit_topic_precalc/limits_precalc" + }, + "partial_derivatives_topic": { + "slug": "partial_derivatives_topic", + "hide": false, + "description": "Thinking about forms of derivatives in multi-dimensions and for vector-valued functions: partial derivatives, gradient, divergence and curl.", + "title": "Partial derivatives, gradient, divergence, curl", + "kind": "Topic", + "id": "partial_derivatives_topic", + "topic_page_url": "/math/calculus/partial_derivatives_topic", + "path": "/math/calculus/partial_derivatives_topic/", + "extended_slug": "math/calculus/partial_derivatives_topic" + }, + "cost-of-living-tutorial": { + "slug": "cost-of-living-tutorial", + "hide": false, + "description": "We might generally sense that our cost of living is going up (inflation), but how can we measure it? This tutorial shows how it is done in the United States with the consumer price index (CPI).", + "title": "Measuring cost of living --inflation and the consumer price index", + "kind": "Topic", + "id": "cost-of-living-tutorial", + "topic_page_url": "/science/macroeconomics/inflation-topic/cost-of-living-tutorial", + "path": "/science/macroeconomics/inflation-topic/cost-of-living-tutorial/", + "extended_slug": "science/macroeconomics/inflation-topic/cost-of-living-tutorial" + }, + "forward-futures-contracts": { + "slug": "forward-futures-contracts", + "hide": false, + "description": "In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two.", + "title": "Forward and futures contracts", + "kind": "Topic", + "id": "forward-futures-contracts", + "topic_page_url": "/science/core-finance/derivative-securities/forward-futures-contracts", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/", + "extended_slug": "science/core-finance/derivative-securities/forward-futures-contracts" + }, + "paulson-bailout": { + "slug": "paulson-bailout", + "hide": false, + "description": "In the fall of 2008, it became clear that a cascade of bank failures was happening because of shoddy loans and exotic securities (both which fueled a now popping housing bubble). In an attempt to avoid a depression, the Treasury Secretary (Hank Paulson) wanted to pour $1 Trillion into the same banks that had created the mess.\n\nThis tutorial walks us through the beginnings of the mess and possible solutions. Historical note: it was created as the crisis was unfolding.", + "title": "Paulson Bailout", + "kind": "Topic", + "id": "paulson-bailout", + "topic_page_url": "/science/core-finance/housing/paulson-bailout", + "path": "/science/core-finance/housing/paulson-bailout/", + "extended_slug": "science/core-finance/housing/paulson-bailout" + }, + "valuation-and-investing": { + "slug": "valuation-and-investing", + "hide": false, + "description": "Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks.\n\nFrom P/E rations to EV/EBITDA, we've got your back!", + "title": "Corporate metrics and valuation", + "kind": "Topic", + "id": "valuation-and-investing", + "topic_page_url": "/science/core-finance/stock-and-bonds/valuation-and-investing", + "path": "/science/core-finance/stock-and-bonds/valuation-and-investing/", + "extended_slug": "science/core-finance/stock-and-bonds/valuation-and-investing" + }, + "napoleon-bonaparte": { + "slug": "napoleon-bonaparte", + "hide": false, + "description": "A man with such a huge \"Napoleonic complex\", that they named it after him. A military genius with a ginormous ego, some people consider him a hero or a tyrant or both.\n\nFrance has successfully overthrown Louis XVI in 1789. It has gone through a many-year period of bloodshed and instability. The monarch's of Europe are not happy about this \"overthrow-your-king\" business. A 5'6'' Corsican establishes himself as a strong military tactician during the wars with other European powers and soon comes to power in France.\n\nThis tutorial covers the rise and fall of one of the most famous men in all of history: Napoleon Bonaparte (Napoleon I).", + "title": "Napoleon Bonaparte", + "kind": "Topic", + "id": "napoleon-bonaparte", + "topic_page_url": "/humanities/history/euro-hist/napoleon-bonaparte", + "path": "/humanities/history/euro-hist/napoleon-bonaparte/", + "extended_slug": "humanities/history/euro-hist/napoleon-bonaparte" + }, + "conformations-alkanes-cycloalkanes": { + "slug": "conformations-alkanes-cycloalkanes", + "hide": false, + "description": "In this tutorial, Jay shows the different conformations of straight chain alkanes and cyclohexane.", + "title": "Conformations of alkanes and cycloalkanes", + "kind": "Topic", + "id": "conformations-alkanes-cycloalkanes", + "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations-alkanes-cycloalkanes", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations-alkanes-cycloalkanes/", + "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations-alkanes-cycloalkanes" + }, + "california-standards-test": { + "slug": "california-standards-test", + "hide": false, + "description": "Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.", + "title": "California Standards Test", + "kind": "Topic", + "id": "california-standards-test", + "topic_page_url": "/test-prep/california-standards-test", + "path": "/test-prep/california-standards-test/", + "extended_slug": "test-prep/california-standards-test" + }, + "federal-reserve": { + "slug": "federal-reserve", + "hide": false, + "description": "You know that the Federal Reserve (or central banks in general) controls the money supply and short-term interest rates. But how exactly do they do this. Even more, how is \"quantitative easing\" different than regular open market operations.\n\nThis tutorial explains it all in the context of the Federal Reserves attempts to stave off deflation during the 2008-2012 recession.", + "title": "Quantative easing", + "kind": "Topic", + "id": "federal-reserve", + "topic_page_url": "/science/core-finance/money-and-banking/federal-reserve", + "path": "/science/core-finance/money-and-banking/federal-reserve/", + "extended_slug": "science/core-finance/money-and-banking/federal-reserve" + }, + "divergence_theorem_proof": { + "slug": "divergence_theorem_proof", + "hide": false, + "description": "You know what the divergence theorem is, you can apply it and you conceptually understand it. This tutorial will actually prove it to you (references types of regions which are covered in the \"types of regions in 3d\" tutorial.", + "title": "Divergence theorem proof", + "kind": "Topic", + "id": "divergence_theorem_proof", + "topic_page_url": "/math/calculus/divergence_theorem_topic/divergence_theorem_proof", + "path": "/math/calculus/divergence_theorem_topic/divergence_theorem_proof/", + "extended_slug": "math/calculus/divergence_theorem_topic/divergence_theorem_proof" + }, + "why-of-algebra": { + "slug": "why-of-algebra", + "hide": false, + "description": "Algebra seems mysterious to me. I really don't \"get\" what an equation represents. Why do we do the same thing to both sides?\n\nThis tutorial is a conceptual journey through the basics of algebra. It is made for someone just beginning their algebra adventure. But even folks who feel pretty good that they know how to manipulate equations might pick up a new intuition or two.", + "title": "The why of algebra", + "kind": "Topic", + "id": "why-of-algebra", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra", + "path": "/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/why-of-algebra" + }, + "completing_the_square": { + "slug": "completing_the_square", + "hide": false, + "description": "You're already familiar with factoring quadratics, but have begun to realize that it only is useful in certain cases. Well, this tutorial will introduce you to something far more powerful and general. Even better, it is the bridge to understanding and proving the famous quadratic formula.\n\nWelcome to the world of completing the square!", + "title": "Completing the square", + "kind": "Topic", + "id": "completing_the_square", + "topic_page_url": "/math/algebra/quadratics/completing_the_square", + "path": "/math/algebra/quadratics/completing_the_square/", + "extended_slug": "math/algebra/quadratics/completing_the_square" + }, + "mit-k12": { + "slug": "mit-k12", + "hide": false, + "description": "Khan Academy is collaborating with MIT to develop videos on science and engineering projects. Through the MIT+K12 initiative, MIT students have created videos on hands-on projects, simulations and historic experiments. Enjoy!", + "title": "MIT+K12", + "kind": "Topic", + "id": "mit-k12", + "topic_page_url": "/science/mit-k12", + "path": "/science/mit-k12/", + "extended_slug": "science/mit-k12" + }, + "introduction-to-the-atom": { + "slug": "introduction-to-the-atom", + "hide": false, + "description": "", + "title": "Introduction to the Atom", + "kind": "Topic", + "id": "introduction-to-the-atom", + "topic_page_url": "/science/chemistry/introduction-to-the-atom", + "path": "/science/chemistry/introduction-to-the-atom/", + "extended_slug": "science/chemistry/introduction-to-the-atom" + }, + "chirality-absolute-configuration": { + "slug": "chirality-absolute-configuration", + "hide": false, + "description": "Mirror, mirror on the wall . . . who is the fairest stereoisomer of all? In this tutorial, Jay explains chirality and how to determine the absolute configuration at a chirality center.", + "title": "Chirality and absolute configuration", + "kind": "Topic", + "id": "chirality-absolute-configuration", + "topic_page_url": "/science/organic-chemistry/stereochemistry-topic/chirality-absolute-configuration", + "path": "/science/organic-chemistry/stereochemistry-topic/chirality-absolute-configuration/", + "extended_slug": "science/organic-chemistry/stereochemistry-topic/chirality-absolute-configuration" + }, + "rates_of_change": { + "slug": "rates_of_change", + "hide": false, + "description": "Solving rate-of-change problems using calculus", + "title": "Rates of change", + "kind": "Topic", + "id": "rates_of_change", + "topic_page_url": "/math/calculus/derivative_applications/rates_of_change", + "path": "/math/calculus/derivative_applications/rates_of_change/", + "extended_slug": "math/calculus/derivative_applications/rates_of_change" + }, + "inclined-planes-friction": { + "slug": "inclined-planes-friction", + "hide": false, + "description": "We've all slid down slides/snow-or-mud-covered-hills/railings at some point in our life (if not, you haven't really lived) and noticed that the smoother the surface the more we would accelerate (try to slide down a non-snow-or-mud-covered hill). This tutorial looks into this in some depth. We'll look at masses on inclined planes and think about static and kinetic friction.", + "title": "Inclined planes and friction", + "kind": "Topic", + "id": "inclined-planes-friction", + "topic_page_url": "/science/physics/forces-newtons-laws/inclined-planes-friction", + "path": "/science/physics/forces-newtons-laws/inclined-planes-friction/", + "extended_slug": "science/physics/forces-newtons-laws/inclined-planes-friction" + }, + "exponential_and_logarithmic_func": { + "slug": "exponential_and_logarithmic_func", + "hide": false, + "description": "An look at exponential and logarithmic functions including many of their properties and graphs.", + "title": "Exponential and logarithmic functions", + "kind": "Topic", + "id": "exponential_and_logarithmic_func", + "topic_page_url": "/math/trigonometry/exponential_and_logarithmic_func", + "path": "/math/trigonometry/exponential_and_logarithmic_func/", + "extended_slug": "math/trigonometry/exponential_and_logarithmic_func" + }, + "statistics-inferential": { + "slug": "statistics-inferential", + "hide": false, + "description": "Making inferences based on sample data. Confidence intervals. Margin of error. Hypothesis testing.", + "title": "Inferential statistics", + "kind": "Topic", + "id": "statistics-inferential", + "topic_page_url": "/math/probability/statistics-inferential", + "path": "/math/probability/statistics-inferential/", + "extended_slug": "math/probability/statistics-inferential" + }, + "chain_rule": { + "slug": "chain_rule", + "hide": false, + "description": "You can take the derivatives of f(x) and g(x), but what about f(g(x)) or g(f(x))? The chain rule gives us this ability. Because most complex and hairy functions can be thought of the composition of several simpler ones (ones that you can find derivatives of), you'll be able to take the derivative of almost any function after this tutorial. Just imagine.", + "title": "Chain rule", + "kind": "Topic", + "id": "chain_rule", + "topic_page_url": "/math/calculus/differential-calculus/chain_rule", + "path": "/math/calculus/differential-calculus/chain_rule/", + "extended_slug": "math/calculus/differential-calculus/chain_rule" + }, + "humanity-on-earth-tutorial": { + "slug": "humanity-on-earth-tutorial", + "hide": false, + "description": "Where do we think humans come from? How and why have we developed as a species. This tutorial attempts to give an overview of these truly fundamental questions.\n\nFrom human evolution (which is covered in more depth in the biology playlist) to the development of agriculture, this tutorial will give you an appreciation of where we've been (and maybe where we're going).", + "title": "Humanity on Earth", + "kind": "Topic", + "id": "humanity-on-earth-tutorial", + "topic_page_url": "/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial", + "path": "/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/", + "extended_slug": "science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial" + }, + "undefined_indeterminate": { + "slug": "undefined_indeterminate", + "hide": false, + "description": "In second grade you may have raised your hand in class and asked what you get when you divide by zero. The answer was probably \"it's not defined.\" In this tutorial we'll explore what that (and \"indeterminate\") means and why the math world has left this gap in arithmetic. (They could define something divided by 0 as 7 or 9 or 119.57 but have decided not to.)", + "title": "Undefined and indeterminate answers", + "kind": "Topic", + "id": "undefined_indeterminate", + "topic_page_url": "/math/algebra/algebra-functions/undefined_indeterminate", + "path": "/math/trigonometry/functions_and_graphs/undefined_indeterminate/", + "extended_slug": "math/algebra/algebra-functions/undefined_indeterminate" + }, + "rational-expressions": { + "slug": "rational-expressions", + "hide": false, + "description": "You have probably been wondering whether our powers of algebraic problem solving break down if we divide by the variable or we have entire expressions in denominator of a fraction. Well, they don't! In this topic, you'll learn how to interpret and manipulate algebraic ratios and rational expressions (when you have one algebraic expression divided by another)!", + "title": "Ratios and rational expressions", + "kind": "Topic", + "id": "rational-expressions", + "topic_page_url": "/math/algebra/rational-expressions", + "path": "/math/algebra/rational-expressions/", + "extended_slug": "math/algebra/rational-expressions" + }, + "analyzing_functions": { + "slug": "analyzing_functions", + "hide": false, + "description": "You know a function when you see one, but are curious to start looking deeper at their properties. Some functions seem to be mirror images around the y-axis while others seems to be flipped mirror images while others are neither. How can we shift and reflect them? \n\nThis tutorial addresses these questions by covering even and odd functions. It also covers how we can shift and reflect them. Enjoy!", + "title": "Analyzing functions", + "kind": "Topic", + "id": "analyzing_functions", + "topic_page_url": "/math/algebra/algebra-functions/analyzing_functions", + "path": "/math/trigonometry/functions_and_graphs/analyzing_functions/", + "extended_slug": "math/algebra/algebra-functions/analyzing_functions" + }, + "basic_addition": { + "slug": "basic_addition", + "hide": false, + "description": "Adding and subtracting is the basis of all mathematics. This tutorial introduces you to one-digit addition and subtraction. You might become pretty familiar with the number line too!", + "title": "Intro to addition and subtraction", + "kind": "Topic", + "id": "basic_addition", + "topic_page_url": "/math/arithmetic/addition-subtraction/basic_addition", + "path": "/math/arithmetic/addition-subtraction/basic_addition/", + "extended_slug": "math/arithmetic/addition-subtraction/basic_addition" + }, + "complex_numbers": { + "slug": "complex_numbers", + "hide": false, + "description": "Let's start constructing numbers that have both a real and imaginary part. We'll call them complex. We can even plot them on the complex plane and use them to find the roots of ANY quadratic equation. The fun must not stop!", + "title": "Complex numbers", + "kind": "Topic", + "id": "complex_numbers", + "topic_page_url": "/math/algebra/complex-numbers/complex_numbers", + "path": "/math/algebra/complex-numbers/complex_numbers/", + "extended_slug": "math/algebra/complex-numbers/complex_numbers" + }, + "nomenclature-properties-ethers": { + "slug": "nomenclature-properties-ethers", + "hide": false, + "description": "In this tutorial, Sal and Jay name ethers and discuss the physical properties of ethers.", + "title": "Nomenclature and properties of ethers", + "kind": "Topic", + "id": "nomenclature-properties-ethers", + "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-properties-ethers", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-properties-ethers/", + "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-properties-ethers" + }, + "jee_hyperbolas": { + "slug": "jee_hyperbolas", + "hide": false, + "description": "Do you think that the math exams that you have to take are hard? Well, if you have the stomach, try the problem(s) in this tutorial. They are not only conceptually difficult, but they are also hairy.\n\nDon't worry if you have trouble with this. Most of us would. The IIT JEE is an exam administered to 200,000 students every year in India to select which 2000 go to the competitive IITs. They need to make sure that most of the students can't do most of the problems so that they can really whittle the applicants down.", + "title": "Conics in the IIT JEE", + "kind": "Topic", + "id": "jee_hyperbolas", + "topic_page_url": "/math/trigonometry/conics_precalc/jee_hyperbolas", + "path": "/math/trigonometry/conics_precalc/jee_hyperbolas/", + "extended_slug": "math/trigonometry/conics_precalc/jee_hyperbolas" + }, + "ditributive_property": { + "slug": "ditributive_property", + "hide": false, + "description": "The distributive property is an idea that shows up over and over again in mathematics. It is the idea that 5 x (3 + 4) = (5 x 3) + (5 x 4). If that last statement made complete sense, no need to watch this tutorial. If it didn't or you don't know why it's true, then this tutorial might be a good way to pass the time :)", + "title": "The distributive property", + "kind": "Topic", + "id": "ditributive_property", + "topic_page_url": "/math/arithmetic/multiplication-division/ditributive_property", + "path": "/math/arithmetic/multiplication-division/ditributive_property/", + "extended_slug": "math/arithmetic/multiplication-division/ditributive_property" + }, + "understanding_fractions": { + "slug": "understanding_fractions", + "hide": false, + "description": "If you don't understand fractions, you won't be even 1/3 educated. Glasses will seem half empty rather than half full. You'll be lucky to not be duped into some type of shady real-estate scheme or putting far too many eggs in your cake batter.\n\nGood thing this tutorial is here. You'll see that fractions allow us to view the world in entirely new ways. You'll see that everything doesn't have to be a whole. You'll be able to slice and dice and then put it all back together (and if you order now, we'll throw in a spatula warmer for no extra charge).", + "title": "Understanding fractions", + "kind": "Topic", + "id": "understanding_fractions", + "topic_page_url": "/math/arithmetic/fractions/understanding_fractions", + "path": "/math/arithmetic/fractions/understanding_fractions/", + "extended_slug": "math/arithmetic/fractions/understanding_fractions" + }, + "art-history-1300-1400-proto-renaissance": { + "slug": "art-history-1300-1400-proto-renaissance", + "hide": false, + "description": "", + "title": "1300-1400 Proto-Renaissance", + "kind": "Topic", + "id": "art-history-1300-1400-proto-renaissance", + "topic_page_url": "/humanities/art-history/art-history-1300-1400-proto-renaissance", + "path": "/humanities/art-history/art-history-1300-1400-proto-renaissance/", + "extended_slug": "humanities/art-history/art-history-1300-1400-proto-renaissance" + }, + "rates_tutorial": { + "slug": "rates_tutorial", + "hide": false, + "description": "How fast can a robot possum fly? What is the rate at which a hungry you can consume avocados? \n\nThis tutorial helps you make sense of these fundamental questions in life.", + "title": "Rates", + "kind": "Topic", + "id": "rates_tutorial", + "topic_page_url": "/math/arithmetic/rates-and-ratios/rates_tutorial", + "path": "/math/arithmetic/rates-and-ratios/rates_tutorial/", + "extended_slug": "math/arithmetic/rates-and-ratios/rates_tutorial" + }, + "monetary-system-topic": { + "slug": "monetary-system-topic", + "hide": false, + "description": "Fractional reserve banking and the money supply.", + "title": "The monetary system", + "kind": "Topic", + "id": "monetary-system-topic", + "topic_page_url": "/science/macroeconomics/monetary-system-topic", + "path": "/science/macroeconomics/monetary-system-topic/", + "extended_slug": "science/macroeconomics/monetary-system-topic" + }, + "systems_inequalities_precalc": { + "slug": "systems_inequalities_precalc", + "hide": false, + "description": "You feel comfortable with systems of equations, but you begin to realize that the world is not always fair. Not everything is equal! In this short tutorial, we will explore systems of inequalities. We'll graph them. We'll think about whether a point satisfies them. We'll even give you as much practice as you need. All for 3 easy installments of... just kidding, it's free (although the knowledge obtained in priceless). A good deal if we say so ourselves!", + "title": "Systems of inequalities", + "kind": "Topic", + "id": "systems_inequalities_precalc", + "topic_page_url": "/math/trigonometry/systems_eq_ineq/systems_inequalities_precalc", + "path": "/math/trigonometry/systems_eq_ineq/systems_inequalities_precalc/", + "extended_slug": "math/trigonometry/systems_eq_ineq/systems_inequalities_precalc" + }, + "preload-and-afterload": { + "slug": "preload-and-afterload", + "hide": false, + "description": "Find out exactly what preload and afterload mean, and why most of us use a handy shortcut to guess-timating what they are!", + "title": "Preload and Afterload", + "kind": "Topic", + "id": "preload-and-afterload", + "topic_page_url": "/science/healthcare-and-medicine/preload-and-afterload", + "path": "/science/healthcare-and-medicine/preload-and-afterload/", + "extended_slug": "science/healthcare-and-medicine/preload-and-afterload" + }, + "alternate_bases": { + "slug": "alternate_bases", + "hide": false, + "description": "We explore creating and moving between various coordinate systems.", + "title": "Alternate coordinate systems (bases)", + "kind": "Topic", + "id": "alternate_bases", + "topic_page_url": "/math/linear-algebra/alternate_bases", + "path": "/math/linear-algebra/alternate_bases/", + "extended_slug": "math/linear-algebra/alternate_bases" + }, + "ratios_algebra": { + "slug": "ratios_algebra", + "hide": false, + "description": "You remember a thing or two about ratios and proportions from you pre-algebra days. Well, how can we use these same ideas to solve problems in algebra.\n\nThis tutorial re-introduces ratios in an algebraic context and helps us solve some awesome problems!", + "title": "Ratios with algebra", + "kind": "Topic", + "id": "ratios_algebra", + "topic_page_url": "/math/algebra/rational-expressions/ratios_algebra", + "path": "/math/algebra/rational-expressions/ratios_algebra/", + "extended_slug": "math/algebra/rational-expressions/ratios_algebra" + }, + "aldehydes-ketones": { + "slug": "aldehydes-ketones", + "hide": false, + "description": "nomenclature and reactions of aldehydes and ketones", + "title": "Aldehydes and ketones", + "kind": "Topic", + "id": "aldehydes-ketones", + "topic_page_url": "/science/organic-chemistry/aldehydes-ketones", + "path": "/science/organic-chemistry/aldehydes-ketones/", + "extended_slug": "science/organic-chemistry/aldehydes-ketones" + }, + "reading_data": { + "slug": "reading_data", + "hide": false, + "description": "This tutorial is less about statistics and more about interpreting data--whether it is presented as a table, pictograph, bar graph or line graph. Good for someone new to these ideas. For a student in high school or college looking to learn statistics, it might make sense to skip (although it might not hurt either).", + "title": "Reading and interpretting data", + "kind": "Topic", + "id": "reading_data", + "topic_page_url": "/math/arithmetic/interpreting-data-topic/reading_data", + "path": "/math/arithmetic/interpreting-data-topic/reading_data/", + "extended_slug": "math/arithmetic/interpreting-data-topic/reading_data" + }, + "alkene-reactions-tutorial": { + "slug": "alkene-reactions-tutorial", + "hide": false, + "description": "In this tutorial, Jay explains the addition reactions of alkenes.", + "title": "Alkene reactions", + "kind": "Topic", + "id": "alkene-reactions-tutorial", + "topic_page_url": "/science/organic-chemistry/alkenes-alkynes/alkene-reactions-tutorial", + "path": "/science/organic-chemistry/alkenes-alkynes/alkene-reactions-tutorial/", + "extended_slug": "science/organic-chemistry/alkenes-alkynes/alkene-reactions-tutorial" + }, + "koch_snowflake": { + "slug": "koch_snowflake", + "hide": false, + "description": "Named after Helge von Koch, the Kock snowflake is one of the first fractals to be discovered. It is created by adding smaller and smaller equilateral bumps to an existing equilateral triangle. Quite amazingly, it produces a figure of infinite perimeter and finite area!", + "title": "Koch snowflake fractal", + "kind": "Topic", + "id": "koch_snowflake", + "topic_page_url": "/math/geometry/basic-geometry/koch_snowflake", + "path": "/math/geometry/basic-geometry/koch_snowflake/", + "extended_slug": "math/geometry/basic-geometry/koch_snowflake" + }, + "inverse_transformations": { + "slug": "inverse_transformations", + "hide": false, + "description": "You can use a transformation/function to map from one set to another, but can you invert it? In other words, is there a function/transformation that given the output of the original mapping, can output the original input (this is much clearer with diagrams). \n\nThis tutorial addresses this question in a linear algebra context. Since matrices can represent linear transformations, we're going to spend a lot of time thinking about matrices that represent the inverse transformation.", + "title": "Inverse functions and transformations", + "kind": "Topic", + "id": "inverse_transformations", + "topic_page_url": "/math/linear-algebra/matrix_transformations/inverse_transformations", + "path": "/math/linear-algebra/matrix_transformations/inverse_transformations/", + "extended_slug": "math/linear-algebra/matrix_transformations/inverse_transformations" + }, + "perimeter_area_basics": { + "slug": "perimeter_area_basics", + "hide": false, + "description": "How long of a fence do you need? How big is your house? How big is your waistline? What's your hat size? These are fundamentally important questions that need to be answered!\n\nThis is a tutorial to give you the basics of what perimeter, circumference (really the perimeter of a circle) and area are and then applies the ideas to triangles, rectangles and circles. This is more of review for students who are going through the main geometry narrative and can be skipped if yo u remember it from grade-school.", + "title": "Perimeter and area of rectangles", + "kind": "Topic", + "id": "perimeter_area_basics", + "topic_page_url": "/math/geometry/basic-geometry/perimeter_area_basics", + "path": "/math/geometry/basic-geometry/perimeter_area_basics/", + "extended_slug": "math/geometry/basic-geometry/perimeter_area_basics" + }, + "interest-tutorial": { + "slug": "interest-tutorial", + "hide": false, + "description": "", + "title": "Interest and debt", + "kind": "Topic", + "id": "interest-tutorial", + "topic_page_url": "/science/core-finance/interest-tutorial", + "path": "/science/core-finance/interest-tutorial/", + "extended_slug": "science/core-finance/interest-tutorial" + }, + "graphing-linear-inequalities": { + "slug": "graphing-linear-inequalities", + "hide": false, + "description": "In this tutorial we'll see how to graph linear inequalities on the coordinate plane. We'll also learn how to determine if a particular point is a solution of an inequality.", + "title": "Graphing linear inequalities", + "kind": "Topic", + "id": "graphing-linear-inequalities", + "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities", + "path": "/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities/", + "extended_slug": "math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities" + }, + "segments-and-angles": { + "slug": "segments-and-angles", + "hide": false, + "description": "This topic introduces the basic conceptual tools that underpin our journey through Euclidean geometry. These include the ideas of points, lines, line segments, rays, and planes.", + "title": "Points, lines, and planes", + "kind": "Topic", + "id": "segments-and-angles", + "topic_page_url": "/math/geometry/segments-and-angles", + "path": "/math/geometry/segments-and-angles/", + "extended_slug": "math/geometry/segments-and-angles" + }, + "average-costs-tutorial": { + "slug": "average-costs-tutorial", + "hide": false, + "description": "Using a spreadsheet, Sal walks through an example of average costs per line of code as a firm hires more engineers. Really good primer to understand what average fixed costs, average variable costs, average total costs (ATC) and average marginal costs (MC) are (and how they are calculated).", + "title": "Average fixed, variable and marginal costs", + "kind": "Topic", + "id": "average-costs-tutorial", + "topic_page_url": "/science/microeconomics/firm-economic-profit/average-costs-tutorial", + "path": "/science/microeconomics/firm-economic-profit/average-costs-tutorial/", + "extended_slug": "science/microeconomics/firm-economic-profit/average-costs-tutorial" + }, + "coordinate-plane": { + "slug": "coordinate-plane", + "hide": false, + "description": "How can we communicate exactly where something is in two dimensions? Who was this Descartes character? \n\nIn this tutorial, we cover the basics of the coordinate plane. We then delve into graphing points and determining whether a point is a solution of an equation. This will be a great tutorial experience if you are just starting to ramp up your understanding of graphing or need some fundamental review.", + "title": "Coordinate plane", + "kind": "Topic", + "id": "coordinate-plane", + "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane", + "path": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane/", + "extended_slug": "math/algebra/linear-equations-and-inequalitie/coordinate-plane" + }, + "circular-econ-gdp-tutorial": { + "slug": "circular-econ-gdp-tutorial", + "hide": false, + "description": "Economics can some times get confusing because one person's expenditure is another person's income which can then be used for expenditure and on and on and on. Seems very circular. It is.\n\nThis tutorial helps us grapple with this and introduces us to the primary tool economists use to measure a nations productivity/income/expenditure--GDP (gross domestic product).", + "title": "GDP and the circular flow of income and expenditures", + "kind": "Topic", + "id": "circular-econ-gdp-tutorial", + "topic_page_url": "/science/macroeconomics/gdp-topic/circular-econ-gdp-tutorial", + "path": "/science/macroeconomics/gdp-topic/circular-econ-gdp-tutorial/", + "extended_slug": "science/macroeconomics/gdp-topic/circular-econ-gdp-tutorial" + }, + "power_rule_tutorial": { + "slug": "power_rule_tutorial", + "hide": false, + "description": "Calculus is about to seem strangely straight forward. You've spent some time using the definition of a derivative to find the slope at a point. In this tutorial, we'll derive and apply the derivative for any term in a polynomial.\n\nBy the end of this tutorial, you'll have the power to take the derivative of any polynomial like it's second nature!", + "title": "Power rule", + "kind": "Topic", + "id": "power_rule_tutorial", + "topic_page_url": "/math/calculus/differential-calculus/power_rule_tutorial", + "path": "/math/calculus/differential-calculus/power_rule_tutorial/", + "extended_slug": "math/calculus/differential-calculus/power_rule_tutorial" + }, + "slope_of_line": { + "slug": "slope_of_line", + "hide": false, + "description": "If you've ever struggled to tell someone just how steep something is, you'll find the answer here. In this tutorial, we cover the idea of the slope of a line. We also think about how slope relates to the equation of a line and how you can determine the slope or y-intercept given some clues.\n\nThis tutorial is appropriate for someone who understands the basics of graphing equations and want to dig a bit deeper. After this tutorial, you will be prepared to start thinking deeper about the equation of a line.", + "title": "Slope", + "kind": "Topic", + "id": "slope_of_line", + "topic_page_url": "/math/trigonometry/graphs/slope_of_line", + "path": "/math/trigonometry/graphs/slope_of_line/", + "extended_slug": "math/trigonometry/graphs/slope_of_line" + }, + "graphing_with_intercepts": { + "slug": "graphing_with_intercepts", + "hide": false, + "description": "There are many ways to graph a line and this tutorial covers one of the simpler ones. Since you only need two points for a line, let's find what value an equation takes on when x = 0 (essentially the y-intercept) and what value it takes on when y = 0 (the x-intercept). Then we can graph the line by going through those two points.", + "title": "Graphing lines using x and y intercepts", + "kind": "Topic", + "id": "graphing_with_intercepts", + "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/graphing_with_intercepts", + "path": "/math/algebra/linear-equations-and-inequalitie/graphing_with_intercepts/", + "extended_slug": "math/algebra/linear-equations-and-inequalitie/graphing_with_intercepts" + }, + "logarithm_basics": { + "slug": "logarithm_basics", + "hide": false, + "description": "If you understand how to take an exponent and you're looking to take your mathematical game to a new level, then you've found the right tutorial. Put simply and confusingly, logarithms are inverse operators to exponents (just as subtraction to addition or division to multiplication). As you'll see, taking a logarithm of something tells you what exponent you need to raise a base to to get that number.", + "title": "Logarithm basics", + "kind": "Topic", + "id": "logarithm_basics", + "topic_page_url": "/math/algebra/logarithms-tutorial/logarithm_basics", + "path": "/math/algebra/logarithms-tutorial/logarithm_basics/", + "extended_slug": "math/algebra/logarithms-tutorial/logarithm_basics" + }, + "logical-reasoning": { + "slug": "logical-reasoning", + "hide": false, + "description": "", + "title": "Logical reasoning", + "kind": "Topic", + "id": "logical-reasoning", + "topic_page_url": "/math/geometry/logical-reasoning/e", + "path": "/math/geometry/logical-reasoning/", + "extended_slug": "math/geometry/logical-reasoning" + }, + "long_division": { + "slug": "long_division", + "hide": false, + "description": "You know your multiplication tables and are getting the hang of basic division. In this tutorial, we will journey into the world of loooong division (sometimes, referred to as \"long division\", but that's not as much fun to say).\n\nAfter this tutorial, you'll be able to divide any whole number by any other. The fun will not stop!", + "title": "Loooong division!", + "kind": "Topic", + "id": "long_division", + "topic_page_url": "/math/arithmetic/multiplication-division/long_division", + "path": "/math/arithmetic/multiplication-division/long_division/", + "extended_slug": "math/arithmetic/multiplication-division/long_division" + }, + "orbitals-and-electrons": { + "slug": "orbitals-and-electrons", + "hide": false, + "description": "", + "title": "Orbitals and Electrons", + "kind": "Topic", + "id": "orbitals-and-electrons", + "topic_page_url": "/science/chemistry/orbitals-and-electrons", + "path": "/science/chemistry/orbitals-and-electrons/", + "extended_slug": "science/chemistry/orbitals-and-electrons" + }, + "price-elasticity-tutorial": { + "slug": "price-elasticity-tutorial", + "hide": false, + "description": "You're familiar with supply and demand curves already. In this tutorial we'll explore what implications their steepness (or lack of) implies. Price elasticity is a measure of how sensitive something is to price.", + "title": "Price elasticity", + "kind": "Topic", + "id": "price-elasticity-tutorial", + "topic_page_url": "/science/microeconomics/elasticity-tutorial/price-elasticity-tutorial", + "path": "/science/microeconomics/elasticity-tutorial/price-elasticity-tutorial/", + "extended_slug": "science/microeconomics/elasticity-tutorial/price-elasticity-tutorial" + }, + "gradient": { + "slug": "gradient", + "hide": false, + "description": "Ever walk on hill (or any wacky surface) and wonder which way would be the fastest way up (or down). Now you can figure this out exactly with the gradient.", + "title": "Gradient", + "kind": "Topic", + "id": "gradient", + "topic_page_url": "/math/calculus/partial_derivatives_topic/gradient", + "path": "/math/calculus/partial_derivatives_topic/gradient/", + "extended_slug": "math/calculus/partial_derivatives_topic/gradient" + }, + "life-in-universe-topic": { + "slug": "life-in-universe-topic", + "hide": false, + "description": "Are dolphins the only intelligent life in the universe? We don't know for sure, but this tutorial gives a framework for thinking about the problem.", + "title": "Life in the Universe", + "kind": "Topic", + "id": "life-in-universe-topic", + "topic_page_url": "/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic", + "path": "/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic/", + "extended_slug": "science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic" + }, + "sn1-sn2-e1-e2-jay": { + "slug": "sn1-sn2-e1-e2-jay", + "hide": false, + "description": "In this tutorial, Jay discusses the strength of a nucleophile and the differences between SN1, SN2, E1, and E2 reactions.", + "title": "SN1/SN2/E1/E2", + "kind": "Topic", + "id": "sn1-sn2-e1-e2-jay", + "topic_page_url": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-e1-e2-jay", + "path": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-e1-e2-jay/", + "extended_slug": "science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-e1-e2-jay" + }, + "microeconomics": { + "slug": "microeconomics", + "hide": false, + "description": "Topics covered in a traditional college level introductory microeconomics course", + "title": "Microeconomics", + "kind": "Topic", + "id": "microeconomics", + "topic_page_url": "/science/microeconomics", + "path": "/science/microeconomics/", + "extended_slug": "science/microeconomics" + }, + "problem-solving": { + "slug": "problem-solving", + "hide": false, + "description": "Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)", + "title": "Problem Solving", + "kind": "Topic", + "id": "problem-solving", + "topic_page_url": "/test-prep/gmat/problem-solving", + "path": "/test-prep/gmat/problem-solving/", + "extended_slug": "test-prep/gmat/problem-solving" + }, + "formal-charge-resonance": { + "slug": "formal-charge-resonance", + "hide": false, + "description": "Positive and negative charges are everywhere in orgo! In this tutorial, Jay shows you how to assign formal charges to molecules and how to draw resonance structures.", + "title": "Formal charge and resonance", + "kind": "Topic", + "id": "formal-charge-resonance", + "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/formal-charge-resonance", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/formal-charge-resonance/", + "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/formal-charge-resonance" + }, + "math": { + "slug": "math", + "hide": false, + "description": null, + "title": "Math", + "kind": "Topic", + "id": "math", + "topic_page_url": null, + "path": "/math/", + "extended_slug": "math" + }, + "economics-introduction": { + "slug": "economics-introduction", + "hide": false, + "description": "This tutorial (that only has one video) is an overview of what economics is. In particular it will tell you the difference between microeconomics (the subject you're in right now) and macroeconomics. Really good first watch to give you some context on the world of economics.", + "title": "Introduction to economics", + "kind": "Topic", + "id": "economics-introduction", + "topic_page_url": "/science/microeconomics/supply-demand-equilibrium/economics-introduction", + "path": "/science/microeconomics/supply-demand-equilibrium/economics-introduction/", + "extended_slug": "science/microeconomics/supply-demand-equilibrium/economics-introduction" + }, + "centripetal-acceleration-tutoria": { + "slug": "centripetal-acceleration-tutoria", + "hide": false, + "description": "Why do things move in circles? Seriously. Why does *anything* ever move in a circle (straight lines seem much more natural). ? Is something moving in a circle at a constant speed accelerating? If so, in what direction? This tutorial will help you get mind around this super-fun topic.", + "title": "Centripetal acceleration", + "kind": "Topic", + "id": "centripetal-acceleration-tutoria", + "topic_page_url": "/science/physics/two-dimensional-motion/centripetal-acceleration-tutoria", + "path": "/science/physics/two-dimensional-motion/centripetal-acceleration-tutoria/", + "extended_slug": "science/physics/two-dimensional-motion/centripetal-acceleration-tutoria" + }, + "conics_precalc_eqs": { + "slug": "conics_precalc_eqs", + "hide": false, + "description": "You're familiar with the graphs and equations of all of the conic sections. Now you want practice identifying them given only their equations. You, my friend, are about to click on exactly the right tutorial.", + "title": "Conics from equations", + "kind": "Topic", + "id": "conics_precalc_eqs", + "topic_page_url": "/math/trigonometry/conics_precalc/conics_precalc_eqs", + "path": "/math/trigonometry/conics_precalc/conics_precalc_eqs/", + "extended_slug": "math/trigonometry/conics_precalc/conics_precalc_eqs" + }, + "addition_rule_prob_precalc": { + "slug": "addition_rule_prob_precalc", + "hide": false, + "description": "What is the probability of getting a diamond or an ace from a deck of cards? Well I could get a diamond that is not an ace, an ace that is not a diamond, or the ace of diamonds. This tutorial helps us think these types of situations through a bit better (especially with the help of our good friend, the Venn diagram).", + "title": "Venn diagrams and the addition rule", + "kind": "Topic", + "id": "addition_rule_prob_precalc", + "topic_page_url": "/math/trigonometry/prob_comb/addition_rule_prob_precalc", + "path": "/math/trigonometry/prob_comb/addition_rule_prob_precalc/", + "extended_slug": "math/trigonometry/prob_comb/addition_rule_prob_precalc" + }, + "divergence": { + "slug": "divergence", + "hide": false, + "description": "Is a vector field \"coming together\" or \"drawing apart\" at a given point in space. The divergence is a vector operator that gives us a scalar value at any point in a vector field. If it is positive, then we are diverging. Otherwise, we are converging!", + "title": "Divergence", + "kind": "Topic", + "id": "divergence", + "topic_page_url": "/math/calculus/partial_derivatives_topic/divergence", + "path": "/math/calculus/partial_derivatives_topic/divergence/", + "extended_slug": "math/calculus/partial_derivatives_topic/divergence" + }, + "mixed_number_mult_div": { + "slug": "mixed_number_mult_div", + "hide": false, + "description": "My recipe calls for a cup and a half of blueberries and serves 10 people. But I have 23 people coming over. How many cups of blueberries do I need?\n\nYou know that mixed numbers and improper fractions are two sides of the same coin (and you can convert between the two). In this tutorial we'll learn to multiply and divide mixed numbers (mainly by converting them into improper fractions first).", + "title": "Mixed number multiplication and division", + "kind": "Topic", + "id": "mixed_number_mult_div", + "topic_page_url": "/math/arithmetic/fractions/mixed_number_mult_div", + "path": "/math/arithmetic/fractions/mixed_number_mult_div/", + "extended_slug": "math/arithmetic/fractions/mixed_number_mult_div" + }, + "divergence_theorem": { + "slug": "divergence_theorem", + "hide": false, + "description": "An earlier tutorial used Green's theorem to prove the divergence theorem in 2-D, this tutorial gives us the 3-D version (what most people are talking about when they refer to the \"divergence theorem\"). We will get an intuition for it (that the flux through a close surface--like a balloon--should be equal to the divergence across it's volume). We will use it in examples. We will prove it in another tutorial.", + "title": "Divergence theorem (3D)", + "kind": "Topic", + "id": "divergence_theorem", + "topic_page_url": "/math/calculus/divergence_theorem_topic/divergence_theorem", + "path": "/math/calculus/divergence_theorem_topic/divergence_theorem/", + "extended_slug": "math/calculus/divergence_theorem_topic/divergence_theorem" + }, + "Basic_matrix_operations": { + "slug": "Basic_matrix_operations", + "hide": false, + "description": "Keanu Reeves' virtual world in the The Matrix (I guess we can call all three movies \"The Matrices\") have more in common with this tutorial than you might suspect. Matrices are ways of organizing numbers. They are used extensively in computer graphics, simulations and information processing in general. The super-intelligent artificial intelligences that created The Matrix for Keanu must have used many matrices in the process.\n\nThis tutorial introduces you to what a matrix is and how we define some basic operations on them.", + "title": "Basic matrix operations", + "kind": "Topic", + "id": "Basic_matrix_operations", + "topic_page_url": "/math/algebra/algebra-matrices/Basic_matrix_operations", + "path": "/math/algebra/algebra-matrices/Basic_matrix_operations/", + "extended_slug": "math/algebra/algebra-matrices/Basic_matrix_operations" + }, + "hybrid-orbitals-tutorial": { + "slug": "hybrid-orbitals-tutorial", + "hide": false, + "description": "In this tutorial, Jay shows examples of the different types of orbital hybridization.", + "title": "Hybrid orbitals", + "kind": "Topic", + "id": "hybrid-orbitals-tutorial", + "topic_page_url": "/science/organic-chemistry/gen-chem-review/hybrid-orbitals-tutorial", + "path": "/science/organic-chemistry/gen-chem-review/hybrid-orbitals-tutorial/", + "extended_slug": "science/organic-chemistry/gen-chem-review/hybrid-orbitals-tutorial" + }, + "current-capital-account": { + "slug": "current-capital-account", + "hide": false, + "description": "In this tutorial we will see how trade and assets (including money) changing hands are fundamentally intertwined. Not only that, but we will see how this can be accounted for through the capital account (assets changing hands) and current account (trade).", + "title": "Balance of payments- current account and capital account", + "kind": "Topic", + "id": "current-capital-account", + "topic_page_url": "/science/macroeconomics/forex-trade-topic/current-capital-account", + "path": "/science/macroeconomics/forex-trade-topic/current-capital-account/", + "extended_slug": "science/macroeconomics/forex-trade-topic/current-capital-account" + }, + "ang_intro": { + "slug": "ang_intro", + "hide": false, + "description": "Welcome. I'd like to introduce you to Mr. Angle. Nice to meet you. So nice to meet you. \n\nThis tutorial introduces us to angles. It includes how we measure them, how angles relate to each other and properties of angles created from various types of intersecting lines. Mr. Angle is actually far more fun than you might initially presume him to be.", + "title": "Angles between intersecting and parallel lines", + "kind": "Topic", + "id": "ang_intro", + "topic_page_url": "/math/geometry/parallel-and-perpendicular-lines/ang_intro", + "path": "/math/geometry/parallel-and-perpendicular-lines/ang_intro/", + "extended_slug": "math/geometry/parallel-and-perpendicular-lines/ang_intro" + }, + "art-history-1800-1848-industrial-revolution-i": { + "slug": "art-history-1800-1848-industrial-revolution-i", + "hide": false, + "description": "", + "title": "1800-1848 Industrial Revolution I", + "kind": "Topic", + "id": "art-history-1800-1848-industrial-revolution-i", + "topic_page_url": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i", + "path": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/", + "extended_slug": "humanities/art-history/art-history-1800-1848-industrial-revolution-i" + }, + "percent_tutorial": { + "slug": "percent_tutorial", + "hide": false, + "description": "At least 50% of the math that you end up doing in your real life will involve percentages. We're not really sure about that figure, but it sounds authoritative. Anyway, unless you've watched this tutorial, you're really in no position to argue otherwise.\n\nAs you'll see \"percent\" literally means \"per cent\" or \"per hundred\". It's a pseudo-decimally thing that our society likes to use even though decimals or fractions alone would have done the trick. Either way, we're 100% sure you'll find this useful.", + "title": "Intro to percentages", + "kind": "Topic", + "id": "percent_tutorial", + "topic_page_url": "/math/arithmetic/decimals/percent_tutorial", + "path": "/math/arithmetic/decimals/percent_tutorial/", + "extended_slug": "math/arithmetic/decimals/percent_tutorial" + }, + "dot_cross_products": { + "slug": "dot_cross_products", + "hide": false, + "description": "In this tutorial, we define two ways to \"multiply\" vectors-- the dot product and the cross product. As we progress, we'll get an intuitive feel for their meaning, how they can used and how the two vector products relate to each other.", + "title": "Vector dot and cross products", + "kind": "Topic", + "id": "dot_cross_products", + "topic_page_url": "/math/linear-algebra/vectors_and_spaces/dot_cross_products", + "path": "/math/linear-algebra/vectors_and_spaces/dot_cross_products/", + "extended_slug": "math/linear-algebra/vectors_and_spaces/dot_cross_products" + }, + "geometry": { + "slug": "geometry", + "hide": false, + "description": "This is a first year, high-school level course on Geometry (which is based on Euclid's elements). It revisits many of the basic geometrical concepts studied in earlier courses, but addresses them with more mathematical rigor. There is strong focus on proving theorems and results from basic postulates.", + "title": "Geometry", + "kind": "Topic", + "id": "geometry", + "topic_page_url": "/math/geometry", + "path": "/math/geometry/", + "extended_slug": "math/geometry" + }, + "nomenclature-preparation-epoxides": { + "slug": "nomenclature-preparation-epoxides", + "hide": false, + "description": "In this tutorial, Sal and Jay name epoxides. Jay also shows the preparation of epoxides and includes the stereochemistry of the reaction.", + "title": "Nomenclature and preparation of epoxides", + "kind": "Topic", + "id": "nomenclature-preparation-epoxides", + "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-preparation-epoxides", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-preparation-epoxides/", + "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-preparation-epoxides" + }, + "euro-hist": { + "slug": "euro-hist", + "hide": false, + "description": "", + "title": "European History", + "kind": "Topic", + "id": "euro-hist", + "topic_page_url": "/humanities/history/euro-hist", + "path": "/humanities/history/euro-hist/", + "extended_slug": "humanities/history/euro-hist" + }, + "old-school-equations": { + "slug": "old-school-equations", + "hide": false, + "description": "Some of Sal's oldest (and roughest) videos on algebra. Great tutorial if you want to see what Khan Academy was like around 2006. You might also like it if you feel like Sal has lost his magic now that he doesn't use the cheapest possible equipment to make the videos.", + "title": "Old school equations with Sal", + "kind": "Topic", + "id": "old-school-equations", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/old-school-equations", + "path": "/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/old-school-equations" + }, + "market-equilibrium-tutorial": { + "slug": "market-equilibrium-tutorial", + "hide": false, + "description": "You understand demand and supply. This tutorial puts it all together by thinking about where the two curves intersect. This point represents the equilibrium price and quantity which is, in an ideal world, where the market would transact.", + "title": "Market equilibrium", + "kind": "Topic", + "id": "market-equilibrium-tutorial", + "topic_page_url": "/science/microeconomics/supply-demand-equilibrium/market-equilibrium-tutorial", + "path": "/science/microeconomics/supply-demand-equilibrium/market-equilibrium-tutorial/", + "extended_slug": "science/microeconomics/supply-demand-equilibrium/market-equilibrium-tutorial" + }, + "independent_events": { + "slug": "independent_events", + "hide": false, + "description": "What is the probability of making three free throws in a row (LeBron literally asks this in this tutorial).\n\nIn this tutorial, we'll explore compound events happening where the probability of one event is not dependent on the outcome of another (compound, independent, events).", + "title": "Compound, independent events", + "kind": "Topic", + "id": "independent_events", + "topic_page_url": "/math/probability/independent-dependent-probability/independent_events", + "path": "/math/probability/independent-dependent-probability/independent_events/", + "extended_slug": "math/probability/independent-dependent-probability/independent_events" + }, + "singapore-math": { + "slug": "singapore-math", + "hide": false, + "description": "Lectures based on the Singapore Math curriculum. You can follow along through the workbooks available at singaporemath.com", + "title": "Singapore Math", + "kind": "Topic", + "id": "singapore-math", + "topic_page_url": "/test-prep/singapore-math", + "path": "/test-prep/singapore-math/", + "extended_slug": "test-prep/singapore-math" + }, + "percent_word_problems": { + "slug": "percent_word_problems", + "hide": false, + "description": "I paid $5.00 for some tanning lotion (ok, I've never really bought tanning lotion) after a 35% discount. How can we find the full price?\n\nYou know how to take a percentage. In this tutorial, we use our newfound powers to solve equations to tackle fascinating percentage problems.", + "title": "Percent word problems", + "kind": "Topic", + "id": "percent_word_problems", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/percent_word_problems", + "path": "/math/algebra/solving-linear-equations-and-inequalities/percent_word_problems/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/percent_word_problems" + }, + "probability": { + "slug": "probability", + "hide": false, + "description": "", + "title": "Probability and statistics", + "kind": "Topic", + "id": "probability", + "topic_page_url": "/math/probability", + "path": "/math/probability/", + "extended_slug": "math/probability" + }, + "multiplying_decimals": { + "slug": "multiplying_decimals", + "hide": false, + "description": "The real world is seldom about whole numbers. If you precisely measure anything, you're likely to get a decimal. If you don't know how to multiply these decimals, then you won't be able to do all the powerful things that multiplication can do in the real world (figure out your commission as a robot possum salesperson, determining how much shag carpet you need for your secret lair, etc.).", + "title": "Multiplying decimals", + "kind": "Topic", + "id": "multiplying_decimals", + "topic_page_url": "/math/arithmetic/decimals/multiplying_decimals", + "path": "/math/arithmetic/decimals/multiplying_decimals/", + "extended_slug": "math/arithmetic/decimals/multiplying_decimals" + }, + "art-history-400-c-e--ancient-cultures": { + "slug": "art-history-400-c-e--ancient-cultures", + "hide": false, + "description": "", + "title": " - 400 C.E. Ancient Cultures", + "kind": "Topic", + "id": "art-history-400-c-e--ancient-cultures", + "topic_page_url": "/humanities/art-history/art-history-400-c-e--ancient-cultures", + "path": "/humanities/art-history/art-history-400-c-e--ancient-cultures/", + "extended_slug": "humanities/art-history/art-history-400-c-e--ancient-cultures" + }, + "proof_by_induction": { + "slug": "proof_by_induction", + "hide": false, + "description": "Proof by induction is a core tool. This tutorial walks you through the general idea that if 1) something is true for a base case (say when n=1) and 2) if it is true for n, then it is also true for n+1, then it must be true for all n! Amazing!", + "title": "Induction", + "kind": "Topic", + "id": "proof_by_induction", + "topic_page_url": "/math/trigonometry/seq_induction/proof_by_induction", + "path": "/math/trigonometry/seq_induction/proof_by_induction/", + "extended_slug": "math/trigonometry/seq_induction/proof_by_induction" + }, + "perimeter_area_tutorial": { + "slug": "perimeter_area_tutorial", + "hide": false, + "description": "You first learned about perimeter and area when you were in grade school. In this tutorial, we will revisit those ideas with a more mathy lense. We will use our prior knowledge of congruence to really start to prove some neat (and useful) results (including some that will be useful in our study of similarity).", + "title": "Perimeter and area of triangles", + "kind": "Topic", + "id": "perimeter_area_tutorial", + "topic_page_url": "/math/geometry/basic-geometry/perimeter_area_tutorial", + "path": "/math/geometry/basic-geometry/perimeter_area_tutorial/", + "extended_slug": "math/geometry/basic-geometry/perimeter_area_tutorial" + }, + "demand-curve-tutorial": { + "slug": "demand-curve-tutorial", + "hide": false, + "description": "You've probably heard of supply and demand. Well, this tutorial focuses on the demand part. All else equal, do people want more or less of something if the price goes down (what would you do)? Not only will you get an intuition for the way we typically depict a demand curve, you'll get an understanding for what might shift it.", + "title": "The demand curve", + "kind": "Topic", + "id": "demand-curve-tutorial", + "topic_page_url": "/science/microeconomics/supply-demand-equilibrium/demand-curve-tutorial", + "path": "/science/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/", + "extended_slug": "science/microeconomics/supply-demand-equilibrium/demand-curve-tutorial" + }, + "income-and-expenditure-topic": { + "slug": "income-and-expenditure-topic", + "hide": false, + "description": "Consumption function. Marginal propensity to consume and multiplier. Keynesian Cross and IS-LM model.", + "title": "Income and expenditure - Keynesian cross and IS-LM model", + "kind": "Topic", + "id": "income-and-expenditure-topic", + "topic_page_url": "/science/macroeconomics/income-and-expenditure-topic", + "path": "/science/macroeconomics/income-and-expenditure-topic/", + "extended_slug": "science/macroeconomics/income-and-expenditure-topic" + }, + "displacement-velocity-time": { + "slug": "displacement-velocity-time", + "hide": false, + "description": "This tutorial is the backbone of your understanding of kinematics (i.e., the motion of objects). You might already know that distance = rate x time. This tutorial essentially reviews that idea with a vector lens (we introduce you to vectors here as well). So strap your belts (actually this might not be necessary since we don't plan on decelerating in this tutorial) and prepare for a gentle ride of foundational physics knowledge.", + "title": "Displacement, velocity and time", + "kind": "Topic", + "id": "displacement-velocity-time", + "topic_page_url": "/science/physics/one-dimensional-motion/displacement-velocity-time", + "path": "/science/physics/one-dimensional-motion/displacement-velocity-time/", + "extended_slug": "science/physics/one-dimensional-motion/displacement-velocity-time" + }, + "reactions-ketones": { + "slug": "reactions-ketones", + "hide": false, + "description": "In this tutorial, Sal shows the mechanism of Keto-Enol Tautomerization and the Aldol reaction.", + "title": "Reactions of ketones", + "kind": "Topic", + "id": "reactions-ketones", + "topic_page_url": "/science/organic-chemistry/aldehydes-ketones/reactions-ketones", + "path": "/science/organic-chemistry/aldehydes-ketones/reactions-ketones/", + "extended_slug": "science/organic-chemistry/aldehydes-ketones/reactions-ketones" + }, + "iit-jee": { + "slug": "iit-jee", + "hide": false, + "description": "Questions from previous IIT JEEs", + "title": "IIT JEE", + "kind": "Topic", + "id": "iit-jee", + "topic_page_url": "/test-prep/iit-jee", + "path": "/test-prep/iit-jee/", + "extended_slug": "test-prep/iit-jee" + }, + "put-call-options": { + "slug": "put-call-options", + "hide": false, + "description": "Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly.\n\nThis tutorial walks through option basics and even goes into some fairly sophisticated option mechanics.", + "title": "Put and call options", + "kind": "Topic", + "id": "put-call-options", + "topic_page_url": "/science/core-finance/derivative-securities/put-call-options", + "path": "/science/core-finance/derivative-securities/put-call-options/", + "extended_slug": "science/core-finance/derivative-securities/put-call-options" + }, + "art-history": { + "slug": "art-history", + "hide": false, + "description": "Spontaneous conversations about works of art where the speakers are not afraid to disagree with each other or art history orthodoxy. Videos are made by Dr. Beth Harris and Dr. Steven Zucker along with other contributors and maintained at smarthistory.khanacademy.org.", + "title": "Art History", + "kind": "Topic", + "id": "art-history", + "topic_page_url": "/humanities/art-history", + "path": "/humanities/art-history/", + "extended_slug": "humanities/art-history" + }, + "chemical-reactions-stoichiometry": { + "slug": "chemical-reactions-stoichiometry", + "hide": false, + "description": "", + "title": "Chemical reactions (stoichiometry)", + "kind": "Topic", + "id": "chemical-reactions-stoichiometry", + "topic_page_url": "/science/chemistry/chemical-reactions-stoichiometry", + "path": "/science/chemistry/chemical-reactions-stoichiometry/", + "extended_slug": "science/chemistry/chemical-reactions-stoichiometry" + }, + "differential-equations-intro": { + "slug": "differential-equations-intro", + "hide": false, + "description": "How is a differential equation different from a regular one? Well, the solution is a function (or a class of functions), not a number. How do you like me now (that is what the differential equation would say in response to your shock)!", + "title": "Intro to differential equations", + "kind": "Topic", + "id": "differential-equations-intro", + "topic_page_url": "/math/differential-equations/first-order-differential-equations/differential-equations-intro", + "path": "/math/differential-equations/first-order-differential-equations/differential-equations-intro/", + "extended_slug": "math/differential-equations/first-order-differential-equations/differential-equations-intro" + }, + "parallel_perpendicular": { + "slug": "parallel_perpendicular", + "hide": false, + "description": "You're familiar with graphing lines, slope and y-intercepts. Now we are going to go further into analytic geometry by thinking about the equations of parallel and perpendicular lines. Enjoy!", + "title": "Equations of parallel and perpendicular lines", + "kind": "Topic", + "id": "parallel_perpendicular", + "topic_page_url": "/math/trigonometry/graphs/parallel_perpendicular", + "path": "/math/trigonometry/graphs/parallel_perpendicular/", + "extended_slug": "math/trigonometry/graphs/parallel_perpendicular" + }, + "conic_section_intro": { + "slug": "conic_section_intro", + "hide": false, + "description": "What is a conic other than a jazz singer from New Orleans? Well, as you'll see in this tutorial, a conic section is formed when you intersect a plane with cones. You end up with some familiar shapes (like circles and ellipses) and some that are a bit unexpected (like hyperbolas). This tutorial gets you set up with the basics and is a good foundation for going deeper into the world of conic sections.", + "title": "Conic section basics", + "kind": "Topic", + "id": "conic_section_intro", + "topic_page_url": "/math/trigonometry/conics_precalc/conic_section_intro", + "path": "/math/trigonometry/conics_precalc/conic_section_intro/", + "extended_slug": "math/trigonometry/conics_precalc/conic_section_intro" + }, + "3d_flux": { + "slug": "3d_flux", + "hide": false, + "description": "Flux can be view as the rate at which \"stuff\" passes through a surface. Imagine a next placed in a river and imagine the water that is flowing directly across the net in a unit of time--this is flux (and it would depend on the orientation of the net, the shape of the net, and the speed and direction of the current). It is an important idea throughout physics and is key for understanding Stokes' theorem and the divergence theorem.", + "title": "Flux in 3-D and constructing unit normal vectors to surface", + "kind": "Topic", + "id": "3d_flux", + "topic_page_url": "/math/calculus/multivariable-calculus/3d_flux", + "path": "/math/calculus/multivariable-calculus/3d_flux/", + "extended_slug": "math/calculus/multivariable-calculus/3d_flux" + }, + "geometry-worked-examples": { + "slug": "geometry-worked-examples", + "hide": false, + "description": "Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Basic understanding of Algebra I necessary.", + "title": "Worked Examples", + "kind": "Topic", + "id": "geometry-worked-examples", + "topic_page_url": "/math/geometry/geometry-worked-examples", + "path": "/math/geometry/geometry-worked-examples/", + "extended_slug": "math/geometry/geometry-worked-examples" + }, + "mathy-functions": { + "slug": "mathy-functions", + "hide": false, + "description": "In this tutorial, we'll start to use and define functions in more \"mathy\" or formal ways.", + "title": "More mathy functions", + "kind": "Topic", + "id": "mathy-functions", + "topic_page_url": "/math/algebra/algebra-functions/mathy-functions", + "path": "/math/trigonometry/functions_and_graphs/mathy-functions/", + "extended_slug": "math/algebra/algebra-functions/mathy-functions" + }, + "ideal-gas-laws": { + "slug": "ideal-gas-laws", + "hide": false, + "description": "", + "title": "Ideal gas laws", + "kind": "Topic", + "id": "ideal-gas-laws", + "topic_page_url": "/science/chemistry/ideal-gas-laws", + "path": "/science/chemistry/ideal-gas-laws/", + "extended_slug": "science/chemistry/ideal-gas-laws" + }, + "angle_bisectors": { + "slug": "angle_bisectors", + "hide": false, + "description": "This tutorial experiments with lines that divide the angles of a triangle in two (angle bisectors). As we'll prove, all three angle bisectors actually intersect at one point called the incenter (amazing!). We'll also prove that this incenter is equidistant from the sides of the triangle (even more amazing!). This allows us to create a circle centered at the incenter that is tangent to the sides of the triangle (not surprisingly called the \"incircle\").", + "title": "Angle bisectors", + "kind": "Topic", + "id": "angle_bisectors", + "topic_page_url": "/math/geometry/triangle-properties/angle_bisectors", + "path": "/math/geometry/triangle-properties/angle_bisectors/", + "extended_slug": "math/geometry/triangle-properties/angle_bisectors" + }, + "integral-calculus": { + "slug": "integral-calculus", + "hide": false, + "description": "Indefinite integral as anti-derivative. Definite integral as area under a curve. Integration by parts. U-substitution. Trig substitution.", + "title": "Indefinite and definite integrals", + "kind": "Topic", + "id": "integral-calculus", + "topic_page_url": "/math/calculus/integral-calculus", + "path": "/math/calculus/integral-calculus/", + "extended_slug": "math/calculus/integral-calculus" + }, + "solving-linear-equations-and-inequalities": { + "slug": "solving-linear-equations-and-inequalities", + "hide": false, + "description": "", + "title": "Linear equations", + "kind": "Topic", + "id": "solving-linear-equations-and-inequalities", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities", + "path": "/math/algebra/solving-linear-equations-and-inequalities/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities" + }, + "Mixed_number_add_sub": { + "slug": "Mixed_number_add_sub", + "hide": false, + "description": "You know the basics of what mixed numbers are. You're now ready to add and subtract them. This tutorial gives you plenty of examples and practice in this core skill!", + "title": "Mixed number addition and subtraction", + "kind": "Topic", + "id": "Mixed_number_add_sub", + "topic_page_url": "/math/arithmetic/fractions/Mixed_number_add_sub", + "path": "/math/arithmetic/fractions/Mixed_number_add_sub/", + "extended_slug": "math/arithmetic/fractions/Mixed_number_add_sub" + }, + "earth-history-topic": { + "slug": "earth-history-topic", + "hide": false, + "description": "What is the Earth made up of and how do we know? What causes the seasons? Are there longer-ranging cycles in Earth's climate?", + "title": "Earth geological and climactic history", + "kind": "Topic", + "id": "earth-history-topic", + "topic_page_url": "/science/cosmology-and-astronomy/earth-history-topic", + "path": "/science/cosmology-and-astronomy/earth-history-topic/", + "extended_slug": "science/cosmology-and-astronomy/earth-history-topic" + }, + "ancient-medieval": { + "slug": "ancient-medieval", + "hide": false, + "description": "", + "title": "Ancient and Medieval History", + "kind": "Topic", + "id": "ancient-medieval", + "topic_page_url": "/humanities/history/ancient-medieval", + "path": "/humanities/history/ancient-medieval/", + "extended_slug": "humanities/history/ancient-medieval" + }, + "scientific-notation": { + "slug": "scientific-notation", + "hide": false, + "description": "Scientists and engineers often have to deal with super huge (like 6,000,000,000,000,000,000,000) and super small numbers (like 0.0000000000532) . How can they do this without tiring their hands out? How can they look at a number and understand how large or small it is without counting the digits? The answer is to use scientific notation.\n\nIf you come to this tutorial with a basic understanding of positive and negative exponents, it should leave you with a new appreciation for representing really huge and really small numbers!", + "title": "Scientific notation", + "kind": "Topic", + "id": "scientific-notation", + "topic_page_url": "/math/arithmetic/exponents-radicals/scientific-notation", + "path": "/math/arithmetic/exponents-radicals/scientific-notation/", + "extended_slug": "math/arithmetic/exponents-radicals/scientific-notation" + }, + "linear_combinations": { + "slug": "linear_combinations", + "hide": false, + "description": "Given a set of vectors, what other vectors can you create by adding and/or subtracting scalar multiples of those vectors. The set of vectors that you can create through these linear combinations of the original set is called the \"span\" of the set.", + "title": "Linear combinations and spans", + "kind": "Topic", + "id": "linear_combinations", + "topic_page_url": "/math/linear-algebra/vectors_and_spaces/linear_combinations", + "path": "/math/linear-algebra/vectors_and_spaces/linear_combinations/", + "extended_slug": "math/linear-algebra/vectors_and_spaces/linear_combinations" + }, + "calc_optimization": { + "slug": "calc_optimization", + "hide": false, + "description": "Using calculus to solve optimization problems", + "title": "Optimization with calculus", + "kind": "Topic", + "id": "calc_optimization", + "topic_page_url": "/math/calculus/derivative_applications/calc_optimization", + "path": "/math/calculus/derivative_applications/calc_optimization/", + "extended_slug": "math/calculus/derivative_applications/calc_optimization" + }, + "naming-amines": { + "slug": "naming-amines", + "hide": false, + "description": "In this tutorial, Sal shows how to name amines.", + "title": "Naming amines", + "kind": "Topic", + "id": "naming-amines", + "topic_page_url": "/science/organic-chemistry/amines-topic/naming-amines", + "path": "/science/organic-chemistry/amines-topic/naming-amines/", + "extended_slug": "science/organic-chemistry/amines-topic/naming-amines" + }, + "reactions-benzene": { + "slug": "reactions-benzene", + "hide": false, + "description": "In this tutorial, Sal shows the mechanism of Electrophilic Aromatic Substitution and the reactions of bromination and Friedel-Crafts Acylation.", + "title": "Reactions of benzene", + "kind": "Topic", + "id": "reactions-benzene", + "topic_page_url": "/science/organic-chemistry/aromatic-compounds/reactions-benzene", + "path": "/science/organic-chemistry/aromatic-compounds/reactions-benzene/", + "extended_slug": "science/organic-chemistry/aromatic-compounds/reactions-benzene" + }, + "introduction-to-art-history": { + "slug": "introduction-to-art-history", + "hide": false, + "description": "", + "title": "Introduction to Art History", + "kind": "Topic", + "id": "introduction-to-art-history", + "topic_page_url": "/humanities/art-history/introduction-to-art-history", + "path": "/humanities/art-history/introduction-to-art-history/", + "extended_slug": "humanities/art-history/introduction-to-art-history" + }, + "renting-v-buying": { + "slug": "renting-v-buying", + "hide": false, + "description": "Is it always better to buy than rent? What if home prices go up dramatically and rents don't? How can we compare home prices to rents to figure out what to do.\n\nThis older tutorial (low-res, bad handwriting) walks us through this. It is about housing but similar thinking can be applied to any rent-vs-buy decision (spoiler alert, Sal did eventually buy a home).", + "title": "Renting vs. buying a home", + "kind": "Topic", + "id": "renting-v-buying", + "topic_page_url": "/science/core-finance/housing/renting-v-buying", + "path": "/science/core-finance/housing/renting-v-buying/", + "extended_slug": "science/core-finance/housing/renting-v-buying" + }, + "mergers-acquisitions": { + "slug": "mergers-acquisitions", + "hide": false, + "description": "Companies often buy or merge with other companies using shares (which is sometimes less intuitive than when they use cash). This tutorial walks through the mechanics of how this happens and details what is likely to happen in the public markets because of the transaction (including opportunities for arbitrage).", + "title": "Mergers and acquisitions", + "kind": "Topic", + "id": "mergers-acquisitions", + "topic_page_url": "/science/core-finance/stock-and-bonds/mergers-acquisitions", + "path": "/science/core-finance/stock-and-bonds/mergers-acquisitions/", + "extended_slug": "science/core-finance/stock-and-bonds/mergers-acquisitions" + }, + "algebra-functions": { + "slug": "algebra-functions", + "hide": false, + "description": "Identifying, solving, and graphing various types of functions.", + "title": "Functions", + "kind": "Topic", + "id": "algebra-functions", + "topic_page_url": "/math/algebra/algebra-functions", + "path": "/math/algebra/algebra-functions/", + "extended_slug": "math/algebra/algebra-functions" + }, + "triple_integrals": { + "slug": "triple_integrals", + "hide": false, + "description": "This is about as many integrals we can use before our brains explode. Now we can sum variable quantities in three-dimensions (what is the mass of a 3-D wacky object that has variable mass)!", + "title": "Triple integrals", + "kind": "Topic", + "id": "triple_integrals", + "topic_page_url": "/math/calculus/double_triple_integrals/triple_integrals", + "path": "/math/calculus/double_triple_integrals/triple_integrals/", + "extended_slug": "math/calculus/double_triple_integrals/triple_integrals" + }, + "photosynthesis": { + "slug": "photosynthesis", + "hide": false, + "description": "", + "title": "Photosynthesis", + "kind": "Topic", + "id": "photosynthesis", + "topic_page_url": "/science/biology/photosynthesis", + "path": "/science/biology/photosynthesis/", + "extended_slug": "science/biology/photosynthesis" + }, + "integration_by_parts": { + "slug": "integration_by_parts", + "hide": false, + "description": "When we wanted to take the derivative of f(x)g(x) in differential calculus, we used the product rule. In this tutorial, we use the product rule to derive a powerful way to take the anti-derivative of a class of functions--integration by parts.", + "title": "Integration by parts", + "kind": "Topic", + "id": "integration_by_parts", + "topic_page_url": "/math/calculus/integral-calculus/integration_by_parts", + "path": "/math/calculus/integral-calculus/integration_by_parts/", + "extended_slug": "math/calculus/integral-calculus/integration_by_parts" + }, + "u_substitution": { + "slug": "u_substitution", + "hide": false, + "description": "U-substitution is a must-have tool for any integrating arsenal (tools aren't normally put in arsenals, but that sounds better than toolkit). It is essentially the reverise chain rule. U-substitution is very useful for any integral where an expression is of the form g(f(x))f'(x)(and a few other cases). Over time, you'll be able to do these in your head without necessarily even explicitly substituting. \n\nWhy the letter \"u\"? Well, it could have been anything, but this is the convention. I guess why not the letter \"u\" :)", + "title": "U-substitution", + "kind": "Topic", + "id": "u_substitution", + "topic_page_url": "/math/calculus/integral-calculus/u_substitution", + "path": "/math/calculus/integral-calculus/u_substitution/", + "extended_slug": "math/calculus/integral-calculus/u_substitution" + }, + "quadratic_formula": { + "slug": "quadratic_formula", + "hide": false, + "description": "Probably one of the most famous tools in mathematics, the quadratic formula (a.k.a. quadratic equation) helps you think about the roots of ANY quadratic (even ones that have no real roots)! As you'll see, it is just the by-product of completing the square, but understanding and applying the formula will take your algebra skills to new heights.\n\nIn theory, one could apply the quadratic formula in a brainless way without understanding factoring or completing the square, but that's lame and uninteresting. We recommend coming to this tutorial with a solid background in both of those techniques. Have fun!", + "title": "The quadratic formula (quadratic equation)", + "kind": "Topic", + "id": "quadratic_formula", + "topic_page_url": "/math/algebra/quadratics/quadratic_formula", + "path": "/math/algebra/quadratics/quadratic_formula/", + "extended_slug": "math/algebra/quadratics/quadratic_formula" + }, + "old_prob_videos": { + "slug": "old_prob_videos", + "hide": false, + "description": "Sal's old videos on probability. Covered better in other tutorials but here because some people actually like these better.", + "title": "Old school probability (very optional)", + "kind": "Topic", + "id": "old_prob_videos", + "topic_page_url": "/math/probability/independent-dependent-probability/old_prob_videos", + "path": "/math/probability/independent-dependent-probability/old_prob_videos/", + "extended_slug": "math/probability/independent-dependent-probability/old_prob_videos" + }, + "bc_sample_questions": { + "slug": "bc_sample_questions", + "hide": false, + "description": "The Calculus BC AP exam is a super set of the AB exam. It covers everything in AB as well as some of the more advanced topics in integration, sequences and function approximation. This tutorial is great practice for anyone looking to test their calculus mettle!", + "title": "Calculus BC sample questions", + "kind": "Topic", + "id": "bc_sample_questions", + "topic_page_url": "/math/calculus/ap_calc_topic/bc_sample_questions", + "path": "/math/calculus/ap_calc_topic/bc_sample_questions/", + "extended_slug": "math/calculus/ap_calc_topic/bc_sample_questions" + }, + "art-history-1700-1800-age-of-enlightenment": { + "slug": "art-history-1700-1800-age-of-enlightenment", + "hide": false, + "description": "", + "title": "1700-1800 Age of Enlightenment", + "kind": "Topic", + "id": "art-history-1700-1800-age-of-enlightenment", + "topic_page_url": "/humanities/art-history/art-history-1700-1800-age-of-enlightenment", + "path": "/humanities/art-history/art-history-1700-1800-age-of-enlightenment/", + "extended_slug": "humanities/art-history/art-history-1700-1800-age-of-enlightenment" + }, + "hyperbolas-precalc": { + "slug": "hyperbolas-precalc", + "hide": false, + "description": "It is no hyperbole to say that hyperbolas are awesome. In this tutorial, we look closely at this wacky conic section. We pay special attention to its graph and equation.", + "title": "Hyperbolas", + "kind": "Topic", + "id": "hyperbolas-precalc", + "topic_page_url": "/math/trigonometry/conics_precalc/hyperbolas-precalc", + "path": "/math/trigonometry/conics_precalc/hyperbolas-precalc/", + "extended_slug": "math/trigonometry/conics_precalc/hyperbolas-precalc" + }, + "Equivalent_fractions": { + "slug": "Equivalent_fractions", + "hide": false, + "description": "There are literally infinite ways to represent any fraction (or number for that matter). Don't believe us? Let's take 1/3. 2/6, 3/9, 4/12 ... 10001/30003 are all equivalent fractions (and we could keep going)! \n\nIf you know the basics of what a fraction is, this is a great tutorial for recognizing when fractions are equivalent and then simplifying them as much as possible!", + "title": "Equivalent fractions and simplified form", + "kind": "Topic", + "id": "Equivalent_fractions", + "topic_page_url": "/math/arithmetic/fractions/Equivalent_fractions", + "path": "/math/arithmetic/fractions/Equivalent_fractions/", + "extended_slug": "math/arithmetic/fractions/Equivalent_fractions" + }, + "inflation-basics-tutorial": { + "slug": "inflation-basics-tutorial", + "hide": false, + "description": "$1 went a lot further in 1900 than today (you could probably buy a good meal for the family for $1 back then). Why? And how to we measure how-more-expensive-things-have-gotten (i.e., inflation)?", + "title": "Inflation basics", + "kind": "Topic", + "id": "inflation-basics-tutorial", + "topic_page_url": "/science/core-finance/inflation-tutorial/inflation-basics-tutorial", + "path": "/science/core-finance/inflation-tutorial/inflation-basics-tutorial/", + "extended_slug": "science/core-finance/inflation-tutorial/inflation-basics-tutorial" + }, + "naming-alkanes-cycloalkanes-bicyclic": { + "slug": "naming-alkanes-cycloalkanes-bicyclic", + "hide": false, + "description": "Do you speak the language of organic chemistry? In this tutorial, Jay shows you how to be fluent in naming alkanes, cycloalkanes, and bicyclic compounds.", + "title": "Naming alkanes, cycloalkanes, and bicyclic compounds", + "kind": "Topic", + "id": "naming-alkanes-cycloalkanes-bicyclic", + "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes-cycloalkanes-bicyclic", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes-cycloalkanes-bicyclic/", + "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes-cycloalkanes-bicyclic" + }, + "alkene-reactions": { + "slug": "alkene-reactions", + "hide": false, + "description": "In this tutorial, Sal introduces reaction mechanisms and demonstrates a few reactions of alkenes.", + "title": "Alkene reactions", + "kind": "Topic", + "id": "alkene-reactions", + "topic_page_url": "/science/organic-chemistry/alkenes-alkynes/alkene-reactions", + "path": "/science/organic-chemistry/alkenes-alkynes/alkene-reactions/", + "extended_slug": "science/organic-chemistry/alkenes-alkynes/alkene-reactions" + }, + "decimal_place_value": { + "slug": "decimal_place_value", + "hide": false, + "description": "You've been using decimals all of your life. When you pay $0.75 at a vending machine, 0.75 is a decimal. When you see the ratings of gymnastics judges at the Olympics (\"9.5, 9.4, 7.5 (booooo)\"), those are decimals. This tutorial will help you understand this powerful tool all the better. Before you know it, you'll be representing numbers that are in-between whole numbers all the time!", + "title": "Conceptualizing decimals and place notation", + "kind": "Topic", + "id": "decimal_place_value", + "topic_page_url": "/math/arithmetic/decimals/decimal_place_value", + "path": "/math/arithmetic/decimals/decimal_place_value/", + "extended_slug": "math/arithmetic/decimals/decimal_place_value" + }, + "quadratic_inequalities": { + "slug": "quadratic_inequalities", + "hide": false, + "description": "You are familiar with factoring quadratic expressions and solving quadratic equations. Well, as you might guess, not everything in life has to be equal.\n\nIn this short tutorial we will look at quadratic inequalities.", + "title": "Quadratic inequalities", + "kind": "Topic", + "id": "quadratic_inequalities", + "topic_page_url": "/math/algebra/quadratics/quadratic_inequalities", + "path": "/math/algebra/quadratics/quadratic_inequalities/", + "extended_slug": "math/algebra/quadratics/quadratic_inequalities" + }, + "deflation-tutorial": { + "slug": "deflation-tutorial", + "hide": false, + "description": "Prices don't always go up. They often go down. This might seem like a good thing, but it could be disastrous for a modern economy is it goes too far. This tutorial explains what deflation is, how it happens and what the effects of it might be.", + "title": "Deflation", + "kind": "Topic", + "id": "deflation-tutorial", + "topic_page_url": "/science/core-finance/inflation-tutorial/deflation-tutorial", + "path": "/science/core-finance/inflation-tutorial/deflation-tutorial/", + "extended_slug": "science/core-finance/inflation-tutorial/deflation-tutorial" + }, + "gdp-topic": { + "slug": "gdp-topic", + "hide": false, + "description": "Circular flow of income and expenditure. Gross domestic product.", + "title": "GDP - measuring national income", + "kind": "Topic", + "id": "gdp-topic", + "topic_page_url": "/science/macroeconomics/gdp-topic", + "path": "/science/macroeconomics/gdp-topic/", + "extended_slug": "science/macroeconomics/gdp-topic" + }, + "quasars": { + "slug": "quasars", + "hide": false, + "description": "Quasars are the brightest objects in the universe. The gamma rays from them could sterilize a solar system (i.e. obliterate life). What do we think these objects are? Why don't we see any close by (which we should be thankful for)? Could they tell us what our own galaxy may have been like 1 billion or so years ago?", + "title": "Quasars and galactive collisions", + "kind": "Topic", + "id": "quasars", + "topic_page_url": "/science/cosmology-and-astronomy/stellar-life-topic/quasars", + "path": "/science/cosmology-and-astronomy/stellar-life-topic/quasars/", + "extended_slug": "science/cosmology-and-astronomy/stellar-life-topic/quasars" + }, + "alkyne-reactions": { + "slug": "alkyne-reactions", + "hide": false, + "description": "In this tutorial, Jay shows the reactions of alkynes.", + "title": "Alkyne reactions", + "kind": "Topic", + "id": "alkyne-reactions", + "topic_page_url": "/science/organic-chemistry/alkenes-alkynes/alkyne-reactions", + "path": "/science/organic-chemistry/alkenes-alkynes/alkyne-reactions/", + "extended_slug": "science/organic-chemistry/alkenes-alkynes/alkyne-reactions" + }, + "compound_absolute_value_inequali": { + "slug": "compound_absolute_value_inequali", + "hide": false, + "description": "You're starting to get comfortable with a world where everything isn't equal. In this tutorial, we'll add more constraints to think of at the same time. You may not realize it, but the ability to understand and manipulate compound and absolute value inequalities is key to many areas of science, engineering, and manufacturing (especially when tolerances are concerned)!", + "title": "Compound and absolute value inequalities", + "kind": "Topic", + "id": "compound_absolute_value_inequali", + "topic_page_url": "/math/algebra/linear_inequalities/compound_absolute_value_inequali", + "path": "/math/algebra/linear_inequalities/compound_absolute_value_inequali/", + "extended_slug": "math/algebra/linear_inequalities/compound_absolute_value_inequali" + }, + "credit-default-swaps-tut": { + "slug": "credit-default-swaps-tut", + "hide": false, + "description": "", + "title": "Credit default swaps", + "kind": "Topic", + "id": "credit-default-swaps-tut", + "topic_page_url": "/finance-economics/core-finance/derivative-securities/credit-default-swaps-tut", + "path": "/science/core-finance/derivative-securities/credit-default-swaps-tut/", + "extended_slug": "finance-economics/core-finance/derivative-securities/credit-default-swaps-tut" + }, + "conics_precalc": { + "slug": "conics_precalc", + "hide": false, + "description": "A detailed look at shapes that are prevalent in science: conic sections", + "title": "Conic sections", + "kind": "Topic", + "id": "conics_precalc", + "topic_page_url": "/math/trigonometry/conics_precalc", + "path": "/math/trigonometry/conics_precalc/", + "extended_slug": "math/trigonometry/conics_precalc" + }, + "keynesian-thinking": { + "slug": "keynesian-thinking", + "hide": false, + "description": "Whether you love him or hate him (or just consider him a friend that you respect but disagree with every-now-and-then), Keynes has helped define how many modern governments think about their economies. This tutorial explains how his thinking was a fundamental departure from classical economics.", + "title": "Keynesian thinking", + "kind": "Topic", + "id": "keynesian-thinking", + "topic_page_url": "/science/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking/", + "extended_slug": "science/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking" + }, + "cellular-respiration": { + "slug": "cellular-respiration", + "hide": false, + "description": "", + "title": "Cellular respiration", + "kind": "Topic", + "id": "cellular-respiration", + "topic_page_url": "/science/biology/cellular-respiration", + "path": "/science/biology/cellular-respiration/", + "extended_slug": "science/biology/cellular-respiration" + }, + "seq_induction": { + "slug": "seq_induction", + "hide": false, + "description": "An assortment of concepts in math that help us deal with sequences and proofs.", + "title": "Sequences and induction", + "kind": "Topic", + "id": "seq_induction", + "topic_page_url": "/math/trigonometry/seq_induction", + "path": "/math/trigonometry/seq_induction/", + "extended_slug": "math/trigonometry/seq_induction" + }, + "info-theory": { + "slug": "info-theory", + "hide": false, + "description": "A story about human, animal and machine communication. A lesson by Brit Cruise", + "title": "Information Theory", + "kind": "Topic", + "id": "info-theory", + "topic_page_url": "/math/applied-math/info-theory", + "path": "/math/applied-math/info-theory/", + "extended_slug": "math/applied-math/info-theory" + }, + "old_angles": { + "slug": "old_angles", + "hide": false, + "description": "These are some of the classic, original angle video that Sal had done way back when (like 2007). Other tutorials are more polished than this one, but this one has charm. Also not bad if you're looking for more examples of angles between intersected lines, transversals and parallel lines.", + "title": "Sal's old angle videos", + "kind": "Topic", + "id": "old_angles", + "topic_page_url": "/math/geometry/parallel-and-perpendicular-lines/old_angles", + "path": "/math/geometry/parallel-and-perpendicular-lines/old_angles/", + "extended_slug": "math/geometry/parallel-and-perpendicular-lines/old_angles" + }, + "fractional-reserve-banking-tut": { + "slug": "fractional-reserve-banking-tut", + "hide": false, + "description": "Most modern economies use a counter-intuitive model of banking called \"fractional reserve banking.\" It is counter-intuitive (and some people would say wrong) because it allows banks to lend out money that it tells depositors is available at any time and essentially involves private banks in money creation. It also creates the possibility of mass instability through bank runs that tend to be mitigated through government regulation and insurance (some would say government subsidy of banks).\n\nThis tutorial explains how fractional reserve lending works and outlines the good and bad. It also talks about the alternative of full reserve banking.", + "title": "Fractional reserve banking", + "kind": "Topic", + "id": "fractional-reserve-banking-tut", + "topic_page_url": "/science/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut", + "path": "/science/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut/", + "extended_slug": "science/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut" + }, + "linear_inequalities": { + "slug": "linear_inequalities", + "hide": false, + "description": "Exploring a world where both sides aren't equal anymore!", + "title": "Linear inequalities", + "kind": "Topic", + "id": "linear_inequalities", + "topic_page_url": "/math/algebra/linear_inequalities", + "path": "/math/algebra/linear_inequalities/", + "extended_slug": "math/algebra/linear_inequalities" + }, + "greek-debt-crisis": { + "slug": "greek-debt-crisis", + "hide": false, + "description": "The Greek government incurred debt beyond its means but didn't have control over its own currency to inflate away its obligations. From austerity, to a bailout, to leaving the Eurozone, none of the options looked great.\n\nIn this tutorial, Sal walks through the situation Greece was in and its options (these videos were made as the crisis was unfolding).", + "title": "2011-2012 Greek Debt Crisis", + "kind": "Topic", + "id": "greek-debt-crisis", + "topic_page_url": "/science/core-finance/money-and-banking/greek-debt-crisis", + "path": "/science/core-finance/money-and-banking/greek-debt-crisis/", + "extended_slug": "science/core-finance/money-and-banking/greek-debt-crisis" + }, + "confidence-intervals": { + "slug": "confidence-intervals", + "hide": false, + "description": "We all have confidence intervals (\"I'm the king of the world!!!!\") and non-confidence intervals (\"No one loves me\"). That is not what this tutorial is about.\n\nThis tutorial takes what you already know about the central limit theorem, sampling distributions, and z-scores and uses these tools to dive into the world of inferential statistics. It may seem magical at first, but from our sample, we can now make inferences about the probability of our population mean actually being in an interval.", + "title": "Confidence intervals", + "kind": "Topic", + "id": "confidence-intervals", + "topic_page_url": "/math/probability/statistics/confidence-intervals", + "path": "/math/probability/statistics-inferential/confidence-intervals/", + "extended_slug": "math/probability/statistics/confidence-intervals" + }, + "biology": { + "slug": "biology", + "hide": false, + "description": "Covers topics seen in a first year college or high school biology course.", + "title": "Biology", + "kind": "Topic", + "id": "biology", + "topic_page_url": "/science/biology", + "path": "/science/biology/", + "extended_slug": "science/biology" + }, + "french-revolution-tutorial": { + "slug": "french-revolution-tutorial", + "hide": false, + "description": "\"Let them eat cake!\" \"No, how about we cut you head off instead!\" \n\nThe French Revolution was ugly, bloody and idealistic. This tutorial covers the beginning of the end of the Bourbon rule (actually doesn't really go away for 60 years) and birth of France as a Republic (which will really take about 80 years).", + "title": "French Revolution", + "kind": "Topic", + "id": "french-revolution-tutorial", + "topic_page_url": "/humanities/history/euro-hist/french-revolution-tutorial", + "path": "/humanities/history/euro-hist/french-revolution-tutorial/", + "extended_slug": "humanities/history/euro-hist/french-revolution-tutorial" + }, + "optical-activity": { + "slug": "optical-activity", + "hide": false, + "description": "In this tutorial, Jay explains the concept of optical activity and demonstrates how to calculate specific rotation and enantiomeric excess.", + "title": "Optical activity", + "kind": "Topic", + "id": "optical-activity", + "topic_page_url": "/science/organic-chemistry/stereochemistry-topic/optical-activity", + "path": "/science/organic-chemistry/stereochemistry-topic/optical-activity/", + "extended_slug": "science/organic-chemistry/stereochemistry-topic/optical-activity" + }, + "factoring_quadratics": { + "slug": "factoring_quadratics", + "hide": false, + "description": "Just saying the word \"quadratic\" will make you feel smart and powerful. Try it. Imagine how smart and powerful you would actually be if you know what a quadratic is. Even better, imagine being able to completely dominate these \"quadratics\" with new found powers of factorization. Well, dream no longer.\n\nThis tutorial will be super fun. Just bring to it your equation solving skills, your ability to multiply binomials and a non-linear way of thinking!", + "title": "Factoring quadratics", + "kind": "Topic", + "id": "factoring_quadratics", + "topic_page_url": "/math/algebra/quadratics/factoring_quadratics", + "path": "/math/algebra/quadratics/factoring_quadratics/", + "extended_slug": "math/algebra/quadratics/factoring_quadratics" + }, + "multi_digit_multiplication": { + "slug": "multi_digit_multiplication", + "hide": false, + "description": "You know your multiplication tables and are ready to learn how to multiply *any* number (actually, any whole number). Imagine the possibilities! This tutorial will make you unstoppable.", + "title": "Multi-digit multiplication", + "kind": "Topic", + "id": "multi_digit_multiplication", + "topic_page_url": "/math/arithmetic/multiplication-division/multi_digit_multiplication", + "path": "/math/arithmetic/multiplication-division/multi_digit_multiplication/", + "extended_slug": "math/arithmetic/multiplication-division/multi_digit_multiplication" + }, + "multiplying_and_dividing_frac": { + "slug": "multiplying_and_dividing_frac", + "hide": false, + "description": "What is 2/3 of 2/3? If I divide a dozen donuts into donut thirds, how many donut pieces will I have?\n\nMultiplying and dividing fractions is not only super-useful, but super-fun as well.", + "title": "Multiplying and dividing fractions", + "kind": "Topic", + "id": "multiplying_and_dividing_frac", + "topic_page_url": "/math/arithmetic/fractions/multiplying_and_dividing_frac", + "path": "/math/arithmetic/fractions/multiplying_and_dividing_frac/", + "extended_slug": "math/arithmetic/fractions/multiplying_and_dividing_frac" + }, + "laplace-transform": { + "slug": "laplace-transform", + "hide": false, + "description": "Transforms and the Laplace transform in particular. Convolution integrals.", + "title": "Laplace transform", + "kind": "Topic", + "id": "laplace-transform", + "topic_page_url": "/math/differential-equations/laplace-transform", + "path": "/math/differential-equations/laplace-transform/", + "extended_slug": "math/differential-equations/laplace-transform" + }, + "radical-radicals": { + "slug": "radical-radicals", + "hide": false, + "description": "A strong contender for coolest symbol in mathematics is the radical. What is it? How does it relate to exponents? How is the square root different than the cube root? How can I simplify, multiply and add these things? \n\nThis tutorial assumes you know the basics of exponents and exponent properties and takes you through the radical world for radicals (and gives you some good practice along the way)!", + "title": "Radical radicals", + "kind": "Topic", + "id": "radical-radicals", + "topic_page_url": "/math/arithmetic/exponents-radicals/radical-radicals", + "path": "/math/arithmetic/exponents-radicals/radical-radicals/", + "extended_slug": "math/arithmetic/exponents-radicals/radical-radicals" + }, + "limit_topic_precalc": { + "slug": "limit_topic_precalc", + "hide": false, + "description": "Preview of the calculus topic of limits", + "title": "Limits", + "kind": "Topic", + "id": "limit_topic_precalc", + "topic_page_url": "/math/trigonometry/limit_topic_precalc", + "path": "/math/trigonometry/limit_topic_precalc/", + "extended_slug": "math/trigonometry/limit_topic_precalc" + }, + "naming-alkanes": { + "slug": "naming-alkanes", + "hide": false, + "description": "In this tutorial, Sal shows how to name alkanes.", + "title": "Naming alkanes", + "kind": "Topic", + "id": "naming-alkanes", + "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/", + "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes" + }, + "inverting_matrices": { + "slug": "inverting_matrices", + "hide": false, + "description": "Multiplying by the inverse of a matrix is the closest thing we have to matrix division. Like multiplying a regular number by its reciprocal to get 1, multiplying a matrix by its inverse gives us the identity matrix (1 could be thought of as the \"identity scalar\").\n\nThis tutorial will walk you through this sometimes involved process which will become bizarrely fun once you get the hang of it.", + "title": "Inverting matrices", + "kind": "Topic", + "id": "inverting_matrices", + "topic_page_url": "/math/algebra/algebra-matrices/inverting_matrices", + "path": "/math/algebra/algebra-matrices/inverting_matrices/", + "extended_slug": "math/algebra/algebra-matrices/inverting_matrices" + }, + "forces-newtons-laws": { + "slug": "forces-newtons-laws", + "hide": false, + "description": "This tutorial is the meat of much of classical physics. We think about what a force is and how Newton changed the world's (and possibly your) view of how reality works.", + "title": "Forces and Newton's Laws of Motion", + "kind": "Topic", + "id": "forces-newtons-laws", + "topic_page_url": "/science/physics/forces-newtons-laws", + "path": "/science/physics/forces-newtons-laws/", + "extended_slug": "science/physics/forces-newtons-laws" + }, + "blood-pressure": { + "slug": "blood-pressure", + "hide": false, + "description": "Learn about blood pressure and how we measure it. Take a deeper dive and find out how blood pressure is related to resistance and flow!", + "title": "Blood Pressure", + "kind": "Topic", + "id": "blood-pressure", + "topic_page_url": "/science/healthcare-and-medicine/blood-pressure", + "path": "/science/healthcare-and-medicine/blood-pressure/", + "extended_slug": "science/healthcare-and-medicine/blood-pressure" + }, + "2d_divergence_theorem": { + "slug": "2d_divergence_theorem", + "hide": false, + "description": "Using Green's theorem (which you should already be familiar with) to establish that the \"flux\" through the boundary of a region is equal to the double integral of the divergence over the region. We'll also talk about why this makes conceptual sense.", + "title": "2-D Divergence theorem", + "kind": "Topic", + "id": "2d_divergence_theorem", + "topic_page_url": "/math/calculus/line_integrals_topic/2d_divergence_theorem", + "path": "/math/calculus/line_integrals_topic/2d_divergence_theorem/", + "extended_slug": "math/calculus/line_integrals_topic/2d_divergence_theorem" + }, + "hookes-law": { + "slug": "hookes-law", + "hide": false, + "description": "Weighing machines of all sorts employ springs that take a certain amount of force to keep compressed or stretched to a certain point. Hooke's law will give us all the tools to weigh in on the subject ourselves and spring into action (yes, the puns are annoying us too)!", + "title": "Springs and Hooke's Law", + "kind": "Topic", + "id": "hookes-law", + "topic_page_url": "/science/physics/work-and-energy/hookes-law", + "path": "/science/physics/work-and-energy/hookes-law/", + "extended_slug": "science/physics/work-and-energy/hookes-law" + }, + "ap_calc_topic": { + "slug": "ap_calc_topic", + "hide": false, + "description": "Sample questions from the A.P. Calculus AB and BC exams (both multiple choice and free answer).", + "title": "AP Calculus practice questions", + "kind": "Topic", + "id": "ap_calc_topic", + "topic_page_url": "/math/calculus/ap_calc_topic", + "path": "/math/calculus/ap_calc_topic/", + "extended_slug": "math/calculus/ap_calc_topic" + }, + "graphs": { + "slug": "graphs", + "hide": false, + "description": "Thinking about graphing on a coordinate plane, slope and other analytic geometry.", + "title": "Graphing lines", + "kind": "Topic", + "id": "graphs", + "topic_page_url": "/math/trigonometry/graphs", + "path": "/math/trigonometry/graphs/", + "extended_slug": "math/trigonometry/graphs" + }, + "quadrilaterals-and-polygons": { + "slug": "quadrilaterals-and-polygons", + "hide": false, + "description": "Not all things with four sides have to be squares or rectangles! We will now broaden our understanding of quadrilaterals!", + "title": "Quadrilaterals", + "kind": "Topic", + "id": "quadrilaterals-and-polygons", + "topic_page_url": "/math/geometry/quadrilaterals-and-polygons", + "path": "/math/geometry/quadrilaterals-and-polygons/", + "extended_slug": "math/geometry/quadrilaterals-and-polygons" + }, + "financial-statements-tutorial": { + "slug": "financial-statements-tutorial", + "hide": false, + "description": "Corporations use three financial statements to report what's going on: balance sheets, cash flow statements and income statements. They can be derived from each other and each give a valuable lens on the operations and condition of a business. \n\nAfter you know the basics of accrual accounting (available in another tutorial), this tutorial will give you tools you need to responsibly understand any business.", + "title": "Three core financial statements", + "kind": "Topic", + "id": "financial-statements-tutorial", + "topic_page_url": "/science/core-finance/accounting-and-financial-stateme/financial-statements-tutorial", + "path": "/science/core-finance/accounting-and-financial-stateme/financial-statements-tutorial/", + "extended_slug": "science/core-finance/accounting-and-financial-stateme/financial-statements-tutorial" + }, + "convolution-integral": { + "slug": "convolution-integral", + "hide": false, + "description": "This tutorial won't be as convoluted as you might suspect. We'll see what multiplying transforms in the s-domain give us in the time domain.", + "title": "The convolution integral", + "kind": "Topic", + "id": "convolution-integral", + "topic_page_url": "/math/differential-equations/laplace-transform/convolution-integral", + "path": "/math/differential-equations/laplace-transform/convolution-integral/", + "extended_slug": "math/differential-equations/laplace-transform/convolution-integral" + }, + "physics": { + "slug": "physics", + "hide": false, + "description": "Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.", + "title": "Physics", + "kind": "Topic", + "id": "physics", + "topic_page_url": "/science/physics", + "path": "/science/physics/", + "extended_slug": "science/physics" + }, + "applied-math": { + "slug": "applied-math", + "hide": false, + "description": "The branches of mathematics that are involved in the study of the physical or biological or sociological world.", + "title": "Applied Math", + "kind": "Topic", + "id": "applied-math", + "topic_page_url": "/math/applied-math", + "path": "/math/applied-math/", + "extended_slug": "math/applied-math" + }, + "asymptotes-graphing-rational": { + "slug": "asymptotes-graphing-rational", + "hide": false, + "description": "", + "title": "Asymptotes and graphing rational functions", + "kind": "Topic", + "id": "asymptotes-graphing-rational", + "topic_page_url": "/math/trigonometry/polynomial_and_rational/asymptotes-graphing-rational", + "path": "/math/trigonometry/polynomial_and_rational/asymptotes-graphing-rational/", + "extended_slug": "math/trigonometry/polynomial_and_rational/asymptotes-graphing-rational" + }, + "orthogonal_projections": { + "slug": "orthogonal_projections", + "hide": false, + "description": "This is one of those tutorials that bring many ideas we've been building together into something applicable. Orthogonal projections (which can sometimes be conceptualized as a \"vector's shadow\" on a subspace if the light source is above it) can be used in fields varying from computer graphics and statistics!\n\nIf you're familiar with orthogonal complements, then you're ready for this tutorial!", + "title": "Orthogonal projections", + "kind": "Topic", + "id": "orthogonal_projections", + "topic_page_url": "/math/linear-algebra/alternate_bases/orthogonal_projections", + "path": "/math/linear-algebra/alternate_bases/orthogonal_projections/", + "extended_slug": "math/linear-algebra/alternate_bases/orthogonal_projections" + }, + "seismic-waves-tutorial": { + "slug": "seismic-waves-tutorial", + "hide": false, + "description": "How do we know what the Earth is made up of? Has someone dug to the core? No, but we humans have been able to see how earth quake (seismic) waves have been bent and reflected through our plant to get a reasonable idea of what is down there.", + "title": "Seismic waves and how we know Earth's structure", + "kind": "Topic", + "id": "seismic-waves-tutorial", + "topic_page_url": "/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial", + "path": "/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial/", + "extended_slug": "science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial" + }, + "place_value": { + "slug": "place_value", + "hide": false, + "description": "You've been counting for a while now. It's second nature to go from \"9\" to \"10\" or \"99\" to \"100\", but what are you really doing when you add another digit? How do we represent so many numbers (really as many as we want) with only 10 number symbols (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)?\n\nIn this tutorial you'll learn about place value. This is key to better understanding what you're really doing when you count, carry, regroup, multiply and divide with mult-digit numbers. If you really think about it, it might change your worldview forever!", + "title": "Place value", + "kind": "Topic", + "id": "place_value", + "topic_page_url": "/math/arithmetic/multiplication-division/place_value", + "path": "/math/arithmetic/multiplication-division/place_value/", + "extended_slug": "math/arithmetic/multiplication-division/place_value" + }, + "parametric_equations": { + "slug": "parametric_equations", + "hide": false, + "description": "An alternative to Cartesian coordinates.", + "title": "Parametric equations and polar coordinates", + "kind": "Topic", + "id": "parametric_equations", + "topic_page_url": "/math/trigonometry/parametric_equations", + "path": "/math/trigonometry/parametric_equations/", + "extended_slug": "math/trigonometry/parametric_equations" + }, + "telling-time": { + "slug": "telling-time", + "hide": false, + "description": "", + "title": "Telling time", + "kind": "Topic", + "id": "telling-time", + "topic_page_url": "/math/arithmetic/telling-time/e", + "path": "/math/arithmetic/telling-time/", + "extended_slug": "math/arithmetic/telling-time" + }, + "partial-fraction-expan-alg": { + "slug": "partial-fraction-expan-alg", + "hide": false, + "description": "If you add several rational expressions with lower degree denominator, you are likely to get a sum with a higher degree denominator (which is the least-common multiple of the lower-degree ones). This tutorial lets us think about going the other way--start with a rational expression with a higher degree denominator and break it up as the sum of simpler rational expressions.", + "title": "Partial fraction expansion", + "kind": "Topic", + "id": "partial-fraction-expan-alg", + "topic_page_url": "/math/algebra/rational-expressions/partial-fraction-expan-alg", + "path": "/math/algebra/rational-expressions/partial-fraction-expan-alg/", + "extended_slug": "math/algebra/rational-expressions/partial-fraction-expan-alg" + }, + "less-basic-trigonometry": { + "slug": "less-basic-trigonometry", + "hide": false, + "description": "", + "title": "Trig identities and examples", + "kind": "Topic", + "id": "less-basic-trigonometry", + "topic_page_url": "/math/trigonometry/less-basic-trigonometry", + "path": "/math/trigonometry/less-basic-trigonometry/", + "extended_slug": "math/trigonometry/less-basic-trigonometry" + }, + "linear_transformations": { + "slug": "linear_transformations", + "hide": false, + "description": "People have been telling you forever that linear algebra and matrices are useful for modeling, simulations and computer graphics, but it has been a little non-obvious. This tutorial will start to draw the lines by re-introducing you functions (a bit more rigor than you may remember from high school) and linear functions/transformations in particular.", + "title": "Functions and linear transformations", + "kind": "Topic", + "id": "linear_transformations", + "topic_page_url": "/math/linear-algebra/matrix_transformations/linear_transformations", + "path": "/math/linear-algebra/matrix_transformations/linear_transformations/", + "extended_slug": "math/linear-algebra/matrix_transformations/linear_transformations" + }, + "acids-and-bases": { + "slug": "acids-and-bases", + "hide": false, + "description": "", + "title": "Acids and bases", + "kind": "Topic", + "id": "acids-and-bases", + "topic_page_url": "/science/chemistry/acids-and-bases", + "path": "/science/chemistry/acids-and-bases/", + "extended_slug": "science/chemistry/acids-and-bases" + }, + "dependent_events_precalc": { + "slug": "dependent_events_precalc", + "hide": false, + "description": "What's the probability of picking two \"e\" from the bag in scrabble (assuming that I don't replace the tiles). Well, the probability of picking an 'e' on your second try depends on what happened in the first (if you picked an 'e' the first time around, then there is one less 'e' in the bag). This is just one of many, many type of scenarios involving dependent probability.", + "title": "Dependent events", + "kind": "Topic", + "id": "dependent_events_precalc", + "topic_page_url": "/math/trigonometry/prob_comb/dependent_events_precalc", + "path": "/math/trigonometry/prob_comb/dependent_events_precalc/", + "extended_slug": "math/trigonometry/prob_comb/dependent_events_precalc" + }, + "nash-eq-tutorial": { + "slug": "nash-eq-tutorial", + "hide": false, + "description": "If you haven't watched the movie \"A Beautiful Mind\", you should. It is about John Nash (played by Russell Crowe) who won the Nobel Prize in economics for his foundational contributions to game theory. This is what this tutorial is about.\n\nNash put some structure around how players in a \"game\" can optimize their outcomes (if the movie is to be fully believed, this insight struck him when he realize that if all his friends hit on the most pretty girl, he should hit on the second-most pretty one). In this tutorial, we use the classic \"prisoner's dilemma\" to highlight this concept.", + "title": "Nash equilibrium", + "kind": "Topic", + "id": "nash-eq-tutorial", + "topic_page_url": "/science/microeconomics/nash-equilibrium-tutorial/nash-eq-tutorial", + "path": "/science/microeconomics/nash-equilibrium-tutorial/nash-eq-tutorial/", + "extended_slug": "science/microeconomics/nash-equilibrium-tutorial/nash-eq-tutorial" + }, + "exponent-expressions-equations": { + "slug": "exponent-expressions-equations", + "hide": false, + "description": "", + "title": "Exponent expressions and equations", + "kind": "Topic", + "id": "exponent-expressions-equations", + "topic_page_url": "/math/arithmetic/exponents-radicals/exponent-expressions-equations/e", + "path": "/math/arithmetic/exponents-radicals/exponent-expressions-equations/", + "extended_slug": "math/arithmetic/exponents-radicals/exponent-expressions-equations" + }, + "amines-substitution-reactions": { + "slug": "amines-substitution-reactions", + "hide": false, + "description": "In this tutorial, Sal shows amines acting as nucleophiles in SN1 and SN2 reactions.", + "title": "Amines in reactions", + "kind": "Topic", + "id": "amines-substitution-reactions", + "topic_page_url": "/science/organic-chemistry/amines-topic/amines-substitution-reactions", + "path": "/science/organic-chemistry/amines-topic/amines-substitution-reactions/", + "extended_slug": "science/organic-chemistry/amines-topic/amines-substitution-reactions" + }, + "cepheid-variables": { + "slug": "cepheid-variables", + "hide": false, + "description": "Stellar parallax can be used for \"nearby\" stars, but what if we want to measure further out? Well this tutorial will expose you to a class of stars that helps us do this. Cepheids are large, bright, variable stars that are visible in other galaxies. We know how bright they should be and can gauge how far they are by how bright they look to us.", + "title": "Cepheid variables", + "kind": "Topic", + "id": "cepheid-variables", + "topic_page_url": "/science/cosmology-and-astronomy/stellar-life-topic/cepheid-variables", + "path": "/science/cosmology-and-astronomy/stellar-life-topic/cepheid-variables/", + "extended_slug": "science/cosmology-and-astronomy/stellar-life-topic/cepheid-variables" + }, + "balanced-unbalanced-forces": { + "slug": "balanced-unbalanced-forces", + "hide": false, + "description": "You will often hear physics professors be careful to say \"net force\" or \"unbalanced force\" rather than just \"force\". Why? This tutorial explains why and might give you more intuition about Newton's laws in the process.", + "title": "Balanced and unbalanced forces", + "kind": "Topic", + "id": "balanced-unbalanced-forces", + "topic_page_url": "/science/physics/forces-newtons-laws/balanced-unbalanced-forces", + "path": "/science/physics/forces-newtons-laws/balanced-unbalanced-forces/", + "extended_slug": "science/physics/forces-newtons-laws/balanced-unbalanced-forces" + }, + "determinant_depth": { + "slug": "determinant_depth", + "hide": false, + "description": "In the last tutorial on matrix inverses, we first defined what a determinant is and gave several examples of computing them. In this tutorial we go deeper. We will explore what happens to the determinant under several circumstances and conceptualize it in several ways.", + "title": "More determinant depth", + "kind": "Topic", + "id": "determinant_depth", + "topic_page_url": "/math/linear-algebra/matrix_transformations/determinant_depth", + "path": "/math/linear-algebra/matrix_transformations/determinant_depth/", + "extended_slug": "math/linear-algebra/matrix_transformations/determinant_depth" + }, + "test-prep": { + "slug": "test-prep", + "hide": false, + "description": null, + "title": "Test Prep", + "kind": "Topic", + "id": "test-prep", + "topic_page_url": null, + "path": "/test-prep/", + "extended_slug": "test-prep" + }, + "solid_revolution_topic": { + "slug": "solid_revolution_topic", + "hide": false, + "description": "Using definite integrals with the shell and disc methods to find volumes of solids of revolution.", + "title": "Solid of revolution", + "kind": "Topic", + "id": "solid_revolution_topic", + "topic_page_url": "/math/calculus/solid_revolution_topic", + "path": "/math/calculus/solid_revolution_topic/", + "extended_slug": "math/calculus/solid_revolution_topic" + }, + "solving_graphing_quadratics": { + "slug": "solving_graphing_quadratics", + "hide": false, + "description": "Tired of lines? Not sure if a parabola is a disease of the gut or a new mode of transportation? Ever wondered what would happen to the graph of a function if you stuck an x\u00b2 someplace? Well, look no further.\n\nIn this tutorial, we will study the graphs of quadratic functions (parabolas), including their foci and whatever the plural of directrix is.", + "title": "Graphing quadratics", + "kind": "Topic", + "id": "solving_graphing_quadratics", + "topic_page_url": "/math/trigonometry/polynomial_and_rational/solving_graphing_quadratics", + "path": "/math/trigonometry/polynomial_and_rational/solving_graphing_quadratics/", + "extended_slug": "math/trigonometry/polynomial_and_rational/solving_graphing_quadratics" + }, + "measuring-age-tutorial": { + "slug": "measuring-age-tutorial", + "hide": false, + "description": "Geologists and archaeologists will tell you how old things are or when they happened, but how do they know? This tutorial answers this question by covering some of the primary techniques of \"dating\" (not in the romantic sense).", + "title": "Measuring age on Earth", + "kind": "Topic", + "id": "measuring-age-tutorial", + "topic_page_url": "/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial", + "path": "/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/", + "extended_slug": "science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial" + }, + "decimals_fractions": { + "slug": "decimals_fractions", + "hide": false, + "description": "If you already know a bit about both decimals and fractions, this tutorial will help build a bridge between the two. Through a bunch of examples and practice, you'll be able operate in both worlds. Have fun!", + "title": "Decimals and fractions", + "kind": "Topic", + "id": "decimals_fractions", + "topic_page_url": "/math/arithmetic/fractions/decimals_fractions", + "path": "/math/arithmetic/fractions/decimals_fractions/", + "extended_slug": "math/arithmetic/fractions/decimals_fractions" + }, + "average-costs-margin-rev": { + "slug": "average-costs-margin-rev", + "hide": false, + "description": "In this tutorial, Sal uses the example of an orange juice business to help us understand the ideas of average total cost (ATC), marginal cost (MC) and marginal revenue (MR). We then use this understanding to answer the age-old question, \"how much orange juice should I produce?\" Finally, we use these ideas to construct a long-run supply curve. A must watch if you're interested in making juice!", + "title": "Average costs (ATC, MC) and marginal revenue (MR)", + "kind": "Topic", + "id": "average-costs-margin-rev", + "topic_page_url": "/science/microeconomics/firm-economic-profit/average-costs-margin-rev", + "path": "/science/microeconomics/firm-economic-profit/average-costs-margin-rev/", + "extended_slug": "science/microeconomics/firm-economic-profit/average-costs-margin-rev" + }, + "cs-exercises": { + "slug": "cs-exercises", + "hide": false, + "description": "", + "title": "CS Exercises", + "kind": "Topic", + "id": "cs-exercises", + "topic_page_url": "/science/cs-exercises/e", + "path": "/science/cs-exercises/", + "extended_slug": "science/cs-exercises" + }, + "brain-teasers": { + "slug": "brain-teasers", + "hide": false, + "description": "Random logic puzzles and brain teasers. Fun to do and useful for many job interviews!", + "title": "Brain Teasers", + "kind": "Topic", + "id": "brain-teasers", + "topic_page_url": "/math/brain-teasers", + "path": "/math/brain-teasers/", + "extended_slug": "math/brain-teasers" + }, + "momentum-tutorial": { + "slug": "momentum-tutorial", + "hide": false, + "description": "Depending on your view of things, this may be the most violent of our tutorials. Things will crash and collide. We'll learn about momentum and how it is transferred. Whether you're playing pool (or \"billiards\") or deciding whether you want to get tackled by the 300lb. guy, this tutorial is of key importance.", + "title": "Momentum", + "kind": "Topic", + "id": "momentum-tutorial", + "topic_page_url": "/science/physics/linear-momentum/momentum-tutorial", + "path": "/science/physics/linear-momentum/momentum-tutorial/", + "extended_slug": "science/physics/linear-momentum/momentum-tutorial" + }, + "many-french-revolutions": { + "slug": "many-french-revolutions", + "hide": false, + "description": "Unlike the American Revolution which fairly cleanly transitioned the United States from British rule to a republic, France's process of democratization was much longer and more painful. This tutorial gives a scaffold of that (and gives some context for the book/play/movie \"Les Miserables\").", + "title": "France's many revolutions and republics", + "kind": "Topic", + "id": "many-french-revolutions", + "topic_page_url": "/humanities/history/euro-hist/many-french-revolutions", + "path": "/humanities/history/euro-hist/many-french-revolutions/", + "extended_slug": "humanities/history/euro-hist/many-french-revolutions" + }, + "acceleration_tutorial": { + "slug": "acceleration_tutorial", + "hide": false, + "description": "In a world full of unbalanced forces (which you learn more about when you study Newton's laws), you will have acceleration (which is the rate in change of velocity). Whether you're thinking about how fast a Porsche can get to 60mph or how long it takes for a passenger plane to get to the necessary speed for flight, this tutorial will help.", + "title": "Acceleration", + "kind": "Topic", + "id": "acceleration_tutorial", + "topic_page_url": "/science/physics/one-dimensional-motion/acceleration_tutorial", + "path": "/science/physics/one-dimensional-motion/acceleration_tutorial/", + "extended_slug": "science/physics/one-dimensional-motion/acceleration_tutorial" + }, + "intro_euclid": { + "slug": "intro_euclid", + "hide": false, + "description": "Roughly 2400 years ago, Euclid of Alexandria wrote Elements which served as the world's geometry textbook until recently. Studied by Abraham Lincoln in order to sharpen his mind and truly appreciate mathematical deduction, it is still the basis of what we consider a first year course in geometry.\n\nThis tutorial gives a bit of this background and then lays the conceptual foundation of points, lines, circles and planes that we will use as we journey through the world of Euclid.", + "title": "Introduction to Euclidean geometry", + "kind": "Topic", + "id": "intro_euclid", + "topic_page_url": "/math/geometry/segments-and-angles/intro_euclid", + "path": "/math/geometry/segments-and-angles/intro_euclid/", + "extended_slug": "math/geometry/segments-and-angles/intro_euclid" + }, + "addition-reactions-conjugated-dienes": { + "slug": "addition-reactions-conjugated-dienes", + "hide": false, + "description": "In this tutorial, Jay shows the possible products for an addition to a conjugated diene and how the end product can be controlled by changing the reaction conditions.", + "title": "Addition reactions of conjugated dienes", + "kind": "Topic", + "id": "addition-reactions-conjugated-dienes", + "topic_page_url": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/addition-reactions-conjugated-dienes", + "path": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/addition-reactions-conjugated-dienes/", + "extended_slug": "science/organic-chemistry/conjugation-diels-alder-mo-theory/addition-reactions-conjugated-dienes" + }, + "der_common_functions": { + "slug": "der_common_functions", + "hide": false, + "description": "The first video in this tutorial starts off strangely with an example of the quotient rule (which this tutorial is not about), but that video then goes into the derivatives of several functions that show up a lot in mathematics: sin(x), cos(x), e^x, and ln(x). It then goes on to prove that the derivative really are what we claim them to be. Have fun!", + "title": "Derivatives of common functions", + "kind": "Topic", + "id": "der_common_functions", + "topic_page_url": "/math/calculus/differential-calculus/der_common_functions", + "path": "/math/calculus/differential-calculus/der_common_functions/", + "extended_slug": "math/calculus/differential-calculus/der_common_functions" + }, + "mortgages-tutorial": { + "slug": "mortgages-tutorial", + "hide": false, + "description": "Most people buying a home need a mortgage to do so. This tutorial explains what a mortgage is and then actually does some math to figure out what your payments are (the last video is quite mathy so consider it optional).", + "title": "Mortgages", + "kind": "Topic", + "id": "mortgages-tutorial", + "topic_page_url": "/science/core-finance/housing/mortgages-tutorial", + "path": "/science/core-finance/housing/mortgages-tutorial/", + "extended_slug": "science/core-finance/housing/mortgages-tutorial" + }, + "lhopital_rule": { + "slug": "lhopital_rule", + "hide": false, + "description": "Limits have done their part helping to find derivatives. Now, under the guidance of l'H\u00f4pital's rule, derivatives are looking to show their gratitude by helping to find limits. Ever try to evaluate a function at a point and get 0/0 or infinity/infinity? Well, that's a big clue that l'Hopital's rule can help you find the limit of the function at that point.", + "title": "L'H\u00f4pital's Rule", + "kind": "Topic", + "id": "lhopital_rule", + "topic_page_url": "/math/calculus/derivative_applications/lhopital_rule", + "path": "/math/calculus/derivative_applications/lhopital_rule/", + "extended_slug": "math/calculus/derivative_applications/lhopital_rule" + }, + "partial_derivatives": { + "slug": "partial_derivatives", + "hide": false, + "description": "Let's jump out of that boring (okay, it wasn't THAT boring) 2-D world into the exciting 3-D world that we all live and breath in. Instead of functions of x that can be visualized as lines, we can have functions of x and y that can be visualized as surfaces. But does the idea of a derivative still make sense? Of course it does! As long as you specify what direction you're going in. Welcome to the world of partial derivatives!", + "title": "Partial derivatives", + "kind": "Topic", + "id": "partial_derivatives", + "topic_page_url": "/math/calculus/partial_derivatives_topic/partial_derivatives", + "path": "/math/calculus/partial_derivatives_topic/partial_derivatives/", + "extended_slug": "math/calculus/partial_derivatives_topic/partial_derivatives" + }, + "nerve-regulation-of-the-heart": { + "slug": "nerve-regulation-of-the-heart", + "hide": false, + "description": "Learn how the sympathetic and parasympathetic nerves regulate your heart in so many different ways!", + "title": "Nerve Regulation of the Heart", + "kind": "Topic", + "id": "nerve-regulation-of-the-heart", + "topic_page_url": "/science/healthcare-and-medicine/nerve-regulation-of-the-heart", + "path": "/science/healthcare-and-medicine/nerve-regulation-of-the-heart/", + "extended_slug": "science/healthcare-and-medicine/nerve-regulation-of-the-heart" + }, + "systems-with-substitution": { + "slug": "systems-with-substitution", + "hide": false, + "description": "This tutorial is focused on solving systems through substitution. This is covered in several other tutorials, but this one focuses on substitution with more examples than you can shake a dog at. As always, pause the video and try to solve before Sal does.", + "title": "Solving systems with substitution", + "kind": "Topic", + "id": "systems-with-substitution", + "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/systems-with-substitution", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/", + "extended_slug": "math/algebra/systems-of-eq-and-ineq/systems-with-substitution" + }, + "systems-of-eq-overview": { + "slug": "systems-of-eq-overview", + "hide": false, + "description": "Whether in the real world or a cliche fantasy one, systems of equations are key to solving super-important issues like \"the make-up of change in a troll's pocket\" or \"how can order the right amount of potato chips for a King's party.\" Join us as we cover (and practice with examples and exercises) all of the major ways of solving a system: graphically, elimination, and substitution. This tutorial will also help you think about when system might have no solution or an infinite number of solutions. Very, very exciting stuff!", + "title": "A system for solving the King's problems", + "kind": "Topic", + "id": "systems-of-eq-overview", + "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/", + "extended_slug": "math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview" + }, + "taxes": { + "slug": "taxes", + "hide": false, + "description": "Benjamin Franklin (and several other writers/philosophers) tells us that \"In this world nothing can be said to be certain, except death and taxes.\" He's right. \n\nThis tutorial focus on personal income tax. Very important to watch if you ever plan on earning money (some of which the government will take for itself).", + "title": "Personal taxes", + "kind": "Topic", + "id": "taxes", + "topic_page_url": "/science/core-finance/taxes-topic/taxes", + "path": "/science/core-finance/taxes-topic/taxes/", + "extended_slug": "science/core-finance/taxes-topic/taxes" + }, + "implicit_differentiation": { + "slug": "implicit_differentiation", + "hide": false, + "description": "Like people, mathematical relations are not always explicit about their intentions. In this tutorial, we'll be able to take the derivative of one variable with respect to another even when they are implicitly defined (like \"x^2 + y^2 = 1\").", + "title": "Implicit differentiation", + "kind": "Topic", + "id": "implicit_differentiation", + "topic_page_url": "/math/calculus/differential-calculus/implicit_differentiation", + "path": "/math/calculus/differential-calculus/implicit_differentiation/", + "extended_slug": "math/calculus/differential-calculus/implicit_differentiation" + }, + "slope-and-intercepts": { + "slug": "slope-and-intercepts", + "hide": false, + "description": "If you've ever struggled to tell someone just how steep something is, you'll find the answer here. In this tutorial, we cover the idea of the slope of a line. We also think about how slope relates to the equation of a line and how you can determine the slope or y-intercept given some clues.\n\nThis tutorial is appropriate for someone who understands the basics of graphing equations and want to dig a bit deeper. After this tutorial, you will be prepared to start thinking deeper about the equation of a line.", + "title": "Slope", + "kind": "Topic", + "id": "slope-and-intercepts", + "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts", + "path": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/", + "extended_slug": "math/algebra/linear-equations-and-inequalitie/slope-and-intercepts" + }, + "venture-capital-and-capital-markets": { + "slug": "venture-capital-and-capital-markets", + "hide": false, + "description": "This is an old set of videos, but if you put up with Sal's messy handwriting (it has since improved) and spotty sound, there is a lot to be learned here. In particular, this tutorial walks through starting, financing and taking public a company (and even talks about what happens if it has trouble paying its debts).", + "title": "Life of a company--from birth to death", + "kind": "Topic", + "id": "venture-capital-and-capital-markets", + "topic_page_url": "/science/core-finance/stock-and-bonds/venture-capital-and-capital-markets", + "path": "/science/core-finance/stock-and-bonds/venture-capital-and-capital-markets/", + "extended_slug": "science/core-finance/stock-and-bonds/venture-capital-and-capital-markets" + }, + "equations_beginner": { + "slug": "equations_beginner", + "hide": false, + "description": "Like the \"Why of algebra\" and \"Super Yoga plans\" tutorials, we'll introduce you to the most fundamental ideas of what equations mean and how to solve them. We'll then do a bunch of examples to make sure you're comfortable with things like 3x \u2013 7 = 8. So relax, grab a cup of hot chocolate, and be on your way to becoming an algebra rockstar.\n\nAnd, by the way, in any of the \"example\" videos, try to solve the problem on your own before seeing how Sal does it. It makes the learning better!", + "title": "Equations for beginners", + "kind": "Topic", + "id": "equations_beginner", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/equations_beginner" + }, + "conic_ellipses": { + "slug": "conic_ellipses", + "hide": false, + "description": "What would you call a circle that isn't a circle? One that is is is taller or fatter rather than being perfectly round? An ellipse. (All circles are special cases of ellipses.)\n\nIn this tutorial we go deep into the equations and graphs of ellipses.", + "title": "Ellipses", + "kind": "Topic", + "id": "conic_ellipses", + "topic_page_url": "/math/algebra/conic-sections/conic_ellipses", + "path": "/math/algebra/conic-sections/conic_ellipses/", + "extended_slug": "math/algebra/conic-sections/conic_ellipses" + }, + "limits_tutorial": { + "slug": "limits_tutorial", + "hide": false, + "description": "Limits are the core tool that we build upon for calculus. Many times, a function can be undefined at a point, but we can thinking about what the function \"approaches\" as it gets closer and closer to that point (this is the \"limit\"). Other times, the function may be defined at a point, but it may approach a different limit. There are many, many times where the function value is the same as the limit at a point. Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve.\n\nIf you have a decent background in algebra (graphing and functions in particular), you'll hopefully enjoy this tutorial!", + "title": "Limits", + "kind": "Topic", + "id": "limits_tutorial", + "topic_page_url": "/math/calculus/limits_topic/limits_tutorial", + "path": "/math/calculus/limits_topic/limits_tutorial/", + "extended_slug": "math/calculus/limits_topic/limits_tutorial" + }, + "natural_logarithm": { + "slug": "natural_logarithm", + "hide": false, + "description": "e is a special number that shows up throughout nature (you will appreciate this more and more as you develop your mathematical understanding). Given this, logarithms with base e have a special name--natural logarithms. In this tutorial, we will learn to evaluate and graph this special function.", + "title": "Natural logarithms", + "kind": "Topic", + "id": "natural_logarithm", + "topic_page_url": "/math/algebra/logarithms-tutorial/natural_logarithm", + "path": "/math/algebra/logarithms-tutorial/natural_logarithm/", + "extended_slug": "math/algebra/logarithms-tutorial/natural_logarithm" + }, + "ratios_and_proportions": { + "slug": "ratios_and_proportions", + "hide": false, + "description": "Would you rather go to a college with a high teacher-to-student ratio or a low one? What about the ratio of girls-to-boys? What is the ratio of eggs to butter in your favorite dessert?\n\nRatios show up EVERYWHERE in life. This tutorial introduces you to what they (and proportions) are and how to make good use of them!", + "title": "Ratios and proportions", + "kind": "Topic", + "id": "ratios_and_proportions", + "topic_page_url": "/math/arithmetic/rates-and-ratios/ratios_and_proportions", + "path": "/math/arithmetic/rates-and-ratios/ratios_and_proportions/", + "extended_slug": "math/arithmetic/rates-and-ratios/ratios_and_proportions" + }, + "deductive-and-inductive-reasoning": { + "slug": "deductive-and-inductive-reasoning", + "hide": false, + "description": "You will hear the words \"deductive reasoning\" and \"inductive reasoning\" throughout your life. This very optional tutorial will give you context for what these mean.", + "title": "Deductive and inductive reasoning", + "kind": "Topic", + "id": "deductive-and-inductive-reasoning", + "topic_page_url": "/math/trigonometry/seq_induction/deductive-and-inductive-reasoning", + "path": "/math/trigonometry/seq_induction/deductive-and-inductive-reasoning/", + "extended_slug": "math/trigonometry/seq_induction/deductive-and-inductive-reasoning" + }, + "graphing_coordinates": { + "slug": "graphing_coordinates", + "hide": false, + "description": "How can we communicate exactly where something is in two dimensions? Who was this Descartes character? \n\nIn this tutorial, we cover the basics of the coordinate plane. We then delve into graphing points and determining whether a point is a solution of an equation. This will be a great tutorial experience if you are just starting to ramp up your understanding of graphing or need some fundamental review.", + "title": "The coordinate plane", + "kind": "Topic", + "id": "graphing_coordinates", + "topic_page_url": "/math/trigonometry/graphs/graphing_coordinates", + "path": "/math/trigonometry/graphs/graphing_coordinates/", + "extended_slug": "math/trigonometry/graphs/graphing_coordinates" + }, + "rounding_whole_numbers": { + "slug": "rounding_whole_numbers", + "hide": false, + "description": "If you're looking to create an army of robot dogs, will it really make a difference if you have 10,300 dogs, 9,997 dogs or 10,005 dogs? Probably not. All you really care about is how many dogs you have to, say, the nearest thousand (10,000 dogs).\n\nIn this tutorial, you'll learn about conventions for rounding whole numbers. Very useful when you might not need to (or cannot) be completely precise.", + "title": "Rounding whole numbers", + "kind": "Topic", + "id": "rounding_whole_numbers", + "topic_page_url": "/math/arithmetic/multiplication-division/rounding_whole_numbers", + "path": "/math/arithmetic/multiplication-division/rounding_whole_numbers/", + "extended_slug": "math/arithmetic/multiplication-division/rounding_whole_numbers" + }, + "perfect-competition": { + "slug": "perfect-competition", + "hide": false, + "description": "This tutorial looks at markets that are deemed to have \"perfect competition.\" This means that there are many players with identical products, no barriers to entry, no advantage for existing players and good pricing information. Few to no real market completely matches this theoretical ideal, but many are close. Even the example we use in this tutorial (the airline industry) isn't quite perfect (you should think about why).", + "title": "Perfect competition", + "kind": "Topic", + "id": "perfect-competition", + "topic_page_url": "/science/microeconomics/perfect-competition-topic/perfect-competition", + "path": "/science/microeconomics/perfect-competition-topic/perfect-competition/", + "extended_slug": "science/microeconomics/perfect-competition-topic/perfect-competition" + }, + "triangle-properties": { + "slug": "triangle-properties", + "hide": false, + "description": "You probably like triangles. You think they are useful. They show up a lot. What you'll see in this topic is that they are far more magical and mystical than you ever imagined!", + "title": "Special properties and parts of triangles", + "kind": "Topic", + "id": "triangle-properties", + "topic_page_url": "/math/geometry/triangle-properties", + "path": "/math/geometry/triangle-properties/", + "extended_slug": "math/geometry/triangle-properties" + }, + "conv_rep_decimals": { + "slug": "conv_rep_decimals", + "hide": false, + "description": "You know that converting a fraction into a decimal can sometimes result in a repeating decimal. For example: 2/3 = 0.666666..., and 1/7 = 0.142857142857... \n\nBut how do you convert a repeating decimal into a fraction? As we'll see in this tutorial, a little bit of algebra magic can do the trick!", + "title": "Converting repeating decimals to fractions", + "kind": "Topic", + "id": "conv_rep_decimals", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals", + "path": "/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals" + }, + "reverse-engineering": { + "slug": "reverse-engineering", + "hide": false, + "description": "Videos exploring the way things work. These videos have recently been updated to included 1080p HD versions.", + "title": "Reverse Engineering", + "kind": "Topic", + "id": "reverse-engineering", + "topic_page_url": "/science/projects/reverse-engineering", + "path": "/science/projects/reverse-engineering/", + "extended_slug": "science/projects/reverse-engineering" + }, + "alcohol-nomenclature-properties": { + "slug": "alcohol-nomenclature-properties", + "hide": false, + "description": "It can clean a wound or kill your liver. Some religions ban it, others use it in their sacred rites. Some of the most stupid acts humanity every committed were done under its influence. It is even responsible for some of our births. \n\nIn this tutorial, Sal and Jay name alcohols and discuss their properties.", + "title": "Alcohol nomenclature and properties", + "kind": "Topic", + "id": "alcohol-nomenclature-properties", + "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/alcohol-nomenclature-properties", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/alcohol-nomenclature-properties/", + "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/alcohol-nomenclature-properties" + }, + "inequalities": { + "slug": "inequalities", + "hide": false, + "description": "In this tutorial you'll discover that much of the logic you've used to solve equations can also be applied to think about inequalities!", + "title": "Basic inequalities", + "kind": "Topic", + "id": "inequalities", + "topic_page_url": "/math/algebra/linear_inequalities/inequalities", + "path": "/math/algebra/linear_inequalities/inequalities/", + "extended_slug": "math/algebra/linear_inequalities/inequalities" + }, + "functional-groups": { + "slug": "functional-groups", + "hide": false, + "description": "In this tutorial, Jay puts the \"fun\" back into recognizing functional groups.", + "title": "Functional groups", + "kind": "Topic", + "id": "functional-groups", + "topic_page_url": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/functional-groups", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/functional-groups/", + "extended_slug": "science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/functional-groups" + }, + "derivative-securities": { + "slug": "derivative-securities", + "hide": false, + "description": "", + "title": "Options, swaps, futures, MBSs, CDOs and other derivatives", + "kind": "Topic", + "id": "derivative-securities", + "topic_page_url": "/science/core-finance/derivative-securities", + "path": "/science/core-finance/derivative-securities/", + "extended_slug": "science/core-finance/derivative-securities" + }, + "supply-demand-equilibrium": { + "slug": "supply-demand-equilibrium", + "hide": false, + "description": "The core ideas in microeconomics. Supply, demand and equilibrium.", + "title": "Supply, demand and market equilibrium", + "kind": "Topic", + "id": "supply-demand-equilibrium", + "topic_page_url": "/science/microeconomics/supply-demand-equilibrium", + "path": "/science/microeconomics/supply-demand-equilibrium/", + "extended_slug": "science/microeconomics/supply-demand-equilibrium" + }, + "aromatic-compounds": { + "slug": "aromatic-compounds", + "hide": false, + "description": "aromatic compounds, naming derivatives of benzene, electrophilic aromatic substitution reactions", + "title": "Aromatic compounds", + "kind": "Topic", + "id": "aromatic-compounds", + "topic_page_url": "/science/organic-chemistry/aromatic-compounds", + "path": "/science/organic-chemistry/aromatic-compounds/", + "extended_slug": "science/organic-chemistry/aromatic-compounds" + }, + "laplace-transform-tutorial": { + "slug": "laplace-transform-tutorial", + "hide": false, + "description": "We now use one of the coolest techniques in mathematics to transform differential equations into algebraic ones. You'll also learn about transforms in general!", + "title": "Laplace transform", + "kind": "Topic", + "id": "laplace-transform-tutorial", + "topic_page_url": "/math/differential-equations/laplace-transform/laplace-transform-tutorial", + "path": "/math/differential-equations/laplace-transform/laplace-transform-tutorial/", + "extended_slug": "math/differential-equations/laplace-transform/laplace-transform-tutorial" + }, + "bonds-tutorial": { + "slug": "bonds-tutorial", + "hide": false, + "description": "Both corporations and governments can borrow money by selling bonds. This tutorial explains how this works and how bond prices relate to interest rates. In general, understanding this not only helps you with your own investing, but gives you a lens on the entire global economy.", + "title": "Bonds", + "kind": "Topic", + "id": "bonds-tutorial", + "topic_page_url": "/science/core-finance/stock-and-bonds/bonds-tutorial", + "path": "/science/core-finance/stock-and-bonds/bonds-tutorial/", + "extended_slug": "science/core-finance/stock-and-bonds/bonds-tutorial" + }, + "factional-reserve-accounting": { + "slug": "factional-reserve-accounting", + "hide": false, + "description": "If you already know a bit of what fractional reserve banking involves, this tutorial will take you deeper by looking at the actual accounting of central banks and banks.", + "title": "Fractional reserve accounting", + "kind": "Topic", + "id": "factional-reserve-accounting", + "topic_page_url": "/science/macroeconomics/monetary-system-topic/factional-reserve-accounting", + "path": "/science/macroeconomics/monetary-system-topic/factional-reserve-accounting/", + "extended_slug": "science/macroeconomics/monetary-system-topic/factional-reserve-accounting" + }, + "oxidation-reduction-review": { + "slug": "oxidation-reduction-review", + "hide": false, + "description": "LEO the Lion goes GERRRR!!!! If that is all that you remember about redox from general chemistry, then this tutorial is for you! Jay shows you how to assign oxidation states in organic molecules.", + "title": "Oxidation and reduction", + "kind": "Topic", + "id": "oxidation-reduction-review", + "topic_page_url": "/science/organic-chemistry/gen-chem-review/oxidation-reduction-review", + "path": "/science/organic-chemistry/gen-chem-review/oxidation-reduction-review/", + "extended_slug": "science/organic-chemistry/gen-chem-review/oxidation-reduction-review" + }, + "changing-the-PV-loop": { + "slug": "changing-the-PV-loop", + "hide": false, + "description": "Find out how preload, afterload, and contractility work together to change your PV Loop (and affect stroke volume and cardiac output)!", + "title": "Changing the PV Loop", + "kind": "Topic", + "id": "changing-the-PV-loop", + "topic_page_url": "/science/healthcare-and-medicine/changing-the-PV-loop", + "path": "/science/healthcare-and-medicine/changing-the-PV-loop/", + "extended_slug": "science/healthcare-and-medicine/changing-the-PV-loop" + }, + "pythagorean_proofs": { + "slug": "pythagorean_proofs", + "hide": false, + "description": "The Pythagorean theorem is one of the most famous ideas in all of mathematics. This tutorial proves it. Then proves it again... and again... and again. More than just satisfying any skepticism of whether the Pythagorean theorem is really true (only one proof would be sufficient for that), it will hopefully open your mind to new and beautiful ways to prove something very powerful.", + "title": "Pythagorean theorem proofs", + "kind": "Topic", + "id": "pythagorean_proofs", + "topic_page_url": "/math/geometry/right_triangles_topic/pythagorean_proofs", + "path": "/math/geometry/right_triangles_topic/pythagorean_proofs/", + "extended_slug": "math/geometry/right_triangles_topic/pythagorean_proofs" + }, + "orthonormal_basis": { + "slug": "orthonormal_basis", + "hide": false, + "description": "As we'll see in this tutorial, it is hard not to love a basis where all the vectors are orthogonal to each other and each have length 1 (hey, this sounds pretty much like some coordinate systems you've known for a long time!). We explore these orthonormal bases in some depth and also give you a great tool for creating them: the Gram-Schmidt Process (which would also be a great name for a band).", + "title": "Orthonormal bases and the Gram-Schmidt Process", + "kind": "Topic", + "id": "orthonormal_basis", + "topic_page_url": "/math/linear-algebra/alternate_bases/orthonormal_basis", + "path": "/math/linear-algebra/alternate_bases/orthonormal_basis/", + "extended_slug": "math/linear-algebra/alternate_bases/orthonormal_basis" + }, + "art-history-400-1300-medieval---byzantine-eras": { + "slug": "art-history-400-1300-medieval---byzantine-eras", + "hide": false, + "description": "", + "title": "400-1300 Medieval & Byzantine Eras", + "kind": "Topic", + "id": "art-history-400-1300-medieval---byzantine-eras", + "topic_page_url": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras", + "path": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/", + "extended_slug": "humanities/art-history/art-history-400-1300-medieval---byzantine-eras" + }, + "monetary-fiscal-policy": { + "slug": "monetary-fiscal-policy", + "hide": false, + "description": "Governments (and pseudo government entities like central banks) have two tools at their disposal to try to impact the business cycle --monetary and fiscal policy. This will help you understand what they are.", + "title": "Monetary and fiscal policy", + "kind": "Topic", + "id": "monetary-fiscal-policy", + "topic_page_url": "/science/macroeconomics/aggregate-supply-demand-topic/monetary-fiscal-policy", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/monetary-fiscal-policy/", + "extended_slug": "science/macroeconomics/aggregate-supply-demand-topic/monetary-fiscal-policy" + }, + "CDO-tutorial": { + "slug": "CDO-tutorial", + "hide": false, + "description": "", + "title": "Collateralized debt obligations", + "kind": "Topic", + "id": "CDO-tutorial", + "topic_page_url": "/finance-economics/core-finance/derivative-securities/CDO-tutorial", + "path": "/science/core-finance/derivative-securities/CDO-tutorial/", + "extended_slug": "finance-economics/core-finance/derivative-securities/CDO-tutorial" + }, + "differential-calculus": { + "slug": "differential-calculus", + "hide": false, + "description": "Calculating derivatives. Power rule. Product and quotient rules. Chain Rule. Implicit differentiation. Derivatives of common functions.", + "title": "Taking derivatives", + "kind": "Topic", + "id": "differential-calculus", + "topic_page_url": "/math/calculus/differential-calculus", + "path": "/math/calculus/differential-calculus/", + "extended_slug": "math/calculus/differential-calculus" + }, + "two-dimensional-motion": { + "slug": "two-dimensional-motion", + "hide": false, + "description": "You understand velocity and acceleration well in one-dimension. Now we can explore scenarios that are even more fun. With a little bit of trigonometry (you might want to review your basic trig, especially what sin and cos are), we can think about whether a baseball can clear the \"green monster\" at Fenway Park.", + "title": "Two-dimensional motion", + "kind": "Topic", + "id": "two-dimensional-motion", + "topic_page_url": "/science/physics/two-dimensional-motion", + "path": "/science/physics/two-dimensional-motion/", + "extended_slug": "science/physics/two-dimensional-motion" + }, + "the-lungs": { + "slug": "the-lungs", + "hide": false, + "description": "Get a better understanding of how your lungs help you to sing and survive!", + "title": "The Lungs", + "kind": "Topic", + "id": "the-lungs", + "topic_page_url": "/science/healthcare-and-medicine/the-lungs", + "path": "/science/healthcare-and-medicine/the-lungs/", + "extended_slug": "science/healthcare-and-medicine/the-lungs" + }, + "world-of-exponents": { + "slug": "world-of-exponents", + "hide": false, + "description": "Addition was nice. Multiplication was cooler. In the mood for a new operation that grows numbers even faster? Ever felt like expressing repeated multiplication with less writing? Ever wanted to describe how most things in the universe grow and shrink? Well, exponents are your answer!\n\nThis tutorial covers everything from basic exponents to negative and fractional ones. It assumes you remember your multiplication, negative numbers and fractions.", + "title": "The world of exponents", + "kind": "Topic", + "id": "world-of-exponents", + "topic_page_url": "/math/arithmetic/exponents-radicals/world-of-exponents", + "path": "/math/arithmetic/exponents-radicals/world-of-exponents/", + "extended_slug": "math/arithmetic/exponents-radicals/world-of-exponents" + }, + "real-nominal-gdp-tutorial": { + "slug": "real-nominal-gdp-tutorial", + "hide": false, + "description": "The value of a currency is constantly changing (usually going down in terms of what you can buy). Given this, how can we compare GDP measured in dollars in one year to another year? This tutorial answers that question by introducing you to real GDP and GDP deflators.", + "title": "Real and nominal GDP", + "kind": "Topic", + "id": "real-nominal-gdp-tutorial", + "topic_page_url": "/science/macroeconomics/gdp-topic/real-nominal-gdp-tutorial", + "path": "/science/macroeconomics/gdp-topic/real-nominal-gdp-tutorial/", + "extended_slug": "science/macroeconomics/gdp-topic/real-nominal-gdp-tutorial" + }, + "prime_factorization": { + "slug": "prime_factorization", + "hide": false, + "description": "You know what prime numbers are and how to identify them. In this tutorial, we'll see that *all* positive whole numbers can be broken down into products of prime numbers (In some way, prime numbers are the \"atoms\" of the number world that can be multiplied to create any other number). Besides being a fascinating idea, it is also extremely useful. Prime factorization can be used to decrypt encrypted information!", + "title": "Prime factorization", + "kind": "Topic", + "id": "prime_factorization", + "topic_page_url": "/math/arithmetic/factors-multiples/prime_factorization", + "path": "/math/arithmetic/factors-multiples/prime_factorization/", + "extended_slug": "math/arithmetic/factors-multiples/prime_factorization" + }, + "multivariable-calculus": { + "slug": "multivariable-calculus", + "hide": false, + "description": "Parameterizing a surface. Surface integrals. Stokes' theorem.", + "title": "Surface integrals and Stokes' theorem", + "kind": "Topic", + "id": "multivariable-calculus", + "topic_page_url": "/math/calculus/multivariable-calculus", + "path": "/math/calculus/multivariable-calculus/", + "extended_slug": "math/calculus/multivariable-calculus" + }, + "blood-vessel-diseases": { + "slug": "blood-vessel-diseases", + "hide": false, + "description": "Learn about how arteries differ from veins and how arteries can get damaged over time.", + "title": "Blood Vessel Diseases", + "kind": "Topic", + "id": "blood-vessel-diseases", + "topic_page_url": "/science/healthcare-and-medicine/blood-vessel-diseases", + "path": "/science/healthcare-and-medicine/blood-vessel-diseases/", + "extended_slug": "science/healthcare-and-medicine/blood-vessel-diseases" + }, + "exponent-properties": { + "slug": "exponent-properties", + "hide": false, + "description": "Tired of hairy exponent expressions? Feel compelled to clean them up? Well, this tutorial might just give you the tools you need.\n\nIf you know a bit about exponents, you'll learn a ton more in this tutorial as you learn about the rules for simplifying exponents.", + "title": "Exponent properties", + "kind": "Topic", + "id": "exponent-properties", + "topic_page_url": "/math/arithmetic/exponents-radicals/exponent-properties", + "path": "/math/arithmetic/exponents-radicals/exponent-properties/", + "extended_slug": "math/arithmetic/exponents-radicals/exponent-properties" + }, + "dividing_decimals": { + "slug": "dividing_decimals", + "hide": false, + "description": "You can add, subtract and multiply decimals. You know you'd feel a bit empty if you couldn't divide them as well. But something more powerful is going to happen. If you are like us, you never quite liked those pesky remainders when dividing whole numbers. Well, those pesky remainders better watch out because they are going to be divided too!!!! Ah ha ha ha ha!!!!!", + "title": "Dividing decimals", + "kind": "Topic", + "id": "dividing_decimals", + "topic_page_url": "/math/arithmetic/decimals/dividing_decimals", + "path": "/math/arithmetic/decimals/dividing_decimals/", + "extended_slug": "math/arithmetic/decimals/dividing_decimals" + }, + "simplifying-rational-alg": { + "slug": "simplifying-rational-alg", + "hide": false, + "description": "You get a rational expression when you divide one polynomial by another. If you have a good understanding of factoring quadratics, you'll be able to apply this skill here to help realize where a rational expression may not be defined and how we can go about simplifying it.", + "title": "Simplifying rational expressions", + "kind": "Topic", + "id": "simplifying-rational-alg", + "topic_page_url": "/math/algebra/rational-expressions/simplifying-rational-alg", + "path": "/math/algebra/rational-expressions/simplifying-rational-alg/", + "extended_slug": "math/algebra/rational-expressions/simplifying-rational-alg" + }, + "nash-equilibrium-tutorial": { + "slug": "nash-equilibrium-tutorial", + "hide": false, + "description": "", + "title": "Game theory and Nash equilibrium", + "kind": "Topic", + "id": "nash-equilibrium-tutorial", + "topic_page_url": "/science/microeconomics/nash-equilibrium-tutorial", + "path": "/science/microeconomics/nash-equilibrium-tutorial/", + "extended_slug": "science/microeconomics/nash-equilibrium-tutorial" + }, + "rational-function-graphing": { + "slug": "rational-function-graphing", + "hide": false, + "description": "Rational functions are often not defined at certain points and have very interesting behavior has the input variable becomes very large in magnitude. This tutorial explores how to graph these functions, paying attention to these special features. We'll talk a lot about vertical and horizontal asymptotes.", + "title": "Graphing rational functions", + "kind": "Topic", + "id": "rational-function-graphing", + "topic_page_url": "/math/algebra/rational-expressions/rational-function-graphing", + "path": "/math/algebra/rational-expressions/rational-function-graphing/", + "extended_slug": "math/algebra/rational-expressions/rational-function-graphing" + }, + "triang_prop_tut": { + "slug": "triang_prop_tut", + "hide": false, + "description": "Do the angles in a triangle always add up to the same thing? Would I ask it if they didn't? What do we know about the angles of a triangle if two of the sides are congruent (an isosceles triangle) or all three are congruent (an equilateral)? This tutorial is the place to find out.", + "title": "Angles with triangles and polygons", + "kind": "Topic", + "id": "triang_prop_tut", + "topic_page_url": "/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut", + "path": "/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/", + "extended_slug": "math/geometry/parallel-and-perpendicular-lines/triang_prop_tut" + }, + "decimals": { + "slug": "decimals", + "hide": false, + "description": "Understanding decimals conceptually, using operations with decimals, rounding and estimating with decimals, and converting decimals.", + "title": "Decimals and percent", + "kind": "Topic", + "id": "decimals", + "topic_page_url": "/math/arithmetic/decimals", + "path": "/math/arithmetic/decimals/", + "extended_slug": "math/arithmetic/decimals" + }, + "parabolas_precalc": { + "slug": "parabolas_precalc", + "hide": false, + "description": "You've seen parabolas already when you graphed quadratic functions. Now we will look at them from a conic perspective. In particular we will look at them as the set of all points equidistant from a point (focus) and a line (directrix). Have fun!", + "title": "Parabolas", + "kind": "Topic", + "id": "parabolas_precalc", + "topic_page_url": "/math/trigonometry/conics_precalc/parabolas_precalc", + "path": "/math/trigonometry/conics_precalc/parabolas_precalc/", + "extended_slug": "math/trigonometry/conics_precalc/parabolas_precalc" + }, + "haitian-revolution": { + "slug": "haitian-revolution", + "hide": false, + "description": "Yes, you are right. Haiti is not in Europe. We put the tutorial here because it was a French colony and its own revolution is closely linked to that of France's.\n\nPossibly one of the saddest histories that a nation can have, this tutorial tries to give as much context as possible for the birth of Haiti.", + "title": "Haitian Revolution", + "kind": "Topic", + "id": "haitian-revolution", + "topic_page_url": "/humanities/history/euro-hist/haitian-revolution", + "path": "/humanities/history/euro-hist/haitian-revolution/", + "extended_slug": "humanities/history/euro-hist/haitian-revolution" + }, + "marginal-utility-tutorial": { + "slug": "marginal-utility-tutorial", + "hide": false, + "description": "In this tutorial we look at the utility of getting one more of something and put numbers to it. We then use this to construct a budget line and think about indifference curves.", + "title": "Marginal utility and budget lines", + "kind": "Topic", + "id": "marginal-utility-tutorial", + "topic_page_url": "/science/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial", + "path": "/science/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/", + "extended_slug": "science/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial" + }, + "binomial_theorem": { + "slug": "binomial_theorem", + "hide": false, + "description": "You can keep taking the powers of a binomial by hand, but, as we'll see in this tutorial, there is a much more elegant way to do it using the binomial theorem and/or Pascal's Triangle.", + "title": "Binomial theorem", + "kind": "Topic", + "id": "binomial_theorem", + "topic_page_url": "/math/trigonometry/polynomial_and_rational/binomial_theorem", + "path": "/math/trigonometry/polynomial_and_rational/binomial_theorem/", + "extended_slug": "math/trigonometry/polynomial_and_rational/binomial_theorem" + }, + "systems-word-problems": { + "slug": "systems-word-problems", + "hide": false, + "description": "This tutorial doesn't involve talking parrots and greedy trolls, but it takes many of the ideas you might have learned in that tutorial and applies them to word problems. These include rate problems, mixture problems, and others. If you can pause and solve the example videos before Sal does, we'd say that you have a pretty good grasp of systems. Enjoy!", + "title": "Systems of equations word problems", + "kind": "Topic", + "id": "systems-word-problems", + "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/systems-word-problems", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-word-problems/", + "extended_slug": "math/algebra/systems-of-eq-and-ineq/systems-word-problems" + }, + "seq_and_series": { + "slug": "seq_and_series", + "hide": false, + "description": "This sequence (pun intended) of videos and exercises will help us explore ordered lists of objects--even infinite ones--that often have some pattern to them. We will then explore constructing sequences where the nth term is the sum of the first n terms of another sequence (series). This is surprisingly useful in a whole series (pun intended) of applications from finance to drug dosage.", + "title": "Sequences and series", + "kind": "Topic", + "id": "seq_and_series", + "topic_page_url": "/math/trigonometry/seq_induction/seq_and_series", + "path": "/math/trigonometry/seq_induction/seq_and_series/", + "extended_slug": "math/trigonometry/seq_induction/seq_and_series" + }, + "real-nominal-return-tut": { + "slug": "real-nominal-return-tut", + "hide": false, + "description": "If the value of money is constantly changing, can we compare investment return in the future or past to that earned in the present? This tutorial focuses on how to do this (another good tutorial to watch is the one on \"present value\").", + "title": "Real and nominal return", + "kind": "Topic", + "id": "real-nominal-return-tut", + "topic_page_url": "/science/core-finance/inflation-tutorial/real-nominal-return-tut", + "path": "/science/core-finance/inflation-tutorial/real-nominal-return-tut/", + "extended_slug": "science/core-finance/inflation-tutorial/real-nominal-return-tut" + }, + "trig_substitution": { + "slug": "trig_substitution", + "hide": false, + "description": "We will now do another substitution technique (the other was u-substitution) where we substitute variables with trig functions. This allows us to leverage some trigonometric identities to simplify the expression into one that it is easier to take the anti-derivative of.", + "title": "Trig substitution", + "kind": "Topic", + "id": "trig_substitution", + "topic_page_url": "/math/calculus/integral-calculus/trig_substitution", + "path": "/math/calculus/integral-calculus/trig_substitution/", + "extended_slug": "math/calculus/integral-calculus/trig_substitution" + }, + "quad_ineq": { + "slug": "quad_ineq", + "hide": false, + "description": "You are familiar with factoring quadratic expressions and solving quadratic equations. Well, as you might guess, not everything in life has to be equal.\n\nIn this short tutorial we will look at quadratic inequalities.", + "title": "Quadratic inequalities", + "kind": "Topic", + "id": "quad_ineq", + "topic_page_url": "/math/trigonometry/polynomial_and_rational/quad_ineq", + "path": "/math/trigonometry/polynomial_and_rational/quad_ineq/", + "extended_slug": "math/trigonometry/polynomial_and_rational/quad_ineq" + }, + "interpreting-data-topic": { + "slug": "interpreting-data-topic", + "hide": false, + "description": "Getting familiar with constructing and interpreting various types of charts, graphs and tables.", + "title": "Interpreting data", + "kind": "Topic", + "id": "interpreting-data-topic", + "topic_page_url": "/math/arithmetic/interpreting-data-topic", + "path": "/math/arithmetic/interpreting-data-topic/", + "extended_slug": "math/arithmetic/interpreting-data-topic" + }, + "econ-intro-in-macro-tutorial": { + "slug": "econ-intro-in-macro-tutorial", + "hide": false, + "description": "This very short tutorial gives us the big picture of what economics is all about and, in particular, compares macroeconomics (where you are now) to microeconomics.", + "title": "Introduction to economics", + "kind": "Topic", + "id": "econ-intro-in-macro-tutorial", + "topic_page_url": "/science/macroeconomics/gdp-topic/econ-intro-in-macro-tutorial", + "path": "/science/macroeconomics/gdp-topic/econ-intro-in-macro-tutorial/", + "extended_slug": "science/macroeconomics/gdp-topic/econ-intro-in-macro-tutorial" + }, + "combinatorics_precalc": { + "slug": "combinatorics_precalc", + "hide": false, + "description": "If want to display your Chuck Norris dolls on your desk at school and there is only room for five of them. Unfortunately, you own 50. How many ways can you pick the dolls and arrange them on your desk? What if you don't what order they are in or how they are posed (okay, of course you care about their awesome poses)?", + "title": "Permutations and combinations", + "kind": "Topic", + "id": "combinatorics_precalc", + "topic_page_url": "/math/trigonometry/prob_comb/combinatorics_precalc", + "path": "/math/trigonometry/prob_comb/combinatorics_precalc/", + "extended_slug": "math/trigonometry/prob_comb/combinatorics_precalc" + }, + "polar_coor": { + "slug": "polar_coor", + "hide": false, + "description": "Feel that Cartesian coordinates are too \"square\". That they bias us towards lines and away from cool spirally things. Well polar coordinates be just what you need!", + "title": "Polar coordinates", + "kind": "Topic", + "id": "polar_coor", + "topic_page_url": "/math/trigonometry/parametric_equations/polar_coor", + "path": "/math/trigonometry/parametric_equations/polar_coor/", + "extended_slug": "math/trigonometry/parametric_equations/polar_coor" + }, + "us-history": { + "slug": "us-history", + "hide": false, + "description": "", + "title": "United States History", + "kind": "Topic", + "id": "us-history", + "topic_page_url": "/humanities/history/us-history", + "path": "/humanities/history/us-history/", + "extended_slug": "humanities/history/us-history" + }, + "factors-multiples": { + "slug": "factors-multiples", + "hide": false, + "description": "Understanding and finding factors and multiples. After these videos, you'll be ready for fractions.", + "title": "Factors and multiples", + "kind": "Topic", + "id": "factors-multiples", + "topic_page_url": "/math/arithmetic/factors-multiples", + "path": "/math/arithmetic/factors-multiples/", + "extended_slug": "math/arithmetic/factors-multiples" + }, + "transformations": { + "slug": "transformations", + "hide": false, + "description": null, + "title": "Transformations", + "kind": "Topic", + "id": "transformations", + "topic_page_url": "/math/geometry/transformations/e", + "path": "/math/geometry/transformations/", + "extended_slug": "math/geometry/transformations" + }, + "thermodynamics": { + "slug": "thermodynamics", + "hide": false, + "description": "", + "title": "Thermodynamics", + "kind": "Topic", + "id": "thermodynamics", + "topic_page_url": "/science/physics/thermodynamics", + "path": "/science/physics/thermodynamics/", + "extended_slug": "science/physics/thermodynamics" + }, + "addition_rule_probability": { + "slug": "addition_rule_probability", + "hide": false, + "description": "What is the probability of getting a diamond or an ace from a deck of cards? Well I could get a diamond that is not an ace, an ace that is not a diamond, or the ace of diamonds. This tutorial helps us think these types of situations through a bit better (especially with the help of our good friend, the Venn diagram).", + "title": "Venn diagrams and adding probabilities", + "kind": "Topic", + "id": "addition_rule_probability", + "topic_page_url": "/math/probability/independent-dependent-probability/addition_rule_probability", + "path": "/math/probability/independent-dependent-probability/addition_rule_probability/", + "extended_slug": "math/probability/independent-dependent-probability/addition_rule_probability" + }, + "polynomial_and_rational": { + "slug": "polynomial_and_rational", + "hide": false, + "description": "Exploring quadratics and higher degree polynomials. Also in-depth look at rational functions.", + "title": "Polynomial and rational functions", + "kind": "Topic", + "id": "polynomial_and_rational", + "topic_page_url": "/math/trigonometry/polynomial_and_rational", + "path": "/math/trigonometry/polynomial_and_rational/", + "extended_slug": "math/trigonometry/polynomial_and_rational" + }, + "work-and-energy-tutorial": { + "slug": "work-and-energy-tutorial", + "hide": false, + "description": "You're doing a lot more work than you realize (most of which goes unpaid). This tutorial will have you seeing the world in terms of potentials and energy and work (which is more fun than you can possibly imagine).", + "title": "Work and energy", + "kind": "Topic", + "id": "work-and-energy-tutorial", + "topic_page_url": "/science/physics/work-and-energy/work-and-energy-tutorial", + "path": "/science/physics/work-and-energy/work-and-energy-tutorial/", + "extended_slug": "science/physics/work-and-energy/work-and-energy-tutorial" + }, + "thermo-can": { + "slug": "thermo-can", + "hide": false, + "description": "", + "title": "Thermo Can", + "kind": "Topic", + "id": "thermo-can", + "topic_page_url": "/science/projects/thermo-can", + "path": "/science/projects/thermo-can/", + "extended_slug": "science/projects/thermo-can" + }, + "overview_hist_alg": { + "slug": "overview_hist_alg", + "hide": false, + "description": "Did you realize that the word \"algebra\" comes from Arabic (just like \"algorithm\" and \"al jazeera\" and \"Aladdin\")? And what is so great about algebra anyway? \n\nThis tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it.", + "title": "Overview and history of algebra", + "kind": "Topic", + "id": "overview_hist_alg", + "topic_page_url": "/math/algebra/introduction-to-algebra/overview_hist_alg", + "path": "/math/algebra/introduction-to-algebra/overview_hist_alg/", + "extended_slug": "math/algebra/introduction-to-algebra/overview_hist_alg" + }, + "synthesis-alkynes": { + "slug": "synthesis-alkynes", + "hide": false, + "description": "In this tutorial, Jay demonstrates how to use Dr. Schwartz's organic flowsheet to solve synthesis problems involving alkynes. Always remember, pain is temporary, orgo is forever!", + "title": "Synthesis using alkynes", + "kind": "Topic", + "id": "synthesis-alkynes", + "topic_page_url": "/science/organic-chemistry/alkenes-alkynes/synthesis-alkynes", + "path": "/science/organic-chemistry/alkenes-alkynes/synthesis-alkynes/", + "extended_slug": "science/organic-chemistry/alkenes-alkynes/synthesis-alkynes" + }, + "imaginary_unit_i": { + "slug": "imaginary_unit_i", + "hide": false, + "description": "This is where math starts to get really cool. It may see strange to define a number whose square is negative one. Why do we do this? Because it fits a nice niche in the math ecosystem and can be used to solve problems in engineering and science (not to mention some of the coolest fractals are based on imaginary and complex numbers). The more you think about it, you might realize that all numbers, not just i, are very abstract.", + "title": "The imaginary unit i", + "kind": "Topic", + "id": "imaginary_unit_i", + "topic_page_url": "/math/algebra/complex-numbers/imaginary_unit_i", + "path": "/math/algebra/complex-numbers/imaginary_unit_i/", + "extended_slug": "math/algebra/complex-numbers/imaginary_unit_i" + }, + "independent-dependent-probability": { + "slug": "independent-dependent-probability", + "hide": false, + "description": "Introduction to probability. Independent and dependent events. Compound events. Mutual exclusive events. Addition rule for probability.", + "title": "Independent and dependent events", + "kind": "Topic", + "id": "independent-dependent-probability", + "topic_page_url": "/math/probability/independent-dependent-probability", + "path": "/math/probability/independent-dependent-probability/", + "extended_slug": "math/probability/independent-dependent-probability" + }, + "area_non_standard": { + "slug": "area_non_standard", + "hide": false, + "description": "Not everything in the world is a rectangle, circle or triangle. In this tutorial, we give you practice at finding the perimeters and areas of these less-than-standard shapes!", + "title": "Perimeter and area of non-standard shapes", + "kind": "Topic", + "id": "area_non_standard", + "topic_page_url": "/math/geometry/basic-geometry/area_non_standard", + "path": "/math/geometry/basic-geometry/area_non_standard/", + "extended_slug": "math/geometry/basic-geometry/area_non_standard" + }, + "introduction-to-algebra": { + "slug": "introduction-to-algebra", + "hide": false, + "description": "Videos exploring why algebra was developed and how it helps us explain our world.", + "title": "Introduction to algebra", + "kind": "Topic", + "id": "introduction-to-algebra", + "topic_page_url": "/math/algebra/introduction-to-algebra", + "path": "/math/algebra/introduction-to-algebra/", + "extended_slug": "math/algebra/introduction-to-algebra" + }, + "light-fundamental-forces": { + "slug": "light-fundamental-forces", + "hide": false, + "description": "This tutorial gives an overview of light and the fundamental four forces. You won't have a degree in physics after this, but it'll give you some good context for understanding cosmology and the universe we are experiencing. It should be pretty understandable by someone with a very basic background in science.", + "title": "Light and fundamental forces", + "kind": "Topic", + "id": "light-fundamental-forces", + "topic_page_url": "/science/cosmology-and-astronomy/universe-scale-topic/light-fundamental-forces", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/light-fundamental-forces/", + "extended_slug": "science/cosmology-and-astronomy/universe-scale-topic/light-fundamental-forces" + }, + "derivative_applications": { + "slug": "derivative_applications", + "hide": false, + "description": "Minima, maxima, and critical points. Rates of change. Optimization. Rates of change. L'Hopital's rule. Mean value theorem.", + "title": "Derivative applications", + "kind": "Topic", + "id": "derivative_applications", + "topic_page_url": "/math/calculus/derivative_applications", + "path": "/math/calculus/derivative_applications/", + "extended_slug": "math/calculus/derivative_applications" + }, + "shorting-stock": { + "slug": "shorting-stock", + "hide": false, + "description": "Cane you sell something that you borrowed from someone else? Why, yes, you can and it is called \"shorting\". Why would you do this? Well, you can now make money if the price goes down. Is this bad? This tutorial has your answers.", + "title": "Shorting stock", + "kind": "Topic", + "id": "shorting-stock", + "topic_page_url": "/science/core-finance/stock-and-bonds/shorting-stock", + "path": "/science/core-finance/stock-and-bonds/shorting-stock/", + "extended_slug": "science/core-finance/stock-and-bonds/shorting-stock" + }, + "prob_combinatorics_precalc": { + "slug": "prob_combinatorics_precalc", + "hide": false, + "description": "This tutorial will apply the permutation and combination tools you learned in the last tutorial to problems of probability. You'll finally learn that there may be better \"investments\" than poring all your money into the Powerball Lottery.", + "title": "Probability using combinatorics", + "kind": "Topic", + "id": "prob_combinatorics_precalc", + "topic_page_url": "/math/trigonometry/prob_comb/prob_combinatorics_precalc", + "path": "/math/trigonometry/prob_comb/prob_combinatorics_precalc/", + "extended_slug": "math/trigonometry/prob_comb/prob_combinatorics_precalc" + }, + "sequences_series_approx_calc": { + "slug": "sequences_series_approx_calc", + "hide": false, + "description": "Sequences, series and approximating functions. Maclaurin and Taylor series.", + "title": "Sequences, series and function approximation", + "kind": "Topic", + "id": "sequences_series_approx_calc", + "topic_page_url": "/math/calculus/sequences_series_approx_calc", + "path": "/math/calculus/sequences_series_approx_calc/", + "extended_slug": "math/calculus/sequences_series_approx_calc" + }, + "intro_differential_calc": { + "slug": "intro_differential_calc", + "hide": false, + "description": "The topic that is now known as \"calculus\" was really called \"the calculus of differentials\" when first devised by Newton (and Leibniz) roughly four hundred years ago. To Newton, differentials were infinitely small \"changes\" in numbers that previous mathematics didn't know what to do with. Think this has no relevence to you? Well how would you figure out how fast something is going *right* at this moment (you'd have to figure out the very, very small change in distance over an infinitely small change in time)? This tutorial gives a gentle introduction to the world of Newton and Leibniz.", + "title": "Introduction to differential calculus", + "kind": "Topic", + "id": "intro_differential_calc", + "topic_page_url": "/math/calculus/differential-calculus/intro_differential_calc", + "path": "/math/calculus/differential-calculus/intro_differential_calc/", + "extended_slug": "math/calculus/differential-calculus/intro_differential_calc" + }, + "dc-motors": { + "slug": "dc-motors", + "hide": false, + "description": "In this section we investigate how dc motors work and what is inside of them.", + "title": "DC Motors", + "kind": "Topic", + "id": "dc-motors", + "topic_page_url": "/science/projects/dc-motors", + "path": "/science/projects/dc-motors/", + "extended_slug": "science/projects/dc-motors" + }, + "conic_circles": { + "slug": "conic_circles", + "hide": false, + "description": "You've seen circles your entire life. You've even studied them a bit in math class. Now we go further, taking a deep look at the equations of circles.", + "title": "Circles", + "kind": "Topic", + "id": "conic_circles", + "topic_page_url": "/math/algebra/conic-sections/conic_circles", + "path": "/math/algebra/conic-sections/conic_circles/", + "extended_slug": "math/algebra/conic-sections/conic_circles" + }, + "angles": { + "slug": "angles", + "hide": false, + "description": "Identifying, measuring, and calculating angles.", + "title": "Angles", + "kind": "Topic", + "id": "angles", + "topic_page_url": "/math/geometry/angles", + "path": "/math/geometry/angles/", + "extended_slug": "math/geometry/angles" + }, + "linear_independence": { + "slug": "linear_independence", + "hide": false, + "description": "If no vector in a set can be created from a linear combination of the other vectors in the set, then we say that the set in linearly independent. Linear independent sets are great because there aren't any extra, unnecessary vectors lying around in the set :)", + "title": "Linear dependence and independent", + "kind": "Topic", + "id": "linear_independence", + "topic_page_url": "/math/linear-algebra/vectors_and_spaces/linear_independence", + "path": "/math/linear-algebra/vectors_and_spaces/linear_independence/", + "extended_slug": "math/linear-algebra/vectors_and_spaces/linear_independence" + }, + "polynomial_tutorial": { + "slug": "polynomial_tutorial", + "hide": false, + "description": "\"Polynomials\" sound like a fancy word, but you just have to break down the root words. \"Poly\" means \"many\". So we're just talking about \"many nomials\" and everyone knows what a \"nomial\" is. Okay, most of us don't. Well, a polynomials has \"many\" terms. \n\nFrom understanding what a \"term\" is to basic simplification, addition and subtraction of polynomials, this tutorial will get you very familiar with the world of many \"nomials.\" :)", + "title": "Polynomials", + "kind": "Topic", + "id": "polynomial_tutorial", + "topic_page_url": "/math/trigonometry/polynomial_and_rational/polynomial_tutorial", + "path": "/math/trigonometry/polynomial_and_rational/polynomial_tutorial/", + "extended_slug": "math/trigonometry/polynomial_and_rational/polynomial_tutorial" + }, + "one-dimensional-motion": { + "slug": "one-dimensional-motion", + "hide": false, + "description": "In this tutorial we begin to explore ideas of velocity and acceleration. We do exciting things like throw things off of cliffs (far safer on paper than in real life) and see how high a ball will fly in the air.", + "title": "One-dimensional motion", + "kind": "Topic", + "id": "one-dimensional-motion", + "topic_page_url": "/science/physics/one-dimensional-motion", + "path": "/science/physics/one-dimensional-motion/", + "extended_slug": "science/physics/one-dimensional-motion" + }, + "simplifying-rational-expressions": { + "slug": "simplifying-rational-expressions", + "hide": false, + "description": "You get a rational expression when you divide one polynomial by another. If you have a good understanding of factoring quadratics, you'll be able to apply this skill here to help realize where a rational expression may not be defined and how we can go about simplifying it.", + "title": "Simplifying rational expressions", + "kind": "Topic", + "id": "simplifying-rational-expressions", + "topic_page_url": "/math/trigonometry/polynomial_and_rational/simplifying-rational-expressions", + "path": "/math/trigonometry/polynomial_and_rational/simplifying-rational-expressions/", + "extended_slug": "math/trigonometry/polynomial_and_rational/simplifying-rational-expressions" + }, + "undetermined-coefficients": { + "slug": "undetermined-coefficients", + "hide": false, + "description": "Now we can apply some of our second order linear differential equations skills to nonhomogeneous equations. Yay!", + "title": "Method of undetermined coefficients", + "kind": "Topic", + "id": "undetermined-coefficients", + "topic_page_url": "/math/differential-equations/second-order-differential-equations/undetermined-coefficients", + "path": "/math/differential-equations/second-order-differential-equations/undetermined-coefficients/", + "extended_slug": "math/differential-equations/second-order-differential-equations/undetermined-coefficients" + }, + "mutual-funds": { + "slug": "mutual-funds", + "hide": false, + "description": "If we're not in the mood to research and pick our own stocks, mutual funds and/or ETFs might be a good option. This tutorial explains what they are and how they are different.", + "title": "Mutual funds and ETFs", + "kind": "Topic", + "id": "mutual-funds", + "topic_page_url": "/science/core-finance/investment-vehicles-tutorial/mutual-funds", + "path": "/science/core-finance/investment-vehicles-tutorial/mutual-funds/", + "extended_slug": "science/core-finance/investment-vehicles-tutorial/mutual-funds" + }, + "chi-square": { + "slug": "chi-square", + "hide": false, + "description": "You've gotten good at hypothesis testing when you can make assumptions about the underlying distributions. In this tutorial, we'll learn about a new distribution (the chi-square one) and how it can help you (yes, you) infer what an underlying distribution even is!", + "title": "Chi-square probability distribution", + "kind": "Topic", + "id": "chi-square", + "topic_page_url": "/math/probability/statistics/chi-square", + "path": "/math/probability/statistics-inferential/chi-square/", + "extended_slug": "math/probability/statistics/chi-square" + }, + "geithner-plan": { + "slug": "geithner-plan", + "hide": false, + "description": "The poop really started to hit the fan in the fall of 2008. When the new administration took office in early 2009, the poop was still there. This is tutorial explains an attempt--probably not a well thought out one--to clean the poop and slow the fan.\n\nVideos on the Geithner Plan to solve the continuing banking crisis in early 2009.", + "title": "Geithner Plan", + "kind": "Topic", + "id": "geithner-plan", + "topic_page_url": "/science/core-finance/money-and-banking/geithner-plan", + "path": "/science/core-finance/money-and-banking/geithner-plan/", + "extended_slug": "science/core-finance/money-and-banking/geithner-plan" + }, + "line_integrals_vectors": { + "slug": "line_integrals_vectors", + "hide": false, + "description": "You've done some work with line integral with scalar functions and you know something about parameterizing position-vector valued functions. In that case, welcome! You are now ready to explore a core tool math and physics: the line integral for vector fields. Need to know the work done as a mass is moved through a gravitational field. No sweat with line integrals.", + "title": "Line integrals in vector fields", + "kind": "Topic", + "id": "line_integrals_vectors", + "topic_page_url": "/math/calculus/line_integrals_topic/line_integrals_vectors", + "path": "/math/calculus/line_integrals_topic/line_integrals_vectors/", + "extended_slug": "math/calculus/line_integrals_topic/line_integrals_vectors" + }, + "core-finance": { + "slug": "core-finance", + "hide": false, + "description": "Videos on finance and macroeconomics", + "title": "Finance and capital markets", + "kind": "Topic", + "id": "core-finance", + "topic_page_url": "/science/core-finance", + "path": "/science/core-finance/", + "extended_slug": "science/core-finance" + }, + "equation-of-a-line": { + "slug": "equation-of-a-line", + "hide": false, + "description": "You know a bit about slope and intercepts, but want to know more about all the ways you can represent the equation of a line including slope-intercept form, point-slope form, and standard form.\n\nThis tutorial will satisfy that curiosity!", + "title": "Equation of a line", + "kind": "Topic", + "id": "equation-of-a-line", + "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line", + "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/", + "extended_slug": "math/algebra/linear-equations-and-inequalitie/equation-of-a-line" + }, + "hyperbolic_trig_intro": { + "slug": "hyperbolic_trig_intro", + "hide": false, + "description": "You know your regular trig functions that are defined with the help of the unit circle. We will now define a new class of functions constructed from exponentials that have an eery resemblance to those classic trig functions (but are still quite different).", + "title": "Intro to hyperbolic trigonometric functions", + "kind": "Topic", + "id": "hyperbolic_trig_intro", + "topic_page_url": "/math/trigonometry/hyperbolic_trig_topic/hyperbolic_trig_intro", + "path": "/math/trigonometry/hyperbolic_trig_topic/hyperbolic_trig_intro/", + "extended_slug": "math/trigonometry/hyperbolic_trig_topic/hyperbolic_trig_intro" + }, + "earth-title-topic": { + "slug": "earth-title-topic", + "hide": false, + "description": "What causes the seasons? Even more, can Earth's climate change over long period just to \"wobbles\" in its orbit? This tutorial explains it all. You'll know more about orbits (and precession and Milankovitch cycles) than you ever thought possible. Have fun!", + "title": "Earth's rotation and tilt", + "kind": "Topic", + "id": "earth-title-topic", + "topic_page_url": "/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic", + "path": "/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/", + "extended_slug": "science/cosmology-and-astronomy/earth-history-topic/earth-title-topic" + }, + "price-discrimination-tutorial": { + "slug": "price-discrimination-tutorial", + "hide": false, + "description": "This short tutorial explores how a wine business can utilize first-degree price discrimination to maximize economic profit (it uses many of the ideas we've explored in the rest of this tutorial).", + "title": "Price discrimination", + "kind": "Topic", + "id": "price-discrimination-tutorial", + "topic_page_url": "/science/microeconomics/firm-economic-profit/price-discrimination-tutorial", + "path": "/science/microeconomics/firm-economic-profit/price-discrimination-tutorial/", + "extended_slug": "science/microeconomics/firm-economic-profit/price-discrimination-tutorial" + }, + "graphing_functions": { + "slug": "graphing_functions", + "hide": false, + "description": "You've already graphed functions when you graphed lines and curves in other topics so this really isn't anything new. Now we'll do a few more examples in this tutorial, but we'll use the function notation to make things a bit more explicit.", + "title": "Graphing functions", + "kind": "Topic", + "id": "graphing_functions", + "topic_page_url": "/math/algebra/algebra-functions/graphing_functions", + "path": "/math/algebra/algebra-functions/graphing_functions/", + "extended_slug": "math/algebra/algebra-functions/graphing_functions" + }, + "partial-fraction-expansion": { + "slug": "partial-fraction-expansion", + "hide": false, + "description": "If you add several rational expressions with lower degree denominator, you are likely to get a sum with a higher degree denominator (which is the least-common multiple of the lower-degree ones). This tutorial lets us think about going the other way--start with a rational expression with a higher degree denominator and break it up as the sum of simpler rational expressions.\n\nThis has many uses throughout mathematics. In particular, it is key when taking inverse Laplace transforms in differential equations (which you'll take, and rock, after calculus).", + "title": "Partial fraction expansion", + "kind": "Topic", + "id": "partial-fraction-expansion", + "topic_page_url": "/math/trigonometry/polynomial_and_rational/partial-fraction-expansion", + "path": "/math/trigonometry/polynomial_and_rational/partial-fraction-expansion/", + "extended_slug": "math/trigonometry/polynomial_and_rational/partial-fraction-expansion" + }, + "add-sub-negatives": { + "slug": "add-sub-negatives", + "hide": false, + "description": "What is a \"negative number\"? What happens when I add or subtract one of these?\n\nIf you come to this tutorial armed with the basics of adding an subtracting numbers, you'll learn about what happens in the world below zero! You will learn what negative numbers are and how we can add and subtract them.", + "title": "Negative number basics", + "kind": "Topic", + "id": "add-sub-negatives", + "topic_page_url": "/math/arithmetic/absolute-value/add-sub-negatives", + "path": "/math/arithmetic/absolute-value/add-sub-negatives/", + "extended_slug": "math/arithmetic/absolute-value/add-sub-negatives" + }, + "seq_series_review": { + "slug": "seq_series_review", + "hide": false, + "description": "You want to learn about Maclaurin and Taylor series but are a little rough on your sequences and series. This tutorial will get you brushed up on the concepts, vocabulary and ideas behind sequences and series.", + "title": "Sequences and series review", + "kind": "Topic", + "id": "seq_series_review", + "topic_page_url": "/math/calculus/sequences_series_approx_calc/seq_series_review", + "path": "/math/calculus/sequences_series_approx_calc/seq_series_review/", + "extended_slug": "math/calculus/sequences_series_approx_calc/seq_series_review" + }, + "regression": { + "slug": "regression", + "hide": false, + "description": "Fitting a line to points. Linear regression. R-squared.", + "title": "Regression", + "kind": "Topic", + "id": "regression", + "topic_page_url": "/math/probability/regression", + "path": "/math/probability/regression/", + "extended_slug": "math/probability/regression" + }, + "diels-alder-reaction": { + "slug": "diels-alder-reaction", + "hide": false, + "description": "In this tutorial, Jay shows the mechanism, stereochemistry, and regiochemistry for the classic Diels-Alder reaction.", + "title": "Diels-alder reaction", + "kind": "Topic", + "id": "diels-alder-reaction", + "topic_page_url": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/diels-alder-reaction", + "path": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/diels-alder-reaction/", + "extended_slug": "science/organic-chemistry/conjugation-diels-alder-mo-theory/diels-alder-reaction" + }, + "conic-sections": { + "slug": "conic-sections", + "hide": false, + "description": "Identifying and graphing circles, ellipses, parabolas, and hyperbolas.", + "title": "Conic sections", + "kind": "Topic", + "id": "conic-sections", + "topic_page_url": "/math/algebra/conic-sections", + "path": "/math/algebra/conic-sections/", + "extended_slug": "math/algebra/conic-sections" + }, + "circles": { + "slug": "circles", + "hide": false, + "description": null, + "title": "Circles", + "kind": "Topic", + "id": "circles", + "topic_page_url": "/math/geometry/circles", + "path": "/math/geometry/circles/", + "extended_slug": "math/geometry/circles" + }, + "mult_div_negatives": { + "slug": "mult_div_negatives", + "hide": false, + "description": "It is starting to dawn on you that negative numbers are incredibly awesome. So awesome that you are feeling embarrassed to think how excited you are about them!\n\nWell, the journey is just beginning. In this tutorial we will think about multiplying and dividing numbers throughout the number line!", + "title": "Multiplying and dividing negative numbers", + "kind": "Topic", + "id": "mult_div_negatives", + "topic_page_url": "/math/arithmetic/absolute-value/mult_div_negatives", + "path": "/math/arithmetic/absolute-value/mult_div_negatives/", + "extended_slug": "math/arithmetic/absolute-value/mult_div_negatives" + }, + "corporate-taxation": { + "slug": "corporate-taxation", + "hide": false, + "description": "In exchange for being treated as a person-like-legal entity (and the limited liability this gives for its owners), most corporations pay taxes. This tutorial focuses on what corporations are, \"double taxation\" and a few ways that multinationals might try to get out of paying taxes.", + "title": "Corporate taxation", + "kind": "Topic", + "id": "corporate-taxation", + "topic_page_url": "/science/core-finance/taxes-topic/corporate-taxation", + "path": "/science/core-finance/taxes-topic/corporate-taxation/", + "extended_slug": "science/core-finance/taxes-topic/corporate-taxation" + }, + "diastereomers-meso-compounds": { + "slug": "diastereomers-meso-compounds", + "hide": false, + "description": "In this tutorial, Sal and Jay define stereoisomers, diastereomers, and meso compounds.", + "title": "Diastereomers and meso compounds", + "kind": "Topic", + "id": "diastereomers-meso-compounds", + "topic_page_url": "/science/organic-chemistry/stereochemistry-topic/diastereomers-meso-compounds", + "path": "/science/organic-chemistry/stereochemistry-topic/diastereomers-meso-compounds/", + "extended_slug": "science/organic-chemistry/stereochemistry-topic/diastereomers-meso-compounds" + }, + "lin_trans_examples": { + "slug": "lin_trans_examples", + "hide": false, + "description": "In this tutorial, we do several examples of actually constructing transformation matrices. Very useful if you've got some actual transforming to do (especially scaling, rotating and projecting) ;)", + "title": "Linear transformation examples", + "kind": "Topic", + "id": "lin_trans_examples", + "topic_page_url": "/math/linear-algebra/matrix_transformations/lin_trans_examples", + "path": "/math/linear-algebra/matrix_transformations/lin_trans_examples/", + "extended_slug": "math/linear-algebra/matrix_transformations/lin_trans_examples" + }, + "labor-marginal-product-rev": { + "slug": "labor-marginal-product-rev", + "hide": false, + "description": "Constructing a demand curve for an individual firm by thinking about how much increment benefit they get from an incremental employee (marginal product of labor (MPL) and marginal product revenue (MPR). We later think about how we can add these \"demand\" curves to construct a \"demand\" curve for the market for labor in this industry.", + "title": "Labor and marginal product revenue", + "kind": "Topic", + "id": "labor-marginal-product-rev", + "topic_page_url": "/science/microeconomics/firm-economic-profit/labor-marginal-product-rev", + "path": "/science/microeconomics/firm-economic-profit/labor-marginal-product-rev/", + "extended_slug": "science/microeconomics/firm-economic-profit/labor-marginal-product-rev" + }, + "yoga_plans": { + "slug": "yoga_plans", + "hide": false, + "description": "This tutorial is a survey of all the core ideas in a traditional first-year algebra course. It is by no means comprehensive (that's what the other 600+ videos are for), but it will hopefully whet your appetite for more algebra!", + "title": "Yoga plans", + "kind": "Topic", + "id": "yoga_plans", + "topic_page_url": "/math/algebra/introduction-to-algebra/yoga_plans", + "path": "/math/algebra/introduction-to-algebra/yoga_plans/", + "extended_slug": "math/algebra/introduction-to-algebra/yoga_plans" + }, + "synthesis-alcohols-tutorial": { + "slug": "synthesis-alcohols-tutorial", + "hide": false, + "description": "In this tutorial, Jay shows how to synthesize alcohols using sodium borohydride, lithium aluminum hydride, and grignard reagents.", + "title": "Synthesis of alcohols", + "kind": "Topic", + "id": "synthesis-alcohols-tutorial", + "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-alcohols-tutorial", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-alcohols-tutorial/", + "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-alcohols-tutorial" + }, + "ira-401ks": { + "slug": "ira-401ks", + "hide": false, + "description": "The government apparently wants us to save for retirement (not always obvious because it also wants us to spend as much as possible to pump the economy going into the next election cycle). To encourage this, it has created some ways to save that avoid or defer taxes: IRAs and 401ks.", + "title": "Retirement accounts: IRAs and 401ks", + "kind": "Topic", + "id": "ira-401ks", + "topic_page_url": "/science/core-finance/investment-vehicles-tutorial/ira-401ks", + "path": "/science/core-finance/investment-vehicles-tutorial/ira-401ks/", + "extended_slug": "science/core-finance/investment-vehicles-tutorial/ira-401ks" + }, + "circum_area_circles": { + "slug": "circum_area_circles", + "hide": false, + "description": "Circles are everywhere. How can we measure how big they are? Well, we could think about the distance around the circle (circumference). Another option would be to think about how much space it takes up on our paper (area). Have fun!", + "title": "Circumference and area of circles", + "kind": "Topic", + "id": "circum_area_circles", + "topic_page_url": "/math/geometry/basic-geometry/circum_area_circles", + "path": "/math/geometry/basic-geometry/circum_area_circles/", + "extended_slug": "math/geometry/basic-geometry/circum_area_circles" + }, + "subspace_basis": { + "slug": "subspace_basis", + "hide": false, + "description": "In this tutorial, we'll define what a \"subspace\" is --essentially a subset of vectors that has some special properties. We'll then think of a set of vectors that can most efficiently be use to construct a subspace which we will call a \"basis\".", + "title": "Subspaces and the basis for a subspace", + "kind": "Topic", + "id": "subspace_basis", + "topic_page_url": "/math/linear-algebra/vectors_and_spaces/subspace_basis", + "path": "/math/linear-algebra/vectors_and_spaces/subspace_basis/", + "extended_slug": "math/linear-algebra/vectors_and_spaces/subspace_basis" + }, + "partial_quotient_division": { + "slug": "partial_quotient_division", + "hide": false, + "description": "Feeling constrained by traditional long division? Want to impress your friends, family and even your enemies? Well, partial quotient division may be for you (or it might not). This very optional tutorial will show you that there are many ways to slice a walnut (just made up that colloquialism).", + "title": "Partial quotient division", + "kind": "Topic", + "id": "partial_quotient_division", + "topic_page_url": "/math/arithmetic/multiplication-division/partial_quotient_division", + "path": "/math/arithmetic/multiplication-division/partial_quotient_division/", + "extended_slug": "math/arithmetic/multiplication-division/partial_quotient_division" + }, + "personal-bankruptcy-tut": { + "slug": "personal-bankruptcy-tut", + "hide": false, + "description": "Back in the day (like medieval Europe), you would actually be thrown in jail if you couldn't pay your debts (debtor's prison). That seemed like a pretty awful thing to do (not to mention that lenders are much less likely to be paid by someone rotting in prison), so governments created an \"out\" called bankruptcy (which, as you'll see, is a pseudo-painful \"reset\" button on your finances).", + "title": "Personal bankruptcy", + "kind": "Topic", + "id": "personal-bankruptcy-tut", + "topic_page_url": "/science/core-finance/interest-tutorial/personal-bankruptcy-tut", + "path": "/science/core-finance/interest-tutorial/personal-bankruptcy-tut/", + "extended_slug": "science/core-finance/interest-tutorial/personal-bankruptcy-tut" + }, + "aggregate-supply-demand-topic": { + "slug": "aggregate-supply-demand-topic", + "hide": false, + "description": "Aggregate demand and aggregate supply. Keynesian thinking. Demand-pull and cost-push inflation. Fiscal and monetary policy.", + "title": "Aggregate demand and aggregate supply", + "kind": "Topic", + "id": "aggregate-supply-demand-topic", + "topic_page_url": "/science/macroeconomics/aggregate-supply-demand-topic", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/", + "extended_slug": "science/macroeconomics/aggregate-supply-demand-topic" + }, + "scale-earth-galaxy-tutorial": { + "slug": "scale-earth-galaxy-tutorial", + "hide": false, + "description": "The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are apart of. Enjoy the fact that we get to be part of this vastness!", + "title": "Scale of earth, sun, galaxy and universe", + "kind": "Topic", + "id": "scale-earth-galaxy-tutorial", + "topic_page_url": "/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/", + "extended_slug": "science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial" + }, + "radians_tutorial": { + "slug": "radians_tutorial", + "hide": false, + "description": "Most people know that you can measure angles with degrees, but only exceptionally worldly people know that radians can be an exciting alternative. As you'll see, degrees are somewhat arbitrary (if we lived on a planet that took 600 days to orbit its star, we'd probably have 600 degrees in a full revolution). Radians are pure. Seriously, they are measuring the angle in terms of how long the arc that subtends them is (measured in radiuseseses). If that makes no sense, imagine measuring a bridge with car lengths. If that still doesn't make sense, watch this tutorial!", + "title": "Radians", + "kind": "Topic", + "id": "radians_tutorial", + "topic_page_url": "/math/trigonometry/basic-trigonometry/radians_tutorial", + "path": "/math/trigonometry/basic-trigonometry/radians_tutorial/", + "extended_slug": "math/trigonometry/basic-trigonometry/radians_tutorial" + }, + "Launcher": { + "slug": "Launcher", + "hide": false, + "description": "This topic focuses on how to design and create products that solve real problems and bring academic content to life.", + "title": "Projectile Launcher", + "kind": "Topic", + "id": "Launcher", + "topic_page_url": "/science/projects/Launcher", + "path": "/science/projects/Launcher/", + "extended_slug": "science/projects/Launcher" + }, + "conic_parabolas": { + "slug": "conic_parabolas", + "hide": false, + "description": "You've seen parabolas already when you graphed quadratic functions. Now we will look at them from a conic perspective. In particular we will look at them as the set of all points equidistant from a point (focus) and a line (directrix). Have fun!", + "title": "Parabolas", + "kind": "Topic", + "id": "conic_parabolas", + "topic_page_url": "/math/algebra/conic-sections/conic_parabolas", + "path": "/math/algebra/conic-sections/conic_parabolas/", + "extended_slug": "math/algebra/conic-sections/conic_parabolas" + }, + "matrix_multiplication": { + "slug": "matrix_multiplication", + "hide": false, + "description": "You know what a matrix is, how to add them and multiply them by a scalar. Now we'll define multiplying one matrix by another matrix. The process may seem bizarre at first (and maybe even a little longer than that), but there is a certain naturalness to the process. When you study more advanced linear algebra and computer science, it has tons of applications (computer graphics, simulations, etc.)", + "title": "Matrix multiplication", + "kind": "Topic", + "id": "matrix_multiplication", + "topic_page_url": "/math/algebra/algebra-matrices/matrix_multiplication", + "path": "/math/algebra/algebra-matrices/matrix_multiplication/", + "extended_slug": "math/algebra/algebra-matrices/matrix_multiplication" + }, + "prime_numbers": { + "slug": "prime_numbers", + "hide": false, + "description": "Prime numbers have been studied by mathematicians and mystics for ages (seriously). They are both basic and mysterious. The more you explore them, the more you will realize that the universe is a fascinating place. This tutorial will introduce you to the magical world of prime numbers.", + "title": "Prime numbers", + "kind": "Topic", + "id": "prime_numbers", + "topic_page_url": "/math/arithmetic/factors-multiples/prime_numbers", + "path": "/math/arithmetic/factors-multiples/prime_numbers/", + "extended_slug": "math/arithmetic/factors-multiples/prime_numbers" + }, + "choices-opp-cost-tutorial": { + "slug": "choices-opp-cost-tutorial", + "hide": false, + "description": "How do you decide what to produce or trade? How can you maximize happiness in a world of scarcity. What are you giving up when you choose something (i.e., opportunity cost)?", + "title": "Scarcity, possibilities, preferences and opportunity cost", + "kind": "Topic", + "id": "choices-opp-cost-tutorial", + "topic_page_url": "/science/microeconomics/choices-opp-cost-tutorial", + "path": "/science/microeconomics/choices-opp-cost-tutorial/", + "extended_slug": "science/microeconomics/choices-opp-cost-tutorial" + }, + "thiols-sulfides": { + "slug": "thiols-sulfides", + "hide": false, + "description": "In this tutorial, Jay shows how to prepare sulfides from thiols.", + "title": "Thiols and sulfides", + "kind": "Topic", + "id": "thiols-sulfides", + "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/thiols-sulfides", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/thiols-sulfides/", + "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/thiols-sulfides" + }, + "old_school_similarity": { + "slug": "old_school_similarity", + "hide": false, + "description": "These videos may look similar (pun-intended) to videos in another playlist but they are older, rougher and arguably more charming. These are some of the original videos that Sal made on similarity. They are less formal than those in the \"other\" similarity tutorial, but, who knows, you might like them more.", + "title": "Old school similarity", + "kind": "Topic", + "id": "old_school_similarity", + "topic_page_url": "/math/geometry/similarity/old_school_similarity", + "path": "/math/geometry/similarity/old_school_similarity/", + "extended_slug": "math/geometry/similarity/old_school_similarity" + }, + "function_introduction": { + "slug": "function_introduction", + "hide": false, + "description": "You've already been using functions in algebra, but just didn't realize it. Now you will. By introducing a little more notation and a few new ideas, you'll hopefully realize that functions are a very, very powerful tool.\n\nThis tutorial is an old one that Sal made in the early days of Khan Academy. It is rough on the edges (and in between the edges), but it does go through the basic idea of what a function is and how we can define and evaluate functions.", + "title": "Introduction to functions", + "kind": "Topic", + "id": "function_introduction", + "topic_page_url": "/math/trigonometry/functions_and_graphs/function_introduction", + "path": "/math/trigonometry/functions_and_graphs/function_introduction/", + "extended_slug": "math/trigonometry/functions_and_graphs/function_introduction" + }, + "sampling_distribution": { + "slug": "sampling_distribution", + "hide": false, + "description": "In this tutorial, we experience one of the most exciting ideas in statistics--the central limit theorem. Without it, it would be a lot harder to make any inferences about population parameters given sample statistics. It tells us that, regardless of what the population distribution looks like, the distribution of the sample means (you'll learn what that is) can be normal.\n\nGood idea to understand a bit about normal distributions before diving into this tutorial.", + "title": "Sampling distribution", + "kind": "Topic", + "id": "sampling_distribution", + "topic_page_url": "/math/probability/statistics-inferential/sampling_distribution", + "path": "/math/probability/statistics-inferential/sampling_distribution/", + "extended_slug": "math/probability/statistics-inferential/sampling_distribution" + }, + "carboxylic-acids-derivatives": { + "slug": "carboxylic-acids-derivatives", + "hide": false, + "description": "naming carboxylic acids, formation of carboxylic acid derivatives", + "title": "Carboxylic acids and derivatives", + "kind": "Topic", + "id": "carboxylic-acids-derivatives", + "topic_page_url": "/science/organic-chemistry/carboxylic-acids-derivatives", + "path": "/science/organic-chemistry/carboxylic-acids-derivatives/", + "extended_slug": "science/organic-chemistry/carboxylic-acids-derivatives" + }, + "cap-util-inflation": { + "slug": "cap-util-inflation", + "hide": false, + "description": "This tutorial starts with a very \"micro\" view of when firms decide to raise (or lower prices). It then jumps back to the macro view to discuss how capacity utilization can impact prices.", + "title": "Capacity utilization and inflation", + "kind": "Topic", + "id": "cap-util-inflation", + "topic_page_url": "/science/core-finance/inflation-tutorial/cap-util-inflation", + "path": "/science/core-finance/inflation-tutorial/cap-util-inflation/", + "extended_slug": "science/core-finance/inflation-tutorial/cap-util-inflation" + }, + "algebra-i": { + "slug": "algebra-i", + "hide": false, + "description": "Sal works through the problems from the CA Standards released questions. It is best first to go through the algebra topic first as it is more comprehensive.", + "title": "Algebra I", + "kind": "Topic", + "id": "algebra-i", + "topic_page_url": "/test-prep/california-standards-test/algebra-i", + "path": "/test-prep/california-standards-test/algebra-i/", + "extended_slug": "test-prep/california-standards-test/algebra-i" + }, + "history-life-earth-tutorial": { + "slug": "history-life-earth-tutorial", + "hide": false, + "description": "Earth is over 4.5 billion years old. How do we know this? When did life first emerge? \n\nFrom the dawn of Earth as a planet to the first primitive life forms to our \"modern\" species, this tutorial is an epic journey of the history of life on Earth.", + "title": "History of life on Earth", + "kind": "Topic", + "id": "history-life-earth-tutorial", + "topic_page_url": "/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial", + "path": "/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/", + "extended_slug": "science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial" + }, + "least_common_multiple": { + "slug": "least_common_multiple", + "hide": false, + "description": "Life is good, but it can always get better. Just imagine being able to find the smallest number that is a multiple of two other numbers! Other than making your life more fulfilling, it will allow you to do incredible things like adding fractions.", + "title": "Least common multiple", + "kind": "Topic", + "id": "least_common_multiple", + "topic_page_url": "/math/arithmetic/factors-multiples/least_common_multiple", + "path": "/math/arithmetic/factors-multiples/least_common_multiple/", + "extended_slug": "math/arithmetic/factors-multiples/least_common_multiple" + }, + "critical_points_graphing": { + "slug": "critical_points_graphing", + "hide": false, + "description": "A whole slew of fun concepts related to graphing with calculus", + "title": "Critical points and graphing with calculus", + "kind": "Topic", + "id": "critical_points_graphing", + "topic_page_url": "/math/calculus/derivative_applications/critical_points_graphing", + "path": "/math/calculus/derivative_applications/critical_points_graphing/", + "extended_slug": "math/calculus/derivative_applications/critical_points_graphing" + }, + "logarithm_properties": { + "slug": "logarithm_properties", + "hide": false, + "description": "You want to go deeper in your understanding of logarithms. This tutorial does just that by exploring properties of logarithms that will help you manipulate them in entirely new ways (mostly falling out of exponent properties).", + "title": "Logarithm properties", + "kind": "Topic", + "id": "logarithm_properties", + "topic_page_url": "/math/algebra/logarithms-tutorial/logarithm_properties", + "path": "/math/algebra/logarithms-tutorial/logarithm_properties/", + "extended_slug": "math/algebra/logarithms-tutorial/logarithm_properties" + }, + "art-history-1907-1960-age-of-global-conflict": { + "slug": "art-history-1907-1960-age-of-global-conflict", + "hide": false, + "description": "", + "title": "1907-1960 Age of Global Conflict", + "kind": "Topic", + "id": "art-history-1907-1960-age-of-global-conflict", + "topic_page_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict", + "path": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/", + "extended_slug": "humanities/art-history/art-history-1907-1960-age-of-global-conflict" + }, + "direct_inverse_variation": { + "slug": "direct_inverse_variation", + "hide": false, + "description": "Whether you are talking about how force relates to acceleration or how the cost of movie tickets relates to the number of people going, it is not uncommon in this universe for things to vary directly. Similarly, when you are, say, talking about how hunger might relate to seeing roadkill, things can vary inversely.\n\nThis tutorial digs deeper into these ideas with a bunch of examples of direct and inverse variation.", + "title": "Direct and inverse variation", + "kind": "Topic", + "id": "direct_inverse_variation", + "topic_page_url": "/math/algebra/algebra-functions/direct_inverse_variation", + "path": "/math/algebra/algebra-functions/direct_inverse_variation/", + "extended_slug": "math/algebra/algebra-functions/direct_inverse_variation" + }, + "chemistry": { + "slug": "chemistry", + "hide": false, + "description": "Videos on chemistry (roughly covering a first-year high school or college course).", + "title": "Chemistry", + "kind": "Topic", + "id": "chemistry", + "topic_page_url": "/science/chemistry", + "path": "/science/chemistry/", + "extended_slug": "science/chemistry" + }, + "parametric": { + "slug": "parametric", + "hide": false, + "description": "Here we will explore representing our x's and y's in terms of a third variable or parameter (often 't'). Not only can we describe new things, but it can be super useful for describing things like particle motion in physics.", + "title": "Parametric equations", + "kind": "Topic", + "id": "parametric", + "topic_page_url": "/math/trigonometry/parametric_equations/parametric", + "path": "/math/trigonometry/parametric_equations/parametric/", + "extended_slug": "math/trigonometry/parametric_equations/parametric" + }, + "deflation-inflation-scenarios-tutorial": { + "slug": "deflation-inflation-scenarios-tutorial", + "hide": false, + "description": "This tutorial walks through various scenarios of moderate and extreme price changes. Very good way to understand how activity in the economy may impact price (and vice versa).", + "title": "Inflationary and deflationary scenarios", + "kind": "Topic", + "id": "deflation-inflation-scenarios-tutorial", + "topic_page_url": "/science/macroeconomics/inflation-topic/deflation-inflation-scenarios-tutorial", + "path": "/science/macroeconomics/inflation-topic/deflation-inflation-scenarios-tutorial/", + "extended_slug": "science/macroeconomics/inflation-topic/deflation-inflation-scenarios-tutorial" + }, + "indefinite_integrals": { + "slug": "indefinite_integrals", + "hide": false, + "description": "You are very familiar with taking the derivative of a function. Now we are going to go the other way around--if I give you a derivative of a function, can you come up with a possible original function. In other words, we'll be taking the anti-derivative!", + "title": "Indefinite integral as anti-derivative", + "kind": "Topic", + "id": "indefinite_integrals", + "topic_page_url": "/math/calculus/integral-calculus/indefinite_integrals", + "path": "/math/calculus/integral-calculus/indefinite_integrals/", + "extended_slug": "math/calculus/integral-calculus/indefinite_integrals" + }, + "forex-trade-topic": { + "slug": "forex-trade-topic", + "hide": false, + "description": "Balance of payments. Current account. Capital account. Currency reserves and speculative attacks.", + "title": "Foreign exchange and trade", + "kind": "Topic", + "id": "forex-trade-topic", + "topic_page_url": "/science/macroeconomics/forex-trade-topic", + "path": "/science/macroeconomics/forex-trade-topic/", + "extended_slug": "science/macroeconomics/forex-trade-topic" + }, + "cartels-cheat-tutorial": { + "slug": "cartels-cheat-tutorial", + "hide": false, + "description": "You know what Nash equilibrium is (from the other tutorial). Now we apply it to a scenario that is fairly realistic--parties to a cartel cheating.\n\nA cartel is a group of actors that agree (sometimes illegally) to coordinate their production/pricing to maximize their collective economic profit. What we will see, however, is that this is not a \"Pareto optimal\" state and they will soon start producing more than agreed on.", + "title": "Why parties in a cartel will cheat", + "kind": "Topic", + "id": "cartels-cheat-tutorial", + "topic_page_url": "/science/microeconomics/nash-equilibrium-tutorial/cartels-cheat-tutorial", + "path": "/science/microeconomics/nash-equilibrium-tutorial/cartels-cheat-tutorial/", + "extended_slug": "science/microeconomics/nash-equilibrium-tutorial/cartels-cheat-tutorial" + }, + "interest-basics-tutorial": { + "slug": "interest-basics-tutorial", + "hide": false, + "description": "This is a good introduction to the basic concept of interest. We will warn you that it is an older video so Sal's sound and handwriting weren't quite up to snuff then.", + "title": "Interest basics", + "kind": "Topic", + "id": "interest-basics-tutorial", + "topic_page_url": "/science/core-finance/interest-tutorial/interest-basics-tutorial", + "path": "/science/core-finance/interest-tutorial/interest-basics-tutorial/", + "extended_slug": "science/core-finance/interest-tutorial/interest-basics-tutorial" + }, + "exp_growth_decay": { + "slug": "exp_growth_decay", + "hide": false, + "description": "From compound interest to population growth to half lives of radioactive materials, it all comes down to exponential growth and decay.", + "title": "Exponential growth and decay", + "kind": "Topic", + "id": "exp_growth_decay", + "topic_page_url": "/math/trigonometry/exponential_and_logarithmic_func/exp_growth_decay", + "path": "/math/trigonometry/exponential_and_logarithmic_func/exp_growth_decay/", + "extended_slug": "math/trigonometry/exponential_and_logarithmic_func/exp_growth_decay" + }, + "greatest_common_divisor": { + "slug": "greatest_common_divisor", + "hide": false, + "description": "You know how to find factors of a number. But what about factors that are common to two numbers? Even better, imagine the largest factors that are common to two numbers. I know. Too exciting!", + "title": "Greatest common divisor", + "kind": "Topic", + "id": "greatest_common_divisor", + "topic_page_url": "/math/arithmetic/factors-multiples/greatest_common_divisor", + "path": "/math/arithmetic/factors-multiples/greatest_common_divisor/", + "extended_slug": "math/arithmetic/factors-multiples/greatest_common_divisor" + }, + "california-standards-test-algebra-2": { + "slug": "california-standards-test-algebra-2", + "hide": false, + "description": "Sal works through 80 questions taken from the California Standards Test for Algebra II. If you struggle with these you can get more help by viewing the algebra topic and completing its exercises.", + "title": "Algebra II", + "kind": "Topic", + "id": "california-standards-test-algebra-2", + "topic_page_url": "/test-prep/california-standards-test/california-standards-test-algebra-2", + "path": "/test-prep/california-standards-test/california-standards-test-algebra-2/", + "extended_slug": "test-prep/california-standards-test/california-standards-test-algebra-2" + }, + "position_vector_functions": { + "slug": "position_vector_functions", + "hide": false, + "description": "In this tutorial, we will explore position vector functions and think about what it means to take a derivative of one. Very valuable for thinking about what it means to take a line integral along a path in a vector field (next tutorial).", + "title": "Position vector functions and derivatives", + "kind": "Topic", + "id": "position_vector_functions", + "topic_page_url": "/math/calculus/line_integrals_topic/position_vector_functions", + "path": "/math/calculus/line_integrals_topic/position_vector_functions/", + "extended_slug": "math/calculus/line_integrals_topic/position_vector_functions" + }, + "consumer-producer-surplus": { + "slug": "consumer-producer-surplus", + "hide": false, + "description": "", + "title": "Consumer and producer surplus", + "kind": "Topic", + "id": "consumer-producer-surplus", + "topic_page_url": "/science/microeconomics/consumer-producer-surplus", + "path": "/science/microeconomics/consumer-producer-surplus/", + "extended_slug": "science/microeconomics/consumer-producer-surplus" + }, + "intro_functions": { + "slug": "intro_functions", + "hide": false, + "description": "You've already been using functions in algebra, but just didn't realize it. Now you will. By introducing a little more notation and a few new ideas, you'll hopefully realize that functions are a very, very powerful tool.\n\nThis tutorial is an old one that Sal made in the early days of Khan Academy. It is rough on the edges (and in between the edges), but it does go through the basic idea of what a function is and how we can define and evaluate functions.", + "title": "Introduction to functions (old tutorial)", + "kind": "Topic", + "id": "intro_functions", + "topic_page_url": "/math/algebra/algebra-functions/intro_functions", + "path": "/math/algebra/algebra-functions/intro_functions/", + "extended_slug": "math/algebra/algebra-functions/intro_functions" + }, + "arithmetic_properties": { + "slug": "arithmetic_properties", + "hide": false, + "description": "2 + 3 = 3 + 2, 6 x 4 = 4 x 6. Adding zero to a number does not change the number. Likewise, multiplying a number by 1 does not change it.\n\nYou may already know these things from working through other tutorials, but some people (not us) like to give these properties names that sound far more complicated than the property themselves. This tutorial (which we're not a fan of), is here just in case you're asked to identify the \"Commutative Law of Multiplication\". We believe the important thing isn't the fancy label, but the underlying idea (which isn't that fancy).", + "title": "Arithmetic properties", + "kind": "Topic", + "id": "arithmetic_properties", + "topic_page_url": "/math/arithmetic/order-of-operations/arithmetic_properties", + "path": "/math/arithmetic/order-of-operations/arithmetic_properties/", + "extended_slug": "math/arithmetic/order-of-operations/arithmetic_properties" + }, + "separable-equations": { + "slug": "separable-equations", + "hide": false, + "description": "Arguably the 'easiest' class of differential equations. Here we use our powers of algebra to \"separate\" the y's from the x's on two different sides of the equation and then we just integrate!", + "title": "Separable equations", + "kind": "Topic", + "id": "separable-equations", + "topic_page_url": "/math/differential-equations/first-order-differential-equations/separable-equations", + "path": "/math/differential-equations/first-order-differential-equations/separable-equations/", + "extended_slug": "math/differential-equations/first-order-differential-equations/separable-equations" + }, + "art-history-1400-1500-renaissance-in-italy-and-the-north": { + "slug": "art-history-1400-1500-renaissance-in-italy-and-the-north", + "hide": false, + "description": "", + "title": "1400-1500 Renaissance in Italy and the North", + "kind": "Topic", + "id": "art-history-1400-1500-renaissance-in-italy-and-the-north", + "topic_page_url": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north", + "path": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/", + "extended_slug": "humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north" + }, + "linear-equations-and-inequalitie": { + "slug": "linear-equations-and-inequalitie", + "hide": false, + "description": "Understanding the coordinate plane, slope, and intercept. Writing, solving, and graphing linear equations and inequalities.", + "title": "Graphing points, equations and inequalities", + "kind": "Topic", + "id": "linear-equations-and-inequalitie", + "topic_page_url": "/math/algebra/linear-equations-and-inequalitie", + "path": "/math/algebra/linear-equations-and-inequalitie/", + "extended_slug": "math/algebra/linear-equations-and-inequalitie" + }, + "torque-tutorial": { + "slug": "torque-tutorial", + "hide": false, + "description": "Until this tutorial, we have been completely ignoring that things rotate. In this tutorial, we'll explore why they rotate and how they do it. It will leave your head spinning (no, it won't, but seemed like a fun thing to say given the subject matter).", + "title": "Torque, moments and angular momentum", + "kind": "Topic", + "id": "torque-tutorial", + "topic_page_url": "/science/physics/torque-angular-momentum/torque-tutorial", + "path": "/science/physics/torque-angular-momentum/torque-tutorial/", + "extended_slug": "science/physics/torque-angular-momentum/torque-tutorial" + }, + "aggregate-supply-demand-tut": { + "slug": "aggregate-supply-demand-tut", + "hide": false, + "description": "This tutorial looks at supply and demand in aggregate-from the perspective of the entire economy (not just the market for one good or service). Instead of thinking of quantity of one good, we think of total output (GDP). Very useful model for thinking through macroeconomic events.", + "title": "Aggregate demand and aggregate supply", + "kind": "Topic", + "id": "aggregate-supply-demand-tut", + "topic_page_url": "/science/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut/", + "extended_slug": "science/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut" + }, + "old-projectile-motion": { + "slug": "old-projectile-motion", + "hide": false, + "description": "This tutorial has some of the old videos that Sal first did around 2007. This content is covered elsewhere, but some folks like the raw (and masculine) simplicity of these first lessons (Sal added the bit about \"masculine\").", + "title": "Old videos on projectile motion", + "kind": "Topic", + "id": "old-projectile-motion", + "topic_page_url": "/science/physics/one-dimensional-motion/old-projectile-motion", + "path": "/science/physics/one-dimensional-motion/old-projectile-motion/", + "extended_slug": "science/physics/one-dimensional-motion/old-projectile-motion" + }, + "anova": { + "slug": "anova", + "hide": false, + "description": "You already know a good bit about hypothesis testing with one or two samples. Now we take things further by making inferences based on three or more samples. We'll use the very special F-distribution to do it (F stands for \"fabulous\").", + "title": "Analysis of variance", + "kind": "Topic", + "id": "anova", + "topic_page_url": "/math/probability/statistics/anova", + "path": "/math/probability/statistics-inferential/anova/", + "extended_slug": "math/probability/statistics/anova" + }, + "Angle_basics": { + "slug": "Angle_basics", + "hide": false, + "description": "This tutorial will define what an angle is and help us think about how to measure them. If you're new to angles, this is a great place to start.", + "title": "Angle basics and measurement", + "kind": "Topic", + "id": "Angle_basics", + "topic_page_url": "/math/geometry/parallel-and-perpendicular-lines/Angle_basics", + "path": "/math/geometry/parallel-and-perpendicular-lines/Angle_basics/", + "extended_slug": "math/geometry/parallel-and-perpendicular-lines/Angle_basics" + }, + "change_of_basis": { + "slug": "change_of_basis", + "hide": false, + "description": "Finding a coordinate system boring. Even worse, does it make certain transformations difficult (especially transformations that you have to do over and over and over again)? Well, we have the tool for you: change your coordinate system to one that you like more. Sound strange? Watch this tutorial and it will be less so. Have fun!", + "title": "Change of basis", + "kind": "Topic", + "id": "change_of_basis", + "topic_page_url": "/math/linear-algebra/alternate_bases/change_of_basis", + "path": "/math/linear-algebra/alternate_bases/change_of_basis/", + "extended_slug": "math/linear-algebra/alternate_bases/change_of_basis" + }, + "cell-division": { + "slug": "cell-division", + "hide": false, + "description": "", + "title": "Cells and cell division", + "kind": "Topic", + "id": "cell-division", + "topic_page_url": "/science/biology/cell-division", + "path": "/science/biology/cell-division/", + "extended_slug": "science/biology/cell-division" + }, + "electricity-and-magnetism": { + "slug": "electricity-and-magnetism", + "hide": false, + "description": "", + "title": "Electricity and magnetism", + "kind": "Topic", + "id": "electricity-and-magnetism", + "topic_page_url": "/science/physics/electricity-and-magnetism", + "path": "/science/physics/electricity-and-magnetism/", + "extended_slug": "science/physics/electricity-and-magnetism" + }, + "healthcare-misc": { + "slug": "healthcare-misc", + "hide": false, + "description": "Enjoy this mix of videos on health care topics!", + "title": "Miscellaneous", + "kind": "Topic", + "id": "healthcare-misc", + "topic_page_url": "/science/healthcare-and-medicine/healthcare-misc", + "path": "/science/healthcare-and-medicine/healthcare-misc/", + "extended_slug": "science/healthcare-and-medicine/healthcare-misc" + }, + "order_of_operations": { + "slug": "order_of_operations", + "hide": false, + "description": "If you have the expression \"3 + 4 x 5\", do you add the 3 to the 4 first or multiply the 4 and 5 first? To clear up confusion here, the math world has defined which operation should get priority over others. This is super important. You won't really be able to to any involved math if you don't get this clear. But don't worry, this tutorial has your back.", + "title": "Order of operations", + "kind": "Topic", + "id": "order_of_operations", + "topic_page_url": "/math/arithmetic/multiplication-division/order_of_operations", + "path": "/math/arithmetic/multiplication-division/order_of_operations/", + "extended_slug": "math/arithmetic/multiplication-division/order_of_operations" + }, + "functions_and_graphs": { + "slug": "functions_and_graphs", + "hide": false, + "description": "Revisiting what a function is and how we can define and visualize one.", + "title": "Functions and their graphs", + "kind": "Topic", + "id": "functions_and_graphs", + "topic_page_url": "/math/trigonometry/functions_and_graphs", + "path": "/math/trigonometry/functions_and_graphs/", + "extended_slug": "math/trigonometry/functions_and_graphs" + }, + "maclaurin_taylor": { + "slug": "maclaurin_taylor", + "hide": false, + "description": "In this tutorial, we will learn to approximate differentiable functions with polynomials. Beyond just being super cool, this can be useful for approximating functions so that they are easier to calculate, differentiate or integrate. So whether you will have to write simulations or become a bond trader (bond traders use polynomial approximation to estimate changes in bond prices given interest rate changes and vice versa), this tutorial could be fun.\n\nIf that isn't motivation enough, we also come up with one of the most epic and powerful conclusions in all of mathematics in this tutorial: Euler's identity.", + "title": "Maclaurin and Taylor series", + "kind": "Topic", + "id": "maclaurin_taylor", + "topic_page_url": "/math/calculus/sequences_series_approx_calc/maclaurin_taylor", + "path": "/math/calculus/sequences_series_approx_calc/maclaurin_taylor/", + "extended_slug": "math/calculus/sequences_series_approx_calc/maclaurin_taylor" + }, + "hybridization": { + "slug": "hybridization", + "hide": false, + "description": "It's the liger of orbitals and essential to organic chemistry! In this tutorial, Sal discusses the hybridization of orbitals.", + "title": "Hybridization", + "kind": "Topic", + "id": "hybridization", + "topic_page_url": "/science/organic-chemistry/gen-chem-review/hybridization", + "path": "/science/organic-chemistry/gen-chem-review/hybridization/", + "extended_slug": "science/organic-chemistry/gen-chem-review/hybridization" + }, + "absolute-value-equations": { + "slug": "absolute-value-equations", + "hide": false, + "description": "You are absolutely tired of not knowing how to deal with equations that have absolute values in them. Well, this tutorial might help.", + "title": "Absolute value equations", + "kind": "Topic", + "id": "absolute-value-equations", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations", + "path": "/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations" + }, + "variable-and-expressions": { + "slug": "variable-and-expressions", + "hide": false, + "description": "Wait, why are we using letters in math? How can an 'x' represent a number? What number is it? I must figure this out!!! Yes, you must.\n\nThis tutorial is great if you're just beginning to delve into the world of algebraic variables and expressions.", + "title": "Variables and expressions", + "kind": "Topic", + "id": "variable-and-expressions", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/variable-and-expressions", + "path": "/math/algebra/solving-linear-equations-and-inequalities/variable-and-expressions/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/variable-and-expressions" + }, + "random_variables_prob_dist": { + "slug": "random_variables_prob_dist", + "hide": false, + "description": "", + "title": "Random variables and probability distributions", + "kind": "Topic", + "id": "random_variables_prob_dist", + "topic_page_url": "/math/probability/random-variables-topic/random_variables_prob_dist", + "path": "/math/probability/random-variables-topic/random_variables_prob_dist/", + "extended_slug": "math/probability/random-variables-topic/random_variables_prob_dist" + }, + "credit-card-interest": { + "slug": "credit-card-interest", + "hide": false, + "description": "Most of us have borrowed to buy something. Credit cards, in particular, can be quite convenient (but dangerous if not used in moderation).\n\nThis tutorial explains credit card interest, how credit card companies make money and a far more silly way of borrowing money called \"payday\" loans.", + "title": "Credit cards and loans", + "kind": "Topic", + "id": "credit-card-interest", + "topic_page_url": "/science/core-finance/interest-tutorial/credit-card-interest", + "path": "/science/core-finance/interest-tutorial/credit-card-interest/", + "extended_slug": "science/core-finance/interest-tutorial/credit-card-interest" + }, + "algebra-matrices": { + "slug": "algebra-matrices", + "hide": false, + "description": "Understanding and solving matrices.", + "title": "Matrices", + "kind": "Topic", + "id": "algebra-matrices", + "topic_page_url": "/math/algebra/algebra-matrices", + "path": "/math/algebra/algebra-matrices/", + "extended_slug": "math/algebra/algebra-matrices" + }, + "ring-opening-reactions-epoxides": { + "slug": "ring-opening-reactions-epoxides", + "hide": false, + "description": "In this tutorial, Sal and Jay show the SN1 and SN2 ring opening reactions of epoxides.", + "title": "Ring-opening reactions of epoxides", + "kind": "Topic", + "id": "ring-opening-reactions-epoxides", + "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/ring-opening-reactions-epoxides", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/ring-opening-reactions-epoxides/", + "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides/ring-opening-reactions-epoxides" + }, + "descriptive-statistics": { + "slug": "descriptive-statistics", + "hide": false, + "description": "Measures of central tendency and dispersion. Mean, median, mode, variance, and standard deviation.", + "title": "Descriptive statistics", + "kind": "Topic", + "id": "descriptive-statistics", + "topic_page_url": "/math/probability/descriptive-statistics", + "path": "/math/probability/descriptive-statistics/", + "extended_slug": "math/probability/descriptive-statistics" + }, + "long_live_tau": { + "slug": "long_live_tau", + "hide": false, + "description": "Pi (3.14159...) seems to get all of the attention in mathematics. On some level this is warranted. The ratio of the circumference of a circle to the diameter. Seems pretty pure. But what about the ratio of the circumference to the radius (which is two times pi and referred to as \"tau\")? Now that you know a bit of trigonometry, you'll discover in videos made by Sal and Vi that \"tau\" may be much more deserving of the throne!", + "title": "Long live Tau", + "kind": "Topic", + "id": "long_live_tau", + "topic_page_url": "/math/trigonometry/basic-trigonometry/long_live_tau", + "path": "/math/trigonometry/basic-trigonometry/long_live_tau/", + "extended_slug": "math/trigonometry/basic-trigonometry/long_live_tau" + }, + "projects": { + "slug": "projects", + "hide": false, + "description": "This section highlights hands-on projects designed to inspire real world explorations and critical thinking.", + "title": "Projects", + "kind": "Topic", + "id": "projects", + "topic_page_url": "/science/projects", + "path": "/science/projects/", + "extended_slug": "science/projects" + }, + "fetal-circulation": { + "slug": "fetal-circulation", + "hide": false, + "description": "Find out how the heart and circulatory system work in the fetus!", + "title": "Fetal Circulation", + "kind": "Topic", + "id": "fetal-circulation", + "topic_page_url": "/science/healthcare-and-medicine/fetal-circulation", + "path": "/science/healthcare-and-medicine/fetal-circulation/", + "extended_slug": "science/healthcare-and-medicine/fetal-circulation" + }, + "immunology": { + "slug": "immunology", + "hide": false, + "description": "", + "title": "Immunology", + "kind": "Topic", + "id": "immunology", + "topic_page_url": "/science/biology/immunology", + "path": "/science/biology/immunology/", + "extended_slug": "science/biology/immunology" + }, + "divisibility_and_factors": { + "slug": "divisibility_and_factors", + "hide": false, + "description": "In this tutorial, we'll begin to think about the numbers that \"make up\" the number. This will be useful throughout our study of math. Whether we are adding fractions, exploring mystical number patterns, or breaking computer codes, factoring numbers are key! Eye of the tiger!", + "title": "Divisibility and factors", + "kind": "Topic", + "id": "divisibility_and_factors", + "topic_page_url": "/math/arithmetic/factors-multiples/divisibility_and_factors", + "path": "/math/arithmetic/factors-multiples/divisibility_and_factors/", + "extended_slug": "math/arithmetic/factors-multiples/divisibility_and_factors" + }, + "currency-reserves": { + "slug": "currency-reserves", + "hide": false, + "description": "This tutorial delves into how and why countries (usually their central banks) would want to keep other countries' currency in reserve. It then goes into why this sometime leaves the reserve-holding country open to a speculative attack (this is seriously high drama).", + "title": "Currency reserves", + "kind": "Topic", + "id": "currency-reserves", + "topic_page_url": "/science/macroeconomics/forex-trade-topic/currency-reserves", + "path": "/science/macroeconomics/forex-trade-topic/currency-reserves/", + "extended_slug": "science/macroeconomics/forex-trade-topic/currency-reserves" + }, + "inverse_trig_functions": { + "slug": "inverse_trig_functions", + "hide": false, + "description": "Someone has taken the sine of an angle and got 0.85671 and they won't tell you what the angle is!!! You must know it! But how?!!!\n\nInverse trig functions are here to save your day (they often go under the aliases arcsin, arccos, and arctan).", + "title": "Inverse trig functions", + "kind": "Topic", + "id": "inverse_trig_functions", + "topic_page_url": "/math/trigonometry/basic-trigonometry/inverse_trig_functions", + "path": "/math/trigonometry/basic-trigonometry/inverse_trig_functions/", + "extended_slug": "math/trigonometry/basic-trigonometry/inverse_trig_functions" + }, + "More-equation-practice": { + "slug": "More-equation-practice", + "hide": false, + "description": "This tutorial is for you if you already have the basics of solving equations and are looking to put your newfound powers to work in more examples.", + "title": "More equation practice", + "kind": "Topic", + "id": "More-equation-practice", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice", + "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/More-equation-practice" + }, + "algebra_why": { + "slug": "algebra_why", + "hide": false, + "description": "Much of algebra seems obsessed with \"doing the same thing to both sides\". Why is this? How can we develop an intuition for which algebraic operations are valid and which ones aren't?\n\nThis tutorial takes a high-level, conceptual walk-through of what an equation represents and why we do the same thing to both sides of it.", + "title": "The why of algebra", + "kind": "Topic", + "id": "algebra_why", + "topic_page_url": "/math/algebra/introduction-to-algebra/algebra_why", + "path": "/math/algebra/introduction-to-algebra/algebra_why/", + "extended_slug": "math/algebra/introduction-to-algebra/algebra_why" + }, + "comp-number-theory": { + "slug": "comp-number-theory", + "hide": false, + "description": "Explore deeper properties of prime numbers while building algorithms which perform prime factorization & primality tests. A lesson by Brit Cruise", + "title": "Computational Number Theory", + "kind": "Topic", + "id": "comp-number-theory", + "topic_page_url": "/math/applied-math/comp-number-theory", + "path": "/math/applied-math/comp-number-theory/", + "extended_slug": "math/applied-math/comp-number-theory" + }, + "naming-alkenes-jay": { + "slug": "naming-alkenes-jay", + "hide": false, + "description": "In this tutorial, Jay names alkenes, discusses the stability of alkenes, and introduces the E/Z system.", + "title": "Alkene nomenclature", + "kind": "Topic", + "id": "naming-alkenes-jay", + "topic_page_url": "/science/organic-chemistry/alkenes-alkynes/naming-alkenes-jay", + "path": "/science/organic-chemistry/alkenes-alkynes/naming-alkenes-jay/", + "extended_slug": "science/organic-chemistry/alkenes-alkynes/naming-alkenes-jay" + }, + "computer-science": { + "slug": "computer-science", + "hide": false, + "description": "Introduction to programming and computer science", + "title": "Computer Science", + "kind": "Topic", + "id": "computer-science", + "topic_page_url": "/science/computer-science", + "path": "/science/computer-science/", + "extended_slug": "science/computer-science" + }, + "accounting-and-financial-stateme": { + "slug": "accounting-and-financial-stateme", + "hide": false, + "description": "", + "title": "Accounting and financial statements", + "kind": "Topic", + "id": "accounting-and-financial-stateme", + "topic_page_url": "/science/core-finance/accounting-and-financial-stateme", + "path": "/science/core-finance/accounting-and-financial-stateme/", + "extended_slug": "science/core-finance/accounting-and-financial-stateme" + }, + "exact-equations": { + "slug": "exact-equations", + "hide": false, + "description": "A very special class of often non-linear differential equations. If you know a bit about partial derivatives, this tutorial will help you know how to 'exactly' solve these!", + "title": "Exact equations and integrating factors", + "kind": "Topic", + "id": "exact-equations", + "topic_page_url": "/math/differential-equations/first-order-differential-equations/exact-equations", + "path": "/math/differential-equations/first-order-differential-equations/exact-equations/", + "extended_slug": "math/differential-equations/first-order-differential-equations/exact-equations" + }, + "macroecon-deflation-tutorial": { + "slug": "macroecon-deflation-tutorial", + "hide": false, + "description": "Prices don't always go up. Sometimes they go down (we call this deflation). This tutorial explains how this happens.", + "title": "Deflation", + "kind": "Topic", + "id": "macroecon-deflation-tutorial", + "topic_page_url": "/science/macroeconomics/inflation-topic/macroecon-deflation-tutorial", + "path": "/science/macroeconomics/inflation-topic/macroecon-deflation-tutorial/", + "extended_slug": "science/macroeconomics/inflation-topic/macroecon-deflation-tutorial" + }, + "calculus": { + "slug": "calculus", + "hide": false, + "description": "Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)", + "title": "Calculus", + "kind": "Topic", + "id": "calculus", + "topic_page_url": "/math/calculus", + "path": "/math/calculus/", + "extended_slug": "math/calculus" + }, + "decimal_to_fraction": { + "slug": "decimal_to_fraction", + "hide": false, + "description": "Both fractions and decimals are desperate to capture that little part of our heart that desires to express non-whole numbers. But must we commit? Can't we have business in the front and party in the back (younger people should luck up the word \"mullet\" to see a hair-style worth considering for your next trip to the barber)? Can't it look like a pump, but feel like a sneaker? Well, if 18-wheelers can turn into self-righteous robots, then why can't decimals and fractions turn into each other?", + "title": "Converting between fractions and decimals", + "kind": "Topic", + "id": "decimal_to_fraction", + "topic_page_url": "/math/arithmetic/decimals/decimal_to_fraction", + "path": "/math/arithmetic/decimals/decimal_to_fraction/", + "extended_slug": "math/arithmetic/decimals/decimal_to_fraction" + }, + "interest-rate-swaps-tut": { + "slug": "interest-rate-swaps-tut", + "hide": false, + "description": "", + "title": "Interest rate swaps", + "kind": "Topic", + "id": "interest-rate-swaps-tut", + "topic_page_url": "/finance-economics/core-finance/derivative-securities/interest-rate-swaps-tut", + "path": "/science/core-finance/derivative-securities/interest-rate-swaps-tut/", + "extended_slug": "finance-economics/core-finance/derivative-securities/interest-rate-swaps-tut" + }, + "line_equation": { + "slug": "line_equation", + "hide": false, + "description": "You know a bit about slope and intercepts, but want to know more about all the ways you can represent the equation of a line including slope-intercept form, point-slope form, and standard form.\n\nThis tutorial will satisfy that curiosity!", + "title": "Equation of a line", + "kind": "Topic", + "id": "line_equation", + "topic_page_url": "/math/trigonometry/graphs/line_equation", + "path": "/math/trigonometry/graphs/line_equation/", + "extended_slug": "math/trigonometry/graphs/line_equation" + }, + "super-yoga": { + "slug": "super-yoga", + "hide": false, + "description": "This tutorial is a survey of the major themes in basic algebra in five videos! From basic equations to graphing to systems, it has it all. Great for someone looking for a gentle, but broad understanding of the use of algebra. Also great for anyone unsure of which gym plan they should pick!", + "title": "Super Yoga plans", + "kind": "Topic", + "id": "super-yoga", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/super-yoga", + "path": "/math/algebra/solving-linear-equations-and-inequalities/super-yoga/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/super-yoga" + }, + "graphing_quadratics": { + "slug": "graphing_quadratics", + "hide": false, + "description": "Tired of lines? Not sure if a parabola is a disease of the gut or a new mode of transportation? Ever wondered what would happen to the graph of a function if you stuck an x\u00b2 someplace? Well, look no further.\n\nIn this tutorial, we will study the graphs of quadratic functions (parabolas), including their foci and whatever the plural of directrix is.", + "title": "Graphing quadratics", + "kind": "Topic", + "id": "graphing_quadratics", + "topic_page_url": "/math/algebra/quadratics/graphing_quadratics", + "path": "/math/algebra/quadratics/graphing_quadratics/", + "extended_slug": "math/algebra/quadratics/graphing_quadratics" + }, + "complex_analysis": { + "slug": "complex_analysis", + "hide": false, + "description": "You know what imaginary and complex numbers are, but want to start digging a bit deeper. In this tutorial, we will explore different ways of representing a complex number and finding its roots.", + "title": "Intro to complex analysis", + "kind": "Topic", + "id": "complex_analysis", + "topic_page_url": "/math/trigonometry/imaginary_complex_precalc/complex_analysis", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_analysis/", + "extended_slug": "math/trigonometry/imaginary_complex_precalc/complex_analysis" + }, + "investment-consumption": { + "slug": "investment-consumption", + "hide": false, + "description": "When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy). When you do invest, how do you compare risk to return? Can capital include human abilities?\n\nThis tutorial hodge-podge covers it all.", + "title": "Investment and consumption", + "kind": "Topic", + "id": "investment-consumption", + "topic_page_url": "/science/core-finance/housing/investment-consumption", + "path": "/science/core-finance/housing/investment-consumption/", + "extended_slug": "science/core-finance/housing/investment-consumption" + }, + "solving-systems-addition-elimination": { + "slug": "solving-systems-addition-elimination", + "hide": false, + "description": "You can solve a system of equations with either substitution or elimination. This tutorial focuses with a ton of examples on elimination. It is covered in other tutorials, but we give you far more examples here. You'll learn best if you pause the videos and try to do the problem before Sal does.", + "title": "Solving systems with elimination (addition-elimination)", + "kind": "Topic", + "id": "solving-systems-addition-elimination", + "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination", + "path": "/math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination/", + "extended_slug": "math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination" + }, + "is-lm-model-tutorial": { + "slug": "is-lm-model-tutorial", + "hide": false, + "description": "In this tutorial, we begin thinking about the impact of real interest rates on planned investment and output. We then use this to help us plot the IS curve. We then think about how, assuming a fixed money supply, as there is more economic activity, people are willing to pay more for money (helps us plot the LM curve). Finally, we use the IS-LM model to think about how fiscal policy can impact both GDP and real interest rates.\n\nYou should watch the Keynesian Cross tutorial before this one.", + "title": "IS-LM Model", + "kind": "Topic", + "id": "is-lm-model-tutorial", + "topic_page_url": "/science/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial", + "path": "/science/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/", + "extended_slug": "science/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial" + }, + "fast-systems-of-equations": { + "slug": "fast-systems-of-equations", + "hide": false, + "description": "Have no time for trolls, kings and parrots and just want to get to the essence of system. This might be a good tutorial for you. As you can see, this stuff is so important that we're covering it in several tutorials!", + "title": "Super fast systems of equations", + "kind": "Topic", + "id": "fast-systems-of-equations", + "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations", + "path": "/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations/", + "extended_slug": "math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations" + }, + "economic-profit-tutorial": { + "slug": "economic-profit-tutorial", + "hide": false, + "description": "Economic profit and accounting profit are two different things (the difference being that economic profit takes into account opportunity cost). Confused? This tutorial lays it all out with the example of a restaurant.", + "title": "Economic profit and opportunity cost", + "kind": "Topic", + "id": "economic-profit-tutorial", + "topic_page_url": "/science/microeconomics/firm-economic-profit/economic-profit-tutorial", + "path": "/science/microeconomics/firm-economic-profit/economic-profit-tutorial/", + "extended_slug": "science/microeconomics/firm-economic-profit/economic-profit-tutorial" + }, + "absolute-value": { + "slug": "absolute-value", + "hide": false, + "description": "Extending our understanding of numbers below 0. Thinking about \"absolute\" distance from 0.", + "title": "Negative numbers and absolute value", + "kind": "Topic", + "id": "absolute-value", + "topic_page_url": "/math/arithmetic/absolute-value", + "path": "/math/arithmetic/absolute-value/", + "extended_slug": "math/arithmetic/absolute-value" + }, + "arterial-stiffness": { + "slug": "arterial-stiffness", + "hide": false, + "description": "Find out why having \"stiff arteries\" can increase blood pressure and cause uneven blood flow. It all comes back to the idea of \"total energy\"!", + "title": "Arterial Stiffness", + "kind": "Topic", + "id": "arterial-stiffness", + "topic_page_url": "/science/healthcare-and-medicine/arterial-stiffness", + "path": "/science/healthcare-and-medicine/arterial-stiffness/", + "extended_slug": "science/healthcare-and-medicine/arterial-stiffness" + }, + "MPC-tutorial": { + "slug": "MPC-tutorial", + "hide": false, + "description": "If you earn a $1, you might spend some fraction of it. This can then be income for someone else. This can keep going. \n\nIn this tutorial, we'll explore how the incremental spend per incremental earnings (marginal propensity to consume) and the multiplier effect based on it can drive economic activity.", + "title": "Marginal propensity to consume (MPC)", + "kind": "Topic", + "id": "MPC-tutorial", + "topic_page_url": "/science/macroeconomics/income-and-expenditure-topic/MPC-tutorial", + "path": "/science/macroeconomics/income-and-expenditure-topic/MPC-tutorial/", + "extended_slug": "science/macroeconomics/income-and-expenditure-topic/MPC-tutorial" + }, + "naming-preparation-alkynes": { + "slug": "naming-preparation-alkynes", + "hide": false, + "description": "In this tutorial, Jay covers the nomenclature and preparation of alkynes, the acidity of terminal alkynes, and the alkylation of alkynes.", + "title": "Naming and preparing alkynes", + "kind": "Topic", + "id": "naming-preparation-alkynes", + "topic_page_url": "/science/organic-chemistry/alkenes-alkynes/naming-preparation-alkynes", + "path": "/science/organic-chemistry/alkenes-alkynes/naming-preparation-alkynes/", + "extended_slug": "science/organic-chemistry/alkenes-alkynes/naming-preparation-alkynes" + }, + "radical_equations": { + "slug": "radical_equations", + "hide": false, + "description": "You're enjoying algebra and equations, but you miss radicals. Wouldn't it be unbelievably awesome if you could solve equations with radicals in them. Well, your dreams can come true.\n\nIn this tutorial, we work through a bunch of examples to help you understand how to solve radical equations. As always, pause the videos and try to solve the example before Sal does.", + "title": "Radical equations", + "kind": "Topic", + "id": "radical_equations", + "topic_page_url": "/math/algebra/exponent-equations/radical_equations", + "path": "/math/algebra/exponent-equations/radical_equations/", + "extended_slug": "math/algebra/exponent-equations/radical_equations" + }, + "log_functions": { + "slug": "log_functions", + "hide": false, + "description": "This tutorial shows you what a logarithmic function is. It will then go on to show the many times in nature and science that these type of functions are useful to describe what is happening.", + "title": "Logarithmic functions", + "kind": "Topic", + "id": "log_functions", + "topic_page_url": "/math/trigonometry/exponential_and_logarithmic_func/log_functions", + "path": "/math/trigonometry/exponential_and_logarithmic_func/log_functions/", + "extended_slug": "math/trigonometry/exponential_and_logarithmic_func/log_functions" + }, + "macroeconomics": { + "slug": "macroeconomics", + "hide": false, + "description": "Topics covered in a traditional college level introductory macroeconomics course", + "title": "Macroeconomics", + "kind": "Topic", + "id": "macroeconomics", + "topic_page_url": "/science/macroeconomics", + "path": "/science/macroeconomics/", + "extended_slug": "science/macroeconomics" + }, + "fluids": { + "slug": "fluids", + "hide": false, + "description": "", + "title": "Fluids", + "kind": "Topic", + "id": "fluids", + "topic_page_url": "/science/physics/fluids", + "path": "/science/physics/fluids/", + "extended_slug": "science/physics/fluids" + }, + "random-variables-topic": { + "slug": "random-variables-topic", + "hide": false, + "description": "Random variables. Expected value. Probability distributions (both discrete and continuous). Binomial distribution. Poisson processes.", + "title": "Random variables and probability distributions", + "kind": "Topic", + "id": "random-variables-topic", + "topic_page_url": "/math/probability/random-variables-topic", + "path": "/math/probability/random-variables-topic/", + "extended_slug": "math/probability/random-variables-topic" + }, + "big-bang-expansion-topic": { + "slug": "big-bang-expansion-topic", + "hide": false, + "description": "What does it mean for the universe to expand? Was the \"big bang\" an explosion of some sort or a rapid expansion of space-time (it was the latter)? If the universe was/is expanding, what is \"outside\" it? How do we know how far/old things are?\n\nThis tutorial addresses some of the oldest questions known to man.", + "title": "Big bang and expansion of the universe", + "kind": "Topic", + "id": "big-bang-expansion-topic", + "topic_page_url": "/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/", + "extended_slug": "science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic" + }, + "probability_combinatorics": { + "slug": "probability_combinatorics", + "hide": false, + "description": "This tutorial will apply the permutation and combination tools you learned in the last tutorial to problems of probability. You'll finally learn that there may be better \"investments\" than poring all your money into the Powerball Lottery.", + "title": "Probability using combinatorics", + "kind": "Topic", + "id": "probability_combinatorics", + "topic_page_url": "/math/probability/probability-and-combinatorics-topic/probability_combinatorics", + "path": "/math/probability/probability-and-combinatorics-topic/probability_combinatorics/", + "extended_slug": "math/probability/probability-and-combinatorics-topic/probability_combinatorics" + }, + "gen-chem-review": { + "slug": "gen-chem-review", + "hide": false, + "description": "A review of hybrid orbitals, electronegativity, polarity, acid/base, and oxidation/reduction", + "title": "General chemistry review", + "kind": "Topic", + "id": "gen-chem-review", + "topic_page_url": "/science/organic-chemistry/gen-chem-review", + "path": "/science/organic-chemistry/gen-chem-review/", + "extended_slug": "science/organic-chemistry/gen-chem-review" + }, + "multiplying_polynomials": { + "slug": "multiplying_polynomials", + "hide": false, + "description": "No algebraic arsenal is complete without the ability to multiply expressions. In this tutorial, we'll review some basic exponent properties and the distributive property when multiplying single terms. We'll then see that multiplying anything fancier (binomials, polynomials, etc.) is just an extension of the distributive property that you first learned in elementary school. We do cover the FOIL method as well because some schools teach this, but we think it is lame and not real learning. The distributive property is FAR more powerful and general.", + "title": "Multiplying monomials, binomials and polynomials in general", + "kind": "Topic", + "id": "multiplying_polynomials", + "topic_page_url": "/math/algebra/polynomials/multiplying_polynomials", + "path": "/math/algebra/polynomials/multiplying_polynomials/", + "extended_slug": "math/algebra/polynomials/multiplying_polynomials" + }, + "graphing_solutions2": { + "slug": "graphing_solutions2", + "hide": false, + "description": "In this tutorial, we'll work through examples that show how a line can be viewed as all of coordinates whose x and y values satisfy a linear equation. Likewise, a linear equation can be viewed as describing a relationship between the x and y values on a line.", + "title": "Graphing solutions to equations", + "kind": "Topic", + "id": "graphing_solutions2", + "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/graphing_solutions2", + "path": "/math/algebra/linear-equations-and-inequalitie/graphing_solutions2/", + "extended_slug": "math/algebra/linear-equations-and-inequalitie/graphing_solutions2" + }, + "complex-roots-characteristic-equation": { + "slug": "complex-roots-characteristic-equation", + "hide": false, + "description": "Thinking about what happens when you have complex or repeated roots for your characteristic equation.", + "title": "Complex and repeated roots of characteristic equation", + "kind": "Topic", + "id": "complex-roots-characteristic-equation", + "topic_page_url": "/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation", + "path": "/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/", + "extended_slug": "math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation" + }, + "stellar-life-death-tutorial": { + "slug": "stellar-life-death-tutorial", + "hide": false, + "description": "Stars begin when material drifting in space condenses due to gravity to be dense enough for fusion to occur. Depending on the volume and make-up of this material, the star could then develop into very different things--from supernovae, to neutron stars, to black holes. \n\nThis tutorial explores the life of stars and will have you appreciating the grand weirdness of our reality.", + "title": "Life and death of stars", + "kind": "Topic", + "id": "stellar-life-death-tutorial", + "topic_page_url": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial", + "path": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/", + "extended_slug": "science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial" + }, + "cosmology-and-astronomy": { + "slug": "cosmology-and-astronomy", + "hide": false, + "description": "Videos attempting to grasp a little bit about our Universe (many of the topics associated with \"Big History\")", + "title": "Cosmology and Astronomy", + "kind": "Topic", + "id": "cosmology-and-astronomy", + "topic_page_url": "/science/cosmology-and-astronomy", + "path": "/science/cosmology-and-astronomy/", + "extended_slug": "science/cosmology-and-astronomy" + }, + "ellipses-precalc": { + "slug": "ellipses-precalc", + "hide": false, + "description": "What would you call a circle that isn't a circle? One that is is is taller or fatter rather than being perfectly round? An ellipse. (All circles are special cases of ellipses.)\n\nIn this tutorial we go deep into the equations and graphs of ellipses.", + "title": "Ellipses", + "kind": "Topic", + "id": "ellipses-precalc", + "topic_page_url": "/math/trigonometry/conics_precalc/ellipses-precalc", + "path": "/math/trigonometry/conics_precalc/ellipses-precalc/", + "extended_slug": "math/trigonometry/conics_precalc/ellipses-precalc" + }, + "harmonic-motion": { + "slug": "harmonic-motion", + "hide": false, + "description": "Every watch a slinky gyrate back and forth. This is harmonic motion (a special class of oscillatory motion). In this tutorial we'll see how we can model and deal with this type of phenomena.", + "title": "Harmonic motion", + "kind": "Topic", + "id": "harmonic-motion", + "topic_page_url": "/science/physics/oscillatory-motion/harmonic-motion", + "path": "/science/physics/oscillatory-motion/harmonic-motion/", + "extended_slug": "science/physics/oscillatory-motion/harmonic-motion" + }, + "exponents-radicals": { + "slug": "exponents-radicals", + "hide": false, + "description": "Understanding and solving exponents without algebra.", + "title": "Exponents, radicals, and scientific notation", + "kind": "Topic", + "id": "exponents-radicals", + "topic_page_url": "/math/arithmetic/exponents-radicals", + "path": "/math/arithmetic/exponents-radicals/", + "extended_slug": "math/arithmetic/exponents-radicals" + }, + "evolution-and-natural-selection": { + "slug": "evolution-and-natural-selection", + "hide": false, + "description": "", + "title": "Evolution and natural selection", + "kind": "Topic", + "id": "evolution-and-natural-selection", + "topic_page_url": "/science/biology/evolution-and-natural-selection", + "path": "/science/biology/evolution-and-natural-selection/", + "extended_slug": "science/biology/evolution-and-natural-selection" + }, + "gmat": { + "slug": "gmat", + "hide": false, + "description": "Sal works through problems in the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005). You should take the practice tests on your own, grade them and then use these videos to understand the problems you didn't get or to review. Have fun!", + "title": "GMAT", + "kind": "Topic", + "id": "gmat", + "topic_page_url": "/test-prep/gmat", + "path": "/test-prep/gmat/", + "extended_slug": "test-prep/gmat" + }, + "alcohols-ethers-epoxides-sulfides": { + "slug": "alcohols-ethers-epoxides-sulfides", + "hide": false, + "description": "alcohols, ethers, epoxides, thiols, sulfides", + "title": "Alcohols, ethers, epoxides, sulfides", + "kind": "Topic", + "id": "alcohols-ethers-epoxides-sulfides", + "topic_page_url": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/", + "extended_slug": "science/organic-chemistry/alcohols-ethers-epoxides-sulfides" + }, + "pressure-volume-loops": { + "slug": "pressure-volume-loops", + "hide": false, + "description": "Watch as the pressure and amount of blood inside the left ventricle go up and down within fractions of a second!", + "title": "Pressure Volume Loops", + "kind": "Topic", + "id": "pressure-volume-loops", + "topic_page_url": "/science/healthcare-and-medicine/pressure-volume-loops", + "path": "/science/healthcare-and-medicine/pressure-volume-loops/", + "extended_slug": "science/healthcare-and-medicine/pressure-volume-loops" + }, + "production-possibilities": { + "slug": "production-possibilities", + "hide": false, + "description": "This tutorial goes back to the basics. You are a hunter-gatherer with only so much time to hunt or gather. How do you allocate your time and energy to maximize you happiness? This is what we try to understand through our study of the production possibilities frontier and opportunity cost.", + "title": "Production possibilities frontier", + "kind": "Topic", + "id": "production-possibilities", + "topic_page_url": "/science/microeconomics/choices-opp-cost-tutorial/production-possibilities", + "path": "/science/microeconomics/choices-opp-cost-tutorial/production-possibilities/", + "extended_slug": "science/microeconomics/choices-opp-cost-tutorial/production-possibilities" + }, + "volume_tutorial": { + "slug": "volume_tutorial", + "hide": false, + "description": "Tired of perimeter and area and now want to measure 3-D space-take-upness. Well you've found the right tutorial. Enjoy!", + "title": "Volume and surface area", + "kind": "Topic", + "id": "volume_tutorial", + "topic_page_url": "/math/geometry/basic-geometry/volume_tutorial", + "path": "/math/geometry/basic-geometry/volume_tutorial/", + "extended_slug": "math/geometry/basic-geometry/volume_tutorial" + }, + "trig_graphs_tutorial": { + "slug": "trig_graphs_tutorial", + "hide": false, + "description": "The unit circle definition allows us to define sine and cosine over all real numbers. Doesn't that make you curious what the graphs might look like? Well this tutorial will scratch that itch (and maybe a few others). Have fun.", + "title": "Graphs of trig functions", + "kind": "Topic", + "id": "trig_graphs_tutorial", + "topic_page_url": "/math/trigonometry/basic-trigonometry/trig_graphs_tutorial", + "path": "/math/trigonometry/basic-trigonometry/trig_graphs_tutorial/", + "extended_slug": "math/trigonometry/basic-trigonometry/trig_graphs_tutorial" + }, + "old-stats-videos": { + "slug": "old-stats-videos", + "hide": false, + "description": "This tutorial covers central tendency and dispersion. It is redundant with the other tutorials on this topic, but it has the benefit of messy handwriting and a cheap microphone. This is Sal circa 2007 so take it all with a grain of salt (or just skip it altogether).", + "title": "Sal's old statistics videos", + "kind": "Topic", + "id": "old-stats-videos", + "topic_page_url": "/math/probability/descriptive-statistics/old-stats-videos", + "path": "/math/probability/descriptive-statistics/old-stats-videos/", + "extended_slug": "math/probability/descriptive-statistics/old-stats-videos" + }, + "dependent_probability": { + "slug": "dependent_probability", + "hide": false, + "description": "What's the probability of picking two \"e\" from the bag in scrabble (assuming that I don't replace the tiles). Well, the probability of picking an 'e' on your second try depends on what happened in the first (if you picked an 'e' the first time around, then there is one less 'e' in the bag). This is just one of many, many type of scenarios involving dependent probability.", + "title": "Dependent probability", + "kind": "Topic", + "id": "dependent_probability", + "topic_page_url": "/math/probability/independent-dependent-probability/dependent_probability", + "path": "/math/probability/independent-dependent-probability/dependent_probability/", + "extended_slug": "math/probability/independent-dependent-probability/dependent_probability" + }, + "inflation-scenarios-tutorial": { + "slug": "inflation-scenarios-tutorial", + "hide": false, + "description": "You know about inflation, but now want to look at how thing might play out in different scenarios. This tutorial focuses on when inflation is \"acceptable\" and when it isn't (and the causes and repercussions).", + "title": "Inflation scenarios", + "kind": "Topic", + "id": "inflation-scenarios-tutorial", + "topic_page_url": "/science/core-finance/inflation-tutorial/inflation-scenarios-tutorial", + "path": "/science/core-finance/inflation-tutorial/inflation-scenarios-tutorial/", + "extended_slug": "science/core-finance/inflation-tutorial/inflation-scenarios-tutorial" + }, + "null_column_space": { + "slug": "null_column_space", + "hide": false, + "description": "We will define matrix-vector multiplication and think about the set of vectors that satisfy Ax=0 for a given matrix A (this is the null space of A). We then proceed to think about the linear combinations of the columns of a matrix (column space). Both of these ideas help us think the possible solutions to the Matrix-vector equation Ax=b.", + "title": "Null space and column space", + "kind": "Topic", + "id": "null_column_space", + "topic_page_url": "/math/linear-algebra/vectors_and_spaces/null_column_space", + "path": "/math/linear-algebra/vectors_and_spaces/null_column_space/", + "extended_slug": "math/linear-algebra/vectors_and_spaces/null_column_space" + }, + "quadratic_odds_ends": { + "slug": "quadratic_odds_ends", + "hide": false, + "description": "This tutorial has a bunch of extra, but random, videos on quadratics. A completely optional tutorial that you may or may not want to look at. If you do, watch it last. There are some Sal oldies here and some random examples.", + "title": "Quadratic odds and ends", + "kind": "Topic", + "id": "quadratic_odds_ends", + "topic_page_url": "/math/algebra/quadratics/quadratic_odds_ends", + "path": "/math/algebra/quadratics/quadratic_odds_ends/", + "extended_slug": "math/algebra/quadratics/quadratic_odds_ends" + }, + "triangle_inequality_theorem": { + "slug": "triangle_inequality_theorem", + "hide": false, + "description": "The triangle inequality theorem is, on some level, kind of simple. But, as you'll see as you go into high level mathematics, it is often used in fancy proofs.\n\nThis tutorial introduces you to what it is and gives you some practice understanding the constraints on the dimensions of a triangle.", + "title": "Triangle inequality theorem", + "kind": "Topic", + "id": "triangle_inequality_theorem", + "topic_page_url": "/math/geometry/basic-geometry/triangle_inequality_theorem", + "path": "/math/geometry/basic-geometry/triangle_inequality_theorem/", + "extended_slug": "math/geometry/basic-geometry/triangle_inequality_theorem" + }, + "monopolistic-competition-oligop": { + "slug": "monopolistic-competition-oligop", + "hide": false, + "description": "Most markets sit somewhere in-between perfect competition and monopolies. This tutorial explores some of those scenarios--from monopolistic competition to oligopolies and duopolies.", + "title": "Between perfect competition and monopoly", + "kind": "Topic", + "id": "monopolistic-competition-oligop", + "topic_page_url": "/science/microeconomics/perfect-competition-topic/monopolistic-competition-oligop", + "path": "/science/microeconomics/perfect-competition-topic/monopolistic-competition-oligop/", + "extended_slug": "science/microeconomics/perfect-competition-topic/monopolistic-competition-oligop" + }, + "percent_word_probs": { + "slug": "percent_word_probs", + "hide": false, + "description": "Whether you're calculating a tip at your favorite restaurant or figuring out how many decades you'll be paying your student debt because of the interest, percents will show up again and again and again in your life. This tutorial will expose you to some of these problems before they show up in your actual life so you can handle them with ease (kind of like a vaccine for the brain). Enjoy.", + "title": "Percent word problems", + "kind": "Topic", + "id": "percent_word_probs", + "topic_page_url": "/math/arithmetic/decimals/percent_word_probs", + "path": "/math/arithmetic/decimals/percent_word_probs/", + "extended_slug": "math/arithmetic/decimals/percent_word_probs" + }, + "number_sets": { + "slug": "number_sets", + "hide": false, + "description": "The world of numbers can be split up into multiple \"sets\", many of which overlap with each other (integers, rational numbers, irrational numbers, etc.). This tutorial works through examples that expose you to the terminology of the various sets and how you can differentiate them.", + "title": "Number sets", + "kind": "Topic", + "id": "number_sets", + "topic_page_url": "/math/arithmetic/fractions/number_sets", + "path": "/math/arithmetic/fractions/number_sets/", + "extended_slug": "math/arithmetic/fractions/number_sets" + }, + "interest-price-of-money-tutorial": { + "slug": "interest-price-of-money-tutorial", + "hide": false, + "description": "", + "title": "Interest as the price of money", + "kind": "Topic", + "id": "interest-price-of-money-tutorial", + "topic_page_url": "/science/macroeconomics/monetary-system-topic/interest-price-of-money-tutorial", + "path": "/science/macroeconomics/monetary-system-topic/interest-price-of-money-tutorial/", + "extended_slug": "science/macroeconomics/monetary-system-topic/interest-price-of-money-tutorial" + }, + "normal-contact-force": { + "slug": "normal-contact-force", + "hide": false, + "description": "A dog is balancing on one arm on my head. Is my head applying a force to the dog's hand? If it weren't, wouldn't there be nothing to offset the pull of gravity causing the acrobatic dog to fall? What would we call this force? Can we have a general term from the component of a contact force that acts perpendicular to the plane of contact? These are absolutely normal questions to ask.", + "title": "Normal force and contact force", + "kind": "Topic", + "id": "normal-contact-force", + "topic_page_url": "/science/physics/forces-newtons-laws/normal-contact-force", + "path": "/science/physics/forces-newtons-laws/normal-contact-force/", + "extended_slug": "science/physics/forces-newtons-laws/normal-contact-force" + }, + "heart-disease-and-stroke": { + "slug": "heart-disease-and-stroke", + "hide": false, + "description": "Find out what can cause a heart disease and stroke, and how the two are related!", + "title": "Heart Disease and Stroke", + "kind": "Topic", + "id": "heart-disease-and-stroke", + "topic_page_url": "/science/healthcare-and-medicine/heart-disease-and-stroke", + "path": "/science/healthcare-and-medicine/heart-disease-and-stroke/", + "extended_slug": "science/healthcare-and-medicine/heart-disease-and-stroke" + }, + "alkenes-alkynes": { + "slug": "alkenes-alkynes", + "hide": false, + "description": "naming alkenes and alkynes, reactions of alkenes and alkynes, synthesis", + "title": "Alkenes and alkynes", + "kind": "Topic", + "id": "alkenes-alkynes", + "topic_page_url": "/science/organic-chemistry/alkenes-alkynes", + "path": "/science/organic-chemistry/alkenes-alkynes/", + "extended_slug": "science/organic-chemistry/alkenes-alkynes" + }, + "cont-comp-int-and-e": { + "slug": "cont-comp-int-and-e", + "hide": false, + "description": "This is an older tutorial (notice the low-res, bad handwriting) about one of the coolest numbers in reality and how it falls out of our innate desire to compound interest continuously.", + "title": "Continuous compound interest and e", + "kind": "Topic", + "id": "cont-comp-int-and-e", + "topic_page_url": "/science/core-finance/interest-tutorial/cont-comp-int-and-e", + "path": "/science/core-finance/interest-tutorial/cont-comp-int-and-e/", + "extended_slug": "science/core-finance/interest-tutorial/cont-comp-int-and-e" + }, + "vectors_and_spaces": { + "slug": "vectors_and_spaces", + "hide": false, + "description": "Let's get our feet (and probably the rest of our body) wet in thinking in terms of vectors and spaces.", + "title": "Vectors and spaces", + "kind": "Topic", + "id": "vectors_and_spaces", + "topic_page_url": "/math/linear-algebra/vectors_and_spaces", + "path": "/math/linear-algebra/vectors_and_spaces/", + "extended_slug": "math/linear-algebra/vectors_and_spaces" + }, + "more-trig-examples": { + "slug": "more-trig-examples", + "hide": false, + "description": "This tutorial is a catch-all for a bunch of things that we haven't been able (for lack of time or ability) to categorize into other tutorials :(", + "title": "More trig examples", + "kind": "Topic", + "id": "more-trig-examples", + "topic_page_url": "/math/trigonometry/less-basic-trigonometry/more-trig-examples", + "path": "/math/trigonometry/less-basic-trigonometry/more-trig-examples/", + "extended_slug": "math/trigonometry/less-basic-trigonometry/more-trig-examples" + }, + "heredity-and-genetics": { + "slug": "heredity-and-genetics", + "hide": false, + "description": "", + "title": "Heredity and genetics", + "kind": "Topic", + "id": "heredity-and-genetics", + "topic_page_url": "/science/biology/heredity-and-genetics", + "path": "/science/biology/heredity-and-genetics/", + "extended_slug": "science/biology/heredity-and-genetics" + }, + "oxidation-reduction": { + "slug": "oxidation-reduction", + "hide": false, + "description": "", + "title": "Oxidation reduction", + "kind": "Topic", + "id": "oxidation-reduction", + "topic_page_url": "/science/chemistry/oxidation-reduction", + "path": "/science/chemistry/oxidation-reduction/", + "extended_slug": "science/chemistry/oxidation-reduction" + }, + "data-sufficiency": { + "slug": "data-sufficiency", + "hide": false, + "description": "Sal works through the 155 data sufficiency questions in chapter 6 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005)", + "title": "Data Sufficiency", + "kind": "Topic", + "id": "data-sufficiency", + "topic_page_url": "/test-prep/gmat/data-sufficiency", + "path": "/test-prep/gmat/data-sufficiency/", + "extended_slug": "test-prep/gmat/data-sufficiency" + }, + "central_tendency": { + "slug": "central_tendency", + "hide": false, + "description": "This is the foundational tutorial for the rest of statistics. We start thinking about how you can represent a set of numbers with one number that somehow represents the \"center\". We then talk about the differences between populations, samples, parameters and statistics.", + "title": "Measures of central tendency", + "kind": "Topic", + "id": "central_tendency", + "topic_page_url": "/math/probability/descriptive-statistics/central_tendency", + "path": "/math/probability/descriptive-statistics/central_tendency/", + "extended_slug": "math/probability/descriptive-statistics/central_tendency" + }, + "continuous_compounding": { + "slug": "continuous_compounding", + "hide": false, + "description": "This tutorial introduces us to one of the derivations (from finance and continuously compounding interest) of the irrational number 'e' which is roughly 2.71...", + "title": "Continuous compounding and e", + "kind": "Topic", + "id": "continuous_compounding", + "topic_page_url": "/math/trigonometry/exponential_and_logarithmic_func/continuous_compounding", + "path": "/math/trigonometry/exponential_and_logarithmic_func/continuous_compounding/", + "extended_slug": "math/trigonometry/exponential_and_logarithmic_func/continuous_compounding" + }, + "area--perimeter--and-volume": { + "slug": "area--perimeter--and-volume", + "hide": false, + "description": null, + "title": "Area, perimeter, and volume", + "kind": "Topic", + "id": "area--perimeter--and-volume", + "topic_page_url": "/math/geometry/area--perimeter--and-volume/e", + "path": "/math/geometry/area--perimeter--and-volume/", + "extended_slug": "math/geometry/area--perimeter--and-volume" + }, + "two-dimensional-projectile-mot": { + "slug": "two-dimensional-projectile-mot", + "hide": false, + "description": "Let's escape from the binds of one-dimension (where we were forced to launch things straight up) and start launching at angles. With a little bit of trig (might want to review sin and cos) we'll be figuring out just how long and far something can travel.", + "title": "Two-dimensional projectile motion", + "kind": "Topic", + "id": "two-dimensional-projectile-mot", + "topic_page_url": "/science/physics/two-dimensional-motion/two-dimensional-projectile-mot", + "path": "/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/", + "extended_slug": "science/physics/two-dimensional-motion/two-dimensional-projectile-mot" + }, + "isoscleles_equil": { + "slug": "isoscleles_equil", + "hide": false, + "description": "This tutorial uses our understanding of congruence postulates to prove some neat properties of isosceles and equilateral triangles.", + "title": "Congruence and isosceles and equilateral triangles", + "kind": "Topic", + "id": "isoscleles_equil", + "topic_page_url": "/math/geometry/congruent-triangles/isoscleles_equil", + "path": "/math/geometry/congruent-triangles/isoscleles_equil/", + "extended_slug": "math/geometry/congruent-triangles/isoscleles_equil" + }, + "line_integrals": { + "slug": "line_integrals", + "hide": false, + "description": "With traditional integrals, our \"path\" was straight and linear (most of the time, we traversed the x-axis). Now we can explore taking integrals over any line or curve (called line integrals).", + "title": "Line integrals for scalar functions", + "kind": "Topic", + "id": "line_integrals", + "topic_page_url": "/math/calculus/line_integrals_topic/line_integrals", + "path": "/math/calculus/line_integrals_topic/line_integrals/", + "extended_slug": "math/calculus/line_integrals_topic/line_integrals" + }, + "heart-muscle-contraction": { + "slug": "heart-muscle-contraction", + "hide": false, + "description": "Find out more about heart muscles and what happens when they contract.", + "title": "Heart Muscle Contraction", + "kind": "Topic", + "id": "heart-muscle-contraction", + "topic_page_url": "/science/healthcare-and-medicine/heart-muscle-contraction", + "path": "/science/healthcare-and-medicine/heart-muscle-contraction/", + "extended_slug": "science/healthcare-and-medicine/heart-muscle-contraction" + }, + "firm-economic-profit": { + "slug": "firm-economic-profit", + "hide": false, + "description": "Economic profit vs. accounting profit. Average total cost (ATC) and marginal cost (MC). Marginal product of labor (MPL). Price discrimination.", + "title": "Production decisions and economic profit", + "kind": "Topic", + "id": "firm-economic-profit", + "topic_page_url": "/science/microeconomics/firm-economic-profit", + "path": "/science/microeconomics/firm-economic-profit/", + "extended_slug": "science/microeconomics/firm-economic-profit" + }, + "cervical-spine": { + "slug": "cervical-spine", + "hide": false, + "description": "Learn about the cervical (neck) spine through an Xray!", + "title": "Cervical Spine", + "kind": "Topic", + "id": "cervical-spine", + "topic_page_url": "/science/healthcare-and-medicine/cervical-spine", + "path": "/science/healthcare-and-medicine/cervical-spine/", + "extended_slug": "science/healthcare-and-medicine/cervical-spine" + }, + "sn1-sn2-sal": { + "slug": "sn1-sn2-sal", + "hide": false, + "description": "In this tutorial, Sal analyzes the differences between SN1 and SN2 reactions.", + "title": "SN1 vs SN2", + "kind": "Topic", + "id": "sn1-sn2-sal", + "topic_page_url": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal", + "path": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/", + "extended_slug": "science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal" + }, + "divisibility_tests": { + "slug": "divisibility_tests", + "hide": false, + "description": "Whether you are trying to impress your dog's friends (who are obsessed with figuring out number divisibility) or quickly factor a number, it can be very useful to tell whether a number is divisible by another. This tutorial walks through some of the more standard divisibility methods and describes why they work.", + "title": "Divisibility tests", + "kind": "Topic", + "id": "divisibility_tests", + "topic_page_url": "/math/arithmetic/factors-multiples/divisibility_tests", + "path": "/math/arithmetic/factors-multiples/divisibility_tests/", + "extended_slug": "math/arithmetic/factors-multiples/divisibility_tests" + }, + "region_types_3d": { + "slug": "region_types_3d", + "hide": false, + "description": "This tutorial classifies regions in three dimensions. Comes in useful for some types of double integrals and we use these ideas to prove the divergence theorem.", + "title": "Types of regions in three dimensions", + "kind": "Topic", + "id": "region_types_3d", + "topic_page_url": "/math/calculus/divergence_theorem_topic/region_types_3d", + "path": "/math/calculus/divergence_theorem_topic/region_types_3d/", + "extended_slug": "math/calculus/divergence_theorem_topic/region_types_3d" + }, + "company-statements-capital-struc": { + "slug": "company-statements-capital-struc", + "hide": false, + "description": "If you understand what a stock is (also a good idea to look at the topic on accounting and financial statements), then you're ready to dig in a bit on a company's actual financials.\n\nThis tutorial does this to help you understand what the price of a company really is.", + "title": "Understanding company statements and capital structure", + "kind": "Topic", + "id": "company-statements-capital-struc", + "topic_page_url": "/science/core-finance/stock-and-bonds/company-statements-capital-struc", + "path": "/science/core-finance/stock-and-bonds/company-statements-capital-struc/", + "extended_slug": "science/core-finance/stock-and-bonds/company-statements-capital-struc" + }, + "more-analytic-geometry": { + "slug": "more-analytic-geometry", + "hide": false, + "description": "You're familiar with graphing lines, slope and y-intercepts. Now we are going to go further into analytic geometry by thinking about distances between points, midpoints, parallel lines and perpendicular ones. Enjoy!", + "title": "More analytic geometry", + "kind": "Topic", + "id": "more-analytic-geometry", + "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry", + "path": "/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/", + "extended_slug": "math/algebra/linear-equations-and-inequalitie/more-analytic-geometry" + }, + "relationships_functions": { + "slug": "relationships_functions", + "hide": false, + "description": "Relationships can be any association between sets of numbers while functions have only one output for a given input. This tutorial works through a bunch of examples of testing whether something is a valid function. As always, we really encourage you to pause the videos and try the problems before Sal does!", + "title": "Relationships and valid functions", + "kind": "Topic", + "id": "relationships_functions", + "topic_page_url": "/math/algebra/algebra-functions/relationships_functions", + "path": "/math/algebra/algebra-functions/relationships_functions/", + "extended_slug": "math/algebra/algebra-functions/relationships_functions" + }, + "composition_of_transformations": { + "slug": "composition_of_transformations", + "hide": false, + "description": "You probably remember how to multiply matrices from high school, but didn't know why or what it represented. This tutorial will address this. You'll see that multiplying two matrices can be view as the composition of linear transformations.", + "title": "Transformations and matrix multiplication", + "kind": "Topic", + "id": "composition_of_transformations", + "topic_page_url": "/math/linear-algebra/matrix_transformations/composition_of_transformations", + "path": "/math/linear-algebra/matrix_transformations/composition_of_transformations/", + "extended_slug": "math/linear-algebra/matrix_transformations/composition_of_transformations" + }, + "add_sub_word_problems": { + "slug": "add_sub_word_problems", + "hide": false, + "description": "You feel comfortable with adding and subtracting multi-digit numbers. Now you can apply some of your skills to solve problems that arise in the real world (often called \"word problems\").", + "title": "Addition and subtraction word problems", + "kind": "Topic", + "id": "add_sub_word_problems", + "topic_page_url": "/math/arithmetic/addition-subtraction/add_sub_word_problems", + "path": "/math/arithmetic/addition-subtraction/add_sub_word_problems/", + "extended_slug": "math/arithmetic/addition-subtraction/add_sub_word_problems" + }, + "housing": { + "slug": "housing", + "hide": false, + "description": "", + "title": "Housing", + "kind": "Topic", + "id": "housing", + "topic_page_url": "/science/core-finance/housing", + "path": "/science/core-finance/housing/", + "extended_slug": "science/core-finance/housing" + }, + "elasticity-tutorial": { + "slug": "elasticity-tutorial", + "hide": false, + "description": "Price elasticity of demand and supply. How sensitive are things to change in price.", + "title": "Elasticity", + "kind": "Topic", + "id": "elasticity-tutorial", + "topic_page_url": "/science/microeconomics/elasticity-tutorial", + "path": "/science/microeconomics/elasticity-tutorial/", + "extended_slug": "science/microeconomics/elasticity-tutorial" + }, + "basic-equation-practice": { + "slug": "basic-equation-practice", + "hide": false, + "description": "You've been through \"Equation examples for beginners\" and are feeling good. Well, this tutorial continues that journey by addressing equations that are just a bit more fancy. By the end of this tutorial, you really will have some of the core algebraic tools in your toolkit!", + "title": "More fancy equations for beginners", + "kind": "Topic", + "id": "basic-equation-practice", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice", + "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice" + }, + "compound-interest-tutorial": { + "slug": "compound-interest-tutorial", + "hide": false, + "description": "Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing).\n\nThis tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head.", + "title": "Compound interest basics", + "kind": "Topic", + "id": "compound-interest-tutorial", + "topic_page_url": "/science/core-finance/interest-tutorial/compound-interest-tutorial", + "path": "/science/core-finance/interest-tutorial/compound-interest-tutorial/", + "extended_slug": "science/core-finance/interest-tutorial/compound-interest-tutorial" + }, + "surface_integrals": { + "slug": "surface_integrals", + "hide": false, + "description": "Finding line integrals to be a bit boring? Well, this tutorial will add new dimension to your life by explore what surface integrals are and how we can calculate them.", + "title": "Surface integrals", + "kind": "Topic", + "id": "surface_integrals", + "topic_page_url": "/math/calculus/multivariable-calculus/surface_integrals", + "path": "/math/calculus/multivariable-calculus/surface_integrals/", + "extended_slug": "math/calculus/multivariable-calculus/surface_integrals" + }, + "housing-price-conundrum": { + "slug": "housing-price-conundrum", + "hide": false, + "description": "Back before the 2008 credit crisis, Sal was perplexed by why housing prices were going up so fast and theorized that it was a bubble forming (he was right). \n\nThese pre-2008 videos are fun from a historical point-of-view since they were made before all the poo poo hit the fan.", + "title": "Housing price conundrum", + "kind": "Topic", + "id": "housing-price-conundrum", + "topic_page_url": "/science/core-finance/housing/housing-price-conundrum", + "path": "/science/core-finance/housing/housing-price-conundrum/", + "extended_slug": "science/core-finance/housing/housing-price-conundrum" + }, + "money-supply-tutorial": { + "slug": "money-supply-tutorial", + "hide": false, + "description": "This short tutorial explains how we measure how much \"money\" there is out there. As we'll see, this isn't as straightforward as counting dollars in people's pockets, especially because there are multiple type of money.", + "title": "Money supply", + "kind": "Topic", + "id": "money-supply-tutorial", + "topic_page_url": "/science/macroeconomics/monetary-system-topic/money-supply-tutorial", + "path": "/science/macroeconomics/monetary-system-topic/money-supply-tutorial/", + "extended_slug": "science/macroeconomics/monetary-system-topic/money-supply-tutorial" + }, + "stock-and-bonds": { + "slug": "stock-and-bonds", + "hide": false, + "description": "", + "title": "Stocks and bonds", + "kind": "Topic", + "id": "stock-and-bonds", + "topic_page_url": "/science/core-finance/stock-and-bonds", + "path": "/science/core-finance/stock-and-bonds/", + "extended_slug": "science/core-finance/stock-and-bonds" + }, + "naming-alkenes": { + "slug": "naming-alkenes", + "hide": false, + "description": "In this tutorial, Sal names alkenes and discusses the E-Z system.", + "title": "Naming alkenes", + "kind": "Topic", + "id": "naming-alkenes", + "topic_page_url": "/science/organic-chemistry/alkenes-alkynes/naming-alkenes", + "path": "/science/organic-chemistry/alkenes-alkynes/naming-alkenes/", + "extended_slug": "science/organic-chemistry/alkenes-alkynes/naming-alkenes" + }, + "stereochemistry-topic": { + "slug": "stereochemistry-topic", + "hide": false, + "description": "chirality, stereoisomers, assigning absolute configuration using the R,S system, optical activity, diastereomers, meso compounds, fischer projections", + "title": "Stereochemistry", + "kind": "Topic", + "id": "stereochemistry-topic", + "topic_page_url": "/science/organic-chemistry/stereochemistry-topic", + "path": "/science/organic-chemistry/stereochemistry-topic/", + "extended_slug": "science/organic-chemistry/stereochemistry-topic" + }, + "systems-solutions": { + "slug": "systems-solutions", + "hide": false, + "description": "You know how to solve systems of equations (for the most part). This tutorial will take things a bit deeper by exploring cases when you might have no solutions or an infinite number of them.", + "title": "Thinking about solutions to systems", + "kind": "Topic", + "id": "systems-solutions", + "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/systems-solutions", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-solutions/", + "extended_slug": "math/algebra/systems-of-eq-and-ineq/systems-solutions" + }, + "circles-tutorial-precalc": { + "slug": "circles-tutorial-precalc", + "hide": false, + "description": "You've seen circles your entire life. You've even studied them a bit in math class. Now we go further, taking a deep look at the equations of circles.", + "title": "Circles", + "kind": "Topic", + "id": "circles-tutorial-precalc", + "topic_page_url": "/math/trigonometry/conics_precalc/circles-tutorial-precalc", + "path": "/math/trigonometry/conics_precalc/circles-tutorial-precalc/", + "extended_slug": "math/trigonometry/conics_precalc/circles-tutorial-precalc" + }, + "basic_prob_precalc": { + "slug": "basic_prob_precalc", + "hide": false, + "description": "", + "title": "Basic probability", + "kind": "Topic", + "id": "basic_prob_precalc", + "topic_page_url": "/math/trigonometry/prob_comb/basic_prob_precalc", + "path": "/math/trigonometry/prob_comb/basic_prob_precalc/", + "extended_slug": "math/trigonometry/prob_comb/basic_prob_precalc" + }, + "poisson_process": { + "slug": "poisson_process", + "hide": false, + "description": "", + "title": "Poisson process", + "kind": "Topic", + "id": "poisson_process", + "topic_page_url": "/math/probability/random-variables-topic/poisson_process", + "path": "/math/probability/random-variables-topic/poisson_process/", + "extended_slug": "math/probability/random-variables-topic/poisson_process" + }, + "eigen_everything": { + "slug": "eigen_everything", + "hide": false, + "description": "Eigenvectors, eigenvalues, eigenspaces! We will not stop with the \"eigens\"! Seriously though, eigen-everythings have many applications including finding \"good\" bases for a transformation (yes, \"good\" is a technical term in this context).", + "title": "Eigen-everything", + "kind": "Topic", + "id": "eigen_everything", + "topic_page_url": "/math/linear-algebra/alternate_bases/eigen_everything", + "path": "/math/linear-algebra/alternate_bases/eigen_everything/", + "extended_slug": "math/linear-algebra/alternate_bases/eigen_everything" + }, + "blood-pressure-control": { + "slug": "blood-pressure-control", + "hide": false, + "description": "Find out how the body works to maintain a normal blood pressure by sensing when its too high or too low and responding accordingly.", + "title": "Blood Pressure Control", + "kind": "Topic", + "id": "blood-pressure-control", + "topic_page_url": "/science/healthcare-and-medicine/blood-pressure-control", + "path": "/science/healthcare-and-medicine/blood-pressure-control/", + "extended_slug": "science/healthcare-and-medicine/blood-pressure-control" + }, + "radioactive-decay": { + "slug": "radioactive-decay", + "hide": false, + "description": "", + "title": "Radioactive decay", + "kind": "Topic", + "id": "radioactive-decay", + "topic_page_url": "/science/chemistry/radioactive-decay", + "path": "/science/chemistry/radioactive-decay/", + "extended_slug": "science/chemistry/radioactive-decay" + }, + "competition-math": { + "slug": "competition-math", + "hide": false, + "description": "Example problems from random math competitions", + "title": "Competition Math", + "kind": "Topic", + "id": "competition-math", + "topic_page_url": "/test-prep/competition-math", + "path": "/test-prep/competition-math/", + "extended_slug": "test-prep/competition-math" + }, + "amines-topic": { + "slug": "amines-topic", + "hide": false, + "description": "nomenclature and reactions of amines", + "title": "Amines", + "kind": "Topic", + "id": "amines-topic", + "topic_page_url": "/science/organic-chemistry/amines-topic", + "path": "/science/organic-chemistry/amines-topic/", + "extended_slug": "science/organic-chemistry/amines-topic" + }, + "american-civics": { + "slug": "american-civics", + "hide": false, + "description": "Videos about how government works in the United States.", + "title": "American Civics", + "kind": "Topic", + "id": "american-civics", + "topic_page_url": "/humanities/american-civics", + "path": "/humanities/american-civics/", + "extended_slug": "humanities/american-civics" + }, + "systems-through-examples": { + "slug": "systems-through-examples", + "hide": false, + "description": "This tutorial focuses on solving systems graphically. This is covered in several other tutorials, but this one gives you more examples than you can shake a chicken at. Pause the videos and try to do them before Sal does.", + "title": "Solving systems graphically", + "kind": "Topic", + "id": "systems-through-examples", + "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/systems-through-examples", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-through-examples/", + "extended_slug": "math/algebra/systems-of-eq-and-ineq/systems-through-examples" + }, + "system-of-inequalities": { + "slug": "system-of-inequalities", + "hide": false, + "description": "You feel comfortable with systems of equations, but you begin to realize that the world is not always fair. Not everything is equal! In this short tutorial, we will explore systems of inequalities. We'll graph them. We'll think about whether a point satisfies them. We'll even give you as much practice as you need. All for 3 easy installments of... just kidding, it's free (although the knowledge obtained in priceless). A good deal if we say so ourselves!", + "title": "Systems of inequalities", + "kind": "Topic", + "id": "system-of-inequalities", + "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/system-of-inequalities", + "path": "/math/algebra/systems-of-eq-and-ineq/system-of-inequalities/", + "extended_slug": "math/algebra/systems-of-eq-and-ineq/system-of-inequalities" + }, + "art-history-1600-1700-the-baroque": { + "slug": "art-history-1600-1700-the-baroque", + "hide": false, + "description": "", + "title": "1600-1700 The Baroque", + "kind": "Topic", + "id": "art-history-1600-1700-the-baroque", + "topic_page_url": "/humanities/art-history/art-history-1600-1700-the-baroque", + "path": "/humanities/art-history/art-history-1600-1700-the-baroque/", + "extended_slug": "humanities/art-history/art-history-1600-1700-the-baroque" + }, + "conics_from_equations": { + "slug": "conics_from_equations", + "hide": false, + "description": "You're familiar with the graphs and equations of all of the conic sections. Now you want practice identifying them given only their equations. You, my friend, are about to click on exactly the right tutorial.", + "title": "Identifying conics from equations", + "kind": "Topic", + "id": "conics_from_equations", + "topic_page_url": "/math/algebra/conic-sections/conics_from_equations", + "path": "/math/algebra/conic-sections/conics_from_equations/", + "extended_slug": "math/algebra/conic-sections/conics_from_equations" + }, + "sn1-sn2-e1-e2-sal": { + "slug": "sn1-sn2-e1-e2-sal", + "hide": false, + "description": "In this tutorial, Sal compares the differences between E2, E1, SN2, and SN1 reactions.", + "title": "SN1/SN2/E1/E2", + "kind": "Topic", + "id": "sn1-sn2-e1-e2-sal", + "topic_page_url": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-e1-e2-sal", + "path": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-e1-e2-sal/", + "extended_slug": "science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-e1-e2-sal" + }, + "special_right_triangles": { + "slug": "special_right_triangles", + "hide": false, + "description": "We hate to pick favorites, but there really are certain right triangles that are more special than others. In this tutorial, we pick them out, show why they're special, and prove it! These include 30-60-90 and 45-45-90 triangles (the numbers refer to the measure of the angles in the triangle).", + "title": "Special right triangles", + "kind": "Topic", + "id": "special_right_triangles", + "topic_page_url": "/math/geometry/right_triangles_topic/special_right_triangles", + "path": "/math/geometry/right_triangles_topic/special_right_triangles/", + "extended_slug": "math/geometry/right_triangles_topic/special_right_triangles" + }, + "Box-and-whisker plots": { + "slug": "Box-and-whisker plots", + "hide": false, + "description": "Whether you're looking at scientific data or stock price charts, box-and-whisker plots can show up in your life. This tutorial covers what they are, how to read them and how to construct them. We'd consider this tutorial very optional, but it is a good application of dealing with medians and ranges.", + "title": "Box-and-whisker plots", + "kind": "Topic", + "id": "Box-and-whisker plots", + "topic_page_url": "/math/probability/descriptive-statistics/Box-and-whisker plots", + "path": "/math/probability/descriptive-statistics/Box-and-whisker plots/", + "extended_slug": "math/probability/descriptive-statistics/Box-and-whisker plots" + }, + "Bit-zee": { + "slug": "Bit-zee", + "hide": false, + "description": "This project is a low cost robot made from every day items that are taken apart and described in the reverse engineering section", + "title": "Bit-zee Bot", + "kind": "Topic", + "id": "Bit-zee", + "topic_page_url": "/science/projects/Bit-zee", + "path": "/science/projects/Bit-zee/", + "extended_slug": "science/projects/Bit-zee" + }, + "product_rule": { + "slug": "product_rule", + "hide": false, + "description": "You can figure out the derivative of f(x). You're also good for g(x). But what about f(x) times g(x)? This is what the product rule is all about. \n\nThis tutorial is all about the product rule. It also covers the quotient rule (which really is just a special case of the product rule).", + "title": "Product and quotient rules", + "kind": "Topic", + "id": "product_rule", + "topic_page_url": "/math/calculus/differential-calculus/product_rule", + "path": "/math/calculus/differential-calculus/product_rule/", + "extended_slug": "math/calculus/differential-calculus/product_rule" + }, + "life-insurance": { + "slug": "life-insurance", + "hide": false, + "description": "It is a bit of a downer to think about, but we are all going to die. Do we care what happens to our loved ones (if they really are \"loved\" than the answer is obvious). This tutorial walks us through the options to insure our families against losing us. The reason why we stuck it in the \"investment vehicles\" topic is because it can also be an investment that we can use before we die.", + "title": "Life insurance", + "kind": "Topic", + "id": "life-insurance", + "topic_page_url": "/science/core-finance/investment-vehicles-tutorial/life-insurance", + "path": "/science/core-finance/investment-vehicles-tutorial/life-insurance/", + "extended_slug": "science/core-finance/investment-vehicles-tutorial/life-insurance" + }, + "trigonometry": { + "slug": "trigonometry", + "hide": false, + "description": "Videos and exercises on trigonometry. Watch the \"Geometry\" playlist first if you have trouble understanding the topics covered here.", + "title": "Trigonometry and precalculus", + "kind": "Topic", + "id": "trigonometry", + "topic_page_url": "/math/trigonometry", + "path": "/math/trigonometry/", + "extended_slug": "math/trigonometry" + }, + "order-of-operations": { + "slug": "order-of-operations", + "hide": false, + "description": "Putting names to properties of common arithmetic operations", + "title": "Arithmetic properties", + "kind": "Topic", + "id": "order-of-operations", + "topic_page_url": "/math/arithmetic/order-of-operations", + "path": "/math/arithmetic/order-of-operations/", + "extended_slug": "math/arithmetic/order-of-operations" + }, + "art-history-1500-1600-end-of-the-renaissance-and-the-reformation": { + "slug": "art-history-1500-1600-end-of-the-renaissance-and-the-reformation", + "hide": false, + "description": "", + "title": "1500-1600 End of the Renaissance and the Reformation", + "kind": "Topic", + "id": "art-history-1500-1600-end-of-the-renaissance-and-the-reformation", + "topic_page_url": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation", + "path": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/", + "extended_slug": "humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation" + }, + "gravity-newtonian": { + "slug": "gravity-newtonian", + "hide": false, + "description": "Why are you sticking to your chair (ignoring the spilled glue)? Why does the earth orbit the sun (or does it)? How high could I throw my dog on the moon?\n\nGravitation defines our everyday life and the structure of the universe. This tutorial will introduce it to you in the Newtonian sense.", + "title": "Newton's law of gravitation", + "kind": "Topic", + "id": "gravity-newtonian", + "topic_page_url": "/science/physics/newton-gravitation/gravity-newtonian", + "path": "/science/physics/newton-gravitation/gravity-newtonian/", + "extended_slug": "science/physics/newton-gravitation/gravity-newtonian" + }, + "acid-base-review": { + "slug": "acid-base-review", + "hide": false, + "description": "Do you remember the basics of acid/base chemistry? In this tutorial, Jay reminds you of a few definitions, shows you how the stability of the conjugate base affects the acidity of the molecule, and demonstrates the importance of pKa values.", + "title": "Acid/base", + "kind": "Topic", + "id": "acid-base-review", + "topic_page_url": "/science/organic-chemistry/gen-chem-review/acid-base-review", + "path": "/science/organic-chemistry/gen-chem-review/acid-base-review/", + "extended_slug": "science/organic-chemistry/gen-chem-review/acid-base-review" + }, + "newton-gravitation": { + "slug": "newton-gravitation", + "hide": false, + "description": "Classical gravity. How masses attract each other (according to Newton).", + "title": "Gravitation", + "kind": "Topic", + "id": "newton-gravitation", + "topic_page_url": "/science/physics/newton-gravitation", + "path": "/science/physics/newton-gravitation/", + "extended_slug": "science/physics/newton-gravitation" + }, + "squeeze_theorem": { + "slug": "squeeze_theorem", + "hide": false, + "description": "If a function is always smaller than one function and always greater than another (i.e. it is always between them), then if the upper and lower function converge to a limit at a point, then so does the one in between. Not only is this useful for proving certain tricky limits (we use it to prove lim (x \u2192 0) of (sin x)/x, but it is a useful metaphor to use in life (seriously). :)\n\nThis tutorial is useful but optional. It is covered in most calculus courses, but it is not necessary to progress on to the \"Introduction to derivatives\" tutorial.", + "title": "Squeeze theorem", + "kind": "Topic", + "id": "squeeze_theorem", + "topic_page_url": "/math/calculus/limits_topic/squeeze_theorem", + "path": "/math/calculus/limits_topic/squeeze_theorem/", + "extended_slug": "math/calculus/limits_topic/squeeze_theorem" + }, + "basic-trigonometry": { + "slug": "basic-trigonometry", + "hide": false, + "description": "", + "title": "Basic Trigonometry", + "kind": "Topic", + "id": "basic-trigonometry", + "topic_page_url": "/math/trigonometry/basic-trigonometry", + "path": "/math/trigonometry/basic-trigonometry/", + "extended_slug": "math/trigonometry/basic-trigonometry" + }, "exponent-properties-algebra": { "slug": "exponent-properties-algebra", "hide": false, @@ -1793,16 +7711,16 @@ "path": "/math/algebra/exponent-equations/exponent-properties-algebra/", "extended_slug": "math/algebra/exponent-equations/exponent-properties-algebra" }, - "currency": { - "slug": "currency", + "corp-bankruptcy-tutorial": { + "slug": "corp-bankruptcy-tutorial", "hide": false, - "description": "Videos about currency exchange", - "title": "Currency", + "description": "Anybody or anything (you can decide if a corporation is a person) can have trouble paying its debts. This tutorial walks through what happens to a corporation in these circumstances.", + "title": "Corporate bankruptcy", "kind": "Topic", - "id": "currency", - "topic_page_url": "/finance-economics/currency", - "path": "/finance-economics/currency/", - "extended_slug": "finance-economics/currency" + "id": "corp-bankruptcy-tutorial", + "topic_page_url": "/science/core-finance/stock-and-bonds/corp-bankruptcy-tutorial", + "path": "/science/core-finance/stock-and-bonds/corp-bankruptcy-tutorial/", + "extended_slug": "science/core-finance/stock-and-bonds/corp-bankruptcy-tutorial" }, "hypertension": { "slug": "hypertension", @@ -1815,27 +7733,49 @@ "path": "/science/healthcare-and-medicine/hypertension/", "extended_slug": "science/healthcare-and-medicine/hypertension" }, - "exponent-equations": { - "slug": "exponent-equations", + "bank-bailout": { + "slug": "bank-bailout", "hide": false, - "description": "Solving exponential and radical expressions and equations. Using scientific notation and significant figures.", - "title": "Exponent expressions and equations", + "description": "In 2008, the entire financial system was at a potential breaking point because of a popping housing bubble. This tutorial breaks down how the government attempted to address this (historical note: Sal made these videos as the crisis was unfolding).", + "title": "2008 Bank bailout", "kind": "Topic", - "id": "exponent-equations", - "topic_page_url": "/math/algebra/exponent-equations", - "path": "/math/algebra/exponent-equations/", - "extended_slug": "math/algebra/exponent-equations" + "id": "bank-bailout", + "topic_page_url": "/science/core-finance/money-and-banking/bank-bailout", + "path": "/science/core-finance/money-and-banking/bank-bailout/", + "extended_slug": "science/core-finance/money-and-banking/bank-bailout" }, - "conic-sections": { - "slug": "conic-sections", + "naming-aromatic": { + "slug": "naming-aromatic", "hide": false, - "description": "Identifying and graphing circles, ellipses, parabolas, and hyperbolas.", - "title": "Conic sections", + "description": "In this tutorial, Sal introduces aromatic compounds and Huckel's rule. He also shows how to name derivatives of benzene.", + "title": "Aromatic compounds", "kind": "Topic", - "id": "conic-sections", - "topic_page_url": "/math/algebra/conic-sections", - "path": "/math/algebra/conic-sections/", - "extended_slug": "math/algebra/conic-sections" + "id": "naming-aromatic", + "topic_page_url": "/science/organic-chemistry/aromatic-compounds/naming-aromatic", + "path": "/science/organic-chemistry/aromatic-compounds/naming-aromatic/", + "extended_slug": "science/organic-chemistry/aromatic-compounds/naming-aromatic" + }, + "curl": { + "slug": "curl", + "hide": false, + "description": "Curl measures how much a vector field is \"spinning\". A bit of a pain to calculate, but could come in handy when we work with Stokes' and Greens' theorems later on.", + "title": "Curl", + "kind": "Topic", + "id": "curl", + "topic_page_url": "/math/calculus/partial_derivatives_topic/curl", + "path": "/math/calculus/partial_derivatives_topic/curl/", + "extended_slug": "math/calculus/partial_derivatives_topic/curl" + }, + "complex_num_precalc": { + "slug": "complex_num_precalc", + "hide": false, + "description": "Let's start constructing numbers that have both a real and imaginary part. We'll call them complex. We can even plot them on the complex plane and use them to find the roots of ANY quadratic equation. The fun must not stop!", + "title": "Complex numbers", + "kind": "Topic", + "id": "complex_num_precalc", + "topic_page_url": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc/", + "extended_slug": "math/trigonometry/imaginary_complex_precalc/complex_num_precalc" }, "triangles": { "slug": "triangles", @@ -1848,16 +7788,49 @@ "path": "/math/geometry/triangles/", "extended_slug": "math/geometry/triangles" }, - "cellular-respiration": { - "slug": "cellular-respiration", + "logarithms-tutorial": { + "slug": "logarithms-tutorial", + "hide": false, + "description": "Log-a-what? No, this tutorial is about neither chopped wood nor music (actually logarithms do have applications in music), but it is fascinating nonetheless.\n\nYou know how to take an exponent. Now you can think about what exponent you have to raise a number to to get another number. Yes, I agree--unstoppable fun for the whole family. No, seriously, logarithms are used everywhere (including to measure earthquakes and sound).", + "title": "Logarithms", + "kind": "Topic", + "id": "logarithms-tutorial", + "topic_page_url": "/math/algebra/logarithms-tutorial", + "path": "/math/algebra/logarithms-tutorial/", + "extended_slug": "math/algebra/logarithms-tutorial" + }, + "sn1-sn2-tutorial": { + "slug": "sn1-sn2-tutorial", + "hide": false, + "description": "In this tutorial, Jay covers the definitions of nucleophile/electrophile, The Schwartz Rules (may the Schwartz be with you!), and the differences between SN1 and SN2 reactions.", + "title": "SN1 and SN2", + "kind": "Topic", + "id": "sn1-sn2-tutorial", + "topic_page_url": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-tutorial", + "path": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-tutorial/", + "extended_slug": "science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-tutorial" + }, + "pyth_theor": { + "slug": "pyth_theor", + "hide": false, + "description": "Named after the Greek philosopher who lived nearly 2600 years ago, the Pythagorean theorem is as good as math theorems get (Pythagoras also started a religious movement). It's simple. It's beautiful. It's powerful.\n\nIn this tutorial, we will cover what it is and how it can be used. We have another tutorial that gives you as many proofs of it as you might need.\n\nIn thi", + "title": "Pythagorean theorem", + "kind": "Topic", + "id": "pyth_theor", + "topic_page_url": "/math/geometry/right_triangles_topic/pyth_theor", + "path": "/math/geometry/right_triangles_topic/pyth_theor/", + "extended_slug": "math/geometry/right_triangles_topic/pyth_theor" + }, + "humanities": { + "slug": "humanities", "hide": false, "description": "", - "title": "Cellular respiration", + "title": "Humanities", "kind": "Topic", - "id": "cellular-respiration", - "topic_page_url": "/science/biology/cellular-respiration", - "path": "/science/biology/cellular-respiration/", - "extended_slug": "science/biology/cellular-respiration" + "id": "humanities", + "topic_page_url": null, + "path": "/humanities/", + "extended_slug": "humanities" }, "crypt": { "slug": "crypt", @@ -1870,49 +7843,38 @@ "path": "/math/applied-math/crypt/", "extended_slug": "math/applied-math/crypt" }, - "colon-disease": { - "slug": "colon-disease", + "consumer-producer-surplus-tut": { + "slug": "consumer-producer-surplus-tut", "hide": false, - "description": "Get a ring-side seat as a pathologist talks about colon cells under the microscope.", - "title": "Colon Disease", + "description": "Many times, the equilibrium price is lower than the highest price some folks are willing to pay. For all consumers, this is called consumer surplus. Similarly, the price might be higher than the minimum price at which some are willing to produce. For all the producers, this is called producer surplus. This tutorial covers them both with an emphasis on the visual.", + "title": "Consumer and producer surplus", "kind": "Topic", - "id": "colon-disease", - "topic_page_url": "/science/healthcare-and-medicine/colon-disease", - "path": "/science/healthcare-and-medicine/colon-disease/", - "extended_slug": "science/healthcare-and-medicine/colon-disease" + "id": "consumer-producer-surplus-tut", + "topic_page_url": "/science/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut", + "path": "/science/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut/", + "extended_slug": "science/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut" }, - "dc-motors": { - "slug": "dc-motors", - "hide": false, - "description": "In this section we investigate how dc motors work and what is inside of them.", - "title": "DC Motors", - "kind": "Topic", - "id": "dc-motors", - "topic_page_url": "/science/projects/dc-motors", - "path": "/science/projects/dc-motors/", - "extended_slug": "science/projects/dc-motors" - }, - "greek-debt-crisis": { - "slug": "greek-debt-crisis", + "trig_iden_tutorial": { + "slug": "trig_iden_tutorial", "hide": false, - "description": "", - "title": "Greek Debt Crisis", + "description": "If you're starting to sense that there may be more to trig functions than meet the eye, you are sensing right. In this tutorial you'll discover exciting and beautiful and elegant and hilarious relationships between our favorite trig functions (and maybe a few that we don't particularly like).\n\nWarning: Many of these videos are the old, rougher Sal with the cheap equipment!", + "title": "Trigonometric identities", "kind": "Topic", - "id": "greek-debt-crisis", - "topic_page_url": "/finance-economics/greek-debt-crisis", - "path": "/finance-economics/greek-debt-crisis/", - "extended_slug": "finance-economics/greek-debt-crisis" + "id": "trig_iden_tutorial", + "topic_page_url": "/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial", + "path": "/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/", + "extended_slug": "math/trigonometry/less-basic-trigonometry/trig_iden_tutorial" }, - "percents": { - "slug": "percents", + "polynomial_basics": { + "slug": "polynomial_basics", "hide": false, - "description": "Understanding, solving, and converting percents.", - "title": "Percents", + "description": "\"Polynomials\" sound like a fancy word, but you just have to break down the root words. \"Poly\" means \"many\". So we're just talking about \"many nomials\" and everyone knows what a \"nomial\" is. Okay, most of us don't. Well, a polynomials has \"many\" terms. \n\nFrom understanding what a \"term\" is to basic simplification, addition and subtraction of polynomials, this tutorial will get you very familiar with the world of many \"nomials.\" :)", + "title": "Polynomial basics", "kind": "Topic", - "id": "percents", - "topic_page_url": "/math/arithmetic/percents", - "path": "/math/arithmetic/percents/", - "extended_slug": "math/arithmetic/percents" + "id": "polynomial_basics", + "topic_page_url": "/math/algebra/polynomials/polynomial_basics", + "path": "/math/algebra/polynomials/polynomial_basics/", + "extended_slug": "math/algebra/polynomials/polynomial_basics" }, "arithmetic": { "slug": "arithmetic", @@ -1925,82 +7887,104 @@ "path": "/math/arithmetic/", "extended_slug": "math/arithmetic" }, - "circles": { - "slug": "circles", + "heron_formula_tutorial": { + "slug": "heron_formula_tutorial", "hide": false, - "description": null, - "title": "Circles", + "description": "Named after Heron of Alexandria, Heron's formula is a power (but often overlooked) method for finding the area of ANY triangle. In this tutorial we will explain how to use it and then prove it!", + "title": "Heron's formula", "kind": "Topic", - "id": "circles", - "topic_page_url": "/math/geometry/circles/e", - "path": "/math/geometry/circles/", - "extended_slug": "math/geometry/circles" + "id": "heron_formula_tutorial", + "topic_page_url": "/math/geometry/basic-geometry/heron_formula_tutorial", + "path": "/math/geometry/basic-geometry/heron_formula_tutorial/", + "extended_slug": "math/geometry/basic-geometry/heron_formula_tutorial" }, - "tree-of-life": { - "slug": "tree-of-life", + "depreciation-amortization-tut": { + "slug": "depreciation-amortization-tut", "hide": false, - "description": "", - "title": "Tree of life", + "description": "How do you account for things that get \"used up\" or a cost that should be spread over time. This tutorial has your answer. Depreciation and amortization might sound fancy, but you'll hopefully find them to be quite understandable.", + "title": "Depreciation and amortization", "kind": "Topic", - "id": "tree-of-life", - "topic_page_url": "/science/biology/tree-of-life", - "path": "/science/biology/tree-of-life/", - "extended_slug": "science/biology/tree-of-life" + "id": "depreciation-amortization-tut", + "topic_page_url": "/science/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut", + "path": "/science/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut/", + "extended_slug": "science/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut" }, - "lebron-asks": { - "slug": "lebron-asks", + "greens_theorem": { + "slug": "greens_theorem", "hide": false, - "description": "", - "title": "LeBron Asks", + "description": "It is sometimes easier to take a double integral (a particular double integral as we'll see) over a region and sometimes easier to take a line integral around the boundary. Green's theorem draws the connection between the two so we can go back and forth. This tutorial proves Green's theorem and then gives a few examples of using it. If you can take line integrals through vector fields, you're ready for Mr. Green.", + "title": "Green's theorem", "kind": "Topic", - "id": "lebron-asks", - "topic_page_url": "/science/lebron-asks", - "path": "/science/lebron-asks/", - "extended_slug": "science/lebron-asks" + "id": "greens_theorem", + "topic_page_url": "/math/calculus/line_integrals_topic/greens_theorem", + "path": "/math/calculus/line_integrals_topic/greens_theorem/", + "extended_slug": "math/calculus/line_integrals_topic/greens_theorem" }, - "algebra": { - "slug": "algebra", + "hypothesis-testing-two-samples": { + "slug": "hypothesis-testing-two-samples", "hide": false, - "description": "Conceptual videos and worked examples from basic algebra through algebra 2. Includes videos from the former algebra worked examples playlists. ", - "title": "Algebra", + "description": "You're already familiar with hypothesis testing with one sample. In this tutorial, we'll go further by testing whether the difference between the means of two samples seems to be unlikely purely due to chance.", + "title": "Hypothesis testing with two samples", "kind": "Topic", - "id": "algebra", - "topic_page_url": "/math/algebra", - "path": "/math/algebra/", - "extended_slug": "math/algebra" + "id": "hypothesis-testing-two-samples", + "topic_page_url": "/math/probability/statistics/hypothesis-testing-two-samples", + "path": "/math/probability/statistics-inferential/hypothesis-testing-two-samples/", + "extended_slug": "math/probability/statistics/hypothesis-testing-two-samples" }, - "Launcher": { - "slug": "Launcher", + "elimination-reactions-tutorial": { + "slug": "elimination-reactions-tutorial", "hide": false, - "description": "This topic focuses on how to design and create products that solve real problems and bring academic content to life.", - "title": "Projectile Launcher", + "description": "In this tutorial, Sal explains the difference between an E1 and an E2 elimination reaction.", + "title": "Elimination reactions", "kind": "Topic", - "id": "Launcher", - "topic_page_url": "/science/Projects/Launcher", - "path": "/science/projects/Launcher/", - "extended_slug": "science/Projects/Launcher" + "id": "elimination-reactions-tutorial", + "topic_page_url": "/science/organic-chemistry/substitution-elimination-reactions/elimination-reactions-tutorial", + "path": "/science/organic-chemistry/substitution-elimination-reactions/elimination-reactions-tutorial/", + "extended_slug": "science/organic-chemistry/substitution-elimination-reactions/elimination-reactions-tutorial" }, - "reaction-rates": { - "slug": "reaction-rates", + "polynomials": { + "slug": "polynomials", "hide": false, - "description": "", - "title": "Reaction rates", + "description": "Using polynomial expressions and factoring polynomials.", + "title": "Polynomials", "kind": "Topic", - "id": "reaction-rates", - "topic_page_url": "/science/chemistry/reaction-rates", - "path": "/science/chemistry/reaction-rates/", - "extended_slug": "science/chemistry/reaction-rates" + "id": "polynomials", + "topic_page_url": "/math/algebra/polynomials", + "path": "/math/algebra/polynomials/", + "extended_slug": "math/algebra/polynomials" }, - "radical-radicals": { - "slug": "radical-radicals", + "business-cycle-tutorial": { + "slug": "business-cycle-tutorial", "hide": false, - "description": "A strong contender for coolest symbol in mathematics is the radical. What is it? How does it relate to exponents? How is the square root different than the cube root? How can I simplify, multiply and add these things? \n\nThis tutorial assumes you know the basics of exponents and exponent properties and takes you through the radical world for radicals (and gives you some good practice along the way)!", - "title": "Radical radicals", + "description": "Economies never have a long steady march upwards. They constantly oscillate between growth and recession. This tutorial gives a little intuition for why that is.", + "title": "The business cycle", "kind": "Topic", - "id": "radical-radicals", - "topic_page_url": "/math/arithmetic/basic-exponents/radical-radicals", - "path": "/math/arithmetic/exponents-radicals/radical-radicals/", - "extended_slug": "math/arithmetic/basic-exponents/radical-radicals" + "id": "business-cycle-tutorial", + "topic_page_url": "/science/macroeconomics/aggregate-supply-demand-topic/business-cycle-tutorial", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/business-cycle-tutorial/", + "extended_slug": "science/macroeconomics/aggregate-supply-demand-topic/business-cycle-tutorial" + }, + "line_integrals_topic": { + "slug": "line_integrals_topic", + "hide": false, + "description": "Line integral of scalar and vector-valued functions. Green's theorem and 2-D divergence theorem.", + "title": "Line integrals and Green's theorem", + "kind": "Topic", + "id": "line_integrals_topic", + "topic_page_url": "/math/calculus/line_integrals_topic", + "path": "/math/calculus/line_integrals_topic/", + "extended_slug": "math/calculus/line_integrals_topic" + }, + "deadweight-loss-tutorial": { + "slug": "deadweight-loss-tutorial", + "hide": false, + "description": "We can often lose economic efficiency because of things like price floors, ceilings and taxes. This loss in surplus (people who have more marginal benefit than marginal cost are not buying or people who have more marginal cost than benefit are buying) is called deadweight loss.", + "title": "Deadweight loss", + "kind": "Topic", + "id": "deadweight-loss-tutorial", + "topic_page_url": "/science/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial", + "path": "/science/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/", + "extended_slug": "science/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial" }, "pythagorean-theorem": { "slug": "pythagorean-theorem", @@ -2013,71 +7997,49 @@ "path": "/math/algebra/pythagorean-theorem/", "extended_slug": "math/algebra/pythagorean-theorem" }, - "iit-jee": { - "slug": "iit-jee", - "hide": false, - "description": "Questions from previous IIT JEEs", - "title": "IIT JEE", - "kind": "Topic", - "id": "iit-jee", - "topic_page_url": "/test-prep/iit-jee", - "path": "/test-prep/iit-jee/", - "extended_slug": "test-prep/iit-jee" - }, - "More-equation-practice": { - "slug": "More-equation-practice", - "hide": false, - "description": "This tutorial is for you if you already have the basics of solving equations and are looking to put your new-found powers to work in more examples.", - "title": "More equation practice", - "kind": "Topic", - "id": "More-equation-practice", - "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice", - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/", - "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/More-equation-practice" - }, - "ck12-algebra-1": { - "slug": "ck12-algebra-1", + "supply-curve-tutorial": { + "slug": "supply-curve-tutorial", "hide": false, - "description": "Select problems from ck12.org's Algebra 1 FlexBook (Open Source Textbook). This is a good playlist to review if you want to make sure you have a good understanding of all of the major topics in Algebra I.", - "title": "ck12.org Algebra 1 Examples", + "description": "Now we'll focus on the \"supply\" part of supply and demand. Supply curves (as we typically depict them) come out of the idea that producers will make more if they get paid more.", + "title": "The supply curve", "kind": "Topic", - "id": "ck12-algebra-1", - "topic_page_url": "/math/algebra/ck12-algebra-1", - "path": "/math/algebra/ck12-algebra-1/", - "extended_slug": "math/algebra/ck12-algebra-1" + "id": "supply-curve-tutorial", + "topic_page_url": "/science/microeconomics/supply-demand-equilibrium/supply-curve-tutorial", + "path": "/science/microeconomics/supply-demand-equilibrium/supply-curve-tutorial/", + "extended_slug": "science/microeconomics/supply-demand-equilibrium/supply-curve-tutorial" }, - "fancier-systems": { - "slug": "fancier-systems", + "unit_conversion": { + "slug": "unit_conversion", "hide": false, - "description": "Two equations with two unknowns not challenging enough for you? How about three equations with three unknowns? Visualizing lines in 2-D too easy? Well, now you're going to visualize intersecting planes in 3-D baby (ok, we admit that it is weird for a website to call you \"baby\"). Tired of linear systems. Well, we might just bring a little nonlinearity into your life honey (you might want to brush up on your solving quadratics before tackling the non-linear systems). As always, try to pause the videos and do them before Sal does!", - "title": "Fancier systems of equations", + "description": "Wait, I'm in Europe and my car only tells my distance traveled in kilometers! But I'm used to a units of distance devised by the Romans to measure the average length of 1000 paces of a soldier (the \"mile\")! How do I operate? \n\nThis tutorial is about the fundamental skill of unit conversion. Sal's cousin Nadia being a bit confused with this was actually the reason why he started tutoring her (which led to the creation of the Khan Academy).", + "title": "Unit conversion", "kind": "Topic", - "id": "fancier-systems", - "topic_page_url": "/math/algebra/systems-of-eq-and-ineq/fancier-systems", - "path": "/math/algebra/systems-of-eq-and-ineq/fancier-systems/", - "extended_slug": "math/algebra/systems-of-eq-and-ineq/fancier-systems" + "id": "unit_conversion", + "topic_page_url": "/math/arithmetic/rates-and-ratios/unit_conversion", + "path": "/math/arithmetic/rates-and-ratios/unit_conversion/", + "extended_slug": "math/arithmetic/rates-and-ratios/unit_conversion" }, - "blood-pressure": { - "slug": "blood-pressure", + "matrices_elimination": { + "slug": "matrices_elimination", "hide": false, - "description": "Learn about blood pressure and how we measure it. Take a deeper dive and find out how blood pressure is related to resistance and flow!", - "title": "Blood Pressure", + "description": "This tutorial is a bit of an excursion back to you Algebra II days when you first solved systems of equations (and possibly used matrices to do so). In this tutorial, we did a bit deeper than you may have then, with emphasis on valid row operations and getting a matrix into reduced row echelon form.", + "title": "Matrices for solving systems by elimination", "kind": "Topic", - "id": "blood-pressure", - "topic_page_url": "/science/healthcare-and-medicine/blood-pressure", - "path": "/science/healthcare-and-medicine/blood-pressure/", - "extended_slug": "science/healthcare-and-medicine/blood-pressure" + "id": "matrices_elimination", + "topic_page_url": "/math/linear-algebra/vectors_and_spaces/matrices_elimination", + "path": "/math/linear-algebra/vectors_and_spaces/matrices_elimination/", + "extended_slug": "math/linear-algebra/vectors_and_spaces/matrices_elimination" }, - "competition-math": { - "slug": "competition-math", + "derivative_intro": { + "slug": "derivative_intro", "hide": false, - "description": "Example problems from random math competitions", - "title": "Competition Math", + "description": "Discover what magic we can derive when we take a derivative, which is the slope of the tangent line at any point on a curve.", + "title": "Introduction to derivatives", "kind": "Topic", - "id": "competition-math", - "topic_page_url": "/test-prep/competition-math", - "path": "/test-prep/competition-math/", - "extended_slug": "test-prep/competition-math" + "id": "derivative_intro", + "topic_page_url": "/math/calculus/differential-calculus/derivative_intro", + "path": "/math/calculus/differential-calculus/derivative_intro/", + "extended_slug": "math/calculus/differential-calculus/derivative_intro" }, "healthcare-and-medicine": { "slug": "healthcare-and-medicine", @@ -2090,115 +8052,49 @@ "path": "/science/healthcare-and-medicine/", "extended_slug": "science/healthcare-and-medicine" }, - "algebra-i": { - "slug": "algebra-i", - "hide": false, - "description": "Sal works through the problems from the CA Standards released questions. It is best first to go through the algebra topic first as it is more comprehensive.", - "title": "Algebra I", - "kind": "Topic", - "id": "algebra-i", - "topic_page_url": "/test-prep/california-standards-test/algebra-i", - "path": "/test-prep/california-standards-test/algebra-i/", - "extended_slug": "test-prep/california-standards-test/algebra-i" - }, - "humanities": { - "slug": "humanities", - "hide": false, - "description": "", - "title": "Humanities", - "kind": "Topic", - "id": "humanities", - "topic_page_url": null, - "path": "/humanities/", - "extended_slug": "humanities" - }, - "logarithms-tutorial": { - "slug": "logarithms-tutorial", + "sat-math": { + "slug": "sat-math", "hide": false, - "description": "Log-a-what? No, this tutorial is about neither chopped wood nor music (actually logarithms do have applications in music), but it is fascinating nonetheless.\n\nYou know how to take an exponent. Now you can think about what exponent you have to raise a number to to get another number. Yes, I agree--unstoppable fun for the whole family. No, seriously, logarithms are used everywhere (including measure earthquakes and sound).", - "title": "Logarithms", + "description": "Sal works through every problem in the first edition of the College Board \"Official SAT Study Guide\" (ISBN Number: 0-87447-718-2 published in 2004). You should take the practice tests on your own, grade them and then use these videos to understand the problems you didn't get or to review. Have fun!\n\nIf you're using the second edition of the study guide with 10 practice tests, you can still use some of these videos. Practice tests 4-10 in the newer book correspond to tests 2-8 below.", + "title": "SAT Math", "kind": "Topic", - "id": "logarithms-tutorial", - "topic_page_url": "/math/algebra/logarithms-tutorial", - "path": "/math/algebra/logarithms-tutorial/", - "extended_slug": "math/algebra/logarithms-tutorial" + "id": "sat-math", + "topic_page_url": "/test-prep/sat-math", + "path": "/test-prep/sat-math/", + "extended_slug": "test-prep/sat-math" }, "basic-geometry": { "slug": "basic-geometry", "hide": false, - "description": "Finding perimeter, volume, and area of basic shapes without algebra.", - "title": "Basic geometry", + "description": "A broad set of tutorials covering perimeter area and volume with and without algebra.", + "title": "Perimeter, area and volume", "kind": "Topic", "id": "basic-geometry", "topic_page_url": "/math/geometry/basic-geometry", "path": "/math/geometry/basic-geometry/", "extended_slug": "math/geometry/basic-geometry" }, - "art-history-1907-1960-age-of-global-conflict": { - "slug": "art-history-1907-1960-age-of-global-conflict", + "right_triangles_topic": { + "slug": "right_triangles_topic", "hide": false, - "description": "", - "title": "1907-1960 Age of Global Conflict", + "description": "Triangles are not always right (although they are never wrong), but when they are it opens up an exciting world of possibilities. Not only are right triangles cool in their own right (pun intended), they are the basis of very important ideas in analytic geometry (the distance between two points in space) and trigonometry.", + "title": "Right triangles", "kind": "Topic", - "id": "art-history-1907-1960-age-of-global-conflict", - "topic_page_url": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict", - "path": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/", - "extended_slug": "humanities/art-history/art-history-1907-1960-age-of-global-conflict" + "id": "right_triangles_topic", + "topic_page_url": "/math/geometry/right_triangles_topic", + "path": "/math/geometry/right_triangles_topic/", + "extended_slug": "math/geometry/right_triangles_topic" }, - "complex-numbers": { - "slug": "complex-numbers", + "prob_comb": { + "slug": "prob_comb", "hide": false, - "description": "Understanding and solving equations with imaginary numbers.", - "title": "Complex numbers", + "description": "Basics of probability and combinatorics", + "title": "Probability and combinatorics", "kind": "Topic", - "id": "complex-numbers", - "topic_page_url": "/math/algebra/complex-numbers", - "path": "/math/algebra/complex-numbers/", - "extended_slug": "math/algebra/complex-numbers" - }, - "info-theory": { - "slug": "info-theory", - "hide": false, - "description": "A story about human, animal and machine communication. A lesson by Brit Cruise", - "title": "Information Theory", - "kind": "Topic", - "id": "info-theory", - "topic_page_url": "/math/applied-math/info-theory", - "path": "/math/applied-math/info-theory/", - "extended_slug": "math/applied-math/info-theory" - }, - "chemistry": { - "slug": "chemistry", - "hide": false, - "description": "Videos on chemistry (roughly covering a first-year high school or college course).", - "title": "Chemistry", - "kind": "Topic", - "id": "chemistry", - "topic_page_url": "/science/chemistry", - "path": "/science/chemistry/", - "extended_slug": "science/chemistry" - }, - "physics": { - "slug": "physics", - "hide": false, - "description": "Projectile motion, mechanics and electricity and magnetism. 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"description": "u13_l2_t4_we1 Graphing Inequalities", + "description": "Graphing Inequalities", "title": "Graphing Inequalities 1", "duration": 366, "youtube_id": "2oGsLdAWxlk", @@ -2268,12 +8180,12 @@ }, "graphing-inequalities-2": { "kind": "Video", - "description": "u13_l2_t4_we2 Graphing Inequalities 2", + "description": "Graphing Inequalities 2", "title": "Graphing Inequalities 2", "duration": 320, "youtube_id": "-aTy1ED1m5I", "keywords": "u13_l2_t4_we2, Graphing, Inequalities", - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities/v/graphing-inequalities-2/", + "path": "/math/trigonometry/graphs/graphing_inequalities/v/graphing-inequalities-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-aTy1ED1m5I.mp4/-aTy1ED1m5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-aTy1ED1m5I.mp4/-aTy1ED1m5I.png", @@ -2282,6 +8194,22 @@ "slug": "graphing-inequalities-2", "readable_id": "graphing-inequalities-2" }, + "currency-effect-on-trade": { + "kind": "Video", + "description": "Currency Effect on Trade", + "title": "Currency Effect on Trade", + "duration": 860, + "youtube_id": "5HVCFrXQ9pw", + "keywords": "Currency, Effect, on, Trade, Yuan, Renminbi", + "path": "/science/core-finance/money-and-banking/currency-tutorial/v/currency-effect-on-trade/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5HVCFrXQ9pw.mp4/5HVCFrXQ9pw.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/5HVCFrXQ9pw.mp4/5HVCFrXQ9pw.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5HVCFrXQ9pw.m3u8/5HVCFrXQ9pw.m3u8" + }, + "slug": "currency-effect-on-trade", + "readable_id": "currency-effect-on-trade" + }, "surface-integral-ex3-part-4---home-stretch": { "kind": "Video", "description": "Evaluating the third surface integral and coming to the final answer", @@ -2289,7 +8217,7 @@ "duration": 242, "youtube_id": "bhrmEy0wvD0", "keywords": "vector, calculus, multivariable", - "path": "/math/calculus/multivariable-calculus/v/surface-integral-ex3-part-4---home-stretch/", + "path": "/math/calculus/multivariable-calculus/surface_integrals/v/surface-integral-ex3-part-4---home-stretch/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/bhrmEy0wvD0.mp4/bhrmEy0wvD0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bhrmEy0wvD0.mp4/bhrmEy0wvD0.png", @@ -2305,7 +8233,7 @@ "duration": 702, "youtube_id": "gzmSKrwiG3g", "keywords": "calculus, maximum, minimum, CC_39336_F-IF_4, CC_39336_F-IF_7_a", - "path": "/math/calculus/differential-calculus/v/calculus--maximum-and-minimum-values-on-an-interval/", + "path": "/math/calculus/derivative_applications/critical_points_graphing/v/calculus--maximum-and-minimum-values-on-an-interval/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gzmSKrwiG3g.mp4/gzmSKrwiG3g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gzmSKrwiG3g.mp4/gzmSKrwiG3g.png", @@ -2353,7 +8281,7 @@ "duration": 278, "youtube_id": "6FL81EVJTUE", "keywords": "Santa Prassede, Smarthistory, Khan Academy, Rome, Mosaics, Saint Pudens, Praxedes, Pudens, Context Travel", - "path": "/humanities/art-history/art-history-400-1300-medieval-era/v/mosaics--santa-prassede--rome--early-9th-century/", + "path": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/v/mosaics--santa-prassede--rome--early-9th-century/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6FL81EVJTUE.mp4/6FL81EVJTUE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6FL81EVJTUE.mp4/6FL81EVJTUE.png", @@ -2369,7 +8297,7 @@ "duration": 237, "youtube_id": "LDuJ1AD7n54", "keywords": "normal, backwardation", - "path": "/finance-economics/core-finance/v/backwardation/", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/backwardation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/LDuJ1AD7n54.mp4/LDuJ1AD7n54.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LDuJ1AD7n54.mp4/LDuJ1AD7n54.png", @@ -2378,6 +8306,22 @@ "slug": "backwardation", "readable_id": "backwardation" }, + "quadratic-inequalities--visual-explanation": { + "kind": "Video", + "description": "How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means.", + "title": "Quadratic Inequalities (Visual Explanation)", + "duration": 591, + "youtube_id": "xdiBjypYFRQ", + "keywords": "Algebra, Math, Khan", + "path": "/math/trigonometry/polynomial_and_rational/quad_ineq/v/quadratic-inequalities--visual-explanation/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xdiBjypYFRQ.mp4/xdiBjypYFRQ.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/xdiBjypYFRQ.mp4/xdiBjypYFRQ.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xdiBjypYFRQ.m3u8/xdiBjypYFRQ.m3u8" + }, + "slug": "quadratic-inequalities--visual-explanation", + "readable_id": "quadratic-inequalities--visual-explanation" + }, "connecting-the-motor-controller-to-the-arduino": { "kind": "Video", "description": "In this video we show you how to determine which wire is which and how to connect them to your Arduino.", @@ -2401,7 +8345,7 @@ "duration": 593, "youtube_id": "5mNTvtjDnP8", "keywords": "Chronometric, Revolution", - "path": "/science/cosmology-and-astronomy/v/chronometric-revolution/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/v/chronometric-revolution/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5mNTvtjDnP8.mp4/5mNTvtjDnP8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5mNTvtjDnP8.mp4/5mNTvtjDnP8.png", @@ -2412,12 +8356,12 @@ }, "rational-equations": { "kind": "Video", - "description": "u15_l2_t1_we1 Rational Equations", + "description": "Rational Equations", "title": "Rational Equations", "duration": 256, "youtube_id": "bRwJ-QCz9XU", "keywords": "u15_l2_t1_we1, Rational, Equations, CC_6_EE_6, CC_7_EE_4_a", - "path": "/math/algebra/rational-expressions/v/rational-equations/", + "path": "/math/trigonometry/polynomial_and_rational/rational_funcs_tutorial/v/rational-equations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/bRwJ-QCz9XU.mp4/bRwJ-QCz9XU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bRwJ-QCz9XU.mp4/bRwJ-QCz9XU.png", @@ -2433,7 +8377,7 @@ "duration": 440, "youtube_id": "clXSqjs1wgQ", "keywords": "Trigonometry, trig, rotation, cosine, cos", - "path": "/math/trigonometry/v/ferris-wheel-trig-problem/", + "path": "/math/trigonometry/basic-trigonometry/unit_circle_tut/v/ferris-wheel-trig-problem/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/clXSqjs1wgQ.mp4/clXSqjs1wgQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/clXSqjs1wgQ.mp4/clXSqjs1wgQ.png", @@ -2465,7 +8409,7 @@ "duration": 361, "youtube_id": "8dMLK2Wueaw", "keywords": "maclaurin, taylor, series, expansion, marquee, CC_39336_F-IF_7_e", - "path": "/math/calculus/integral-calculus/v/visualizing-taylor-series-approximations/", + "path": "/math/calculus/sequences_series_approx_calc/maclaurin_taylor/v/visualizing-taylor-series-approximations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8dMLK2Wueaw.mp4/8dMLK2Wueaw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8dMLK2Wueaw.mp4/8dMLK2Wueaw.png", @@ -2476,12 +8420,12 @@ }, "representing-a-number-as-a-decimal--percent--and-fraction-2": { "kind": "Video", - "description": "U05_L1_T1_we4 Representing a number as a decimal, percent, and fraction 2", + "description": "Representing a number as a decimal, percent, and fraction 2", "title": "Representing a number as a decimal, percent, and fraction 2", "duration": 325, "youtube_id": "Hkwfibux88s", "keywords": "percent, and fraction 2, CC_5_NF_3, CC_7_EE_3, CC_7_NS_2_d", - "path": "/math/arithmetic/percents/v/representing-a-number-as-a-decimal--percent--and-fraction-2/", + "path": "/math/arithmetic/fractions/decimals_fractions/v/representing-a-number-as-a-decimal--percent--and-fraction-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hkwfibux88s.mp4/Hkwfibux88s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hkwfibux88s.mp4/Hkwfibux88s.png", @@ -2497,7 +8441,7 @@ "duration": 397, "youtube_id": "mwUyaeWxJhA", "keywords": "farming, agriculture, firestick, aborigines", - "path": "/science/cosmology-and-astronomy/v/firestick-farming/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/firestick-farming/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/mwUyaeWxJhA.mp4/mwUyaeWxJhA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mwUyaeWxJhA.mp4/mwUyaeWxJhA.png", @@ -2513,7 +8457,7 @@ "duration": 485, "youtube_id": "VPz4bCQDGgk", "keywords": "stokes, theorem, example", - "path": "/math/calculus/multivariable-calculus/v/stokes-example-part-3---surface-to-double-integral/", + "path": "/math/calculus/multivariable-calculus/stokes_theorem/v/stokes-example-part-3---surface-to-double-integral/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VPz4bCQDGgk.mp4/VPz4bCQDGgk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VPz4bCQDGgk.mp4/VPz4bCQDGgk.png", @@ -2525,11 +8469,11 @@ "proofs-of-derivatives-of-ln-x--and-e-x": { "kind": "Video", "description": "Doing both proofs in the same video to clarify any misconceptions that the original proof was \"circular\".", - "title": "Proofs of Derivatives of Ln(x) and e^x", + "title": "Proofs of derivatives of ln(x) and e^x", "duration": 747, "youtube_id": "3nQejB-XPoY", "keywords": "calculus, derivative, implicit, differentiation, ln", - "path": "/math/calculus/differential-calculus/v/proofs-of-derivatives-of-ln-x--and-e-x/", + "path": "/math/calculus/differential-calculus/der_common_functions/v/proofs-of-derivatives-of-ln-x--and-e-x/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3nQejB-XPoY.mp4/3nQejB-XPoY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3nQejB-XPoY.mp4/3nQejB-XPoY.png", @@ -2538,6 +8482,38 @@ "slug": "proofs-of-derivatives-of-ln-x--and-e-x", "readable_id": "proofs-of-derivatives-of-ln-x--and-e-x" }, + "evaluating-line-integral-directly---part-1": { + "kind": "Video", + "description": "Showing that we didn't need to use Stokes' Theorem to evaluate this line integral", + "title": "Evaluating Line Integral Directly - 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"path": "/finance-economics/microeconomics/v/taxation-and-dead-weight-loss/", + "path": "/science/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/taxation-and-dead-weight-loss/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NuLlNAdrom4.mp4/NuLlNAdrom4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NuLlNAdrom4.mp4/NuLlNAdrom4.png", @@ -2561,7 +8537,7 @@ "duration": 544, "youtube_id": "6r1GQCxyMKI", "keywords": "conic, sections, circle, algebra", - "path": "/math/algebra/conic-sections/v/conic-sections--intro-to-circles/", + "path": "/math/trigonometry/conics_precalc/circles-tutorial-precalc/v/conic-sections--intro-to-circles/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6r1GQCxyMKI.mp4/6r1GQCxyMKI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6r1GQCxyMKI.mp4/6r1GQCxyMKI.png", @@ -2609,7 +8585,7 @@ "duration": 459, "youtube_id": "EFdlFoHI_0I", "keywords": "ANOVA, Calculating, SST, (Total, Sum, of, Squares), analysis, variance, CC_7_SP_3, CC_7_SP_4", - "path": "/math/statistics/v/anova-1---calculating-sst--total-sum-of-squares/", + "path": "/math/probability/statistics-inferential/anova/v/anova-1---calculating-sst--total-sum-of-squares/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/EFdlFoHI_0I.mp4/EFdlFoHI_0I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EFdlFoHI_0I.mp4/EFdlFoHI_0I.png", @@ -2620,12 +8596,12 @@ }, "equation-of-a-line-2": { "kind": "Video", - "description": "u13_l2_t2_we2 Equation of a line 2", + "description": "Equation of a line 2", "title": "Equation of a line 2", "duration": 237, "youtube_id": "MxiqyE2uMCo", "keywords": "u13_l2_t2_we2, Equation, of, line, CC_8_EE_6, CC_8_F_3", - "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/equation-of-a-line-2/", + "path": "/math/trigonometry/graphs/line_equation/v/equation-of-a-line-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MxiqyE2uMCo.mp4/MxiqyE2uMCo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MxiqyE2uMCo.mp4/MxiqyE2uMCo.png", @@ -2636,12 +8612,12 @@ }, "equation-of-a-line-3": { "kind": "Video", - "description": "u13_l2_t2_we3 Equation of a line 3", + "description": "Equation of a line 3", "title": "Equation of a line 3", "duration": 402, "youtube_id": "XMJ72mtMn4Y", "keywords": "u13_l2_t2_we3, Equation, of, line, CC_8_EE_6, CC_8_F_3", - "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/equation-of-a-line-3/", + "path": "/math/trigonometry/graphs/line_equation/v/equation-of-a-line-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XMJ72mtMn4Y.mp4/XMJ72mtMn4Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XMJ72mtMn4Y.mp4/XMJ72mtMn4Y.png", @@ -2652,12 +8628,12 @@ }, "equation-of-a-line-1": { "kind": "Video", - "description": "u13_l2_t2_we1 Equation of a line", + "description": "Equation of a line", "title": "Equation of a line 1", "duration": 226, "youtube_id": "AqFwKecNaTk", "keywords": "u13_l2_t2_we1, Equation, of, line, CC_8_EE_6, CC_8_F_3, CC_8_F_5, CC_39336_F-IF_4", - "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/equation-of-a-line-1/", + "path": "/math/trigonometry/graphs/line_equation/v/equation-of-a-line-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AqFwKecNaTk.mp4/AqFwKecNaTk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AqFwKecNaTk.mp4/AqFwKecNaTk.png", @@ -2673,7 +8649,7 @@ "duration": 1068, "youtube_id": "4qfdCwys2ew", "keywords": "differential, equations, laplace, transform, dirac", - "path": "/math/differential-equations/v/dirac-delta-function/", + "path": "/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/dirac-delta-function/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4qfdCwys2ew.mp4/4qfdCwys2ew.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4qfdCwys2ew.mp4/4qfdCwys2ew.png", @@ -2689,7 +8665,7 @@ "duration": 190, "youtube_id": "_q25hz5xLdk", "keywords": "Put, vs., Short, and, Leverage", - "path": "/finance-economics/core-finance/v/put-vs--short-and-leverage/", + "path": "/science/core-finance/derivative-securities/put-call-options/v/put-vs--short-and-leverage/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_q25hz5xLdk.mp4/_q25hz5xLdk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_q25hz5xLdk.mp4/_q25hz5xLdk.png", @@ -2698,21 +8674,21 @@ "slug": "put-vs--short-and-leverage", "readable_id": "put-vs--short-and-leverage" }, - "real-gdp-and-nominal-gdp": { + "parts-of-a-nephron": { "kind": "Video", - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Parts of a nephron", + "duration": 549, + "youtube_id": "_vBJkK4eocA", + "keywords": "", + "path": "/science/healthcare-and-medicine/blood-pressure-control/v/parts-of-a-nephron/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lBDT2w5Wl84.mp4/lBDT2w5Wl84.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/lBDT2w5Wl84.mp4/lBDT2w5Wl84.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lBDT2w5Wl84.m3u8/lBDT2w5Wl84.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_vBJkK4eocA.mp4/_vBJkK4eocA.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/_vBJkK4eocA.mp4/_vBJkK4eocA.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_vBJkK4eocA.m3u8/_vBJkK4eocA.m3u8" }, - "slug": "real-gdp-and-nominal-gdp", - "readable_id": "real-gdp-and-nominal-gdp" + "slug": "parts-of-a-nephron", + "readable_id": "parts-of-a-nephron" }, "peter-paul-rubens--the-consequences-of-war--1638-39": { "kind": "Video", @@ -2801,7 +8777,7 @@ "duration": 729, "youtube_id": "FXgV9ySNusc", "keywords": "Polynomial, Division, CC_39336_A-APR_2", - 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"path": "/finance-economics/microeconomics/v/cross-elasticity-of-demand/", + "path": "/science/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/cross-elasticity-of-demand/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ngv0Be9NxAw.mp4/Ngv0Be9NxAw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ngv0Be9NxAw.mp4/Ngv0Be9NxAw.png", @@ -2865,7 +8841,7 @@ "duration": 768, "youtube_id": "-ejyeII0i5c", "keywords": "calculus, epsilon, delta, limit", - "path": "/math/calculus/differential-calculus/v/epsilon-delta-limit-definition-1/", + "path": "/math/calculus/limits_topic/epsilon_delta/v/epsilon-delta-limit-definition-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-ejyeII0i5c.mp4/-ejyeII0i5c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-ejyeII0i5c.mp4/-ejyeII0i5c.png", @@ -2877,11 +8853,11 @@ "division-3--more-long-division-and-remainder-examples": { "kind": "Video", "description": "More long division and remainder examples", - "title": "Division 3: More long division and remainder examples", + "title": "More long division and remainder examples", "duration": 607, "youtube_id": "NcADzGz3bSI", "keywords": "long, division, remainder, CC_3_OA_2, CC_3_OA_6, CC_3_OA_7, CC_4_NBT_6, CC_4_OA_3", - "path": "/math/arithmetic/multiplication-division/v/division-3--more-long-division-and-remainder-examples/", + "path": "/math/arithmetic/multiplication-division/long_division/v/division-3--more-long-division-and-remainder-examples/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NcADzGz3bSI.mp4/NcADzGz3bSI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NcADzGz3bSI.mp4/NcADzGz3bSI.png", @@ -2897,7 +8873,7 @@ "duration": 571, "youtube_id": "iorZdz4dsBU", "keywords": "significant, digits", - "path": "/math/arithmetic/decimals/v/multiplying-and-dividing-with-significant-figures/", + "path": "/math/arithmetic/decimals/significant_figures_tutorial/v/multiplying-and-dividing-with-significant-figures/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/iorZdz4dsBU.mp4/iorZdz4dsBU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iorZdz4dsBU.mp4/iorZdz4dsBU.png", @@ -2908,12 +8884,12 @@ }, "adding-mixed-numbers": { "kind": "Video", - "description": "U02_L3_T1_we3 Adding Mixed Numbers", + "description": "Adding Mixed Numbers", "title": "Adding Mixed Numbers", "duration": 126, "youtube_id": "4TBVB4hLQhY", "keywords": "U02_L3_T1_we3, Adding, Mixed, Numbers, CC_4_MD_2, CC_4_NF_3_b, CC_4_NF_3_d", - "path": "/math/arithmetic/fractions/v/adding-mixed-numbers/", + "path": "/math/arithmetic/fractions/Mixed_number_add_sub/v/adding-mixed-numbers/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4TBVB4hLQhY.mp4/4TBVB4hLQhY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4TBVB4hLQhY.mp4/4TBVB4hLQhY.png", @@ -2945,7 +8921,7 @@ "duration": 608, "youtube_id": "BaQXFstxCMo", "keywords": "Linear, Equations, in, Standard, Form, CC_39336_F-IF_7_a", - "path": "/math/algebra/ck12-algebra-1/v/linear-equations-in-standard-form/", + "path": "/math/trigonometry/graphs/line_equation/v/linear-equations-in-standard-form/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BaQXFstxCMo.mp4/BaQXFstxCMo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BaQXFstxCMo.mp4/BaQXFstxCMo.png", @@ -2961,7 +8937,7 @@ "duration": 168, "youtube_id": "01c12NaUQDw", "keywords": "", - 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"path": "/math/calculus/differential-calculus/v/rates-of-change--part-2/", + "path": "/math/calculus/derivative_applications/rates_of_change/v/rates-of-change--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xmgk8_l3lig.mp4/xmgk8_l3lig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xmgk8_l3lig.mp4/xmgk8_l3lig.png", @@ -3009,7 +9001,7 @@ "duration": 302, "youtube_id": "_6kwhF6hoqQ", "keywords": "consumer, surplus, marginal, benefit", - "path": "/finance-economics/microeconomics/v/consumer-surplus-introduction/", + "path": "/science/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut/v/consumer-surplus-introduction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_6kwhF6hoqQ.mp4/_6kwhF6hoqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_6kwhF6hoqQ.mp4/_6kwhF6hoqQ.png", @@ -3025,7 +9017,7 @@ "duration": 558, "youtube_id": "mO6y4KON1e8", "keywords": "finance, economics", - "path": "/finance-economics/core-finance/v/inflation-overview/", + "path": "/science/core-finance/inflation-tutorial/inflation-basics-tutorial/v/inflation-overview/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/mO6y4KON1e8.mp4/mO6y4KON1e8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mO6y4KON1e8.mp4/mO6y4KON1e8.png", @@ -3036,12 +9028,12 @@ }, "mixture-problems-1": { "kind": "Video", - "description": "U06_L2_T2_we1 Mixture problems 1", + "description": "Mixture problems 1", "title": "Mixture problems 1", "duration": 165, "youtube_id": "5Dzdrb8MKBg", "keywords": "U06_L2_T2_we1, Mixture, problems, CC_7_RP_2, CC_7_RP_2_b, CC_7_RP_2_c, CC_7_RP_3, CC_39336_A-CED_2, CC_39336_A-REI_1", - "path": "/math/algebra/systems-of-eq-and-ineq/extra-systems/v/mixture-problems-1/", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-word-problems/v/mixture-problems-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5Dzdrb8MKBg.mp4/5Dzdrb8MKBg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5Dzdrb8MKBg.mp4/5Dzdrb8MKBg.png", @@ -3052,12 +9044,12 @@ }, "mixture-problems-2": { "kind": "Video", - "description": "U06_L2_T2_we2 Mixture problems 2", + "description": "Mixture problems 2", "title": "Mixture problems 2", "duration": 403, "youtube_id": "OBVGQt1Eeug", "keywords": "U06_L2_T2_we2, Mixture, problems, CC_7_RP_2, CC_7_RP_2_b, CC_7_RP_2_c, CC_7_RP_3, CC_39336_A-CED_2, CC_39336_A-REI_1", - "path": "/math/algebra/systems-of-eq-and-ineq/extra-systems/v/mixture-problems-2/", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-word-problems/v/mixture-problems-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/OBVGQt1Eeug.mp4/OBVGQt1Eeug.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OBVGQt1Eeug.mp4/OBVGQt1Eeug.png", @@ -3068,12 +9060,12 @@ }, "mixture-problems-3": { "kind": "Video", - "description": "U06_L2_T2_we3 Mixture problems 3", + "description": "Mixture problems 3", "title": "Mixture problems 3", "duration": 247, "youtube_id": "JVlfQEhzLMM", "keywords": "U06_L2_T2_we3, Mixture, problems, CC_7_RP_2, CC_7_RP_2_b, CC_7_RP_2_c, CC_7_RP_3, CC_39336_A-CED_2, CC_39336_A-REI_1", - "path": "/math/algebra/systems-of-eq-and-ineq/extra-systems/v/mixture-problems-3/", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-word-problems/v/mixture-problems-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/JVlfQEhzLMM.mp4/JVlfQEhzLMM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JVlfQEhzLMM.mp4/JVlfQEhzLMM.png", @@ -3089,7 +9081,7 @@ "duration": 245, "youtube_id": "57gz50uTPqM", "keywords": "accounts, payable, receivable, working, capital", - "path": "/finance-economics/core-finance/v/doing-the-example-with-accounts-payable-growing/", + "path": "/science/core-finance/accounting-and-financial-stateme/financial-statements-tutorial/v/doing-the-example-with-accounts-payable-growing/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/57gz50uTPqM.mp4/57gz50uTPqM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/57gz50uTPqM.mp4/57gz50uTPqM.png", @@ -3105,7 +9097,7 @@ "duration": 349, "youtube_id": "nW1rxuQft1o", "keywords": "mutual, fund, finance", - "path": "/finance-economics/core-finance/v/open-end-mutual-fund-redemptions/", + "path": "/science/core-finance/investment-vehicles-tutorial/mutual-funds/v/open-end-mutual-fund-redemptions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/nW1rxuQft1o.mp4/nW1rxuQft1o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nW1rxuQft1o.mp4/nW1rxuQft1o.png", @@ -3137,7 +9129,7 @@ "duration": 604, "youtube_id": "TMmxKZaCqe0", "keywords": "logarithm, properties, math, CC_39336_F-BF_5", - "path": "/math/algebra/logarithms-tutorial/v/introduction-to-logarithm-properties--part-2/", + "path": "/math/algebra/logarithms-tutorial/logarithm_properties/v/introduction-to-logarithm-properties--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TMmxKZaCqe0.mp4/TMmxKZaCqe0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TMmxKZaCqe0.mp4/TMmxKZaCqe0.png", @@ -3194,6 +9186,22 @@ "slug": "sat-prep--test-1-section-3-part-8", "readable_id": "sat-prep--test-1-section-3-part-8" }, + "lichtenstein--rouen-cathedral-set-v--1969": { + "kind": "Video", + "description": "Roy Lichtenstein, Rouen Cathedral Set V, 1969, oil and magna on canvas, 3 canvases: 63-5/8 x 141-7/8 x 1-3/4 inches or 161.61 x 360.36 x 4.45 cm (SFMOMA) \n\nSpeakers: Dr,. Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/lichtensteins-rouen-cathedral-set-v.html", + "title": "Lichtenstein's Rouen Cathedral Set V", + "duration": 190, + "youtube_id": "GpwAsXrBJ-Q", + "keywords": "Lichtenstein, Rouen, Art History, Smarthistory, Pop Art", + "path": "/humanities/art-history/art-history-1960---age-of-post-colonialism/v/lichtenstein--rouen-cathedral-set-v--1969/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GpwAsXrBJ-Q.mp4/GpwAsXrBJ-Q.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/GpwAsXrBJ-Q.mp4/GpwAsXrBJ-Q.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GpwAsXrBJ-Q.m3u8/GpwAsXrBJ-Q.m3u8" + }, + "slug": "lichtenstein--rouen-cathedral-set-v--1969", + "readable_id": "lichtenstein--rouen-cathedral-set-v--1969" + }, "sat-prep--test-1-section-3-part-6": { "kind": "Video", "description": "Problems 15-16 starting on page 399", @@ -3217,7 +9225,7 @@ "duration": 560, "youtube_id": "XTMbRDRaviM", "keywords": "microeconomics", - "path": "/finance-economics/microeconomics/v/game-theory-of-cheating-firms/", + "path": "/science/microeconomics/nash-equilibrium-tutorial/cartels-cheat-tutorial/v/game-theory-of-cheating-firms/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XTMbRDRaviM.mp4/XTMbRDRaviM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XTMbRDRaviM.mp4/XTMbRDRaviM.png", @@ -3361,7 +9369,7 @@ "duration": 199, "youtube_id": "AnATlMVA12E", "keywords": "normal, inverted, futures, forward, curves", - "path": "/finance-economics/core-finance/v/futures-and-forward-curves/", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/futures-and-forward-curves/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AnATlMVA12E.mp4/AnATlMVA12E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AnATlMVA12E.mp4/AnATlMVA12E.png", @@ -3372,12 +9380,12 @@ }, "prime-factorization": { "kind": "Video", - "description": "U02_L1_T3_we3 Prime Factorization", + "description": "Prime Factorization", "title": "Prime Factorization", "duration": 249, "youtube_id": "ZKKDTfHcsG0", "keywords": "U02_L1_T3_we3, Prime, Factorization, CC_4_OA_4", - "path": "/math/arithmetic/factors-multiples/v/prime-factorization/", + "path": "/math/arithmetic/factors-multiples/prime_factorization/v/prime-factorization/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZKKDTfHcsG0.mp4/ZKKDTfHcsG0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZKKDTfHcsG0.mp4/ZKKDTfHcsG0.png", @@ -3388,7 +9396,7 @@ }, "absolute-inequalities-2": { "kind": "Video", - "description": "U05_L1_T2_we2 : Absolute Inequalities 2", + "description": "Absolute Inequalities 2", "title": "Absolute Inequalities 2", "duration": 450, "youtube_id": "x5EJG_rAtkY", @@ -3409,7 +9417,7 @@ "duration": 453, "youtube_id": "6zV3JEjLoyE", "keywords": "Parsec, Definition, parallax, arsecond", - "path": "/science/cosmology-and-astronomy/v/parsec-definition/", + "path": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial/v/parsec-definition/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6zV3JEjLoyE.mp4/6zV3JEjLoyE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6zV3JEjLoyE.mp4/6zV3JEjLoyE.png", @@ -3425,7 +9433,7 @@ "duration": 982, "youtube_id": "CH6FQhlZn6k", "keywords": "napoleon, abdicate, exite, elba", - "path": "/humanities/history/euro-hist/v/napoleon-forced-to-abdicate/", + "path": "/humanities/history/euro-hist/napoleon-bonaparte/v/napoleon-forced-to-abdicate/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/CH6FQhlZn6k.mp4/CH6FQhlZn6k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CH6FQhlZn6k.mp4/CH6FQhlZn6k.png", @@ -3500,12 +9508,12 @@ }, "converting-mixed-numbers-to-improper-fractions": { "kind": "Video", - "description": "u2_l1_t2_we2 Converting Mixed Numbers to Improper Fractions", + "description": "Converting Mixed Numbers to Improper Fractions", "title": "Converting Mixed Numbers to Improper Fractions", "duration": 266, "youtube_id": "-sA-vI2a2mM", "keywords": "u2_l1_t2_we2, Converting, Mixed, Numbers, to, Improper, Fractions", - "path": "/math/arithmetic/fractions/v/converting-mixed-numbers-to-improper-fractions/", + "path": "/math/arithmetic/fractions/mixed_numbers/v/converting-mixed-numbers-to-improper-fractions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-sA-vI2a2mM.mp4/-sA-vI2a2mM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-sA-vI2a2mM.mp4/-sA-vI2a2mM.png", @@ -3514,6 +9522,22 @@ "slug": "converting-mixed-numbers-to-improper-fractions", "readable_id": "converting-mixed-numbers-to-improper-fractions" }, + "gmat-math-40": { + "kind": "Video", + "description": "198-200, pg. 179", + "title": "GMAT Math 40", + "duration": 699, + "youtube_id": "oug9h9-komI", + "keywords": "gmat, math, problem, solving", + "path": "/test-prep/gmat/problem-solving/v/gmat-math-40/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/oug9h9-komI.mp4/oug9h9-komI.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/oug9h9-komI.mp4/oug9h9-komI.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oug9h9-komI.m3u8/oug9h9-komI.m3u8" + }, + "slug": "gmat-math-40", + "readable_id": "gmat-math-40" + }, "ribera--the-martyrdom-of-saint-philip--1639": { "kind": "Video", "description": "Jusepe (Jos\u00e9) de Ribera, The Martyrdom of Saint Philip, 1639, oil on canvas,\n92 x 92 in. (234 x 234 cm), (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe English Romantic poet, Lord Byron , wrote that the artist, \"Spagnoletto [the little Spaniard]\ntainted/His brush with all the blood of all the sainted\" (Don Juan , xiii. 71).", @@ -3537,7 +9561,7 @@ "duration": 258, "youtube_id": "QrHsibKBVwI", "keywords": "", - "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/v/simple-elimination-practice/", + "path": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc/v/simple-elimination-practice/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.mp4/QrHsibKBVwI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QrHsibKBVwI.mp4/QrHsibKBVwI.png", @@ -3569,7 +9593,7 @@ "duration": 737, "youtube_id": "sRVGcYGjUk8", "keywords": "variance, statistics, population, CC_6_SP_3, CC_6_SP_4, CC_6_SP_5_c", - "path": "/math/statistics/v/statistics--alternate-variance-formulas/", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/v/statistics--alternate-variance-formulas/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/sRVGcYGjUk8.mp4/sRVGcYGjUk8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sRVGcYGjUk8.mp4/sRVGcYGjUk8.png", @@ -3578,6 +9602,22 @@ "slug": "statistics--alternate-variance-formulas", "readable_id": "statistics--alternate-variance-formulas" }, + "hydroboration-oxidation": { + "kind": "Video", + "description": "", + "title": "hydroboration-oxidation", + "duration": 786, + "youtube_id": "ak--LSQe7pk", + "keywords": "", + "path": "/science/organic-chemistry/alkenes-alkynes/alkene-reactions-tutorial/v/hydroboration-oxidation/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ak--LSQe7pk.mp4/ak--LSQe7pk.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/ak--LSQe7pk.mp4/ak--LSQe7pk.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ak--LSQe7pk.m3u8/ak--LSQe7pk.m3u8" + }, + "slug": "hydroboration-oxidation", + "readable_id": "hydroboration-oxidation" + }, "lebron-asks-about-newton-s-3rd-law": { "kind": "Video", "description": "How does a basketball apply a force to the shooter's hand?", @@ -3601,7 +9641,7 @@ "duration": 982, "youtube_id": "1jDDfkKKgmc", "keywords": "trigonometry, geometry, euler's, formula, identity, radian, sin, cos, sine, angle", - "path": "/math/trigonometry/v/tau-versus-pi/", + "path": "/math/trigonometry/basic-trigonometry/long_live_tau/v/tau-versus-pi/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1jDDfkKKgmc.mp4/1jDDfkKKgmc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1jDDfkKKgmc.mp4/1jDDfkKKgmc.png", @@ -3617,7 +9657,7 @@ "duration": 174, "youtube_id": "bLQBbA8yh7c", "keywords": "hedge, fund, private, equity, venture, capital, finance", - "path": "/finance-economics/core-finance/v/hedge-funds--venture-capital--and-private-equity/", + "path": "/science/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-funds--venture-capital--and-private-equity/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/bLQBbA8yh7c.mp4/bLQBbA8yh7c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bLQBbA8yh7c.mp4/bLQBbA8yh7c.png", @@ -3649,7 +9689,7 @@ "duration": 793, "youtube_id": "iI_2Piwn_og", "keywords": "Absolute, Value, Inequalities", - "path": "/math/algebra/ck12-algebra-1/v/absolute-value-inequalities/", + "path": "/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/absolute-value-inequalities/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/iI_2Piwn_og.mp4/iI_2Piwn_og.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iI_2Piwn_og.mp4/iI_2Piwn_og.png", @@ -3658,6 +9698,22 @@ "slug": "absolute-value-inequalities", "readable_id": "absolute-value-inequalities" }, + "evaluating-expressions-where-individual-variable-values-are-unknown": { + "kind": "Video", + "description": "Working through a few examples where we need to evaluate an expression, but we don't know the individual variable values", + "title": "Evaluating expressions where individual variable values are unknown", + "duration": 279, + "youtube_id": "TIwGXn4NalM", + "keywords": "", + "path": "/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars/v/evaluating-expressions-where-individual-variable-values-are-unknown/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TIwGXn4NalM.mp4/TIwGXn4NalM.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/TIwGXn4NalM.mp4/TIwGXn4NalM.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TIwGXn4NalM.m3u8/TIwGXn4NalM.m3u8" + }, + "slug": "evaluating-expressions-where-individual-variable-values-are-unknown", + "readable_id": "evaluating-expressions-where-individual-variable-values-are-unknown" + }, "calculating-average-velocity-or-speed": { "kind": "Video", "description": "Example of calculating speed and velocity", @@ -3665,7 +9721,7 @@ "duration": 705, "youtube_id": "oRKxmXwLvUU", "keywords": "Calculating, Average, Velocity, or, Speed", - "path": "/science/physics/mechanics/v/calculating-average-velocity-or-speed/", + "path": "/science/physics/one-dimensional-motion/displacement-velocity-time/v/calculating-average-velocity-or-speed/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/oRKxmXwLvUU.mp4/oRKxmXwLvUU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oRKxmXwLvUU.mp4/oRKxmXwLvUU.png", @@ -3693,11 +9749,11 @@ "more-laplace-transform-tools": { "kind": "Video", "description": "A grab bag of things to know about the Laplace Transform.", - "title": "More Laplace Transform tools", + "title": "\"Shifting\" transform by multiplying function by exponential", "duration": 677, "youtube_id": "_X_QwpXsdOs", "keywords": "laplace, transform, differential, equations", - "path": "/math/differential-equations/v/more-laplace-transform-tools/", + "path": "/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/more-laplace-transform-tools/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_X_QwpXsdOs.mp4/_X_QwpXsdOs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_X_QwpXsdOs.mp4/_X_QwpXsdOs.png", @@ -3729,7 +9785,7 @@ "duration": 1266, "youtube_id": "2N62v_63SBo", "keywords": "Asymptotes, of, Rational, Functions, CC_39336_F-IF_7_d", - "path": "/math/algebra/ck12-algebra-1/v/asymptotes-of-rational-functions/", + "path": "/math/trigonometry/polynomial_and_rational/asymptotes-graphing-rational/v/asymptotes-of-rational-functions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/2N62v_63SBo.mp4/2N62v_63SBo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2N62v_63SBo.mp4/2N62v_63SBo.png", @@ -3740,12 +9796,12 @@ }, "decimals-and-fractions": { "kind": "Video", - "description": "U03_L1_T1_we3 Decimals and Fractions", + "description": "Decimals and Fractions", "title": "Decimals and Fractions", "duration": 162, "youtube_id": "NzIoHQfStoM", "keywords": "U03_L1_T1_we3, Decimals, and, Fractions, CC_4_NF_6", - "path": "/math/arithmetic/decimals/v/decimals-and-fractions/", + "path": "/math/arithmetic/fractions/decimals_fractions/v/decimals-and-fractions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NzIoHQfStoM.mp4/NzIoHQfStoM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NzIoHQfStoM.mp4/NzIoHQfStoM.png", @@ -3761,7 +9817,7 @@ "duration": 262, "youtube_id": "CzDA0WCdWHQ", "keywords": "hedge, funds, capital, markets, finance", - "path": "/finance-economics/core-finance/v/simple-merger-arb-with-share-acquisition/", + "path": "/science/core-finance/stock-and-bonds/mergers-acquisitions/v/simple-merger-arb-with-share-acquisition/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/CzDA0WCdWHQ.mp4/CzDA0WCdWHQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CzDA0WCdWHQ.mp4/CzDA0WCdWHQ.png", @@ -3772,12 +9828,12 @@ }, "calculator-for-natural-logarithms": { "kind": "Video", - "description": "u18_l3_t1_we6 Calculator for Natural Logarithms", + "description": "Calculator for Natural Logarithms", "title": "Calculator for Natural Logarithms", "duration": 69, "youtube_id": "r0eFSS8CN-Q", "keywords": "u18_l3_t1_we6, Calculator, for, Natural, Logarithms", - "path": "/math/algebra/logarithms-tutorial/v/calculator-for-natural-logarithms/", + "path": "/math/algebra/logarithms-tutorial/natural_logarithm/v/calculator-for-natural-logarithms/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/r0eFSS8CN-Q.mp4/r0eFSS8CN-Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r0eFSS8CN-Q.mp4/r0eFSS8CN-Q.png", @@ -3793,7 +9849,7 @@ "duration": 1128, "youtube_id": "_60sKaoRmhU", "keywords": "line, integral, calculus", - "path": "/math/calculus/multivariable-calculus/v/introduction-to-the-line-integral/", + "path": "/math/calculus/line_integrals_topic/line_integrals/v/introduction-to-the-line-integral/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_60sKaoRmhU.mp4/_60sKaoRmhU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_60sKaoRmhU.mp4/_60sKaoRmhU.png", @@ -3804,12 +9860,12 @@ }, "solving-systems-by-elimination": { "kind": "Video", - "description": "U06_L1_T3_we1 Solving systems by elimination", + "description": "Solving systems by elimination", "title": "Example 1: Solving systems by elimination", "duration": 351, "youtube_id": "z1hz8-Kri1E", "keywords": "U06_L1_T3_we1, Solving, systems, by, elimination, CC_8_EE_8_b, CC_8_EE_8_c, CC_39336_A-REI_6", - "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/v/solving-systems-by-elimination/", + "path": "/math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination/v/solving-systems-by-elimination/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/z1hz8-Kri1E.mp4/z1hz8-Kri1E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z1hz8-Kri1E.mp4/z1hz8-Kri1E.png", @@ -3818,6 +9874,22 @@ "slug": "solving-systems-by-elimination", "readable_id": "solving-systems-by-elimination" }, + "hydroboration-oxidation-of-alkynes": { + "kind": "Video", + "description": "", + "title": "hydroboration-oxidation of alkynes", + "duration": 515, + "youtube_id": "3KrqQXsWP1M", + "keywords": "", + "path": "/science/organic-chemistry/alkenes-alkynes/alkyne-reactions/v/hydroboration-oxidation-of-alkynes/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3KrqQXsWP1M.mp4/3KrqQXsWP1M.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/3KrqQXsWP1M.mp4/3KrqQXsWP1M.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3KrqQXsWP1M.m3u8/3KrqQXsWP1M.m3u8" + }, + "slug": "hydroboration-oxidation-of-alkynes", + "readable_id": "hydroboration-oxidation-of-alkynes" + }, "random-variables": { "kind": "Video", "description": "Basic idea and definitions of random variables", @@ -3825,7 +9897,7 @@ "duration": 332, "youtube_id": "3v9w79NhsfI", "keywords": "", - "path": "/math/probability/v/random-variables/", + "path": "/math/probability/random-variables-topic/random_variables_prob_dist/v/random-variables/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3v9w79NhsfI.mp4/3v9w79NhsfI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3v9w79NhsfI.mp4/3v9w79NhsfI.png", @@ -3841,7 +9913,7 @@ "duration": 420, "youtube_id": "-nlMXVrgtjw", "keywords": "algebra, synthetic, division", - "path": "/math/algebra/polynomials/v/why-synthetic-division-works/", + "path": "/math/trigonometry/polynomial_and_rational/polynomial_tutorial/v/why-synthetic-division-works/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-nlMXVrgtjw.mp4/-nlMXVrgtjw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-nlMXVrgtjw.mp4/-nlMXVrgtjw.png", @@ -3850,21 +9922,53 @@ "slug": "why-synthetic-division-works", "readable_id": "why-synthetic-division-works" }, - "intro-to-the-endocrine-system": { + "bit-zee-planning-and-propulsion": { "kind": "Video", - 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Bit-zee planning and propulsion", + "duration": 503, + "youtube_id": "Kq0Er6JBMmc", + "keywords": "Planning, brainstorming, voltage, motor, propulsion techniques, key components, robotics", + "path": "/science/projects/Bit-zee/v/bit-zee-planning-and-propulsion/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/f_Z1zsR9lFM.mp4/f_Z1zsR9lFM.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/f_Z1zsR9lFM.mp4/f_Z1zsR9lFM.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f_Z1zsR9lFM.m3u8/f_Z1zsR9lFM.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kq0Er6JBMmc.mp4/Kq0Er6JBMmc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Kq0Er6JBMmc.mp4/Kq0Er6JBMmc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kq0Er6JBMmc.m3u8/Kq0Er6JBMmc.m3u8" }, - "slug": "intro-to-the-endocrine-system", - "readable_id": "intro-to-the-endocrine-system" + "slug": "bit-zee-planning-and-propulsion", + "readable_id": "bit-zee-planning-and-propulsion" + }, + "work-done-by-isothermic-process": { + "kind": "Video", + "description": "Isothermic and Adiabatic processes. Calculating the work done by an isothermic process. Seeing that it is the same as the heat added.", + "title": "Work Done by Isothermic Process", + "duration": 1143, + "youtube_id": "iiFWoXQPOJc", + "keywords": "thermodynamics, heat, work, internal, energy", + "path": "/science/physics/thermodynamics/v/work-done-by-isothermic-process/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/iiFWoXQPOJc.mp4/iiFWoXQPOJc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/iiFWoXQPOJc.mp4/iiFWoXQPOJc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iiFWoXQPOJc.m3u8/iiFWoXQPOJc.m3u8" + }, + "slug": "work-done-by-isothermic-process", + "readable_id": "work-done-by-isothermic-process" + }, + "lewis-acid-and-base": { + "kind": "Video", + "description": "", + "title": "lewis acid and base", + "duration": 390, + "youtube_id": "f9kgA1DDE6U", + "keywords": "", + "path": "/science/organic-chemistry/gen-chem-review/acid-base-review/v/lewis-acid-and-base/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/f9kgA1DDE6U.mp4/f9kgA1DDE6U.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/f9kgA1DDE6U.mp4/f9kgA1DDE6U.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/f9kgA1DDE6U.m3u8/f9kgA1DDE6U.m3u8" + }, + "slug": "lewis-acid-and-base", + "readable_id": "lewis-acid-and-base" }, "introduction-to-parametrizing-a-surface-with-two-parameters": { "kind": "Video", @@ -3873,7 +9977,7 @@ "duration": 1142, "youtube_id": "owKAHXf1y1A", "keywords": "Introduction, to, Parametrizing, Surface, with, Two, Parameters", - "path": "/math/calculus/multivariable-calculus/v/introduction-to-parametrizing-a-surface-with-two-parameters/", + "path": "/math/calculus/multivariable-calculus/surface_parametrization/v/introduction-to-parametrizing-a-surface-with-two-parameters/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/owKAHXf1y1A.mp4/owKAHXf1y1A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/owKAHXf1y1A.mp4/owKAHXf1y1A.png", @@ -3882,6 +9986,22 @@ "slug": "introduction-to-parametrizing-a-surface-with-two-parameters", "readable_id": "introduction-to-parametrizing-a-surface-with-two-parameters" }, + "interest-rate-swap-1": { + "kind": "Video", + "description": "The basic dynamic of an interest rate swap", + "title": "Interest Rate Swap 1", + "duration": 231, + "youtube_id": "PLjyj1FJqig", + "keywords": "LIBOR, fixed, variable, rate, interest", + "path": "/science/core-finance/derivative-securities/interest-rate-swaps-tut/v/interest-rate-swap-1/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PLjyj1FJqig.mp4/PLjyj1FJqig.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/PLjyj1FJqig.mp4/PLjyj1FJqig.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PLjyj1FJqig.m3u8/PLjyj1FJqig.m3u8" + }, + "slug": "interest-rate-swap-1", + "readable_id": "interest-rate-swap-1" + }, "a-firm-s-marginal-product-revenue-curve": { "kind": "Video", "description": "Thinking about how much incremental benefit a firm gets from hiring one more person", @@ -3889,7 +10009,7 @@ "duration": 783, "youtube_id": "cwClnv9Y1Y0", "keywords": "microecnomic, MPR, MPL, TP", - "path": "/finance-economics/microeconomics/v/a-firm-s-marginal-product-revenue-curve/", + "path": "/science/microeconomics/firm-economic-profit/labor-marginal-product-rev/v/a-firm-s-marginal-product-revenue-curve/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/cwClnv9Y1Y0.mp4/cwClnv9Y1Y0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cwClnv9Y1Y0.mp4/cwClnv9Y1Y0.png", @@ -3905,7 +10025,7 @@ "duration": 574, "youtube_id": "xPb6HLM3xEQ", "keywords": "calculus, BC, exam", - "path": "/math/calculus/integral-calculus/v/ap-calculus-bc-exams--2008-1-b-c/", + "path": "/math/calculus/ap_calc_topic/bc_sample_questions/v/ap-calculus-bc-exams--2008-1-b-c/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xPb6HLM3xEQ.mp4/xPb6HLM3xEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xPb6HLM3xEQ.mp4/xPb6HLM3xEQ.png", @@ -3946,6 +10066,22 @@ "slug": "charles-garnier--the-paris-op-ra--1860-75", "readable_id": "charles-garnier--the-paris-op-ra--1860-75" }, + "orienting-boundary-with-surface": { + "kind": "Video", + "description": "Determining the proper orientation of the boundary given the orientation of the surface", + "title": "Orienting Boundary with Surface", + "duration": 209, + "youtube_id": "84NkvxfMPtM", + "keywords": "stokes, theorem, orientation", + "path": "/math/calculus/multivariable-calculus/stokes_theorem/v/orienting-boundary-with-surface/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/84NkvxfMPtM.mp4/84NkvxfMPtM.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/84NkvxfMPtM.mp4/84NkvxfMPtM.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/84NkvxfMPtM.m3u8/84NkvxfMPtM.m3u8" + }, + "slug": "orienting-boundary-with-surface", + "readable_id": "orienting-boundary-with-surface" + }, "raphael--italian---la-belle-jardini-re--also--madonna-and-child-with-saint-john-the-baptist---1507": { "kind": "Video", "description": "Raphael (Italian), La belle jardini\u00e8re (also, Madonna and Child with Saint John the Baptist), 1507, oil on panel, 48 \u00d7 31\u00bd in (122 \u00d7 80 cm, Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", @@ -3969,7 +10105,7 @@ "duration": 395, "youtube_id": "MRAIgJmRmag", "keywords": "u14_l1_t1_we1, Graphings, Systems, of, Equations, CC_39336_A-REI_6, CC_39336_F-IF_7_a", - "path": "/math/algebra/systems-of-eq-and-ineq/extra-systems/v/graphings-systems-of-equations/", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-through-examples/v/graphings-systems-of-equations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MRAIgJmRmag.mp4/MRAIgJmRmag.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MRAIgJmRmag.mp4/MRAIgJmRmag.png", @@ -3985,7 +10121,7 @@ "duration": 617, "youtube_id": "_NznT4Cn8As", "keywords": "microeconomics", - "path": "/finance-economics/microeconomics/v/perfect-competition/", + "path": "/science/microeconomics/perfect-competition-topic/perfect-competition/v/perfect-competition/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_NznT4Cn8As.mp4/_NznT4Cn8As.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_NznT4Cn8As.mp4/_NznT4Cn8As.png", @@ -4001,7 +10137,7 @@ "duration": 599, "youtube_id": "W581OBM9rAY", "keywords": "probability, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b, CC_7_SP_8_c", - "path": "/math/probability/v/probability--part-4/", + "path": "/math/probability/independent-dependent-probability/old_prob_videos/v/probability--part-4/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/W581OBM9rAY.mp4/W581OBM9rAY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W581OBM9rAY.mp4/W581OBM9rAY.png", @@ -4017,7 +10153,7 @@ "duration": 607, "youtube_id": "2XToWi9j0Tk", "keywords": "probability, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b, CC_7_SP_8_c", - "path": "/math/probability/v/probability--part-5/", + "path": "/math/probability/independent-dependent-probability/old_prob_videos/v/probability--part-5/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/2XToWi9j0Tk.mp4/2XToWi9j0Tk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2XToWi9j0Tk.mp4/2XToWi9j0Tk.png", @@ -4033,7 +10169,7 @@ "duration": 556, "youtube_id": "xf3vfczoCho", "keywords": "conditional, probability, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", - "path": "/math/probability/v/probability--part-6/", + "path": "/math/probability/independent-dependent-probability/old_prob_videos/v/probability--part-6/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xf3vfczoCho.mp4/xf3vfczoCho.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xf3vfczoCho.mp4/xf3vfczoCho.png", @@ -4042,21 +10178,21 @@ "slug": "probability--part-6", "readable_id": "probability--part-6" }, - "ca-geometry--pythagorean-theorem--area": { + "probability--part-7": { "kind": "Video", - "description": "36-40, Pythagorean Theorem and Area", - "title": "CA Geometry: Pythagorean Theorem, Area", - "duration": 644, - "youtube_id": "vaOXkt7uuac", - "keywords": "geometry, pythagorean, theorem, area", - "path": "/test-prep/california-standards-test/geometry-2/v/ca-geometry--pythagorean-theorem--area/", + "description": "More on conditional probability. Touch on Bayes' Theorem.", + "title": "Probability (part 7)", + "duration": 605, + "youtube_id": "BLcgeLALLnc", + "keywords": "conditional, probability, bayes, theorem, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", + "path": "/math/probability/independent-dependent-probability/old_prob_videos/v/probability--part-7/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/vaOXkt7uuac.mp4/vaOXkt7uuac.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/vaOXkt7uuac.mp4/vaOXkt7uuac.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vaOXkt7uuac.m3u8/vaOXkt7uuac.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BLcgeLALLnc.mp4/BLcgeLALLnc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/BLcgeLALLnc.mp4/BLcgeLALLnc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BLcgeLALLnc.m3u8/BLcgeLALLnc.m3u8" }, - "slug": "ca-geometry--pythagorean-theorem--area", - "readable_id": "ca-geometry--pythagorean-theorem--area" + "slug": "probability--part-7", + "readable_id": "probability--part-7" }, "dna": { "kind": "Video", @@ -4081,7 +10217,7 @@ "duration": 630, "youtube_id": "3ER8OkqBdpE", "keywords": "probability", - "path": "/math/probability/v/probability--part-1/", + "path": "/math/probability/independent-dependent-probability/old_prob_videos/v/probability--part-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3ER8OkqBdpE.mp4/3ER8OkqBdpE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3ER8OkqBdpE.mp4/3ER8OkqBdpE.png", @@ -4097,7 +10233,7 @@ "duration": 594, "youtube_id": "6E_NVnboMB8", "keywords": "probability, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", - "path": "/math/probability/v/probability--part-2/", + "path": "/math/probability/independent-dependent-probability/old_prob_videos/v/probability--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6E_NVnboMB8.mp4/6E_NVnboMB8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6E_NVnboMB8.mp4/6E_NVnboMB8.png", @@ -4113,7 +10249,7 @@ "duration": 606, "youtube_id": "wBDOCvHYckE", "keywords": "probability, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_a, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", - "path": "/math/probability/v/probability--part-3/", + "path": "/math/probability/independent-dependent-probability/old_prob_videos/v/probability--part-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wBDOCvHYckE.mp4/wBDOCvHYckE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wBDOCvHYckE.mp4/wBDOCvHYckE.png", @@ -4145,7 +10281,7 @@ "duration": 584, "youtube_id": "ojcp0GJKluM", "keywords": "caclulus, derivative, graph, CC_39336_F-IF_7", - "path": "/math/calculus/differential-calculus/v/graphing-with-calculus/", + "path": "/math/calculus/derivative_applications/critical_points_graphing/v/graphing-with-calculus/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ojcp0GJKluM.mp4/ojcp0GJKluM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ojcp0GJKluM.mp4/ojcp0GJKluM.png", @@ -4154,21 +10290,21 @@ "slug": "graphing-with-calculus", "readable_id": "graphing-with-calculus" }, - "rhapsody-on-the-proof-of-pi---4": { + "difference-of-sample-means-distribution": { "kind": "Video", - "description": "Correction: when I mark where pi is on the graph, I meant pi/2!\nNote: If this video were supposed to be teaching you, I'd probably have to make it boring and say that in one sense of limits, spoiler alert, you actually do approach a circle and a line, solving the apparent paradox by saying that the invariant of length does not hold over infinity. Luckily I am an artist, and this is a Rhapsody, and instead of \"learning,\" you get to actually think, if you like.", - "title": "Rhapsody on the Proof of Pi = 4", - "duration": 356, - "youtube_id": "D2xYjiL8yyE", - "keywords": "mathematics, graphs, infinity, fractals, polygons, doodling, vi hart", - "path": "/math/vi-hart/v/rhapsody-on-the-proof-of-pi---4/", + "description": "Difference of Sample Means Distribution", + "title": "Difference of Sample Means Distribution", + "duration": 738, + "youtube_id": "TcIDXqmt74A", + "keywords": "Difference, of, Sample, Means, Distribution", + "path": "/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/difference-of-sample-means-distribution/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/D2xYjiL8yyE.mp4/D2xYjiL8yyE.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/D2xYjiL8yyE.mp4/D2xYjiL8yyE.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D2xYjiL8yyE.m3u8/D2xYjiL8yyE.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TcIDXqmt74A.mp4/TcIDXqmt74A.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/TcIDXqmt74A.mp4/TcIDXqmt74A.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TcIDXqmt74A.m3u8/TcIDXqmt74A.m3u8" }, - "slug": "rhapsody-on-the-proof-of-pi---4", - "readable_id": "rhapsody-on-the-proof-of-pi---4" + "slug": "difference-of-sample-means-distribution", + "readable_id": "difference-of-sample-means-distribution" }, "probability--part-8": { "kind": "Video", @@ -4177,7 +10313,7 @@ "duration": 323, "youtube_id": "VVr8snbaxZg", "keywords": "conditional, probability, bayes, CC_7_SP_8_a", - "path": "/math/probability/v/probability--part-8/", + "path": "/math/probability/independent-dependent-probability/old_prob_videos/v/probability--part-8/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VVr8snbaxZg.mp4/VVr8snbaxZg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VVr8snbaxZg.mp4/VVr8snbaxZg.png", @@ -4193,7 +10329,7 @@ "duration": 490, "youtube_id": "ckBKDrKVIMU", "keywords": "microeconomics, economic, profit, depreciation", - "path": "/finance-economics/microeconomics/v/depreciation-and-opportunity-cost-of-capital/", + "path": "/science/microeconomics/firm-economic-profit/economic-profit-tutorial/v/depreciation-and-opportunity-cost-of-capital/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ckBKDrKVIMU.mp4/ckBKDrKVIMU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ckBKDrKVIMU.mp4/ckBKDrKVIMU.png", @@ -4225,7 +10361,7 @@ "duration": 452, "youtube_id": "N9VIsauE0RA", "keywords": "macroeconomics", - "path": "/finance-economics/macroeconomics/v/investment-and-consumption/", + "path": "/science/macroeconomics/gdp-topic/GDP-components-tutorial/v/investment-and-consumption/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/N9VIsauE0RA.mp4/N9VIsauE0RA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N9VIsauE0RA.mp4/N9VIsauE0RA.png", @@ -4241,7 +10377,7 @@ "duration": 498, "youtube_id": "jEeJkkMXt6c", "keywords": "Scale, of, Distance, to, Closest, Stars, Astronomy, Cosmology", - "path": "/science/cosmology-and-astronomy/v/scale-of-distance-to-closest-stars/", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-distance-to-closest-stars/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jEeJkkMXt6c.mp4/jEeJkkMXt6c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jEeJkkMXt6c.mp4/jEeJkkMXt6c.png", @@ -4257,7 +10393,7 @@ "duration": 131, "youtube_id": "qbMe4f2yvKs", "keywords": "Converting, decimals, to, fractions, 2, ex", - "path": "/math/arithmetic/decimals/v/converting-decimals-to-fractions-2--ex-2/", + "path": "/math/arithmetic/decimals/decimal_to_fraction/v/converting-decimals-to-fractions-2--ex-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qbMe4f2yvKs.mp4/qbMe4f2yvKs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qbMe4f2yvKs.mp4/qbMe4f2yvKs.png", @@ -4273,7 +10409,7 @@ "duration": 596, "youtube_id": "b_cAxh44aNQ", "keywords": "economics, yield, curve, treasury, bills, notes, bonds, interest", - "path": "/finance-economics/core-finance/v/introduction-to-the-yield-curve/", + "path": "/science/core-finance/stock-and-bonds/bonds-tutorial/v/introduction-to-the-yield-curve/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/b_cAxh44aNQ.mp4/b_cAxh44aNQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b_cAxh44aNQ.mp4/b_cAxh44aNQ.png", @@ -4321,7 +10457,7 @@ "duration": 364, "youtube_id": "Y0eWnOZpSpQ", "keywords": "Geological, features, of, Convergent, Plate, Boundaries", - "path": "/science/cosmology-and-astronomy/v/plate-tectonics---geological-features-of-convergent-plate-boundaries/", + "path": "/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plate-tectonics---geological-features-of-convergent-plate-boundaries/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y0eWnOZpSpQ.mp4/Y0eWnOZpSpQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y0eWnOZpSpQ.mp4/Y0eWnOZpSpQ.png", @@ -4369,7 +10505,7 @@ "duration": 416, "youtube_id": "-qgdMTbTJlA", "keywords": "compound, interest", - "path": "/finance-economics/core-finance/v/introduction-to-compound-interest/", + "path": "/science/core-finance/interest-tutorial/compound-interest-tutorial/v/introduction-to-compound-interest/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-qgdMTbTJlA.mp4/-qgdMTbTJlA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-qgdMTbTJlA.mp4/-qgdMTbTJlA.png", @@ -4417,7 +10553,7 @@ "duration": 573, "youtube_id": "AAWsuFXojgo", "keywords": "economics, elasticity", - "path": "/finance-economics/microeconomics/v/elasticity-of-supply/", + "path": "/science/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/elasticity-of-supply/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AAWsuFXojgo.mp4/AAWsuFXojgo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AAWsuFXojgo.mp4/AAWsuFXojgo.png", @@ -4433,7 +10569,7 @@ "duration": 848, "youtube_id": "11dNghWC4HI", "keywords": "eigenvalue, eigenvector", - "path": "/math/linear-algebra/v/linear-algebra--eigenvalues-of-a-3x3-matrix/", + "path": "/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra--eigenvalues-of-a-3x3-matrix/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/11dNghWC4HI.mp4/11dNghWC4HI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/11dNghWC4HI.mp4/11dNghWC4HI.png", @@ -4449,7 +10585,7 @@ "duration": 337, "youtube_id": "WWe7pZjc4s8", "keywords": "taylor, maclauren, approximation, polynomial", - "path": "/math/calculus/integral-calculus/v/cosine-taylor-series-at-0--maclaurin/", + "path": "/math/calculus/sequences_series_approx_calc/maclaurin_taylor/v/cosine-taylor-series-at-0--maclaurin/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/WWe7pZjc4s8.mp4/WWe7pZjc4s8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WWe7pZjc4s8.mp4/WWe7pZjc4s8.png", @@ -4465,7 +10601,7 @@ "duration": 835, "youtube_id": "Z9Jh-Q59xso", "keywords": "Nucleophilicity, Nucleophile, Strength, organic, chemistry", - "path": "/science/organic-chemistry/v/nucleophilicity--nucleophile-strength/", + "path": "/science/organic-chemistry/substitution-elimination-reactions/nucleophilicity-basicity-sal/v/nucleophilicity--nucleophile-strength/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z9Jh-Q59xso.mp4/Z9Jh-Q59xso.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z9Jh-Q59xso.mp4/Z9Jh-Q59xso.png", @@ -4497,7 +10633,7 @@ "duration": 1513, "youtube_id": "_uTAdf_AsfQ", "keywords": "null, space, column, matrix, basis", - "path": "/math/linear-algebra/v/null-space-and-column-space-basis/", + "path": "/math/linear-algebra/vectors_and_spaces/null_column_space/v/null-space-and-column-space-basis/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_uTAdf_AsfQ.mp4/_uTAdf_AsfQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_uTAdf_AsfQ.mp4/_uTAdf_AsfQ.png", @@ -4529,7 +10665,7 @@ "duration": 359, "youtube_id": "72p6uw5y-Rw", "keywords": "macroeconomics", - "path": "/finance-economics/macroeconomics/v/investment-and-real-interest-rates/", + "path": "/science/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/investment-and-real-interest-rates/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/72p6uw5y-Rw.mp4/72p6uw5y-Rw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/72p6uw5y-Rw.mp4/72p6uw5y-Rw.png", @@ -4577,7 +10713,7 @@ "duration": 494, "youtube_id": "EVSkf7l7EuI", "keywords": "macroeconomics, keynes", - "path": "/finance-economics/macroeconomics/v/risks-of-keynesian-thinking/", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking/v/risks-of-keynesian-thinking/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/EVSkf7l7EuI.mp4/EVSkf7l7EuI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EVSkf7l7EuI.mp4/EVSkf7l7EuI.png", @@ -4593,7 +10729,7 @@ "duration": 582, "youtube_id": "Zyq6TmQVBxk", "keywords": "derivative, rate, of, change, chain, rule, calculus, khan, CC_8_G_9", - "path": "/math/calculus/differential-calculus/v/introduction-to-rate-of-change-problems/", + "path": "/math/calculus/derivative_applications/rates_of_change/v/introduction-to-rate-of-change-problems/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zyq6TmQVBxk.mp4/Zyq6TmQVBxk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Zyq6TmQVBxk.mp4/Zyq6TmQVBxk.png", @@ -4604,12 +10740,12 @@ }, "extraneous-solutions-to-rational-equations": { "kind": "Video", - "description": "u15_l2_t1_we2 Extraneous Solutions to Rational Equations", + "description": "Extraneous Solutions to Rational Equations", "title": "Extraneous Solutions to Rational Equations", "duration": 183, "youtube_id": "bml74_PsfwA", "keywords": "u15_l2_t1_we2, Extraneous, Solutions, to, Rational, Equations, CC_6_EE_6, CC_7_EE_4_a", - "path": "/math/algebra/rational-expressions/v/extraneous-solutions-to-rational-equations/", + "path": "/math/trigonometry/polynomial_and_rational/rational_funcs_tutorial/v/extraneous-solutions-to-rational-equations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/bml74_PsfwA.mp4/bml74_PsfwA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bml74_PsfwA.mp4/bml74_PsfwA.png", @@ -4657,7 +10793,7 @@ "duration": 784, "youtube_id": "FwuPXchH2rA", "keywords": "Argand, Diagram, magnitude, modulus, argument, exponential, form, complex", - "path": "/math/precalculus/v/basic-complex-analysis/", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_analysis/v/basic-complex-analysis/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/FwuPXchH2rA.mp4/FwuPXchH2rA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FwuPXchH2rA.mp4/FwuPXchH2rA.png", @@ -4673,7 +10809,7 @@ "duration": 553, "youtube_id": "QV0jsTiobU4", "keywords": "linear, algebra, determinant", - "path": "/math/linear-algebra/v/linear-algebra--simpler-4x4-determinant/", + "path": "/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra--simpler-4x4-determinant/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QV0jsTiobU4.mp4/QV0jsTiobU4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QV0jsTiobU4.mp4/QV0jsTiobU4.png", @@ -4714,6 +10850,22 @@ "slug": "prime-number-adventure", "readable_id": "prime-number-adventure" }, + "hyperinflation": { + "kind": "Video", + "description": "Basic of hyperinflation. Weimar Germany, Hungarian Pengo and Zibabwean Dollar", + "title": "Hyperinflation", + "duration": 242, + "youtube_id": "AC_kjcuHpZw", + "keywords": "Zimbabwe, spiral, finance", + "path": "/science/macroeconomics/inflation-topic/deflation-inflation-scenarios-tutorial/v/hyperinflation/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AC_kjcuHpZw.mp4/AC_kjcuHpZw.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/AC_kjcuHpZw.mp4/AC_kjcuHpZw.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AC_kjcuHpZw.m3u8/AC_kjcuHpZw.m3u8" + }, + "slug": "hyperinflation", + "readable_id": "hyperinflation" + }, "inflammatory-response": { "kind": "Video", "description": "Overview of the inflammatory response", @@ -4737,7 +10889,7 @@ "duration": 1049, "youtube_id": "pa92UdJCaos", "keywords": "enterprise, value, EV, ebitda, operating, income, valuation", - "path": "/finance-economics/valuation-and-investing/v/enterprise-value/", + "path": "/science/core-finance/stock-and-bonds/valuation-and-investing/v/enterprise-value/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/pa92UdJCaos.mp4/pa92UdJCaos.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pa92UdJCaos.mp4/pa92UdJCaos.png", @@ -4769,7 +10921,7 @@ "duration": 595, "youtube_id": "aTjNDKlz8G4", "keywords": "Math, units, speed, CC_6_RP_3_d", - "path": "/math/arithmetic/basic-ratios-proportions/v/speed-translation/", + "path": "/math/arithmetic/rates-and-ratios/unit_conversion/v/speed-translation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/aTjNDKlz8G4.mp4/aTjNDKlz8G4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aTjNDKlz8G4.mp4/aTjNDKlz8G4.png", @@ -4778,22 +10930,6 @@ "slug": "speed-translation", "readable_id": "speed-translation" }, - "raising-money-for-a-startup": { - "kind": "Video", - "description": "Raising money from an angel investor. 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", - "title": "Aldosterone and ADH", - "duration": 587, - "youtube_id": "Z0XPMFL45oo", - "keywords": "", - "path": "/science/healthcare-and-medicine/blood-pressure-control/v/aldosterone-and-adh/", + "description": "Using what we know about takeoff velocity and runway length to determine acceleration", + "title": "Acceleration of Aircraft Carrier Takeoff", + "duration": 856, + "youtube_id": "VYgSXBjEA8I", + "keywords": "physics, nimitz, force, pilot", + "path": "/science/physics/one-dimensional-motion/kinematic_formulas/v/acceleration-of-aircraft-carrier-takeoff/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z0XPMFL45oo.mp4/Z0XPMFL45oo.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/Z0XPMFL45oo.mp4/Z0XPMFL45oo.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z0XPMFL45oo.m3u8/Z0XPMFL45oo.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VYgSXBjEA8I.mp4/VYgSXBjEA8I.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/VYgSXBjEA8I.mp4/VYgSXBjEA8I.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VYgSXBjEA8I.m3u8/VYgSXBjEA8I.m3u8" }, - "slug": "aldosterone-and-adh", - "readable_id": "aldosterone-and-adh" + "slug": "acceleration-of-aircraft-carrier-takeoff", + "readable_id": "acceleration-of-aircraft-carrier-takeoff" }, "floating-exchange-resolving-trade-imbalance": { "kind": "Video", @@ -4881,7 +11017,7 @@ "duration": 246, "youtube_id": "wNYFJsC8TZE", "keywords": "Floating, Exchange, Resolving, Trade, Imbalance", - "path": "/finance-economics/current-economics/v/floating-exchange-resolving-trade-imbalance/", + "path": "/science/core-finance/money-and-banking/china-us-debt-situation/v/floating-exchange-resolving-trade-imbalance/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wNYFJsC8TZE.mp4/wNYFJsC8TZE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wNYFJsC8TZE.mp4/wNYFJsC8TZE.png", @@ -4890,6 +11026,22 @@ "slug": "floating-exchange-resolving-trade-imbalance", "readable_id": "floating-exchange-resolving-trade-imbalance" }, + "cnn--understanding-the-crisis": { + "kind": "Video", + "description": "Video of Sal on CNN on October 10th discussing the credit crisis and a potential solution to it.", + "title": "CNN: Understanding the Crisis", + "duration": 876, + "youtube_id": "_ZAlj2gu0eM", + "keywords": "credit, crisis, bailout, paulson, bernanke, banks, TARP", + "path": "/science/core-finance/money-and-banking/bank-bailout/v/cnn--understanding-the-crisis/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_ZAlj2gu0eM.mp4/_ZAlj2gu0eM.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/_ZAlj2gu0eM.mp4/_ZAlj2gu0eM.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_ZAlj2gu0eM.m3u8/_ZAlj2gu0eM.m3u8" + }, + "slug": "cnn--understanding-the-crisis", + "readable_id": "cnn--understanding-the-crisis" + }, "constructing-a-box-and-whisker-plot": { "kind": "Video", "description": "Constructing a box and whisker plot to analyze data.", @@ -4897,7 +11049,7 @@ "duration": 498, "youtube_id": "09Cx7xuIXig", "keywords": "box, whisker, plot", - "path": "/math/statistics/v/constructing-a-box-and-whisker-plot/", + "path": "/math/probability/descriptive-statistics/Box-and-whisker plots/v/constructing-a-box-and-whisker-plot/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/09Cx7xuIXig.mp4/09Cx7xuIXig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/09Cx7xuIXig.mp4/09Cx7xuIXig.png", @@ -4929,7 +11081,7 @@ "duration": 544, "youtube_id": "D2sMsmL0ScQ", "keywords": "Small, Sample, Hypothesis, Test, t-statistic", - "path": "/math/statistics/v/small-sample-hypothesis-test/", + "path": "/math/probability/statistics-inferential/hypothesis-testing/v/small-sample-hypothesis-test/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/D2sMsmL0ScQ.mp4/D2sMsmL0ScQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D2sMsmL0ScQ.mp4/D2sMsmL0ScQ.png", @@ -4961,7 +11113,7 @@ "duration": 878, "youtube_id": "I6LsWSXx8fg", "keywords": "Double, Newman, Diagram, for, Methcyclohexane", - "path": "/science/organic-chemistry/v/double-newman-diagram-for-methcyclohexane/", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations/v/double-newman-diagram-for-methcyclohexane/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/I6LsWSXx8fg.mp4/I6LsWSXx8fg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I6LsWSXx8fg.mp4/I6LsWSXx8fg.png", @@ -4977,7 +11129,7 @@ "duration": 607, "youtube_id": "kpCJyQ2usJ4", "keywords": "algebra, why, applications, marquee", - "path": "/math/algebra/introduction-to-algebra/v/the-beauty-of-algebra/", + "path": "/math/algebra/introduction-to-algebra/overview_hist_alg/v/the-beauty-of-algebra/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/kpCJyQ2usJ4.mp4/kpCJyQ2usJ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kpCJyQ2usJ4.mp4/kpCJyQ2usJ4.png", @@ -4986,6 +11138,22 @@ "slug": "the-beauty-of-algebra", "readable_id": "the-beauty-of-algebra" }, + "the-golden-ratio": { + "kind": "Video", + "description": "An introduction to one of the most amazing ideas/numbers in mathematics", + "title": "The Golden Ratio", + "duration": 882, + "youtube_id": "5zosU6XTgSY", + "keywords": "golden, mean, ratio, marquee", + "path": "/math/geometry/segments-and-angles/intro_euclid/v/the-golden-ratio/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5zosU6XTgSY.mp4/5zosU6XTgSY.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/5zosU6XTgSY.mp4/5zosU6XTgSY.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5zosU6XTgSY.m3u8/5zosU6XTgSY.m3u8" + }, + "slug": "the-golden-ratio", + "readable_id": "the-golden-ratio" + }, "artemisia-gentileschi--self-portrait-as-the-allegory-of-painting--1638-39": { "kind": "Video", "description": "Artemisia Gentileschi, Self-portrait as the Allegory of Painting, 1638-39 (Royal Collection, Windsor)\n\nSpeakers: John Machado and Denise Johnson of Iconomaniacs", @@ -5073,7 +11241,7 @@ "duration": 480, "youtube_id": "By-ggTfeuJU", "keywords": "force, motion, physics", - "path": "/science/physics/mechanics/v/newton-s-third-law-of-motion/", + "path": "/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/newton-s-third-law-of-motion/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/By-ggTfeuJU.mp4/By-ggTfeuJU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/By-ggTfeuJU.mp4/By-ggTfeuJU.png", @@ -5105,7 +11273,7 @@ "duration": 544, "youtube_id": "Y5cSGxdDHz4", "keywords": "physics, projectile, motion, acceleration, velocity, khan", - "path": "/science/physics/mechanics/v/projectile-motion--part-3/", + "path": "/science/physics/one-dimensional-motion/old-projectile-motion/v/projectile-motion--part-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y5cSGxdDHz4.mp4/Y5cSGxdDHz4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y5cSGxdDHz4.mp4/Y5cSGxdDHz4.png", @@ -5153,7 +11321,7 @@ "duration": 789, "youtube_id": "C2PC9185gIw", "keywords": "eigenbasis, eigenvector", - "path": "/math/linear-algebra/v/linear-algebra---showing-that-an-eigenbasis-makes-for-good-coordinate-systems/", + "path": "/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra---showing-that-an-eigenbasis-makes-for-good-coordinate-systems/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/C2PC9185gIw.mp4/C2PC9185gIw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C2PC9185gIw.mp4/C2PC9185gIw.png", @@ -5169,7 +11337,7 @@ "duration": 547, "youtube_id": "EKvHQc3QEow", "keywords": "math, calculus, marquee", - "path": "/math/calculus/differential-calculus/v/newton-leibniz-and-usain-bolt/", + "path": "/math/calculus/differential-calculus/intro_differential_calc/v/newton-leibniz-and-usain-bolt/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/EKvHQc3QEow.mp4/EKvHQc3QEow.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EKvHQc3QEow.mp4/EKvHQc3QEow.png", @@ -5185,7 +11353,7 @@ "duration": 547, "youtube_id": "qLLjD-g_9ms", "keywords": "algebra, word, problem, rate, velocity, distance, time", - "path": "/math/algebra/systems-of-eq-and-ineq/extra-systems/v/passing-trains/", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-word-problems/v/passing-trains/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qLLjD-g_9ms.mp4/qLLjD-g_9ms.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qLLjD-g_9ms.mp4/qLLjD-g_9ms.png", @@ -5217,7 +11385,7 @@ "duration": 840, "youtube_id": "zM_p7tfWvLU", "keywords": "Exponent, Properties, Involving, Products, CC_8_EE_1, CC_39336_A-SSE_3_c", - "path": "/math/algebra/ck12-algebra-1/v/exponent-properties-involving-products/", + "path": "/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-involving-products/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/zM_p7tfWvLU.mp4/zM_p7tfWvLU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zM_p7tfWvLU.mp4/zM_p7tfWvLU.png", @@ -5274,22 +11442,6 @@ "slug": "gmat--data-sufficiency-12", "readable_id": "gmat--data-sufficiency-12" }, - "predicting-with-linear-models": { - "kind": "Video", - "description": "Predicting with Linear Models", - "title": "Predicting with Linear Models", - "duration": 706, - "youtube_id": "aVDiAGZmcPo", - "keywords": "Predicting, with, Linear, Models", - "path": "/math/algebra/ck12-algebra-1/v/predicting-with-linear-models/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/aVDiAGZmcPo.mp4/aVDiAGZmcPo.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/aVDiAGZmcPo.mp4/aVDiAGZmcPo.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aVDiAGZmcPo.m3u8/aVDiAGZmcPo.m3u8" - }, - "slug": "predicting-with-linear-models", - "readable_id": "predicting-with-linear-models" - }, "distributive-property-example-1": { "kind": "Video", "description": "ck12 Distributive Property example", @@ -5297,7 +11449,7 @@ "duration": 339, "youtube_id": "ewEorPD4kdA", "keywords": "Distributive, Property", - "path": "/math/algebra/ck12-algebra-1/v/distributive-property-example-1/", + "path": "/math/arithmetic/multiplication-division/ditributive_property/v/distributive-property-example-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ewEorPD4kdA.mp4/ewEorPD4kdA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ewEorPD4kdA.mp4/ewEorPD4kdA.png", @@ -5306,21 +11458,21 @@ "slug": "distributive-property-example-1", "readable_id": "distributive-property-example-1" }, - "hess-s-law-and-reaction-enthalpy-change": { + "brunelleschi---ghiberti--sacrifice-of-isaac--competition-panels--1401-2": { "kind": "Video", - 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"description": "U06_L1_T3_we1 Converting Gallons to quarts pints and cups", + "description": "Converting Gallons to quarts pints and cups", "title": "Converting Gallons to quarts pints and cups", "duration": 317, "youtube_id": "4uQtJDf7drU", "keywords": "U06_L1_T3_we1, Converting, Gallons, to, quarts, pints, and, cups, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", - "path": "/math/algebra/rational-expressions/v/converting-gallons-to-quarts-pints-and-cups/", + "path": "/math/arithmetic/rates-and-ratios/unit_conversion/v/converting-gallons-to-quarts-pints-and-cups/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4uQtJDf7drU.mp4/4uQtJDf7drU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4uQtJDf7drU.mp4/4uQtJDf7drU.png", @@ -5377,7 +11529,7 @@ "duration": 574, "youtube_id": "eYBlfxGIk28", "keywords": "finance, mortgage-backed, security, MBS, Khan", - "path": "/finance-economics/credit-crisis/v/mortgage-backed-securities-ii/", + "path": "/science/core-finance/derivative-securities/mort-backed-secs-tut/v/mortgage-backed-securities-ii/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/eYBlfxGIk28.mp4/eYBlfxGIk28.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eYBlfxGIk28.mp4/eYBlfxGIk28.png", @@ -5425,7 +11577,7 @@ "duration": 357, "youtube_id": "itQEwESWDKg", "keywords": "empirical, rule, z-score, CC_6_SP_5_c, CC_7_SP_2", - "path": "/math/statistics/v/ck12-org--more-empirical-rule-and-z-score-practice/", + "path": "/math/probability/statistics-inferential/normal_distribution/v/ck12-org--more-empirical-rule-and-z-score-practice/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/itQEwESWDKg.mp4/itQEwESWDKg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/itQEwESWDKg.mp4/itQEwESWDKg.png", @@ -5489,7 +11641,7 @@ "duration": 460, "youtube_id": "XixMVHl8taQ", "keywords": "30-60-90, triangle, trig", - "path": "/math/trigonometry/v/30-60-90-triangles-and-trig/", + "path": "/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/30-60-90-triangles-and-trig/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XixMVHl8taQ.mp4/XixMVHl8taQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XixMVHl8taQ.mp4/XixMVHl8taQ.png", @@ -5537,7 +11689,7 @@ "duration": 429, "youtube_id": "P7LKEkcNibo", "keywords": "physics, projectile, motion", - "path": "/science/physics/mechanics/v/deriving-max-projectile-displacement-given-time/", + "path": "/science/physics/one-dimensional-motion/kinematic_formulas/v/deriving-max-projectile-displacement-given-time/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/P7LKEkcNibo.mp4/P7LKEkcNibo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P7LKEkcNibo.mp4/P7LKEkcNibo.png", @@ -5562,21 +11714,21 @@ "slug": "cahsee-practice--problems-1-3", "readable_id": "cahsee-practice--problems-1-3" }, - 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Ser Giuliano degli Scarsi, a notary from Pisa commissioned this altarpiece for the chapel of Saint Julian in Santa Maria del Carmine, Pisa\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker\n\nhttp://www.smarthistory.org/masaccio-virgin-and-child-enthroned.html", - "title": "Masaccio, Virgin and Child Enthroned", - "duration": 330, - "youtube_id": "6LurHwFfrIA", - "keywords": "Masaccio, Madonna Enthroned, National Gallery, London, Art History, Smarthistory", - "path": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/v/masaccio--madonna-enthroned--1426/", + "description": "Determining the proper orientation of a boundary given the orientation of the normal vector", + "title": "Orientation and Stokes", + "duration": 266, + "youtube_id": "U6U4HhR3Fqc", + "keywords": "stokes, theorem", + "path": "/math/calculus/multivariable-calculus/stokes_theorem/v/orientation-and-stokes/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6LurHwFfrIA.mp4/6LurHwFfrIA.mp4", - 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"path": "/math/algebra/quadratics/v/application-problem-with-quadratic-formula/", + "path": "/math/algebra/quadratics/quadratic_formula/v/application-problem-with-quadratic-formula/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/OZtqz_xw0SQ.mp4/OZtqz_xw0SQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OZtqz_xw0SQ.mp4/OZtqz_xw0SQ.png", @@ -5665,7 +11817,7 @@ "duration": 567, "youtube_id": "S0uuK7SQcA8", "keywords": "Division, decimals, CC_6_NS_3", - "path": "/math/arithmetic/decimals/v/dividing-decimal/", + "path": "/math/arithmetic/decimals/dividing_decimals/v/dividing-decimal/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/S0uuK7SQcA8.mp4/S0uuK7SQcA8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S0uuK7SQcA8.mp4/S0uuK7SQcA8.png", @@ -5681,7 +11833,7 @@ "duration": 700, "youtube_id": "lVadjWOjvV8", "keywords": "Stellar, Distance, Using, Parallax", - "path": "/science/cosmology-and-astronomy/v/stellar-distance-using-parallax/", + "path": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial/v/stellar-distance-using-parallax/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lVadjWOjvV8.mp4/lVadjWOjvV8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lVadjWOjvV8.mp4/lVadjWOjvV8.png", @@ -5713,7 +11865,7 @@ "duration": 339, "youtube_id": "frBJEYvyd-8", "keywords": "Absolute, Value, and, Number, Lines, CC_6_NS_7, CC_6_NS_7_a, CC_6_NS_7_b, CC_6_NS_7_c", - "path": "/math/arithmetic/absolute-value/v/absolute-value-and-number-lines/", + "path": "/math/arithmetic/absolute-value/abs_value_tutorial/v/absolute-value-and-number-lines/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/frBJEYvyd-8.mp4/frBJEYvyd-8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/frBJEYvyd-8.mp4/frBJEYvyd-8.png", @@ -5745,7 +11897,7 @@ "duration": 609, "youtube_id": "-KrSxA9NCf0", "keywords": "paulson, bailout, fed, inflation, deflation, credit, crunch", - "path": "/finance-economics/paulson-bailout/v/bailout-15--more-on-the-solution/", + "path": "/science/core-finance/money-and-banking/bank-bailout/v/bailout-15--more-on-the-solution/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-KrSxA9NCf0.mp4/-KrSxA9NCf0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-KrSxA9NCf0.mp4/-KrSxA9NCf0.png", @@ -5777,7 +11929,7 @@ "duration": 252, "youtube_id": "nhW3Ri4b_V8", "keywords": "intangible, assets, market, value", - "path": "/finance-economics/core-finance/v/market-value-of-assets/", + "path": "/science/core-finance/stock-and-bonds/company-statements-capital-struc/v/market-value-of-assets/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/nhW3Ri4b_V8.mp4/nhW3Ri4b_V8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nhW3Ri4b_V8.mp4/nhW3Ri4b_V8.png", @@ -5841,7 +11993,7 @@ "duration": 475, "youtube_id": "zWcfVC-oCNw", "keywords": "divisibility, prime, factorization", - "path": "/math/arithmetic/factors-multiples/v/common-divisibility-examples/", + "path": "/math/arithmetic/factors-multiples/prime_factorization/v/common-divisibility-examples/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/zWcfVC-oCNw.mp4/zWcfVC-oCNw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zWcfVC-oCNw.mp4/zWcfVC-oCNw.png", @@ -5850,6 +12002,22 @@ "slug": "common-divisibility-examples", "readable_id": "common-divisibility-examples" }, + "willem-de-kooning--woman-i--1950-52": { + "kind": "Video", + "description": "Willem de Kooning, Woman I, oil on canvas, 1950-52 (MoMA)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", + "title": "de Kooning's Woman I", + "duration": 220, + "youtube_id": "WEYKoJTIHcE", + "keywords": "dekooning, woman!, NEW", + "path": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/v/willem-de-kooning--woman-i--1950-52/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/WEYKoJTIHcE.mp4/WEYKoJTIHcE.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/WEYKoJTIHcE.mp4/WEYKoJTIHcE.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/WEYKoJTIHcE.m3u8/WEYKoJTIHcE.m3u8" + }, + "slug": "willem-de-kooning--woman-i--1950-52", + "readable_id": "willem-de-kooning--woman-i--1950-52" + }, "manet--le-d-jeuner-sur-l-herbe--luncheon-on-the-grass----1863": { "kind": "Video", "description": "\u00c9douard Manet, Le d\u00e9jeuner sur l'herbe (Luncheon on the Grass), oil on canvas, 1863 (Mus\u00e9e d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", @@ -5898,14 +12066,30 @@ "slug": "cahsee-practice--problems-35-37", "readable_id": "cahsee-practice--problems-35-37" }, + "chirality-centers-and-stereoisomers": { + "kind": "Video", + "description": "", + "title": "chirality centers and stereoisomers", + "duration": 760, + "youtube_id": "ICvPJPqAdhc", + "keywords": "", + "path": "/science/organic-chemistry/stereochemistry-topic/chirality-absolute-configuration/v/chirality-centers-and-stereoisomers/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ICvPJPqAdhc.mp4/ICvPJPqAdhc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/ICvPJPqAdhc.mp4/ICvPJPqAdhc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ICvPJPqAdhc.m3u8/ICvPJPqAdhc.m3u8" + }, + "slug": "chirality-centers-and-stereoisomers", + "readable_id": "chirality-centers-and-stereoisomers" + }, "deductive-reasoning-1": { "kind": "Video", - "description": "U12_L1_T4_we1 Deductive Reasoning 1", - "title": "Deductive Reasoning 1", + "description": "Deductive Reasoning 1", + "title": "Difference between inductive and deductive reasoning", "duration": 120, "youtube_id": "GEId0GonOZM", "keywords": "U12_L1_T4_we1, Deductive, Reasoning, CC_6_EE_9", - "path": "/math/statistics/v/deductive-reasoning-1/", + "path": "/math/trigonometry/seq_induction/deductive-and-inductive-reasoning/v/deductive-reasoning-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GEId0GonOZM.mp4/GEId0GonOZM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GEId0GonOZM.mp4/GEId0GonOZM.png", @@ -5916,12 +12100,12 @@ }, "deductive-reasoning-2": { "kind": "Video", - "description": "U12_L1_T4_we2 Deductive Reasoning 2", + "description": "Deductive Reasoning 2", "title": "Deductive Reasoning 2", "duration": 237, "youtube_id": "VMEV__2wW3E", "keywords": "U12_L1_T4_we2, Deductive, Reasoning, CC_39336_A-SSE_2", - "path": "/math/statistics/v/deductive-reasoning-2/", + "path": "/math/trigonometry/seq_induction/deductive-and-inductive-reasoning/v/deductive-reasoning-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VMEV__2wW3E.mp4/VMEV__2wW3E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VMEV__2wW3E.mp4/VMEV__2wW3E.png", @@ -5932,12 +12116,12 @@ }, "deductive-reasoning-3": { "kind": "Video", - "description": "U12_L1_T4_we3 Deductive Reasoning 3", + "description": "Deductive Reasoning 3", "title": "Deductive Reasoning 3", "duration": 251, "youtube_id": "lYLaaMObgkw", "keywords": "U12_L1_T4_we3, Deductive, Reasoning, CC_39336_A-APR_4", - "path": "/math/statistics/v/deductive-reasoning-3/", + "path": "/math/trigonometry/seq_induction/deductive-and-inductive-reasoning/v/deductive-reasoning-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lYLaaMObgkw.mp4/lYLaaMObgkw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lYLaaMObgkw.mp4/lYLaaMObgkw.png", @@ -5946,21 +12130,21 @@ "slug": "deductive-reasoning-3", "readable_id": "deductive-reasoning-3" }, - "forward-contract-introduction": { + "bouncing-droplets--superhydrophobic-and-superhydrophilic-surfaces": { "kind": "Video", - "description": "Forward Contract Introduction", - "title": "Forward Contract Introduction", - "duration": 191, - "youtube_id": "H9UEZdAnnt8", - "keywords": "Forward, Contract, Introduction", - 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The Wenzel and Cassie-Baxter models are explained. Special thanks to the MIT BioInstrumentation Lab.", + "title": "Bouncing Droplets: Superhydrophobic and Superhydrophilic Surfaces", + "duration": 497, + "youtube_id": "PPJ0Khs7uWs", + "keywords": "Chemistry, Engineering, MIT, M.I.T., K-12 (education), teaching, learning, demo*, science", + "path": "/science/mit-k12/v/bouncing-droplets--superhydrophobic-and-superhydrophilic-surfaces/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/H9UEZdAnnt8.mp4/H9UEZdAnnt8.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/H9UEZdAnnt8.mp4/H9UEZdAnnt8.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H9UEZdAnnt8.m3u8/H9UEZdAnnt8.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PPJ0Khs7uWs.mp4/PPJ0Khs7uWs.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/PPJ0Khs7uWs.mp4/PPJ0Khs7uWs.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PPJ0Khs7uWs.m3u8/PPJ0Khs7uWs.m3u8" }, - "slug": "forward-contract-introduction", - "readable_id": "forward-contract-introduction" + "slug": "bouncing-droplets--superhydrophobic-and-superhydrophilic-surfaces", + "readable_id": "bouncing-droplets--superhydrophobic-and-superhydrophilic-surfaces" }, "glycolysis": { "kind": "Video", @@ -5978,6 +12162,22 @@ "slug": "glycolysis", "readable_id": "glycolysis" }, + "e1-elimination--carbocation-rearrangements": { + "kind": "Video", + "description": "", + "title": "E1 Elimination: carbocation rearrangements", + "duration": 835, + "youtube_id": "QqRjcPOt4Ss", + "keywords": "", + "path": "/science/organic-chemistry/substitution-elimination-reactions/e1-e2-tutorial/v/e1-elimination--carbocation-rearrangements/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QqRjcPOt4Ss.mp4/QqRjcPOt4Ss.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/QqRjcPOt4Ss.mp4/QqRjcPOt4Ss.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QqRjcPOt4Ss.m3u8/QqRjcPOt4Ss.m3u8" + }, + "slug": "e1-elimination--carbocation-rearrangements", + "readable_id": "e1-elimination--carbocation-rearrangements" + }, "intro-to-rsa-encryption": { "kind": "Video", "description": "Introduction to why we would need RSA", @@ -6017,7 +12217,7 @@ "duration": 625, "youtube_id": "kpG7xySkivg", "keywords": "linear, algebra, determinant", - "path": "/math/linear-algebra/v/linear-algebra--determinant-after-row-operations/", + "path": "/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra--determinant-after-row-operations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/kpG7xySkivg.mp4/kpG7xySkivg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kpG7xySkivg.mp4/kpG7xySkivg.png", @@ -6033,7 +12233,7 @@ "duration": 340, "youtube_id": "xwOTlMaerEQ", "keywords": "tax, microeconomics, supply, demand", - "path": "/finance-economics/microeconomics/v/percentage-tax-on-hamburgers/", + "path": "/science/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/percentage-tax-on-hamburgers/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xwOTlMaerEQ.mp4/xwOTlMaerEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xwOTlMaerEQ.mp4/xwOTlMaerEQ.png", @@ -6145,7 +12345,7 @@ "duration": 610, "youtube_id": "kpywdu1afas", "keywords": "math, complex, imaginary, numbers", - "path": "/math/algebra/complex-numbers/v/complex-numbers--part-1/", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc/v/complex-numbers--part-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/kpywdu1afas.mp4/kpywdu1afas.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kpywdu1afas.mp4/kpywdu1afas.png", @@ -6156,12 +12356,12 @@ }, "rationalizing-denominators-of-expressions": { "kind": "Video", - "description": "u16_l2_t4_we1 Rationalizing Denominators of Expressions", + "description": "Rationalizing Denominators of Expressions", "title": "Rationalizing Denominators of Expressions", "duration": 298, "youtube_id": "Z3db5itCIiQ", "keywords": "u16_l2_t4_we1, Rationalizing, Denominators, of, Expressions", - "path": "/math/algebra/polynomials/v/rationalizing-denominators-of-expressions/", + "path": "/math/algebra/rational-expressions/rational_expressions/v/rationalizing-denominators-of-expressions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z3db5itCIiQ.mp4/Z3db5itCIiQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z3db5itCIiQ.mp4/Z3db5itCIiQ.png", @@ -6177,7 +12377,7 @@ "duration": 730, "youtube_id": "MN4SWiEEqKo", "keywords": "Chinese, Central, Bank, Buying, Treasuries, yuan, renminbi", - "path": "/finance-economics/currency/v/chinese-central-bank-buying-treasuries/", + "path": "/science/core-finance/money-and-banking/currency-tutorial/v/chinese-central-bank-buying-treasuries/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MN4SWiEEqKo.mp4/MN4SWiEEqKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MN4SWiEEqKo.mp4/MN4SWiEEqKo.png", @@ -6188,7 +12388,7 @@ }, "understanding-exponents": { "kind": "Video", - "description": "U01_L5_T1_we1 Understanding Exponents", + "description": "Understanding Exponents", "title": "Understanding Exponents", "duration": 115, "youtube_id": "mJ1P4A-KA8k", @@ -6225,7 +12425,7 @@ "duration": 404, "youtube_id": "rYG1D5lUE4I", "keywords": "complex, imagnary, numbers", - "path": "/math/algebra/complex-numbers/v/i-as-the-principal-root-of--1--a-little-technical/", + "path": "/math/trigonometry/imaginary_complex_precalc/i_precalc/v/i-as-the-principal-root-of--1--a-little-technical/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/rYG1D5lUE4I.mp4/rYG1D5lUE4I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rYG1D5lUE4I.mp4/rYG1D5lUE4I.png", @@ -6241,7 +12441,7 @@ "duration": 917, "youtube_id": "mtL_plJXv3c", "keywords": "finance, mortgage, home, buying, interest, model", - "path": "/finance-economics/core-finance/v/renting-vs--buying--detailed-analysis/", + "path": "/science/core-finance/housing/renting-v-buying/v/renting-vs--buying--detailed-analysis/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/mtL_plJXv3c.mp4/mtL_plJXv3c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mtL_plJXv3c.mp4/mtL_plJXv3c.png", @@ -6289,7 +12489,7 @@ "duration": 726, "youtube_id": "k1iHDu9GrJE", "keywords": "marginal, cost, microeconomics", - "path": "/finance-economics/microeconomics/v/visualizing-average-costs-and-marginal-costs-as-slope/", + "path": "/science/microeconomics/firm-economic-profit/average-costs-tutorial/v/visualizing-average-costs-and-marginal-costs-as-slope/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/k1iHDu9GrJE.mp4/k1iHDu9GrJE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k1iHDu9GrJE.mp4/k1iHDu9GrJE.png", @@ -6353,7 +12553,7 @@ "duration": 842, "youtube_id": "ervHbKa7R5g", "keywords": "geithner, timothy, obama, plan, bailout, TALF, TARP", - "path": "/finance-economics/geithner-plan/v/geithner-plan-i/", + "path": "/science/core-finance/money-and-banking/geithner-plan/v/geithner-plan-i/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ervHbKa7R5g.mp4/ervHbKa7R5g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ervHbKa7R5g.mp4/ervHbKa7R5g.png", @@ -6385,7 +12585,7 @@ "duration": 367, "youtube_id": "rbt51hXmzig", "keywords": "functions, algebra, math, compotise, f(x), g(x), khan, CC_39336_F-IF_8", - "path": "/math/algebra/algebra-functions/v/functions--part-4/", + "path": "/math/trigonometry/functions_and_graphs/function_introduction/v/functions--part-4/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/rbt51hXmzig.mp4/rbt51hXmzig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rbt51hXmzig.mp4/rbt51hXmzig.png", @@ -6401,7 +12601,7 @@ "duration": 814, "youtube_id": "meibWcbGqt4", "keywords": "change, of, basis, matrix, coordinate, system", - "path": "/math/linear-algebra/v/lin-alg--invertible-change-of-basis-matrix/", + "path": "/math/linear-algebra/alternate_bases/change_of_basis/v/lin-alg--invertible-change-of-basis-matrix/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/meibWcbGqt4.mp4/meibWcbGqt4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/meibWcbGqt4.mp4/meibWcbGqt4.png", @@ -6433,7 +12633,7 @@ "duration": 424, "youtube_id": "w3IKEa_GOYs", "keywords": "Star, Field, and, Nebula, Images", - "path": "/science/cosmology-and-astronomy/v/star-field-and-nebula-images/", + "path": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/star-field-and-nebula-images/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/w3IKEa_GOYs.mp4/w3IKEa_GOYs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w3IKEa_GOYs.mp4/w3IKEa_GOYs.png", @@ -6444,7 +12644,7 @@ }, "rational-exponents-and-exponent-laws": { "kind": "Video", - "description": "u16_l1_t3_we3 Rational Exponents and Exponent Laws", + "description": "Rational Exponents and Exponent Laws", "title": "Rational Exponents and Exponent Laws", "duration": 136, "youtube_id": "NuccqpiUHrk", @@ -6474,53 +12674,37 @@ "slug": "korean-war-overview", "readable_id": "korean-war-overview" }, - "adding-rational-expressions-example-3": { - "kind": "Video", - "description": "Adding Rational Expressions Example 3", - "title": "Adding Rational Expressions Example 3", - "duration": 383, - "youtube_id": "4VO-BgDgAHE", - 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"description": "u11_l1_t3_we2 Exponent Properties 6", + "description": "Exponent Properties 6", "title": "Exponent Properties 6", "duration": 259, "youtube_id": "BwmTemng9lc", @@ -6684,7 +12864,7 @@ }, "exponent-properties-5": { "kind": "Video", - "description": "u11_l1_t3_we1 Exponent Properties 5", + "description": "Exponent Properties 5", "title": "Exponent Properties 5", "duration": 170, "youtube_id": "4jhG7g5qgO0", @@ -6700,7 +12880,7 @@ }, "exponent-properties-4": { "kind": "Video", - "description": "u11_l1_t2_we4 Exponent Properties 4", + "description": "Exponent Properties 4", "title": "Exponent Properties 4", "duration": 187, "youtube_id": "X6zD3SoN3iY", @@ -6716,7 +12896,7 @@ }, "exponent-properties-3": { "kind": "Video", - "description": "u11_l1_t2_we3 Exponent Properties 3", + "description": "Exponent Properties 3", "title": "Exponent Properties 3", "duration": 155, "youtube_id": "Of8ezQj1hRk", @@ -6732,7 +12912,7 @@ }, "exponent-properties-2": { "kind": "Video", - "description": "u11_l1_t2_we2 Exponent Properties 2", + "description": "Exponent Properties 2", "title": "Exponent Properties 2", "duration": 312, "youtube_id": "tvj42WdKlH4", @@ -6769,7 +12949,7 @@ "duration": 300, "youtube_id": "3Ee_huKclEQ", "keywords": "algebra, synthetic, division", - 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"path": "/finance-economics/macroeconomics/v/introduction-to-inflation/", + "path": "/science/macroeconomics/inflation-topic/cost-of-living-tutorial/v/introduction-to-inflation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AaR1mPrdbTc.mp4/AaR1mPrdbTc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AaR1mPrdbTc.mp4/AaR1mPrdbTc.png", @@ -6849,7 +13029,7 @@ "duration": 432, "youtube_id": "hJ18CrKU3Zc", "keywords": "normal, force, centripetal", - "path": "/science/physics/mechanics/v/normal-forces-on-lubricon-vi/", + "path": "/science/physics/forces-newtons-laws/lubricon-vi/v/normal-forces-on-lubricon-vi/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/hJ18CrKU3Zc.mp4/hJ18CrKU3Zc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hJ18CrKU3Zc.mp4/hJ18CrKU3Zc.png", @@ -6865,7 +13045,7 @@ "duration": 575, "youtube_id": "NCwwfvPEVn8", "keywords": "surface, integral, flux", - "path": "/math/calculus/multivariable-calculus/v/vector-representation-of-a-surface-integral/", + "path": "/math/calculus/multivariable-calculus/3d_flux/v/vector-representation-of-a-surface-integral/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NCwwfvPEVn8.mp4/NCwwfvPEVn8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NCwwfvPEVn8.mp4/NCwwfvPEVn8.png", @@ -6881,7 +13061,7 @@ "duration": 188, "youtube_id": "TdW3LdN5SJw", "keywords": "Call, Writer, Payoff, Diagram", - "path": "/finance-economics/core-finance/v/call-writer-payoff-diagram/", + "path": "/science/core-finance/derivative-securities/put-call-options/v/call-writer-payoff-diagram/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TdW3LdN5SJw.mp4/TdW3LdN5SJw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TdW3LdN5SJw.mp4/TdW3LdN5SJw.png", @@ -6908,12 +13088,12 @@ }, "adding-whole-numbers-and-applications-1": { "kind": "Video", - "description": "U01_L2_T1_we1 Adding Whole Numbers and Applications 1", - "title": "Adding Whole Numbers and Applications 1", + "description": "Adding Whole Numbers and Applications 1", + "title": "Example: Adding two digit numbers (no carrying)", "duration": 92, "youtube_id": "b22tMEc6Kko", "keywords": "U01_L2_T1_we1, Adding, Whole, Numbers, and, Applications, CC_1_NBT_2_a, CC_1_NBT_2_b, CC_1_NBT_3", - "path": "/math/arithmetic/addition-subtraction/v/adding-whole-numbers-and-applications-1/", + "path": "/math/arithmetic/addition-subtraction/two_dig_add_sub/v/adding-whole-numbers-and-applications-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/b22tMEc6Kko.mp4/b22tMEc6Kko.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b22tMEc6Kko.mp4/b22tMEc6Kko.png", @@ -6922,6 +13102,22 @@ "slug": "adding-whole-numbers-and-applications-1", "readable_id": "adding-whole-numbers-and-applications-1" }, + "fetal-structures-in-an-adult": { + "kind": "Video", + "description": "Find out what happens to those nifty fetal structures once we get older. Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Fetal Structures in an Adult", + "duration": 497, + "youtube_id": "Oga0K4reWoY", + "keywords": "", + "path": "/science/healthcare-and-medicine/fetal-circulation/v/fetal-structures-in-an-adult/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Oga0K4reWoY.mp4/Oga0K4reWoY.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Oga0K4reWoY.mp4/Oga0K4reWoY.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Oga0K4reWoY.m3u8/Oga0K4reWoY.m3u8" + }, + "slug": "fetal-structures-in-an-adult", + "readable_id": "fetal-structures-in-an-adult" + }, "banking-2--a-bank-s-income-statement": { "kind": "Video", "description": "Introduction to the income statement of a bank (and to income statements in general).", @@ -6929,7 +13125,7 @@ "duration": 719, "youtube_id": "h3lMANILkw0", "keywords": "income, statement, balance, sheet, bank, credit, debt, savings, deposits", - "path": "/finance-economics/banking-and-money/v/banking-2--a-bank-s-income-statement/", + "path": "/science/core-finance/money-and-banking/banking-and-money/v/banking-2--a-bank-s-income-statement/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/h3lMANILkw0.mp4/h3lMANILkw0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h3lMANILkw0.mp4/h3lMANILkw0.png", @@ -6961,7 +13157,7 @@ "duration": 289, "youtube_id": "Z9b8nnvpim0", "keywords": "macroeconomics, Gross Domestic Product", - "path": "/finance-economics/macroeconomics/v/income-and-expenditure-views-of-gdp/", + "path": "/science/macroeconomics/gdp-topic/GDP-components-tutorial/v/income-and-expenditure-views-of-gdp/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z9b8nnvpim0.mp4/Z9b8nnvpim0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z9b8nnvpim0.mp4/Z9b8nnvpim0.png", @@ -6977,7 +13173,7 @@ "duration": 927, "youtube_id": "xO_1bYgoQvA", "keywords": "arithmetic, multiplication, tables, CC_3_OA_7, CC_3_OA_9", - "path": "/math/arithmetic/multiplication-division/v/multiplication-2--the-multiplication-tables/", + "path": "/math/arithmetic/multiplication-division/multiplication_fun/v/multiplication-2--the-multiplication-tables/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xO_1bYgoQvA.mp4/xO_1bYgoQvA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xO_1bYgoQvA.mp4/xO_1bYgoQvA.png", @@ -6989,11 +13185,11 @@ "quotient-rule": { "kind": "Video", "description": "Why the quotient rule is the same thing as the product rule. Introduction to the derivative of e^x, ln x, sin x, cos x, and tan x", - "title": "Quotient Rule", + "title": "Quotient rule and common derivatives", "duration": 571, "youtube_id": "E_1gEtiGPNI", "keywords": "derivatives, calculus, trigonometry, khan, academy", - "path": "/math/calculus/differential-calculus/v/quotient-rule/", + "path": "/math/calculus/differential-calculus/der_common_functions/v/quotient-rule/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/E_1gEtiGPNI.mp4/E_1gEtiGPNI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E_1gEtiGPNI.mp4/E_1gEtiGPNI.png", @@ -7002,21 +13198,21 @@ "slug": "quotient-rule", "readable_id": "quotient-rule" }, - "proportionality": { + "bonheur--sheep-in-the-highlands--1857": { "kind": "Video", - "description": "Proportionality", - "title": "Proportionality", - "duration": 1023, - "youtube_id": "AQFZuih2odo", - "keywords": "Proportionality, CC_7_RP_2, CC_7_RP_2_b, CC_7_RP_3, CC_39336_A-CED_4", - "path": "/math/algebra/ck12-algebra-1/v/proportionality/", + "description": "Rosa Bonheur, Sheep in the Highlands, 1857, oil on canvas, 46 x 65 cm (Wallace \nCollection, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nThe Wallace Collection suggests that this painting is likely the result of a trip that \nthe artist made to Scotland the previous year.", + "title": "Bonheur's Sheep in the Highlands", + "duration": 145, + "youtube_id": "76gw8PA12ag", + "keywords": "Smarthistory, Art History, Bonheur, Rose Bonheur, Realism", + "path": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/v/bonheur--sheep-in-the-highlands--1857/", "download_urls": { - 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"path": "/science/cosmology-and-astronomy/v/cosmological-time-scale-2/", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/cosmos-time-scale-tutorial/v/cosmological-time-scale-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/LO7-3MpWijU.mp4/LO7-3MpWijU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LO7-3MpWijU.mp4/LO7-3MpWijU.png", @@ -7105,7 +13301,7 @@ "duration": 427, "youtube_id": "DRtLXagrMHw", "keywords": "Cosmological, Time, Scale", - "path": "/science/cosmology-and-astronomy/v/cosmological-time-scale-1/", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/cosmos-time-scale-tutorial/v/cosmological-time-scale-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/DRtLXagrMHw.mp4/DRtLXagrMHw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DRtLXagrMHw.mp4/DRtLXagrMHw.png", @@ -7137,7 +13333,7 @@ "duration": 555, "youtube_id": "6PaFm_Je5A0", "keywords": "calculus, derivative, integral, area, khan", - "path": "/math/calculus/integral-calculus/v/definite-integrals--part-ii/", + "path": "/math/calculus/integral-calculus/definite_integrals/v/definite-integrals--part-ii/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6PaFm_Je5A0.mp4/6PaFm_Je5A0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6PaFm_Je5A0.mp4/6PaFm_Je5A0.png", @@ -7146,14 +13342,30 @@ "slug": "definite-integrals--part-ii", "readable_id": "definite-integrals--part-ii" }, + "review-of-revenue-and-cost-graphs-for-a-monopoly-1": { + "kind": "Video", + "description": "", + "title": "Review of Revenue and Cost Graphs for a Monopoly", + "duration": 622, + "youtube_id": "A_lV-XArVeE", + "keywords": "", + "path": "/science/microeconomics/perfect-competition-topic/monopolies-tutorial/v/review-of-revenue-and-cost-graphs-for-a-monopoly-1/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/A_lV-XArVeE.mp4/A_lV-XArVeE.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/A_lV-XArVeE.mp4/A_lV-XArVeE.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A_lV-XArVeE.m3u8/A_lV-XArVeE.m3u8" + }, + "slug": "review-of-revenue-and-cost-graphs-for-a-monopoly-1", + "readable_id": "review-of-revenue-and-cost-graphs-for-a-monopoly-1" + }, "multiplication-5---2-digit-times-a-2-digit-number": { "kind": "Video", "description": "Multiplying a 2-digit number times a 2-digit number", - "title": "Multiplication 5: 2-digit times a 2-digit number", + "title": "2-digit times a 2-digit number", "duration": 675, "youtube_id": "t8m0NalQtEk", "keywords": "multiplication, CC_4_NBT_5", - "path": "/math/arithmetic/multiplication-division/v/multiplication-5---2-digit-times-a-2-digit-number/", + "path": "/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplication-5---2-digit-times-a-2-digit-number/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/t8m0NalQtEk.mp4/t8m0NalQtEk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t8m0NalQtEk.mp4/t8m0NalQtEk.png", @@ -7169,7 +13381,7 @@ "duration": 690, "youtube_id": "kJSOqlcFpJw", "keywords": "Becoming, Red, Giant, stellar, evolution", - "path": "/science/cosmology-and-astronomy/v/becoming-a-red-giant/", + "path": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/becoming-a-red-giant/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/kJSOqlcFpJw.mp4/kJSOqlcFpJw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kJSOqlcFpJw.mp4/kJSOqlcFpJw.png", @@ -7185,7 +13397,7 @@ "duration": 664, "youtube_id": "KKAD-OOOHxg", "keywords": "Naming, Alkanes, with, Alkyl, Groups", - "path": "/science/organic-chemistry/v/naming-alkanes-with-alkyl-groups/", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/naming-alkanes-with-alkyl-groups/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/KKAD-OOOHxg.mp4/KKAD-OOOHxg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KKAD-OOOHxg.mp4/KKAD-OOOHxg.png", @@ -7196,12 +13408,12 @@ }, "l-hopital-s-rule-example-2": { "kind": "Video", - "description": "L'Hopital's Rule Example 2", - "title": "L'Hopital's Rule Example 2", + "description": "L'H\u00f4pital's Rule Example 2", + "title": "L'H\u00f4pital's Rule Example 2", "duration": 315, "youtube_id": "FJo18AwLfuI", "keywords": "L'Hopital's, Rule, Example", - "path": "/math/calculus/differential-calculus/v/l-hopital-s-rule-example-2/", + "path": "/math/calculus/derivative_applications/lhopital_rule/v/l-hopital-s-rule-example-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/FJo18AwLfuI.mp4/FJo18AwLfuI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FJo18AwLfuI.mp4/FJo18AwLfuI.png", @@ -7242,37 +13454,37 @@ "slug": "iit-jee-hairy-trig-and-algebra--part-1", "readable_id": "iit-jee-hairy-trig-and-algebra--part-1" }, - 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"path": "/math/arithmetic/negative-numbers/v/adding-subtracting-negative-numbers/", + "path": "/math/arithmetic/absolute-value/adding_subtracting_negatives/v/adding-subtracting-negative-numbers/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/C38B33ZywWs.mp4/C38B33ZywWs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C38B33ZywWs.mp4/C38B33ZywWs.png", @@ -7325,11 +13537,11 @@ "patterns-and-equations": { "kind": "Video", "description": null, - "title": "Patterns and Equations", + "title": "Bunch of examples", "duration": 798, "youtube_id": "rUT0pa87m7E", "keywords": "Patterns, And, Equations, CC_7_EE_4, CC_39336_A-CED_1", - "path": "/math/algebra/ck12-algebra-1/v/patterns-and-equations/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/patterns-and-equations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/rUT0pa87m7E.mp4/rUT0pa87m7E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rUT0pa87m7E.mp4/rUT0pa87m7E.png", @@ -7372,7 +13584,7 @@ }, "more-rational-exponents-and-exponent-laws": { "kind": "Video", - "description": "u16_l1_t3_we4 More Rational Exponents and Exponent Laws", + "description": "More Rational Exponents and Exponent Laws", "title": "More Rational Exponents and Exponent Laws", "duration": 205, "youtube_id": "rco7DMcy-oE", @@ -7393,7 +13605,7 @@ "duration": 866, "youtube_id": "l5zJvZKfMYE", "keywords": "green's, theorem, proof, vector, calculus", - "path": "/math/calculus/multivariable-calculus/v/green-s-theorem-proof-part-1/", + "path": "/math/calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-proof-part-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/l5zJvZKfMYE.mp4/l5zJvZKfMYE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l5zJvZKfMYE.mp4/l5zJvZKfMYE.png", @@ -7409,7 +13621,7 @@ "duration": 465, "youtube_id": "XfR3JSkSkJM", "keywords": "depreciation, amortization, accounting, investing", - "path": "/finance-economics/valuation-and-investing/v/amortization/", + "path": "/science/core-finance/stock-and-bonds/valuation-and-investing/v/amortization/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XfR3JSkSkJM.mp4/XfR3JSkSkJM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XfR3JSkSkJM.mp4/XfR3JSkSkJM.png", @@ -7450,37 +13662,37 @@ "slug": "sat-prep--test-4-section-4-part-4", "readable_id": "sat-prep--test-4-section-4-part-4" }, - 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Independent assortment. Incomplete dominance. Codominance and multiple alleles.", - "title": "Punnett Square Fun", - "duration": 1516, - "youtube_id": "D5ymMYcLtv0", - "keywords": "biology, heredity, genetics, genotype, phenotype, dominant, recessive", - "path": "/science/biology/heredity-and-genetics/v/punnett-square-fun/", + "description": "Figuring out the formula for fixed mortgage payments using the sum of a geometric series", + "title": "Geometric series sum to figure out mortgage payments", + "duration": 1056, + "youtube_id": "i05-okb1EJg", + "keywords": "geometric, series, mortgage, math, CC_39336_A-SSE_4", + "path": "/science/core-finance/housing/mortgages-tutorial/v/geometric-series-sum-to-figure-out-mortgage-payments/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/D5ymMYcLtv0.mp4/D5ymMYcLtv0.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/D5ymMYcLtv0.mp4/D5ymMYcLtv0.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D5ymMYcLtv0.m3u8/D5ymMYcLtv0.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/i05-okb1EJg.mp4/i05-okb1EJg.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/i05-okb1EJg.mp4/i05-okb1EJg.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i05-okb1EJg.m3u8/i05-okb1EJg.m3u8" }, - "slug": "punnett-square-fun", - "readable_id": "punnett-square-fun" + "slug": "geometric-series-sum-to-figure-out-mortgage-payments", + "readable_id": "geometric-series-sum-to-figure-out-mortgage-payments" }, "potassium-argon--k-ar--dating": { "kind": "Video", @@ -7489,7 +13701,7 @@ "duration": 635, "youtube_id": "NMZ5kJEviD0", "keywords": "chronometric, revolution", - "path": "/science/cosmology-and-astronomy/v/potassium-argon--k-ar--dating/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/v/potassium-argon--k-ar--dating/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NMZ5kJEviD0.mp4/NMZ5kJEviD0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NMZ5kJEviD0.mp4/NMZ5kJEviD0.png", @@ -7500,7 +13712,7 @@ }, "subtracting-and-simplifying-radicals": { "kind": "Video", - "description": "u16_l2_t2_we2 Subtracting and Simplifying Radicals", + "description": "Subtracting and Simplifying Radicals", "title": "Subtracting and Simplifying Radicals", "duration": 345, "youtube_id": "qH4IQfDD1Nw", @@ -7546,22 +13758,6 @@ "slug": "keq-derivation-intuition--can-skip--bit-mathy", "readable_id": "keq-derivation-intuition--can-skip--bit-mathy" }, - "multiplication-of-rational-numbers": { - "kind": "Video", - "description": null, - "title": "Multiplication of Rational Numbers", - "duration": 536, - "youtube_id": "lBi9bwz08EY", - "keywords": "Multiplication, Of, Rational, Numbers, CC_7_NS_2", - "path": "/math/algebra/ck12-algebra-1/v/multiplication-of-rational-numbers/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lBi9bwz08EY.mp4/lBi9bwz08EY.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/lBi9bwz08EY.mp4/lBi9bwz08EY.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lBi9bwz08EY.m3u8/lBi9bwz08EY.m3u8" - }, - "slug": "multiplication-of-rational-numbers", - "readable_id": "multiplication-of-rational-numbers" - }, "vel-zquez--las-meninas--c--1656": { "kind": "Video", "description": "Diego Rodr\u00edguez de Silva y Vel\u00e1zquez, Las Meninas, c. 1656, oil on canvas,\n125 1/4 x 108 5/8 in. (318 x 276 cm), (Museo Nacional del Prado, Madrid)\n\nFor more art history videos, visit smarthistory.org", @@ -7585,7 +13781,7 @@ "duration": 652, "youtube_id": "FXZ2O1Lv-KE", "keywords": "central, limit, theorem, sampling, distribution, sample, mean, CC_6_SP_2, CC_6_SP_4, CC_6_SP_5_c, CC_6_SP_5_d, CC_7_SP_1, CC_7_SP_2", - "path": "/math/statistics/v/sampling-distribution-of-the-sample-mean/", + "path": "/math/probability/statistics-inferential/sampling_distribution/v/sampling-distribution-of-the-sample-mean/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/FXZ2O1Lv-KE.mp4/FXZ2O1Lv-KE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FXZ2O1Lv-KE.mp4/FXZ2O1Lv-KE.png", @@ -7610,22 +13806,6 @@ "slug": "raphael--madonna-of-the-goldfinch--1505-6", "readable_id": "raphael--madonna-of-the-goldfinch--1505-6" }, - "total-displacement-for-projectile": { - "kind": "Video", - "description": "Reconstructing the total displacement vector for a projectile", - "title": "Total Displacement for Projectile", - "duration": 826, - "youtube_id": "UXORCpvKYiI", - "keywords": "kinematics, vector, acceleration", - "path": "/science/physics/mechanics/v/total-displacement-for-projectile/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/UXORCpvKYiI.mp4/UXORCpvKYiI.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/UXORCpvKYiI.mp4/UXORCpvKYiI.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UXORCpvKYiI.m3u8/UXORCpvKYiI.m3u8" - }, - "slug": "total-displacement-for-projectile", - "readable_id": "total-displacement-for-projectile" - }, "two-column-proof-showing-segments-are-perpendicular": { "kind": "Video", "description": "Using triangle congruency postulates to show that two intersecting segments are perpendicular", @@ -7642,21 +13822,21 @@ "slug": "two-column-proof-showing-segments-are-perpendicular", "readable_id": "two-column-proof-showing-segments-are-perpendicular" }, - "pension-obligations": { + "stroke-work-in-pv-loops-and-boxes": { "kind": "Video", - "description": "Thinking about pensions, defined benefit plans, defined contribution plans and how pensions tend to get underfunded", - "title": "Pension obligations", - "duration": 607, - "youtube_id": "qBYa_QOWuaE", - "keywords": "pension, underfunded, defined benefit, defined contribution, marquee", - "path": "/humanities/american-civics/v/pension-obligations/", + "description": "Watch how PV loops can be \"morphed\" into PV boxes to make drawing them and thinking about them much simpler. Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Stroke Work in PV Loops and Boxes", + "duration": 413, + "youtube_id": "aFV9dk5PsPA", + "keywords": "", + "path": "/science/healthcare-and-medicine/changing-the-PV-loop/v/stroke-work-in-pv-loops-and-boxes/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qBYa_QOWuaE.mp4/qBYa_QOWuaE.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/qBYa_QOWuaE.mp4/qBYa_QOWuaE.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qBYa_QOWuaE.m3u8/qBYa_QOWuaE.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/aFV9dk5PsPA.mp4/aFV9dk5PsPA.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/aFV9dk5PsPA.mp4/aFV9dk5PsPA.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aFV9dk5PsPA.m3u8/aFV9dk5PsPA.m3u8" }, - "slug": "pension-obligations", - "readable_id": "pension-obligations" + "slug": "stroke-work-in-pv-loops-and-boxes", + "readable_id": "stroke-work-in-pv-loops-and-boxes" }, "lin-alg--another-example-of-a-projection-matrix": { "kind": "Video", @@ -7665,7 +13845,7 @@ "duration": 1295, "youtube_id": "XhCSHu6dHb8", "keywords": "projection, subspace", - "path": "/math/linear-algebra/v/lin-alg--another-example-of-a-projection-matrix/", + "path": "/math/linear-algebra/alternate_bases/orthogonal_projections/v/lin-alg--another-example-of-a-projection-matrix/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XhCSHu6dHb8.mp4/XhCSHu6dHb8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XhCSHu6dHb8.mp4/XhCSHu6dHb8.png", @@ -7681,7 +13861,7 @@ "duration": 528, "youtube_id": "h78GdGiRmpM", "keywords": "calculus, derivative, product, chain, rule, khan, academy", - "path": "/math/calculus/differential-calculus/v/product-rule/", + "path": "/math/calculus/differential-calculus/product_rule/v/product-rule/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/h78GdGiRmpM.mp4/h78GdGiRmpM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h78GdGiRmpM.mp4/h78GdGiRmpM.png", @@ -7692,12 +13872,12 @@ }, "solving-and-graphing-linear-inequalities-in-two-variables-1": { "kind": "Video", - "description": "U05_L2_T1_we1 : Solving and graphing linear inequalities in two variables", + "description": "Solving and graphing linear inequalities in two variables", "title": "Solving and graphing linear inequalities in two variables 1", "duration": 135, "youtube_id": "EoCeL4SPIcA", "keywords": "U05_L2_T1_we1, Solving, and, graphing, linear, inequalities, in, two, variables, CC_6_EE_8, CC_7_EE_4_b, CC_39336_A-REI_10", - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities/v/solving-and-graphing-linear-inequalities-in-two-variables-1/", + "path": "/math/trigonometry/graphs/graphing_inequalities/v/solving-and-graphing-linear-inequalities-in-two-variables-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/EoCeL4SPIcA.mp4/EoCeL4SPIcA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EoCeL4SPIcA.mp4/EoCeL4SPIcA.png", @@ -7706,21 +13886,21 @@ "slug": "solving-and-graphing-linear-inequalities-in-two-variables-1", "readable_id": "solving-and-graphing-linear-inequalities-in-two-variables-1" }, - "put-as-insurance": { + "raising-money-for-a-startup": { "kind": "Video", - "description": "Put as Insurance", - "title": "Put as Insurance", - "duration": 228, - "youtube_id": "i65NIcnHS9Y", - "keywords": "Put, as, Insurance", - "path": "/finance-economics/core-finance/v/put-as-insurance/", + "description": "Raising money from an angel investor. Pre-money and post-money valuation.", + "title": "Raising money for a startup", + "duration": 722, + "youtube_id": "8OCjwBkMJ_E", + "keywords": "vencture, capital, angel, pre, post, money, valuation", + "path": "/science/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/raising-money-for-a-startup/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/i65NIcnHS9Y.mp4/i65NIcnHS9Y.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/i65NIcnHS9Y.mp4/i65NIcnHS9Y.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i65NIcnHS9Y.m3u8/i65NIcnHS9Y.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8OCjwBkMJ_E.mp4/8OCjwBkMJ_E.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/8OCjwBkMJ_E.mp4/8OCjwBkMJ_E.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8OCjwBkMJ_E.m3u8/8OCjwBkMJ_E.m3u8" }, - "slug": "put-as-insurance", - "readable_id": "put-as-insurance" + "slug": "raising-money-for-a-startup", + "readable_id": "raising-money-for-a-startup" }, "singapore-math--grade-3a-unit-2--part-7": { "kind": "Video", @@ -7754,21 +13934,21 @@ "slug": "mary-cassatt--breakfast-in-bed--1897", "readable_id": "mary-cassatt--breakfast-in-bed--1897" }, - "what-is-inside-a-tap-light": { + "consumption-function-with-income-dependent-taxes": { "kind": "Video", - "description": "In this video we go inside a tap light to discover what is inside and how it works.", - "title": "What is inside a tap light?", - "duration": 362, - "youtube_id": "qLMsZKx_a8s", - "keywords": "Tap light, led", - "path": "/science/projects/reverse-engineering/v/what-is-inside-a-tap-light/", + "description": "Thinking about a consumption function where taxes are also a function of income (which is more realistic than constant taxes)", + "title": "Consumption Function with Income Dependent Taxes", + "duration": 445, + "youtube_id": "wHPGFPIcILM", + "keywords": "macroeconomics", + "path": "/science/macroeconomics/income-and-expenditure-topic/consumption-function/v/consumption-function-with-income-dependent-taxes/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qLMsZKx_a8s.mp4/qLMsZKx_a8s.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/qLMsZKx_a8s.mp4/qLMsZKx_a8s.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qLMsZKx_a8s.m3u8/qLMsZKx_a8s.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wHPGFPIcILM.mp4/wHPGFPIcILM.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/wHPGFPIcILM.mp4/wHPGFPIcILM.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wHPGFPIcILM.m3u8/wHPGFPIcILM.m3u8" }, - "slug": "what-is-inside-a-tap-light", - "readable_id": "what-is-inside-a-tap-light" + "slug": "consumption-function-with-income-dependent-taxes", + "readable_id": "consumption-function-with-income-dependent-taxes" }, "gmat-math-54": { "kind": "Video", @@ -7793,7 +13973,7 @@ "duration": 160, "youtube_id": "BRXBCxKjiK8", "keywords": "macroeconomics", - "path": "/finance-economics/macroeconomics/v/tax-lever-of-fiscal-policy/", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/monetary-fiscal-policy/v/tax-lever-of-fiscal-policy/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BRXBCxKjiK8.mp4/BRXBCxKjiK8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BRXBCxKjiK8.mp4/BRXBCxKjiK8.png", @@ -7809,7 +13989,7 @@ "duration": 259, "youtube_id": "FcRxdq7KGOQ", "keywords": "Futures, arbitrage", - "path": "/finance-economics/core-finance/v/upper-bound-on-forward-settlement-price/", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/upper-bound-on-forward-settlement-price/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/FcRxdq7KGOQ.mp4/FcRxdq7KGOQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FcRxdq7KGOQ.mp4/FcRxdq7KGOQ.png", @@ -7818,6 +13998,22 @@ "slug": "upper-bound-on-forward-settlement-price", "readable_id": "upper-bound-on-forward-settlement-price" }, + "u-substitution": { + "kind": "Video", + "description": "Using U-substitution to find the anti-derivative of a function. Seeing that U-substitution is the inverse of the chain rule.", + "title": "U-substitution", + "duration": 311, + "youtube_id": "b76wePnIBdU", + "keywords": "", + "path": "/math/calculus/integral-calculus/u_substitution/v/u-substitution/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/b76wePnIBdU.mp4/b76wePnIBdU.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/b76wePnIBdU.mp4/b76wePnIBdU.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/b76wePnIBdU.m3u8/b76wePnIBdU.m3u8" + }, + "slug": "u-substitution", + "readable_id": "u-substitution" + }, "milankovitch-cycles---precession-and-obliquity": { "kind": "Video", "description": "How changes in Earth's rotation can effect Earth's seasons and climate", @@ -7825,7 +14021,7 @@ "duration": 777, "youtube_id": "ZD8THEz18gc", "keywords": "Milankovitch, Cycles, Precession, and, Obliquity", - "path": "/science/cosmology-and-astronomy/v/milankovitch-cycles---precession-and-obliquity/", + "path": "/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/milankovitch-cycles---precession-and-obliquity/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZD8THEz18gc.mp4/ZD8THEz18gc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZD8THEz18gc.mp4/ZD8THEz18gc.png", @@ -7841,7 +14037,7 @@ "duration": 558, "youtube_id": "2WS1sG9fhOk", "keywords": "physics, work, energy, joule, force, distance, physical, science", - 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"description": "u3_l2_t2_we2 Multiplying a Decimal by a Power of 10", + "description": "Multiplying a Decimal by a Power of 10", "title": "Multiplying a Decimal by a Power of 10", "duration": 227, "youtube_id": "mV0RxDZG05A", "keywords": "u3_l2_t2_we2, Multiplying, Decimal, by, Power, of, 10, CC_5_NBT_7, CC_6_NS_3", - "path": "/math/arithmetic/decimals/v/multiplying-a-decimal-by-a-power-of-10/", + "path": "/math/arithmetic/decimals/multiplying_decimals/v/multiplying-a-decimal-by-a-power-of-10/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/mV0RxDZG05A.mp4/mV0RxDZG05A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mV0RxDZG05A.mp4/mV0RxDZG05A.png", @@ -8017,7 +14229,7 @@ "duration": 761, "youtube_id": "lng4ZgConCM", "keywords": "R-Squared, or, Coefficient, of, Determination, CC_8_SP_2, CC_8_SP_3", - "path": "/math/statistics/v/r-squared-or-coefficient-of-determination/", + "path": "/math/probability/regression/regression-correlation/v/r-squared-or-coefficient-of-determination/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lng4ZgConCM.mp4/lng4ZgConCM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lng4ZgConCM.mp4/lng4ZgConCM.png", @@ -8033,7 +14245,7 @@ "duration": 1120, "youtube_id": "H9BWRYJNIv4", "keywords": "determinant, example", - 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"description": "u14_l1_t2_we3 System of Inequalities Application", + "description": "System of Inequalities Application", "title": "System of Inequalities Application", "duration": 489, "youtube_id": "G0fH6blRMHI", @@ -8113,7 +14341,7 @@ "duration": 1209, "youtube_id": "g3MqSdO5Ubc", "keywords": "determinant, area, transformation", - "path": "/math/linear-algebra/v/linear-algebra--determinant-as-scaling-factor/", + "path": "/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra--determinant-as-scaling-factor/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/g3MqSdO5Ubc.mp4/g3MqSdO5Ubc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g3MqSdO5Ubc.mp4/g3MqSdO5Ubc.png", @@ -8129,7 +14357,7 @@ "duration": 496, "youtube_id": "ShzPtU7IOXs", "keywords": "economics, supply, demand", - "path": "/finance-economics/microeconomics/v/law-of-demand/", + "path": "/science/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/law-of-demand/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ShzPtU7IOXs.mp4/ShzPtU7IOXs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ShzPtU7IOXs.mp4/ShzPtU7IOXs.png", @@ -8156,12 +14384,12 @@ }, "recognizing-divisibility": { "kind": "Video", - "description": "U02_L1_T3_we1 Recognizing Divisibility", + "description": "Recognizing Divisibility", "title": "Recognizing Divisibility", "duration": 386, "youtube_id": "2G_Jr_XpnY4", "keywords": "U02_L1_T3_we1, Recognizing, Divisibility, CC_3_OA_7", - "path": "/math/arithmetic/factors-multiples/v/recognizing-divisibility/", + "path": "/math/arithmetic/factors-multiples/divisibility_tests/v/recognizing-divisibility/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/2G_Jr_XpnY4.mp4/2G_Jr_XpnY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2G_Jr_XpnY4.mp4/2G_Jr_XpnY4.png", @@ -8177,7 +14405,7 @@ "duration": 361, "youtube_id": "YOT8ryWzwbY", "keywords": "economics, elasticity, demand", - "path": "/finance-economics/microeconomics/v/more-on-elasticity-of-demand/", + "path": "/science/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/more-on-elasticity-of-demand/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YOT8ryWzwbY.mp4/YOT8ryWzwbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YOT8ryWzwbY.mp4/YOT8ryWzwbY.png", @@ -8193,7 +14421,7 @@ "duration": 538, "youtube_id": "0w9R_foNLrg", "keywords": "Universe, Smaller, than, the, Observable, Cosmology, Astronomy", - "path": "/science/cosmology-and-astronomy/v/a-universe-smaller-than-the-observable/", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/a-universe-smaller-than-the-observable/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/0w9R_foNLrg.mp4/0w9R_foNLrg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0w9R_foNLrg.mp4/0w9R_foNLrg.png", @@ -8252,12 +14480,12 @@ }, "estimation-with-decimals": { "kind": "Video", - "description": "U03_L2_T3_we1 Estimation with Decimals", + "description": "Estimation with Decimals", "title": "Estimation with Decimals", "duration": 181, "youtube_id": "BkwI6Uu0vi4", "keywords": "U03_L2_T3_we1, Estimation, with, Decimals, CC_5_NBT_4", - "path": "/math/arithmetic/decimals/v/estimation-with-decimals/", + "path": "/math/arithmetic/decimals/decimal_rounding_estimation/v/estimation-with-decimals/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BkwI6Uu0vi4.mp4/BkwI6Uu0vi4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BkwI6Uu0vi4.mp4/BkwI6Uu0vi4.png", @@ -8273,7 +14501,7 @@ "duration": 1133, "youtube_id": "-eAzhBZgq28", "keywords": "Linear, algebra, function, inverse", - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Foramen Ovale and Ductus Arteriosus", + "duration": 853, + "youtube_id": "cgccQVcFLi4", + "keywords": "", + "path": "/science/healthcare-and-medicine/fetal-circulation/v/foramen-ovale-and-ductus-arteriosus/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/cgccQVcFLi4.mp4/cgccQVcFLi4.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/cgccQVcFLi4.mp4/cgccQVcFLi4.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cgccQVcFLi4.m3u8/cgccQVcFLi4.m3u8" + }, + "slug": "foramen-ovale-and-ductus-arteriosus", + "readable_id": "foramen-ovale-and-ductus-arteriosus" + }, "writing-proportions": { "kind": "Video", "description": "Setting up proportions to solve a word problem", - "title": "Writing Proportions", + "title": "Writing proportions", "duration": 351, "youtube_id": "96ZEmUbnuU8", "keywords": "algebra, math, proportions, ratios", - "path": "/math/algebra/rational-expressions/v/writing-proportions/", + "path": "/math/algebra/rational-expressions/ratios_algebra/v/writing-proportions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/96ZEmUbnuU8.mp4/96ZEmUbnuU8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/96ZEmUbnuU8.mp4/96ZEmUbnuU8.png", @@ -8650,21 +14910,21 @@ "slug": "frank-lloyd-wright--solomon-r--guggenheim-museum--new-york-city--1942-1959", "readable_id": "frank-lloyd-wright--solomon-r--guggenheim-museum--new-york-city--1942-1959" }, - 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"path": "/math/algebra/polynomials/v/subtracting-polynomials/", + "path": "/math/algebra/polynomials/polynomial_basics/v/subtracting-polynomials/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5ZdxnFspyP8.mp4/5ZdxnFspyP8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5ZdxnFspyP8.mp4/5ZdxnFspyP8.png", @@ -9361,7 +15637,7 @@ "duration": 773, "youtube_id": "vUOiOi-XaoQ", "keywords": "unemployment, economy, capacity, inflation, deflation", - "path": "/finance-economics/current-economics/v/unemployment/", + "path": "/science/core-finance/current-economics/unemployment-tutorial/v/unemployment/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/vUOiOi-XaoQ.mp4/vUOiOi-XaoQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vUOiOi-XaoQ.mp4/vUOiOi-XaoQ.png", @@ -9425,7 +15701,7 @@ "duration": 452, "youtube_id": "RGMcswR8DnY", "keywords": "macroeconomics", - "path": "/finance-economics/macroeconomics/v/full-reserve-banking/", + "path": "/science/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut/v/full-reserve-banking/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/RGMcswR8DnY.mp4/RGMcswR8DnY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RGMcswR8DnY.mp4/RGMcswR8DnY.png", @@ -9434,21 +15710,21 @@ "slug": "full-reserve-banking", "readable_id": "full-reserve-banking" }, - 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"slug": "super-yoga-plans--basic-variables-and-equations", - "readable_id": "super-yoga-plans--basic-variables-and-equations" + "slug": "difference-of-functions", + "readable_id": "difference-of-functions" }, "collateralized-debt-obligation--cdo": { "kind": "Video", @@ -9457,7 +15733,7 @@ "duration": 582, "youtube_id": "XjoJ9UF2hqg", "keywords": "finance, CDO, MBS, khan, academy", - "path": "/finance-economics/credit-crisis/v/collateralized-debt-obligation--cdo/", + "path": "/science/core-finance/derivative-securities/CDO-tutorial/v/collateralized-debt-obligation--cdo/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XjoJ9UF2hqg.mp4/XjoJ9UF2hqg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XjoJ9UF2hqg.mp4/XjoJ9UF2hqg.png", @@ -9466,14 +15742,30 @@ "slug": "collateralized-debt-obligation--cdo", "readable_id": "collateralized-debt-obligation--cdo" }, + "are-southern-hemisphere-seasons-more-severe": { + "kind": "Video", + "description": "Are Southern Hemisphere seasons more severe because of the eccentricity in Earth's orbit?", + "title": "Are Southern Hemisphere Seasons More Severe?", + "duration": 437, + "youtube_id": "umvNQj-zmq4", + "keywords": "earth, ellipse, perihelion, aphelion, seasons, specific, heat", + "path": "/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/are-southern-hemisphere-seasons-more-severe/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/umvNQj-zmq4.mp4/umvNQj-zmq4.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/umvNQj-zmq4.mp4/umvNQj-zmq4.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/umvNQj-zmq4.m3u8/umvNQj-zmq4.m3u8" + }, + "slug": "are-southern-hemisphere-seasons-more-severe", + "readable_id": "are-southern-hemisphere-seasons-more-severe" + }, "plotting--x-y--relationships": { "kind": "Video", - "description": "u13_l1_t2_we1 Plotting (x,y) relationships t2", + "description": "Plotting (x,y) relationships t2", "title": "Plotting (x,y) relationships", "duration": 269, "youtube_id": "86NwKBcOlow", "keywords": "u13_l1_t2_we1 Plotting (x, y) relationships t2, CC_8_EE_7, CC_39336_A-REI_3", - "path": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane/v/plotting--x-y--relationships/", + "path": "/math/algebra/linear-equations-and-inequalitie/graphing_solutions2/v/plotting--x-y--relationships/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/86NwKBcOlow.mp4/86NwKBcOlow.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/86NwKBcOlow.mp4/86NwKBcOlow.png", @@ -9489,7 +15781,7 @@ "duration": 364, "youtube_id": "GFiizJ-jGVw", "keywords": "Entgegen-Zusammen, Naming, Scheme, for, Alkenes, Examples", - "path": "/science/organic-chemistry/v/entgegen-zusammen-naming-scheme-for-alkenes-examples/", + "path": "/science/organic-chemistry/alkenes-alkynes/naming-alkenes/v/entgegen-zusammen-naming-scheme-for-alkenes-examples/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GFiizJ-jGVw.mp4/GFiizJ-jGVw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GFiizJ-jGVw.mp4/GFiizJ-jGVw.png", @@ -9516,12 +15808,12 @@ }, "completing-the-square-4": { "kind": "Video", - 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"path": "/finance-economics/core-finance/v/basic-shorting/", + "path": "/science/core-finance/derivative-securities/put-call-options/v/basic-shorting/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jAOtWm_WZiE.mp4/jAOtWm_WZiE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jAOtWm_WZiE.mp4/jAOtWm_WZiE.png", @@ -9729,7 +15973,7 @@ "duration": 731, "youtube_id": "qihoczo1Ujk", "keywords": "arithmetic, multiplication, tables, CC_3_NBT_3", - "path": "/math/arithmetic/multiplication-division/v/multiplication-3--10-11-12-times-tables/", + "path": "/math/arithmetic/multiplication-division/multiplication_fun/v/multiplication-3--10-11-12-times-tables/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qihoczo1Ujk.mp4/qihoczo1Ujk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qihoczo1Ujk.mp4/qihoczo1Ujk.png", @@ -9745,7 +15989,7 @@ "duration": 464, "youtube_id": "2zoiW4PdVKo", "keywords": "sin, sine, graph, trig, trigonometry, khan, CC_39336_F-TF_2", - "path": "/math/trigonometry/v/graph-of-the-sine-function/", + "path": "/math/trigonometry/basic-trigonometry/trig_graphs_tutorial/v/graph-of-the-sine-function/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/2zoiW4PdVKo.mp4/2zoiW4PdVKo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2zoiW4PdVKo.mp4/2zoiW4PdVKo.png", @@ -9761,7 +16005,7 @@ "duration": 247, "youtube_id": "WFuLVSz6n8M", "keywords": "Put, Writer, Payoff, Diagrams", - "path": "/finance-economics/core-finance/v/put-writer-payoff-diagrams/", + "path": "/science/core-finance/derivative-securities/put-call-options/v/put-writer-payoff-diagrams/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/WFuLVSz6n8M.mp4/WFuLVSz6n8M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WFuLVSz6n8M.mp4/WFuLVSz6n8M.png", @@ -9777,7 +16021,7 @@ "duration": 556, "youtube_id": "w0nqd_HXHPQ", "keywords": "Math, units, metric, conversion, CC_5_MD_1", - "path": "/math/algebra/rational-expressions/v/unit-conversion/", + "path": "/math/arithmetic/rates-and-ratios/unit_conversion/v/unit-conversion/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/w0nqd_HXHPQ.mp4/w0nqd_HXHPQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w0nqd_HXHPQ.mp4/w0nqd_HXHPQ.png", @@ -9793,7 +16037,7 @@ "duration": 422, "youtube_id": "O3jvUZ8wvZs", "keywords": "radians, degrees", - "path": "/math/trigonometry/v/we-converting-degrees-to-radians/", + "path": "/math/trigonometry/basic-trigonometry/radians_tutorial/v/we-converting-degrees-to-radians/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/O3jvUZ8wvZs.mp4/O3jvUZ8wvZs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O3jvUZ8wvZs.mp4/O3jvUZ8wvZs.png", @@ -9809,7 +16053,7 @@ "duration": 562, "youtube_id": "U9dGHwsewNk", "keywords": "E1, Reactions, Elimination, Organic, Chemistry", - "path": "/science/organic-chemistry/v/e1-reactions/", + "path": "/science/organic-chemistry/substitution-elimination-reactions/elimination-reactions-tutorial/v/e1-reactions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/U9dGHwsewNk.mp4/U9dGHwsewNk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U9dGHwsewNk.mp4/U9dGHwsewNk.png", @@ -9914,21 +16158,37 @@ "slug": "sat-prep--test-4-section-8-part-4", "readable_id": "sat-prep--test-4-section-8-part-4" }, - "accrual-basis-of-accounting": { + "synthesis-of-alcohols-using-grignard-reagents-ii": { "kind": "Video", - 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Bit-zee's eyes", + "duration": 450, + "youtube_id": "lrIUaN_UKYs", + "keywords": "Bottle cap, eyes, LEDs, Arduino, make, hack, diy, bit-zee", + "path": "/science/projects/Bit-zee/v/bit-zee-s-eyes/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lrIUaN_UKYs.mp4/lrIUaN_UKYs.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/lrIUaN_UKYs.mp4/lrIUaN_UKYs.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lrIUaN_UKYs.m3u8/lrIUaN_UKYs.m3u8" + }, + "slug": "bit-zee-s-eyes", + "readable_id": "bit-zee-s-eyes" }, "adh-effects-on-blood-pressure": { "kind": "Video", @@ -9969,7 +16229,7 @@ "duration": 496, "youtube_id": "8i0j3j16yFk", "keywords": "newton, law, of, gravity, gravitational, constant, mass, force", - "path": "/science/physics/mechanics/v/gravitation--part-2/", + "path": "/science/physics/newton-gravitation/gravity-newtonian/v/gravitation--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8i0j3j16yFk.mp4/8i0j3j16yFk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8i0j3j16yFk.mp4/8i0j3j16yFk.png", @@ -10012,12 +16272,12 @@ }, "introduction-to-l-hopital-s-rule": { "kind": "Video", - "description": "Introduction to L'Hopital's Rule", - "title": "Introduction to L'Hopital's Rule", + "description": "Introduction to L'H\u00f4pital's Rule", + "title": "Introduction to L'H\u00f4pital's Rule", "duration": 531, "youtube_id": "PdSzruR5OeE", "keywords": "l'hopital's, rule, limit, derivative", - "path": "/math/calculus/differential-calculus/v/introduction-to-l-hopital-s-rule/", + "path": "/math/calculus/derivative_applications/lhopital_rule/v/introduction-to-l-hopital-s-rule/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PdSzruR5OeE.mp4/PdSzruR5OeE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PdSzruR5OeE.mp4/PdSzruR5OeE.png", @@ -10065,7 +16325,7 @@ "duration": 738, "youtube_id": "6zixwWZ88tk", "keywords": "GraphsOfLinearEquations", - "path": "/math/algebra/ck12-algebra-1/v/graphing-using-intercepts/", + "path": "/math/algebra/linear-equations-and-inequalitie/graphing_with_intercepts/v/graphing-using-intercepts/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6zixwWZ88tk.mp4/6zixwWZ88tk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6zixwWZ88tk.mp4/6zixwWZ88tk.png", @@ -10076,12 +16336,12 @@ }, "factoring-difference-of-squares": { "kind": "Video", - "description": "u12_l2_t2_we2 Factoring difference of squares", - "title": "Factoring difference of squares", + "description": "Factoring difference of squares", + "title": "Example 1: Factoring difference of squares", "duration": 109, "youtube_id": "tvnOWIoeeaU", "keywords": "u12_l2_t2_we2, Factoring, difference, of, squares, CC_39336_A-SSE_1_a, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2, CC_39336_A-SSE_3", - "path": "/math/algebra/polynomials/v/factoring-difference-of-squares/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/v/factoring-difference-of-squares/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tvnOWIoeeaU.mp4/tvnOWIoeeaU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tvnOWIoeeaU.mp4/tvnOWIoeeaU.png", @@ -10097,7 +16357,7 @@ "duration": 523, "youtube_id": "ucAUriWEFo8", "keywords": "stock, short, covering, risk, sale, market, finance", - "path": "/finance-economics/core-finance/v/shorting-stock-2/", + "path": "/science/core-finance/stock-and-bonds/shorting-stock/v/shorting-stock-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ucAUriWEFo8.mp4/ucAUriWEFo8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ucAUriWEFo8.mp4/ucAUriWEFo8.png", @@ -10113,7 +16373,7 @@ "duration": 662, "youtube_id": "Q9t1LghwdGc", "keywords": "line, integral, conservative, field, vector, calculus", - "path": "/math/calculus/multivariable-calculus/v/example-of-closed-line-integral-of-conservative-field/", + "path": "/math/calculus/line_integrals_topic/line_integrals_vectors/v/example-of-closed-line-integral-of-conservative-field/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Q9t1LghwdGc.mp4/Q9t1LghwdGc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Q9t1LghwdGc.mp4/Q9t1LghwdGc.png", @@ -10129,7 +16389,7 @@ "duration": 728, "youtube_id": "6xvwyE67CeM", "keywords": "trig, implicit, derivative, calculus", - "path": "/math/calculus/differential-calculus/v/trig-implicit-differentiation-example/", + "path": "/math/calculus/differential-calculus/implicit_differentiation/v/trig-implicit-differentiation-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6xvwyE67CeM.mp4/6xvwyE67CeM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6xvwyE67CeM.mp4/6xvwyE67CeM.png", @@ -10145,7 +16405,7 @@ "duration": 553, "youtube_id": "emdHj6WodLw", "keywords": "velocity, acceleration, gravity, physics, math, khan", - "path": "/science/physics/mechanics/v/projectile-motion--part-2/", + "path": "/science/physics/one-dimensional-motion/old-projectile-motion/v/projectile-motion--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/emdHj6WodLw.mp4/emdHj6WodLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/emdHj6WodLw.mp4/emdHj6WodLw.png", @@ -10177,7 +16437,7 @@ "duration": 923, "youtube_id": "6yrPU8rYOhs", "keywords": "preimage, kernel", - "path": "/math/linear-algebra/v/preimage-and-kernel-example/", + "path": "/math/linear-algebra/matrix_transformations/linear_transformations/v/preimage-and-kernel-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6yrPU8rYOhs.mp4/6yrPU8rYOhs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6yrPU8rYOhs.mp4/6yrPU8rYOhs.png", @@ -10188,12 +16448,12 @@ }, "reciprocal-of-a-mixed-number": { "kind": "Video", - "description": "U02_L2_T3_we1 Reciprocal of a Mixed Number", + "description": "Reciprocal of a Mixed Number", "title": "Reciprocal of a Mixed Number", "duration": 101, "youtube_id": "6YYiiixYz9A", "keywords": "U02_L2_T3_we1, Reciprocal, of, Mixed, Number, CC_5_NF_6, CC_6_NS_1", - "path": "/math/arithmetic/fractions/v/reciprocal-of-a-mixed-number/", + "path": "/math/arithmetic/fractions/mixed_number_mult_div/v/reciprocal-of-a-mixed-number/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6YYiiixYz9A.mp4/6YYiiixYz9A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6YYiiixYz9A.mp4/6YYiiixYz9A.png", @@ -10209,7 +16469,7 @@ "duration": 425, "youtube_id": "3_DxJwDTbyQ", "keywords": "direct, inverse, variation", - "path": "/math/algebra/algebra-functions/v/recognizing-direct-and-inverse-variation/", + "path": "/math/algebra/algebra-functions/direct_inverse_variation/v/recognizing-direct-and-inverse-variation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3_DxJwDTbyQ.mp4/3_DxJwDTbyQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3_DxJwDTbyQ.mp4/3_DxJwDTbyQ.png", @@ -10250,6 +16510,22 @@ "slug": "cahsee-practice--problems-32-34", "readable_id": "cahsee-practice--problems-32-34" }, + "sat-prep--test-6-section-7-part-3": { + "kind": "Video", + "description": "Problems 10-13 starting on page 735", + "title": "SAT Prep: Test 6 Section 7 Part 3", + "duration": 566, + "youtube_id": "wXQrhgpMI0o", + "keywords": "Math, SAT, Prep", + "path": "/test-prep/sat-math/v/sat-prep--test-6-section-7-part-3/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wXQrhgpMI0o.mp4/wXQrhgpMI0o.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/wXQrhgpMI0o.mp4/wXQrhgpMI0o.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wXQrhgpMI0o.m3u8/wXQrhgpMI0o.m3u8" + }, + "slug": "sat-prep--test-6-section-7-part-3", + "readable_id": "sat-prep--test-6-section-7-part-3" + }, "michelangelo--laurentian-library--1524-71": { "kind": "Video", "description": "Michelangelo, Laurentian Library (vestibule and reading room), begun 1524, opened 1571, \nSan Lorenzo, Florence", @@ -10289,7 +16565,7 @@ "duration": 874, "youtube_id": "3-xfmbdzkqc", "keywords": "eigenvalue, eigenvector, eigenspace", - "path": "/math/linear-algebra/v/linear-algebra---finding-eigenvectors-and-eigenspaces-example/", + "path": "/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra---finding-eigenvectors-and-eigenspaces-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3-xfmbdzkqc.mp4/3-xfmbdzkqc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3-xfmbdzkqc.mp4/3-xfmbdzkqc.png", @@ -10314,30 +16590,14 @@ "slug": "sat-prep--test-6-section-7-part-2", "readable_id": "sat-prep--test-6-section-7-part-2" }, - "market-capitalization": { - "kind": "Video", - "description": "Market versus book value of equity", - "title": "Market Capitalization", - "duration": 190, - "youtube_id": "5lmHzAHbtzg", - "keywords": "market, cap, book, value, investing", - "path": "/finance-economics/core-finance/v/market-capitalization/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5lmHzAHbtzg.mp4/5lmHzAHbtzg.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/5lmHzAHbtzg.mp4/5lmHzAHbtzg.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5lmHzAHbtzg.m3u8/5lmHzAHbtzg.m3u8" - }, - "slug": "market-capitalization", - "readable_id": "market-capitalization" - }, "quadrilateral-properties": { "kind": "Video", - "description": "u07_l2_t1_we1 Quadrilateral Properties", + "description": "Quadrilateral Properties", "title": "Quadrilateral Properties", "duration": 307, "youtube_id": "5CeBlu260Rw", "keywords": "u07_l2_t1_we1, Quadrilateral, Properties", - "path": "/math/geometry/polygons-quads-parallelograms/v/quadrilateral-properties/", + "path": "/math/geometry/quadrilaterals-and-polygons/v/quadrilateral-properties/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.mp4/5CeBlu260Rw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5CeBlu260Rw.mp4/5CeBlu260Rw.png", @@ -10401,7 +16661,7 @@ "duration": 598, "youtube_id": "VnTlKcIigyY", "keywords": "limited, liability, corporations", - "path": "/finance-economics/core-finance/v/corporations-and-limited-liability/", + "path": "/science/core-finance/taxes-topic/corporate-taxation/v/corporations-and-limited-liability/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VnTlKcIigyY.mp4/VnTlKcIigyY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VnTlKcIigyY.mp4/VnTlKcIigyY.png", @@ -10428,12 +16688,12 @@ }, "multiplying-complex-numbers": { "kind": "Video", - "description": "u16_l4_t2_we3 Multiplying Complex Numbers", + "description": "Multiplying Complex Numbers", "title": "Multiplying Complex Numbers", "duration": 332, "youtube_id": "cWn6g8Qqvs4", "keywords": "u16_l4_t2_we3, Multiplying, Complex, Numbers", - "path": "/math/algebra/complex-numbers/v/multiplying-complex-numbers/", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc/v/multiplying-complex-numbers/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/cWn6g8Qqvs4.mp4/cWn6g8Qqvs4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cWn6g8Qqvs4.mp4/cWn6g8Qqvs4.png", @@ -10449,7 +16709,7 @@ "duration": 438, "youtube_id": "_LDR1_Prveo", "keywords": "algebra, kwarizmi, diophantus, brahmagupta, marquee", - "path": "/math/algebra/introduction-to-algebra/v/origins-of-algebra/", + "path": "/math/algebra/introduction-to-algebra/overview_hist_alg/v/origins-of-algebra/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_LDR1_Prveo.mp4/_LDR1_Prveo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_LDR1_Prveo.mp4/_LDR1_Prveo.png", @@ -10476,12 +16736,12 @@ }, "area-of-a-circle": { "kind": "Video", - "description": "u07_l2_t3_we3 Area of a Circle", + "description": "Area of a Circle", "title": "Area of a Circle", "duration": 242, "youtube_id": "ZyOhRgnFmIY", "keywords": "u07_l2_t3_we3, Area, of, Circle", - "path": "/math/geometry/circles-topic/v/area-of-a-circle/", + "path": "/math/geometry/circles/v/area-of-a-circle/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZyOhRgnFmIY.mp4/ZyOhRgnFmIY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZyOhRgnFmIY.mp4/ZyOhRgnFmIY.png", @@ -10497,7 +16757,7 @@ "duration": 172, "youtube_id": "WY6QG0mZ7uQ", "keywords": "linear, algebra, determinant", - "path": "/math/linear-algebra/v/linear-algebra---correction--scalar-muliplication-of-row/", + "path": "/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra---correction--scalar-muliplication-of-row/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/WY6QG0mZ7uQ.mp4/WY6QG0mZ7uQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WY6QG0mZ7uQ.mp4/WY6QG0mZ7uQ.png", @@ -10508,12 +16768,12 @@ }, "natural-logarithm-with-a-calculator": { "kind": "Video", - "description": "u18_l3_t1_we1 Natural Logarithm with a Calculator", + "description": "Natural Logarithm with a Calculator", "title": "Natural Logarithm with a Calculator", "duration": 217, "youtube_id": "Dpo_-GrMpNE", "keywords": "u18_l3_t1_we1, Natural, Logarithm, with, Calculator", - "path": "/math/algebra/logarithms-tutorial/v/natural-logarithm-with-a-calculator/", + "path": "/math/algebra/logarithms-tutorial/natural_logarithm/v/natural-logarithm-with-a-calculator/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dpo_-GrMpNE.mp4/Dpo_-GrMpNE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dpo_-GrMpNE.mp4/Dpo_-GrMpNE.png", @@ -10556,7 +16816,7 @@ }, "simplifying-expressions-with-exponents-2": { "kind": "Video", - "description": "U07_L1_T3_we2 Simplifying Expressions with Exponents 2", + "description": "Simplifying Expressions with Exponents 2", "title": "Simplifying Expressions with Exponents 2", "duration": 215, "youtube_id": "xnLcxdM8OD8", @@ -10572,7 +16832,7 @@ }, "simplifying-expressions-with-exponents-3": { "kind": "Video", - "description": "U07_L1_T3_we3 Simplifying Expressions with Exponents 3", + "description": "Simplifying Expressions with Exponents 3", "title": "Simplifying Expressions with Exponents 3", "duration": 151, "youtube_id": "zwUnRQbWPJU", @@ -10609,7 +16869,7 @@ "duration": 534, "youtube_id": "v3kKCoIhyDM", "keywords": "sine, cosine, tangent", - "path": "/math/trigonometry/v/example-unit-circ-def/", + "path": "/math/trigonometry/basic-trigonometry/unit_circle_tut/v/example-unit-circ-def/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/v3kKCoIhyDM.mp4/v3kKCoIhyDM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v3kKCoIhyDM.mp4/v3kKCoIhyDM.png", @@ -10625,7 +16885,7 @@ "duration": 565, "youtube_id": "NJRyxmommqQ", "keywords": "", - "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/v/inconsistent-systems-of-equations/", + "path": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc/v/inconsistent-systems-of-equations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NJRyxmommqQ.mp4/NJRyxmommqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NJRyxmommqQ.mp4/NJRyxmommqQ.png", @@ -10641,7 +16901,7 @@ "duration": 636, "youtube_id": "W7DmsJKLoxc", "keywords": "probability, combinations, basketball", - "path": "/math/probability/v/probability-and-combinations--part-2/", + "path": "/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/probability-and-combinations--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/W7DmsJKLoxc.mp4/W7DmsJKLoxc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W7DmsJKLoxc.mp4/W7DmsJKLoxc.png", @@ -10657,7 +16917,7 @@ "duration": 1039, "youtube_id": "otstXFxMkl4", "keywords": "fractional, reserve, banking", - "path": "/finance-economics/banking-and-money/v/frb-commentary-2--deposit-insurance/", + "path": "/science/core-finance/money-and-banking/banking-and-money/v/frb-commentary-2--deposit-insurance/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/otstXFxMkl4.mp4/otstXFxMkl4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/otstXFxMkl4.mp4/otstXFxMkl4.png", @@ -10673,7 +16933,7 @@ "duration": 357, "youtube_id": "BMNj7-Okclk", "keywords": "macroeconomics, Gross Domestic Product", - "path": "/finance-economics/macroeconomics/v/examples-of-accounting-for-gdp/", + "path": "/science/macroeconomics/gdp-topic/GDP-components-tutorial/v/examples-of-accounting-for-gdp/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BMNj7-Okclk.mp4/BMNj7-Okclk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BMNj7-Okclk.mp4/BMNj7-Okclk.png", @@ -10682,21 +16942,21 @@ "slug": "examples-of-accounting-for-gdp", "readable_id": "examples-of-accounting-for-gdp" }, - "solving-3-equations-with-3-unknowns": { + "linear-algebra--upper-triangular-determinant": { "kind": "Video", - "description": "Solving 3 equations with 3 unknowns (old video from July 2008)", - "title": "Solving 3 Equations with 3 Unknowns", - "duration": 926, - "youtube_id": "woqq3Sls1d8", - "keywords": "linear, algebra, system, of, equations", - "path": "/math/linear-algebra/v/solving-3-equations-with-3-unknowns/", + "description": "The determinant of an upper triangular matrix", + "title": "Upper Triangular Determinant", + "duration": 487, + "youtube_id": "VX7K8iqoiRc", + "keywords": "linear, algebra, determinant", + "path": "/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra--upper-triangular-determinant/", "download_urls": { - 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"description": "u03_l1_t1_we4 Converting Fractions to Decimals", + "description": "Converting Fractions to Decimals", "title": "Converting Fractions to Decimals Example", "duration": 137, "youtube_id": "Y1V5mZaMfTk", "keywords": "u03_l1_t1_we4, Converting, Fractions, to, Decimals", - "path": "/math/arithmetic/decimals/v/converting-fractions-to-decimals-example/", + "path": "/math/arithmetic/fractions/decimals_fractions/v/converting-fractions-to-decimals-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Y1V5mZaMfTk.mp4/Y1V5mZaMfTk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Y1V5mZaMfTk.mp4/Y1V5mZaMfTk.png", @@ -10769,7 +17029,7 @@ "duration": 543, "youtube_id": "jiJdNWzETSk", "keywords": "Naming, Alkyl, Halides", - "path": "/science/organic-chemistry/v/naming-alkyl-halides/", + "path": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/v/naming-alkyl-halides/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jiJdNWzETSk.mp4/jiJdNWzETSk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jiJdNWzETSk.mp4/jiJdNWzETSk.png", @@ -10780,12 +17040,12 @@ }, "graphing-natural-logarithm-function": { "kind": "Video", - "description": "u18_l3_t1_we2 Graphing Natural Logarithm Function", + "description": "Graphing Natural Logarithm Function", "title": "Graphing Natural Logarithm Function", "duration": 553, "youtube_id": "xmjy-0TxgI8", "keywords": "u18_l3_t1_we2, Graphing, Natural, Logarithm, Function", - "path": "/math/algebra/logarithms-tutorial/v/graphing-natural-logarithm-function/", + "path": "/math/algebra/logarithms-tutorial/natural_logarithm/v/graphing-natural-logarithm-function/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xmjy-0TxgI8.mp4/xmjy-0TxgI8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xmjy-0TxgI8.mp4/xmjy-0TxgI8.png", @@ -10796,12 +17056,12 @@ }, "multi-step-equations-1": { "kind": "Video", - "description": "u10_l1_t2_we1 Multi-step equations 1", - "title": "Multi-step equations 1", + "description": "Multi-step equations 1", + "title": "Example 1: Variables on both sides", "duration": 273, "youtube_id": "CGS0vihzSlc", "keywords": "u10_l1_t2_we1, Multi-step, equations, CC_6_EE_2, CC_6_EE_2_c", - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Bohr Effect vs. Haldane Effect", + "duration": 833, + "youtube_id": "dHi9ctwDUnc", + "keywords": "", + "path": "/science/healthcare-and-medicine/blood/v/bohr-effect-vs--haldane-effect/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/nL-NSia0HiA.mp4/nL-NSia0HiA.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/nL-NSia0HiA.mp4/nL-NSia0HiA.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nL-NSia0HiA.m3u8/nL-NSia0HiA.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dHi9ctwDUnc.mp4/dHi9ctwDUnc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/dHi9ctwDUnc.mp4/dHi9ctwDUnc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dHi9ctwDUnc.m3u8/dHi9ctwDUnc.m3u8" }, - "slug": "gmat--data-sufficiency-8", - "readable_id": "gmat--data-sufficiency-8" + "slug": "bohr-effect-vs--haldane-effect", + "readable_id": "bohr-effect-vs--haldane-effect" }, "multi-step-equations-2": { "kind": "Video", - "description": "u10_l1_t2_we2 Multi-step equations 2", - "title": "Multi-step equations 2", + "description": "Multi-step equations 2", + "title": "Ex 2: Distributive property to simplify ", "duration": 346, "youtube_id": "CJyVct57-9s", "keywords": "u10_l1_t2_we2, Multi-step, equations, CC_6_EE_2, CC_6_EE_2_c, CC_6_EE_3, CC_8_EE_7_b", - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/multi-step-equations-2/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/multi-step-equations-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/CJyVct57-9s.mp4/CJyVct57-9s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CJyVct57-9s.mp4/CJyVct57-9s.png", @@ -10844,7 +17104,7 @@ }, "simplifying-radical-expressions1": { "kind": "Video", - "description": "U07_L3_T1_we1 Simplifying Radical Expressions1", + "description": "Simplifying Radical Expressions1", "title": "Simplifying Radical Expressions1", "duration": 157, "youtube_id": "drhoIgAhlQM", @@ -10881,7 +17141,7 @@ "duration": 481, "youtube_id": "D1eibbfAEVk", "keywords": "geology, mantle, plume, marquee", - "path": "/science/cosmology-and-astronomy/v/hawaiian-islands-formation/", + "path": "/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/hawaiian-islands-formation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/D1eibbfAEVk.mp4/D1eibbfAEVk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D1eibbfAEVk.mp4/D1eibbfAEVk.png", @@ -10913,7 +17173,7 @@ "duration": 190, "youtube_id": "cNm196bVE5A", "keywords": "finance, inflation", - "path": "/finance-economics/macroeconomics/v/real-and-nominal-return/", + "path": "/science/macroeconomics/inflation-topic/real-nominal-return-tutorial/v/real-and-nominal-return/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/cNm196bVE5A.mp4/cNm196bVE5A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cNm196bVE5A.mp4/cNm196bVE5A.png", @@ -10945,7 +17205,7 @@ "duration": 679, "youtube_id": "RFn-IGlayAg", "keywords": "geology", - "path": "/math/algebra/logarithms-tutorial/v/richter-scale/", + "path": "/math/algebra/logarithms-tutorial/logarithm_properties/v/richter-scale/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/RFn-IGlayAg.mp4/RFn-IGlayAg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RFn-IGlayAg.mp4/RFn-IGlayAg.png", @@ -10961,7 +17221,7 @@ "duration": 588, "youtube_id": "27Kp7HJYj2c", "keywords": "Math, addition, carrying, khan, academy, CC_1_OA_6", - 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"path": "/science/cosmology-and-astronomy/v/how-earth-s-tilt-causes-seasons/", + "path": "/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/how-earth-s-tilt-causes-seasons/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/05qDIjKevJo.mp4/05qDIjKevJo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/05qDIjKevJo.mp4/05qDIjKevJo.png", @@ -11089,7 +17349,7 @@ "duration": 596, "youtube_id": "GtaoP0skPWc", "keywords": "math, finance, interest, simple, compound, CC_7_RP_3, CC_39336_A-SSE_3_c", - "path": "/finance-economics/core-finance/v/introduction-to-interest/", + "path": "/science/core-finance/interest-tutorial/interest-basics-tutorial/v/introduction-to-interest/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GtaoP0skPWc.mp4/GtaoP0skPWc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GtaoP0skPWc.mp4/GtaoP0skPWc.png", @@ -11105,7 +17365,7 @@ "duration": 735, "youtube_id": "3nbalsyibKU", "keywords": "AD-AS, model, macroeconomics", - "path": "/finance-economics/macroeconomics/v/short-run-aggregate-supply/", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut/v/short-run-aggregate-supply/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3nbalsyibKU.mp4/3nbalsyibKU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3nbalsyibKU.mp4/3nbalsyibKU.png", @@ -11153,7 +17413,7 @@ "duration": 603, "youtube_id": "k5EbijWu-Ss", "keywords": "statistics, sample, population, average, mean, parameter, statistic, CC_6_SP_3, CC_7_SP_1, CC_7_SP_2", - "path": "/math/statistics/v/statistics--sample-vs--population-mean/", + "path": "/math/probability/descriptive-statistics/central_tendency/v/statistics--sample-vs--population-mean/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/k5EbijWu-Ss.mp4/k5EbijWu-Ss.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k5EbijWu-Ss.mp4/k5EbijWu-Ss.png", @@ -11169,7 +17429,7 @@ "duration": 768, "youtube_id": "JUgrBkPteTg", "keywords": "column, space, matrix, dimension, rank", - "path": "/math/linear-algebra/v/dimension-of-the-column-space-or-rank/", + "path": "/math/linear-algebra/vectors_and_spaces/null_column_space/v/dimension-of-the-column-space-or-rank/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/JUgrBkPteTg.mp4/JUgrBkPteTg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JUgrBkPteTg.mp4/JUgrBkPteTg.png", @@ -11185,7 +17445,7 @@ "duration": 591, "youtube_id": "yvW5l9W1hgE", "keywords": "Period, amplitude, sine, cosine, sin, cos, trigonometry, CC_39336_F-IF_7_e", - "path": "/math/trigonometry/v/determining-the-equation-of-a-trigonometric-function/", + "path": "/math/trigonometry/basic-trigonometry/trig_graphs_tutorial/v/determining-the-equation-of-a-trigonometric-function/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/yvW5l9W1hgE.mp4/yvW5l9W1hgE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yvW5l9W1hgE.mp4/yvW5l9W1hgE.png", @@ -11201,7 +17461,7 @@ "duration": 589, "youtube_id": "fGThIRpWEE4", "keywords": "Multiplication, of, Polynomials, CC_39336_A-APR_1", - 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"path": "/science/organic-chemistry/v/r-s--cahn-ingold-prelog--naming-system-example-2/", + "path": "/science/organic-chemistry/stereochemistry-topic/chirality-r-s-system/v/r-s--cahn-ingold-prelog--naming-system-example-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/peQsBg9P4ms.mp4/peQsBg9P4ms.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/peQsBg9P4ms.mp4/peQsBg9P4ms.png", @@ -12412,12 +18704,12 @@ }, "u06-l3-t1-we3-graphing-systems-of-inequalities": { "kind": "Video", - "description": "U06_L3_T1_we3 Graphing Systems of Inequalities", - "title": "U06_L3_T1_we3 Graphing Systems of Inequalities", + "description": "Graphing Systems of Inequalities", + "title": "Graphing Systems of Inequalities", "duration": 585, "youtube_id": "BUmLw5m6F9s", "keywords": "U06, L3, T1, we3, Graphing, Systems, of, Inequalities, CC_39336_A-REI_12", - "path": "/math/algebra/systems-of-eq-and-ineq/system-of-inequalities/v/u06-l3-t1-we3-graphing-systems-of-inequalities/", + "path": "/math/trigonometry/systems_eq_ineq/systems_inequalities_precalc/v/u06-l3-t1-we3-graphing-systems-of-inequalities/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BUmLw5m6F9s.mp4/BUmLw5m6F9s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BUmLw5m6F9s.mp4/BUmLw5m6F9s.png", @@ -12433,7 +18725,7 @@ "duration": 800, "youtube_id": "sZRkERfzzn4", "keywords": "obama, stimulus, inflation, deflation", - "path": "/finance-economics/current-economics/v/inflation---deflation-3--obama-stimulus-plan/", + "path": "/science/core-finance/inflation-tutorial/cap-util-inflation/v/inflation---deflation-3--obama-stimulus-plan/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/sZRkERfzzn4.mp4/sZRkERfzzn4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sZRkERfzzn4.mp4/sZRkERfzzn4.png", @@ -12449,7 +18741,7 @@ "duration": 593, "youtube_id": "XEblO51pF5I", "keywords": "algebra, functions, math, CC_39336_F-IF_7_b", - "path": "/math/algebra/algebra-functions/v/functions-part-2/", + "path": "/math/trigonometry/functions_and_graphs/function_introduction/v/functions-part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XEblO51pF5I.mp4/XEblO51pF5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XEblO51pF5I.mp4/XEblO51pF5I.png", @@ -12481,7 +18773,7 @@ "duration": 684, "youtube_id": "QLOssxcOXWo", "keywords": "unit circle, trigonometry, sin, cos, tan", - "path": "/math/trigonometry/v/finding-trig-function-values-using-unit-circle-definition/", + "path": "/math/trigonometry/basic-trigonometry/unit_circle_tut/v/finding-trig-function-values-using-unit-circle-definition/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QLOssxcOXWo.mp4/QLOssxcOXWo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QLOssxcOXWo.mp4/QLOssxcOXWo.png", @@ -12497,7 +18789,7 @@ "duration": 659, "youtube_id": "_7VHfuWV-Qg", "keywords": "ceteris, paribus, tradeoffs", - "path": "/finance-economics/microeconomics/v/production-possibilities-frontier/", + "path": "/science/microeconomics/choices-opp-cost-tutorial/production-possibilities/v/production-possibilities-frontier/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_7VHfuWV-Qg.mp4/_7VHfuWV-Qg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_7VHfuWV-Qg.mp4/_7VHfuWV-Qg.png", @@ -12506,21 +18798,21 @@ "slug": "production-possibilities-frontier", "readable_id": "production-possibilities-frontier" }, - 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"slug": "keto-enol-tautomerization", - "readable_id": "keto-enol-tautomerization" + "slug": "meso-compounds", + "readable_id": "meso-compounds" }, "the-angle-game": { "kind": "Video", @@ -12561,7 +18853,7 @@ "duration": 667, "youtube_id": "F7r7l1VG-Tw", "keywords": "money, multiplier, m0, m1, supply, banking, fed, reserve", - "path": "/finance-economics/banking-and-money/v/banking-4--multiplier-effect-and-the-money-supply/", + "path": "/science/core-finance/money-and-banking/banking-and-money/v/banking-4--multiplier-effect-and-the-money-supply/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/F7r7l1VG-Tw.mp4/F7r7l1VG-Tw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F7r7l1VG-Tw.mp4/F7r7l1VG-Tw.png", @@ -12572,12 +18864,12 @@ }, "factoring-special-products-2": { "kind": "Video", - "description": "U09_L2_T1_we2 Factoring Special Products 2", - "title": "Factoring Special Products 2", + "description": "Factoring Special Products 2", + "title": "Example: Factoring a fourth degree expression", "duration": 145, "youtube_id": "o-ZbdYVGehI", "keywords": "U09_L2_T1_we2, Factoring, Special, Products, CC_39336_A-SSE_2", - "path": "/math/algebra/polynomials/v/factoring-special-products-2/", + "path": "/math/algebra/quadratics/factoring_quadratics/v/factoring-special-products-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/o-ZbdYVGehI.mp4/o-ZbdYVGehI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/o-ZbdYVGehI.mp4/o-ZbdYVGehI.png", @@ -12602,22 +18894,6 @@ "slug": "dal---metamorphosis-of-narcissus--1937", "readable_id": "dal---metamorphosis-of-narcissus--1937" }, - "hedge-fund-strategies---merger-arbitrage-1": { - "kind": "Video", - "description": "Simple case of merger arbitrage when there is an all cash acquisition", - "title": "Hedge Fund Strategies - Merger Arbitrage 1", - "duration": 301, - "youtube_id": "3qP8OOr7pfI", - "keywords": "finance, accounting, capital, markets", - "path": "/finance-economics/core-finance/v/hedge-fund-strategies---merger-arbitrage-1/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3qP8OOr7pfI.mp4/3qP8OOr7pfI.mp4", - 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"path": "/finance-economics/core-finance/v/more-on-quantitative-easing--and-credit-easing/", + "path": "/science/core-finance/money-and-banking/federal-reserve/v/more-on-quantitative-easing--and-credit-easing/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZrKw-SLzNrw.mp4/ZrKw-SLzNrw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZrKw-SLzNrw.mp4/ZrKw-SLzNrw.png", @@ -12666,37 +18942,21 @@ "slug": "more-on-quantitative-easing--and-credit-easing", "readable_id": "more-on-quantitative-easing--and-credit-easing" }, - "work-done-by-isothermic-process": { - "kind": "Video", - "description": "Isothermic and Adiabatic processes. 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Calculate your own Body Mass Index", + "duration": 441, + "youtube_id": "5RXRr8PKunk", + "keywords": "", + "path": "/science/healthcare-and-medicine/healthy-lifestyle/v/calculate-your-own-body-mass-index/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/awzOvyMKeMA.mp4/awzOvyMKeMA.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/awzOvyMKeMA.mp4/awzOvyMKeMA.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/awzOvyMKeMA.m3u8/awzOvyMKeMA.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5RXRr8PKunk.mp4/5RXRr8PKunk.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/5RXRr8PKunk.mp4/5RXRr8PKunk.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5RXRr8PKunk.m3u8/5RXRr8PKunk.m3u8" }, - "slug": "solving-for-time", - "readable_id": "solving-for-time" + "slug": "calculate-your-own-body-mass-index", + "readable_id": "calculate-your-own-body-mass-index" }, "2011-calculus-ab-free-response--4d": { "kind": "Video", @@ -12817,7 +19077,7 @@ "duration": 346, "youtube_id": "yX3JpmEgNHo", "keywords": "AP, advanced, placement, calculus", - 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"path": "/finance-economics/venture-capital-and-capital-markets/v/getting-a-seed-round-from-a-vc/", + "path": "/science/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/getting-a-seed-round-from-a-vc/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-hJj5NpWUXQ.mp4/-hJj5NpWUXQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-hJj5NpWUXQ.mp4/-hJj5NpWUXQ.png", @@ -13137,7 +19445,7 @@ "duration": 682, "youtube_id": "N4nrdf0yYfM", "keywords": "algebra, decartes, cartesian, coordinates", - "path": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane/v/descartes-and-cartesian-coordinates/", + "path": "/math/trigonometry/graphs/graphing_coordinates/v/descartes-and-cartesian-coordinates/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/N4nrdf0yYfM.mp4/N4nrdf0yYfM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N4nrdf0yYfM.mp4/N4nrdf0yYfM.png", @@ -13153,7 +19461,7 @@ "duration": 577, "youtube_id": "rLNM8zI4Q_M", "keywords": "physics, light, quantum, photon, speed", - 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"description": "u11_l2_t4_we1 Special Polynomials Products 1", + "description": "Special Polynomials Products 1", "title": "Special Polynomials Products 1", "duration": 149, "youtube_id": "h6HmHjkA034", "keywords": "u11_l2_t4_we1, Special, Polynomials, Products, CC_39336_A-APR_1", - "path": "/math/algebra/polynomials/v/special-polynomials-products-1/", + "path": "/math/algebra/polynomials/multiplying_polynomials/v/special-polynomials-products-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/h6HmHjkA034.mp4/h6HmHjkA034.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/h6HmHjkA034.mp4/h6HmHjkA034.png", @@ -14186,6 +20638,22 @@ "slug": "special-polynomials-products-1", "readable_id": "special-polynomials-products-1" }, + "alkane-and-cycloalkane-nomenclature-i": { + "kind": "Video", + "description": "", + "title": "alkane and cycloalkane nomenclature I", + "duration": 761, + "youtube_id": "F8RCR_1jIAk", + "keywords": "", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes-cycloalkanes-bicyclic/v/alkane-and-cycloalkane-nomenclature-i/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/F8RCR_1jIAk.mp4/F8RCR_1jIAk.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/F8RCR_1jIAk.mp4/F8RCR_1jIAk.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F8RCR_1jIAk.m3u8/F8RCR_1jIAk.m3u8" + }, + "slug": "alkane-and-cycloalkane-nomenclature-i", + "readable_id": "alkane-and-cycloalkane-nomenclature-i" + }, "linear-algebra--proof-of-formula-for-determining-eigenvalues": { "kind": "Video", "description": "Proof of formula for determining Eigenvalues", @@ -14193,7 +20661,7 @@ "duration": 559, "youtube_id": "rfm0wQObxjk", "keywords": "eigenvectors, eigenvalues", - "path": "/math/linear-algebra/v/linear-algebra--proof-of-formula-for-determining-eigenvalues/", + "path": "/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra--proof-of-formula-for-determining-eigenvalues/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/rfm0wQObxjk.mp4/rfm0wQObxjk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rfm0wQObxjk.mp4/rfm0wQObxjk.png", @@ -14202,6 +20670,22 @@ "slug": "linear-algebra--proof-of-formula-for-determining-eigenvalues", "readable_id": "linear-algebra--proof-of-formula-for-determining-eigenvalues" }, + "the-yield-curve": { + "kind": "Video", + "description": "The Yield Curve", + "title": "The Yield Curve", + "duration": 256, + "youtube_id": "SwB9Fq5VRZY", + "keywords": "federal, reserve, yield, banking", + "path": "/science/core-finance/stock-and-bonds/bonds-tutorial/v/the-yield-curve/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SwB9Fq5VRZY.mp4/SwB9Fq5VRZY.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/SwB9Fq5VRZY.mp4/SwB9Fq5VRZY.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SwB9Fq5VRZY.m3u8/SwB9Fq5VRZY.m3u8" + }, + "slug": "the-yield-curve", + "readable_id": "the-yield-curve" + }, "probability-with-playing-cards-and-venn-diagrams": { "kind": "Video", "description": "Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7", @@ -14209,7 +20693,7 @@ "duration": 602, "youtube_id": "obZzOq_wSCg", "keywords": "math, chance, probability", - "path": "/math/probability/v/probability-with-playing-cards-and-venn-diagrams/", + "path": "/math/probability/independent-dependent-probability/addition_rule_probability/v/probability-with-playing-cards-and-venn-diagrams/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/obZzOq_wSCg.mp4/obZzOq_wSCg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/obZzOq_wSCg.mp4/obZzOq_wSCg.png", @@ -14220,12 +20704,12 @@ }, "quadrants-of-coordinate-plane": { "kind": "Video", - "description": "u13_l1_t1_we2 Quadrants of Coordinate Plane", + "description": "Quadrants of Coordinate Plane", "title": "Quadrants of Coordinate Plane", "duration": 144, "youtube_id": "1op92ojA6q0", "keywords": "u13_l1_t1_we2, Quadrants, of, Coordinate, Plane, CC_6_NS_6, CC_6_NS_6_b, CC_6_NS_6_c", - "path": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane/v/quadrants-of-coordinate-plane/", + "path": "/math/trigonometry/graphs/graphing_coordinates/v/quadrants-of-coordinate-plane/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1op92ojA6q0.mp4/1op92ojA6q0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1op92ojA6q0.mp4/1op92ojA6q0.png", @@ -14257,7 +20741,7 @@ "duration": 629, "youtube_id": "FEF6PxWOvsk", "keywords": "Gravity, Weak", - "path": "/science/cosmology-and-astronomy/v/four-fundamental-forces/", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/light-fundamental-forces/v/four-fundamental-forces/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/FEF6PxWOvsk.mp4/FEF6PxWOvsk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FEF6PxWOvsk.mp4/FEF6PxWOvsk.png", @@ -14273,7 +20757,7 @@ "duration": 687, "youtube_id": "mgNtPOgFje0", "keywords": "calculus, taylor, maclaurin", - "path": "/math/calculus/integral-calculus/v/euler-s-formula-and-euler-s-identity/", + "path": "/math/calculus/sequences_series_approx_calc/maclaurin_taylor/v/euler-s-formula-and-euler-s-identity/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/mgNtPOgFje0.mp4/mgNtPOgFje0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mgNtPOgFje0.mp4/mgNtPOgFje0.png", @@ -14282,22 +20766,6 @@ "slug": "euler-s-formula-and-euler-s-identity", "readable_id": "euler-s-formula-and-euler-s-identity" }, - 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"path": "/science/physics/mechanics/v/projectile-motion-with-ordered-set-notation/", + "path": "/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/projectile-motion-with-ordered-set-notation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jl_gQ-eL3xo.mp4/jl_gQ-eL3xo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jl_gQ-eL3xo.mp4/jl_gQ-eL3xo.png", @@ -14529,7 +20997,7 @@ "duration": 402, "youtube_id": "SUoqA9srY1Q", "keywords": "basis, orthonormal, projection, proj", - "path": "/math/linear-algebra/v/lin-alg--finding-projection-onto-subspace-with-orthonormal-basis-example/", + "path": "/math/linear-algebra/alternate_bases/orthonormal_basis/v/lin-alg--finding-projection-onto-subspace-with-orthonormal-basis-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SUoqA9srY1Q.mp4/SUoqA9srY1Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SUoqA9srY1Q.mp4/SUoqA9srY1Q.png", @@ -14538,6 +21006,22 @@ "slug": "lin-alg--finding-projection-onto-subspace-with-orthonormal-basis-example", "readable_id": "lin-alg--finding-projection-onto-subspace-with-orthonormal-basis-example" }, + "french-invasion-of-russia": { + "kind": "Video", + "description": "Napoleon's disastrous invasion of Russia", + "title": "French Invasion of Russia", + "duration": 999, + "youtube_id": "F_ySQvjtAxQ", + "keywords": "Napoleon, Russia, Invasion", + "path": "/humanities/history/euro-hist/napoleon-bonaparte/v/french-invasion-of-russia/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/F_ySQvjtAxQ.mp4/F_ySQvjtAxQ.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/F_ySQvjtAxQ.mp4/F_ySQvjtAxQ.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F_ySQvjtAxQ.m3u8/F_ySQvjtAxQ.m3u8" + }, + "slug": "french-invasion-of-russia", + "readable_id": "french-invasion-of-russia" + }, "august-sander--portraits": { "kind": "Video", "description": "Portraits by August Sander discussed:\nPastry Cook, gelatin silver print, 1928\nSecretary at a Radio Station, Cologne, gelatin silver print, c. 1931\nDisabled Man, gelatin silver print, 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Beth Harris, Dr. Steven Zucker", @@ -14561,7 +21045,7 @@ "duration": 714, "youtube_id": "m28RAgUySGQ", "keywords": "venture, capital, financing, series", - "path": "/finance-economics/venture-capital-and-capital-markets/v/going-back-to-the-till--series-b/", + "path": "/science/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/going-back-to-the-till--series-b/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/m28RAgUySGQ.mp4/m28RAgUySGQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m28RAgUySGQ.mp4/m28RAgUySGQ.png", @@ -14572,12 +21056,12 @@ }, "multi-step-inequalities-2": { "kind": "Video", - "description": "u10_l2_t2_we2 Multi-Step Inequalities 2", + "description": "Multi-Step Inequalities 2", "title": "Multi-Step Inequalities 2", "duration": 227, "youtube_id": "XOAn5z8mkvI", "keywords": "u10_l2_t2_we2, Multi-Step, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4, CC_39336_A-CED_1, CC_39336_A-CED_3", - "path": "/math/algebra/solving-linear-equations-and-inequalities/inequalities/v/multi-step-inequalities-2/", + "path": "/math/algebra/linear_inequalities/inequalities/v/multi-step-inequalities-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XOAn5z8mkvI.mp4/XOAn5z8mkvI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XOAn5z8mkvI.mp4/XOAn5z8mkvI.png", @@ -14588,12 +21072,12 @@ }, "domain-of-a-radical-function": { "kind": "Video", - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Pressure in the Left Heart - Part 2", + "duration": 764, + "youtube_id": "QM4f1vos6Vk", + "keywords": "", + "path": "/science/healthcare-and-medicine/pressure-volume-loops/v/pressure-in-the-left-heart---part-2/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QM4f1vos6Vk.mp4/QM4f1vos6Vk.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/QM4f1vos6Vk.mp4/QM4f1vos6Vk.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QM4f1vos6Vk.m3u8/QM4f1vos6Vk.m3u8" + }, + "slug": "pressure-in-the-left-heart---part-2", + "readable_id": "pressure-in-the-left-heart---part-2" + }, "iit-jee-trigonometric-constraints": { "kind": "Video", "description": "2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints", @@ -14957,11 +21489,11 @@ "periodic-definite-integral": { "kind": "Video", "description": "2010 IIT JEE Paper 1 Problem 52 Periodic Definite Integral. The second term at about minute 14 should have a positive sign. Luckily, it doesn't effect the final answer!", - "title": "Periodic Definite Integral", + "title": "Challenging definite integration", "duration": 943, "youtube_id": "CZdziIlYIfI", "keywords": "2010, IIT, JEE, Paper, Problem, 52, Periodic, Definite, Integral, integration, by, parts", - "path": "/math/calculus/integral-calculus/v/periodic-definite-integral/", + "path": "/math/calculus/integral-calculus/definite_integrals/v/periodic-definite-integral/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/CZdziIlYIfI.mp4/CZdziIlYIfI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CZdziIlYIfI.mp4/CZdziIlYIfI.png", @@ -14970,21 +21502,21 @@ "slug": "periodic-definite-integral", "readable_id": "periodic-definite-integral" }, - "gmat-math--1": { + "tetrahedral-bond-angle-proof": { "kind": "Video", - "description": "1-6, pg. 152", - "title": "GMAT Math: 1", - "duration": 593, - "youtube_id": "jciijU8Mj_Y", - "keywords": "GMAT, math, problem, solving", - "path": "/test-prep/gmat/problem-solving/v/gmat-math--1/", + "description": "", + "title": "tetrahedral bond angle proof", + "duration": 306, + "youtube_id": "2UTr46btzaY", + "keywords": "", + "path": "/science/organic-chemistry/gen-chem-review/hybrid-orbitals-tutorial/v/tetrahedral-bond-angle-proof/", "download_urls": { - 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"path": "/finance-economics/core-finance/v/interpretting-futures-fair-value-in-the-premarket/", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/interpretting-futures-fair-value-in-the-premarket/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/owcmu4XxrHM.mp4/owcmu4XxrHM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/owcmu4XxrHM.mp4/owcmu4XxrHM.png", @@ -15329,7 +21845,7 @@ "duration": 854, "youtube_id": "iUQR0enP7RQ", "keywords": "matrix, inverse, identity, inverting, matrices", - "path": "/math/linear-algebra/v/inverse-matrix--part-1/", + "path": "/math/algebra/algebra-matrices/inverting_matrices/v/inverse-matrix--part-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/iUQR0enP7RQ.mp4/iUQR0enP7RQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iUQR0enP7RQ.mp4/iUQR0enP7RQ.png", @@ -15338,6 +21854,22 @@ "slug": "inverse-matrix--part-1", "readable_id": "inverse-matrix--part-1" }, + "acid-chloride-formation": { + "kind": "Video", + "description": "Acetic Acid to Acetyl Chloride mechanism. 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"title": "Laplace Transform 3 (L{sin(at)})", + "title": "L{sin(at)}) - transform of sin(at)", "duration": 644, "youtube_id": "gMcs6RF_LrQ", "keywords": "laplace, transform", - "path": "/math/differential-equations/v/laplace-transform-3--l-sin-at/", + "path": "/math/differential-equations/laplace-transform/laplace-transform-tutorial/v/laplace-transform-3--l-sin-at/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gMcs6RF_LrQ.mp4/gMcs6RF_LrQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gMcs6RF_LrQ.mp4/gMcs6RF_LrQ.png", @@ -16044,12 +22656,12 @@ }, "reading-pictographs": { "kind": "Video", - "description": "u08_l1_t1_we1 Reading Pictographs", + "description": "Reading Pictographs", "title": "Reading Pictographs", "duration": 141, "youtube_id": "qrVvpYt3Vl0", "keywords": "u08_l1_t1_we1, Reading, Pictographs", - "path": "/math/statistics/v/reading-pictographs/", + "path": "/math/arithmetic/interpreting-data-topic/reading_data/v/reading-pictographs/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qrVvpYt3Vl0.mp4/qrVvpYt3Vl0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qrVvpYt3Vl0.mp4/qrVvpYt3Vl0.png", @@ -16060,12 +22672,12 @@ }, "mean-median-and-mode": { "kind": "Video", - "description": "u08_l2_t1_we1 Mean Median and Mode", - "title": "Mean Median and Mode", + "description": "Mean Median and Mode", + "title": "Example: Finding mean, median and mode", "duration": 235, "youtube_id": "k3aKKasOmIw", "keywords": "u08_l2_t1_we1, Mean, Median, and, Mode", - "path": "/math/statistics/v/mean-median-and-mode/", + "path": "/math/probability/descriptive-statistics/central_tendency/v/mean-median-and-mode/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/k3aKKasOmIw.mp4/k3aKKasOmIw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/k3aKKasOmIw.mp4/k3aKKasOmIw.png", @@ -16090,21 +22702,21 @@ "slug": "update-and-modify-your-ping-pong-ball-launcher", "readable_id": "update-and-modify-your-ping-pong-ball-launcher" }, - "are-southern-hemisphere-seasons-more-severe": { + "total-displacement-for-projectile": { "kind": "Video", - "description": "Are Southern Hemisphere seasons more severe because of the eccentricity in Earth's orbit?", - "title": "Are Southern Hemisphere Seasons More Severe?", - 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"path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/converting-to-slope-intercept-form/", + "path": "/math/trigonometry/graphs/line_equation/v/converting-to-slope-intercept-form/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/V6Xynlqc_tc.mp4/V6Xynlqc_tc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/V6Xynlqc_tc.mp4/V6Xynlqc_tc.png", @@ -16161,7 +22773,7 @@ "duration": 724, "youtube_id": "neAFEvNsiqw", "keywords": "CDS, credit, default, swaps, buffet, financial, weapons, of, mass, destruction", - "path": "/finance-economics/credit-crisis/v/credit-default-swaps-2/", + "path": "/science/core-finance/derivative-securities/credit-default-swaps-tut/v/credit-default-swaps-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/neAFEvNsiqw.mp4/neAFEvNsiqw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/neAFEvNsiqw.mp4/neAFEvNsiqw.png", @@ -16186,6 +22798,22 @@ "slug": "sat-prep--test-1-section-9--part-5", "readable_id": "sat-prep--test-1-section-9--part-5" }, + "oxidation-of-alcohols-ii--examples": { + "kind": "Video", + "description": "", + "title": "oxidation of alcohols II: examples", + "duration": 422, + "youtube_id": "wvwLy9ifmX0", + "keywords": "", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/reactions-alcohols-tutorial/v/oxidation-of-alcohols-ii--examples/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wvwLy9ifmX0.mp4/wvwLy9ifmX0.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/wvwLy9ifmX0.mp4/wvwLy9ifmX0.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wvwLy9ifmX0.m3u8/wvwLy9ifmX0.m3u8" + }, + "slug": "oxidation-of-alcohols-ii--examples", + "readable_id": "oxidation-of-alcohols-ii--examples" + }, "angles--part-2": { "kind": "Video", "description": "More on complementary and supplementary angles. Introduction to opposite angles.", @@ -16225,7 +22853,7 @@ "duration": 1551, "youtube_id": "eR8vEdJTvd0", "keywords": "onto, surjective, transformation, matrix, invertible", - "path": "/math/linear-algebra/v/determining-whether-a-transformation-is-onto/", + "path": "/math/linear-algebra/matrix_transformations/inverse_transformations/v/determining-whether-a-transformation-is-onto/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/eR8vEdJTvd0.mp4/eR8vEdJTvd0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eR8vEdJTvd0.mp4/eR8vEdJTvd0.png", @@ -16234,30 +22862,30 @@ "slug": "determining-whether-a-transformation-is-onto", "readable_id": "determining-whether-a-transformation-is-onto" }, - "traditional-iras": { + "diels-alder-i--mechanism": { "kind": "Video", - "description": "Introduction to traditional IRA's (Individual Retirement Accounts)", - "title": "Traditional IRAs", - "duration": 822, - "youtube_id": "2K0ubOpyZt8", - "keywords": "IRA, retirement, investment", - "path": "/finance-economics/core-finance/v/traditional-iras/", + "description": "", + "title": "diels-alder I: mechanism", + "duration": 696, + "youtube_id": "NfZgy3tymmI", + "keywords": "", + "path": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/diels-alder-reaction/v/diels-alder-i--mechanism/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/2K0ubOpyZt8.mp4/2K0ubOpyZt8.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/2K0ubOpyZt8.mp4/2K0ubOpyZt8.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/2K0ubOpyZt8.m3u8/2K0ubOpyZt8.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NfZgy3tymmI.mp4/NfZgy3tymmI.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/NfZgy3tymmI.mp4/NfZgy3tymmI.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NfZgy3tymmI.m3u8/NfZgy3tymmI.m3u8" }, - "slug": "traditional-iras", - "readable_id": "traditional-iras" + "slug": "diels-alder-i--mechanism", + "readable_id": "diels-alder-i--mechanism" }, "graphing-systems-of-inequalities-2": { "kind": "Video", - "description": "U06_L3_T1_we2 Graphing systems of inequalities 2", + "description": "Graphing systems of inequalities 2", "title": "Graphing systems of inequalities 2", "duration": 204, "youtube_id": "YjT3QYfoy4Q", "keywords": "U06_L3_T1_we2, Graphing, systems, of, inequalities, CC_39336_A-REI_12", - "path": "/math/algebra/systems-of-eq-and-ineq/system-of-inequalities/v/graphing-systems-of-inequalities-2/", + "path": "/math/trigonometry/systems_eq_ineq/systems_inequalities_precalc/v/graphing-systems-of-inequalities-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YjT3QYfoy4Q.mp4/YjT3QYfoy4Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YjT3QYfoy4Q.mp4/YjT3QYfoy4Q.png", @@ -16273,7 +22901,7 @@ "duration": 92, "youtube_id": "QMv4kxATfzs", "keywords": "SuperNova, (SuperNovae), nova, massive, stars", - "path": "/science/cosmology-and-astronomy/v/supernova-clarification/", + "path": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/supernova-clarification/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QMv4kxATfzs.mp4/QMv4kxATfzs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QMv4kxATfzs.mp4/QMv4kxATfzs.png", @@ -16305,7 +22933,7 @@ "duration": 310, "youtube_id": "PpUWpxAb39w", "keywords": "surface, integral, calculus", - "path": "/math/calculus/multivariable-calculus/v/surface-integral-ex2-part-1---parameterizing-the-surface/", + "path": "/math/calculus/multivariable-calculus/surface_integrals/v/surface-integral-ex2-part-1---parameterizing-the-surface/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PpUWpxAb39w.mp4/PpUWpxAb39w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PpUWpxAb39w.mp4/PpUWpxAb39w.png", @@ -16314,21 +22942,21 @@ "slug": "surface-integral-ex2-part-1---parameterizing-the-surface", "readable_id": "surface-integral-ex2-part-1---parameterizing-the-surface" }, - "changing-the-heart-rate---chronotropic-effect": { + "actual-cpi-u-basket-of-goods": { "kind": "Video", - "description": "Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes speed of your heartbeat! 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"slug": "changing-the-heart-rate---chronotropic-effect", - "readable_id": "changing-the-heart-rate---chronotropic-effect" + "slug": "actual-cpi-u-basket-of-goods", + "readable_id": "actual-cpi-u-basket-of-goods" }, "sp3-hybridized-orbitals-and-sigma-bonds": { "kind": "Video", @@ -16337,7 +22965,7 @@ "duration": 983, "youtube_id": "u1eGSL6J6Fo", "keywords": "sp3, Hybridized, Orbitals, and, Sigma, Bonds", - "path": "/science/organic-chemistry/v/sp3-hybridized-orbitals-and-sigma-bonds/", + "path": "/science/organic-chemistry/gen-chem-review/hybridization/v/sp3-hybridized-orbitals-and-sigma-bonds/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/u1eGSL6J6Fo.mp4/u1eGSL6J6Fo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u1eGSL6J6Fo.mp4/u1eGSL6J6Fo.png", @@ -16369,7 +22997,7 @@ "duration": 335, "youtube_id": "3gUE_P9T-Wk", "keywords": "evolution, earth, life, algae", - "path": "/science/cosmology-and-astronomy/v/first-living-things-on-land-clarification/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/first-living-things-on-land-clarification/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3gUE_P9T-Wk.mp4/3gUE_P9T-Wk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3gUE_P9T-Wk.mp4/3gUE_P9T-Wk.png", @@ -16378,21 +23006,21 @@ "slug": "first-living-things-on-land-clarification", "readable_id": "first-living-things-on-land-clarification" }, - 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"slug": "application-of-similar-triangles", - "readable_id": "application-of-similar-triangles" + "slug": "solving-rational-equations-2", + "readable_id": "solving-rational-equations-2" }, "tax-deductions-introduction": { "kind": "Video", @@ -16401,7 +23029,7 @@ "duration": 210, "youtube_id": "GypHy3gnG5E", "keywords": "Tax, deduction, mortgage, interest", - "path": "/finance-economics/core-finance/v/tax-deductions-introduction/", + "path": "/science/core-finance/taxes-topic/taxes/v/tax-deductions-introduction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GypHy3gnG5E.mp4/GypHy3gnG5E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GypHy3gnG5E.mp4/GypHy3gnG5E.png", @@ -16476,12 +23104,12 @@ }, "conversion-between-metric-units": { "kind": "Video", - "description": "U06_L2_T1_we2 Conversion between metric units", + "description": "Conversion between metric units", "title": "Conversion between metric units", "duration": 316, "youtube_id": "SYkmadc2wOI", "keywords": "U06_L2_T1_we2, Conversion, between, metric, units, CC_4_MD_1, CC_5_MD_1, CC_6_RP_3_d", - "path": "/math/algebra/rational-expressions/v/conversion-between-metric-units/", + "path": "/math/arithmetic/rates-and-ratios/unit_conversion/v/conversion-between-metric-units/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SYkmadc2wOI.mp4/SYkmadc2wOI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SYkmadc2wOI.mp4/SYkmadc2wOI.png", @@ -16545,7 +23173,7 @@ "duration": 591, "youtube_id": "ItW5CxLsLSo", "keywords": "surface, integral", - "path": "/math/calculus/multivariable-calculus/v/surface-integral-ex2-part-2---evaluating-integral/", + "path": "/math/calculus/multivariable-calculus/surface_integrals/v/surface-integral-ex2-part-2---evaluating-integral/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ItW5CxLsLSo.mp4/ItW5CxLsLSo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ItW5CxLsLSo.mp4/ItW5CxLsLSo.png", @@ -16561,7 +23189,7 @@ "duration": 605, "youtube_id": "YclQE2XtaLw", "keywords": "margin, of, error, confindence, interval, sampling, distribution, sample, mean, standard, deviation, CC_7_SP_1, CC_7_SP_2", - "path": "/math/statistics/v/margin-of-error-2/", + "path": "/math/probability/statistics-inferential/margin-of-error/v/margin-of-error-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YclQE2XtaLw.mp4/YclQE2XtaLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YclQE2XtaLw.mp4/YclQE2XtaLw.png", @@ -16577,7 +23205,7 @@ "duration": 902, "youtube_id": "OwPSuHXmiPw", "keywords": "margin, of, error, confindence, interval, sampling, distribution, sample, mean, standard, deviation, CC_7_SP_1, CC_7_SP_2", - "path": "/math/statistics/v/margin-of-error-1/", + "path": "/math/probability/statistics-inferential/margin-of-error/v/margin-of-error-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/OwPSuHXmiPw.mp4/OwPSuHXmiPw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OwPSuHXmiPw.mp4/OwPSuHXmiPw.png", @@ -16593,7 +23221,7 @@ "duration": 296, "youtube_id": "oYoQpDtBLac", "keywords": "Cis-Trans, and, E-Z, Naming, Scheme, for, Alkenes", - "path": "/science/organic-chemistry/v/cis-trans-and-e-z-naming-scheme-for-alkenes/", + "path": "/science/organic-chemistry/alkenes-alkynes/naming-alkenes/v/cis-trans-and-e-z-naming-scheme-for-alkenes/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/oYoQpDtBLac.mp4/oYoQpDtBLac.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oYoQpDtBLac.mp4/oYoQpDtBLac.png", @@ -16604,12 +23232,12 @@ }, "factoring-sum-of-cubes": { "kind": "Video", - "description": "u12_l2_t3_we1 Factoring Sum of Cubes", + "description": "Factoring Sum of Cubes", "title": "Factoring Sum of Cubes", "duration": 286, "youtube_id": "Touv2APcBRw", "keywords": "u12_l2_t3_we1, Factoring, Sum, of, Cubes, CC_39336_A-SSE_1_a, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2, CC_39336_A-SSE_3", - "path": "/math/algebra/polynomials/v/factoring-sum-of-cubes/", + "path": "/math/trigonometry/polynomial_and_rational/polynomial_tutorial/v/factoring-sum-of-cubes/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Touv2APcBRw.mp4/Touv2APcBRw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Touv2APcBRw.mp4/Touv2APcBRw.png", @@ -16634,21 +23262,21 @@ "slug": "claude-monet--poplars--1891", "readable_id": "claude-monet--poplars--1891" }, - "oligopolies-and-monopolisitc-competition": { + "e1-elimination--regioselectivity-and-stereoselectivity": { "kind": "Video", - "description": "Thinking about different markets that are in-between monopolies and perfect competition", - "title": "Oligopolies and Monopolistic Competition", - "duration": 561, - "youtube_id": "PzDthFTzEa0", - "keywords": "microeconomics", - "path": "/finance-economics/microeconomics/v/oligopolies-and-monopolisitc-competition/", + "description": "", + "title": "E1 Elimination: regioselectivity and stereoselectivity", + "duration": 627, + "youtube_id": "qjZnIpZ-EcY", + "keywords": "", + "path": "/science/organic-chemistry/substitution-elimination-reactions/e1-e2-tutorial/v/e1-elimination--regioselectivity-and-stereoselectivity/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PzDthFTzEa0.mp4/PzDthFTzEa0.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/PzDthFTzEa0.mp4/PzDthFTzEa0.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PzDthFTzEa0.m3u8/PzDthFTzEa0.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qjZnIpZ-EcY.mp4/qjZnIpZ-EcY.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/qjZnIpZ-EcY.mp4/qjZnIpZ-EcY.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qjZnIpZ-EcY.m3u8/qjZnIpZ-EcY.m3u8" }, - 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Alkyl groups (like methyl groups) are said to be \"electron donating\" through an effect called hyperconjugation. Since electrons repel other electrons, the negative formal charges of the conjugate bases are destabilized by the presence of the \"electron donating\" alkyl groups. Hyperconjugation will be explained in a future video.", + "title": "stabilization of conjugate base I: atom and solvent effects", + "duration": 719, + "youtube_id": "lf8Qdt9kOg8", + "keywords": "", + "path": "/science/organic-chemistry/gen-chem-review/acid-base-review/v/stabilization-of-conjugate-base-i--atom-and-solvent-effects/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lf8Qdt9kOg8.mp4/lf8Qdt9kOg8.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/lf8Qdt9kOg8.mp4/lf8Qdt9kOg8.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lf8Qdt9kOg8.m3u8/lf8Qdt9kOg8.m3u8" + }, + "slug": "stabilization-of-conjugate-base-i--atom-and-solvent-effects", + "readable_id": "stabilization-of-conjugate-base-i--atom-and-solvent-effects" + }, "multiplying-binomials": { "kind": "Video", - "description": "u11_l2_t3_we3 Multiplying Binomials", + "description": "Multiplying Binomials", "title": "Multiplying Binomials", "duration": 347, "youtube_id": "ZMLFfTX615w", "keywords": "u11_l2_t3_we3, Multiplying, Binomials, CC_39336_A-APR_1", - "path": "/math/algebra/polynomials/v/multiplying-binomials/", + "path": "/math/algebra/polynomials/multiplying_polynomials/v/multiplying-binomials/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZMLFfTX615w.mp4/ZMLFfTX615w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZMLFfTX615w.mp4/ZMLFfTX615w.png", @@ -16721,7 +23365,7 @@ "duration": 487, "youtube_id": "gL3HxBQyeg0", "keywords": "cylinder, volume, surface, area, CC_8_G_9", - "path": "/math/geometry/basic-geometry/v/cylinder-volume-and-surface-area/", + "path": "/math/geometry/basic-geometry/volume_tutorial/v/cylinder-volume-and-surface-area/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gL3HxBQyeg0.mp4/gL3HxBQyeg0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gL3HxBQyeg0.mp4/gL3HxBQyeg0.png", @@ -16746,6 +23390,22 @@ "slug": "origami-proof-of-the-pythagorean-theorem", "readable_id": "origami-proof-of-the-pythagorean-theorem" }, + "oxidation-states-ii": { + "kind": "Video", + "description": "", + "title": "oxidation states II", + "duration": 741, + "youtube_id": "wgJJlnlGREo", + "keywords": "", + "path": "/science/organic-chemistry/gen-chem-review/oxidation-reduction-review/v/oxidation-states-ii/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wgJJlnlGREo.mp4/wgJJlnlGREo.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/wgJJlnlGREo.mp4/wgJJlnlGREo.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wgJJlnlGREo.m3u8/wgJJlnlGREo.m3u8" + }, + "slug": "oxidation-states-ii", + "readable_id": "oxidation-states-ii" + }, "sn1-and-sn2-epoxide-opening-discussion": { "kind": "Video", "description": "Sn1 and Sn2 epoxide opening discussion", @@ -16753,7 +23413,7 @@ "duration": 478, "youtube_id": "Ordpoq2dHAk", "keywords": "Sn1, and, Sn2, epoxide, opening, discussion", - "path": "/science/organic-chemistry/v/sn1-and-sn2-epoxide-opening-discussion/", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/ring-opening-reactions-epoxides/v/sn1-and-sn2-epoxide-opening-discussion/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ordpoq2dHAk.mp4/Ordpoq2dHAk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ordpoq2dHAk.mp4/Ordpoq2dHAk.png", @@ -16796,12 +23456,12 @@ }, "square-a-binomial": { "kind": "Video", - "description": "u11_l2_t4_we2 Square a Binomial", + "description": "Square a Binomial", "title": "Square a Binomial", "duration": 218, "youtube_id": "xjkbR7Gjgjs", "keywords": "u11_l2_t4_we2, Square, Binomial, CC_39336_A-APR_1, CC_39336_A-REI_4_a", - "path": "/math/algebra/polynomials/v/square-a-binomial/", + "path": "/math/algebra/polynomials/multiplying_polynomials/v/square-a-binomial/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xjkbR7Gjgjs.mp4/xjkbR7Gjgjs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xjkbR7Gjgjs.mp4/xjkbR7Gjgjs.png", @@ -16817,7 +23477,7 @@ "duration": 562, "youtube_id": "sjUhr0HkLUg", "keywords": "graph, sine, sin", - "path": "/math/trigonometry/v/we-graph--domain--and-range-of-sine-function/", + "path": "/math/trigonometry/basic-trigonometry/trig_graphs_tutorial/v/we-graph--domain--and-range-of-sine-function/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/sjUhr0HkLUg.mp4/sjUhr0HkLUg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sjUhr0HkLUg.mp4/sjUhr0HkLUg.png", @@ -16826,21 +23486,21 @@ "slug": "we-graph--domain--and-range-of-sine-function", "readable_id": "we-graph--domain--and-range-of-sine-function" }, - "phidias------sculpture-from-the-east-pediment-of-the-parthenon--c--448-432-b-c-e": { + "bond-line-structures": { "kind": "Video", - "description": "Phidias (?), Sculpture from the East Pediment of the Parthenon, marble, c. 448-432 B.C.E. 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"path": "/finance-economics/credit-crisis/v/mortgage-backed-securities-iii/", + "path": "/science/core-finance/derivative-securities/mort-backed-secs-tut/v/mortgage-backed-securities-iii/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/q0oSKmC3Mfc.mp4/q0oSKmC3Mfc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q0oSKmC3Mfc.mp4/q0oSKmC3Mfc.png", @@ -17665,7 +24373,7 @@ "duration": 581, "youtube_id": "6udRtn5jSWk", "keywords": "elasticity, economics", - "path": "/finance-economics/microeconomics/v/perfect-inelasticity-and-perfect-elasticity-of-demand/", + "path": "/science/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/perfect-inelasticity-and-perfect-elasticity-of-demand/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6udRtn5jSWk.mp4/6udRtn5jSWk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6udRtn5jSWk.mp4/6udRtn5jSWk.png", @@ -17729,7 +24437,7 @@ "duration": 1270, "youtube_id": "7Mo4S2wyMg4", "keywords": "matrix, vector, product", - "path": "/math/linear-algebra/v/matrix-vector-products/", + "path": "/math/linear-algebra/vectors_and_spaces/null_column_space/v/matrix-vector-products/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/7Mo4S2wyMg4.mp4/7Mo4S2wyMg4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7Mo4S2wyMg4.mp4/7Mo4S2wyMg4.png", @@ -17738,21 +24446,21 @@ "slug": "matrix-vector-products", "readable_id": "matrix-vector-products" }, - "build-your-own-motor": { + "futures-curves-ii": { "kind": "Video", - "description": "In this video we show you how to build a simple motor", - "title": "Build your own motor", - "duration": 439, - "youtube_id": "jabo8iTesqQ", - "keywords": "Motor, build, brushes, projects with electricity ", - "path": "/science/projects/dc-motors/v/build-your-own-motor/", + "description": "Futures Curves II", + "title": "Futures Curves II", + "duration": 231, + "youtube_id": "UDe6zeabyQM", + "keywords": "Futures, Curves, II", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/futures-curves-ii/", "download_urls": { - 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"path": "/math/statistics/v/hypothesis-test-comparing-population-proportions/", + "path": "/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/hypothesis-test-comparing-population-proportions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dvSa_tx04hw.mp4/dvSa_tx04hw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dvSa_tx04hw.mp4/dvSa_tx04hw.png", @@ -17809,7 +24517,7 @@ "duration": 800, "youtube_id": "j9ZPMlVHJVs", "keywords": "ANOVA, Calculating, SSW, and, SSB, (Total, Sum, of, Squares, Within, Between).avi, CC_7_SP_3, CC_7_SP_4", - "path": "/math/statistics/v/anova-2---calculating-ssw-and-ssb--total-sum-of-squares-within-and-between--avi/", + "path": "/math/probability/statistics-inferential/anova/v/anova-2---calculating-ssw-and-ssb--total-sum-of-squares-within-and-between--avi/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/j9ZPMlVHJVs.mp4/j9ZPMlVHJVs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j9ZPMlVHJVs.mp4/j9ZPMlVHJVs.png", @@ -17825,7 +24533,7 @@ "duration": 360, "youtube_id": "nBw6KvU51BE", "keywords": "microeconomics", - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Contractility, Ea, and Preload Effects on PV Boxes", + "duration": 791, + "youtube_id": "JRrm8TfBj1c", + "keywords": "", + "path": "/science/healthcare-and-medicine/changing-the-PV-loop/v/contractility--ea--and-preload-effects-on-pv-boxes/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/J9BWNiOSGlc.mp4/J9BWNiOSGlc.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/J9BWNiOSGlc.mp4/J9BWNiOSGlc.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/J9BWNiOSGlc.m3u8/J9BWNiOSGlc.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/JRrm8TfBj1c.mp4/JRrm8TfBj1c.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/JRrm8TfBj1c.mp4/JRrm8TfBj1c.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JRrm8TfBj1c.m3u8/JRrm8TfBj1c.m3u8" }, - "slug": "intuition-on-static-and-kinetic-friction-comparisons", - "readable_id": "intuition-on-static-and-kinetic-friction-comparisons" + "slug": "contractility--ea--and-preload-effects-on-pv-boxes", + "readable_id": "contractility--ea--and-preload-effects-on-pv-boxes" + }, + "hyperbolic-trig-functions-and-the-unit-hyperbola": { + "kind": "Video", + "description": "Why they are called hyperbolic trigonometric functions", + "title": "Hyperbolic Trig Functions and the Unit Hyperbola", + "duration": 518, + "youtube_id": "Wfpb-fniSSk", + "keywords": "", + "path": "/math/trigonometry/hyperbolic_trig_topic/hyperbolic_trig_intro/v/hyperbolic-trig-functions-and-the-unit-hyperbola/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Wfpb-fniSSk.mp4/Wfpb-fniSSk.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Wfpb-fniSSk.mp4/Wfpb-fniSSk.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Wfpb-fniSSk.m3u8/Wfpb-fniSSk.m3u8" + }, + "slug": "hyperbolic-trig-functions-and-the-unit-hyperbola", + "readable_id": "hyperbolic-trig-functions-and-the-unit-hyperbola" }, "iit-jee-trigonometry-problem-1": { "kind": "Video", @@ -17921,7 +24645,7 @@ "duration": 566, "youtube_id": "d-_eqgj5-K8", "keywords": "physics, area, integral, accleration, slope", - "path": "/science/physics/mechanics/v/why-distance-is-area-under-velocity-time-line/", + "path": "/science/physics/one-dimensional-motion/acceleration_tutorial/v/why-distance-is-area-under-velocity-time-line/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/d-_eqgj5-K8.mp4/d-_eqgj5-K8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d-_eqgj5-K8.mp4/d-_eqgj5-K8.png", @@ -17953,7 +24677,7 @@ "duration": 564, "youtube_id": "zAx61CO5mDw", "keywords": "Relationship, between, angular, velocity, and, speed", - "path": "/science/physics/mechanics/v/relationship-between-angular-velocity-and-speed/", + "path": "/science/physics/torque-angular-momentum/torque-tutorial/v/relationship-between-angular-velocity-and-speed/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/zAx61CO5mDw.mp4/zAx61CO5mDw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zAx61CO5mDw.mp4/zAx61CO5mDw.png", @@ -17969,7 +24693,7 @@ "duration": 560, "youtube_id": "sTw0e-hwYAQ", "keywords": "macroeconomics, keynes", - "path": "/finance-economics/macroeconomics/v/keynesian-cross/", + "path": "/science/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial/v/keynesian-cross/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/sTw0e-hwYAQ.mp4/sTw0e-hwYAQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sTw0e-hwYAQ.mp4/sTw0e-hwYAQ.png", @@ -17994,22 +24718,6 @@ "slug": "understanding-the-pressure-volume-loop", "readable_id": "understanding-the-pressure-volume-loop" }, - "introduction-to-logarithm-properties": { - "kind": "Video", - "description": "Introduction to the first two logarithm properties.", - "title": "Introduction to logarithm properties", - "duration": 554, - "youtube_id": "PupNgv49_WY", - "keywords": "logarithms, properties, examples, math, CC_39336_F-BF_5", - "path": "/math/algebra/logarithms-tutorial/v/introduction-to-logarithm-properties/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PupNgv49_WY.mp4/PupNgv49_WY.mp4", - 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"path": "/finance-economics/valuation-and-investing/v/roa-discussion-1/", + "path": "/science/core-finance/stock-and-bonds/valuation-and-investing/v/roa-discussion-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Oh4H3BJX1ZI.mp4/Oh4H3BJX1ZI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Oh4H3BJX1ZI.mp4/Oh4H3BJX1ZI.png", @@ -18065,7 +24773,7 @@ "duration": 617, "youtube_id": "R_5slDeVCQk", "keywords": "return, on, asset, roa", - "path": "/finance-economics/valuation-and-investing/v/roa-discussion-2/", + "path": "/science/core-finance/stock-and-bonds/valuation-and-investing/v/roa-discussion-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/R_5slDeVCQk.mp4/R_5slDeVCQk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R_5slDeVCQk.mp4/R_5slDeVCQk.png", @@ -18076,12 +24784,12 @@ }, "representing-a-number-as-a-decimal--percent--and-fraction": { "kind": "Video", - "description": "U05_L1_T1_we3 Representing a number as a decimal, percent, and fraction", + "description": "Representing a number as a decimal, percent, and fraction", "title": "Representing a number as a decimal, percent, and fraction", "duration": 212, "youtube_id": "-gB1y-PMWfs", "keywords": "percent, and fraction", - "path": "/math/arithmetic/percents/v/representing-a-number-as-a-decimal--percent--and-fraction/", + "path": "/math/arithmetic/fractions/decimals_fractions/v/representing-a-number-as-a-decimal--percent--and-fraction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-gB1y-PMWfs.mp4/-gB1y-PMWfs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-gB1y-PMWfs.mp4/-gB1y-PMWfs.png", @@ -18097,7 +24805,7 @@ "duration": 399, "youtube_id": "v-H_7o7EMoU", "keywords": "solid, rotation, disk, method", - "path": "/math/calculus/integral-calculus/v/2011-calculus-ab-free-response--3--c/", + "path": "/math/calculus/ap_calc_topic/ab_examples/v/2011-calculus-ab-free-response--3--c/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/v-H_7o7EMoU.mp4/v-H_7o7EMoU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v-H_7o7EMoU.mp4/v-H_7o7EMoU.png", @@ -18106,6 +24814,22 @@ "slug": "2011-calculus-ab-free-response--3--c", "readable_id": "2011-calculus-ab-free-response--3--c" }, + "multiplying-and-dividing-negative-numbers": { + "kind": "Video", + "description": "Multiplying and dividing negative numbers", + "title": "Multiplying and dividing negative numbers", + "duration": 508, + "youtube_id": "d8lP5tR2R3Q", + "keywords": "multiplication, division, negative, CC_7_NS_2_a, CC_7_NS_2_b", + "path": "/math/arithmetic/absolute-value/mult_div_negatives/v/multiplying-and-dividing-negative-numbers/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/d8lP5tR2R3Q.mp4/d8lP5tR2R3Q.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/d8lP5tR2R3Q.mp4/d8lP5tR2R3Q.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d8lP5tR2R3Q.m3u8/d8lP5tR2R3Q.m3u8" + }, + "slug": "multiplying-and-dividing-negative-numbers", + "readable_id": "multiplying-and-dividing-negative-numbers" + }, "lattice-multiplication": { "kind": "Video", "description": "Introduction to lattice multiplication", @@ -18113,7 +24837,7 @@ "duration": 435, "youtube_id": "gS6TfWUv97I", "keywords": "lattice, multiplication, CC_3_OA_5, CC_3_OA_7, CC_4_NBT_5", - "path": "/math/arithmetic/multiplication-division/v/lattice-multiplication/", + "path": "/math/arithmetic/multiplication-division/lattice_multiplication/v/lattice-multiplication/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gS6TfWUv97I.mp4/gS6TfWUv97I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gS6TfWUv97I.mp4/gS6TfWUv97I.png", @@ -18129,7 +24853,7 @@ "duration": 684, "youtube_id": "QWninXOAMXE", "keywords": "repurchase, agreement, repo, transaction, federal, reserve", - "path": "/finance-economics/banking-and-money/v/repurchase-agreements--repo-transactions/", + "path": "/science/core-finance/money-and-banking/banking-and-money/v/repurchase-agreements--repo-transactions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QWninXOAMXE.mp4/QWninXOAMXE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QWninXOAMXE.mp4/QWninXOAMXE.png", @@ -18145,7 +24869,7 @@ "duration": 736, "youtube_id": "rgqFXkLAc-4", "keywords": "federal, reserve, funds, money, suplly, m0, m1, open, market, operations", - "path": "/finance-economics/banking-and-money/v/banking-15--more-on-the-fed-funds-rate/", + "path": "/science/core-finance/money-and-banking/banking-and-money/v/banking-15--more-on-the-fed-funds-rate/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/rgqFXkLAc-4.mp4/rgqFXkLAc-4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rgqFXkLAc-4.mp4/rgqFXkLAc-4.png", @@ -18170,22 +24894,6 @@ "slug": "henri-matisse--the-piano-lesson--1916", "readable_id": "henri-matisse--the-piano-lesson--1916" }, - "opposite-of-a-polynomial": { - "kind": "Video", - "description": "u11_l2_t2_we2 Opposite of a Polynomial", - "title": "Opposite of a Polynomial", - "duration": 110, - "youtube_id": "pb8vGcMlRmU", - "keywords": "u11_l2_t2_we2, Opposite, of, Polynomial, CC_7_EE_1", - "path": "/math/algebra/polynomials/v/opposite-of-a-polynomial/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/pb8vGcMlRmU.mp4/pb8vGcMlRmU.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/pb8vGcMlRmU.mp4/pb8vGcMlRmU.png", - 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"path": "/science/physics/mechanics/v/mechanical-advantage--part-2/", + "path": "/science/physics/work-and-energy/mechanical-advantage/v/mechanical-advantage--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/DiBXxWBrV24.mp4/DiBXxWBrV24.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DiBXxWBrV24.mp4/DiBXxWBrV24.png", @@ -18250,6 +24958,38 @@ "slug": "convex-lens-examples", "readable_id": "convex-lens-examples" }, + "u-substitution-example-3": { + "kind": "Video", + "description": "Manipulating the expression to make u-substitution a little more obvious.", + "title": "U-substitution Example 3", + "duration": 333, + "youtube_id": "oqCfqIcbE10", + "keywords": "", + "path": "/math/calculus/integral-calculus/u_substitution/v/u-substitution-example-3/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/oqCfqIcbE10.mp4/oqCfqIcbE10.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/oqCfqIcbE10.mp4/oqCfqIcbE10.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oqCfqIcbE10.m3u8/oqCfqIcbE10.m3u8" + }, + "slug": "u-substitution-example-3", + "readable_id": "u-substitution-example-3" + }, + "u-substitution-example-2": { + "kind": "Video", + "description": "Another example of using U-subsitution", + "title": "U-substitution example 2", + "duration": 244, + "youtube_id": "Zp5z0wa0kgo", + "keywords": "", + "path": "/math/calculus/integral-calculus/u_substitution/v/u-substitution-example-2/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zp5z0wa0kgo.mp4/Zp5z0wa0kgo.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Zp5z0wa0kgo.mp4/Zp5z0wa0kgo.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zp5z0wa0kgo.m3u8/Zp5z0wa0kgo.m3u8" + }, + "slug": "u-substitution-example-2", + "readable_id": "u-substitution-example-2" + }, "cepheid-variables-1": { "kind": "Video", "description": "Cepheid Variables 1", @@ -18257,7 +24997,7 @@ "duration": 563, "youtube_id": "BWs-ONRDDG4", "keywords": "Cepheid, Variables, Henrietta, Swan, leavitt, magellanic, cloud", - "path": "/science/cosmology-and-astronomy/v/cepheid-variables-1/", + "path": "/science/cosmology-and-astronomy/stellar-life-topic/cepheid-variables/v/cepheid-variables-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BWs-ONRDDG4.mp4/BWs-ONRDDG4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BWs-ONRDDG4.mp4/BWs-ONRDDG4.png", @@ -18273,7 +25013,7 @@ "duration": 876, "youtube_id": "a58PSBX7BSY", "keywords": "finance, personal, economics", - "path": "/finance-economics/core-finance/v/mortgage-interest-rates/", + "path": "/science/core-finance/housing/mortgages-tutorial/v/mortgage-interest-rates/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/a58PSBX7BSY.mp4/a58PSBX7BSY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a58PSBX7BSY.mp4/a58PSBX7BSY.png", @@ -18300,12 +25040,12 @@ }, "adding-complex-numbers": { "kind": "Video", - "description": "u16_l4_t2_we1 Adding Complex Numbers", + "description": "Adding Complex Numbers", "title": "Adding Complex Numbers", "duration": 71, "youtube_id": "SfbjqVyQljk", "keywords": "u16_l4_t2_we1, Adding, Complex, Numbers", - "path": "/math/algebra/complex-numbers/v/adding-complex-numbers/", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc/v/adding-complex-numbers/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SfbjqVyQljk.mp4/SfbjqVyQljk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SfbjqVyQljk.mp4/SfbjqVyQljk.png", @@ -18321,7 +25061,7 @@ "duration": 318, "youtube_id": "SdHwokUU8xI", "keywords": "cos, cosine, graph", - "path": "/math/trigonometry/v/we-graph-of-cosine-function/", + "path": "/math/trigonometry/basic-trigonometry/trig_graphs_tutorial/v/we-graph-of-cosine-function/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SdHwokUU8xI.mp4/SdHwokUU8xI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SdHwokUU8xI.mp4/SdHwokUU8xI.png", @@ -18332,12 +25072,12 @@ }, "algebraic-expression-least-common-multiple": { "kind": "Video", - "description": "u15_l1_t3_we1 Algebraic Expression Least Common Multiple", + "description": "Algebraic Expression Least Common Multiple", "title": "Algebraic Expression Least Common Multiple", "duration": 280, "youtube_id": "MNeNHoCXoGU", "keywords": "u15_l1_t3_we1, Algebraic, Expression, Least, Common, Multiple, CC_39336_A-SSE_1_a, CC_39336_A-SSE_1_b", - "path": "/math/arithmetic/factors-multiples/v/algebraic-expression-least-common-multiple/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/variable-and-expressions/v/algebraic-expression-least-common-multiple/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MNeNHoCXoGU.mp4/MNeNHoCXoGU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MNeNHoCXoGU.mp4/MNeNHoCXoGU.png", @@ -18353,7 +25093,7 @@ "duration": 478, "youtube_id": "2QjdcVTgTTA", "keywords": "unit, vectors, engineering", - "path": "/science/physics/mechanics/v/unit-vectors-and-engineering-notation/", + "path": "/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/unit-vectors-and-engineering-notation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/2QjdcVTgTTA.mp4/2QjdcVTgTTA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2QjdcVTgTTA.mp4/2QjdcVTgTTA.png", @@ -18364,12 +25104,12 @@ }, "solving-equations-with-the-distributive-property-2": { "kind": "Video", - "description": "U02_L1_T2_we2: Solving equations with the distributive property 2", + "description": "Solving equations with the distributive property 2", "title": "Solving equations with the distributive property 2", "duration": 290, "youtube_id": "PL9UYj2awDc", "keywords": "U02_L1_T2_we2:, Solving, equations, with, the, distributive, property, CC_39336_A-REI_1, CC_39336_A-REI_3", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/solving-equations-with-the-distributive-property-2/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/solving-equations-with-the-distributive-property-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PL9UYj2awDc.mp4/PL9UYj2awDc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PL9UYj2awDc.mp4/PL9UYj2awDc.png", @@ -18385,7 +25125,7 @@ "duration": 566, "youtube_id": "pGaDcOMdw48", "keywords": "trigonometry, math, law, of, cosines", - "path": "/math/trigonometry/v/law-of-cosines/", + "path": "/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/law-of-cosines/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/pGaDcOMdw48.mp4/pGaDcOMdw48.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pGaDcOMdw48.mp4/pGaDcOMdw48.png", @@ -18497,7 +25237,7 @@ "duration": 553, "youtube_id": "1xuf6ZKF1_I", "keywords": "Mixed, Numbers, Improper, fractions, math", - "path": "/math/arithmetic/fractions/v/mixed-numbers-and-improper-fractions/", + "path": "/math/arithmetic/fractions/mixed_numbers/v/mixed-numbers-and-improper-fractions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1xuf6ZKF1_I.mp4/1xuf6ZKF1_I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1xuf6ZKF1_I.mp4/1xuf6ZKF1_I.png", @@ -18506,6 +25246,22 @@ "slug": "mixed-numbers-and-improper-fractions", "readable_id": "mixed-numbers-and-improper-fractions" }, + "3-d-bond-line-structures": { + "kind": "Video", + "description": "", + "title": "3-D bond-line structures", + "duration": 722, + "youtube_id": "W-PoNMSawwQ", + "keywords": "", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/bond-line-structures/v/3-d-bond-line-structures/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/W-PoNMSawwQ.mp4/W-PoNMSawwQ.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/W-PoNMSawwQ.mp4/W-PoNMSawwQ.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W-PoNMSawwQ.m3u8/W-PoNMSawwQ.m3u8" + }, + "slug": "3-d-bond-line-structures", + "readable_id": "3-d-bond-line-structures" + }, "giovanni-bellini--saint-francis-in-the-desert--circa-1480": { "kind": "Video", "description": "Giovanni Bellini, Saint Francis in the Desert, c. 1480, oil and tempera on poplar, 124.5 x 141.9 cm (The Frick Collection, New York)\n\nIn the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/\n\nView this work up close on the Google Art Project: http://www.googleartproject.com/collection/the-frick-collection/artwork/st-francis-in-the-desert-giovanni-bellini/324245/", @@ -18577,7 +25333,7 @@ "duration": 696, "youtube_id": "sxbPwl_KRuA", "keywords": "Cosmic, Background, Radiation, microwave, big, bang", - "path": "/science/cosmology-and-astronomy/v/cosmic-background-radiation/", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/cosmic-background-radiation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/sxbPwl_KRuA.mp4/sxbPwl_KRuA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sxbPwl_KRuA.mp4/sxbPwl_KRuA.png", @@ -18593,7 +25349,7 @@ "duration": 665, "youtube_id": "jyLRpr2P0MQ", "keywords": "radius, diameter, circumference, circle, CC_7_G_4", - "path": "/math/geometry/circles-topic/v/circles--radius--diameter-and-circumference/", + "path": "/math/geometry/circles/v/circles--radius--diameter-and-circumference/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jyLRpr2P0MQ.mp4/jyLRpr2P0MQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jyLRpr2P0MQ.mp4/jyLRpr2P0MQ.png", @@ -18604,12 +25360,12 @@ }, "associative-law-of-addition": { "kind": "Video", - "description": "U01_L4_T1_we5 Associative Law of Addition", + "description": "Associative Law of Addition", "title": "Associative Law of Addition", "duration": 130, "youtube_id": "oTKVXJ7TcbA", "keywords": "U01_L4_T1_we5, Associative, Law, of, Addition, CC_1_OA_3", - "path": "/math/arithmetic/number-properties/v/associative-law-of-addition/", + "path": "/math/arithmetic/order-of-operations/arithmetic_properties/v/associative-law-of-addition/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/oTKVXJ7TcbA.mp4/oTKVXJ7TcbA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oTKVXJ7TcbA.mp4/oTKVXJ7TcbA.png", @@ -18641,7 +25397,7 @@ "duration": 396, "youtube_id": "9BNkmfHYYYI", "keywords": "centripetal, acceleration", - "path": "/science/physics/mechanics/v/space-station-speed-in-orbit/", + "path": "/science/physics/newton-gravitation/gravity-newtonian/v/space-station-speed-in-orbit/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9BNkmfHYYYI.mp4/9BNkmfHYYYI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9BNkmfHYYYI.mp4/9BNkmfHYYYI.png", @@ -18689,7 +25445,7 @@ "duration": 853, "youtube_id": "lJX8DxoPRfk", "keywords": "Pi, bonds, and, sp2, Hybridized, Orbitals", - "path": "/science/organic-chemistry/v/pi-bonds-and-sp2-hybridized-orbitals/", + "path": "/science/organic-chemistry/gen-chem-review/hybridization/v/pi-bonds-and-sp2-hybridized-orbitals/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lJX8DxoPRfk.mp4/lJX8DxoPRfk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lJX8DxoPRfk.mp4/lJX8DxoPRfk.png", @@ -18705,7 +25461,7 @@ "duration": 651, "youtube_id": "EnwWxMZVBeg", "keywords": "radians, degrees", - "path": "/math/trigonometry/v/introduction-to-radians/", + "path": "/math/trigonometry/basic-trigonometry/radians_tutorial/v/introduction-to-radians/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/EnwWxMZVBeg.mp4/EnwWxMZVBeg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EnwWxMZVBeg.mp4/EnwWxMZVBeg.png", @@ -18721,7 +25477,7 @@ "duration": 599, "youtube_id": "U-k5N1WPk4g", "keywords": "domain, range, algebra, function, CC_39336_F-IF_2", - "path": "/math/algebra/algebra-functions/v/domain-of-a-function/", + "path": "/math/trigonometry/functions_and_graphs/domain_range/v/domain-of-a-function/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/U-k5N1WPk4g.mp4/U-k5N1WPk4g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U-k5N1WPk4g.mp4/U-k5N1WPk4g.png", @@ -18748,12 +25504,12 @@ }, "subtracting-decimals-word-problem": { "kind": "Video", - "description": "U03_L2_T1_we3 Subtracting Decimals Word Problem", + "description": "Subtracting Decimals Word Problem", "title": "Subtracting Decimals Word Problem", "duration": 139, "youtube_id": "hy_bDS3aHO4", "keywords": "U03_L2_T1_we3, Subtracting, Decimals, Word, Problem, CC_5_NBT_7, CC_6_NS_3", - 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"description": "U02_L1_T4_we2 Fractions in lowest terms", + "description": "Fractions in lowest terms", "title": "Fractions in lowest terms", "duration": 342, "youtube_id": "WPimvspI0_c", "keywords": "U02_L1_T4_we2, Fractions, in, lowest, terms, CC_3_NF_3, CC_3_NF_3_a, CC_3_NF_3_b, CC_6_NS_4", - "path": "/math/arithmetic/fractions/v/fractions-in-lowest-terms/", + "path": "/math/arithmetic/fractions/Equivalent_fractions/v/fractions-in-lowest-terms/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/WPimvspI0_c.mp4/WPimvspI0_c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WPimvspI0_c.mp4/WPimvspI0_c.png", @@ -18833,7 +25605,7 @@ "duration": 638, "youtube_id": "iHXdzfF7UEs", "keywords": "sample variance, unbiased estimator, statistics", - "path": "/math/statistics/v/sample-variance/", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/v/sample-variance/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/iHXdzfF7UEs.mp4/iHXdzfF7UEs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iHXdzfF7UEs.mp4/iHXdzfF7UEs.png", @@ -18865,7 +25637,7 @@ "duration": 349, "youtube_id": "kJ43GdU5Uzc", "keywords": "microeconomics", - 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"path": "/finance-economics/banking-and-money/v/banking-11--a-reserve-bank/", + "path": "/science/core-finance/money-and-banking/banking-and-money/v/banking-11--a-reserve-bank/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/M-4GWomLbpc.mp4/M-4GWomLbpc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/M-4GWomLbpc.mp4/M-4GWomLbpc.png", @@ -19052,12 +25824,12 @@ }, "factoring-trinomials-by-grouping-6": { "kind": "Video", - "description": "U09_L1_T3_we3 Factoring Trinomials by Grouping 6", - "title": "Factoring Trinomials by Grouping 6", + "description": "Factoring Trinomials by Grouping 6", + "title": "Example 6: Factoring by grouping", "duration": 317, "youtube_id": "d-2Lcp0QKfI", "keywords": "U09_L1_T3_we3, Factoring, Trinomials, by, Grouping, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", - "path": "/math/algebra/polynomials/v/factoring-trinomials-by-grouping-6/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/v/factoring-trinomials-by-grouping-6/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/d-2Lcp0QKfI.mp4/d-2Lcp0QKfI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/d-2Lcp0QKfI.mp4/d-2Lcp0QKfI.png", @@ -19068,12 +25840,12 @@ }, "factoring-trinomials-by-grouping-5": { "kind": "Video", - "description": "U09_L1_T3_we2 Factoring Trinomials by Grouping 5", - "title": "Factoring Trinomials by Grouping 5", + "description": "Factoring Trinomials by Grouping 5", + "title": "Example 5: Factoring by grouping", "duration": 286, "youtube_id": "R-rhSQzFJL0", "keywords": "U09_L1_T3_we2, Factoring, Trinomials, by, Grouping, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", - "path": "/math/algebra/polynomials/v/factoring-trinomials-by-grouping-5/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/v/factoring-trinomials-by-grouping-5/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/R-rhSQzFJL0.mp4/R-rhSQzFJL0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R-rhSQzFJL0.mp4/R-rhSQzFJL0.png", @@ -19084,12 +25856,12 @@ }, "factoring-trinomials-by-grouping-4": { "kind": "Video", - "description": "U09_L1_T3_we1 Factoring Trinomials by Grouping 4", - "title": "Factoring Trinomials by Grouping 4", + "description": "Factoring Trinomials by Grouping 4", + "title": "Example 4: Factoring by grouping", "duration": 235, "youtube_id": "u1SAo2GiX8A", "keywords": "U09_L1_T3_we1, Factoring, Trinomials, by, Grouping, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Hypertension symptoms and categories", + "duration": 507, + "youtube_id": "8aeivxR1GDc", + "keywords": "", + "path": "/science/healthcare-and-medicine/hypertension/v/hypertension-symptoms-and-categories/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TZ7d5kjAlQw.mp4/TZ7d5kjAlQw.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/TZ7d5kjAlQw.mp4/TZ7d5kjAlQw.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TZ7d5kjAlQw.m3u8/TZ7d5kjAlQw.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8aeivxR1GDc.mp4/8aeivxR1GDc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/8aeivxR1GDc.mp4/8aeivxR1GDc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8aeivxR1GDc.m3u8/8aeivxR1GDc.m3u8" }, - "slug": "using-reserves-to-stablize-currency", - "readable_id": "using-reserves-to-stablize-currency" + "slug": "hypertension-symptoms-and-categories", + "readable_id": "hypertension-symptoms-and-categories" + }, + "damascus-room": { + "kind": "Video", + "description": "Reception Room (Qa'a), Ottoman period, 1119 a.h. / 1707 a.d., Damascus, Syria, poplar, gesso relief with gold and tin leaf, glazes and paint; cypress, poplar, walnut, black mulberry, mother-of pearl, marble and other stones, stucco with glass, plaster, ceramic tiles, iron, brass, 22 feet and a 1/2 inch high x 16 feet, 8-1/2 inches deep x 26 feet, 4-3/4 inches long, Metropolitan Museum of Art\n\nA conversation between Dr. Elizabeth Macaulay-Lewis and Dr. Steven Zucker in the Damascus Room", + "title": "Qa'a: The Damascus Room", + "duration": 400, + "youtube_id": "n9C7sMb7MmI", + "keywords": "", + "path": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/v/damascus-room/", + "download_urls": null, + "slug": "damascus-room", + "readable_id": "damascus-room" }, "interesting-perimeter-and-area-problems": { "kind": "Video", @@ -19596,12 +26348,12 @@ }, "commutative-property-for-addition": { "kind": "Video", - "description": "U09_L3_T1_we1 Commutative Property for Addition", + "description": "Commutative Property for Addition", "title": "Commutative Property for Addition", "duration": 203, "youtube_id": "UeG_EYd-0xw", "keywords": "U09_L3_T1_we1, Commutative, Property, for, Addition, CC_1_OA_3", - "path": "/math/arithmetic/number-properties/v/commutative-property-for-addition/", + "path": "/math/arithmetic/order-of-operations/arithmetic_properties/v/commutative-property-for-addition/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/UeG_EYd-0xw.mp4/UeG_EYd-0xw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UeG_EYd-0xw.mp4/UeG_EYd-0xw.png", @@ -19633,7 +26385,7 @@ "duration": 1063, "youtube_id": "L0CmbneYETs", "keywords": "matrix, augmented, echelon", - "path": "/math/linear-algebra/v/matrices--reduced-row-echelon-form-1/", + "path": "/math/linear-algebra/vectors_and_spaces/matrices_elimination/v/matrices--reduced-row-echelon-form-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/L0CmbneYETs.mp4/L0CmbneYETs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/L0CmbneYETs.mp4/L0CmbneYETs.png", @@ -19649,7 +26401,7 @@ "duration": 457, "youtube_id": "lP1DGtZ8Wys", "keywords": "matrix, augmented, echelon", - "path": "/math/linear-algebra/v/matrices--reduced-row-echelon-form-2/", + "path": "/math/linear-algebra/vectors_and_spaces/matrices_elimination/v/matrices--reduced-row-echelon-form-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lP1DGtZ8Wys.mp4/lP1DGtZ8Wys.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lP1DGtZ8Wys.mp4/lP1DGtZ8Wys.png", @@ -19665,7 +26417,7 @@ "duration": 728, "youtube_id": "JVDrlTdzxiI", "keywords": "matrix, augmented, echelon", - "path": "/math/linear-algebra/v/matrices--reduced-row-echelon-form-3/", + "path": "/math/linear-algebra/vectors_and_spaces/matrices_elimination/v/matrices--reduced-row-echelon-form-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/JVDrlTdzxiI.mp4/JVDrlTdzxiI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JVDrlTdzxiI.mp4/JVDrlTdzxiI.png", @@ -19677,11 +26429,11 @@ "equations-with-variables-on-both-sides": { "kind": "Video", "description": "Equations with Variables on Both Sides", - "title": "Equations with Variables on Both Sides", + "title": "Ex 3: Distributive property to simplify ", "duration": 568, "youtube_id": "xMsG9hvqzbY", "keywords": "Variables, On, Both, Sides, equations, CC_39336_A-REI_3", - "path": "/math/algebra/ck12-algebra-1/v/equations-with-variables-on-both-sides/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/equations-with-variables-on-both-sides/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xMsG9hvqzbY.mp4/xMsG9hvqzbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xMsG9hvqzbY.mp4/xMsG9hvqzbY.png", @@ -19724,12 +26476,12 @@ }, "inequalities-on-a-number-line": { "kind": "Video", - "description": "u10_l2_t1_we1 Inequalities on a number line", + "description": "Inequalities on a number line", "title": "Inequalities on a number line", "duration": 94, "youtube_id": "dTwZ5N126gw", "keywords": "u10_l2_t1_we1, Inequalities, on, number, line, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4", - "path": "/math/algebra/solving-linear-equations-and-inequalities/inequalities/v/inequalities-on-a-number-line/", + "path": "/math/algebra/linear_inequalities/inequalities/v/inequalities-on-a-number-line/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dTwZ5N126gw.mp4/dTwZ5N126gw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dTwZ5N126gw.mp4/dTwZ5N126gw.png", @@ -19793,7 +26545,7 @@ "duration": 330, "youtube_id": "gyqodNhM3EU", "keywords": "probability, combinations, choose", - "path": "/math/probability/v/mega-millions-jackpot-probability/", + "path": "/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/mega-millions-jackpot-probability/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gyqodNhM3EU.mp4/gyqodNhM3EU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gyqodNhM3EU.mp4/gyqodNhM3EU.png", @@ -19818,14 +26570,30 @@ "slug": "maxwell-s-demon", "readable_id": "maxwell-s-demon" }, + "conformations-of-cyclohexane-ii--monosubstituted": { + "kind": "Video", + "description": "For a link to a virtual molecular model set:\n\nhttp://www.chem.fsu.edu/schwartz/organic_links.html", + "title": "conformations of cyclohexane II: monosubstituted", + "duration": 687, + "youtube_id": "DdLDu5BCgck", + "keywords": "", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations-alkanes-cycloalkanes/v/conformations-of-cyclohexane-ii--monosubstituted/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/DdLDu5BCgck.mp4/DdLDu5BCgck.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/DdLDu5BCgck.mp4/DdLDu5BCgck.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DdLDu5BCgck.m3u8/DdLDu5BCgck.m3u8" + }, + "slug": "conformations-of-cyclohexane-ii--monosubstituted", + "readable_id": "conformations-of-cyclohexane-ii--monosubstituted" + }, "application-problems-with-equation-in-one-variable": { "kind": "Video", - "description": "u10_l1_t3_we2 Application problems with equation in one variable", + "description": "Application problems with equation in one variable", "title": "Example: Dimensions of a garden", "duration": 122, "youtube_id": "iimpwYBiKNg", "keywords": "u10_l1_t3_we2, Application, problems, with, equation, in, one, variable, CC_3_MD_8, CC_4_MD_3, CC_6_EE_2_c, CC_6_EE_6, CC_7_EE_4, CC_7_EE_4_a, CC_8_EE_7_a", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/application-problems-with-equation-in-one-variable/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/application-problems-with-equation-in-one-variable/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/iimpwYBiKNg.mp4/iimpwYBiKNg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iimpwYBiKNg.mp4/iimpwYBiKNg.png", @@ -19852,12 +26620,12 @@ }, "unit-conversion-with-fractions": { "kind": "Video", - "description": "u6_l1_t1_we1 Unit Conversion with Fractions", + "description": "Unit Conversion with Fractions", "title": "Unit Conversion with Fractions", "duration": 348, "youtube_id": "jFSenp9ueaI", "keywords": "u6_l1_t1_we1, Unit, Conversion, with, Fractions", - "path": "/math/algebra/rational-expressions/v/unit-conversion-with-fractions/", + "path": "/math/arithmetic/rates-and-ratios/unit_conversion/v/unit-conversion-with-fractions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jFSenp9ueaI.mp4/jFSenp9ueaI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jFSenp9ueaI.mp4/jFSenp9ueaI.png", @@ -19882,6 +26650,22 @@ "slug": "prime-number-theorem--the-density-of-primes", "readable_id": "prime-number-theorem--the-density-of-primes" }, + "sat-prep--test-7-section-2-part-2": { + "kind": "Video", + "description": "Problems 7-12 starting on page 776", + "title": "SAT Prep: Test 7 Section 2 Part 2", + "duration": 580, + "youtube_id": "FhUj7sF00VM", + "keywords": "Math, SAT, Prep", + "path": "/test-prep/sat-math/v/sat-prep--test-7-section-2-part-2/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/FhUj7sF00VM.mp4/FhUj7sF00VM.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/FhUj7sF00VM.mp4/FhUj7sF00VM.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FhUj7sF00VM.m3u8/FhUj7sF00VM.m3u8" + }, + "slug": "sat-prep--test-7-section-2-part-2", + "readable_id": "sat-prep--test-7-section-2-part-2" + }, "gmat--data-sufficiency-20": { "kind": "Video", "description": "87-90, pg. 285", @@ -19898,30 +26682,46 @@ "slug": "gmat--data-sufficiency-20", "readable_id": "gmat--data-sufficiency-20" }, - 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Seeing how large obligations are for social security and medicare", + "title": "Government's Financial Condition", + "duration": 632, + "youtube_id": "LOiw5aBrm4Y", + "keywords": "finance, economics, budget, deficit, debt", + "path": "/humanities/american-civics/v/government-s-financial-condition/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/LOiw5aBrm4Y.mp4/LOiw5aBrm4Y.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/LOiw5aBrm4Y.mp4/LOiw5aBrm4Y.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LOiw5aBrm4Y.m3u8/LOiw5aBrm4Y.m3u8" + }, + "slug": "government-s-financial-condition", + "readable_id": "government-s-financial-condition" }, "ordered-pair-solutions-of-equations": { "kind": "Video", - "description": "u13_l1_t2_we3 Ordered pair solutions of equations", + "description": " Ordered pair solutions of equations", "title": "Ordered pair solutions of equations", "duration": 89, "youtube_id": "HUn4XwV7o9I", "keywords": "u13_l1_t2_we3, Ordered, pair, solutions, of, equations, CC_8_EE_7_a, CC_39336_A-REI_10", - "path": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane/v/ordered-pair-solutions-of-equations/", + "path": "/math/trigonometry/graphs/graphing_coordinates/v/ordered-pair-solutions-of-equations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/HUn4XwV7o9I.mp4/HUn4XwV7o9I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HUn4XwV7o9I.mp4/HUn4XwV7o9I.png", @@ -19937,7 +26737,7 @@ "duration": 678, "youtube_id": "vFfriC55fFw", "keywords": "Friedel, Crafts, Acylation, Acetyl, Chloride, Benzene, Electrophilic, Aromatic, Substitution", - "path": "/science/organic-chemistry/v/friedel-crafts-acylation/", + "path": "/science/organic-chemistry/aromatic-compounds/reactions-benzene/v/friedel-crafts-acylation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/vFfriC55fFw.mp4/vFfriC55fFw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vFfriC55fFw.mp4/vFfriC55fFw.png", @@ -19948,12 +26748,12 @@ }, "using-the-quadratic-formula": { "kind": "Video", - "description": "Using the Quadratic Formula", - "title": "Using the Quadratic Formula", + "description": "Introduction to using the quadratic formula.", + "title": "How to Use the Quadratic Formula", "duration": 992, "youtube_id": "i7idZfS8t8w", "keywords": "Using, the, Quadratic, Formula, CC_39336_A-REI_4_b", - "path": "/math/algebra/ck12-algebra-1/v/using-the-quadratic-formula/", + "path": "/math/trigonometry/polynomial_and_rational/quad_formula_tutorial/v/using-the-quadratic-formula/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/i7idZfS8t8w.mp4/i7idZfS8t8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i7idZfS8t8w.mp4/i7idZfS8t8w.png", @@ -19962,6 +26762,22 @@ "slug": "using-the-quadratic-formula", "readable_id": "using-the-quadratic-formula" }, + "hydrogenation": { + "kind": "Video", + "description": "", + "title": "hydrogenation", + "duration": 702, + "youtube_id": "fSk1Crn3R2E", + "keywords": "", + "path": "/science/organic-chemistry/alkenes-alkynes/alkene-reactions-tutorial/v/hydrogenation/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/fSk1Crn3R2E.mp4/fSk1Crn3R2E.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/fSk1Crn3R2E.mp4/fSk1Crn3R2E.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fSk1Crn3R2E.m3u8/fSk1Crn3R2E.m3u8" + }, + "slug": "hydrogenation", + "readable_id": "hydrogenation" + }, "umbo--otto-umbehr---the-roving-reporter--1926": { "kind": "Video", "description": "Umbo (Otto Umbehr), The Roving Reporter, photomontage (rephotographed), 1926\n\nSpeakers: Dr. Juliana Kreinik, Dr. Steven Zucker, Dr. Beth Harris", @@ -20001,7 +26817,7 @@ "duration": 513, "youtube_id": "fWan_T0enj4", "keywords": "subtraction, borrowing, math, carrying, regrouping, CC_2_NBT_9", - 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(Alte Pinakothek, Munich)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", + "title": "Titian's Christ Crowned with Thorns", + "duration": 288, + "youtube_id": "ZVUH4-Wsdwg", + "keywords": "", + "path": "/humanities/art-history/art-history-1500-1600-end-of-the-renaissance-and-the-reformation/v/titian--christ-crowned-with-thorns--c--1570-76/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SEtkn9S-WHY.mp4/SEtkn9S-WHY.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/SEtkn9S-WHY.mp4/SEtkn9S-WHY.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SEtkn9S-WHY.m3u8/SEtkn9S-WHY.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZVUH4-Wsdwg.mp4/ZVUH4-Wsdwg.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/ZVUH4-Wsdwg.mp4/ZVUH4-Wsdwg.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZVUH4-Wsdwg.m3u8/ZVUH4-Wsdwg.m3u8" }, - "slug": "gmat-math-27", - "readable_id": "gmat-math-27" + "slug": "titian--christ-crowned-with-thorns--c--1570-76", + "readable_id": "titian--christ-crowned-with-thorns--c--1570-76" }, "radius-of-observable-universe": { "kind": "Video", @@ -20801,7 +27617,7 @@ "duration": 999, "youtube_id": "6nVysrZQnOQ", "keywords": "Radius, of, Observable, Universe, cosmos, cosmology, astronomy", - 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"path": "/finance-economics/macroeconomics/v/accumulating-foreign-currency-reserves/", + "path": "/science/macroeconomics/forex-trade-topic/currency-reserves/v/accumulating-foreign-currency-reserves/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/HiphWQfB6J0.mp4/HiphWQfB6J0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HiphWQfB6J0.mp4/HiphWQfB6J0.png", @@ -21089,7 +27921,7 @@ "duration": 263, "youtube_id": "fr-8tjLoeDw", "keywords": "ap, advanced, placement, calculus, exam", - "path": "/math/calculus/integral-calculus/v/2011-calculus-ab-free-response--6a/", + "path": "/math/calculus/ap_calc_topic/ab_examples/v/2011-calculus-ab-free-response--6a/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/fr-8tjLoeDw.mp4/fr-8tjLoeDw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fr-8tjLoeDw.mp4/fr-8tjLoeDw.png", @@ -21105,7 +27937,7 @@ "duration": 315, "youtube_id": "RuEJzPQ_N10", "keywords": "AP, advanced, placement, exam", - 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"path": "/math/differential-equations/v/repeated-roots-of-the-characterisitic-equations-part-2/", + "path": "/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/v/repeated-roots-of-the-characterisitic-equations-part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YezsgIlcb68.mp4/YezsgIlcb68.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YezsgIlcb68.mp4/YezsgIlcb68.png", @@ -21169,7 +28001,7 @@ "duration": 847, "youtube_id": "v4Fq9LEspzw", "keywords": "earnings, before, interest, taxes, depreciation, amortization, EBITDA", - "path": "/finance-economics/valuation-and-investing/v/ebitda/", + "path": "/science/core-finance/stock-and-bonds/valuation-and-investing/v/ebitda/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/v4Fq9LEspzw.mp4/v4Fq9LEspzw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v4Fq9LEspzw.mp4/v4Fq9LEspzw.png", @@ -21185,7 +28017,7 @@ "duration": 820, "youtube_id": "aKhhYguY0DQ", "keywords": "matrix, multiplication, multiplying, matrices", - 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"slug": "gmat--data-sufficiency-19", - "readable_id": "gmat--data-sufficiency-19" + "slug": "celebrity---art--leonardo-s--mona-lisa", + "readable_id": "celebrity---art--leonardo-s--mona-lisa" }, "gmat--data-sufficiency-18": { "kind": "Video", @@ -21633,7 +28449,7 @@ "duration": 982, "youtube_id": "99pD1-6ZpuM", "keywords": "scalar, field, path, direction, vector, calculus", - "path": "/math/calculus/multivariable-calculus/v/scalar-field-line-integral-independent-of-path-direction/", + "path": "/math/calculus/line_integrals_topic/line_integrals_vectors/v/scalar-field-line-integral-independent-of-path-direction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/99pD1-6ZpuM.mp4/99pD1-6ZpuM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/99pD1-6ZpuM.mp4/99pD1-6ZpuM.png", @@ -21649,7 +28465,7 @@ "duration": 708, "youtube_id": "nH2-37rTA8U", "keywords": "fractional, reserve, banking, multiplier, effect, money, supply", - "path": "/finance-economics/banking-and-money/v/banking-3--fractional-reserve-banking/", + "path": "/science/core-finance/money-and-banking/banking-and-money/v/banking-3--fractional-reserve-banking/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/nH2-37rTA8U.mp4/nH2-37rTA8U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nH2-37rTA8U.mp4/nH2-37rTA8U.png", @@ -21697,7 +28513,7 @@ "duration": 547, "youtube_id": "15zliAL4llE", "keywords": "physics, projectile, acceleration, gravity, velocity", - 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"path": "/math/arithmetic/addition-subtraction/v/addition-3/", + "path": "/math/arithmetic/addition-subtraction/addition_carrying/v/addition-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/e_SpXIw_Qts.mp4/e_SpXIw_Qts.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/e_SpXIw_Qts.mp4/e_SpXIw_Qts.png", @@ -22001,7 +28829,7 @@ "duration": 746, "youtube_id": "t2L3JFOqTEk", "keywords": "arithmetic, addition, 2-digit, CC_1_NBT_2, CC_1_NBT_2_b, CC_1_NBT_2_c, CC_1_NBT_3, CC_1_NBT_5, CC_1_OA_6", - "path": "/math/arithmetic/addition-subtraction/v/addition-2/", + "path": "/math/arithmetic/addition-subtraction/two_dig_add_sub/v/addition-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/t2L3JFOqTEk.mp4/t2L3JFOqTEk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t2L3JFOqTEk.mp4/t2L3JFOqTEk.png", @@ -22028,12 +28856,12 @@ }, "quotient-of-functions": { "kind": "Video", - "description": "u17_l3_t1_we4 Quotient of functions and factoring by grouping", + "description": "Quotient of functions and factoring by grouping", "title": "Quotient of Functions", "duration": 378, "youtube_id": "u9v_bakOIcU", "keywords": "u17_l3_t1_we4, Quotient, of, Functions", - "path": "/math/algebra/algebra-functions/v/quotient-of-functions/", + "path": "/math/trigonometry/functions_and_graphs/function_introduction/v/quotient-of-functions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/u9v_bakOIcU.mp4/u9v_bakOIcU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u9v_bakOIcU.mp4/u9v_bakOIcU.png", @@ -22138,21 +28966,21 @@ "slug": "photosynthesis---light-reactions-and-photophosphorylation", "readable_id": "photosynthesis---light-reactions-and-photophosphorylation" }, - "stroke-work-in-pv-loops-and-boxes": { + "ex-2-age-word-problem": { "kind": "Video", - "description": "Watch how PV loops can be \"morphed\" into PV boxes to make drawing them and thinking about them much simpler. Rishi is a pediatric infectious disease physician and works at Khan Academy.", - "title": "Stroke Work in PV Loops and Boxes", - "duration": 413, - "youtube_id": "aFV9dk5PsPA", + "description": "In 40 years, Imran will be 11 times as old as he is right now. How old is he right now?", + "title": "Ex 2 Age word problem", + "duration": 223, + "youtube_id": "KyHvVJWjW6Y", "keywords": "", - "path": "/science/healthcare-and-medicine/changing-the-PV-loop/v/stroke-work-in-pv-loops-and-boxes/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/v/ex-2-age-word-problem/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/aFV9dk5PsPA.mp4/aFV9dk5PsPA.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/aFV9dk5PsPA.mp4/aFV9dk5PsPA.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/aFV9dk5PsPA.m3u8/aFV9dk5PsPA.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/KyHvVJWjW6Y.mp4/KyHvVJWjW6Y.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/KyHvVJWjW6Y.mp4/KyHvVJWjW6Y.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KyHvVJWjW6Y.m3u8/KyHvVJWjW6Y.m3u8" }, - "slug": "stroke-work-in-pv-loops-and-boxes", - "readable_id": "stroke-work-in-pv-loops-and-boxes" + "slug": "ex-2-age-word-problem", + "readable_id": "ex-2-age-word-problem" }, "ab-ex-ny--the-painting-techniques-of-jackson-pollock--one--number-31--1950": { "kind": "Video", @@ -22193,7 +29021,7 @@ "duration": 394, "youtube_id": "TGgOCc5hoHA", "keywords": "amplitude, period, trig", - "path": "/math/trigonometry/v/matching-a-trigonometric-function-to-its-graph/", + "path": "/math/trigonometry/basic-trigonometry/trig_graphs_tutorial/v/matching-a-trigonometric-function-to-its-graph/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TGgOCc5hoHA.mp4/TGgOCc5hoHA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TGgOCc5hoHA.mp4/TGgOCc5hoHA.png", @@ -22241,7 +29069,7 @@ "duration": 1094, "youtube_id": "x1z0hOyjapU", "keywords": "matrix, multiplying, product", - "path": "/math/linear-algebra/v/linear-algebra--matrix-product-examples/", + "path": "/math/linear-algebra/matrix_transformations/composition_of_transformations/v/linear-algebra--matrix-product-examples/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/x1z0hOyjapU.mp4/x1z0hOyjapU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x1z0hOyjapU.mp4/x1z0hOyjapU.png", @@ -22252,12 +29080,12 @@ }, "identifying-fraction-parts": { "kind": "Video", - "description": "U02_l1_T1_we2 Identifying Fraction Parts", + "description": "Identifying Fraction Parts", "title": "Identifying Fraction Parts", "duration": 167, "youtube_id": "-a_w0_VAo6U", "keywords": "U02_l1_T1_we2, Identifying, Fraction, Parts", - "path": "/math/arithmetic/fractions/v/identifying-fraction-parts/", + "path": "/math/arithmetic/fractions/understanding_fractions/v/identifying-fraction-parts/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-a_w0_VAo6U.mp4/-a_w0_VAo6U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-a_w0_VAo6U.mp4/-a_w0_VAo6U.png", @@ -22266,21 +29094,21 @@ "slug": "identifying-fraction-parts", "readable_id": "identifying-fraction-parts" }, - "exchange-traded-funds--etfs": { + "alkane-and-cycloalkane-nomenclature-ii": { "kind": "Video", - "description": "Comparing ETF's, open-end, and closed-end funds", - "title": "Exchange Traded Funds (ETFs)", - "duration": 302, - "youtube_id": "SFdsY9Rdh6w", - "keywords": "ETFs", - "path": "/finance-economics/core-finance/v/exchange-traded-funds--etfs/", + "description": "Correction: 2,2,6,6,7-pentamethyloctane is the correct name. I put a dash instead of a comma between the 6 and the 7 on the video.", + "title": "alkane and cycloalkane nomenclature II", + "duration": 760, + "youtube_id": "9tEnXUuHkp4", + "keywords": "", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes-cycloalkanes-bicyclic/v/alkane-and-cycloalkane-nomenclature-ii/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SFdsY9Rdh6w.mp4/SFdsY9Rdh6w.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/SFdsY9Rdh6w.mp4/SFdsY9Rdh6w.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SFdsY9Rdh6w.m3u8/SFdsY9Rdh6w.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9tEnXUuHkp4.mp4/9tEnXUuHkp4.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/9tEnXUuHkp4.mp4/9tEnXUuHkp4.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9tEnXUuHkp4.m3u8/9tEnXUuHkp4.m3u8" }, - "slug": "exchange-traded-funds--etfs", - "readable_id": "exchange-traded-funds--etfs" + "slug": "alkane-and-cycloalkane-nomenclature-ii", + "readable_id": "alkane-and-cycloalkane-nomenclature-ii" }, "earth-formation": { "kind": "Video", @@ -22289,7 +29117,7 @@ "duration": 608, "youtube_id": "VbNXh0GaLYo", "keywords": "hadean, eon, earth, solar, system, formation, marquee", - "path": "/science/cosmology-and-astronomy/v/earth-formation/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/earth-formation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VbNXh0GaLYo.mp4/VbNXh0GaLYo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VbNXh0GaLYo.mp4/VbNXh0GaLYo.png", @@ -22321,7 +29149,7 @@ "duration": 176, "youtube_id": "CFBKfgGTP98", "keywords": "Correction, 2-Propylheptane, should, never, be, the, name!", - "path": "/science/organic-chemistry/v/correction---2-propylheptane-should-never-be-the-name/", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/correction---2-propylheptane-should-never-be-the-name/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/CFBKfgGTP98.mp4/CFBKfgGTP98.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CFBKfgGTP98.mp4/CFBKfgGTP98.png", @@ -22348,12 +29176,12 @@ }, "identifying-parallel-and-perpendicular-lines": { "kind": "Video", - "description": "u07_l1_t2_we1 Identifying Parallel and Perpendicular Lines", + "description": "Identifying Parallel and Perpendicular Lines", "title": "Identifying Parallel and Perpendicular Lines", "duration": 215, "youtube_id": "aq_XL6FrmGs", "keywords": "u07_l1_t2_we1, Identifying, Parallel, and, Perpendicular, Lines", - "path": "/math/geometry/intro-to-euclidean-geo/v/identifying-parallel-and-perpendicular-lines/", + "path": "/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/identifying-parallel-and-perpendicular-lines/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/aq_XL6FrmGs.mp4/aq_XL6FrmGs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aq_XL6FrmGs.mp4/aq_XL6FrmGs.png", @@ -22378,14 +29206,30 @@ "slug": "optimal-potatoes", "readable_id": "optimal-potatoes" }, + "gross-and-operating-profit": { + "kind": "Video", + "description": "Difference between gross profit, operating profit, and net income.", + "title": "Gross and Operating Profit", + "duration": 235, + "youtube_id": "7MjHWw3p710", + "keywords": "", + "path": "/science/core-finance/stock-and-bonds/company-statements-capital-struc/v/gross-and-operating-profit/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/7MjHWw3p710.mp4/7MjHWw3p710.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/7MjHWw3p710.mp4/7MjHWw3p710.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7MjHWw3p710.m3u8/7MjHWw3p710.m3u8" + }, + "slug": "gross-and-operating-profit", + "readable_id": "gross-and-operating-profit" + }, "consistent-and-inconsistent-systems": { "kind": "Video", - "description": "u14_l1_t1_we3 Consistent and Inconsistent Systems", + "description": "Consistent and Inconsistent Systems", "title": "Consistent and Inconsistent Systems", "duration": 329, "youtube_id": "Ix8Nne-a-KQ", "keywords": "u14_l1_t1_we3, Consistent, and, Inconsistent, Systems, CC_8_EE_8_a, CC_8_EE_8_b", - "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/v/consistent-and-inconsistent-systems/", + "path": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc/v/consistent-and-inconsistent-systems/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ix8Nne-a-KQ.mp4/Ix8Nne-a-KQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ix8Nne-a-KQ.mp4/Ix8Nne-a-KQ.png", @@ -22396,7 +29240,7 @@ }, "finding-missing-angles": { "kind": "Video", - "description": "u07_l1_t2_we3 Finding Missing Angles", + "description": "Finding Missing Angles", "title": "Finding Missing Angles", "duration": 101, "youtube_id": "z8BoVhTkaBw", @@ -22417,7 +29261,7 @@ "duration": 606, "youtube_id": "Ysk1ySejuCQ", "keywords": "Currency, Effect, on, Trade, Review", - "path": "/finance-economics/currency/v/currency-effect-on-trade-review/", + "path": "/science/core-finance/money-and-banking/currency-tutorial/v/currency-effect-on-trade-review/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ysk1ySejuCQ.mp4/Ysk1ySejuCQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ysk1ySejuCQ.mp4/Ysk1ySejuCQ.png", @@ -22465,7 +29309,7 @@ "duration": 477, "youtube_id": "yEAxG_D1HDw", "keywords": "logarithm, properties, proof, algebra, math, khan", - "path": "/math/algebra/logarithms-tutorial/v/proof--a-log-b----log--b-a---log-a---log-b---log--a-b/", + "path": "/math/algebra/logarithms-tutorial/logarithm_properties/v/proof--a-log-b----log--b-a---log-a---log-b---log--a-b/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/yEAxG_D1HDw.mp4/yEAxG_D1HDw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yEAxG_D1HDw.mp4/yEAxG_D1HDw.png", @@ -22476,12 +29320,12 @@ }, "example-of-solving-for-a-variable": { "kind": "Video", - "description": "U02_L1_T4_we1 : Example of solving for a variable", + "description": "Example of solving for a variable", "title": "Example: Solving for a variable", "duration": 418, "youtube_id": "Aig1hkq3OsU", "keywords": "U02_L1_T4_we1, algebra, solving, variable, CC_6_EE_2_c, CC_6_EE_6, CC_7_EE_4_a, CC_8_EE_7_b, CC_39336_A-REI_3", - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/example-of-solving-for-a-variable/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/example-of-solving-for-a-variable/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Aig1hkq3OsU.mp4/Aig1hkq3OsU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Aig1hkq3OsU.mp4/Aig1hkq3OsU.png", @@ -22492,12 +29336,12 @@ }, "the-distributive-property": { "kind": "Video", - "description": "U01_L4_T2_we1 The Distributive Property", + "description": "The Distributive Property", "title": "The Distributive Property", "duration": 296, "youtube_id": "gl_-E6iVAg4", "keywords": "U01_L4_T2_we1, The, Distributive, Property, CC_3_OA_5, CC_5_OA_1, CC_6_EE_3, CC_6_NS_4, CC_7_EE_1", - 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"title": "Factoring Quadratic Expressions", + "title": "Factoring quadratic expressions", "duration": 990, "youtube_id": "eF6zYNzlZKQ", "keywords": "Factoring, Quadratic, Expressions, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_a, CC_39336_F-IF_8_a", - "path": "/math/algebra/ck12-algebra-1/v/factoring-quadratic-expressions/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/v/factoring-quadratic-expressions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/eF6zYNzlZKQ.mp4/eF6zYNzlZKQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eF6zYNzlZKQ.mp4/eF6zYNzlZKQ.png", @@ -22586,6 +29430,22 @@ "slug": "sat-prep--test-5-section-9-part-4", "readable_id": "sat-prep--test-5-section-9-part-4" }, + "lebron-asks---what-muscles-do-we-use-when-shooting-a-basket": { + "kind": "Video", + "description": "LeBron James asks Sal Khan about which muscles we use when we shoot a basket.", + "title": "LeBron Asks: What muscles do we use when shooting a basket?", + "duration": 195, + "youtube_id": "9qEaVwIXqR4", + "keywords": "lebron, khan", + "path": "/science/lebron-asks/v/lebron-asks---what-muscles-do-we-use-when-shooting-a-basket/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9qEaVwIXqR4.mp4/9qEaVwIXqR4.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/9qEaVwIXqR4.mp4/9qEaVwIXqR4.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9qEaVwIXqR4.m3u8/9qEaVwIXqR4.m3u8" + }, + "slug": "lebron-asks---what-muscles-do-we-use-when-shooting-a-basket", + "readable_id": "lebron-asks---what-muscles-do-we-use-when-shooting-a-basket" + }, "heat-of-formation": { "kind": "Video", "description": "Standard heat of formation or standard enthalpy change of formation.", @@ -22625,7 +29485,7 @@ "duration": 545, "youtube_id": "vAtQB9wLkUA", "keywords": "", - 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Beth Harris and Steven Zucker\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html\n\nhttp://www.smarthistory.org/jean-francois-millet-french-the-gleaners-1857.html", @@ -24321,7 +31273,7 @@ "duration": 722, "youtube_id": "3e0ScEkz8oU", "keywords": "Sn1, Reactions", - "path": "/science/organic-chemistry/v/sn1-reactions/", + "path": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/v/sn1-reactions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3e0ScEkz8oU.mp4/3e0ScEkz8oU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3e0ScEkz8oU.mp4/3e0ScEkz8oU.png", @@ -24332,7 +31284,7 @@ }, "finding-cube-roots": { "kind": "Video", - "description": "u16_l1_t2_we2 Finding Cube Roots", + "description": "Finding Cube Roots", "title": "Finding Cube Roots", "duration": 258, "youtube_id": "DKh16Th8x6o", @@ -24353,7 +31305,7 @@ "duration": 378, "youtube_id": "gHs3zuRek7o", "keywords": "microeconomics", - "path": "/finance-economics/microeconomics/v/adding-demand-curves/", + "path": "/science/microeconomics/firm-economic-profit/labor-marginal-product-rev/v/adding-demand-curves/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gHs3zuRek7o.mp4/gHs3zuRek7o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gHs3zuRek7o.mp4/gHs3zuRek7o.png", @@ -24385,7 +31337,7 @@ "duration": 493, "youtube_id": "9UhChwcVWq8", "keywords": "advanced, placement", - 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"slug": "deflationary-spiral", - "readable_id": "deflationary-spiral" + "slug": "halogenation-and-ozonolysis-of-alkynes", + "readable_id": "halogenation-and-ozonolysis-of-alkynes" }, "using-trig-functions": { "kind": "Video", @@ -24529,7 +31481,7 @@ "duration": 602, "youtube_id": "znR9tW4AiZI", "keywords": "Trigonometry, Trig, math, khan", - "path": "/math/trigonometry/v/using-trig-functions/", + "path": "/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/using-trig-functions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/znR9tW4AiZI.mp4/znR9tW4AiZI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/znR9tW4AiZI.mp4/znR9tW4AiZI.png", @@ -24540,7 +31492,7 @@ }, "fractional-exponent-expressions-3": { "kind": "Video", - "description": "U07_L3_T4_we3 Fractional Exponent Expressions 3", + "description": "Fractional Exponent Expressions 3", "title": "Fractional Exponent Expressions 3", "duration": 392, "youtube_id": "Ay0B6Kh9Y3Q", @@ -24556,7 +31508,7 @@ }, "fractional-exponent-expressions-2": { "kind": "Video", - "description": "U07_L3_T4_we2 Fractional Exponent Expressions 2", + "description": "Fractional Exponent Expressions 2", "title": "Fractional Exponent Expressions 2", "duration": 451, "youtube_id": "4F6cFLnAAFc", @@ -24572,7 +31524,7 @@ }, "fractional-exponent-expressions-1": { "kind": "Video", - "description": "U07_L3_T4_we1 Fractional Exponent Expressions 1", + "description": "Fractional Exponent Expressions 1", "title": "Fractional Exponent Expressions 1", "duration": 122, "youtube_id": "xjCnmPvcmOo", @@ -24609,7 +31561,7 @@ "duration": 552, "youtube_id": "5fcRSie63Hs", "keywords": "Functions, algebra, f(x), math, CC_39336_F-IF_4", - "path": "/math/algebra/algebra-functions/v/functions--part-iii/", + "path": "/math/trigonometry/functions_and_graphs/function_introduction/v/functions--part-iii/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5fcRSie63Hs.mp4/5fcRSie63Hs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5fcRSie63Hs.mp4/5fcRSie63Hs.png", @@ -24625,7 +31577,7 @@ "duration": 287, "youtube_id": "xE43JrjCpjE", "keywords": "Interest, Rate, Swap, 2", - "path": "/finance-economics/core-finance/v/interest-rate-swap-2/", + "path": "/science/core-finance/derivative-securities/interest-rate-swaps-tut/v/interest-rate-swap-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xE43JrjCpjE.mp4/xE43JrjCpjE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xE43JrjCpjE.mp4/xE43JrjCpjE.png", @@ -24657,7 +31609,7 @@ "duration": 957, "youtube_id": "sL6MC-lKOrw", "keywords": "implicit, differentiation, derivative, calculus", - "path": "/math/calculus/differential-calculus/v/implicit-differentiation/", + "path": "/math/calculus/differential-calculus/implicit_differentiation/v/implicit-differentiation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/sL6MC-lKOrw.mp4/sL6MC-lKOrw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sL6MC-lKOrw.mp4/sL6MC-lKOrw.png", @@ -24673,7 +31625,7 @@ "duration": 445, "youtube_id": "TSTLLFJbaA4", "keywords": "microeconomics", - "path": "/finance-economics/microeconomics/v/positive-externalities/", + "path": "/science/microeconomics/consumer-producer-surplus/externalities-topic/v/positive-externalities/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TSTLLFJbaA4.mp4/TSTLLFJbaA4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TSTLLFJbaA4.mp4/TSTLLFJbaA4.png", @@ -24689,7 +31641,7 @@ "duration": 978, "youtube_id": "T0zpF_j7Mvo", "keywords": "physics, projectile, motion, parabola", - "path": "/science/physics/mechanics/v/plotting-projectile-displacement--acceleration--and-velocity/", + "path": "/science/physics/one-dimensional-motion/kinematic_formulas/v/plotting-projectile-displacement--acceleration--and-velocity/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/T0zpF_j7Mvo.mp4/T0zpF_j7Mvo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T0zpF_j7Mvo.mp4/T0zpF_j7Mvo.png", @@ -24721,7 +31673,7 @@ "duration": 902, "youtube_id": "xjkSE9cPqzo", "keywords": "calculus, CC_39336_A-REI_4, CC_39336_A-SSE_3_a", - "path": "/math/calculus/differential-calculus/v/limit-examples-w--brain-malfunction-on-first-prob--part-4/", + "path": "/math/calculus/limits_topic/limits_tutorial/v/limit-examples-w--brain-malfunction-on-first-prob--part-4/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xjkSE9cPqzo.mp4/xjkSE9cPqzo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xjkSE9cPqzo.mp4/xjkSE9cPqzo.png", @@ -24785,7 +31737,7 @@ "duration": 477, "youtube_id": "VWlFMfPVmkU", "keywords": "More, Simplifying, Radical, Expressions", - "path": "/math/algebra/ck12-algebra-1/v/more-simplifying-radical-expressions/", + "path": "/math/arithmetic/exponents-radicals/radical-radicals/v/more-simplifying-radical-expressions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VWlFMfPVmkU.mp4/VWlFMfPVmkU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VWlFMfPVmkU.mp4/VWlFMfPVmkU.png", @@ -24801,7 +31753,7 @@ "duration": 848, "youtube_id": "T9byZBGtGuw", "keywords": "gold, money, banking, fractional, reserve", - "path": "/finance-economics/banking-and-money/v/banking-18--big-picture-discussion/", + "path": "/science/core-finance/money-and-banking/banking-and-money/v/banking-18--big-picture-discussion/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/T9byZBGtGuw.mp4/T9byZBGtGuw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T9byZBGtGuw.mp4/T9byZBGtGuw.png", @@ -24817,7 +31769,7 @@ "duration": 1034, "youtube_id": "K_fgnCJOI8I", "keywords": "path, independent, potential, conservative, line, integral, vector", - "path": "/math/calculus/multivariable-calculus/v/path-independence-for-line-integrals/", + "path": "/math/calculus/line_integrals_topic/line_integrals_vectors/v/path-independence-for-line-integrals/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/K_fgnCJOI8I.mp4/K_fgnCJOI8I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/K_fgnCJOI8I.mp4/K_fgnCJOI8I.png", @@ -24849,7 +31801,7 @@ "duration": 705, "youtube_id": "A3xPhzs-KBI", "keywords": "Compound, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-CED_3, CC_39336_A-REI_3", - "path": "/math/algebra/ck12-algebra-1/v/compound-inequalities/", + "path": "/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/compound-inequalities/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/A3xPhzs-KBI.mp4/A3xPhzs-KBI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/A3xPhzs-KBI.mp4/A3xPhzs-KBI.png", @@ -24897,7 +31849,7 @@ "duration": 280, "youtube_id": "sSE6_fK3mu0", "keywords": "proof, calculus, e^x, derivative, d/dx", - "path": "/math/calculus/differential-calculus/v/proof--d-dx-e-x----e-x/", + "path": "/math/calculus/differential-calculus/der_common_functions/v/proof--d-dx-e-x----e-x/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/sSE6_fK3mu0.mp4/sSE6_fK3mu0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sSE6_fK3mu0.mp4/sSE6_fK3mu0.png", @@ -24913,7 +31865,7 @@ "duration": 560, "youtube_id": "mkyZ45KQYi4", "keywords": "probability, statistics", - "path": "/math/probability/v/getting-at-least-one-heads/", + "path": "/math/probability/independent-dependent-probability/independent_events/v/getting-at-least-one-heads/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/mkyZ45KQYi4.mp4/mkyZ45KQYi4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mkyZ45KQYi4.mp4/mkyZ45KQYi4.png", @@ -24945,7 +31897,7 @@ "duration": 1008, "youtube_id": "KYoB2mjNdr0", "keywords": "french, revolution, napoleon, bonaparte", - "path": "/humanities/history/euro-hist/v/french-revolution--part-4----the-rise-of-napoleon-bonaparte/", + "path": "/humanities/history/euro-hist/napoleon-bonaparte/v/french-revolution--part-4----the-rise-of-napoleon-bonaparte/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/KYoB2mjNdr0.mp4/KYoB2mjNdr0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KYoB2mjNdr0.mp4/KYoB2mjNdr0.png", @@ -24961,7 +31913,7 @@ "duration": 538, "youtube_id": "RI874OSJp1U", "keywords": "probability, statistics, chance", - 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"path": "/finance-economics/microeconomics/v/taxes-and-perfectly-elastic-demand/", + "path": "/science/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/taxes-and-perfectly-elastic-demand/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/z1yJPpGC3-o.mp4/z1yJPpGC3-o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z1yJPpGC3-o.mp4/z1yJPpGC3-o.png", @@ -25482,21 +32466,21 @@ "slug": "getting-a-new-heart", "readable_id": "getting-a-new-heart" }, - "mies-van-der-rohe--seagram-building--new-york-city--1958": { + "sn1-sn2-e1-e2-reactions--primary-and-tertiary-alkyl-halides": { "kind": "Video", - "description": "Ludwig Mies van der Rohe, Seagram Building, 375 Park Avenue, New York City (1958)\n\nSpeakers: Dr. Matthew Postal, Dr. Steven Zucker\n\nhttp://smarthistory.org/mies-van-der-rohes-seagram-building.html\nNote: In the video I call Le Corbusier a French architect. This is somewhat reductionist since he was born in Swizerland and became a French citizen in 1930. 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"path": "/finance-economics/paulson-bailout/v/bailout-12--lone-star-transaction/", + "path": "/science/core-finance/money-and-banking/bank-bailout/v/bailout-12--lone-star-transaction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/eZZkhSl8lMA.mp4/eZZkhSl8lMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eZZkhSl8lMA.mp4/eZZkhSl8lMA.png", @@ -25738,37 +32706,21 @@ "slug": "bailout-12--lone-star-transaction", "readable_id": "bailout-12--lone-star-transaction" }, - "bit-zee-s-bumper-switches": { - "kind": "Video", - "description": "In this video we create and wire Bit-zee's bumper switches", - "title": "25. 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"path": "/math/linear-algebra/v/linear-algebra--exploring-the-solution-set-of-ax-b/", + "path": "/math/linear-algebra/matrix_transformations/inverse_transformations/v/linear-algebra--exploring-the-solution-set-of-ax-b/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1PsNIzUJPkc.mp4/1PsNIzUJPkc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1PsNIzUJPkc.mp4/1PsNIzUJPkc.png", @@ -25825,7 +32777,7 @@ "duration": 618, "youtube_id": "kpqSeXpiM6k", "keywords": "toxic, asset, price, discovery, geithner, obama", - "path": "/finance-economics/geithner-plan/v/geithner-5--a-better-solution/", + "path": "/science/core-finance/money-and-banking/geithner-plan/v/geithner-5--a-better-solution/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/kpqSeXpiM6k.mp4/kpqSeXpiM6k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kpqSeXpiM6k.mp4/kpqSeXpiM6k.png", @@ -25857,7 +32809,7 @@ "duration": 214, "youtube_id": "VeZ3_VZytPw", "keywords": "smarthistory, Khan Academy, Art History, Basilica, Rome, Santa Sabina", - 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"path": "/math/arithmetic/negative-numbers/v/negative-numbers-introduction/", + "path": "/math/arithmetic/absolute-value/adding_subtracting_negatives/v/negative-numbers-introduction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hlal9ME2Aig.mp4/Hlal9ME2Aig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hlal9ME2Aig.mp4/Hlal9ME2Aig.png", @@ -25985,7 +32953,7 @@ "duration": 506, "youtube_id": "0NyeDUhKwBE", "keywords": "integrating, factor, exact, differential, equations", - "path": "/math/differential-equations/v/integrating-factors-2/", + "path": "/math/differential-equations/first-order-differential-equations/exact-equations/v/integrating-factors-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/0NyeDUhKwBE.mp4/0NyeDUhKwBE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0NyeDUhKwBE.mp4/0NyeDUhKwBE.png", @@ -25996,12 +32964,12 @@ }, "adding-fractions-with-unlike-denominators": { "kind": "Video", - "description": "U02_L3_T1_we2 Adding Fractions with Unlike Denominators", + "description": "Adding Fractions with Unlike Denominators", "title": "Adding Fractions with Unlike Denominators", "duration": 246, "youtube_id": "OVMceVL_CEQ", "keywords": "U02_L3_T1_we2, Adding, Fractions, with, Unlike, Denominators, CC_5_NF_1, CC_5_NF_2", - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Double Bohr Effect", + "duration": 634, + "youtube_id": "SL3I_RYjyZo", + "keywords": "", + "path": "/science/healthcare-and-medicine/fetal-circulation/v/double-bohr-effect/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SL3I_RYjyZo.mp4/SL3I_RYjyZo.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/SL3I_RYjyZo.mp4/SL3I_RYjyZo.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SL3I_RYjyZo.m3u8/SL3I_RYjyZo.m3u8" + }, + "slug": "double-bohr-effect", + "readable_id": "double-bohr-effect" + }, "linear-algebra--gram-schmidt-process-example": { "kind": "Video", "description": "Using Gram-Schmidt to find an orthonormal basis for a plane in R3", @@ -26049,7 +33033,7 @@ "duration": 794, "youtube_id": "tu1GPtfsQ7M", "keywords": "gram, schmidt, process, basis", - "path": "/math/linear-algebra/v/linear-algebra--gram-schmidt-process-example/", + "path": "/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra--gram-schmidt-process-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tu1GPtfsQ7M.mp4/tu1GPtfsQ7M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tu1GPtfsQ7M.mp4/tu1GPtfsQ7M.png", @@ -26065,7 +33049,7 @@ "duration": 1000, "youtube_id": "JK-8XNIoAkI", "keywords": "matrix, vector, projection, linear, transformation", - 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"path": "/math/algebra/systems-of-eq-and-ineq/extra-systems/v/passed-bike-word-problem/", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-word-problems/v/passed-bike-word-problem/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/P03ljxjy8Nw.mp4/P03ljxjy8Nw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P03ljxjy8Nw.mp4/P03ljxjy8Nw.png", @@ -26209,7 +33193,7 @@ "duration": 740, "youtube_id": "s1QN7sSfBM8", "keywords": "Problem, Solving, Word, Problems, CC_39336_A-CED_2", - "path": "/math/algebra/ck12-algebra-1/v/problem-solving-word-problems-2/", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-word-problems/v/problem-solving-word-problems-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/s1QN7sSfBM8.mp4/s1QN7sSfBM8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s1QN7sSfBM8.mp4/s1QN7sSfBM8.png", @@ -26241,7 +33225,7 @@ "duration": 323, "youtube_id": "zVsGtU8lIWs", "keywords": "preimage, image, of, set", - 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"path": "/math/algebra/algebra-functions/v/domain-and-range-of-a-relation/", + "path": "/math/trigonometry/functions_and_graphs/domain_range/v/domain-and-range-of-a-relation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/g3LrOw1JMi8.mp4/g3LrOw1JMi8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/g3LrOw1JMi8.mp4/g3LrOw1JMi8.png", @@ -27249,7 +34245,7 @@ "duration": 716, "youtube_id": "3GYv-BZYYdg", "keywords": "calculus, optimization, derivative, maximum, CC_39336_A-REI_4, CC_39336_A-SSE_2", - "path": "/math/calculus/differential-calculus/v/optimization-with-calculus-2/", + "path": "/math/calculus/derivative_applications/calc_optimization/v/optimization-with-calculus-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3GYv-BZYYdg.mp4/3GYv-BZYYdg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3GYv-BZYYdg.mp4/3GYv-BZYYdg.png", @@ -27265,7 +34261,7 @@ "duration": 1049, "youtube_id": "i8Wtu-kdDC4", "keywords": "Calculus, optimization, derivative, maximum, minimum", - 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"path": "/math/differential-equations/v/2nd-order-linear-homogeneous-differential-equations-4/", + "path": "/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order/v/2nd-order-linear-homogeneous-differential-equations-4/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3uO_uPb9H8w.mp4/3uO_uPb9H8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3uO_uPb9H8w.mp4/3uO_uPb9H8w.png", @@ -27676,12 +34704,12 @@ }, "sum-of-logarithms-with-same-base": { "kind": "Video", - "description": "u18_l2_t2_we1 Sum of Logarithms with Same Base", + "description": "Sum of Logarithms with Same Base", "title": "Sum of Logarithms with Same Base", "duration": 304, "youtube_id": "pkGrXzakRFs", "keywords": "u18_l2_t2_we1, Sum, of, Logarithms, with, Same, Base", - "path": "/math/algebra/logarithms-tutorial/v/sum-of-logarithms-with-same-base/", + "path": "/math/algebra/logarithms-tutorial/logarithm_properties/v/sum-of-logarithms-with-same-base/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/pkGrXzakRFs.mp4/pkGrXzakRFs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pkGrXzakRFs.mp4/pkGrXzakRFs.png", @@ -27697,7 +34725,7 @@ "duration": 508, "youtube_id": "IePCHjMeFkE", "keywords": "slope, derivative, CC_8_EE_5", - "path": "/math/calculus/differential-calculus/v/calculus--derivatives-2--new-hd-version/", + "path": "/math/calculus/differential-calculus/derivative_intro/v/calculus--derivatives-2--new-hd-version/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/IePCHjMeFkE.mp4/IePCHjMeFkE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IePCHjMeFkE.mp4/IePCHjMeFkE.png", @@ -27706,6 +34734,22 @@ "slug": "calculus--derivatives-2--new-hd-version", "readable_id": "calculus--derivatives-2--new-hd-version" }, + "gmat--data-sufficiency-19": { + "kind": "Video", + "description": "84-86, pg. 285", + "title": "GMAT: Data Sufficiency 19", + "duration": 634, + "youtube_id": "C-qg2Lcy6Ts", + "keywords": "gmat, data, sufficiency", + "path": "/test-prep/gmat/data-sufficiency/v/gmat--data-sufficiency-19/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/C-qg2Lcy6Ts.mp4/C-qg2Lcy6Ts.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/C-qg2Lcy6Ts.mp4/C-qg2Lcy6Ts.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/C-qg2Lcy6Ts.m3u8/C-qg2Lcy6Ts.m3u8" + }, + "slug": "gmat--data-sufficiency-19", + "readable_id": "gmat--data-sufficiency-19" + }, "center-of-mass": { "kind": "Video", "description": "Introduction to the center of mass", @@ -27713,7 +34757,7 @@ "duration": 576, "youtube_id": "VrflZifKIuw", "keywords": "physics, center, of, mass, force, acceleration", - "path": "/science/physics/mechanics/v/center-of-mass/", + "path": "/science/physics/torque-angular-momentum/torque-tutorial/v/center-of-mass/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VrflZifKIuw.mp4/VrflZifKIuw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VrflZifKIuw.mp4/VrflZifKIuw.png", @@ -27745,7 +34789,7 @@ "duration": 318, "youtube_id": "scN-1B6plos", "keywords": "macroeconomics, microeconomics", - "path": "/finance-economics/macroeconomics/v/shifts-in-aggregate-demand/", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut/v/shifts-in-aggregate-demand/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/scN-1B6plos.mp4/scN-1B6plos.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/scN-1B6plos.mp4/scN-1B6plos.png", @@ -27757,11 +34801,11 @@ "derivatives--part-9": { "kind": "Video", "description": "More examples of taking derivatives", - "title": "Derivatives (part 9)", + "title": "More examples using multiple rules", "duration": 595, "youtube_id": "aEP4C_kvcO4", "keywords": "derivative, calculus, khan, academy", - "path": "/math/calculus/differential-calculus/v/derivatives--part-9/", + "path": "/math/calculus/differential-calculus/chain_rule/v/derivatives--part-9/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/aEP4C_kvcO4.mp4/aEP4C_kvcO4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aEP4C_kvcO4.mp4/aEP4C_kvcO4.png", @@ -27777,7 +34821,7 @@ "duration": 521, "youtube_id": "Br_8t58mdeI", "keywords": "transpose, sum, inverse", - "path": "/math/linear-algebra/v/linear-algebra---transposes-of-sums-and-inverses/", + "path": "/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra---transposes-of-sums-and-inverses/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Br_8t58mdeI.mp4/Br_8t58mdeI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Br_8t58mdeI.mp4/Br_8t58mdeI.png", @@ -27788,12 +34832,12 @@ }, "identity-property-of-1": { "kind": "Video", - "description": "U01_L4_T1_we2 Identity Property of 1", + "description": "Identity Property of 1", "title": "Identity Property of 1", "duration": 84, "youtube_id": "6nZp2QGeQ9k", "keywords": "U01_L4_T1_we2, Identity, Property, of, CC_6_EE_2_c", - "path": "/math/arithmetic/number-properties/v/identity-property-of-1/", + "path": "/math/arithmetic/order-of-operations/arithmetic_properties/v/identity-property-of-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6nZp2QGeQ9k.mp4/6nZp2QGeQ9k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6nZp2QGeQ9k.mp4/6nZp2QGeQ9k.png", @@ -27809,7 +34853,7 @@ "duration": 927, "youtube_id": "m5xu4r0szaA", "keywords": "china, america, us, debt, currency, crisis", - "path": "/finance-economics/currency/v/american-chinese-debt-loop/", + "path": "/science/core-finance/money-and-banking/currency-tutorial/v/american-chinese-debt-loop/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/m5xu4r0szaA.mp4/m5xu4r0szaA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m5xu4r0szaA.mp4/m5xu4r0szaA.png", @@ -27818,21 +34862,21 @@ "slug": "american-chinese-debt-loop", "readable_id": "american-chinese-debt-loop" }, - "left-ventricular-pressure-vs--time": { + "calculating-real-return-in-last-year-dollars": { "kind": "Video", - "description": "Ever wonder exactly how the left ventricle's pressure changes over time? Find out in this color-coded video! Rishi is a pediatric infectious disease physician and works at Khan Academy.", - "title": "Left Ventricular Pressure vs. Time", - "duration": 651, - "youtube_id": "SrL6TQbWKJE", - "keywords": "", - "path": "/science/healthcare-and-medicine/pressure-volume-loops/v/left-ventricular-pressure-vs--time/", + "description": "Calculating real return in last year dollars", + "title": "Calculating Real Return in Last Year Dollars", + "duration": 170, + "youtube_id": "GiB9Mkgkrek", + "keywords": "finance, inflation, discount, rate, real, nominal, return", + "path": "/science/macroeconomics/inflation-topic/real-nominal-return-tutorial/v/calculating-real-return-in-last-year-dollars/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SrL6TQbWKJE.mp4/SrL6TQbWKJE.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/SrL6TQbWKJE.mp4/SrL6TQbWKJE.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SrL6TQbWKJE.m3u8/SrL6TQbWKJE.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GiB9Mkgkrek.mp4/GiB9Mkgkrek.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/GiB9Mkgkrek.mp4/GiB9Mkgkrek.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GiB9Mkgkrek.m3u8/GiB9Mkgkrek.m3u8" }, - "slug": "left-ventricular-pressure-vs--time", - "readable_id": "left-ventricular-pressure-vs--time" + "slug": "calculating-real-return-in-last-year-dollars", + "readable_id": "calculating-real-return-in-last-year-dollars" }, "futures-margin-mechanics": { "kind": "Video", @@ -27841,7 +34885,7 @@ "duration": 219, "youtube_id": "1t42z5U2uoc", "keywords": "futures, margin, initial, maintenance, call", - "path": "/finance-economics/core-finance/v/futures-margin-mechanics/", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/futures-margin-mechanics/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1t42z5U2uoc.mp4/1t42z5U2uoc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1t42z5U2uoc.mp4/1t42z5U2uoc.png", @@ -27889,7 +34933,7 @@ "duration": 484, "youtube_id": "VAxHMTJRhmY", "keywords": "finance, math, compound, interest, continuous", - "path": "/finance-economics/core-finance/v/compound-interest-and-e--part-4/", + "path": "/science/core-finance/interest-tutorial/cont-comp-int-and-e/v/compound-interest-and-e--part-4/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VAxHMTJRhmY.mp4/VAxHMTJRhmY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VAxHMTJRhmY.mp4/VAxHMTJRhmY.png", @@ -27932,12 +34976,12 @@ }, "u09-l2-t1-we3-factoring-special-products-3": { "kind": "Video", - "description": "U09_L2_T1_we3 Factoring Special Products 3", - "title": "U09_L2_T1_we3 Factoring Special Products 3", + "description": "Factoring difference of squares", + "title": "Example 2: Factoring difference of squares", "duration": 150, "youtube_id": "YahJQvY396o", "keywords": "U09_L2_T1_we3, Factoring, Special, Products, CC_39336_A-SSE_2", - "path": "/math/algebra/polynomials/v/u09-l2-t1-we3-factoring-special-products-3/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/v/u09-l2-t1-we3-factoring-special-products-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YahJQvY396o.mp4/YahJQvY396o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YahJQvY396o.mp4/YahJQvY396o.png", @@ -27953,7 +34997,7 @@ "duration": 614, "youtube_id": "dzMvqJMLy9c", "keywords": "Continuously, Compounding, interest, finance, math, limit", - "path": "/finance-economics/core-finance/v/compound-interest-and-e--part-2/", + "path": "/science/core-finance/interest-tutorial/cont-comp-int-and-e/v/compound-interest-and-e--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dzMvqJMLy9c.mp4/dzMvqJMLy9c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dzMvqJMLy9c.mp4/dzMvqJMLy9c.png", @@ -27962,22 +35006,6 @@ "slug": "compound-interest-and-e--part-2", "readable_id": "compound-interest-and-e--part-2" }, - 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"path": "/math/arithmetic/decimals/v/addition-and-subtraction-with-significant-figures/", + "path": "/math/arithmetic/decimals/significant_figures_tutorial/v/addition-and-subtraction-with-significant-figures/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xHgPtFUbAeU.mp4/xHgPtFUbAeU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xHgPtFUbAeU.mp4/xHgPtFUbAeU.png", @@ -28001,7 +35029,7 @@ "duration": 651, "youtube_id": "ccrYD6iX_SY", "keywords": "U12_L2_T4_we3, Probability, of, Dependent, Events, CC_7_SP_7", - "path": "/math/probability/v/probability-of-dependent-events-2/", + "path": "/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/probability-of-dependent-events-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ccrYD6iX_SY.mp4/ccrYD6iX_SY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ccrYD6iX_SY.mp4/ccrYD6iX_SY.png", @@ -28017,7 +35045,7 @@ "duration": 744, "youtube_id": "1YYy0DEOpoU", "keywords": "oil, gas, refining, spread, crack", - "path": "/finance-economics/macroeconomics/v/breakdown-of-gas-prices/", + "path": "/science/microeconomics/supply-demand-equilibrium/oil-prices-tutorial/v/breakdown-of-gas-prices/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1YYy0DEOpoU.mp4/1YYy0DEOpoU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1YYy0DEOpoU.mp4/1YYy0DEOpoU.png", @@ -28026,21 +35054,21 @@ "slug": "breakdown-of-gas-prices", "readable_id": "breakdown-of-gas-prices" }, - "mantegna--dead-christ--c--1490": { + "subtraction-2": { "kind": "Video", - "description": "Andrea Mantegna, Dead Christ, tempera on canvas, c. 1490 (Pinacoteca di Brera, Milan)\n\nSpeakers: Dr. Steven Zucker, Isaac Peterson, Dr. Beth Harris\n\nhttp://www.smarthistory.org/mantegna-dead-christ.html", - "title": "Mantegna's Dead Christ", - "duration": 235, - "youtube_id": "IiB8Cvhhvvw", - "keywords": "Art History", - "path": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/v/mantegna--dead-christ--c--1490/", + "description": "Different ways to view subtraction", + "title": "Subtraction 2", + "duration": 752, + "youtube_id": "incKJchBCLo", + "keywords": "subtraction, difference, take, away, CC_1_OA_6, CC_2_OA_1", + "path": "/math/arithmetic/addition-subtraction/two_dig_add_sub/v/subtraction-2/", "download_urls": { - 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"path": "/math/arithmetic/fractions/v/adding-subtracting-mixed-numbers-0-5--ex-2/", + "path": "/math/arithmetic/fractions/Mixed_number_add_sub/v/adding-subtracting-mixed-numbers-0-5--ex-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/q19UnHEofOA.mp4/q19UnHEofOA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/q19UnHEofOA.mp4/q19UnHEofOA.png", @@ -28113,7 +35141,7 @@ "duration": 584, "youtube_id": "m5z6pOsxF_8", "keywords": "Multiplication, decimals, khan, academy, CC_5_NBT_7, CC_6_NS_3", - "path": "/math/arithmetic/decimals/v/mulitplication-8--multiplying-decimals--old-video/", + "path": "/math/arithmetic/decimals/multiplying_decimals/v/mulitplication-8--multiplying-decimals--old-video/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/m5z6pOsxF_8.mp4/m5z6pOsxF_8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m5z6pOsxF_8.mp4/m5z6pOsxF_8.png", @@ -28129,7 +35157,7 @@ "duration": 95, "youtube_id": "EGy1W24EPEI", "keywords": "Adding, subtracting, mixed, numbers, 0, 5, ex, 1", - "path": "/math/arithmetic/fractions/v/adding-subtracting-mixed-numbers-0-5--ex-1/", + "path": "/math/arithmetic/fractions/Mixed_number_add_sub/v/adding-subtracting-mixed-numbers-0-5--ex-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/EGy1W24EPEI.mp4/EGy1W24EPEI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EGy1W24EPEI.mp4/EGy1W24EPEI.png", @@ -28145,7 +35173,7 @@ "duration": 330, "youtube_id": "9nEBmsIsIYg", "keywords": "estate, tax, inheritance, death", - "path": "/finance-economics/core-finance/v/estate-tax-basics/", + "path": "/science/core-finance/taxes-topic/taxes/v/estate-tax-basics/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9nEBmsIsIYg.mp4/9nEBmsIsIYg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9nEBmsIsIYg.mp4/9nEBmsIsIYg.png", @@ -28161,7 +35189,7 @@ "duration": 550, "youtube_id": "WNuIhXo39_k", "keywords": "vector, dot, product, length", - "path": "/math/linear-algebra/v/vector-dot-product-and-vector-length/", + "path": "/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/vector-dot-product-and-vector-length/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/WNuIhXo39_k.mp4/WNuIhXo39_k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WNuIhXo39_k.mp4/WNuIhXo39_k.png", @@ -28172,12 +35200,12 @@ }, "u03-l1-t1-we2-inductive-patterns": { "kind": "Video", - "description": "U03_L1_T1_we2 Inductive Patterns", - "title": "U03_L1_T1_we2 Inductive Patterns", + "description": "Inductive Patterns", + "title": "Inductive Patterns", "duration": 394, "youtube_id": "GvbrtnEYRpY", "keywords": "U03, L1, T1, we2, Inductive, Patterns", - "path": "/math/statistics/v/u03-l1-t1-we2-inductive-patterns/", + "path": "/math/trigonometry/seq_induction/deductive-and-inductive-reasoning/v/u03-l1-t1-we2-inductive-patterns/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GvbrtnEYRpY.mp4/GvbrtnEYRpY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GvbrtnEYRpY.mp4/GvbrtnEYRpY.png", @@ -28193,7 +35221,7 @@ "duration": 542, "youtube_id": "czfJKPN-HEo", "keywords": "macroeconomics, keynes", - "path": "/finance-economics/macroeconomics/v/mathy-version-of-mpc-and-multiplier--optional/", + "path": "/science/macroeconomics/income-and-expenditure-topic/MPC-tutorial/v/mathy-version-of-mpc-and-multiplier--optional/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/czfJKPN-HEo.mp4/czfJKPN-HEo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/czfJKPN-HEo.mp4/czfJKPN-HEo.png", @@ -28257,7 +35285,7 @@ "duration": 731, "youtube_id": "VzhsZHTdZag", "keywords": "personal, finance", - "path": "/finance-economics/core-finance/v/term-and-whole-life-insurance-policies/", + "path": "/science/core-finance/investment-vehicles-tutorial/life-insurance/v/term-and-whole-life-insurance-policies/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VzhsZHTdZag.mp4/VzhsZHTdZag.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VzhsZHTdZag.mp4/VzhsZHTdZag.png", @@ -28289,7 +35317,7 @@ "duration": 652, "youtube_id": "YJBqGM29_64", "keywords": "bailout, fed, treasury, insolvency, credit, crunch, book, value", - "path": "/finance-economics/paulson-bailout/v/bailout-2--book-value/", + "path": "/science/core-finance/money-and-banking/bank-bailout/v/bailout-2--book-value/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YJBqGM29_64.mp4/YJBqGM29_64.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YJBqGM29_64.mp4/YJBqGM29_64.png", @@ -28298,6 +35326,22 @@ "slug": "bailout-2--book-value", "readable_id": "bailout-2--book-value" }, + "what-is-inside-a-tap-light": { + "kind": "Video", + "description": "In this video we go inside a tap light to discover what is inside and how it works.", + "title": "What is inside a tap light?", + "duration": 362, + "youtube_id": "qLMsZKx_a8s", + "keywords": "Tap light, led", + "path": "/science/projects/reverse-engineering/v/what-is-inside-a-tap-light/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qLMsZKx_a8s.mp4/qLMsZKx_a8s.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/qLMsZKx_a8s.mp4/qLMsZKx_a8s.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qLMsZKx_a8s.m3u8/qLMsZKx_a8s.m3u8" + }, + "slug": "what-is-inside-a-tap-light", + "readable_id": "what-is-inside-a-tap-light" + }, "simulation-showing-bias-in-sample-variance": { "kind": "Video", "description": "Simulation by Peter Collingridge giving us a better understanding of why we divide by (n-1) when calculating the unbiased sample variance. Simulation available at: http://www.khanacademy.org/cs/challenge-unbiased-estimate-of-population-variance/1169428428", @@ -28305,7 +35349,7 @@ "duration": 384, "youtube_id": "Cn0skMJ2F3c", "keywords": "sample variance biased unbiased", - "path": "/math/statistics/v/simulation-showing-bias-in-sample-variance/", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/v/simulation-showing-bias-in-sample-variance/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Cn0skMJ2F3c.mp4/Cn0skMJ2F3c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Cn0skMJ2F3c.mp4/Cn0skMJ2F3c.png", @@ -28316,12 +35360,12 @@ }, "changing-an-improper-fraction-to-a-mixed-number": { "kind": "Video", - "description": "U02_L1_T2_we3 Changing an Improper Fraction to a Mixed Number", + "description": "Changing an Improper Fraction to a Mixed Number", "title": "Changing an Improper Fraction to a Mixed Number", "duration": 242, "youtube_id": "8JyPzTeA_8w", "keywords": "U02_L1_T2_we3, Changing, an, Improper, Fraction, to, Mixed, Number, CC_4_NF_3_c", - "path": "/math/arithmetic/fractions/v/changing-an-improper-fraction-to-a-mixed-number/", + "path": "/math/arithmetic/fractions/mixed_numbers/v/changing-an-improper-fraction-to-a-mixed-number/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8JyPzTeA_8w.mp4/8JyPzTeA_8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8JyPzTeA_8w.mp4/8JyPzTeA_8w.png", @@ -28353,7 +35397,7 @@ "duration": 997, "youtube_id": "hZ827mfh1Jo", "keywords": "image, transformation, subspace", - "path": "/math/linear-algebra/v/im-t----image-of-a-transformation/", + "path": "/math/linear-algebra/matrix_transformations/linear_transformations/v/im-t----image-of-a-transformation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/hZ827mfh1Jo.mp4/hZ827mfh1Jo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hZ827mfh1Jo.mp4/hZ827mfh1Jo.png", @@ -28401,7 +35445,7 @@ "duration": 783, "youtube_id": "AEIzy1kNRqo", "keywords": "Pythagorean, Theorem, CC_8_G_7", - "path": "/math/algebra/ck12-algebra-1/v/pythagorean-theorem/", + "path": "/math/algebra/pythagorean-theorem/v/pythagorean-theorem/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AEIzy1kNRqo.mp4/AEIzy1kNRqo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AEIzy1kNRqo.mp4/AEIzy1kNRqo.png", @@ -28433,7 +35477,7 @@ "duration": 493, "youtube_id": "r1ywppAJ1xs", "keywords": "population, history", - "path": "/humanities/history/euro-hist/v/thomas-malthus-and-population-growth/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/thomas-malthus-and-population-growth/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/r1ywppAJ1xs.mp4/r1ywppAJ1xs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/r1ywppAJ1xs.mp4/r1ywppAJ1xs.png", @@ -28449,7 +35493,7 @@ "duration": 530, "youtube_id": "UdHgWK13x5I", "keywords": "transpose, matrix", - "path": "/math/linear-algebra/v/linear-algebra--transpose-of-a-matrix-product/", + "path": "/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra--transpose-of-a-matrix-product/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/UdHgWK13x5I.mp4/UdHgWK13x5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UdHgWK13x5I.mp4/UdHgWK13x5I.png", @@ -28492,7 +35536,7 @@ }, "identifying-complementary-and-supplementary-angles": { "kind": "Video", - "description": "u07_l1_t2_we2 Identifying Complementary and Supplementary Angles", + "description": "Identifying Complementary and Supplementary Angles", "title": "Identifying Complementary and Supplementary Angles", "duration": 156, "youtube_id": "o-TWOYoxjUo", @@ -28577,7 +35621,7 @@ "duration": 146, "youtube_id": "PDReqvXfkBA", "keywords": "zero, divided, undefined", - "path": "/math/arithmetic/number-properties/v/why-zero-divided-by-zero-is-undefined-indeterminate/", + "path": "/math/trigonometry/functions_and_graphs/undefined_indeterminate/v/why-zero-divided-by-zero-is-undefined-indeterminate/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PDReqvXfkBA.mp4/PDReqvXfkBA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PDReqvXfkBA.mp4/PDReqvXfkBA.png", @@ -28593,7 +35637,7 @@ "duration": 669, "youtube_id": "NYI0bJK64MY", "keywords": "Relative, Stability, of, Amides, Esters, Anhydrides, and, Acyl, Chlorides", - "path": "/science/organic-chemistry/v/relative-stability-of-amides-esters-anhydrides-and-acyl-chlorides/", + "path": "/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal/v/relative-stability-of-amides-esters-anhydrides-and-acyl-chlorides/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NYI0bJK64MY.mp4/NYI0bJK64MY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NYI0bJK64MY.mp4/NYI0bJK64MY.png", @@ -28634,6 +35678,22 @@ "slug": "gmat-math-48", "readable_id": "gmat-math-48" }, + "ex1-completing-the-square": { + "kind": "Video", + "description": "U10_L1_T2_we1 Completing the Square 1", + "title": "Example 1: Completing the square", + "duration": 202, + "youtube_id": "VvuuRpJbbHE", + "keywords": "U10_L1_T2_we1, Completing, the, Square, CC_39336_A-REI_4_a, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_b", + "path": "/math/algebra/quadratics/completing_the_square/v/ex1-completing-the-square/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VvuuRpJbbHE.mp4/VvuuRpJbbHE.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/VvuuRpJbbHE.mp4/VvuuRpJbbHE.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VvuuRpJbbHE.m3u8/VvuuRpJbbHE.m3u8" + }, + "slug": "ex1-completing-the-square", + "readable_id": "ex1-completing-the-square" + }, "taylor-series-at-0--maclaurin--for-e-to-the-x": { "kind": "Video", "description": "Taylor Series at 0 (Maclaurin) for e to the x", @@ -28641,7 +35701,7 @@ "duration": 370, "youtube_id": "JYQqml4-4q4", "keywords": "Taylor, Series, at, (Maclaurin), for, to, the", - "path": "/math/calculus/integral-calculus/v/taylor-series-at-0--maclaurin--for-e-to-the-x/", + "path": "/math/calculus/sequences_series_approx_calc/maclaurin_taylor/v/taylor-series-at-0--maclaurin--for-e-to-the-x/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/JYQqml4-4q4.mp4/JYQqml4-4q4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JYQqml4-4q4.mp4/JYQqml4-4q4.png", @@ -28657,7 +35717,7 @@ "duration": 572, "youtube_id": "VhokQhjl5t0", "keywords": "algebra, functions, f(x), domain, range, CC_8_F_1, CC_39336_F-IF_1", - "path": "/math/algebra/algebra-functions/v/introduction-to-functions/", + "path": "/math/trigonometry/functions_and_graphs/function_introduction/v/introduction-to-functions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VhokQhjl5t0.mp4/VhokQhjl5t0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VhokQhjl5t0.mp4/VhokQhjl5t0.png", @@ -28714,21 +35774,21 @@ "slug": "conversation-about-drug-pricing", "readable_id": "conversation-about-drug-pricing" }, - "gmat-math-40": { + "optical-activity-i--theory": { "kind": "Video", - "description": "198-200, pg. 179", - "title": "GMAT Math 40", - "duration": 699, - "youtube_id": "oug9h9-komI", - "keywords": "gmat, math, problem, solving", - "path": "/test-prep/gmat/problem-solving/v/gmat-math-40/", + "description": "Correction: Specific rotation is usually given without units. Therefore, I should have left off the degrees sign on the carvone enantiomers.", + "title": "optical activity I: theory", + "duration": 803, + "youtube_id": "tkzi8etP7no", + "keywords": "", + "path": "/science/organic-chemistry/stereochemistry-topic/optical-activity/v/optical-activity-i--theory/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/oug9h9-komI.mp4/oug9h9-komI.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/oug9h9-komI.mp4/oug9h9-komI.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oug9h9-komI.m3u8/oug9h9-komI.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tkzi8etP7no.mp4/tkzi8etP7no.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/tkzi8etP7no.mp4/tkzi8etP7no.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/tkzi8etP7no.m3u8/tkzi8etP7no.m3u8" }, - "slug": "gmat-math-40", - "readable_id": "gmat-math-40" + "slug": "optical-activity-i--theory", + "readable_id": "optical-activity-i--theory" }, "gmat-math-47": { "kind": "Video", @@ -28828,7 +35888,7 @@ }, "solving-radical-equations": { "kind": "Video", - "description": "u16_l3_t1_we1 Solving Radical Equations", + "description": "Solving Radical Equations", "title": "Solving Radical Equations", "duration": 191, "youtube_id": "pFFoAGIEyJc", @@ -28849,7 +35909,7 @@ "duration": 159, "youtube_id": "-h_x8TwC1ik", "keywords": "Horizontal, distance, as, function, of, angle, (and, speed)", - "path": "/science/physics/mechanics/v/optimal-angle-for-a-projectile-part-3---horizontal-distance-as-a-function-of-angle--and-speed/", + "path": "/science/physics/two-dimensional-motion/optimal-projectile-angle/v/optimal-angle-for-a-projectile-part-3---horizontal-distance-as-a-function-of-angle--and-speed/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-h_x8TwC1ik.mp4/-h_x8TwC1ik.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-h_x8TwC1ik.mp4/-h_x8TwC1ik.png", @@ -28865,7 +35925,7 @@ "duration": 288, "youtube_id": "MNUVuZu6heA", "keywords": "finance, cds", - "path": "/finance-economics/core-finance/v/financial-weapons-of-mass-destruction/", + "path": "/science/core-finance/derivative-securities/credit-default-swaps-tut/v/financial-weapons-of-mass-destruction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MNUVuZu6heA.mp4/MNUVuZu6heA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MNUVuZu6heA.mp4/MNUVuZu6heA.png", @@ -28881,7 +35941,7 @@ "duration": 434, "youtube_id": "ou9YMWlJgkE", "keywords": "physics, newton, 2nd, second, law", - "path": "/science/physics/mechanics/v/newton-s-second-law-of-motion/", + "path": "/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/newton-s-second-law-of-motion/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ou9YMWlJgkE.mp4/ou9YMWlJgkE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ou9YMWlJgkE.mp4/ou9YMWlJgkE.png", @@ -28897,7 +35957,7 @@ "duration": 719, "youtube_id": "Hhc96U_HvQE", "keywords": "associate, matrix, products", - "path": "/math/linear-algebra/v/matrix-product-associativity/", + "path": "/math/linear-algebra/matrix_transformations/composition_of_transformations/v/matrix-product-associativity/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Hhc96U_HvQE.mp4/Hhc96U_HvQE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Hhc96U_HvQE.mp4/Hhc96U_HvQE.png", @@ -28922,22 +35982,6 @@ "slug": "molecular-and-empirical-forumlas-from-percent-composition", "readable_id": "molecular-and-empirical-forumlas-from-percent-composition" }, - "rsa-encryption--step-2": { - "kind": "Video", - "description": "Setting up a trapdoor one-way function", - "title": "RSA Encryption: step 2", - "duration": 145, - "youtube_id": "j4KhCT6kJvY", - "keywords": "trapdoor function, one-way function", - "path": "/math/applied-math/modern-crypt/v/rsa-encryption--step-2/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/j4KhCT6kJvY.mp4/j4KhCT6kJvY.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/j4KhCT6kJvY.mp4/j4KhCT6kJvY.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/j4KhCT6kJvY.m3u8/j4KhCT6kJvY.m3u8" - }, - "slug": "rsa-encryption--step-2", - "readable_id": "rsa-encryption--step-2" - }, "georges-seurat--a-sunday-on-la-grande-jatte---1884--1884-86": { "kind": "Video", "description": "Georges Seurat, A Sunday on La Grande Jatte - 1884, 1884-86, oil on canvas, 81-3/4 x 121-1/4 inches / 207.5 x 308.1 cm (The Art Institute of Chicago). 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"path": "/finance-economics/core-finance/v/contango/", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/contango/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wSqkieBUuo8.mp4/wSqkieBUuo8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wSqkieBUuo8.mp4/wSqkieBUuo8.png", @@ -29409,7 +36485,7 @@ "duration": 343, "youtube_id": "CJzuu_k9Nv0", "keywords": "Amine, Naming, nitro, phenyl, hydroxy, amino", - "path": "/science/organic-chemistry/v/amine-naming-2/", + "path": "/science/organic-chemistry/amines-topic/naming-amines/v/amine-naming-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/CJzuu_k9Nv0.mp4/CJzuu_k9Nv0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CJzuu_k9Nv0.mp4/CJzuu_k9Nv0.png", @@ -29420,12 +36496,12 @@ }, "dividing-decimals": { "kind": "Video", - "description": "U03_L2_T2_we3 Dividing Decimals", + "description": "Dividing Decimals", "title": "Dividing Decimals", "duration": 332, "youtube_id": "Nqts8zW8RxM", "keywords": "U03_L2_T2_we3, Dividing, Decimals, CC_5_NBT_7, CC_6_NS_3", - 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"slug": "delacroix--the-death-of-sardanapalus--1827", - "readable_id": "delacroix--the-death-of-sardanapalus--1827" + "slug": "ex2-factoring-quad", + "readable_id": "ex2-factoring-quad" }, "cahsee-practice--problems-38-42": { "kind": "Video", @@ -29473,7 +36549,7 @@ "duration": 721, "youtube_id": "wYrxKGt_bLg", "keywords": "Solving, Systems, of, Equations, by, Multiplication, CC_39336_A-REI_6", - "path": "/math/algebra/ck12-algebra-1/v/solving-systems-of-equations-by-multiplication/", + "path": "/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations/v/solving-systems-of-equations-by-multiplication/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wYrxKGt_bLg.mp4/wYrxKGt_bLg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wYrxKGt_bLg.mp4/wYrxKGt_bLg.png", @@ -29553,7 +36629,7 @@ "duration": 774, "youtube_id": "xp6ibuI8UuQ", "keywords": "physics, vectors, dimensions, components", - "path": "/science/physics/mechanics/v/visualizing-vectors-in-2-dimensions/", + "path": "/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/visualizing-vectors-in-2-dimensions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xp6ibuI8UuQ.mp4/xp6ibuI8UuQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xp6ibuI8UuQ.mp4/xp6ibuI8UuQ.png", @@ -29585,7 +36661,7 @@ "duration": 594, "youtube_id": "92U67CUy9Gc", "keywords": "direct, inverse, variation", - 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"description": "U05_L2_T1_WE2 Graphing Linear Inequalities in Two Variables", + "description": "Graphing Linear Inequalities in Two Variables", "title": "Graphing Linear Inequalities in Two Variables Example 2", "duration": 183, "youtube_id": "FnrqBgot3jM", "keywords": "U05, L2, T1, WE2, Graphing, Linear, Inequalities, in, Two, Variables, CC_39336_A-REI_10, CC_39336_A-REI_12", - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities/v/graphing-linear-inequalities-in-two-variables-example-2/", + "path": "/math/trigonometry/graphs/graphing_inequalities/v/graphing-linear-inequalities-in-two-variables-example-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/FnrqBgot3jM.mp4/FnrqBgot3jM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FnrqBgot3jM.mp4/FnrqBgot3jM.png", @@ -29681,7 +36757,7 @@ "duration": 383, "youtube_id": "usH9VUi2-Xg", "keywords": "surface, integral", - "path": "/math/calculus/multivariable-calculus/v/constructing-a-unit-normal-vector-to-a-surface/", + "path": "/math/calculus/multivariable-calculus/3d_flux/v/constructing-a-unit-normal-vector-to-a-surface/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/usH9VUi2-Xg.mp4/usH9VUi2-Xg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/usH9VUi2-Xg.mp4/usH9VUi2-Xg.png", @@ -29713,7 +36789,7 @@ "duration": 557, "youtube_id": "Jsiy4TxgIME", "keywords": "trig, sin, cos, tan, sine, cosine, tangent, CC_8_G_7", - "path": "/math/trigonometry/v/basic-trigonometry/", + "path": "/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/basic-trigonometry/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Jsiy4TxgIME.mp4/Jsiy4TxgIME.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Jsiy4TxgIME.mp4/Jsiy4TxgIME.png", @@ -29745,7 +36821,7 @@ "duration": 394, "youtube_id": "7BkcNLOf56w", "keywords": "coin, unfair, CC_7_SP_5, CC_7_SP_6, CC_7_SP_7, CC_7_SP_7_b, CC_7_SP_8, CC_7_SP_8_a, CC_7_SP_8_b", - "path": "/math/probability/v/dependent-probability-example-2/", + "path": "/math/probability/independent-dependent-probability/dependent_probability/v/dependent-probability-example-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/7BkcNLOf56w.mp4/7BkcNLOf56w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7BkcNLOf56w.mp4/7BkcNLOf56w.png", @@ -29777,7 +36853,7 @@ "duration": 541, "youtube_id": "xPUm5SUVzTE", "keywords": "probability, coins, unfair", - "path": "/math/probability/v/dependent-probability-example-1/", + "path": "/math/probability/independent-dependent-probability/dependent_probability/v/dependent-probability-example-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xPUm5SUVzTE.mp4/xPUm5SUVzTE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xPUm5SUVzTE.mp4/xPUm5SUVzTE.png", @@ -29786,21 +36862,21 @@ "slug": "dependent-probability-example-1", "readable_id": "dependent-probability-example-1" }, - "cahsee-practice--problems-17-19": { + "marginal-utility": { "kind": "Video", - "description": "CAHSEE Practice: Problems 17-19", - "title": "CAHSEE Practice: Problems 17-19", - "duration": 343, - "youtube_id": "ah39bUxYDEg", - "keywords": "CAHSEE, practice, california, high, school, exit, examination", - "path": "/test-prep/cahsee/v/cahsee-practice--problems-17-19/", + "description": "Marginal utility and marginal benefit. How you would spend $5 on chocolate and fruit", + "title": "Marginal Utility", + "duration": 734, + "youtube_id": "Kf9KhwryQNE", + "keywords": "microeconomics, utility", + "path": "/science/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/v/marginal-utility/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ah39bUxYDEg.mp4/ah39bUxYDEg.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/ah39bUxYDEg.mp4/ah39bUxYDEg.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ah39bUxYDEg.m3u8/ah39bUxYDEg.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kf9KhwryQNE.mp4/Kf9KhwryQNE.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Kf9KhwryQNE.mp4/Kf9KhwryQNE.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kf9KhwryQNE.m3u8/Kf9KhwryQNE.m3u8" }, - "slug": "cahsee-practice--problems-17-19", - "readable_id": "cahsee-practice--problems-17-19" + "slug": "marginal-utility", + "readable_id": "marginal-utility" }, "roth-iras": { "kind": "Video", @@ -29809,7 +36885,7 @@ "duration": 1009, "youtube_id": "HbQ2kmhIlHo", "keywords": "Roth, IRA", - "path": "/finance-economics/core-finance/v/roth-iras/", + "path": "/science/core-finance/investment-vehicles-tutorial/ira-401ks/v/roth-iras/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/HbQ2kmhIlHo.mp4/HbQ2kmhIlHo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HbQ2kmhIlHo.mp4/HbQ2kmhIlHo.png", @@ -29820,12 +36896,12 @@ }, "dividing-complex-numbers": { "kind": "Video", - "description": "u16_l4_t2_we5 Dividing Complex Numbers", + "description": "Dividing Complex Numbers", "title": "Dividing Complex Numbers", "duration": 298, "youtube_id": "Z8j5RDOibV4", "keywords": "u16_l4_t2_we5, Dividing, Complex, Numbers", - "path": "/math/algebra/complex-numbers/v/dividing-complex-numbers/", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc/v/dividing-complex-numbers/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z8j5RDOibV4.mp4/Z8j5RDOibV4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z8j5RDOibV4.mp4/Z8j5RDOibV4.png", @@ -29873,7 +36949,7 @@ "duration": 167, "youtube_id": "Lmd_CDwBXFs", "keywords": "federal, reserve, Ben, Bernanke", - "path": "/finance-economics/core-finance/v/another-quantitative-easing-video/", + "path": "/science/core-finance/money-and-banking/federal-reserve/v/another-quantitative-easing-video/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Lmd_CDwBXFs.mp4/Lmd_CDwBXFs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Lmd_CDwBXFs.mp4/Lmd_CDwBXFs.png", @@ -29882,6 +36958,22 @@ "slug": "another-quantitative-easing-video", "readable_id": "another-quantitative-easing-video" }, + "3-d-divergence-theorem-intuition": { + "kind": "Video", + "description": "Intuition behind the Divergence Theorem in three dimensions", + "title": "3-D Divergence Theorem Intuition", + "duration": 554, + "youtube_id": "XyiQ2dwJHXE", + "keywords": "", + "path": "/math/calculus/divergence_theorem_topic/divergence_theorem/v/3-d-divergence-theorem-intuition/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XyiQ2dwJHXE.mp4/XyiQ2dwJHXE.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/XyiQ2dwJHXE.mp4/XyiQ2dwJHXE.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XyiQ2dwJHXE.m3u8/XyiQ2dwJHXE.m3u8" + }, + "slug": "3-d-divergence-theorem-intuition", + "readable_id": "3-d-divergence-theorem-intuition" + }, "lin-alg--transformation-matrix-with-respect-to-a-basis": { "kind": "Video", "description": "Finding the transformation matrix with respect to a non-standard basis", @@ -29889,7 +36981,7 @@ "duration": 1082, "youtube_id": "PiuhTj0zCf4", "keywords": "transformation, basis, coordinates", - "path": "/math/linear-algebra/v/lin-alg--transformation-matrix-with-respect-to-a-basis/", + "path": "/math/linear-algebra/alternate_bases/change_of_basis/v/lin-alg--transformation-matrix-with-respect-to-a-basis/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PiuhTj0zCf4.mp4/PiuhTj0zCf4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PiuhTj0zCf4.mp4/PiuhTj0zCf4.png", @@ -29921,7 +37013,7 @@ "duration": 476, "youtube_id": "omFelSZvaJc", "keywords": "arithmetic", - "path": "/math/arithmetic/multiplication-division/v/partial-quotient-method-of-division-2/", + "path": "/math/arithmetic/multiplication-division/partial_quotient_division/v/partial-quotient-method-of-division-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/omFelSZvaJc.mp4/omFelSZvaJc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/omFelSZvaJc.mp4/omFelSZvaJc.png", @@ -29962,21 +37054,21 @@ "slug": "2003-aime-ii-problem-12", "readable_id": "2003-aime-ii-problem-12" }, - "pressure-in-the-left-heart---part-2": { + "introduction-to-momentum": { "kind": "Video", - "description": "Watch the pressure in the left heart go up and down with every heart beat! Rishi is a pediatric infectious disease physician and works at Khan Academy.", - "title": "Pressure in the Left Heart - Part 2", - "duration": 764, - "youtube_id": "QM4f1vos6Vk", - "keywords": "", - "path": "/science/healthcare-and-medicine/pressure-volume-loops/v/pressure-in-the-left-heart---part-2/", + "description": "What momentum is. 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"path": "/math/linear-algebra/v/unit-vectors/", + "path": "/math/linear-algebra/matrix_transformations/lin_trans_examples/v/unit-vectors/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lQn7fksaDq0.mp4/lQn7fksaDq0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lQn7fksaDq0.mp4/lQn7fksaDq0.png", @@ -30314,6 +37438,22 @@ "slug": "unit-vectors", "readable_id": "unit-vectors" }, + "manet--olympia--1863--exhibited-1865": { + "kind": "Video", + "description": "\u00c9douard Manet, Olympia, oil on canvas, 1863 (Mus\u00e9e d'Orsay, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", + "title": "\u00c9douard Manet's Olympia", + "duration": 434, + "youtube_id": "bihBbqzL96Y", + "keywords": "", + "path": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/v/manet--olympia--1863--exhibited-1865/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/bihBbqzL96Y.mp4/bihBbqzL96Y.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/bihBbqzL96Y.mp4/bihBbqzL96Y.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bihBbqzL96Y.m3u8/bihBbqzL96Y.m3u8" + }, + "slug": "manet--olympia--1863--exhibited-1865", + "readable_id": "manet--olympia--1863--exhibited-1865" + }, "long-run-aggregate-supply": { "kind": "Video", "description": "Thinking about why aggregate supply may not be influenced by prices in the long-run", @@ -30321,7 +37461,7 @@ "duration": 275, "youtube_id": "8W0iZk8Yxhs", "keywords": "aggregate, supply, macroeconomics", - "path": "/finance-economics/macroeconomics/v/long-run-aggregate-supply/", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut/v/long-run-aggregate-supply/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8W0iZk8Yxhs.mp4/8W0iZk8Yxhs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8W0iZk8Yxhs.mp4/8W0iZk8Yxhs.png", @@ -30337,7 +37477,7 @@ "duration": 306, "youtube_id": "145zOBT0LD4", "keywords": "u14, l3, t1, we4, Solutions, to, Three, Variable, System", - "path": "/math/algebra/systems-of-eq-and-ineq/fancier-systems/v/solutions-to-three-variable-system-2/", + "path": "/math/trigonometry/systems_eq_ineq/fancier_systems_precalc/v/solutions-to-three-variable-system-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/145zOBT0LD4.mp4/145zOBT0LD4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/145zOBT0LD4.mp4/145zOBT0LD4.png", @@ -30353,7 +37493,7 @@ "duration": 143, "youtube_id": "l9ft9jpriNA", "keywords": "U12_L2_T4_we2, Probability, of, Dependent, Events, CC_7_SP_7", - 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Bit-zee's bumper switches", + "duration": 588, + "youtube_id": "JEXhbd0JOWk", + "keywords": "bit-zee, bumper switches, arduino, hack, make, diy", + "path": "/science/projects/Bit-zee/v/bit-zee-s-bumper-switches/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/JEXhbd0JOWk.mp4/JEXhbd0JOWk.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/JEXhbd0JOWk.mp4/JEXhbd0JOWk.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JEXhbd0JOWk.m3u8/JEXhbd0JOWk.m3u8" + }, + "slug": "bit-zee-s-bumper-switches", + "readable_id": "bit-zee-s-bumper-switches" + }, "decimals-on-a-number-line": { "kind": "Video", - "description": "u03_l1_t2_we3 Decimals on a Number Line", + "description": "Decimals on a Number Line", "title": "Decimals on a Number Line", "duration": 99, "youtube_id": "LpLnmuAyNWg", "keywords": "u03_l1_t2_we3, Decimals, on, Number, Line", - "path": "/math/arithmetic/decimals/v/decimals-on-a-number-line/", + "path": "/math/arithmetic/decimals/decimal_place_value/v/decimals-on-a-number-line/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/LpLnmuAyNWg.mp4/LpLnmuAyNWg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LpLnmuAyNWg.mp4/LpLnmuAyNWg.png", @@ -30385,7 +37541,7 @@ "duration": 780, "youtube_id": "xM8szz4VB28", "keywords": "food, chains, agricultural, productivity", - 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"path": "/finance-economics/macroeconomics/v/inflation-data/", + "path": "/science/macroeconomics/inflation-topic/cost-of-living-tutorial/v/inflation-data/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/DK1lCc9b7bg.mp4/DK1lCc9b7bg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DK1lCc9b7bg.mp4/DK1lCc9b7bg.png", @@ -30545,7 +37717,7 @@ "duration": 850, "youtube_id": "x-GV2v0dRNE", "keywords": "transpose, determinant, linear, algebra, matrix", - "path": "/math/linear-algebra/v/linear-algebra---determinant-of-transpose/", + "path": "/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra---determinant-of-transpose/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/x-GV2v0dRNE.mp4/x-GV2v0dRNE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/x-GV2v0dRNE.mp4/x-GV2v0dRNE.png", @@ -30572,12 +37744,12 @@ }, "polynomials1": { "kind": "Video", - "description": "U08_L2_T1_we1 Polynomials1", + "description": "Polynomials1", "title": "Polynomials1", "duration": 277, "youtube_id": "EvvxBdNIUeQ", "keywords": "U08_L2_T1_we1, Polynomials1, CC_6_EE_2_c, CC_7_G_1, CC_7_G_4, CC_7_G_6, CC_39336_A-APR_1", - "path": "/math/algebra/polynomials/v/polynomials1/", + "path": "/math/algebra/polynomials/polynomial_basics/v/polynomials1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/EvvxBdNIUeQ.mp4/EvvxBdNIUeQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EvvxBdNIUeQ.mp4/EvvxBdNIUeQ.png", @@ -30593,7 +37765,7 @@ "duration": 461, "youtube_id": "6WMZ7J0wwMI", "keywords": "Exponential, Growth, Functions, CC_39336_F-IF_8_b, CC_39336_F-LE_1_c", - "path": "/math/algebra/ck12-algebra-1/v/exponential-growth-functions/", + "path": "/math/trigonometry/exponential_and_logarithmic_func/exp_growth_decay/v/exponential-growth-functions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6WMZ7J0wwMI.mp4/6WMZ7J0wwMI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6WMZ7J0wwMI.mp4/6WMZ7J0wwMI.png", @@ -30609,7 +37781,7 @@ "duration": 1393, "youtube_id": "viaPc8zDcRI", "keywords": "calculus, derivative, wprd, problem, CC_39336_A-REI_4", - "path": "/math/calculus/differential-calculus/v/extreme-derivative-word-problem--advanced/", + "path": "/math/calculus/differential-calculus/chain_rule/v/extreme-derivative-word-problem--advanced/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/viaPc8zDcRI.mp4/viaPc8zDcRI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/viaPc8zDcRI.mp4/viaPc8zDcRI.png", @@ -30625,7 +37797,7 @@ "duration": 357, "youtube_id": "ivy1QmWUtQI", "keywords": "capitalism, factors, of, production", - "path": "/finance-economics/core-finance/v/human-capital/", + "path": "/science/core-finance/housing/investment-consumption/v/human-capital/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ivy1QmWUtQI.mp4/ivy1QmWUtQI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ivy1QmWUtQI.mp4/ivy1QmWUtQI.png", @@ -30636,12 +37808,12 @@ }, "describing-the-meaning-of-percent-2": { "kind": "Video", - "description": "U05_L1_T1_we2 Describing the Meaning of Percent 2", + "description": "Describing the Meaning of Percent 2", "title": "Describing the Meaning of Percent 2", "duration": 142, "youtube_id": "MokI3Fi8jpc", "keywords": "U05_L1_T1_we2, Describing, the, Meaning, of, Percent, CC_6_RP_3_c", - "path": "/math/arithmetic/percents/v/describing-the-meaning-of-percent-2/", + "path": "/math/arithmetic/decimals/percent_tutorial/v/describing-the-meaning-of-percent-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MokI3Fi8jpc.mp4/MokI3Fi8jpc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MokI3Fi8jpc.mp4/MokI3Fi8jpc.png", @@ -30650,21 +37822,21 @@ "slug": "describing-the-meaning-of-percent-2", "readable_id": "describing-the-meaning-of-percent-2" }, - 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"slug": "collateralized-debt-obligation-overview", - "readable_id": "collateralized-debt-obligation-overview" + "slug": "u-substitution-and-back-substitution", + "readable_id": "u-substitution-and-back-substitution" }, "maxima-minima-slope-intuition": { "kind": "Video", @@ -30673,7 +37845,7 @@ "duration": 577, "youtube_id": "tpHz0gZfVss", "keywords": "calculus, concave, concativity, maxima, minima", - "path": "/math/calculus/differential-calculus/v/maxima-minima-slope-intuition/", + "path": "/math/calculus/derivative_applications/critical_points_graphing/v/maxima-minima-slope-intuition/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tpHz0gZfVss.mp4/tpHz0gZfVss.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tpHz0gZfVss.mp4/tpHz0gZfVss.png", @@ -30682,6 +37854,22 @@ "slug": "maxima-minima-slope-intuition", "readable_id": "maxima-minima-slope-intuition" }, + "naming-benzene-derivatives-introduction": { + "kind": "Video", + "description": "Naming Benzene Derivatives Introduction", + "title": "Naming Benzene Derivatives Introduction", + "duration": 520, + "youtube_id": "A5r7wkwDID4", + "keywords": "benzene, toluene, phenol, aniline, benzoic, acid, benzaldehyde", + "path": "/science/organic-chemistry/aromatic-compounds/naming-aromatic/v/naming-benzene-derivatives-introduction/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/A5r7wkwDID4.mp4/A5r7wkwDID4.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/A5r7wkwDID4.mp4/A5r7wkwDID4.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A5r7wkwDID4.m3u8/A5r7wkwDID4.m3u8" + }, + "slug": "naming-benzene-derivatives-introduction", + "readable_id": "naming-benzene-derivatives-introduction" + }, "pka-and-pkb-relationship": { "kind": "Video", "description": "The pKa and pKb relationship between conjugate acids and bases (both of which are weak).", @@ -30705,7 +37893,7 @@ "duration": 261, "youtube_id": "RPhaidW0dmY", "keywords": "U02_L2_T1_we3, Multiplying, Mixed, Numbers, CC_5_NF_6", - 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Great Oxygenation Event (Oxygen Catastrophe)", @@ -30801,7 +37989,7 @@ "duration": 596, "youtube_id": "E1P79uFLCMc", "keywords": "Ozone, Layer, and, Eukaryotes, Show, Up, in, the, Proterozoic, Eon", - "path": "/science/cosmology-and-astronomy/v/ozone-layer-and-eukaryotes-show-up-in-the-proterozoic-eon/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/ozone-layer-and-eukaryotes-show-up-in-the-proterozoic-eon/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/E1P79uFLCMc.mp4/E1P79uFLCMc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E1P79uFLCMc.mp4/E1P79uFLCMc.png", @@ -30810,6 +37998,22 @@ "slug": "ozone-layer-and-eukaryotes-show-up-in-the-proterozoic-eon", "readable_id": "ozone-layer-and-eukaryotes-show-up-in-the-proterozoic-eon" }, + "rational-inequalities": { + "kind": "Video", + "description": "Two ways to solve a rational inequality (or an inequality involving a fractional expression)", + "title": "Rational Inequalities", + "duration": 709, + "youtube_id": "ZjeMdXV0QMg", + "keywords": "algebra, inequality, rational, fraction", + "path": "/math/trigonometry/polynomial_and_rational/rational_funcs_tutorial/v/rational-inequalities/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZjeMdXV0QMg.mp4/ZjeMdXV0QMg.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/ZjeMdXV0QMg.mp4/ZjeMdXV0QMg.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZjeMdXV0QMg.m3u8/ZjeMdXV0QMg.m3u8" + }, + "slug": "rational-inequalities", + "readable_id": "rational-inequalities" + }, "euler-s-totient-function--phi-function": { "kind": "Video", "description": "Measuring the divisibility of a number", @@ -30826,6 +38030,22 @@ "slug": "euler-s-totient-function--phi-function", "readable_id": "euler-s-totient-function--phi-function" }, + "alkyne-acidity-and-alkylation": { + "kind": "Video", + "description": "", + "title": "alkyne acidity and alkylation", + "duration": 475, + "youtube_id": "_-I3HdmyYfE", + "keywords": "", + "path": "/science/organic-chemistry/alkenes-alkynes/naming-preparation-alkynes/v/alkyne-acidity-and-alkylation/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_-I3HdmyYfE.mp4/_-I3HdmyYfE.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/_-I3HdmyYfE.mp4/_-I3HdmyYfE.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/_-I3HdmyYfE.m3u8/_-I3HdmyYfE.m3u8" + }, + "slug": "alkyne-acidity-and-alkylation", + "readable_id": "alkyne-acidity-and-alkylation" + }, "gmat--data-sufficiency-11": { "kind": "Video", "description": "51-54, pgs. 281-282", @@ -30849,7 +38069,7 @@ "duration": 245, "youtube_id": "I3jyBUyjg48", "keywords": "", - "path": "/math/trigonometry/v/example--using-soh-cah-toa/", + "path": "/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example--using-soh-cah-toa/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/I3jyBUyjg48.mp4/I3jyBUyjg48.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/I3jyBUyjg48.mp4/I3jyBUyjg48.png", @@ -30874,22 +38094,6 @@ "slug": "algebra-ii--logarithms-exponential-growth", "readable_id": "algebra-ii--logarithms-exponential-growth" }, - "arterial-elastance--ea--and-afterload": { - "kind": "Video", - "description": "First, learn the difference between arterial elastance (Ea) and afterload. Then, understand how Ea is affected by changes in afterload, and in turn, how the PV loop can shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.", - "title": "Arterial Elastance (Ea) and Afterload", - "duration": 573, - "youtube_id": "BGIkU1yzBNM", - "keywords": "", - "path": "/science/healthcare-and-medicine/changing-the-PV-loop/v/arterial-elastance--ea--and-afterload/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BGIkU1yzBNM.mp4/BGIkU1yzBNM.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/BGIkU1yzBNM.mp4/BGIkU1yzBNM.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BGIkU1yzBNM.m3u8/BGIkU1yzBNM.m3u8" - }, - "slug": "arterial-elastance--ea--and-afterload", - "readable_id": "arterial-elastance--ea--and-afterload" - }, "medicare-sustainability": { "kind": "Video", "description": "How medicare is funded and why it is even less sustainable than social security", @@ -30945,7 +38149,7 @@ "duration": 749, "youtube_id": "n-arbfLTCtI", "keywords": "timothy, geithner, bank, bailout, obama, tarp, talf", - "path": "/finance-economics/geithner-plan/v/geithner-plan-ii/", + "path": "/science/core-finance/money-and-banking/geithner-plan/v/geithner-plan-ii/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/n-arbfLTCtI.mp4/n-arbfLTCtI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n-arbfLTCtI.mp4/n-arbfLTCtI.png", @@ -30961,7 +38165,7 @@ "duration": 802, "youtube_id": "FxkTSjctXdk", "keywords": "federal, reserve, target, rate, deferal, funds, discount, window", - 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"readable_id": "two-more-examples-of-solving-rational-equations" + "slug": "ex-2-multi-step-equation", + "readable_id": "ex-2-multi-step-equation" }, "perpendicular-line-slope": { "kind": "Video", @@ -31025,7 +38261,7 @@ "duration": 151, "youtube_id": "ndPq7gbin7A", "keywords": "u13, l2, t3, we1, Perpendicular, Line, Slope", - "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/perpendicular-line-slope/", + "path": "/math/trigonometry/graphs/parallel_perpendicular/v/perpendicular-line-slope/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ndPq7gbin7A.mp4/ndPq7gbin7A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ndPq7gbin7A.mp4/ndPq7gbin7A.png", @@ -31036,12 +38272,12 @@ }, "l-hopital-s-rule-example-1": { "kind": "Video", - "description": "L'Hopital's Rule Example 1", - "title": "L'Hopital's Rule Example 1", + "description": "L'H\u00f4pital's Rule Example 1", + "title": "L'H\u00f4pital's Rule Example 1", "duration": 463, "youtube_id": "BiVOC3WocXs", "keywords": "L'Hopital's, Rule, Example", - "path": "/math/calculus/differential-calculus/v/l-hopital-s-rule-example-1/", + "path": "/math/calculus/derivative_applications/lhopital_rule/v/l-hopital-s-rule-example-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BiVOC3WocXs.mp4/BiVOC3WocXs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BiVOC3WocXs.mp4/BiVOC3WocXs.png", @@ -31057,7 +38293,7 @@ "duration": 589, "youtube_id": "DYb-AN-lK94", "keywords": "Calculus, derivatives, chain, rule, khan, academy", - "path": "/math/calculus/differential-calculus/v/even-more-chain-rule/", + "path": "/math/calculus/differential-calculus/chain_rule/v/even-more-chain-rule/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/DYb-AN-lK94.mp4/DYb-AN-lK94.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DYb-AN-lK94.mp4/DYb-AN-lK94.png", @@ -31068,12 +38304,12 @@ }, "l-hopital-s-rule-example-3": { "kind": "Video", - "description": "L'Hopital's Rule Example 3", - "title": "L'Hopital's Rule Example 3", + "description": "L'H\u00f4pital's Rule Example 3", + "title": "L'H\u00f4pital's Rule Example 3", "duration": 470, "youtube_id": "MeVFZjT-ABM", "keywords": "L'Hopital's, Rule, Example", - "path": "/math/calculus/differential-calculus/v/l-hopital-s-rule-example-3/", + "path": "/math/calculus/derivative_applications/lhopital_rule/v/l-hopital-s-rule-example-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MeVFZjT-ABM.mp4/MeVFZjT-ABM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MeVFZjT-ABM.mp4/MeVFZjT-ABM.png", @@ -31153,7 +38389,7 @@ "duration": 1015, "youtube_id": "SqcxYnNlI3Y", "keywords": "expected, value, binomial, distribution, E(x)", - "path": "/math/statistics/v/expected-value-of-binomial-distribution/", + "path": "/math/probability/random-variables-topic/binomial_distribution/v/expected-value-of-binomial-distribution/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SqcxYnNlI3Y.mp4/SqcxYnNlI3Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SqcxYnNlI3Y.mp4/SqcxYnNlI3Y.png", @@ -31185,7 +38421,7 @@ "duration": 588, "youtube_id": "zw0waJCEc-w", "keywords": "Trig, trigonmetric, trigonometry, identity, proof, math, sin, khan", - "path": "/math/trigonometry/v/proof--sin-a-b------cos-a--sin-b-----sin-a--cos-b/", + "path": "/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/proof--sin-a-b------cos-a--sin-b-----sin-a--cos-b/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/zw0waJCEc-w.mp4/zw0waJCEc-w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zw0waJCEc-w.mp4/zw0waJCEc-w.png", @@ -31233,7 +38469,7 @@ "duration": 270, "youtube_id": "0QS4VHPV4JA", "keywords": "sample variance, biased, unbiased", - "path": "/math/statistics/v/simulation-providing-evidence-that--n-1--gives-us-unbiased-estimate/", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/v/simulation-providing-evidence-that--n-1--gives-us-unbiased-estimate/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/0QS4VHPV4JA.mp4/0QS4VHPV4JA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0QS4VHPV4JA.mp4/0QS4VHPV4JA.png", @@ -31292,12 +38528,12 @@ }, "multiplying-fractions-word-problem": { "kind": "Video", - "description": "U02_L2_T1_we4 Multiplying Fractions Word Problem", + "description": "Multiplying Fractions Word Problem", "title": "Multiplying Fractions Word Problem", "duration": 219, "youtube_id": "YJgIGwTysk0", "keywords": "U02_L2_T1_we4, Multiplying, Fractions, Word, Problem, CC_5_NF_6", - "path": "/math/arithmetic/fractions/v/multiplying-fractions-word-problem/", + "path": "/math/arithmetic/fractions/multiplying_and_dividing_frac/v/multiplying-fractions-word-problem/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YJgIGwTysk0.mp4/YJgIGwTysk0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YJgIGwTysk0.mp4/YJgIGwTysk0.png", @@ -31322,6 +38558,22 @@ "slug": "variation-in-a-species", "readable_id": "variation-in-a-species" }, + "williamson-ether-synthesis": { + "kind": "Video", + "description": "", + "title": "williamson ether synthesis", + "duration": 429, + "youtube_id": "X9ypryY7hrQ", + "keywords": "", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-cleavage-ethers/v/williamson-ether-synthesis/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/X9ypryY7hrQ.mp4/X9ypryY7hrQ.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/X9ypryY7hrQ.mp4/X9ypryY7hrQ.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X9ypryY7hrQ.m3u8/X9ypryY7hrQ.m3u8" + }, + "slug": "williamson-ether-synthesis", + "readable_id": "williamson-ether-synthesis" + }, "getting-ea--arterial-elastance--from-the-pv-loop": { "kind": "Video", "description": "Find out how to use the PV loop to draw the Ea (Arterial Elastance) line, and what it represents. Rishi is a pediatric infectious disease physician and works at Khan Academy.", @@ -31338,6 +38590,22 @@ "slug": "getting-ea--arterial-elastance--from-the-pv-loop", "readable_id": "getting-ea--arterial-elastance--from-the-pv-loop" }, + "hemoglobin-moves-o2-and-co2": { + "kind": "Video", + "description": "Learn the two ways that oxygen moves from the lungs to the tissues, and the three ways that carbon dioxide returns from the tissues to the lungs. Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Hemoglobin moves O2 and CO2", + "duration": 898, + "youtube_id": "QP8ImP6NCk8", + "keywords": "", + "path": "/science/healthcare-and-medicine/blood/v/hemoglobin-moves-o2-and-co2/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QP8ImP6NCk8.mp4/QP8ImP6NCk8.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/QP8ImP6NCk8.mp4/QP8ImP6NCk8.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/QP8ImP6NCk8.m3u8/QP8ImP6NCk8.m3u8" + }, + "slug": "hemoglobin-moves-o2-and-co2", + "readable_id": "hemoglobin-moves-o2-and-co2" + }, "fra-fillippo-lippi--portrait-of-a-man-and-woman-at-a-casement--c--1440": { "kind": "Video", "description": "Fra Fillippo Lippi, Portrait of a Man and Woman at a Casement, tempera on wood, c. 1440 (Metropolitan Museum of Art)\n\nSpeakers: Dr. David Drogin, Dr. Beth Harris\n\nFor more: http://smarthistory.org/lippis-portrait-of-a-man-and-woman-at-a-casement.html", @@ -31361,7 +38629,7 @@ "duration": 1032, "youtube_id": "dbdVMThH1n8", "keywords": "Fisher, Esterification, of, Carboxylic, Acid, Ester", - "path": "/science/organic-chemistry/v/fisher-esterification/", + "path": "/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal/v/fisher-esterification/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dbdVMThH1n8.mp4/dbdVMThH1n8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dbdVMThH1n8.mp4/dbdVMThH1n8.png", @@ -31393,7 +38661,7 @@ "duration": 600, "youtube_id": "MNbat1lrJW4", "keywords": "Comparing, Population, Proportions, CC_7_SP_3, CC_7_SP_4", - "path": "/math/statistics/v/comparing-population-proportions-2/", + "path": "/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/comparing-population-proportions-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MNbat1lrJW4.mp4/MNbat1lrJW4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MNbat1lrJW4.mp4/MNbat1lrJW4.png", @@ -31409,7 +38677,7 @@ "duration": 647, "youtube_id": "a1Ye5RcWOqg", "keywords": "Comparing, Population, Proportions, CC_7_SP_3, CC_7_SP_4", - "path": "/math/statistics/v/comparing-population-proportions-1/", + "path": "/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/comparing-population-proportions-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/a1Ye5RcWOqg.mp4/a1Ye5RcWOqg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a1Ye5RcWOqg.mp4/a1Ye5RcWOqg.png", @@ -31425,7 +38693,7 @@ "duration": 429, "youtube_id": "pzQnc_0eZA8", "keywords": "IS/LM, IS, LM, model", - "path": "/finance-economics/macroeconomics/v/government-spending-and-the-is-lm-model/", + "path": "/science/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/government-spending-and-the-is-lm-model/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/pzQnc_0eZA8.mp4/pzQnc_0eZA8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pzQnc_0eZA8.mp4/pzQnc_0eZA8.png", @@ -31473,7 +38741,7 @@ "duration": 197, "youtube_id": "KwYhMXjMlvc", "keywords": "Virgin Mary, Art History, Smarthistory, Mary (mother Of Jesus), Romanesque, Catalan, Barcelona", - "path": "/humanities/art-history/art-history-400-1300-medieval-era/v/virgin-from-ger--second-half-of-the-12th-century/", + "path": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/v/virgin-from-ger--second-half-of-the-12th-century/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/KwYhMXjMlvc.mp4/KwYhMXjMlvc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KwYhMXjMlvc.mp4/KwYhMXjMlvc.png", @@ -31489,7 +38757,7 @@ "duration": 671, "youtube_id": "9M-B5qU7ezY", "keywords": "Direct, Variation, Models, CC_39336_F-LE_1_b", - "path": "/math/algebra/ck12-algebra-1/v/direct-variation-models/", + "path": "/math/algebra/algebra-functions/direct_inverse_variation/v/direct-variation-models/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9M-B5qU7ezY.mp4/9M-B5qU7ezY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9M-B5qU7ezY.mp4/9M-B5qU7ezY.png", @@ -31505,7 +38773,7 @@ "duration": 161, "youtube_id": "DNoDJlB0ygU", "keywords": "correction, physics", - "path": "/science/physics/mechanics/v/correction-to-total-final-velocity-for-projectile/", + "path": "/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/correction-to-total-final-velocity-for-projectile/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/DNoDJlB0ygU.mp4/DNoDJlB0ygU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DNoDJlB0ygU.mp4/DNoDJlB0ygU.png", @@ -31516,12 +38784,12 @@ }, "adding-fractions-with-different-signs": { "kind": "Video", - "description": "U09_L2_T2_we2 Adding fractions with different signs", + "description": "Adding fractions with different signs", "title": "Adding fractions with different signs", "duration": 382, "youtube_id": "QS1LMomm0Gk", "keywords": "U09_L2_T2_we2, Adding, fractions, with, different, signs, CC_4_NF_3_a, CC_4_NF_3_b, CC_4_NF_3_c, CC_5_NF_1, CC_5_NF_2", - "path": "/math/arithmetic/fractions/v/adding-fractions-with-different-signs/", + "path": "/math/arithmetic/fractions/Adding_and_subtracting_fractions/v/adding-fractions-with-different-signs/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QS1LMomm0Gk.mp4/QS1LMomm0Gk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QS1LMomm0Gk.mp4/QS1LMomm0Gk.png", @@ -31537,7 +38805,7 @@ "duration": 608, "youtube_id": "BI_jmI4xRus", "keywords": "Factoring, Special, Products, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_a, CC_39336_F-IF_8_a", - "path": "/math/algebra/ck12-algebra-1/v/factoring-special-products/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/v/factoring-special-products/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BI_jmI4xRus.mp4/BI_jmI4xRus.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BI_jmI4xRus.mp4/BI_jmI4xRus.png", @@ -31569,7 +38837,7 @@ "duration": 951, "youtube_id": "fuSOY9r1R6w", "keywords": "line, vector, integral, field, direction, curve", - "path": "/math/calculus/multivariable-calculus/v/vector-field-line-integrals-dependent-on-path-direction/", + "path": "/math/calculus/line_integrals_topic/line_integrals_vectors/v/vector-field-line-integrals-dependent-on-path-direction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/fuSOY9r1R6w.mp4/fuSOY9r1R6w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fuSOY9r1R6w.mp4/fuSOY9r1R6w.png", @@ -31594,21 +38862,21 @@ "slug": "sat-prep--test-6-section-7-part-4", "readable_id": "sat-prep--test-6-section-7-part-4" }, - "sat-prep--test-6-section-7-part-3": { + "plate-tectonics---difference-between-crust-and-lithosphere": { "kind": "Video", - "description": "Problems 10-13 starting on page 735", - "title": "SAT Prep: Test 6 Section 7 Part 3", - "duration": 566, - "youtube_id": "wXQrhgpMI0o", - "keywords": "Math, SAT, Prep", - "path": "/test-prep/sat-math/v/sat-prep--test-6-section-7-part-3/", + "description": "Plate Tectonics Introduction and Difference between crust and lithosphere", + "title": "Plate Tectonics-- Difference between crust and lithosphere", + "duration": 479, + "youtube_id": "f2BWsPVN7c4", + "keywords": "Plate, Tectonics--, Difference, between, crust, and, lithosphere", + "path": "/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plate-tectonics---difference-between-crust-and-lithosphere/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wXQrhgpMI0o.mp4/wXQrhgpMI0o.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/wXQrhgpMI0o.mp4/wXQrhgpMI0o.png", - 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"path": "/science/organic-chemistry/v/e2-e1-sn2-sn1-reactions-example-3/", + "path": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-e1-e2-sal/v/e2-e1-sn2-sn1-reactions-example-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MtwvLru62Qw.mp4/MtwvLru62Qw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MtwvLru62Qw.mp4/MtwvLru62Qw.png", @@ -31690,21 +38958,21 @@ "slug": "e2-e1-sn2-sn1-reactions-example-3", "readable_id": "e2-e1-sn2-sn1-reactions-example-3" }, - "adding-up-resistance-problem": { + "e2-e1-sn2-sn1-reactions-example-2": { "kind": "Video", - "description": "Here's a chance to see if you can combine what you know to add up resistance in series AND in parallel. Rishi is a pediatric infectious disease physician and works at Khan Academy.", - "title": "Adding up resistance problem", - "duration": 203, - "youtube_id": "5lXw5_4R2B4", - "keywords": "", - "path": "/science/healthcare-and-medicine/blood-pressure/v/adding-up-resistance-problem/", + "description": "E2 E1 Sn2 Sn1 Reactions Example 2", + "title": "E2 E1 Sn2 Sn1 Reactions Example 2", + "duration": 186, + "youtube_id": "vinEPfrqfiU", + "keywords": "E2, E1, Sn2, Sn1, Reactions, Example, organic, chemistry", + "path": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-e1-e2-sal/v/e2-e1-sn2-sn1-reactions-example-2/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5lXw5_4R2B4.mp4/5lXw5_4R2B4.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/5lXw5_4R2B4.mp4/5lXw5_4R2B4.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5lXw5_4R2B4.m3u8/5lXw5_4R2B4.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/vinEPfrqfiU.mp4/vinEPfrqfiU.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/vinEPfrqfiU.mp4/vinEPfrqfiU.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vinEPfrqfiU.m3u8/vinEPfrqfiU.m3u8" }, - "slug": "adding-up-resistance-problem", - "readable_id": "adding-up-resistance-problem" + "slug": "e2-e1-sn2-sn1-reactions-example-2", + "readable_id": "e2-e1-sn2-sn1-reactions-example-2" }, "understanding-calendar-notation": { "kind": "Video", @@ -31713,7 +38981,7 @@ "duration": 581, "youtube_id": "EKKe7DBZVhI", "keywords": "calendar, christ", - "path": "/science/cosmology-and-astronomy/v/understanding-calendar-notation/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/understanding-calendar-notation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/EKKe7DBZVhI.mp4/EKKe7DBZVhI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EKKe7DBZVhI.mp4/EKKe7DBZVhI.png", @@ -31729,7 +38997,7 @@ "duration": 403, "youtube_id": "xkg7370cpjs", "keywords": "U02_L1_T2_we2, Changing, Mixed, Number, to, an, Improper, Fraction", - "path": "/math/arithmetic/fractions/v/changing-a-mixed-number-to-an-improper-fraction/", + "path": "/math/arithmetic/fractions/mixed_numbers/v/changing-a-mixed-number-to-an-improper-fraction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xkg7370cpjs.mp4/xkg7370cpjs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xkg7370cpjs.mp4/xkg7370cpjs.png", @@ -31738,6 +39006,22 @@ "slug": "changing-a-mixed-number-to-an-improper-fraction", "readable_id": "changing-a-mixed-number-to-an-improper-fraction" }, + "diels-alder-vi--more-regiochemistry": { + "kind": "Video", + "description": "", + "title": "diels-alder VI: more regiochemistry", + "duration": 678, + "youtube_id": "jBE80sA2ciY", + "keywords": "", + "path": "/science/organic-chemistry/conjugation-diels-alder-mo-theory/diels-alder-reaction/v/diels-alder-vi--more-regiochemistry/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jBE80sA2ciY.mp4/jBE80sA2ciY.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/jBE80sA2ciY.mp4/jBE80sA2ciY.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jBE80sA2ciY.m3u8/jBE80sA2ciY.m3u8" + }, + "slug": "diels-alder-vi--more-regiochemistry", + "readable_id": "diels-alder-vi--more-regiochemistry" + }, "jan-van-eyck--the-madonna-in-the-church--c--1438": { "kind": "Video", "description": "Jan van Eyck, The Madonna in the Church, c. 1438, oil on oak, 31 x 14 cm (Gem\u00e4ldegalerie, Staatliche Museen zu Berlin). 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", @@ -31873,7 +39173,7 @@ "duration": 616, "youtube_id": "j511hg7Hlbg", "keywords": "integrating, factor, exact, differential, equation", - "path": "/math/differential-equations/v/integrating-factors-1/", + "path": "/math/differential-equations/first-order-differential-equations/exact-equations/v/integrating-factors-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/j511hg7Hlbg.mp4/j511hg7Hlbg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/j511hg7Hlbg.mp4/j511hg7Hlbg.png", @@ -31884,12 +39184,12 @@ }, "the-substitution-method": { "kind": "Video", - "description": "u14_l2_t1_we1 The Substitution Method", + "description": " The Substitution Method", "title": "The Substitution Method", "duration": 279, "youtube_id": "uzyd_mIJaoc", "keywords": "u14_l2_t1_we1, The, Substitution, Method, CC_8_EE_8_b, CC_39336_A-REI_6", - "path": "/math/algebra/systems-of-eq-and-ineq/extra-systems/v/the-substitution-method/", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-with-substitution/v/the-substitution-method/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/uzyd_mIJaoc.mp4/uzyd_mIJaoc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uzyd_mIJaoc.mp4/uzyd_mIJaoc.png", @@ -31905,7 +39205,7 @@ "duration": 171, "youtube_id": "AuCH7fHZsZ4", "keywords": "arbitrage", - "path": "/finance-economics/core-finance/v/arbitrage-basics/", + "path": "/science/core-finance/derivative-securities/put-call-options/v/arbitrage-basics/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AuCH7fHZsZ4.mp4/AuCH7fHZsZ4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AuCH7fHZsZ4.mp4/AuCH7fHZsZ4.png", @@ -31916,12 +39216,12 @@ }, "absolute-value-inequalities-example-2": { "kind": "Video", - "description": "u10_l3_t2_we2 Absolute Value Inequalities", + "description": "Absolute Value Inequalities", "title": "Absolute Value Inequalities Example 2", "duration": 279, "youtube_id": "YKQLZOq4HTA", "keywords": "u10_l3_t2_we2, Absolute, Value, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_6_NS_7_c, CC_6_NS_7_d, CC_7_EE_4, CC_7_EE_4_b, CC_7_NS_1, CC_7_NS_1_c, CC_39336_A-CED_1, CC_39336_A-CED_3", - "path": "/math/algebra/solving-linear-equations-and-inequalities/inequalities/v/absolute-value-inequalities-example-2/", + "path": "/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/absolute-value-inequalities-example-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YKQLZOq4HTA.mp4/YKQLZOq4HTA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YKQLZOq4HTA.mp4/YKQLZOq4HTA.png", @@ -31932,12 +39232,12 @@ }, "absolute-value-inequalities-example-3": { "kind": "Video", - "description": "U05_L1_T2_we3 : Absolute value inequalities 3", + "description": "Absolute value inequalities 3", "title": "Absolute value inequalities example 3", "duration": 155, "youtube_id": "y9MGpOGQVqQ", "keywords": "U05_L1_T2_we3, Absolute, value, inequalities, CC_6_EE_8, CC_6_NS_7_a, CC_6_NS_7_c, CC_7_NS_1, CC_8_EE_7_a", - "path": "/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-inequalities-example-3/", + "path": "/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/absolute-value-inequalities-example-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/y9MGpOGQVqQ.mp4/y9MGpOGQVqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y9MGpOGQVqQ.mp4/y9MGpOGQVqQ.png", @@ -31953,7 +39253,7 @@ "duration": 682, "youtube_id": "Z_GWBW_GVGA", "keywords": "Introduction, to, Reaction, Mechanisms", - "path": "/science/organic-chemistry/v/introduction-to-reaction-mechanisms/", + "path": "/science/organic-chemistry/alkenes-alkynes/alkene-reactions/v/introduction-to-reaction-mechanisms/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z_GWBW_GVGA.mp4/Z_GWBW_GVGA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z_GWBW_GVGA.mp4/Z_GWBW_GVGA.png", @@ -31964,12 +39264,12 @@ }, "absolute-value-inequalities-example-1": { "kind": "Video", - "description": "U05_L1_T2_we1 : Absolute value inequalities, graph solution on number line", + "description": "Absolute value inequalities, graph solution on number line", "title": "Absolute value inequalities Example 1", "duration": 207, "youtube_id": "TvUCe6Bomy4", "keywords": "U05_L1_T2_we1, Absolute, value, inequalities", - "path": "/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-inequalities-example-1/", + "path": "/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/absolute-value-inequalities-example-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TvUCe6Bomy4.mp4/TvUCe6Bomy4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TvUCe6Bomy4.mp4/TvUCe6Bomy4.png", @@ -31996,12 +39296,12 @@ }, "multiplying-whole-numbers-and-applications-2": { "kind": "Video", - "description": "U01_L3_T1_we2 Multiplying Whole Numbers and Applications 2", - "title": "Multiplying Whole Numbers and Applications 2", + "description": "Multiplying Whole Numbers and Applications 2", + "title": "Example: 2-digit time 2-digit", "duration": 198, "youtube_id": "0WUXQNjdRvM", "keywords": "U01_L3_T1_we2, Multiplying, Whole, Numbers, and, Applications, CC_3_OA_5, CC_3_OA_7, CC_5_NBT_5", - "path": "/math/arithmetic/multiplication-division/v/multiplying-whole-numbers-and-applications-2/", + "path": "/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplying-whole-numbers-and-applications-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/0WUXQNjdRvM.mp4/0WUXQNjdRvM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0WUXQNjdRvM.mp4/0WUXQNjdRvM.png", @@ -32012,12 +39312,12 @@ }, "multiplying-whole-numbers-and-applications-1": { "kind": "Video", - "description": "U01_L3_T1_we1 Multiplying Whole Numbers and Applications 1", - "title": "Multiplying Whole Numbers and Applications 1", + "description": "Multiplying Whole Numbers and Applications 1", + "title": "Example: Ways to represent multiplication", "duration": 183, "youtube_id": "Yw3EoxC_GXU", "keywords": "U01_L3_T1_we1, Multiplying, Whole, Numbers, and, Applications, CC_3_OA_5, CC_3_OA_7", - "path": "/math/arithmetic/multiplication-division/v/multiplying-whole-numbers-and-applications-1/", + "path": "/math/arithmetic/multiplication-division/multiplication_fun/v/multiplying-whole-numbers-and-applications-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yw3EoxC_GXU.mp4/Yw3EoxC_GXU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Yw3EoxC_GXU.mp4/Yw3EoxC_GXU.png", @@ -32028,12 +39328,12 @@ }, "multiplying-whole-numbers-and-applications-6": { "kind": "Video", - "description": "U01_L3_T1_we6 Multiplying Whole Numbers and Applications 6", - "title": "Multiplying Whole Numbers and Applications 6", + "description": "Multiplying Whole Numbers and Applications 6", + "title": "Example: 1-digit multiplication word problem", "duration": 159, "youtube_id": "bS6EmYzpou4", "keywords": "U01_L3_T1_we6, Multiplying, Whole, Numbers, and, Applications", - "path": "/math/arithmetic/multiplication-division/v/multiplying-whole-numbers-and-applications-6/", + "path": "/math/arithmetic/multiplication-division/multiplication_fun/v/multiplying-whole-numbers-and-applications-6/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/bS6EmYzpou4.mp4/bS6EmYzpou4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bS6EmYzpou4.mp4/bS6EmYzpou4.png", @@ -32044,12 +39344,12 @@ }, "multiplying-whole-numbers-and-applications-4": { "kind": "Video", - "description": "U01_L3_T1_we4 Multiplying Whole Numbers and Applications 4", - "title": "Multiplying Whole Numbers and Applications 4", + "description": "Multiplying Whole Numbers and Applications 4", + "title": "Example: Two digit multiplication", "duration": 111, "youtube_id": "tx2Niw7aJJ8", "keywords": "U01_L3_T1_we4, Multiplying, Whole, Numbers, and, Applications, CC_3_NBT_1, CC_3_OA_8, CC_4_NBT_3, CC_4_NBT_5, CC_4_OA_3, CC_5_NBT_5", - "path": "/math/arithmetic/multiplication-division/v/multiplying-whole-numbers-and-applications-4/", + "path": "/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplying-whole-numbers-and-applications-4/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tx2Niw7aJJ8.mp4/tx2Niw7aJJ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tx2Niw7aJJ8.mp4/tx2Niw7aJJ8.png", @@ -32060,12 +39360,12 @@ }, "find-an-unknown-in-a-proportion-2": { "kind": "Video", - "description": "U04_L2_T1_we3 t2 Find an Unknown in a Proportion 2", + "description": "t2 Find an Unknown in a Proportion 2", "title": "Find an Unknown in a Proportion 2", "duration": 348, "youtube_id": "4ywTWCaLmXE", "keywords": "U04_L2_T1_we3, t2, Find, an, Unknown, in, Proportion, CC_7_RP_2", - "path": "/math/algebra/rational-expressions/v/find-an-unknown-in-a-proportion-2/", + "path": "/math/algebra/rational-expressions/ratios_algebra/v/find-an-unknown-in-a-proportion-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4ywTWCaLmXE.mp4/4ywTWCaLmXE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4ywTWCaLmXE.mp4/4ywTWCaLmXE.png", @@ -32081,7 +39381,7 @@ "duration": 718, "youtube_id": "FK1s1-OJ5BE", "keywords": "Plate, Tectonics, --, Geological, Features, of, Divergent, Boundaries", - "path": "/science/cosmology-and-astronomy/v/plate-tectonics----geological-features-of-divergent-plate-boundaries/", + "path": "/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plate-tectonics----geological-features-of-divergent-plate-boundaries/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/FK1s1-OJ5BE.mp4/FK1s1-OJ5BE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FK1s1-OJ5BE.mp4/FK1s1-OJ5BE.png", @@ -32097,7 +39397,7 @@ "duration": 619, "youtube_id": "ks33lMoxst0", "keywords": "present, value, finance", - "path": "/finance-economics/core-finance/v/introduction-to-present-value/", + "path": "/science/core-finance/interest-tutorial/present-value/v/introduction-to-present-value/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ks33lMoxst0.mp4/ks33lMoxst0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ks33lMoxst0.mp4/ks33lMoxst0.png", @@ -32113,7 +39413,7 @@ "duration": 744, "youtube_id": "0FxRYePmogU", "keywords": "geithner, tim, TARP, bailout", - "path": "/finance-economics/geithner-plan/v/geithner-plan-2-5/", + "path": "/science/core-finance/money-and-banking/geithner-plan/v/geithner-plan-2-5/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/0FxRYePmogU.mp4/0FxRYePmogU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0FxRYePmogU.mp4/0FxRYePmogU.png", @@ -32129,7 +39429,7 @@ "duration": 227, "youtube_id": "mS7t91U9Qqg", "keywords": "treasury, yield, debt", - "path": "/finance-economics/core-finance/v/treasury-bond-prices-and-yields/", + "path": "/science/core-finance/stock-and-bonds/bonds-tutorial/v/treasury-bond-prices-and-yields/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/mS7t91U9Qqg.mp4/mS7t91U9Qqg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mS7t91U9Qqg.mp4/mS7t91U9Qqg.png", @@ -32145,7 +39445,7 @@ "duration": 556, "youtube_id": "Z3X6QqezqUg", "keywords": "trapezoidal, sum, integration, differentiation", - "path": "/math/calculus/integral-calculus/v/2011-calculus-ab-free-response--2--a---b/", + "path": "/math/calculus/ap_calc_topic/ab_examples/v/2011-calculus-ab-free-response--2--a---b/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z3X6QqezqUg.mp4/Z3X6QqezqUg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z3X6QqezqUg.mp4/Z3X6QqezqUg.png", @@ -32161,7 +39461,7 @@ "duration": 571, "youtube_id": "GZx3U0dbASg", "keywords": "Scale, of, Earth, and, Sun", - "path": "/science/cosmology-and-astronomy/v/scale-of-earth-and--sun/", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-earth-and--sun/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GZx3U0dbASg.mp4/GZx3U0dbASg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GZx3U0dbASg.mp4/GZx3U0dbASg.png", @@ -32177,7 +39477,7 @@ "duration": 705, "youtube_id": "xF_Z4QK0tsA", "keywords": "macroeconomics, keynes", - "path": "/finance-economics/macroeconomics/v/details-on-shifting-aggregate-planned-expenditures/", + "path": "/science/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial/v/details-on-shifting-aggregate-planned-expenditures/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xF_Z4QK0tsA.mp4/xF_Z4QK0tsA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xF_Z4QK0tsA.mp4/xF_Z4QK0tsA.png", @@ -32193,7 +39493,7 @@ "duration": 830, "youtube_id": "peXbz0frV74", "keywords": "moment, torque", - "path": "/science/physics/mechanics/v/moments--part-2/", + "path": "/science/physics/torque-angular-momentum/torque-tutorial/v/moments--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/peXbz0frV74.mp4/peXbz0frV74.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/peXbz0frV74.mp4/peXbz0frV74.png", @@ -32204,12 +39504,12 @@ }, "parallel-line-equation": { "kind": "Video", - "description": "u13_l2_t3_we2 Parallel Line Equation", + "description": "Parallel Line Equation", "title": "Parallel Line Equation", "duration": 264, "youtube_id": "4Cmv7dUgggU", "keywords": "u13_l2_t3_we2, Parallel, Line, Equation", - "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/parallel-line-equation/", + "path": "/math/trigonometry/graphs/parallel_perpendicular/v/parallel-line-equation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Cmv7dUgggU.mp4/4Cmv7dUgggU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Cmv7dUgggU.mp4/4Cmv7dUgggU.png", @@ -32321,7 +39621,7 @@ "duration": 271, "youtube_id": "5UUa0V-MAqI", "keywords": "long, short, hedge, fund", - "path": "/finance-economics/core-finance/v/hedge-fund-strategies---long-short--2/", + "path": "/science/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-fund-strategies---long-short--2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5UUa0V-MAqI.mp4/5UUa0V-MAqI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5UUa0V-MAqI.mp4/5UUa0V-MAqI.png", @@ -32337,7 +39637,7 @@ "duration": 1022, "youtube_id": "MTzTqvzWzm8", "keywords": "division, arithmetic, CC_3_OA_2, CC_3_OA_7, CC_4_NBT_6", - "path": "/math/arithmetic/multiplication-division/v/division-1/", + "path": "/math/arithmetic/multiplication-division/delightful_division/v/division-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MTzTqvzWzm8.mp4/MTzTqvzWzm8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MTzTqvzWzm8.mp4/MTzTqvzWzm8.png", @@ -32353,7 +39653,7 @@ "duration": 699, "youtube_id": "8Ft5iHhauJ0", "keywords": "long, division, CC_3_OA_2, CC_3_OA_6, CC_3_OA_7, CC_4_NBT_6, CC_4_OA_3", - "path": "/math/arithmetic/multiplication-division/v/division-2/", + "path": "/math/arithmetic/multiplication-division/delightful_division/v/division-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8Ft5iHhauJ0.mp4/8Ft5iHhauJ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8Ft5iHhauJ0.mp4/8Ft5iHhauJ0.png", @@ -32385,7 +39685,7 @@ "duration": 700, "youtube_id": "AOsWph2FNLw", "keywords": "probability, combinations", - "path": "/math/probability/v/generalizing-with-binomial-coefficients--bit-advanced/", + "path": "/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/generalizing-with-binomial-coefficients--bit-advanced/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AOsWph2FNLw.mp4/AOsWph2FNLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AOsWph2FNLw.mp4/AOsWph2FNLw.png", @@ -32401,7 +39701,7 @@ "duration": 170, "youtube_id": "C1pHvEAKmLA", "keywords": "macroeconomics", - "path": "/finance-economics/macroeconomics/v/more-on-final-and-intermediate-gdp-contributions/", + "path": "/science/macroeconomics/gdp-topic/circular-econ-gdp-tutorial/v/more-on-final-and-intermediate-gdp-contributions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/C1pHvEAKmLA.mp4/C1pHvEAKmLA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C1pHvEAKmLA.mp4/C1pHvEAKmLA.png", @@ -32417,7 +39717,7 @@ "duration": 1139, "youtube_id": "IW4Reburjpc", "keywords": "convolution", - "path": "/math/differential-equations/v/introduction-to-the-convolution/", + "path": "/math/differential-equations/laplace-transform/convolution-integral/v/introduction-to-the-convolution/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/IW4Reburjpc.mp4/IW4Reburjpc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IW4Reburjpc.mp4/IW4Reburjpc.png", @@ -32458,14 +39758,26 @@ "slug": "conjugate-acids-and-bases", "readable_id": "conjugate-acids-and-bases" }, + "claus-sluter--with-claus-de-werve---mourners--tomb-of-philip-the---installed-1410": { + "kind": "Video", + "description": "Claus Sluter (with Claus de Werve), Mourners, Tomb of Philip the Bold, Duke of Burgundy, 1410 (Museum of Fine Arts, Dijon)\n\nSpeakers: Dr. Beth Harris & Dr. Steven Zucker", + "title": "Claus Sluter and Claus de Werve, Mourners, from the Tomb of Philip the Bold", + "duration": 203, + "youtube_id": "WdAFrBpP1Bw", + "keywords": "", + "path": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/v/claus-sluter--with-claus-de-werve---mourners--tomb-of-philip-the---installed-1410/", + "download_urls": null, + "slug": "claus-sluter--with-claus-de-werve---mourners--tomb-of-philip-the---installed-1410", + "readable_id": "claus-sluter--with-claus-de-werve---mourners--tomb-of-philip-the---installed-1410" + }, "change-of-base-formula": { "kind": "Video", - "description": "u18_l3_t1_we3 Change of Base Formula", + "description": " Change of Base Formula", "title": "Change of Base Formula", "duration": 452, "youtube_id": "OkFdDqW9xxM", "keywords": "u18_l3_t1_we3, Change, of, Base, Formula", - "path": "/math/algebra/logarithms-tutorial/v/change-of-base-formula/", + "path": "/math/algebra/logarithms-tutorial/logarithm_properties/v/change-of-base-formula/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/OkFdDqW9xxM.mp4/OkFdDqW9xxM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OkFdDqW9xxM.mp4/OkFdDqW9xxM.png", @@ -32474,6 +39786,22 @@ "slug": "change-of-base-formula", "readable_id": "change-of-base-formula" }, + "punnett-square-fun": { + "kind": "Video", + "description": "Dihybrid crosses. Independent assortment. Incomplete dominance. Codominance and multiple alleles.", + "title": "Punnett Square Fun", + "duration": 1516, + "youtube_id": "D5ymMYcLtv0", + "keywords": "biology, heredity, genetics, genotype, phenotype, dominant, recessive", + "path": "/science/biology/heredity-and-genetics/v/punnett-square-fun/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/D5ymMYcLtv0.mp4/D5ymMYcLtv0.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/D5ymMYcLtv0.mp4/D5ymMYcLtv0.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D5ymMYcLtv0.m3u8/D5ymMYcLtv0.m3u8" + }, + "slug": "punnett-square-fun", + "readable_id": "punnett-square-fun" + }, "strong-acid-titration": { "kind": "Video", "description": "Strong acid titration and equivalence point", @@ -32529,7 +39857,7 @@ "duration": 425, "youtube_id": "PASajlCGBTw", "keywords": "banking, macroeconomics", - "path": "/finance-economics/macroeconomics/v/simple-fractional-reserve-accounting--part-2/", + "path": "/science/macroeconomics/monetary-system-topic/factional-reserve-accounting/v/simple-fractional-reserve-accounting--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PASajlCGBTw.mp4/PASajlCGBTw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PASajlCGBTw.mp4/PASajlCGBTw.png", @@ -32556,12 +39884,12 @@ }, "adding-and-subtracting-polynomials-1": { "kind": "Video", - "description": "U08_L2_T2_we1 Adding and Subtracting Polynomials 1", + "description": "Adding and Subtracting Polynomials 1", "title": "Adding and Subtracting Polynomials 1", "duration": 121, "youtube_id": "ahdKdxsTj8E", "keywords": "U08_L2_T2_we1, Adding, and, Subtracting, Polynomials, CC_39336_A-APR_1", - "path": "/math/algebra/polynomials/v/adding-and-subtracting-polynomials-1/", + "path": "/math/algebra/polynomials/polynomial_basics/v/adding-and-subtracting-polynomials-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ahdKdxsTj8E.mp4/ahdKdxsTj8E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ahdKdxsTj8E.mp4/ahdKdxsTj8E.png", @@ -32572,12 +39900,12 @@ }, "adding-and-subtracting-polynomials-3": { "kind": "Video", - "description": "U08_L2_T2_we3 Adding and Subtracting Polynomials 3", + "description": "Adding and Subtracting Polynomials 3", "title": "Adding and Subtracting Polynomials 3", "duration": 147, "youtube_id": "DMyhUb1pZT0", "keywords": "U08_L2_T2_we3, Adding, and, Subtracting, Polynomials, CC_39336_A-APR_1", - "path": "/math/algebra/polynomials/v/adding-and-subtracting-polynomials-3/", + "path": "/math/algebra/polynomials/polynomial_basics/v/adding-and-subtracting-polynomials-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/DMyhUb1pZT0.mp4/DMyhUb1pZT0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DMyhUb1pZT0.mp4/DMyhUb1pZT0.png", @@ -32588,12 +39916,12 @@ }, "adding-and-subtracting-polynomials-2": { "kind": "Video", - "description": "U08_L2_T2_we2 Adding and Subtracting Polynomials 2", + "description": "Adding and Subtracting Polynomials 2", "title": "Adding and Subtracting Polynomials 2", "duration": 104, "youtube_id": "ZGl2ExHwdak", "keywords": "U08_L2_T2_we2, Adding, and, Subtracting, Polynomials, CC_39336_A-APR_1", - "path": "/math/algebra/polynomials/v/adding-and-subtracting-polynomials-2/", + "path": "/math/algebra/polynomials/polynomial_basics/v/adding-and-subtracting-polynomials-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZGl2ExHwdak.mp4/ZGl2ExHwdak.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZGl2ExHwdak.mp4/ZGl2ExHwdak.png", @@ -32609,7 +39937,7 @@ "duration": 605, "youtube_id": "U2Nw5T44zvY", "keywords": "equity, home, mortgage, finance, balance, sheet, accounting", - 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"path": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/v/graphical-slope-of-a-line/", + "path": "/math/trigonometry/graphs/slope_of_line/v/graphical-slope-of-a-line/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/81SseQCpGws.mp4/81SseQCpGws.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/81SseQCpGws.mp4/81SseQCpGws.png", @@ -32721,7 +40049,7 @@ "duration": 284, "youtube_id": "yDB-191sa2M", "keywords": "stokes, theorem", - "path": "/math/calculus/multivariable-calculus/v/conditions-for-stokes-theorem/", + "path": "/math/calculus/multivariable-calculus/stokes_theorem/v/conditions-for-stokes-theorem/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/yDB-191sa2M.mp4/yDB-191sa2M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yDB-191sa2M.mp4/yDB-191sa2M.png", @@ -32753,7 +40081,7 @@ "duration": 531, "youtube_id": "xheOq0XZ-so", "keywords": "Carboxlic, Acid, Introduction, formic, acetic, oxalic", - "path": "/science/organic-chemistry/v/carboxlic-acid-introduction/", + "path": "/science/organic-chemistry/carboxylic-acids-derivatives/naming-carboxylic-acids-sal/v/carboxlic-acid-introduction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xheOq0XZ-so.mp4/xheOq0XZ-so.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xheOq0XZ-so.mp4/xheOq0XZ-so.png", @@ -32785,7 +40113,7 @@ "duration": 463, "youtube_id": "PhfbEr2btGQ", "keywords": "eigenvalue, eigenvector", - "path": "/math/linear-algebra/v/linear-algebra--introduction-to-eigenvalues-and-eigenvectors/", + "path": "/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra--introduction-to-eigenvalues-and-eigenvectors/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PhfbEr2btGQ.mp4/PhfbEr2btGQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PhfbEr2btGQ.mp4/PhfbEr2btGQ.png", @@ -32817,7 +40145,7 @@ "duration": 321, "youtube_id": "1byR9UEQJN0", "keywords": "algebra, synthetic, division", - "path": "/math/algebra/polynomials/v/synthetic-division/", + "path": "/math/trigonometry/polynomial_and_rational/polynomial_tutorial/v/synthetic-division/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1byR9UEQJN0.mp4/1byR9UEQJN0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1byR9UEQJN0.mp4/1byR9UEQJN0.png", @@ -32833,7 +40161,7 @@ "duration": 312, "youtube_id": "ITVQrzDSekU", "keywords": "ratio, algebra, CC_7_RP_3", - "path": "/math/algebra/rational-expressions/v/ratio-problem-with-basic-algebra--new-hd/", + "path": "/math/algebra/rational-expressions/ratios_algebra/v/ratio-problem-with-basic-algebra--new-hd/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ITVQrzDSekU.mp4/ITVQrzDSekU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ITVQrzDSekU.mp4/ITVQrzDSekU.png", @@ -32913,7 +40241,7 @@ "duration": 667, "youtube_id": "iLFcSfzrlMk", "keywords": "K, Ar, Dating, Calculation", - "path": "/science/cosmology-and-astronomy/v/k-ar-dating-calculation/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/v/k-ar-dating-calculation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/iLFcSfzrlMk.mp4/iLFcSfzrlMk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iLFcSfzrlMk.mp4/iLFcSfzrlMk.png", @@ -32961,7 +40289,7 @@ "duration": 265, "youtube_id": "f7J0WQsajX8", "keywords": "Byzantine Empire Archangel, smarthistory, art history, Ivory", - "path": "/humanities/art-history/art-history-400-1300-medieval-era/v/byzantine-panel-with-archangel--c--525-50/", + "path": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/v/byzantine-panel-with-archangel--c--525-50/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/f7J0WQsajX8.mp4/f7J0WQsajX8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f7J0WQsajX8.mp4/f7J0WQsajX8.png", @@ -32972,12 +40300,12 @@ }, "find-an-unknown-in-a-proportion": { "kind": "Video", - "description": "U04_L2_T1_we2 t2 Find an Unknown in a Proportion", + "description": "t2 Find an Unknown in a Proportion", "title": "Find an Unknown in a Proportion", "duration": 440, "youtube_id": "GO5ajwbFqVQ", "keywords": "U04_L2_T1_we2, t2, Find, an, Unknown, in, Proportion, CC_7_RP_2", - "path": "/math/algebra/rational-expressions/v/find-an-unknown-in-a-proportion/", + "path": "/math/algebra/rational-expressions/ratios_algebra/v/find-an-unknown-in-a-proportion/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GO5ajwbFqVQ.mp4/GO5ajwbFqVQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GO5ajwbFqVQ.mp4/GO5ajwbFqVQ.png", @@ -33025,7 +40353,7 @@ "duration": 746, "youtube_id": "frE1rjhH77Y", "keywords": "evolution, anthropology, archeology, fossils, neanderthal, ape", - "path": "/science/cosmology-and-astronomy/v/human-evolution-overview/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/human-evolution-overview/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/frE1rjhH77Y.mp4/frE1rjhH77Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/frE1rjhH77Y.mp4/frE1rjhH77Y.png", @@ -33041,7 +40369,7 @@ "duration": 765, "youtube_id": "vcwvzUVLPw0", "keywords": "vector, function, derivative, calculus", - "path": "/math/calculus/multivariable-calculus/v/vector-valued-function-derivative-example/", + "path": "/math/calculus/line_integrals_topic/position_vector_functions/v/vector-valued-function-derivative-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/vcwvzUVLPw0.mp4/vcwvzUVLPw0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vcwvzUVLPw0.mp4/vcwvzUVLPw0.png", @@ -33073,7 +40401,7 @@ "duration": 324, "youtube_id": "W9B3VYdC5T8", "keywords": "geometry, angles, sum", - "path": "/math/geometry/polygons-quads-parallelograms/v/sum-of-the-exterior-angles-of-convex-polygon/", + "path": "/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/sum-of-the-exterior-angles-of-convex-polygon/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/W9B3VYdC5T8.mp4/W9B3VYdC5T8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/W9B3VYdC5T8.mp4/W9B3VYdC5T8.png", @@ -33084,12 +40412,12 @@ }, "polynomial-divided-by-monomial": { "kind": "Video", - "description": "u11_l2_t5_we2 Polynomial divided by monomial", + "description": "Polynomial divided by monomial", "title": "Polynomial divided by monomial", "duration": 285, "youtube_id": "UquFdMg6Z_U", "keywords": "u11_l2_t5_we2, Polynomial, divided, by, monomial, CC_6_EE_1, CC_6_EE_2_c, CC_39336_A-APR_1", - "path": "/math/algebra/polynomials/v/polynomial-divided-by-monomial/", + "path": "/math/algebra/polynomials/dividing_polynomials/v/polynomial-divided-by-monomial/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/UquFdMg6Z_U.mp4/UquFdMg6Z_U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UquFdMg6Z_U.mp4/UquFdMg6Z_U.png", @@ -33098,6 +40426,22 @@ "slug": "polynomial-divided-by-monomial", "readable_id": "polynomial-divided-by-monomial" }, + "the-why-of-the-9-divisibility-rule": { + "kind": "Video", + "description": "Why you can test divisibility by 9 by just adding the digits", + "title": "The Why of the 9 Divisibility Rule", + "duration": 308, + "youtube_id": "XAzFGx3Ruig", + "keywords": "", + "path": "/math/arithmetic/factors-multiples/divisibility_tests/v/the-why-of-the-9-divisibility-rule/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XAzFGx3Ruig.mp4/XAzFGx3Ruig.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/XAzFGx3Ruig.mp4/XAzFGx3Ruig.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XAzFGx3Ruig.m3u8/XAzFGx3Ruig.m3u8" + }, + "slug": "the-why-of-the-9-divisibility-rule", + "readable_id": "the-why-of-the-9-divisibility-rule" + }, "sn1-amine-reaction": { "kind": "Video", "description": "Sn1 Amine Reaction", @@ -33105,7 +40449,7 @@ "duration": 495, "youtube_id": "pBAwbypjW9s", "keywords": "Sn1, Amine, Reaction", - 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"path": "/math/linear-algebra/v/linear-algebra--introduction-to-linear-independence/", + "path": "/math/linear-algebra/vectors_and_spaces/linear_independence/v/linear-algebra--introduction-to-linear-independence/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/CrV1xCWdY-g.mp4/CrV1xCWdY-g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CrV1xCWdY-g.mp4/CrV1xCWdY-g.png", @@ -33217,7 +40577,7 @@ "duration": 353, "youtube_id": "KrkbbRxdDZ8", "keywords": "economics, micro, supply, demand", - "path": "/finance-economics/microeconomics/v/demand-curve-as-marginal-benefit-curve/", + "path": "/science/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut/v/demand-curve-as-marginal-benefit-curve/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/KrkbbRxdDZ8.mp4/KrkbbRxdDZ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/KrkbbRxdDZ8.mp4/KrkbbRxdDZ8.png", @@ -33249,7 +40609,7 @@ "duration": 604, "youtube_id": "sQYpUJV8foY", "keywords": "continuous, compounding, interest, math, finance", - 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"path": "/finance-economics/core-finance/v/amortization-and-depreciation/", + "path": "/science/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut/v/amortization-and-depreciation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/eKw3Aq0vvbo.mp4/eKw3Aq0vvbo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eKw3Aq0vvbo.mp4/eKw3Aq0vvbo.png", @@ -33546,21 +40906,21 @@ "slug": "sir-john-everett-millais--ophelia--1851-52", "readable_id": "sir-john-everett-millais--ophelia--1851-52" }, - "hypertension-symptoms-and-categories": { + "using-reserves-to-stablize-currency": { "kind": "Video", - "description": "Learn the most common symptoms (or lack thereof!) and the two major categories of hypertension. 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Fetal Circulation Right Before Birth", + "duration": 713, + "youtube_id": "-IRkisEtzsk", + "keywords": "", + "path": "/science/healthcare-and-medicine/fetal-circulation/v/fetal-circulation-right-before-birth/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-IRkisEtzsk.mp4/-IRkisEtzsk.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/-IRkisEtzsk.mp4/-IRkisEtzsk.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-IRkisEtzsk.m3u8/-IRkisEtzsk.m3u8" + }, + "slug": "fetal-circulation-right-before-birth", + "readable_id": "fetal-circulation-right-before-birth" + }, "vel-zquez--los-borrachos--the-drunks---1628-1629": { "kind": "Video", "description": "Diego Rodr\u00edguez de Silva y Vel\u00e1zquez, Los Borrachos (The Drunks) \nor The Triumph of Bacchus, 1628-1629, 165 x 225 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", @@ -33953,7 +41345,7 @@ "duration": 619, "youtube_id": "LpY8Qa3IP1w", "keywords": "conservative, vector, field, path, independence, calculus", - 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"path": "/math/linear-algebra/v/linear-algebra--transpose-of-a-vector/", + "path": "/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra--transpose-of-a-vector/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lSoaMCNKfAg.mp4/lSoaMCNKfAg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lSoaMCNKfAg.mp4/lSoaMCNKfAg.png", @@ -34225,7 +41617,7 @@ "duration": 209, "youtube_id": "m4mrd7sHCPM", "keywords": "Put-Call, Parity", - "path": "/finance-economics/core-finance/v/put-call-parity/", + "path": "/science/core-finance/derivative-securities/put-call-options/v/put-call-parity/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/m4mrd7sHCPM.mp4/m4mrd7sHCPM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m4mrd7sHCPM.mp4/m4mrd7sHCPM.png", @@ -34257,7 +41649,7 @@ "duration": 613, "youtube_id": "xRjfRVXXFxU", "keywords": "investment, consumption, speculation", - "path": "/finance-economics/core-finance/v/investment-vs--comsumption-2/", + "path": "/science/core-finance/housing/investment-consumption/v/investment-vs--comsumption-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xRjfRVXXFxU.mp4/xRjfRVXXFxU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xRjfRVXXFxU.mp4/xRjfRVXXFxU.png", @@ -34266,6 +41658,22 @@ "slug": "investment-vs--comsumption-2", "readable_id": "investment-vs--comsumption-2" }, + "reduction-of-alkynes": { + "kind": "Video", + "description": "", + "title": "reduction of alkynes", + "duration": 604, + "youtube_id": "RdFfIEDxo18", + "keywords": "", + "path": "/science/organic-chemistry/alkenes-alkynes/alkyne-reactions/v/reduction-of-alkynes/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/RdFfIEDxo18.mp4/RdFfIEDxo18.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/RdFfIEDxo18.mp4/RdFfIEDxo18.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RdFfIEDxo18.m3u8/RdFfIEDxo18.m3u8" + }, + "slug": "reduction-of-alkynes", + "readable_id": "reduction-of-alkynes" + }, "bread-mold-kills-bacteria": { "kind": "Video", "description": "How the penicillin in bread mold kills bacteria.", @@ -34305,7 +41713,7 @@ "duration": 734, "youtube_id": "rfyq32mHcYs", "keywords": "laplace, convolution", - 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"slug": "iit-jee-hairy-trig-and-algebra--part-2", - "readable_id": "iit-jee-hairy-trig-and-algebra--part-2" + "slug": "new-definitions-2", + "readable_id": "new-definitions-2" }, "total-consumer-surplus-as-area": { "kind": "Video", @@ -34497,7 +41921,7 @@ "duration": 346, "youtube_id": "RBUBIRtn0xQ", "keywords": "economics, supply, surplus, consumer", - "path": "/finance-economics/microeconomics/v/total-consumer-surplus-as-area/", + "path": "/science/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut/v/total-consumer-surplus-as-area/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/RBUBIRtn0xQ.mp4/RBUBIRtn0xQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RBUBIRtn0xQ.mp4/RBUBIRtn0xQ.png", @@ -34508,12 +41932,12 @@ }, "compound-inequalities-3": { "kind": "Video", - "description": "u10_l3_t1_we3 Compound Inequalities 3", + "description": "Compound Inequalities 3", "title": "Compound Inequalities 3", "duration": 268, "youtube_id": "cvB8b4AACyE", "keywords": "u10_l3_t1_we3, Compound, Inequalities, CC_6_EE_8, CC_6_NS_6_c, CC_6_NS_7_a, CC_7_EE_4, CC_7_EE_4_b, CC_39336_A-CED_1, CC_39336_A-CED_3, CC_39336_A-REI_3", - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Learn how a stethoscope can help determine blood pressure", + "duration": 327, + "youtube_id": "A8xO92u0VFs", + "keywords": "", + "path": "/science/healthcare-and-medicine/blood-pressure/v/learn-how-a-stethoscope-can-help-determine-blood-pressure/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/7vHh1sfZ5KE.mp4/7vHh1sfZ5KE.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/7vHh1sfZ5KE.mp4/7vHh1sfZ5KE.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/7vHh1sfZ5KE.m3u8/7vHh1sfZ5KE.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/A8xO92u0VFs.mp4/A8xO92u0VFs.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/A8xO92u0VFs.mp4/A8xO92u0VFs.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/A8xO92u0VFs.m3u8/A8xO92u0VFs.m3u8" }, - "slug": "circuits--part-2", - "readable_id": "circuits--part-2" + "slug": "learn-how-a-stethoscope-can-help-determine-blood-pressure", + "readable_id": "learn-how-a-stethoscope-can-help-determine-blood-pressure" }, "factoring-trinomials-with-a-leading-1-coefficient": { "kind": "Video", - 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"path": "/finance-economics/core-finance/v/open-market-operations-and-quantitative-easing-overview/", + "path": "/science/core-finance/money-and-banking/federal-reserve/v/open-market-operations-and-quantitative-easing-overview/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TpLlJ8-AnQM.mp4/TpLlJ8-AnQM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TpLlJ8-AnQM.mp4/TpLlJ8-AnQM.png", @@ -34801,7 +42225,7 @@ "duration": 803, "youtube_id": "sEiQm7IzUg8", "keywords": "Addition, of, Water, (Acid-Catalyzed), Mechanism", - "path": "/science/organic-chemistry/v/addition-of-water--acid-catalyzed--mechanism/", + "path": "/science/organic-chemistry/alkenes-alkynes/alkene-reactions/v/addition-of-water--acid-catalyzed--mechanism/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/sEiQm7IzUg8.mp4/sEiQm7IzUg8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sEiQm7IzUg8.mp4/sEiQm7IzUg8.png", @@ -34812,7 +42236,7 @@ }, "basic-rate-problem": { "kind": "Video", - "description": "U03_L2_T3_we2 : Basic Rate Problem", + "description": "Basic Rate Problem", "title": "Basic Rate Problem", "duration": 248, "youtube_id": "7WXijfIZh64", @@ -34828,12 +42252,12 @@ }, "more-multiplying-polynomials": { "kind": "Video", - "description": "u11_l3_t2_we3 More multiplying polynomials", + "description": "More multiplying polynomials", "title": "More multiplying polynomials", "duration": 154, "youtube_id": "D6mivA_8L8U", "keywords": "u11_l3_t2_we3, More, multiplying, polynomials, CC_39336_A-APR_1", - "path": "/math/algebra/polynomials/v/more-multiplying-polynomials/", + "path": "/math/algebra/polynomials/multiplying_polynomials/v/more-multiplying-polynomials/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/D6mivA_8L8U.mp4/D6mivA_8L8U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/D6mivA_8L8U.mp4/D6mivA_8L8U.png", @@ -34865,7 +42289,7 @@ "duration": 627, "youtube_id": "aSY8XPGChAU", "keywords": "macroeconomics, mps, mpc, marginal, propensity, save, consume", - "path": "/finance-economics/macroeconomics/v/keynesian-cross-and-the-multiplier/", + "path": "/science/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial/v/keynesian-cross-and-the-multiplier/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/aSY8XPGChAU.mp4/aSY8XPGChAU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aSY8XPGChAU.mp4/aSY8XPGChAU.png", @@ -34913,7 +42337,7 @@ "duration": 793, "youtube_id": "jpKjXtywTlQ", "keywords": "circumscribed, circle, triangle, circumcircle, rhombus, CC_7_G_6", - "path": "/math/geometry/polygons-quads-parallelograms/v/2003-aime-ii-problem-7/", + "path": "/math/geometry/angles/v/2003-aime-ii-problem-7/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jpKjXtywTlQ.mp4/jpKjXtywTlQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jpKjXtywTlQ.mp4/jpKjXtywTlQ.png", @@ -34945,7 +42369,7 @@ "duration": 771, "youtube_id": "tyVCA_8MUV4", "keywords": "Surface, Integral, Example, Part, 2, Calculating, the, Differential", - "path": "/math/calculus/multivariable-calculus/v/surface-integral-example-part-2---calculating-the-surface-differential/", + "path": "/math/calculus/multivariable-calculus/surface_integrals/v/surface-integral-example-part-2---calculating-the-surface-differential/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tyVCA_8MUV4.mp4/tyVCA_8MUV4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tyVCA_8MUV4.mp4/tyVCA_8MUV4.png", @@ -34977,7 +42401,7 @@ "duration": 722, "youtube_id": "jDNalKBb3aA", "keywords": "bailout, paulson, bernanke, SWF, sovereign, wealth, fund, equity", - "path": "/finance-economics/paulson-bailout/v/bailout-6--getting-an-equity-infusion/", + "path": "/science/core-finance/money-and-banking/bank-bailout/v/bailout-6--getting-an-equity-infusion/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jDNalKBb3aA.mp4/jDNalKBb3aA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jDNalKBb3aA.mp4/jDNalKBb3aA.png", @@ -34986,22 +42410,6 @@ "slug": "bailout-6--getting-an-equity-infusion", "readable_id": "bailout-6--getting-an-equity-infusion" }, - 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"path": "/math/statistics/v/anova-3--hypothesis-test-with-f-statistic/", + "path": "/math/probability/statistics-inferential/anova/v/anova-3--hypothesis-test-with-f-statistic/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Xg8_iSkJpAE.mp4/Xg8_iSkJpAE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Xg8_iSkJpAE.mp4/Xg8_iSkJpAE.png", @@ -35740,12 +43132,12 @@ }, "solving-percent-problems-2": { "kind": "Video", - "description": "U05_L2_T1_we2 Solving Percent Problems 2", + "description": "Solving Percent Problems 2", "title": "Solving Percent Problems 2", "duration": 277, "youtube_id": "N4kDzoQOngY", "keywords": "U05_L2_T1_we2, Solving, Percent, Problems, CC_6_RP_3_c", - "path": "/math/arithmetic/percents/v/solving-percent-problems-2/", + "path": "/math/arithmetic/decimals/percent_word_probs/v/solving-percent-problems-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/N4kDzoQOngY.mp4/N4kDzoQOngY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N4kDzoQOngY.mp4/N4kDzoQOngY.png", @@ -35756,12 +43148,12 @@ }, "solving-percent-problems-3": { "kind": "Video", - "description": "U05_L2_T1_we3 Solving Percent Problems 3", + "description": "Solving Percent Problems 3", "title": "Solving Percent Problems 3", "duration": 326, "youtube_id": "DAikW24_O0A", "keywords": "U05_L2_T1_we3, Solving, Percent, Problems, CC_6_RP_3_c", - "path": "/math/arithmetic/percents/v/solving-percent-problems-3/", + "path": "/math/arithmetic/decimals/percent_word_probs/v/solving-percent-problems-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/DAikW24_O0A.mp4/DAikW24_O0A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DAikW24_O0A.mp4/DAikW24_O0A.png", @@ -35777,7 +43169,7 @@ "duration": 303, "youtube_id": "NehkLV77ITk", "keywords": "divisibility", - "path": "/math/arithmetic/factors-multiples/v/the-why-of-the-3-divisibility-rule/", + "path": "/math/arithmetic/factors-multiples/divisibility_tests/v/the-why-of-the-3-divisibility-rule/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NehkLV77ITk.mp4/NehkLV77ITk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NehkLV77ITk.mp4/NehkLV77ITk.png", @@ -35793,7 +43185,7 @@ "duration": 340, "youtube_id": "eMl2z3ezlrQ", "keywords": "significant, figures", - "path": "/math/arithmetic/decimals/v/more-on-significant-figures/", + "path": "/math/arithmetic/decimals/significant_figures_tutorial/v/more-on-significant-figures/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/eMl2z3ezlrQ.mp4/eMl2z3ezlrQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eMl2z3ezlrQ.mp4/eMl2z3ezlrQ.png", @@ -35809,7 +43201,7 @@ "duration": 190, "youtube_id": "E2MRMdaPKcc", "keywords": "stokes, theorem, vector, calculus", - "path": "/math/calculus/multivariable-calculus/v/stokes-example-part-1/", + "path": "/math/calculus/multivariable-calculus/stokes_theorem/v/stokes-example-part-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/E2MRMdaPKcc.mp4/E2MRMdaPKcc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E2MRMdaPKcc.mp4/E2MRMdaPKcc.png", @@ -35825,7 +43217,7 @@ "duration": 539, "youtube_id": "96D7RHUQvMA", "keywords": "More, Organic, Chemistry, Naming, Examples", - "path": "/science/organic-chemistry/v/more-organic-chemistry-naming-examples-1/", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/more-organic-chemistry-naming-examples-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/96D7RHUQvMA.mp4/96D7RHUQvMA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/96D7RHUQvMA.mp4/96D7RHUQvMA.png", @@ -35834,6 +43226,22 @@ "slug": "more-organic-chemistry-naming-examples-1", "readable_id": "more-organic-chemistry-naming-examples-1" }, + "linear-subspaces": { + "kind": "Video", + "description": "Introduction to linear subspaces of Rn", + "title": "Linear Subspaces", + "duration": 1409, + "youtube_id": "pMFv6liWK4M", + "keywords": "Linear, Algebra, Vectors, span, combination, subspace", + "path": "/math/linear-algebra/vectors_and_spaces/subspace_basis/v/linear-subspaces/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/pMFv6liWK4M.mp4/pMFv6liWK4M.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/pMFv6liWK4M.mp4/pMFv6liWK4M.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pMFv6liWK4M.m3u8/pMFv6liWK4M.m3u8" + }, + "slug": "linear-subspaces", + "readable_id": "linear-subspaces" + }, "the-kidney-and-nephron": { "kind": "Video", "description": "Overview of how the nephrons in the kidney filter blood and reabsorb water and other molecules.", @@ -35841,7 +43249,7 @@ "duration": 1118, "youtube_id": "cc8sUv2SuaY", "keywords": "renal, kidney, nephron", - "path": "/science/biology/immunology/v/the-kidney-and-nephron/", + "path": "/science/biology/human-biology/v/the-kidney-and-nephron/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/cc8sUv2SuaY.mp4/cc8sUv2SuaY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cc8sUv2SuaY.mp4/cc8sUv2SuaY.png", @@ -35857,7 +43265,7 @@ "duration": 500, "youtube_id": "ReEMqdZEEX0", "keywords": "Another, Rational, Function, Graph, Example, CC_39336_F-IF_7_d", - "path": "/math/algebra/ck12-algebra-1/v/another-rational-function-graph-example/", + "path": "/math/trigonometry/polynomial_and_rational/asymptotes-graphing-rational/v/another-rational-function-graph-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ReEMqdZEEX0.mp4/ReEMqdZEEX0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ReEMqdZEEX0.mp4/ReEMqdZEEX0.png", @@ -35884,12 +43292,12 @@ }, "u-s--customary-and-metric-units": { "kind": "Video", - "description": "U06_L2_T1_we1 U.S. Customary and Metric units", + "description": "U.S. Customary and Metric units", "title": "U.S. Customary and Metric units", "duration": 310, "youtube_id": "y2RHWA7t0WM", "keywords": "U06_L2_T1_we1, U.S., Customary, and, Metric, units, CC_3_MD_2", - "path": "/math/algebra/rational-expressions/v/u-s--customary-and-metric-units/", + "path": "/math/arithmetic/rates-and-ratios/unit_conversion/v/u-s--customary-and-metric-units/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/y2RHWA7t0WM.mp4/y2RHWA7t0WM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y2RHWA7t0WM.mp4/y2RHWA7t0WM.png", @@ -35900,12 +43308,12 @@ }, "non-linear-systems-of-equations-2": { "kind": "Video", - "description": "U10_L2_T2_we2 Non-Linear Systems of Equations 2", + "description": "Non-Linear Systems of Equations 2", "title": "Non-Linear Systems of Equations 2", "duration": 501, "youtube_id": "XPf8LMu7QSw", "keywords": "U10_L2_T2_we2, Non-Linear, Systems, of, Equations, CC_39336_A-REI_10, CC_39336_F-IF_7_a", - "path": "/math/algebra/conic-sections/v/non-linear-systems-of-equations-2/", + "path": "/math/trigonometry/systems_eq_ineq/fancier_systems_precalc/v/non-linear-systems-of-equations-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XPf8LMu7QSw.mp4/XPf8LMu7QSw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XPf8LMu7QSw.mp4/XPf8LMu7QSw.png", @@ -35916,12 +43324,12 @@ }, "non-linear-systems-of-equations-3": { "kind": "Video", - "description": "U10_L2_T2_we3 Non-Linear Systems of Equations 3", + "description": "Non-Linear Systems of Equations 3", "title": "Non-Linear Systems of Equations 3", "duration": 416, "youtube_id": "FksgVpM_iXs", "keywords": "U10_L2_T2_we3, Non-Linear, Systems, of, Equations, CC_39336_A-REI_10, CC_39336_F-IF_7_a", - "path": "/math/algebra/conic-sections/v/non-linear-systems-of-equations-3/", + "path": "/math/trigonometry/systems_eq_ineq/fancier_systems_precalc/v/non-linear-systems-of-equations-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/FksgVpM_iXs.mp4/FksgVpM_iXs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FksgVpM_iXs.mp4/FksgVpM_iXs.png", @@ -35937,7 +43345,7 @@ "duration": 533, "youtube_id": "J0gXdEAaSiA", "keywords": "E2, Elimination, Reactions, organic, chemistry", - "path": "/science/organic-chemistry/v/e2-reactions/", + "path": "/science/organic-chemistry/substitution-elimination-reactions/elimination-reactions-tutorial/v/e2-reactions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/J0gXdEAaSiA.mp4/J0gXdEAaSiA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/J0gXdEAaSiA.mp4/J0gXdEAaSiA.png", @@ -35948,12 +43356,12 @@ }, "non-linear-systems-of-equations-1": { "kind": "Video", - "description": "U10_L2_T2_we1 Non-Linear Systems of Equations 1", + "description": "Non-Linear Systems of Equations 1", "title": "Non-Linear Systems of Equations 1", "duration": 344, "youtube_id": "hjigR_rHKDI", "keywords": "U10_L2_T2_we1, Non-Linear, Systems, of, Equations, CC_39336_A-REI_10, CC_39336_A-REI_7, CC_39336_F-IF_7_a", - "path": "/math/algebra/conic-sections/v/non-linear-systems-of-equations-1/", + "path": "/math/trigonometry/systems_eq_ineq/fancier_systems_precalc/v/non-linear-systems-of-equations-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/hjigR_rHKDI.mp4/hjigR_rHKDI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hjigR_rHKDI.mp4/hjigR_rHKDI.png", @@ -35969,7 +43377,7 @@ "duration": 592, "youtube_id": "oMWTMj78cwc", "keywords": "matrix, product, distributive", - "path": "/math/linear-algebra/v/distributive-property-of-matrix-products/", + "path": "/math/linear-algebra/matrix_transformations/composition_of_transformations/v/distributive-property-of-matrix-products/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/oMWTMj78cwc.mp4/oMWTMj78cwc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oMWTMj78cwc.mp4/oMWTMj78cwc.png", @@ -35980,12 +43388,12 @@ }, "factoring-and-the-distributive-property-2": { "kind": "Video", - "description": "U09_L1_T1_we2 Factoring and the Distributive Property 2", + "description": "Factoring and the Distributive Property 2", "title": "Factoring and the Distributive Property 2", "duration": 286, "youtube_id": "499MvHFrqUU", "keywords": "U09_L1_T1_we2, Factoring, and, the, Distributive, Property, CC_8_EE_7_b, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", - "path": "/math/algebra/polynomials/v/factoring-and-the-distributive-property-2/", + "path": "/math/algebra/polynomials/multiplying_polynomials/v/factoring-and-the-distributive-property-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/499MvHFrqUU.mp4/499MvHFrqUU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/499MvHFrqUU.mp4/499MvHFrqUU.png", @@ -35996,12 +43404,12 @@ }, "factoring-and-the-distributive-property-3": { "kind": "Video", - "description": "U09_L1_T1_we3 Factoring and the Distributive Property 3", + "description": "Factoring and the Distributive Property 3", "title": "Factoring and the Distributive Property 3", "duration": 354, "youtube_id": "MZl6Mna0leQ", "keywords": "U09_L1_T1_we3, Factoring, and, the, Distributive, Property, CC_8_EE_7_b, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", - "path": "/math/algebra/polynomials/v/factoring-and-the-distributive-property-3/", + "path": "/math/algebra/polynomials/multiplying_polynomials/v/factoring-and-the-distributive-property-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MZl6Mna0leQ.mp4/MZl6Mna0leQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MZl6Mna0leQ.mp4/MZl6Mna0leQ.png", @@ -36017,7 +43425,7 @@ "duration": 257, "youtube_id": "iNemmT1hnzA", "keywords": "Data, on, Chinese, US, Balance, of, Payments", - "path": "/finance-economics/current-economics/v/data-on-chinese-us-balance-of-payments/", + "path": "/science/core-finance/money-and-banking/china-us-debt-situation/v/data-on-chinese-us-balance-of-payments/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/iNemmT1hnzA.mp4/iNemmT1hnzA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iNemmT1hnzA.mp4/iNemmT1hnzA.png", @@ -36026,6 +43434,22 @@ "slug": "data-on-chinese-us-balance-of-payments", "readable_id": "data-on-chinese-us-balance-of-payments" }, + "Example 2: Solving a quadratic equation by factoring": { + "kind": "Video", + "description": "U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi", + "title": "Example 2: Solving a quadratic equation by factoring", + "duration": 199, + "youtube_id": "04RpkdaNzr8", + "keywords": "U09_L2_T2_we2, Solving, Quadratic, Equations, by, Factoring, 2.avi, CC_39336_A-REI_4, CC_39336_A-REI_4_b", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/v/Example 2: Solving a quadratic equation by factoring/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/04RpkdaNzr8.mp4/04RpkdaNzr8.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/04RpkdaNzr8.mp4/04RpkdaNzr8.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/04RpkdaNzr8.m3u8/04RpkdaNzr8.m3u8" + }, + "slug": "Example 2: Solving a quadratic equation by factoring", + "readable_id": "Example 2: Solving a quadratic equation by factoring" + }, "monopolist-optimizing-price--part-1---total-revenue": { "kind": "Video", "description": "Starting to think about how a monopolist would rationally optimize profits", @@ -36033,7 +43457,7 @@ "duration": 431, "youtube_id": "cczABrLd_uA", "keywords": "microeconomics", - "path": "/finance-economics/microeconomics/v/monopolist-optimizing-price--part-1---total-revenue/", + "path": "/science/microeconomics/perfect-competition-topic/monopolies-tutorial/v/monopolist-optimizing-price--part-1---total-revenue/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/cczABrLd_uA.mp4/cczABrLd_uA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/cczABrLd_uA.mp4/cczABrLd_uA.png", @@ -36065,7 +43489,7 @@ "duration": 813, "youtube_id": "kDRqSJIiTqU", "keywords": "bond, price, interest, rate", - "path": "/finance-economics/core-finance/v/relationship-between-bond-prices-and-interest-rates/", + "path": "/science/core-finance/stock-and-bonds/bonds-tutorial/v/relationship-between-bond-prices-and-interest-rates/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/kDRqSJIiTqU.mp4/kDRqSJIiTqU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kDRqSJIiTqU.mp4/kDRqSJIiTqU.png", @@ -36076,12 +43500,12 @@ }, "completing-perfect-square-trinomials": { "kind": "Video", - "description": "u16_l5_t1_we2 Completing Perfect Square Trinomials", - "title": "Completing Perfect Square Trinomials", + "description": "Completing Perfect Square Trinomials", + "title": "Example: Completing perfect square trinomials", "duration": 208, "youtube_id": "tYv-Pchyu0Y", "keywords": "u16_l5_t1_we2, Completing, Perfect, Square, Trinomials", - "path": "/math/algebra/quadratics/v/completing-perfect-square-trinomials/", + "path": "/math/algebra/quadratics/completing_the_square/v/completing-perfect-square-trinomials/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tYv-Pchyu0Y.mp4/tYv-Pchyu0Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tYv-Pchyu0Y.mp4/tYv-Pchyu0Y.png", @@ -36129,7 +43553,7 @@ "duration": 585, "youtube_id": "Fc5t_5r_7IU", "keywords": "Calculating, R-Squared, to, see, how, well, regression, line, fits, data, CC_8_SP_2, CC_8_SP_3", - "path": "/math/statistics/v/calculating-r-squared/", + "path": "/math/probability/regression/regression-correlation/v/calculating-r-squared/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Fc5t_5r_7IU.mp4/Fc5t_5r_7IU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Fc5t_5r_7IU.mp4/Fc5t_5r_7IU.png", @@ -36138,6 +43562,38 @@ "slug": "calculating-r-squared", "readable_id": "calculating-r-squared" }, + "amide-formation-from-acyl-chloride": { + "kind": "Video", + "description": "Amide Formation from Acyl Chloride", + "title": "Amide Formation from Acyl Chloride", + "duration": 541, + "youtube_id": "gMKtGulgGH8", + "keywords": "Amide, Formation, Acyl, Chloride", + "path": "/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal/v/amide-formation-from-acyl-chloride/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gMKtGulgGH8.mp4/gMKtGulgGH8.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/gMKtGulgGH8.mp4/gMKtGulgGH8.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gMKtGulgGH8.m3u8/gMKtGulgGH8.m3u8" + }, + "slug": "amide-formation-from-acyl-chloride", + "readable_id": "amide-formation-from-acyl-chloride" + }, + "type-ii-regions-in-three-dimensions": { + "kind": "Video", + "description": "Definition and intuition for Type 2 Regions", + "title": "Type II Regions in Three Dimensions", + "duration": 449, + "youtube_id": "pZ_2bATPi2I", + "keywords": "", + "path": "/math/calculus/divergence_theorem_topic/region_types_3d/v/type-ii-regions-in-three-dimensions/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/pZ_2bATPi2I.mp4/pZ_2bATPi2I.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/pZ_2bATPi2I.mp4/pZ_2bATPi2I.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pZ_2bATPi2I.m3u8/pZ_2bATPi2I.m3u8" + }, + "slug": "type-ii-regions-in-three-dimensions", + "readable_id": "type-ii-regions-in-three-dimensions" + }, "more-implicit-differentiation": { "kind": "Video", "description": "2 more implicit differentiation examples", @@ -36145,7 +43601,7 @@ "duration": 690, "youtube_id": "hrg1hCzg3W0", "keywords": "calculus, implicit, differentiation, derivative", - "path": "/math/calculus/differential-calculus/v/more-implicit-differentiation/", + "path": "/math/calculus/differential-calculus/implicit_differentiation/v/more-implicit-differentiation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/hrg1hCzg3W0.mp4/hrg1hCzg3W0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hrg1hCzg3W0.mp4/hrg1hCzg3W0.png", @@ -36161,7 +43617,7 @@ "duration": 568, "youtube_id": "52wxpYnS64U", "keywords": "tension, pie, friction, mass, acceleration, physics", - "path": "/science/physics/mechanics/v/tension-in-an-accelerating-system-and-pie-in-the-face/", + "path": "/science/physics/forces-newtons-laws/tension-tutorial/v/tension-in-an-accelerating-system-and-pie-in-the-face/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/52wxpYnS64U.mp4/52wxpYnS64U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/52wxpYnS64U.mp4/52wxpYnS64U.png", @@ -36177,7 +43633,7 @@ "duration": 687, "youtube_id": "wgkRH5Uoavk", "keywords": "taylor, BC, calculus, AP, advanced, placement", - "path": "/math/calculus/multivariable-calculus/v/error-or-remainder-of-a-taylor-polynomial-approximation/", + "path": "/math/calculus/sequences_series_approx_calc/maclaurin_taylor/v/error-or-remainder-of-a-taylor-polynomial-approximation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wgkRH5Uoavk.mp4/wgkRH5Uoavk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wgkRH5Uoavk.mp4/wgkRH5Uoavk.png", @@ -36193,7 +43649,7 @@ "duration": 503, "youtube_id": "WqzK3UAXaHs", "keywords": "geometry, euclid, lincoln, marquee", - "path": "/math/geometry/intro-to-euclidean-geo/v/euclid-as-the-father-of-geometry/", + "path": "/math/geometry/segments-and-angles/intro_euclid/v/euclid-as-the-father-of-geometry/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/WqzK3UAXaHs.mp4/WqzK3UAXaHs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/WqzK3UAXaHs.mp4/WqzK3UAXaHs.png", @@ -36225,7 +43681,7 @@ "duration": 153, "youtube_id": "TuId1spuyoc", "keywords": "Adding, fractions, ex, 1", - 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"description": "u16_l4_t1_we1 Complex Numbers", + "description": "Complex Numbers", "title": "Complex Numbers", "duration": 141, "youtube_id": "MEuPzvh0roM", "keywords": "u16_l4_t1_we1, Complex, Numbers", - "path": "/math/algebra/complex-numbers/v/complex-numbers/", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc/v/complex-numbers/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MEuPzvh0roM.mp4/MEuPzvh0roM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MEuPzvh0roM.mp4/MEuPzvh0roM.png", @@ -36298,22 +43754,6 @@ "slug": "complex-numbers", "readable_id": "complex-numbers" }, - "range--variance-and-standard-deviation-as-measures-of-dispersion": { - "kind": "Video", - "description": "Range, Variance and Standard Deviation as Measures of Dispersion", - "title": "Range, Variance and Standard Deviation as Measures of Dispersion", - "duration": 754, - "youtube_id": "E4HAYd0QnRc", - "keywords": "Range, Variance, and, Standard, Deviation, CC_6_SP_5_c", - 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"path": "/math/calculus/integral-calculus/v/2011-calculus-bc-free-response--6b/", + "path": "/math/calculus/ap_calc_topic/bc_sample_questions/v/2011-calculus-bc-free-response--6b/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NQazgcu8c7s.mp4/NQazgcu8c7s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NQazgcu8c7s.mp4/NQazgcu8c7s.png", @@ -36353,7 +43793,7 @@ "duration": 178, "youtube_id": "l1hJABkcuYI", "keywords": "2011, Calculus, BC, Free, Response, #6c", - "path": "/math/calculus/integral-calculus/v/2011-calculus-bc-free-response--6c/", + "path": "/math/calculus/ap_calc_topic/bc_sample_questions/v/2011-calculus-bc-free-response--6c/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/l1hJABkcuYI.mp4/l1hJABkcuYI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l1hJABkcuYI.mp4/l1hJABkcuYI.png", @@ -36369,7 +43809,7 @@ "duration": 712, "youtube_id": "m6oMgtGsAa4", "keywords": "2011, Calculus, BC, Free, Response, #6d", - "path": "/math/calculus/multivariable-calculus/v/2011-calculus-bc-free-response--6d/", + "path": "/math/calculus/ap_calc_topic/bc_sample_questions/v/2011-calculus-bc-free-response--6d/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/m6oMgtGsAa4.mp4/m6oMgtGsAa4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m6oMgtGsAa4.mp4/m6oMgtGsAa4.png", @@ -36385,7 +43825,7 @@ "duration": 607, "youtube_id": "c7ByaI3T7Dc", "keywords": "Partial, Derivatives, of, Vector-Valued, Functions", - "path": "/math/calculus/multivariable-calculus/v/partial-derivatives-of-vector-valued-functions/", + "path": "/math/calculus/multivariable-calculus/surface_integrals/v/partial-derivatives-of-vector-valued-functions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/c7ByaI3T7Dc.mp4/c7ByaI3T7Dc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/c7ByaI3T7Dc.mp4/c7ByaI3T7Dc.png", @@ -36401,7 +43841,7 @@ "duration": 455, "youtube_id": "Bq9cq9FZuNM", "keywords": "Function, Inverses, Example, CC_39336_F-BF_4, CC_39336_F-BF_4_a, CC_39336_F-BF_4_d", - 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"path": "/finance-economics/macroeconomics/v/monetary-and-fiscal-policy/", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/monetary-fiscal-policy/v/monetary-and-fiscal-policy/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ntxMOKXHlfo.mp4/ntxMOKXHlfo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ntxMOKXHlfo.mp4/ntxMOKXHlfo.png", @@ -36490,6 +43946,38 @@ "slug": "monetary-and-fiscal-policy", "readable_id": "monetary-and-fiscal-policy" }, + "type-i-regions-in-three-dimensions": { + "kind": "Video", + "description": "Definition of Type 1 regions. 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "ADH secretion", + "duration": 905, + "youtube_id": "8dQdfbE8kFU", + "keywords": "", + "path": "/science/healthcare-and-medicine/blood-pressure-control/v/adh-secretion/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8dQdfbE8kFU.mp4/8dQdfbE8kFU.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/8dQdfbE8kFU.mp4/8dQdfbE8kFU.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8dQdfbE8kFU.m3u8/8dQdfbE8kFU.m3u8" + }, + "slug": "adh-secretion", + "readable_id": "adh-secretion" + }, "layers-of-the-heart": { "kind": "Video", "description": "Take a closer look at the heart, explore some of its interesting features and get to know the three layers that make up the heart. Rishi is a pediatric infectious disease physician and works at Khan Academy.", @@ -36508,7 +43996,7 @@ }, "negative-and-positive-exponents": { "kind": "Video", - "description": "u11 l1 t1 we3 Negative and Positive Exponents", + "description": "Negative and Positive Exponents", "title": "Negative and Positive Exponents", "duration": 139, "youtube_id": "JUGmviJC_pk", @@ -36529,7 +44017,7 @@ "duration": 564, "youtube_id": "nhSSu0Nzs30", "keywords": "microeconomics", - "path": "/finance-economics/microeconomics/v/optimal-point-on-budget-line/", + "path": "/science/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/v/optimal-point-on-budget-line/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/nhSSu0Nzs30.mp4/nhSSu0Nzs30.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nhSSu0Nzs30.mp4/nhSSu0Nzs30.png", @@ -36538,6 +44026,22 @@ "slug": "optimal-point-on-budget-line", "readable_id": "optimal-point-on-budget-line" }, + "phidias------sculpture-from-the-east-pediment-of-the-parthenon--c--448-432-b-c-e": { + "kind": "Video", + "description": "Phidias (?), Sculpture from the East Pediment of the Parthenon, marble, c. 448-432 B.C.E. (British Museum, London)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker\n\nhttp://smarthistory.org/Sculpture-from-the-Parthenons-East-Pediment.html", + "title": "Sculpture from the Parthenon's East Pediment", + "duration": 299, + "youtube_id": "Ip6hmC2KIug", + "keywords": "Parthenon, pediment, athens, acropolis, Smarthistory, art history, art, sculpture, Greece, classical, Classical antiquity", + "path": "/humanities/art-history/art-history-400-c-e--ancient-cultures/v/phidias------sculpture-from-the-east-pediment-of-the-parthenon--c--448-432-b-c-e/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ip6hmC2KIug.mp4/Ip6hmC2KIug.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Ip6hmC2KIug.mp4/Ip6hmC2KIug.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Ip6hmC2KIug.m3u8/Ip6hmC2KIug.m3u8" + }, + "slug": "phidias------sculpture-from-the-east-pediment-of-the-parthenon--c--448-432-b-c-e", + "readable_id": "phidias------sculpture-from-the-east-pediment-of-the-parthenon--c--448-432-b-c-e" + }, "goya--the-family-of-charles-iv--c--1800": { "kind": "Video", "description": "Francisco Goya, The Family of Charles IV, c. 1800, Prado Museum, 280 cm x 336 cm (Museo Nacional del Prado, Madrid)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", @@ -36554,6 +44058,22 @@ "slug": "goya--the-family-of-charles-iv--c--1800", "readable_id": "goya--the-family-of-charles-iv--c--1800" }, + "turner--slave-ship--slavers-throwing-overboard-the-dead-and-dying--typhoon-coming-on---1840": { + "kind": "Video", + "description": "Joseph Mallord William Turner, Slave Ship (Slavers Throwing Overboard the Dead and Dying, Typhoon Coming On), 1840 (Museum of Fine Arts, Boston)\n\nSpeakers: Lori Landay & Beth Harris", + "title": "Turner's Slave Ship", + "duration": 242, + "youtube_id": "NoCW80MEGXY", + "keywords": "", + "path": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/v/turner--slave-ship--slavers-throwing-overboard-the-dead-and-dying--typhoon-coming-on---1840/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NoCW80MEGXY.mp4/NoCW80MEGXY.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/NoCW80MEGXY.mp4/NoCW80MEGXY.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NoCW80MEGXY.m3u8/NoCW80MEGXY.m3u8" + }, + "slug": "turner--slave-ship--slavers-throwing-overboard-the-dead-and-dying--typhoon-coming-on---1840", + "readable_id": "turner--slave-ship--slavers-throwing-overboard-the-dead-and-dying--typhoon-coming-on---1840" + }, "circulatory-system-and-the-heart": { "kind": "Video", "description": "Introduction to the circulatory system and the heart", @@ -36604,12 +44124,12 @@ }, "subtracting-rational-expressions": { "kind": "Video", - "description": "u15_l1_t3_we3 Subtracting Rational Expressions", + "description": "Subtracting Rational Expressions", "title": "Subtracting Rational Expressions", "duration": 335, "youtube_id": "YO_SwIKGMqQ", "keywords": "u15_l1_t3_we3, Subtracting, Rational, Expressions, CC_39336_A-SSE_2, CC_39336_A-SSE_3", - "path": "/math/algebra/polynomials/v/subtracting-rational-expressions/", + "path": "/math/trigonometry/exponential_and_logarithmic_func/exp_growth_decay/v/subtracting-rational-expressions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YO_SwIKGMqQ.mp4/YO_SwIKGMqQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YO_SwIKGMqQ.mp4/YO_SwIKGMqQ.png", @@ -36689,7 +44209,7 @@ "duration": 462, "youtube_id": "3SgVUlEcOBU", "keywords": "present, value, DCF, finance", - "path": "/finance-economics/core-finance/v/present-value-3/", + "path": "/science/core-finance/interest-tutorial/present-value/v/present-value-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3SgVUlEcOBU.mp4/3SgVUlEcOBU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3SgVUlEcOBU.mp4/3SgVUlEcOBU.png", @@ -36705,7 +44225,7 @@ "duration": 611, "youtube_id": "4LSktB7Pk_c", "keywords": "present, value, discount, cash, flow", - "path": "/finance-economics/core-finance/v/present-value-2/", + "path": "/science/core-finance/interest-tutorial/present-value/v/present-value-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4LSktB7Pk_c.mp4/4LSktB7Pk_c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4LSktB7Pk_c.mp4/4LSktB7Pk_c.png", @@ -36714,6 +44234,22 @@ "slug": "present-value-2", "readable_id": "present-value-2" }, + "ex-3-age-word-problem": { + "kind": "Video", + "description": "William is 4 times as old as Ben. 12 years ago, William was 7 times as old as Ben. How old is Ben now?", + "title": "Ex 3 Age word problem", + "duration": 388, + "youtube_id": "RGbA2IyJILY", + "keywords": "", + "path": "/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/v/ex-3-age-word-problem/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/RGbA2IyJILY.mp4/RGbA2IyJILY.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/RGbA2IyJILY.mp4/RGbA2IyJILY.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RGbA2IyJILY.m3u8/RGbA2IyJILY.m3u8" + }, + "slug": "ex-3-age-word-problem", + "readable_id": "ex-3-age-word-problem" + }, "ca-geometry--deducing-angle-measures": { "kind": "Video", "description": "46-50, deducing the measure of angles", @@ -36753,7 +44289,7 @@ "duration": 50, "youtube_id": "0YD5xSvseIw", "keywords": "Friedel, Crafts, Acylation, Addendum", - "path": "/science/organic-chemistry/v/friedel-crafts-acylation-addendum/", + "path": "/science/organic-chemistry/aromatic-compounds/reactions-benzene/v/friedel-crafts-acylation-addendum/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/0YD5xSvseIw.mp4/0YD5xSvseIw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0YD5xSvseIw.mp4/0YD5xSvseIw.png", @@ -36769,7 +44305,7 @@ "duration": 662, "youtube_id": "5FEjrStgcF8", "keywords": "scale, science", - "path": "/science/cosmology-and-astronomy/v/scale-of-the-large/", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/scale-small-large-tutorial/v/scale-of-the-large/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5FEjrStgcF8.mp4/5FEjrStgcF8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5FEjrStgcF8.mp4/5FEjrStgcF8.png", @@ -36785,7 +44321,7 @@ "duration": 859, "youtube_id": "gAbadNuQEjI", "keywords": "vector, transformations, linear, algebra", - "path": "/math/linear-algebra/v/vector-transformations/", + "path": "/math/linear-algebra/matrix_transformations/linear_transformations/v/vector-transformations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gAbadNuQEjI.mp4/gAbadNuQEjI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gAbadNuQEjI.mp4/gAbadNuQEjI.png", @@ -36801,7 +44337,7 @@ "duration": 870, "youtube_id": "1JT9oODsClE", "keywords": "Large, Sample, Proportion, Hypothesis, Testing", - "path": "/math/statistics/v/large-sample-proportion-hypothesis-testing/", + "path": "/math/probability/statistics-inferential/hypothesis-testing/v/large-sample-proportion-hypothesis-testing/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1JT9oODsClE.mp4/1JT9oODsClE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1JT9oODsClE.mp4/1JT9oODsClE.png", @@ -36826,21 +44362,21 @@ "slug": "ab-ex-ny--the-painting-techniques-of-mark-rothko--no--16--red--brown--and-black", "readable_id": "ab-ex-ny--the-painting-techniques-of-mark-rothko--no--16--red--brown--and-black" }, - "elasticity-and-strange-percent-changes": { + "resistance-in-a-tube": { "kind": "Video", - "description": "Why we calculate percent changes in a strange way when calculating elasticities", - "title": "Elasticity and Strange Percent Changes", - "duration": 414, - "youtube_id": "fUxSB3yYIbs", - "keywords": "economics, supply, demand", - "path": "/finance-economics/microeconomics/v/elasticity-and-strange-percent-changes/", + "description": "Learn how the size of a tube (it's radius) is related to its resistance to something flowing through. Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Resistance in a tube", + "duration": 534, + "youtube_id": "8X7yEzgurP8", + "keywords": "", + "path": "/science/healthcare-and-medicine/blood-pressure/v/resistance-in-a-tube/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/fUxSB3yYIbs.mp4/fUxSB3yYIbs.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/fUxSB3yYIbs.mp4/fUxSB3yYIbs.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fUxSB3yYIbs.m3u8/fUxSB3yYIbs.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8X7yEzgurP8.mp4/8X7yEzgurP8.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/8X7yEzgurP8.mp4/8X7yEzgurP8.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8X7yEzgurP8.m3u8/8X7yEzgurP8.m3u8" }, - "slug": "elasticity-and-strange-percent-changes", - "readable_id": "elasticity-and-strange-percent-changes" + "slug": "resistance-in-a-tube", + "readable_id": "resistance-in-a-tube" }, "call-option-as-leverage": { "kind": "Video", @@ -36849,7 +44385,7 @@ "duration": 184, "youtube_id": "N8h45mDI80s", "keywords": "Call, Option, as, Leverage", - "path": "/finance-economics/core-finance/v/call-option-as-leverage/", + "path": "/science/core-finance/derivative-securities/put-call-options/v/call-option-as-leverage/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/N8h45mDI80s.mp4/N8h45mDI80s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N8h45mDI80s.mp4/N8h45mDI80s.png", @@ -36865,7 +44401,7 @@ "duration": 277, "youtube_id": "m7qXvQvWlY4", "keywords": "elasticity, demand", - "path": "/finance-economics/microeconomics/v/constant-unit-elasticity/", + "path": "/science/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/constant-unit-elasticity/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/m7qXvQvWlY4.mp4/m7qXvQvWlY4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m7qXvQvWlY4.mp4/m7qXvQvWlY4.png", @@ -36881,7 +44417,7 @@ "duration": 392, "youtube_id": "APNkWrD-U1k", "keywords": "law, of, sines, trigonometry, sin, cos, hypotenuse", - "path": "/math/trigonometry/v/proof--law-of-sines/", + "path": "/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/proof--law-of-sines/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/APNkWrD-U1k.mp4/APNkWrD-U1k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/APNkWrD-U1k.mp4/APNkWrD-U1k.png", @@ -36922,6 +44458,22 @@ "slug": "lebron-asks--why-does-sweating-cool-you-down", "readable_id": "lebron-asks--why-does-sweating-cool-you-down" }, + "meet-the-placenta": { + "kind": "Video", + "description": "Learn how the needs of the fetus are met by the placenta, which is a special organ that belongs to both the mother and the fetus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Meet the Placenta!", + "duration": 749, + "youtube_id": "VuTJPciLcnM", + "keywords": "", + "path": "/science/healthcare-and-medicine/fetal-circulation/v/meet-the-placenta/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VuTJPciLcnM.mp4/VuTJPciLcnM.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/VuTJPciLcnM.mp4/VuTJPciLcnM.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VuTJPciLcnM.m3u8/VuTJPciLcnM.m3u8" + }, + "slug": "meet-the-placenta", + "readable_id": "meet-the-placenta" + }, "napoleon-s-peninsular-campaigns": { "kind": "Video", "description": "French forces get embroiled in the Iberian Peninsula", @@ -36929,7 +44481,7 @@ "duration": 1222, "youtube_id": "ALJGz4r_VF0", "keywords": "napoleon, spain, portugal, austria", - "path": "/humanities/history/euro-hist/v/napoleon-s-peninsular-campaigns/", + "path": "/humanities/history/euro-hist/napoleon-bonaparte/v/napoleon-s-peninsular-campaigns/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ALJGz4r_VF0.mp4/ALJGz4r_VF0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ALJGz4r_VF0.mp4/ALJGz4r_VF0.png", @@ -36945,7 +44497,7 @@ "duration": 826, "youtube_id": "TJgBEI3drUc", "keywords": "convolution, laplace, differential, equations", - "path": "/math/differential-equations/v/the-convolution-and-the-laplace-transform/", + "path": "/math/differential-equations/laplace-transform/convolution-integral/v/the-convolution-and-the-laplace-transform/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TJgBEI3drUc.mp4/TJgBEI3drUc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TJgBEI3drUc.mp4/TJgBEI3drUc.png", @@ -36970,37 +44522,37 @@ "slug": "fluids--part-12", "readable_id": "fluids--part-12" }, - "absolute-value-of-integers": { + "normal-distribution-excel-exercise": { "kind": "Video", - "description": "U09_L1_T2_we2 Absolute Value of Integers", - "title": "Absolute Value of Integers", - "duration": 142, - "youtube_id": "r6hS_8nm1jM", - "keywords": "U09_L1_T2_we2, Absolute, Value, of, Integers, CC_6_NS_7, CC_6_NS_7_c", - "path": "/math/arithmetic/absolute-value/v/absolute-value-of-integers/", + "description": "(Long-26 minutes) Presentation on spreadsheet to show that the normal distribution approximates the binomial distribution for a large number of trials.", + "title": "Normal Distribution Excel Exercise", + "duration": 1564, + "youtube_id": "yTGEMoaWDCQ", + "keywords": "statistics, normal, distribution, binomial, CC_6_SP_5_d, CC_7_SP_2", + "path": "/math/probability/statistics-inferential/normal_distribution/v/normal-distribution-excel-exercise/", "download_urls": { - 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"path": "/math/linear-algebra/v/defining-the-angle-between-vectors/", + "description": "Clarification of the problem in part 10", + "title": "Fluids (part 11)", + "duration": 319, + "youtube_id": "HnfBFeLunk4", + "keywords": "physics, bernoulli's, equation, pressure", + "path": "/science/physics/fluids/v/fluids--part-11/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5AWob_z74Ks.mp4/5AWob_z74Ks.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/5AWob_z74Ks.mp4/5AWob_z74Ks.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5AWob_z74Ks.m3u8/5AWob_z74Ks.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/HnfBFeLunk4.mp4/HnfBFeLunk4.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/HnfBFeLunk4.mp4/HnfBFeLunk4.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/HnfBFeLunk4.m3u8/HnfBFeLunk4.m3u8" }, - "slug": "defining-the-angle-between-vectors", - "readable_id": "defining-the-angle-between-vectors" + "slug": "fluids--part-11", + "readable_id": "fluids--part-11" }, "bronze-casting": { "kind": "Video", @@ -37018,21 +44570,21 @@ "slug": "bronze-casting", "readable_id": "bronze-casting" }, - "fluids--part-10": { + "recursive-factorial-function": { "kind": "Video", - "description": "Second part of the example that uses Bernoulli's equation.", - "title": "Fluids (part 10)", - "duration": 515, - "youtube_id": "NGpJPz44JYc", - "keywords": "bernoulli's, equation, pressure, velocity, physics", - "path": "/science/physics/fluids/v/fluids--part-10/", + "description": "Introduction to recursion.", + "title": "Recursive Factorial Function", + "duration": 335, + "youtube_id": "o920mj0NbhE", + "keywords": "factorial, recursion, computer, science", + "path": "/science/computer-science/v/recursive-factorial-function/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NGpJPz44JYc.mp4/NGpJPz44JYc.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/NGpJPz44JYc.mp4/NGpJPz44JYc.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NGpJPz44JYc.m3u8/NGpJPz44JYc.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/o920mj0NbhE.mp4/o920mj0NbhE.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/o920mj0NbhE.mp4/o920mj0NbhE.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o920mj0NbhE.m3u8/o920mj0NbhE.m3u8" }, - "slug": "fluids--part-10", - "readable_id": "fluids--part-10" + "slug": "recursive-factorial-function", + "readable_id": "recursive-factorial-function" }, "housing-price-conundrum--part-2": { "kind": "Video", @@ -37041,7 +44593,7 @@ "duration": 534, "youtube_id": "wYAhlTHIBT4", "keywords": "economics, housing, prices, bubble, lending", - "path": "/finance-economics/credit-crisis/v/housing-price-conundrum--part-2/", + "path": "/science/core-finance/housing/credit-crisis/v/housing-price-conundrum--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wYAhlTHIBT4.mp4/wYAhlTHIBT4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wYAhlTHIBT4.mp4/wYAhlTHIBT4.png", @@ -37057,7 +44609,7 @@ "duration": 571, "youtube_id": "xKNX8BUWR0g", "keywords": "surjective, onto, injective, one-to-one, functions", - "path": "/math/linear-algebra/v/surjective--onto--and-injective--one-to-one--functions/", + "path": "/math/linear-algebra/matrix_transformations/inverse_transformations/v/surjective--onto--and-injective--one-to-one--functions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xKNX8BUWR0g.mp4/xKNX8BUWR0g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xKNX8BUWR0g.mp4/xKNX8BUWR0g.png", @@ -37068,12 +44620,12 @@ }, "comparing-decimals": { "kind": "Video", - "description": "U03_L1_T2_we1 Comparing Decimals", + "description": "Comparing Decimals", "title": "Comparing Decimals", "duration": 89, "youtube_id": "HCC96awA-FM", "keywords": "U03_L1_T2_we1, Comparing, Decimals, CC_4_NF_7, CC_5_NBT_3, CC_5_NBT_3_b", - "path": "/math/arithmetic/decimals/v/comparing-decimals/", + "path": "/math/arithmetic/decimals/decimal_place_value/v/comparing-decimals/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/HCC96awA-FM.mp4/HCC96awA-FM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HCC96awA-FM.mp4/HCC96awA-FM.png", @@ -37089,7 +44641,7 @@ "duration": 1100, "youtube_id": "eEUK_ThrHuQ", "keywords": "matrix, inverse, determinant", - "path": "/math/linear-algebra/v/linear-algebra--formula-for-2x2-inverse/", + "path": "/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra--formula-for-2x2-inverse/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/eEUK_ThrHuQ.mp4/eEUK_ThrHuQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eEUK_ThrHuQ.mp4/eEUK_ThrHuQ.png", @@ -37105,7 +44657,7 @@ "duration": 672, "youtube_id": "ryJvNEHcuDg", "keywords": "Newman, Projections", - 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"path": "/math/statistics/v/standard-error-of-the-mean/", + "path": "/math/probability/statistics-inferential/sampling_distribution/v/standard-error-of-the-mean/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/J1twbrHel3o.mp4/J1twbrHel3o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/J1twbrHel3o.mp4/J1twbrHel3o.png", @@ -37249,7 +44801,7 @@ "duration": 1235, "youtube_id": "Qm_OS-8COwU", "keywords": "Linear, Algebra, Vectors, span, combination", - "path": "/math/linear-algebra/v/linear-combinations-and-span/", + "path": "/math/linear-algebra/vectors_and_spaces/linear_combinations/v/linear-combinations-and-span/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qm_OS-8COwU.mp4/Qm_OS-8COwU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Qm_OS-8COwU.mp4/Qm_OS-8COwU.png", @@ -37292,12 +44844,12 @@ }, "range-and-mid-range": { "kind": "Video", - "description": "u08_l2_t1_we2 Range and Mid-range", - "title": "Range and Mid-range", + "description": "Range and Mid-range", + "title": "Example: Range and mid-range", "duration": 123, "youtube_id": "7DtWXEPB_AI", "keywords": "u08_l2_t1_we2, Range, and, Mid-range", - "path": "/math/statistics/v/range-and-mid-range/", + "path": "/math/probability/descriptive-statistics/Box-and-whisker plots/v/range-and-mid-range/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/7DtWXEPB_AI.mp4/7DtWXEPB_AI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7DtWXEPB_AI.mp4/7DtWXEPB_AI.png", @@ -37313,7 +44865,7 @@ "duration": 1312, "youtube_id": "yogD_-Op4Wc", "keywords": "Napoleon, Bonaparte, France, Coalition, Wars", - "path": "/humanities/history/euro-hist/v/napoleon-and-the-war-of-the-third-coalition/", + "path": "/humanities/history/euro-hist/napoleon-bonaparte/v/napoleon-and-the-war-of-the-third-coalition/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/yogD_-Op4Wc.mp4/yogD_-Op4Wc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yogD_-Op4Wc.mp4/yogD_-Op4Wc.png", @@ -37324,12 +44876,12 @@ }, "dividing-whole-numbers-and-applications-1": { "kind": "Video", - "description": "U01_L3_T2_we1 Dividing Whole Numbers and Applications 1", - 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An atom needs to be bonded to two other atoms to have a geometry.", + "title": "more sp3 hybridization geometry", + "duration": 669, + "youtube_id": "dgTfuSbXmtc", + "keywords": "", + "path": "/science/organic-chemistry/gen-chem-review/hybrid-orbitals-tutorial/v/more-sp3-hybridization-geometry/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dgTfuSbXmtc.mp4/dgTfuSbXmtc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/dgTfuSbXmtc.mp4/dgTfuSbXmtc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dgTfuSbXmtc.m3u8/dgTfuSbXmtc.m3u8" + }, + "slug": "more-sp3-hybridization-geometry", + "readable_id": "more-sp3-hybridization-geometry" + }, "level-1-multiplying-expressions": { "kind": "Video", "description": "(Ax+By)(Ax+By)", @@ -37937,7 +45569,7 @@ "duration": 478, "youtube_id": "Sc0e6xrRJYY", "keywords": "Algebra, CC_39336_A-APR_1", - "path": "/math/algebra/polynomials/v/level-1-multiplying-expressions/", + "path": "/math/algebra/polynomials/multiplying_polynomials/v/level-1-multiplying-expressions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Sc0e6xrRJYY.mp4/Sc0e6xrRJYY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Sc0e6xrRJYY.mp4/Sc0e6xrRJYY.png", @@ -37946,6 +45578,22 @@ "slug": "level-1-multiplying-expressions", "readable_id": "level-1-multiplying-expressions" }, + "put-as-insurance": { + "kind": "Video", + "description": "Put as Insurance", + "title": "Put as Insurance", + "duration": 228, + "youtube_id": "i65NIcnHS9Y", + "keywords": "Put, as, Insurance", + "path": "/science/core-finance/derivative-securities/put-call-options/v/put-as-insurance/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/i65NIcnHS9Y.mp4/i65NIcnHS9Y.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/i65NIcnHS9Y.mp4/i65NIcnHS9Y.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i65NIcnHS9Y.m3u8/i65NIcnHS9Y.m3u8" + }, + "slug": "put-as-insurance", + "readable_id": "put-as-insurance" + }, "introduction-to-mechanical-advantage": { "kind": "Video", "description": "Introduction to simple machines, mechanical advantage and moments.", @@ -37953,7 +45601,7 @@ "duration": 602, "youtube_id": "pfzJ-z5Ij48", "keywords": "moment, machine, mechanical, advantage, physics", - "path": "/science/physics/mechanics/v/introduction-to-mechanical-advantage/", + "path": "/science/physics/work-and-energy/mechanical-advantage/v/introduction-to-mechanical-advantage/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/pfzJ-z5Ij48.mp4/pfzJ-z5Ij48.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pfzJ-z5Ij48.mp4/pfzJ-z5Ij48.png", @@ -37969,7 +45617,7 @@ "duration": 411, "youtube_id": "OcNt-36QKu8", "keywords": "", - "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/v/trolls--tolls--and-systems-of-equations/", + "path": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc/v/trolls--tolls--and-systems-of-equations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.mp4/OcNt-36QKu8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OcNt-36QKu8.mp4/OcNt-36QKu8.png", @@ -38012,12 +45660,12 @@ }, "relations-and-functions": { "kind": "Video", - "description": "u17_l1_t1_we2 Relations and Functions", + "description": "Relations and Functions", "title": "Relations and Functions", "duration": 417, "youtube_id": "Uz0MtFlLD-k", "keywords": "u17_l1_t1_we2, Relations, and, Functions", - "path": "/math/algebra/algebra-functions/v/relations-and-functions/", + "path": "/math/algebra/algebra-functions/relationships_functions/v/relations-and-functions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Uz0MtFlLD-k.mp4/Uz0MtFlLD-k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Uz0MtFlLD-k.mp4/Uz0MtFlLD-k.png", @@ -38028,12 +45676,12 @@ }, "parts-of-a-circle": { "kind": "Video", - "description": "u07_l2_t3_we1 Parts of a Circle", + "description": "Parts of a Circle", "title": "Parts of a Circle", "duration": 121, "youtube_id": "04N79tItPEA", "keywords": "u07_l2_t3_we1, Parts, of, Circle", - "path": "/math/geometry/circles-topic/v/parts-of-a-circle/", + "path": "/math/geometry/circles/v/parts-of-a-circle/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/04N79tItPEA.mp4/04N79tItPEA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/04N79tItPEA.mp4/04N79tItPEA.png", @@ -38042,14 +45690,30 @@ "slug": "parts-of-a-circle", "readable_id": "parts-of-a-circle" }, + "epoxide-formation-and-anti-dihydroxylation": { + "kind": "Video", + "description": "", + "title": "epoxide formation and anti dihydroxylation", + "duration": 740, + "youtube_id": "KfTosrMs5W0", + "keywords": "", + "path": "/science/organic-chemistry/alkenes-alkynes/alkene-reactions-tutorial/v/epoxide-formation-and-anti-dihydroxylation/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/KfTosrMs5W0.mp4/KfTosrMs5W0.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/KfTosrMs5W0.mp4/KfTosrMs5W0.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KfTosrMs5W0.m3u8/KfTosrMs5W0.m3u8" + }, + "slug": "epoxide-formation-and-anti-dihydroxylation", + "readable_id": "epoxide-formation-and-anti-dihydroxylation" + }, "finding-factors-of-a-number": { "kind": "Video", - "description": "U02_L1_T3_we2 Finding Factors of a Number", + "description": "Finding Factors of a Number", "title": "Finding Factors of a Number", "duration": 593, "youtube_id": "vcn2ruTOwFo", "keywords": "U02_L1_T3_we2, Finding, Factors, of, Number, CC_3_OA_6, CC_4_OA_4, CC_6_NS_4, CC_39336_A-REI_4_b, CC_39336_A-SSE_3_a", - "path": "/math/arithmetic/factors-multiples/v/finding-factors-of-a-number/", + "path": "/math/arithmetic/factors-multiples/divisibility_and_factors/v/finding-factors-of-a-number/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/vcn2ruTOwFo.mp4/vcn2ruTOwFo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vcn2ruTOwFo.mp4/vcn2ruTOwFo.png", @@ -38058,6 +45722,38 @@ "slug": "finding-factors-of-a-number", "readable_id": "finding-factors-of-a-number" }, + "adding-and-subtracting-rational-expressions-3": { + "kind": "Video", + "description": "U11_L1_T3_we3 Adding and Subtracting Rational Expressions 3", + "title": "Adding and Subtracting Rational Expressions 3", + "duration": 276, + "youtube_id": "IKsi-DQU2zo", + "keywords": "U11_L1_T3_we3, Adding, and, Subtracting, Rational, Expressions, CC_39336_A-APR_7", + "path": "/math/trigonometry/polynomial_and_rational/rational_funcs_tutorial/v/adding-and-subtracting-rational-expressions-3/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/IKsi-DQU2zo.mp4/IKsi-DQU2zo.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/IKsi-DQU2zo.mp4/IKsi-DQU2zo.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IKsi-DQU2zo.m3u8/IKsi-DQU2zo.m3u8" + }, + "slug": "adding-and-subtracting-rational-expressions-3", + "readable_id": "adding-and-subtracting-rational-expressions-3" + }, + "adding-and-subtracting-rational-expressions-2": { + "kind": "Video", + "description": "U11_L1_T3_we2 Adding and Subtracting Rational Expressions 2", + "title": "Adding and Subtracting Rational Expressions 2", + "duration": 176, + "youtube_id": "3tmFTHOP6Pc", + "keywords": "U11_L1_T3_we2, Adding, and, Subtracting, Rational, Expressions, CC_39336_A-APR_7", + "path": "/math/trigonometry/polynomial_and_rational/rational_funcs_tutorial/v/adding-and-subtracting-rational-expressions-2/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3tmFTHOP6Pc.mp4/3tmFTHOP6Pc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/3tmFTHOP6Pc.mp4/3tmFTHOP6Pc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3tmFTHOP6Pc.m3u8/3tmFTHOP6Pc.m3u8" + }, + "slug": "adding-and-subtracting-rational-expressions-2", + "readable_id": "adding-and-subtracting-rational-expressions-2" + }, "le-chatelier-s-principle": { "kind": "Video", "description": "Le Chatelier's Principle regarding the \"stressing\" of reactions in equilibrium", @@ -38081,7 +45777,7 @@ "duration": 244, "youtube_id": "t2AeULH_Ijw", "keywords": "deflation, inflation, japan", - "path": "/finance-economics/macroeconomics/v/deflation-despite-increases-in-money-supply/", + "path": "/science/macroeconomics/inflation-topic/macroecon-deflation-tutorial/v/deflation-despite-increases-in-money-supply/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/t2AeULH_Ijw.mp4/t2AeULH_Ijw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/t2AeULH_Ijw.mp4/t2AeULH_Ijw.png", @@ -38113,7 +45809,7 @@ "duration": 654, "youtube_id": "u1HhUB3NP8g", "keywords": "Proof, (Part, 3), Minimizing, Squared, Error, to, Regression, Line, CC_8_SP_2, CC_8_SP_3", - "path": "/math/statistics/v/proof--part-3--minimizing-squared-error-to-regression-line/", + "path": "/math/probability/regression/regression-correlation/v/proof--part-3--minimizing-squared-error-to-regression-line/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/u1HhUB3NP8g.mp4/u1HhUB3NP8g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/u1HhUB3NP8g.mp4/u1HhUB3NP8g.png", @@ -38129,7 +45825,7 @@ "duration": 1128, "youtube_id": "nlUG4OKN1IY", "keywords": "laplace, transform, differential, equations", - "path": "/math/differential-equations/v/using-the-laplace-transform-to-solve-a-nonhomogenous-eq/", + "path": "/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation/v/using-the-laplace-transform-to-solve-a-nonhomogenous-eq/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/nlUG4OKN1IY.mp4/nlUG4OKN1IY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nlUG4OKN1IY.mp4/nlUG4OKN1IY.png", @@ -38145,7 +45841,7 @@ "duration": 719, "youtube_id": "N44RZtJ4jj4", "keywords": "macroeconomics", - "path": "/finance-economics/macroeconomics/v/generalized-linear-consumption-function/", + "path": "/science/macroeconomics/income-and-expenditure-topic/consumption-function/v/generalized-linear-consumption-function/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/N44RZtJ4jj4.mp4/N44RZtJ4jj4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N44RZtJ4jj4.mp4/N44RZtJ4jj4.png", @@ -38161,7 +45857,7 @@ "duration": 578, "youtube_id": "P3QV9ktuYlQ", "keywords": "potential, energy, spring, kinetic, hooke's, centripetal", - "path": "/science/physics/mechanics/v/spring-potential-energy-example--mistake-in-math/", + "path": "/science/physics/work-and-energy/hookes-law/v/spring-potential-energy-example--mistake-in-math/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/P3QV9ktuYlQ.mp4/P3QV9ktuYlQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P3QV9ktuYlQ.mp4/P3QV9ktuYlQ.png", @@ -38172,7 +45868,7 @@ }, "absolute-value-equations-example-1": { "kind": "Video", - "description": "u10_l3_t2_we1 Absolute Value Equations", + "description": "Absolute Value Equations", "title": "Absolute Value Equations Example 1", "duration": 203, "youtube_id": "LRlVWC0FMQc", @@ -38193,7 +45889,7 @@ "duration": 637, "youtube_id": "Mz2nDXElcoM", "keywords": "inclined, plane, ramp, force, friction", - "path": "/science/physics/mechanics/v/ice-accelerating-down-an-incline/", + "path": "/science/physics/forces-newtons-laws/inclined-planes-friction/v/ice-accelerating-down-an-incline/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Mz2nDXElcoM.mp4/Mz2nDXElcoM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Mz2nDXElcoM.mp4/Mz2nDXElcoM.png", @@ -38209,7 +45905,7 @@ "duration": 207, "youtube_id": "OrRDNKNHtlg", "keywords": "Option, Expiration, and, Price", - "path": "/finance-economics/core-finance/v/option-expiration-and-price/", + "path": "/science/core-finance/derivative-securities/put-call-options/v/option-expiration-and-price/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/OrRDNKNHtlg.mp4/OrRDNKNHtlg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OrRDNKNHtlg.mp4/OrRDNKNHtlg.png", @@ -38234,6 +45930,22 @@ "slug": "algebra-ii--logarithms-and-more", "readable_id": "algebra-ii--logarithms-and-more" }, + "conservation-of-energy": { + "kind": "Video", + "description": "Using the law of conservation of energy to see how potential energy is converted into kinetic energy", + "title": "Conservation of Energy", + "duration": 606, + "youtube_id": "kw_4Loo1HR4", + "keywords": "conservation, of, energy, kinetic, potential, physics, velocity", + "path": "/science/physics/work-and-energy/work-and-energy-tutorial/v/conservation-of-energy/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/kw_4Loo1HR4.mp4/kw_4Loo1HR4.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/kw_4Loo1HR4.mp4/kw_4Loo1HR4.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kw_4Loo1HR4.m3u8/kw_4Loo1HR4.m3u8" + }, + "slug": "conservation-of-energy", + "readable_id": "conservation-of-energy" + }, "spectrophotometry-introduction": { "kind": "Video", "description": "Spectrophotometry, Transmittance, Absorbance and the Beer-Lambert Law", @@ -38257,7 +45969,7 @@ "duration": 885, "youtube_id": "E9Q_Lc0g1xE", "keywords": "derivative, vector, valued, function", - "path": "/math/calculus/multivariable-calculus/v/derivative-of-a-position-vector-valued-function/", + "path": "/math/calculus/line_integrals_topic/position_vector_functions/v/derivative-of-a-position-vector-valued-function/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/E9Q_Lc0g1xE.mp4/E9Q_Lc0g1xE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E9Q_Lc0g1xE.mp4/E9Q_Lc0g1xE.png", @@ -38273,7 +45985,7 @@ "duration": 853, "youtube_id": "HpdMJaKaXXc", "keywords": "ratio, ratios, math", - "path": "/math/algebra/rational-expressions/v/introduction-to-ratios--new-hd-version/", + "path": "/math/arithmetic/rates-and-ratios/ratios_and_proportions/v/introduction-to-ratios--new-hd-version/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/HpdMJaKaXXc.mp4/HpdMJaKaXXc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HpdMJaKaXXc.mp4/HpdMJaKaXXc.png", @@ -38314,22 +46026,6 @@ "slug": "cuban-missile-crisis", "readable_id": "cuban-missile-crisis" }, - 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"path": "/math/calculus/differential-calculus/v/more-chain-rule-and-implicit-differentiation-intuition/", + "path": "/math/calculus/differential-calculus/implicit_differentiation/v/more-chain-rule-and-implicit-differentiation-intuition/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XHBkQW_XuA4.mp4/XHBkQW_XuA4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XHBkQW_XuA4.mp4/XHBkQW_XuA4.png", @@ -38353,7 +46049,7 @@ "duration": 357, "youtube_id": "IAbSeAk5RJU", "keywords": "calculus, trigonomometry, u-substituion, integration", - "path": "/math/calculus/integral-calculus/v/another-u-subsitution-example/", + "path": "/math/calculus/integral-calculus/u_substitution/v/another-u-subsitution-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/IAbSeAk5RJU.mp4/IAbSeAk5RJU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IAbSeAk5RJU.mp4/IAbSeAk5RJU.png", @@ -38385,7 +46081,7 @@ "duration": 588, "youtube_id": "NH1_sO8QY3o", "keywords": "physics", - 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"path": "/science/organic-chemistry/v/cyclic-ethers-and-epoxide-naming/", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-preparation-epoxides/v/cyclic-ethers-and-epoxide-naming/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5d63YMUxcS4.mp4/5d63YMUxcS4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5d63YMUxcS4.mp4/5d63YMUxcS4.png", @@ -38513,7 +46209,7 @@ "duration": 590, "youtube_id": "77-najNh4iY", "keywords": "calculus, integral, integration, khan", - "path": "/math/calculus/integral-calculus/v/indefinite-integration--part-iii/", + "path": "/math/calculus/integral-calculus/indefinite_integrals/v/indefinite-integration--part-iii/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/77-najNh4iY.mp4/77-najNh4iY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/77-najNh4iY.mp4/77-najNh4iY.png", @@ -38540,12 +46236,12 @@ }, "dividing-fractions-word-problem": { "kind": "Video", - "description": "U02_L2_T3_we5 Dividing Fractions Word Problem", + "description": "Dividing Fractions Word Problem", "title": "Dividing Fractions Word Problem", "duration": 128, "youtube_id": "PQsgXNggV7Q", "keywords": "U02_L2_T3_we5, Dividing, Fractions, Word, Problem", - 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"slug": "introduction-to-random-variables", - "readable_id": "introduction-to-random-variables" + "slug": "partial-derivatives-2", + "readable_id": "partial-derivatives-2" }, "perimeter-and-area-basics": { "kind": "Video", @@ -38609,7 +46305,7 @@ "duration": 505, "youtube_id": "LoaBd-sPzkU", "keywords": "Perimeter, and, Area, Basics", - "path": "/math/geometry/basic-geometry/v/perimeter-and-area-basics/", + "path": "/math/geometry/basic-geometry/perimeter_area_tutorial/v/perimeter-and-area-basics/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/LoaBd-sPzkU.mp4/LoaBd-sPzkU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/LoaBd-sPzkU.mp4/LoaBd-sPzkU.png", @@ -38657,7 +46353,7 @@ "duration": 501, "youtube_id": "S3z4XqC_YSc", "keywords": "lattice, multiplication, CC_3_OA_5, CC_3_OA_7, CC_4_NBT_5", - "path": "/math/arithmetic/multiplication-division/v/why-lattice-multiplication-works/", + "path": "/math/arithmetic/multiplication-division/lattice_multiplication/v/why-lattice-multiplication-works/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/S3z4XqC_YSc.mp4/S3z4XqC_YSc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S3z4XqC_YSc.mp4/S3z4XqC_YSc.png", @@ -38700,12 +46396,12 @@ }, "multiplying-decimals": { "kind": "Video", - "description": "U03_L2_T2_we1 Multiplying Decimals", + "description": "Multiplying Decimals", "title": "Multiplying Decimals", "duration": 172, "youtube_id": "JEHejQphIYc", "keywords": "U03_L2_T2_we1, Multiplying, Decimals, CC_5_NBT_7, CC_6_NS_3", - "path": "/math/arithmetic/decimals/v/multiplying-decimals/", + "path": "/math/arithmetic/decimals/multiplying_decimals/v/multiplying-decimals/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/JEHejQphIYc.mp4/JEHejQphIYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JEHejQphIYc.mp4/JEHejQphIYc.png", @@ -38721,7 +46417,7 @@ "duration": 278, "youtube_id": "_QTFeOvPcbY", "keywords": "rhombus, diagonals, perpendicular, bisectors, CC_3_G_1, CC_3_G_2, CC_5_G_3, CC_6_G_1", - "path": "/math/geometry/polygons-quads-parallelograms/v/rhombus-diagonals/", + "path": "/math/geometry/quadrilaterals-and-polygons/v/rhombus-diagonals/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_QTFeOvPcbY.mp4/_QTFeOvPcbY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_QTFeOvPcbY.mp4/_QTFeOvPcbY.png", @@ -38737,7 +46433,7 @@ "duration": 608, "youtube_id": "_9x2cqO7-Ig", "keywords": "vector, calculus, normal, tanget, unti", - "path": "/math/calculus/multivariable-calculus/v/constructing-a-unit-normal-vector-to-a-curve/", + "path": "/math/calculus/line_integrals_topic/2d_divergence_theorem/v/constructing-a-unit-normal-vector-to-a-curve/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_9x2cqO7-Ig.mp4/_9x2cqO7-Ig.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_9x2cqO7-Ig.mp4/_9x2cqO7-Ig.png", @@ -38769,7 +46465,7 @@ "duration": 871, "youtube_id": "ZJf9shWlMz0", "keywords": "parabola, focus, directrix, conic, section", - "path": "/math/algebra/conic-sections/v/parabola-focus-and-directrix-1/", + "path": "/math/trigonometry/conics_precalc/parabolas_precalc/v/parabola-focus-and-directrix-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZJf9shWlMz0.mp4/ZJf9shWlMz0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZJf9shWlMz0.mp4/ZJf9shWlMz0.png", @@ -38785,7 +46481,7 @@ "duration": 161, "youtube_id": "iyrOGvbSS2U", "keywords": "Exchange, futures, margin, spread", - "path": "/finance-economics/core-finance/v/motivation-for-the-futures-exchange/", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/motivation-for-the-futures-exchange/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/iyrOGvbSS2U.mp4/iyrOGvbSS2U.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iyrOGvbSS2U.mp4/iyrOGvbSS2U.png", @@ -38794,6 +46490,22 @@ "slug": "motivation-for-the-futures-exchange", "readable_id": "motivation-for-the-futures-exchange" }, + "nomenclature-and-preparation-of-epoxides": { + "kind": "Video", + "description": "", + "title": "nomenclature and preparation of epoxides", + "duration": 515, + "youtube_id": "zGO-MlsdmgU", + "keywords": "", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-preparation-epoxides/v/nomenclature-and-preparation-of-epoxides/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/zGO-MlsdmgU.mp4/zGO-MlsdmgU.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/zGO-MlsdmgU.mp4/zGO-MlsdmgU.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zGO-MlsdmgU.m3u8/zGO-MlsdmgU.m3u8" + }, + "slug": "nomenclature-and-preparation-of-epoxides", + "readable_id": "nomenclature-and-preparation-of-epoxides" + }, "combinations": { "kind": "Video", "description": "Introduction to combinations", @@ -38801,7 +46513,7 @@ "duration": 616, "youtube_id": "bCxMhncR7PU", "keywords": "combinations", - 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"path": "/finance-economics/greek-debt-crisis/v/how-and-why-greece-would-leave-the-euro--part-3/", + "path": "/science/core-finance/money-and-banking/greek-debt-crisis/v/how-and-why-greece-would-leave-the-euro--part-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jkmwAJMERrY.mp4/jkmwAJMERrY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jkmwAJMERrY.mp4/jkmwAJMERrY.png", @@ -39025,7 +46737,7 @@ "duration": 626, "youtube_id": "BHTMuHvmarU", "keywords": "payday, lending, loans", - "path": "/finance-economics/core-finance/v/payday-loans/", + "path": "/science/core-finance/interest-tutorial/credit-card-interest/v/payday-loans/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BHTMuHvmarU.mp4/BHTMuHvmarU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BHTMuHvmarU.mp4/BHTMuHvmarU.png", @@ -39036,12 +46748,12 @@ }, "plot-ordered-pairs": { "kind": "Video", - "description": "u13_l1_t1_we1 Plot ordered pairs", + "description": "Plot ordered pairs", "title": "Plot ordered pairs", "duration": 128, "youtube_id": "5ctsUsvIp8w", "keywords": "u13_l1_t1_we1, Plot, ordered, pairs", - 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"path": "/math/linear-algebra/v/linear-alg--projection-is-closest-vector-in-subspace/", + "path": "/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-alg--projection-is-closest-vector-in-subspace/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/b269qpILOpk.mp4/b269qpILOpk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b269qpILOpk.mp4/b269qpILOpk.png", @@ -40881,7 +48721,7 @@ "duration": 575, "youtube_id": "jQ-fS2lsslU", "keywords": "Functions, As, Graphs, CC_8_F_1, CC_39336_F-IF_7_b", - "path": "/math/algebra/ck12-algebra-1/v/functions-as-graphs/", + "path": "/math/trigonometry/functions_and_graphs/function_introduction/v/functions-as-graphs/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jQ-fS2lsslU.mp4/jQ-fS2lsslU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jQ-fS2lsslU.mp4/jQ-fS2lsslU.png", @@ -40897,7 +48737,7 @@ "duration": 74, "youtube_id": "EGr3KC55sfU", "keywords": "Converting, decimals, to, fractions, 2, ex, 1", - "path": "/math/arithmetic/decimals/v/converting-decimals-to-fractions-2--ex-1/", + "path": "/math/arithmetic/decimals/decimal_to_fraction/v/converting-decimals-to-fractions-2--ex-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/EGr3KC55sfU.mp4/EGr3KC55sfU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EGr3KC55sfU.mp4/EGr3KC55sfU.png", @@ -40913,7 +48753,7 @@ "duration": 601, "youtube_id": "QxIUeYAQRy0", "keywords": "Sn2, Stereochemistry", - "path": "/science/organic-chemistry/v/sn2-stereochemistry/", + "path": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/v/sn2-stereochemistry/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QxIUeYAQRy0.mp4/QxIUeYAQRy0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QxIUeYAQRy0.mp4/QxIUeYAQRy0.png", @@ -40924,12 +48764,12 @@ }, "perimeter-and-area-of-a-non-standard-polygon": { "kind": "Video", - "description": "u07_l2_t2_we3 Perimeter and Area of a Non-Standard Polygon", + "description": "Perimeter and Area of a Non-Standard Polygon", "title": "Perimeter and Area of a Non-Standard Polygon", "duration": 183, "youtube_id": "7S1MLJOG-5A", "keywords": "u07_l2_t2_we3, Perimeter, and, Area, of, Non-Standard, Polygon", - "path": "/math/geometry/basic-geometry/v/perimeter-and-area-of-a-non-standard-polygon/", + "path": "/math/geometry/basic-geometry/area_non_standard/v/perimeter-and-area-of-a-non-standard-polygon/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/7S1MLJOG-5A.mp4/7S1MLJOG-5A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/7S1MLJOG-5A.mp4/7S1MLJOG-5A.png", @@ -40988,7 +48828,7 @@ }, "variables-and-expressions-1": { "kind": "Video", - "description": "U09_L1_T1_we1 Variables and Expressions 1", + "description": "Variables and Expressions 1", "title": "Example: evaluating an expression", "duration": 120, "youtube_id": "AJNDeVt9UOo", @@ -41009,7 +48849,7 @@ "duration": 949, "youtube_id": "hxZ6uooEJOk", "keywords": "Confidence, Interval, of, Difference, Means, CC_7_SP_2, CC_7_SP_3, CC_7_SP_4", - "path": "/math/statistics/v/confidence-interval-of-difference-of-means/", + "path": "/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/confidence-interval-of-difference-of-means/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/hxZ6uooEJOk.mp4/hxZ6uooEJOk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hxZ6uooEJOk.mp4/hxZ6uooEJOk.png", @@ -41057,7 +48897,7 @@ "duration": 750, "youtube_id": "9DxrF6Ttws4", "keywords": "One, Step, Equations, CC_39336_A-REI_3", - "path": "/math/algebra/ck12-algebra-1/v/one-step-equations/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/one-step-equations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9DxrF6Ttws4.mp4/9DxrF6Ttws4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9DxrF6Ttws4.mp4/9DxrF6Ttws4.png", @@ -41082,6 +48922,22 @@ "slug": "dying-gaul--c--220-b-c-e", "readable_id": "dying-gaul--c--220-b-c-e" }, + "stabilization-of-conjugate-base-iii--induction-and-orbital-effects": { + "kind": "Video", + "description": "", + "title": "stabilization of conjugate base III: induction and orbital effects", + "duration": 849, + "youtube_id": "4o3a7H32b4k", + "keywords": "", + "path": "/science/organic-chemistry/gen-chem-review/acid-base-review/v/stabilization-of-conjugate-base-iii--induction-and-orbital-effects/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4o3a7H32b4k.mp4/4o3a7H32b4k.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/4o3a7H32b4k.mp4/4o3a7H32b4k.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4o3a7H32b4k.m3u8/4o3a7H32b4k.m3u8" + }, + "slug": "stabilization-of-conjugate-base-iii--induction-and-orbital-effects", + "readable_id": "stabilization-of-conjugate-base-iii--induction-and-orbital-effects" + }, "correlation-and-causality": { "kind": "Video", "description": "Understanding why correlation does not imply causality (even though many in the press and some researchers often imply otherwise)", @@ -41089,7 +48945,7 @@ "duration": 645, "youtube_id": "ROpbdO-gRUo", "keywords": "statistic, health, nutrition", - "path": "/math/statistics/v/correlation-and-causality/", + "path": "/math/probability/regression/regression-correlation/v/correlation-and-causality/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ROpbdO-gRUo.mp4/ROpbdO-gRUo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ROpbdO-gRUo.mp4/ROpbdO-gRUo.png", @@ -41105,7 +48961,7 @@ "duration": 665, "youtube_id": "E_Hwhp74Rhc", "keywords": "vector, calculus, surface, integral", - "path": "/math/calculus/multivariable-calculus/v/surface-integral-example-part-1---parameterizing-the-unit-sphere/", + "path": "/math/calculus/multivariable-calculus/surface_integrals/v/surface-integral-example-part-1---parameterizing-the-unit-sphere/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/E_Hwhp74Rhc.mp4/E_Hwhp74Rhc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E_Hwhp74Rhc.mp4/E_Hwhp74Rhc.png", @@ -41114,21 +48970,21 @@ "slug": "surface-integral-example-part-1---parameterizing-the-unit-sphere", "readable_id": "surface-integral-example-part-1---parameterizing-the-unit-sphere" }, - "bouncing-droplets--superhydrophobic-and-superhydrophilic-surfaces": { + "forward-contract-introduction": { "kind": "Video", - "description": "This video introduces the concept of surface tension, and shows how roughness can make a surface superhydrophobic or superhydrophilic. The Wenzel and Cassie-Baxter models are explained. Special thanks to the MIT BioInstrumentation Lab.", - "title": "Bouncing Droplets: Superhydrophobic and Superhydrophilic Surfaces", - "duration": 497, - "youtube_id": "PPJ0Khs7uWs", - "keywords": "Chemistry, Engineering, MIT, M.I.T., K-12 (education), teaching, learning, demo*, science", - "path": "/science/mit-k12/v/bouncing-droplets--superhydrophobic-and-superhydrophilic-surfaces/", + "description": "Forward Contract Introduction", + "title": "Forward Contract Introduction", + "duration": 191, + "youtube_id": "H9UEZdAnnt8", + "keywords": "Forward, Contract, Introduction", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/forward-contract-introduction/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PPJ0Khs7uWs.mp4/PPJ0Khs7uWs.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/PPJ0Khs7uWs.mp4/PPJ0Khs7uWs.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PPJ0Khs7uWs.m3u8/PPJ0Khs7uWs.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/H9UEZdAnnt8.mp4/H9UEZdAnnt8.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/H9UEZdAnnt8.mp4/H9UEZdAnnt8.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/H9UEZdAnnt8.m3u8/H9UEZdAnnt8.m3u8" }, - "slug": "bouncing-droplets--superhydrophobic-and-superhydrophilic-surfaces", - "readable_id": "bouncing-droplets--superhydrophobic-and-superhydrophilic-surfaces" + "slug": "forward-contract-introduction", + "readable_id": "forward-contract-introduction" }, "human-prehistory-101--prologue": { "kind": "Video", @@ -41162,6 +49018,22 @@ "slug": "oxidative-phosphorylation-and-chemiosmosis", "readable_id": "oxidative-phosphorylation-and-chemiosmosis" }, + "formal-charge-ii": { + "kind": "Video", + "description": "", + "title": "formal charge II", + "duration": 658, + "youtube_id": "wXIhWqunQgc", + "keywords": "", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/formal-charge-resonance/v/formal-charge-ii/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wXIhWqunQgc.mp4/wXIhWqunQgc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/wXIhWqunQgc.mp4/wXIhWqunQgc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wXIhWqunQgc.m3u8/wXIhWqunQgc.m3u8" + }, + "slug": "formal-charge-ii", + "readable_id": "formal-charge-ii" + }, "rent-control-and-deadweight-loss": { "kind": "Video", "description": "How instituting a price ceiling lower than the equilibrium price reduces the total surplus (dead weight loss)", @@ -41169,7 +49041,7 @@ "duration": 687, "youtube_id": "ZrNKHCCVfB8", "keywords": "microeconomics, dead, weight, loss, price, ceiling, rent, control", - "path": "/finance-economics/microeconomics/v/rent-control-and-deadweight-loss/", + "path": "/science/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/rent-control-and-deadweight-loss/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZrNKHCCVfB8.mp4/ZrNKHCCVfB8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZrNKHCCVfB8.mp4/ZrNKHCCVfB8.png", @@ -41185,7 +49057,7 @@ "duration": 647, "youtube_id": "vZOk8NnjILg", "keywords": "gravity, tension, friction", - "path": "/science/physics/mechanics/v/centripetal-force-and-acceleration-intuition/", + "path": "/science/physics/two-dimensional-motion/centripetal-acceleration-tutoria/v/centripetal-force-and-acceleration-intuition/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/vZOk8NnjILg.mp4/vZOk8NnjILg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vZOk8NnjILg.mp4/vZOk8NnjILg.png", @@ -41194,21 +49066,21 @@ "slug": "centripetal-force-and-acceleration-intuition", "readable_id": "centripetal-force-and-acceleration-intuition" }, - "angle-game--part-2": { + "three-points-defining-a-circle": { "kind": "Video", - "description": "More examples of the Angle Game.", - "title": "Angle Game (part 2)", - "duration": 589, - "youtube_id": "ko-cYG3d6ec", - "keywords": "geometry, angles, complementary, triangle, supplementary, math, CC_7_G_5, CC_8_G_5", - "path": "/math/geometry/angles/v/angle-game--part-2/", + "description": "Three points uniquely define a circle. The center of a circle is the circumcenter of any triangle the circle is circumscribed about.", + "title": "Three Points Defining a Circle", + "duration": 608, + "youtube_id": "4_xhiP6g2ow", + "keywords": "Three, Points, Defining, Circle", + "path": "/math/geometry/triangle-properties/perpendicular_bisectors/v/three-points-defining-a-circle/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ko-cYG3d6ec.mp4/ko-cYG3d6ec.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/ko-cYG3d6ec.mp4/ko-cYG3d6ec.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ko-cYG3d6ec.m3u8/ko-cYG3d6ec.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4_xhiP6g2ow.mp4/4_xhiP6g2ow.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/4_xhiP6g2ow.mp4/4_xhiP6g2ow.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4_xhiP6g2ow.m3u8/4_xhiP6g2ow.m3u8" }, - "slug": "angle-game--part-2", - "readable_id": "angle-game--part-2" + "slug": "three-points-defining-a-circle", + "readable_id": "three-points-defining-a-circle" }, "empirical-and-molecular-formulas-from-stoichiometry": { "kind": "Video", @@ -41258,21 +49130,21 @@ "slug": "ca-geometry--basic-trigonometry", "readable_id": "ca-geometry--basic-trigonometry" }, - "charles-willson-peale--staircase-group--portrait-of-raphaelle-peale-and-titian-ramsay-peale---1795": { + "build-your-own-motor": { "kind": "Video", - "description": "Charles Willson Peale, Staircase Group (Portrait of Raphaelle Peale and Titian Ramsay Peale), 1795, oil on canvas, 89-1/2 x 39-3/8 inches / 227.3 x 100 cm (Philadelphia Museum of Art). 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"description": "U02_L3_T2_we4 Subtracting Mixed Numbers Word Problem", + "description": "Subtracting Mixed Numbers Word Problem", "title": "Subtracting Mixed Numbers Word Problem", "duration": 281, "youtube_id": "tj9oLZYA-AQ", "keywords": "U02_L3_T2_we4, Subtracting, Mixed, Numbers, Word, Problem, CC_4_NF_3_c, CC_5_NF_1", - "path": "/math/arithmetic/fractions/v/subtracting-mixed-numbers-word-problem/", + "path": "/math/arithmetic/fractions/Mixed_number_add_sub/v/subtracting-mixed-numbers-word-problem/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tj9oLZYA-AQ.mp4/tj9oLZYA-AQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tj9oLZYA-AQ.mp4/tj9oLZYA-AQ.png", @@ -41313,7 +49185,7 @@ "duration": 850, "youtube_id": "MT4akJsAmb0", "keywords": "productive, allocative, efficiency, marginal, cost, benefit", - "path": "/finance-economics/microeconomics/v/allocative-efficiency-and-marginal-benefit/", + "path": "/science/microeconomics/choices-opp-cost-tutorial/production-possibilities/v/allocative-efficiency-and-marginal-benefit/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MT4akJsAmb0.mp4/MT4akJsAmb0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MT4akJsAmb0.mp4/MT4akJsAmb0.png", @@ -41329,7 +49201,7 @@ "duration": 205, "youtube_id": "dN5XRW7T0cc", "keywords": "", - "path": "/humanities/art-history/art-history-400-1300-medieval-era/v/part-2--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220/", + "path": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/v/part-2--cathedral-of-notre-dame-de-chartres--c-1145-and-1194-c-1220/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dN5XRW7T0cc.mp4/dN5XRW7T0cc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dN5XRW7T0cc.mp4/dN5XRW7T0cc.png", @@ -41345,7 +49217,7 @@ "duration": 553, "youtube_id": "9hryH94KFJA", "keywords": "Equations, of, Parallel, and, Perpendicular, Lines", - "path": "/math/algebra/ck12-algebra-1/v/equations-of-parallel-and-perpendicular-lines/", + "path": "/math/trigonometry/graphs/parallel_perpendicular/v/equations-of-parallel-and-perpendicular-lines/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9hryH94KFJA.mp4/9hryH94KFJA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9hryH94KFJA.mp4/9hryH94KFJA.png", @@ -41354,22 +49226,6 @@ "slug": "equations-of-parallel-and-perpendicular-lines", "readable_id": "equations-of-parallel-and-perpendicular-lines" }, - 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"path": "/science/physics/mechanics/v/introduction-to-newton-s-law-of-gravitation/", + "path": "/science/physics/newton-gravitation/gravity-newtonian/v/introduction-to-newton-s-law-of-gravitation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/391txUI76gM.mp4/391txUI76gM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/391txUI76gM.mp4/391txUI76gM.png", @@ -41532,12 +49388,12 @@ }, "number-sets-1": { "kind": "Video", - "description": "U12_L1_T1_we1 Number Sets 1", + "description": "Number Sets 1", "title": "Number Sets 1", "duration": 377, "youtube_id": "aqsIWLqlDhE", "keywords": "U12_L1_T1_we1, Number, Sets, CC_6_NS_6, CC_6_NS_6_c, CC_8_NS_1", - "path": "/math/algebra/complex-numbers/v/number-sets-1/", + "path": "/math/arithmetic/fractions/number_sets/v/number-sets-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/aqsIWLqlDhE.mp4/aqsIWLqlDhE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aqsIWLqlDhE.mp4/aqsIWLqlDhE.png", @@ -41548,12 +49404,12 @@ }, "subtracting-whole-numbers": { "kind": "Video", - "description": "u01_l2_t2_we1 Subtracting Whole Numbers", - "title": "Subtracting Whole Numbers", + "description": "Subtracting Whole Numbers", + "title": "Example: 2-digit subtraction (no borrowing)", "duration": 174, "youtube_id": "sAw71J2kYJE", "keywords": "u01_l2_t2_we1, Subtracting, Whole, Numbers", - "path": "/math/arithmetic/addition-subtraction/v/subtracting-whole-numbers/", + "path": "/math/arithmetic/addition-subtraction/two_dig_add_sub/v/subtracting-whole-numbers/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/sAw71J2kYJE.mp4/sAw71J2kYJE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sAw71J2kYJE.mp4/sAw71J2kYJE.png", @@ -41564,12 +49420,12 @@ }, "number-sets-2": { "kind": "Video", - "description": "U12_L1_T1_we2 Number Sets 2", + "description": "Number Sets 2", "title": "Number Sets 2", "duration": 412, "youtube_id": "qfQv8GzyjB4", "keywords": "U12_L1_T1_we2, Number, Sets, CC_6_NS_6, CC_6_NS_6_c", - "path": "/math/algebra/complex-numbers/v/number-sets-2/", + "path": "/math/arithmetic/fractions/number_sets/v/number-sets-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qfQv8GzyjB4.mp4/qfQv8GzyjB4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qfQv8GzyjB4.mp4/qfQv8GzyjB4.png", @@ -41594,21 +49450,21 @@ "slug": "what-is-computer-memory---prime-adventure-part-7", "readable_id": "what-is-computer-memory---prime-adventure-part-7" }, - 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"slug": "linear-subspaces", - "readable_id": "linear-subspaces" + "slug": "derivative-intuition-module", + "readable_id": "derivative-intuition-module" }, "ca-geometry--similar-triangles-1": { "kind": "Video", @@ -41628,12 +49484,12 @@ }, "place-value-2": { "kind": "Video", - "description": "U01_L1_T1_we2 Place Value 2", + "description": "Place Value 2", "title": "Place Value 2", "duration": 249, "youtube_id": "wd4cRAoBOiE", "keywords": "U01_L1_T1_we2, Place, Value", - "path": "/math/arithmetic/multiplication-division/v/place-value-2/", + "path": "/math/arithmetic/multiplication-division/place_value/v/place-value-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wd4cRAoBOiE.mp4/wd4cRAoBOiE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wd4cRAoBOiE.mp4/wd4cRAoBOiE.png", @@ -41644,12 +49500,12 @@ }, "place-value-1": { "kind": "Video", - "description": "U01_L1_T1_we1 Place Value 1", + "description": "Place Value 1", "title": "Place Value 1", "duration": 145, "youtube_id": "jxA8MffVmPs", "keywords": "U01_L1_T1_we1, Place, Value, CC_2_NBT_6", - "path": "/math/arithmetic/multiplication-division/v/place-value-1/", + "path": "/math/arithmetic/multiplication-division/place_value/v/place-value-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jxA8MffVmPs.mp4/jxA8MffVmPs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/jxA8MffVmPs.mp4/jxA8MffVmPs.png", @@ -41681,7 +49537,7 @@ "duration": 515, "youtube_id": "Nhn-anmubYU", "keywords": "algebra, slope, y-intercept, CC_8_EE_6, CC_39336_F-BF_3", - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-a-line/v/algebra--slope-and-y-intercept-intuition/", + "path": "/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/v/algebra--slope-and-y-intercept-intuition/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nhn-anmubYU.mp4/Nhn-anmubYU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nhn-anmubYU.mp4/Nhn-anmubYU.png", @@ -41692,12 +49548,12 @@ }, "subtracting-mixed-numbers-2": { "kind": "Video", - "description": "U02_L3_T2_we3 Subtracting Mixed Numbers 2", + "description": "Subtracting Mixed Numbers 2", "title": "Subtracting Mixed Numbers 2", "duration": 294, "youtube_id": "4LYtLMmDuzw", "keywords": "U02_L3_T2_we3, Subtracting, Mixed, Numbers, CC_4_NF_3_c, CC_5_NF_1", - "path": "/math/arithmetic/fractions/v/subtracting-mixed-numbers-2/", + "path": "/math/arithmetic/fractions/Mixed_number_add_sub/v/subtracting-mixed-numbers-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4LYtLMmDuzw.mp4/4LYtLMmDuzw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4LYtLMmDuzw.mp4/4LYtLMmDuzw.png", @@ -41724,12 +49580,12 @@ }, "special-products-of-polynomials-1": { "kind": "Video", - "description": "U08_L2_T4_we1 Special Products of Polynomials 1", + "description": "Special Products of Polynomials 1", "title": "Special Products of Polynomials 1", "duration": 199, "youtube_id": "4GcNzvILqtM", "keywords": "U08_L2_T4_we1, Special, Products, of, Polynomials, CC_39336_A-APR_1", - 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Finding the curl of our vector field.", + "title": "Stokes' Theorem Proof Part 1", + "duration": 314, + "youtube_id": "qIBqvr5_QqQ", + "keywords": "", + "path": "/math/calculus/multivariable-calculus/stokes_proof/v/stokes--theorem-proof-part-1/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qIBqvr5_QqQ.mp4/qIBqvr5_QqQ.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/qIBqvr5_QqQ.mp4/qIBqvr5_QqQ.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qIBqvr5_QqQ.m3u8/qIBqvr5_QqQ.m3u8" + }, + "slug": "stokes--theorem-proof-part-1", + "readable_id": "stokes--theorem-proof-part-1" }, "algebra-ii--simplifying-polynomials": { "kind": "Video", @@ -41789,11 +49661,11 @@ "systems-of-equations": { "kind": "Video", "description": "systems of equations", - "title": "systems of equations", + "title": "Old video on systems of equations", "duration": 597, "youtube_id": "nok99JOhcjo", "keywords": "Algebra, systems, of, equations, CC_8_EE_8, CC_8_EE_8_a, CC_39336_A-REI_5, CC_39336_A-REI_6", - 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"description": "U01_L4_T1_we3 Commutative Law of Addition", + "description": "Commutative Law of Addition", "title": "Commutative Law of Addition", "duration": 100, "youtube_id": "HwSszh3L358", "keywords": "U01_L4_T1_we3, Commutative, Law, of, Addition, CC_1_OA_3", - "path": "/math/arithmetic/number-properties/v/commutative-law-of-addition/", + "path": "/math/arithmetic/order-of-operations/arithmetic_properties/v/commutative-law-of-addition/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/HwSszh3L358.mp4/HwSszh3L358.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HwSszh3L358.mp4/HwSszh3L358.png", @@ -42225,7 +50129,7 @@ "duration": 541, "youtube_id": "VJgVdzicv_I", "keywords": "Simple, Fractional, Reserve, Accounting, part, 1", - "path": "/finance-economics/macroeconomics/v/simple-fractional-reserve-accounting-part-1/", + "path": "/science/macroeconomics/monetary-system-topic/factional-reserve-accounting/v/simple-fractional-reserve-accounting-part-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VJgVdzicv_I.mp4/VJgVdzicv_I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VJgVdzicv_I.mp4/VJgVdzicv_I.png", @@ -42241,7 +50145,7 @@ "duration": 210, "youtube_id": "yahEP620480", "keywords": "inflation, consumer, price, index, cpi, finance, economics", - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "People and plants", + "duration": 570, + "youtube_id": "lzWUG4H5QBo", + "keywords": "", + "path": "/science/healthcare-and-medicine/the-lungs/v/people-and-plants/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/RkIM0Mbc8YQ.mp4/RkIM0Mbc8YQ.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/RkIM0Mbc8YQ.mp4/RkIM0Mbc8YQ.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RkIM0Mbc8YQ.m3u8/RkIM0Mbc8YQ.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lzWUG4H5QBo.mp4/lzWUG4H5QBo.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/lzWUG4H5QBo.mp4/lzWUG4H5QBo.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lzWUG4H5QBo.m3u8/lzWUG4H5QBo.m3u8" }, - "slug": "bailout-11--why-these-cdos-could-be-worth-nothing", - "readable_id": "bailout-11--why-these-cdos-could-be-worth-nothing" + "slug": "people-and-plants", + "readable_id": "people-and-plants" }, - "sat-prep--test-4-section-2-part-6": { + "equalizing-marginal-utility-per-dollar-spent": { "kind": "Video", - "description": "Problems 19-20 on page 587", - "title": "SAT Prep: Test 4 Section 2 Part 6", + "description": "Why the marginal utility for dollar spent should be theoritically equal for the last increment of either good purchased", + "title": "Equalizing Marginal Utility per Dollar Spent", "duration": 462, - "youtube_id": "bKzw0C-Sh7A", - "keywords": "SAT, Prep, mathematics, math, khan, academy", - "path": "/test-prep/sat-math/v/sat-prep--test-4-section-2-part-6/", + "youtube_id": "KbW6OiuRa1Y", + "keywords": "microeconomics", + "path": "/science/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/v/equalizing-marginal-utility-per-dollar-spent/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/bKzw0C-Sh7A.mp4/bKzw0C-Sh7A.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/bKzw0C-Sh7A.mp4/bKzw0C-Sh7A.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bKzw0C-Sh7A.m3u8/bKzw0C-Sh7A.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/KbW6OiuRa1Y.mp4/KbW6OiuRa1Y.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/KbW6OiuRa1Y.mp4/KbW6OiuRa1Y.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KbW6OiuRa1Y.m3u8/KbW6OiuRa1Y.m3u8" }, - "slug": "sat-prep--test-4-section-2-part-6", - "readable_id": "sat-prep--test-4-section-2-part-6" + "slug": "equalizing-marginal-utility-per-dollar-spent", + "readable_id": "equalizing-marginal-utility-per-dollar-spent" }, "vapor-pressure-example": { "kind": "Video", @@ -42394,6 +50298,22 @@ "slug": "sir-edward-burne-jones--hope--1896", "readable_id": "sir-edward-burne-jones--hope--1896" }, + "oxidation-states-i": { + "kind": "Video", + "description": "", + "title": "oxidation states I", + "duration": 778, + "youtube_id": "1C4ETKeTMq8", + "keywords": "", + "path": "/science/organic-chemistry/gen-chem-review/oxidation-reduction-review/v/oxidation-states-i/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1C4ETKeTMq8.mp4/1C4ETKeTMq8.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/1C4ETKeTMq8.mp4/1C4ETKeTMq8.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/1C4ETKeTMq8.m3u8/1C4ETKeTMq8.m3u8" + }, + "slug": "oxidation-states-i", + "readable_id": "oxidation-states-i" + }, "c-4-photosynthesis": { "kind": "Video", "description": "C-4 Photosynthesis: How some plants avoid photorespiration", @@ -42497,7 +50417,7 @@ "duration": 686, "youtube_id": "ZUEjRYe7MRk", "keywords": "bailout, fed, treasury, insolvency, credit, crunch", - "path": "/finance-economics/paulson-bailout/v/bailout-1--liquidity-vs--solvency/", + "path": "/science/core-finance/money-and-banking/bank-bailout/v/bailout-1--liquidity-vs--solvency/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZUEjRYe7MRk.mp4/ZUEjRYe7MRk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZUEjRYe7MRk.mp4/ZUEjRYe7MRk.png", @@ -42506,21 +50426,21 @@ "slug": "bailout-1--liquidity-vs--solvency", "readable_id": "bailout-1--liquidity-vs--solvency" }, - "action-potentials-in-pacemaker-cells": { + "return-on-capital": { "kind": "Video", - "description": "Find out how the pacemaker cells use the movement of sodium, calcium, and potassium to get your heart beating! 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Using these concepts to decide where to invest.", + "title": "Return on capital", + "duration": 588, + "youtube_id": "9T6ZPYYu_Dk", + "keywords": "finance, ROC, ROIC", + "path": "/science/core-finance/housing/investment-consumption/v/return-on-capital/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/OQpFFiLdE0E.mp4/OQpFFiLdE0E.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/OQpFFiLdE0E.mp4/OQpFFiLdE0E.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OQpFFiLdE0E.m3u8/OQpFFiLdE0E.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9T6ZPYYu_Dk.mp4/9T6ZPYYu_Dk.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/9T6ZPYYu_Dk.mp4/9T6ZPYYu_Dk.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9T6ZPYYu_Dk.m3u8/9T6ZPYYu_Dk.m3u8" }, - "slug": "action-potentials-in-pacemaker-cells", - "readable_id": "action-potentials-in-pacemaker-cells" + "slug": "return-on-capital", + "readable_id": "return-on-capital" }, "mass-and-weight-clarification": { "kind": "Video", @@ -42529,7 +50449,7 @@ "duration": 641, "youtube_id": "IuBoeDihLUc", "keywords": "physics, mass, weight, slug, pound, kilogram, newton", - 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"path": "/science/cosmology-and-astronomy/v/why-s-waves-only-travel-in-solids/", + "path": "/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial/v/why-s-waves-only-travel-in-solids/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BTWLwoaNeBA.mp4/BTWLwoaNeBA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BTWLwoaNeBA.mp4/BTWLwoaNeBA.png", @@ -42698,10 +50618,26 @@ "slug": "why-s-waves-only-travel-in-solids", "readable_id": "why-s-waves-only-travel-in-solids" }, + "gmat-math--1": { + "kind": "Video", + "description": "1-6, pg. 152", + "title": "GMAT Math: 1", + "duration": 593, + "youtube_id": "jciijU8Mj_Y", + "keywords": "GMAT, math, problem, solving", + "path": "/test-prep/gmat/problem-solving/v/gmat-math--1/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jciijU8Mj_Y.mp4/jciijU8Mj_Y.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/jciijU8Mj_Y.mp4/jciijU8Mj_Y.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jciijU8Mj_Y.m3u8/jciijU8Mj_Y.m3u8" + }, + "slug": "gmat-math--1", + "readable_id": "gmat-math--1" + }, "u02-l2-t2-we1-absolute-value-equations-avi": { "kind": "Video", - 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"path": "/finance-economics/core-finance/v/annual-percentage-rate--apr--and-effective-apr/", + "path": "/science/core-finance/interest-tutorial/credit-card-interest/v/annual-percentage-rate--apr--and-effective-apr/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/P4h4QenI-uU.mp4/P4h4QenI-uU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/P4h4QenI-uU.mp4/P4h4QenI-uU.png", @@ -42753,7 +50689,7 @@ "duration": 635, "youtube_id": "36Rym2q4H94", "keywords": "physics, weight, mass, gravity, acceleration", - "path": "/science/physics/mechanics/v/would-a-brick-or-feather-fall-faster/", + "path": "/science/physics/newton-gravitation/gravity-newtonian/v/would-a-brick-or-feather-fall-faster/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/36Rym2q4H94.mp4/36Rym2q4H94.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/36Rym2q4H94.mp4/36Rym2q4H94.png", @@ -42785,7 +50721,7 @@ "duration": 202, "youtube_id": "R_-V6usZJsc", "keywords": "Chinese, inflation", - "path": "/finance-economics/current-economics/v/chinese-inflation/", + "path": "/science/core-finance/money-and-banking/china-us-debt-situation/v/chinese-inflation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/R_-V6usZJsc.mp4/R_-V6usZJsc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R_-V6usZJsc.mp4/R_-V6usZJsc.png", @@ -42812,7 +50748,7 @@ }, "radical-equivalent-to-rational-exponents": { "kind": "Video", - "description": "u16_l1_t3_we1 Radical Equivalent to Rational Exponents", + "description": "Radical Equivalent to Rational Exponents", "title": "Radical Equivalent to Rational Exponents", "duration": 177, "youtube_id": "jO4wOQQiVZg", @@ -42826,21 +50762,21 @@ "slug": "radical-equivalent-to-rational-exponents", "readable_id": "radical-equivalent-to-rational-exponents" }, - "grant-wood--american-gothic--1930": { + "rosetta-stone--196-b-c-e": { "kind": "Video", - "description": "Grant Wood, American Gothic, 1930, oil on beaver board, 78 x 65.3 cm / 30-3/4 x 25-3/4 inches (The Art Institute of Chicago)", - 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(British Museum, London)Speakers: Dr. Beth Harris and Dr. Steven Zucker", + "title": "Rosetta Stone", + "duration": 236, + "youtube_id": "OFXY9-pec1I", + "keywords": "rosetta stone, egypt, napoleon, smarthistory, art history, hieroglyphics, translation", + "path": "/humanities/art-history/art-history-400-c-e--ancient-cultures/v/rosetta-stone--196-b-c-e/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/vk2GvyNmYD0.mp4/vk2GvyNmYD0.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/vk2GvyNmYD0.mp4/vk2GvyNmYD0.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vk2GvyNmYD0.m3u8/vk2GvyNmYD0.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/OFXY9-pec1I.mp4/OFXY9-pec1I.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/OFXY9-pec1I.mp4/OFXY9-pec1I.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OFXY9-pec1I.m3u8/OFXY9-pec1I.m3u8" }, - "slug": "grant-wood--american-gothic--1930", - "readable_id": "grant-wood--american-gothic--1930" + "slug": "rosetta-stone--196-b-c-e", + "readable_id": "rosetta-stone--196-b-c-e" }, "marginal-revenue-below-average-total-cost": { "kind": "Video", @@ -42849,7 +50785,7 @@ "duration": 355, "youtube_id": "ni0TL4pXG5w", "keywords": "microeconomics, marginal, revenue, cost", - "path": "/finance-economics/microeconomics/v/marginal-revenue-below-average-total-cost/", + "path": "/science/microeconomics/firm-economic-profit/average-costs-margin-rev/v/marginal-revenue-below-average-total-cost/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ni0TL4pXG5w.mp4/ni0TL4pXG5w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ni0TL4pXG5w.mp4/ni0TL4pXG5w.png", @@ -42897,7 +50833,7 @@ "duration": 1328, "youtube_id": "QOTjdgmNqlg", "keywords": "orthogonal, complement", - "path": "/math/linear-algebra/v/linear-algebra--orthogonal-complements/", + "path": "/math/linear-algebra/alternate_bases/othogonal_complements/v/linear-algebra--orthogonal-complements/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QOTjdgmNqlg.mp4/QOTjdgmNqlg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QOTjdgmNqlg.mp4/QOTjdgmNqlg.png", @@ -42908,12 +50844,12 @@ }, "ratios-as-fractions-in-simplest-form": { "kind": "Video", - "description": "U04_L1_T1_we1 Ratios as Fractions in Simplest Form", + "description": "Ratios as Fractions in Simplest Form", "title": "Ratios as Fractions in Simplest Form", "duration": 79, "youtube_id": "JWmCiZwoyMs", "keywords": "U04_L1_T1_we1, Ratios, as, Fractions, in, Simplest, Form, CC_6_RP_1", - "path": "/math/algebra/rational-expressions/v/ratios-as-fractions-in-simplest-form/", + "path": "/math/arithmetic/rates-and-ratios/ratios_and_proportions/v/ratios-as-fractions-in-simplest-form/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/JWmCiZwoyMs.mp4/JWmCiZwoyMs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JWmCiZwoyMs.mp4/JWmCiZwoyMs.png", @@ -42924,12 +50860,12 @@ }, "dividing-decimals-2-1": { "kind": "Video", - "description": "U03_L2_T2_we4.1 Dividing Decimals 2.1", + "description": ".1 Dividing Decimals 2.1", "title": "Dividing Decimals 2.1", "duration": 111, "youtube_id": "HLGCq2h4ihY", "keywords": "U03_L2_T2_we4.1, Dividing, Decimals, 2.1, CC_5_NBT_7, CC_6_NS_3", - "path": "/math/arithmetic/decimals/v/dividing-decimals-2-1/", + "path": "/math/arithmetic/decimals/dividing_decimals/v/dividing-decimals-2-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/HLGCq2h4ihY.mp4/HLGCq2h4ihY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HLGCq2h4ihY.mp4/HLGCq2h4ihY.png", @@ -42961,7 +50897,7 @@ "duration": 247, "youtube_id": "hKkBlcnU9pw", "keywords": "finance, education, absolute, values", - "path": "/math/arithmetic/absolute-value/v/comparing-absolute-values/", + "path": "/math/arithmetic/absolute-value/abs_value_tutorial/v/comparing-absolute-values/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/hKkBlcnU9pw.mp4/hKkBlcnU9pw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hKkBlcnU9pw.mp4/hKkBlcnU9pw.png", @@ -42977,7 +50913,7 @@ "duration": 626, "youtube_id": "nYFuxTXDj90", "keywords": "life, photosynthesis, prokaryote, eukaryote, arhchean, hades, hadean, eon", - "path": "/science/cosmology-and-astronomy/v/beginnings-of-life/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/beginnings-of-life/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/nYFuxTXDj90.mp4/nYFuxTXDj90.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nYFuxTXDj90.mp4/nYFuxTXDj90.png", @@ -43009,7 +50945,7 @@ "duration": 354, "youtube_id": "8sz1IPjBRS8", "keywords": "slope, y-intercept, graph", - 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"slug": "subtraction-2", - "readable_id": "subtraction-2" + "slug": "indefinite-integrals--part-ii", + "readable_id": "indefinite-integrals--part-ii" }, "using-multiple-logarithm-properties-to-simplify": { "kind": "Video", - "description": "u18_l2_t2_we4 Using Multiple Logarithm Properties to Simplify", + "description": "Using Multiple Logarithm Properties to Simplify", "title": "Using Multiple Logarithm Properties to Simplify", "duration": 130, "youtube_id": "RhzXX5PbsuQ", "keywords": "u18_l2_t2_we4, Using, Multiple, Logarithm, Properties, to, Simplify", - "path": "/math/algebra/logarithms-tutorial/v/using-multiple-logarithm-properties-to-simplify/", + "path": "/math/algebra/logarithms-tutorial/logarithm_properties/v/using-multiple-logarithm-properties-to-simplify/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/RhzXX5PbsuQ.mp4/RhzXX5PbsuQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RhzXX5PbsuQ.mp4/RhzXX5PbsuQ.png", @@ -43242,21 +51194,21 @@ "slug": "using-multiple-logarithm-properties-to-simplify", "readable_id": "using-multiple-logarithm-properties-to-simplify" }, - 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"path": "/math/calculus/multivariable-calculus/v/double-integrals-3/", + "path": "/math/calculus/double_triple_integrals/double_integrals/v/double-integrals-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/z8BM6cHifPA.mp4/z8BM6cHifPA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/z8BM6cHifPA.mp4/z8BM6cHifPA.png", @@ -43313,7 +51265,7 @@ "duration": 459, "youtube_id": "73eSiVcg4tQ", "keywords": "vector, AP", - "path": "/math/calculus/integral-calculus/v/2011-calculus-bc-free-response--1--b---c/", + "path": "/math/calculus/ap_calc_topic/bc_sample_questions/v/2011-calculus-bc-free-response--1--b---c/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/73eSiVcg4tQ.mp4/73eSiVcg4tQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/73eSiVcg4tQ.mp4/73eSiVcg4tQ.png", @@ -43329,7 +51281,7 @@ "duration": 108, "youtube_id": "3_caioiRu5I", "keywords": "Converting, decimals, to, percents, ex, 2", - "path": "/math/arithmetic/percents/v/converting-decimals-to-percents--ex-2/", + "path": "/math/arithmetic/decimals/percent_tutorial/v/converting-decimals-to-percents--ex-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3_caioiRu5I.mp4/3_caioiRu5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3_caioiRu5I.mp4/3_caioiRu5I.png", @@ -43361,7 +51313,7 @@ "duration": 156, "youtube_id": "5z568fLBQyQ", "keywords": "Converting, decimals, to, percents, ex, 1", - 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"title": "Applying the Quadratic Formula", + "description": "Applying the Quadratic Formula", + "title": "Example 5: Using the quadratic formula", "duration": 291, "youtube_id": "_E3gx_yQhHQ", "keywords": "u16_l5_t2_we2, Applying, the, Quadratic, Formula", - "path": "/math/algebra/quadratics/v/applying-the-quadratic-formula/", + "path": "/math/algebra/quadratics/quadratic_formula/v/applying-the-quadratic-formula/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_E3gx_yQhHQ.mp4/_E3gx_yQhHQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_E3gx_yQhHQ.mp4/_E3gx_yQhHQ.png", @@ -43434,22 +51386,6 @@ "slug": "time-space-complexity--prime-number-adventure-part-2", "readable_id": "time-space-complexity--prime-number-adventure-part-2" }, - "u09-l1-t2-we3-factoring-trinomials-by-grouping-3": { - "kind": "Video", - "description": "U09_L1_T2_we3 Factoring Trinomials by Grouping 3", - "title": "U09_L1_T2_we3 Factoring Trinomials by Grouping 3", - "duration": 191, - 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"cancerous-colon-tissue": { + "ordering-improper-fractions-and-mixed-numbers": { "kind": "Video", - "description": "Dr. Andy Connolly of Stanford Medical School shows us what cancerous colon tissue looks like", - "title": "Cancerous Colon Tissue", - "duration": 757, - "youtube_id": "KyJs9H0vzTM", - "keywords": "cancer, histology, pathology, colon, tissue", - "path": "/science/healthcare-and-medicine/colon-disease/v/cancerous-colon-tissue/", + "description": "Worked examples ordering mixed numbers and improper fractions", + "title": "Ordering improper fractions and mixed numbers", + "duration": 361, + "youtube_id": "4Ql6o932ZFU", + "keywords": "", + "path": "/math/arithmetic/fractions/mixed_numbers/v/ordering-improper-fractions-and-mixed-numbers/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/KyJs9H0vzTM.mp4/KyJs9H0vzTM.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/KyJs9H0vzTM.mp4/KyJs9H0vzTM.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KyJs9H0vzTM.m3u8/KyJs9H0vzTM.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Ql6o932ZFU.mp4/4Ql6o932ZFU.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/4Ql6o932ZFU.mp4/4Ql6o932ZFU.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4Ql6o932ZFU.m3u8/4Ql6o932ZFU.m3u8" }, - "slug": "cancerous-colon-tissue", - "readable_id": "cancerous-colon-tissue" + "slug": "ordering-improper-fractions-and-mixed-numbers", + "readable_id": "ordering-improper-fractions-and-mixed-numbers" }, "use-cases-for-credit-default-swaps": { "kind": "Video", @@ -43489,7 +51425,7 @@ "duration": 271, "youtube_id": "ewSw9tF9Z0E", "keywords": "credit, default, finance, crisis", - "path": "/finance-economics/core-finance/v/use-cases-for-credit-default-swaps/", + "path": "/science/core-finance/derivative-securities/credit-default-swaps-tut/v/use-cases-for-credit-default-swaps/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ewSw9tF9Z0E.mp4/ewSw9tF9Z0E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ewSw9tF9Z0E.mp4/ewSw9tF9Z0E.png", @@ -43548,12 +51484,12 @@ }, "solving-equations-with-the-distributive-property": { "kind": "Video", - "description": "U02_L1_T2_we1 : Solving Equations with the Distributive Property", + "description": "Solving Equations with the Distributive Property", "title": "Solving Equations with the Distributive Property", "duration": 364, "youtube_id": "YZBStgZGyDY", "keywords": "U02_L1_T2_we1, Solving, Equations, with, the, Distributive, Property, CC_6_EE_3, CC_8_EE_7, CC_8_EE_7_b, CC_39336_A-REI_1, CC_39336_A-REI_3", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/solving-equations-with-the-distributive-property/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/solving-equations-with-the-distributive-property/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YZBStgZGyDY.mp4/YZBStgZGyDY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YZBStgZGyDY.mp4/YZBStgZGyDY.png", @@ -43564,12 +51500,12 @@ }, "multiplying-fractions": { "kind": "Video", - "description": "U02_L2_T1_we1 Multiplying Fractions", + "description": "Multiplying Fractions", "title": "Multiplying Fractions", "duration": 146, "youtube_id": "CTKMK1ZGLuk", "keywords": "U02_L2_T1_we1, Multiplying, Fractions, CC_5_NF_6, CC_7_NS_2, CC_7_NS_2_c", - "path": "/math/arithmetic/fractions/v/multiplying-fractions/", + "path": "/math/arithmetic/fractions/multiplying_and_dividing_frac/v/multiplying-fractions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/CTKMK1ZGLuk.mp4/CTKMK1ZGLuk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CTKMK1ZGLuk.mp4/CTKMK1ZGLuk.png", @@ -43578,6 +51514,22 @@ "slug": "multiplying-fractions", "readable_id": "multiplying-fractions" }, + "diastereomers": { + "kind": "Video", + "description": "", + "title": "diastereomers", + "duration": 554, + "youtube_id": "NCye1rnnh6g", + "keywords": "", + "path": "/science/organic-chemistry/stereochemistry-topic/diastereomers-meso-compounds/v/diastereomers/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NCye1rnnh6g.mp4/NCye1rnnh6g.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/NCye1rnnh6g.mp4/NCye1rnnh6g.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/NCye1rnnh6g.m3u8/NCye1rnnh6g.m3u8" + }, + "slug": "diastereomers", + "readable_id": "diastereomers" + }, "pozzo--st--ignatius-chapel--il-gesu--rome--commissioned-in-1695": { "kind": "Video", "description": "Andrea Pozzo, Saint Ignatius Chapel in the left transept of the church, Il Ges\u00f9, Rome (commissioned in 1695). \n\nMany artists contributed including Alessandro Algardi, Pierre Legros, Bernardino Ludovisi, Il Lorenzone and Jean-Baptiste Th\u00e9odon. \nMaterials include bronze, gold, silver, and many semiprecious stones most notably lapis lazuli. \n\nhttp://smarthistory.org/andrea-pozzos-saint-ignatius-chapel-in-church-il-gesu.html\nSpeakers: Frank Dabell, Dr. Beth Harris and Dr. Steven Zucker", @@ -43610,21 +51562,21 @@ "slug": "ph-of-a-weak-acid", "readable_id": "ph-of-a-weak-acid" }, - 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Attaching Bit-zee's digital camera", - "duration": 205, - "youtube_id": "8GhjZn2W8ns", - "keywords": "connect a digital camera, hack, make, maker, connections", - "path": "/science/projects/Bit-zee/v/attach-bit-zee-s-digital-camera/", + "description": "Comparing quantitative easing in Japan to \"credit easing\" in the United States", + "title": "US and Japanese Quantitative Easing", + "duration": 195, + "youtube_id": "a-R8qpea6lc", + "keywords": "bernanke, federal, reserve", + "path": "/science/core-finance/money-and-banking/federal-reserve/v/us-and-japanese-quantitative-easing/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8GhjZn2W8ns.mp4/8GhjZn2W8ns.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/8GhjZn2W8ns.mp4/8GhjZn2W8ns.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8GhjZn2W8ns.m3u8/8GhjZn2W8ns.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/a-R8qpea6lc.mp4/a-R8qpea6lc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/a-R8qpea6lc.mp4/a-R8qpea6lc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a-R8qpea6lc.m3u8/a-R8qpea6lc.m3u8" }, - "slug": "attach-bit-zee-s-digital-camera", - "readable_id": "attach-bit-zee-s-digital-camera" + "slug": "us-and-japanese-quantitative-easing", + "readable_id": "us-and-japanese-quantitative-easing" }, "lm-part-of-the-is-lm-model": { "kind": "Video", @@ -43633,7 +51585,7 @@ "duration": 469, "youtube_id": "yro2jLBfyDQ", "keywords": "macroecnomics, IS, LM, IS/LM, Keynes", - "path": "/finance-economics/macroeconomics/v/lm-part-of-the-is-lm-model/", + "path": "/science/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/lm-part-of-the-is-lm-model/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/yro2jLBfyDQ.mp4/yro2jLBfyDQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yro2jLBfyDQ.mp4/yro2jLBfyDQ.png", @@ -43665,7 +51617,7 @@ "duration": 204, "youtube_id": "VST_U297pH0", "keywords": "Put, Payoff, Diagram", - "path": "/finance-economics/core-finance/v/put-payoff-diagram/", + "path": "/science/core-finance/derivative-securities/put-call-options/v/put-payoff-diagram/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VST_U297pH0.mp4/VST_U297pH0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VST_U297pH0.mp4/VST_U297pH0.png", @@ -43681,7 +51633,7 @@ "duration": 470, "youtube_id": "vD2WJTIEVv0", "keywords": "risk, hedge, fund", - "path": "/finance-economics/core-finance/v/are-hedge-funds-bad/", + "path": "/science/core-finance/investment-vehicles-tutorial/hedge-funds/v/are-hedge-funds-bad/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/vD2WJTIEVv0.mp4/vD2WJTIEVv0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vD2WJTIEVv0.mp4/vD2WJTIEVv0.png", @@ -43690,6 +51642,18 @@ "slug": "are-hedge-funds-bad", "readable_id": "are-hedge-funds-bad" }, + "alkene-nomenclature": { + "kind": "Video", + "description": "", + "title": "Alkene nomenclature", + "duration": 639, + "youtube_id": "g1ZZIee9zk0", + "keywords": "", + "path": "/science/organic-chemistry/alkenes-alkynes/naming-alkenes-jay/v/alkene-nomenclature/", + "download_urls": null, + "slug": "alkene-nomenclature", + "readable_id": "alkene-nomenclature" + }, "sat-prep--test-7-section-5-part-4": { "kind": "Video", "description": "Problems 17-20 starting on page 795", @@ -43706,21 +51670,21 @@ "slug": "sat-prep--test-7-section-5-part-4", "readable_id": "sat-prep--test-7-section-5-part-4" }, - "linear-transformation-examples--scaling-and-reflections": { + "arterial-elastance--ea--and-afterload": { "kind": "Video", - "description": "Creating scaling and reflection transformation matrices (which are diagonal)", - "title": "Linear Transformation Examples: Scaling and Reflections", - "duration": 913, - "youtube_id": "qkfODKmZ-x4", - "keywords": "linear, transformation, matrices", - "path": "/math/linear-algebra/v/linear-transformation-examples--scaling-and-reflections/", + "description": "First, learn the difference between arterial elastance (Ea) and afterload. Then, understand how Ea is affected by changes in afterload, and in turn, how the PV loop can shift. Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Arterial Elastance (Ea) and Afterload", + "duration": 573, + "youtube_id": "BGIkU1yzBNM", + "keywords": "", + "path": "/science/healthcare-and-medicine/changing-the-PV-loop/v/arterial-elastance--ea--and-afterload/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qkfODKmZ-x4.mp4/qkfODKmZ-x4.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/qkfODKmZ-x4.mp4/qkfODKmZ-x4.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qkfODKmZ-x4.m3u8/qkfODKmZ-x4.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BGIkU1yzBNM.mp4/BGIkU1yzBNM.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/BGIkU1yzBNM.mp4/BGIkU1yzBNM.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/BGIkU1yzBNM.m3u8/BGIkU1yzBNM.m3u8" }, - "slug": "linear-transformation-examples--scaling-and-reflections", - "readable_id": "linear-transformation-examples--scaling-and-reflections" + "slug": "arterial-elastance--ea--and-afterload", + "readable_id": "arterial-elastance--ea--and-afterload" }, "how-to-snakes": { "kind": "Video", @@ -43745,7 +51709,7 @@ "duration": 928, "youtube_id": "SWbis2zWIvo", "keywords": "orthonormal, coordinates", - 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"path": "/math/statistics/v/confidence-interval-1/", + "path": "/math/probability/statistics-inferential/confidence-intervals/v/confidence-interval-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/bekNKJoxYbQ.mp4/bekNKJoxYbQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bekNKJoxYbQ.mp4/bekNKJoxYbQ.png", @@ -43889,7 +51885,7 @@ "duration": 859, "youtube_id": "-fFWWt1m9k0", "keywords": "binomial, theorem, expansion, pascals, triangle", - "path": "/math/precalculus/v/binomial-theorem--part-2/", + "path": "/math/trigonometry/polynomial_and_rational/binomial_theorem/v/binomial-theorem--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-fFWWt1m9k0.mp4/-fFWWt1m9k0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-fFWWt1m9k0.mp4/-fFWWt1m9k0.png", @@ -43905,7 +51901,7 @@ "duration": 719, "youtube_id": "xF_hJaXUNfE", "keywords": "binomial, combinatorics, CC_39336_A-APR_5", - "path": "/math/precalculus/v/binomial-theorem--part-3/", + "path": "/math/trigonometry/polynomial_and_rational/binomial_theorem/v/binomial-theorem--part-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xF_hJaXUNfE.mp4/xF_hJaXUNfE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xF_hJaXUNfE.mp4/xF_hJaXUNfE.png", @@ -43921,7 +51917,7 @@ "duration": 758, "youtube_id": "Cv4YhIMfbeM", "keywords": "binomial, theorem, expansion, CC_39336_A-APR_5", - 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"path": "/math/differential-equations/v/repeated-roots-of-the-characteristic-equation/", + "path": "/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/v/repeated-roots-of-the-characteristic-equation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NW9JfMvIsxw.mp4/NW9JfMvIsxw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NW9JfMvIsxw.mp4/NW9JfMvIsxw.png", @@ -44001,7 +52013,7 @@ "duration": 641, "youtube_id": "Z19-ObbmHJE", "keywords": "matrix, addition, scalar, multiplication", - "path": "/math/linear-algebra/v/more-on-matrix-addition-and-scalar-multiplication/", + "path": "/math/linear-algebra/matrix_transformations/linear_transformations/v/more-on-matrix-addition-and-scalar-multiplication/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z19-ObbmHJE.mp4/Z19-ObbmHJE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Z19-ObbmHJE.mp4/Z19-ObbmHJE.png", @@ -44012,7 +52024,7 @@ }, "equation-special-cases": { "kind": "Video", - "description": "u10_l1_t3_we1 Equation Special Cases", + "description": "Equation Special Cases", "title": "Equation Special Cases", "duration": 115, "youtube_id": "zKotuhQWIRg", @@ -44042,21 +52054,37 @@ "slug": "duccio--maesta--back---1308-11", "readable_id": "duccio--maesta--back---1308-11" }, - "barnett-newman--onement-i--1948": { + "carbocations-and-rearrangements": { "kind": "Video", - "description": "Barnett Newman, Onement I, 1948, oil on canvas ,27 1/4 x 16 1/4\" (69.2 x 41.2 cm), The Museum of Modern Art\n\nSpeakers: Dr. Steven Zucker, Dr. Beth Harris \n\nhttp://smarthistory.org/barnett-newman.html", - "title": "Newman's Onement I", - "duration": 293, - "youtube_id": "4qgOSBHptLM", - "keywords": "Newman, Onement I, Barnett Newman, Museum of Modern Art, MoMA, Smarthistory, abstract expressionism, art history", - "path": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/v/barnett-newman--onement-i--1948/", + "description": "", + "title": "carbocations and rearrangements", + "duration": 687, + "youtube_id": "fv9h29ZChfI", + "keywords": "", + "path": "/science/organic-chemistry/substitution-elimination-reactions/e1-e2-tutorial/v/carbocations-and-rearrangements/", "download_urls": { - 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"path": "/math/linear-algebra/v/relating-invertibility-to-being-onto-and-one-to-one/", + "path": "/math/linear-algebra/matrix_transformations/inverse_transformations/v/relating-invertibility-to-being-onto-and-one-to-one/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QIU1daMN8fw.mp4/QIU1daMN8fw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QIU1daMN8fw.mp4/QIU1daMN8fw.png", @@ -44081,7 +52109,7 @@ "duration": 252, "youtube_id": "N06Jy-gQog8", "keywords": "calendar, dates", - "path": "/science/cosmology-and-astronomy/v/correction-calendar-notation/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/correction-calendar-notation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/N06Jy-gQog8.mp4/N06Jy-gQog8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/N06Jy-gQog8.mp4/N06Jy-gQog8.png", @@ -44097,7 +52125,7 @@ "duration": 550, "youtube_id": "Xqfcy1rqMbI", "keywords": "probability, combinations, coin", - 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"path": "/science/physics/mechanics/v/slow-sock-on-lubricon-vi/", + "path": "/science/physics/forces-newtons-laws/lubricon-vi/v/slow-sock-on-lubricon-vi/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/CEdXvoAv_oM.mp4/CEdXvoAv_oM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CEdXvoAv_oM.mp4/CEdXvoAv_oM.png", @@ -44225,7 +52269,7 @@ "duration": 345, "youtube_id": "ZXJMwIDx29Q", "keywords": "Romanesque, wise and foolish virgins, fresco, NMAC, smarthistory, art history, history of art, Middle Ages, Barcelona", - "path": "/humanities/art-history/art-history-400-1300-medieval-era/v/the-wise-and-foolish-virgins--late-11th-century-early-12th-century/", + "path": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/v/the-wise-and-foolish-virgins--late-11th-century-early-12th-century/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZXJMwIDx29Q.mp4/ZXJMwIDx29Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZXJMwIDx29Q.mp4/ZXJMwIDx29Q.png", @@ -44241,7 +52285,7 @@ "duration": 523, "youtube_id": "4-_-wQc3EGE", "keywords": "microeconomics", - "path": "/finance-economics/microeconomics/v/deriving-demand-curve-from-tweaking-marginal-utility-per-dollar/", + "path": "/science/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/v/deriving-demand-curve-from-tweaking-marginal-utility-per-dollar/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4-_-wQc3EGE.mp4/4-_-wQc3EGE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4-_-wQc3EGE.mp4/4-_-wQc3EGE.png", @@ -44252,12 +52296,12 @@ }, "solving-one-step-equations-2": { "kind": "Video", - "description": "u10_L1_T1_we3 Solving One-Step Equations 2", + "description": "Solving One-Step Equations 2", "title": "Solving One-Step Equations 2", "duration": 143, "youtube_id": "DqeMQHomwAU", "keywords": "u10_L1_T1_we3, Solving, One-Step, Equations, CC_6_EE_2, CC_6_EE_2_c", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/solving-one-step-equations-2/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/solving-one-step-equations-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/DqeMQHomwAU.mp4/DqeMQHomwAU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DqeMQHomwAU.mp4/DqeMQHomwAU.png", @@ -44282,21 +52326,21 @@ "slug": "sat-prep--test-7-section-5-part-3", "readable_id": "sat-prep--test-7-section-5-part-3" }, - 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"path": "/humanities/art-history/art-history-400-1300-medieval-era/v/royal-figures--iran--saljuq-period/", + "path": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/v/royal-figures--iran--saljuq-period/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4S9Bqo_LX7k.mp4/4S9Bqo_LX7k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4S9Bqo_LX7k.mp4/4S9Bqo_LX7k.png", @@ -44353,7 +52397,7 @@ "duration": 411, "youtube_id": "EX1eFeaTiYM", "keywords": "hedge, fund, accounting", - "path": "/finance-economics/core-finance/v/hedge-fund-structure-and-fees/", + "path": "/science/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-fund-structure-and-fees/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/EX1eFeaTiYM.mp4/EX1eFeaTiYM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EX1eFeaTiYM.mp4/EX1eFeaTiYM.png", @@ -44385,7 +52429,7 @@ "duration": 480, "youtube_id": "XTWZ_M8d-4g", "keywords": "Trigonometry, sin, navigation, ships", - 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"path": "/math/arithmetic/number-properties/v/why-dividing-by-zero-is-undefined/", + "path": "/math/trigonometry/functions_and_graphs/undefined_indeterminate/v/why-dividing-by-zero-is-undefined/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SQzjzStU1RQ.mp4/SQzjzStU1RQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SQzjzStU1RQ.mp4/SQzjzStU1RQ.png", @@ -44529,7 +52557,7 @@ "duration": 628, "youtube_id": "MS7x2hDEhrw", "keywords": "big, history, cambrian, explosion, biodiversity, phanerozoic, eon, era, paleozoic", - "path": "/science/cosmology-and-astronomy/v/biodiversity-flourishes-in-phanerozoic-eon/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/biodiversity-flourishes-in-phanerozoic-eon/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MS7x2hDEhrw.mp4/MS7x2hDEhrw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MS7x2hDEhrw.mp4/MS7x2hDEhrw.png", @@ -44545,7 +52573,7 @@ "duration": 597, "youtube_id": "Dy6SAdpAc8I", "keywords": "finance, economics, investing", - "path": "/finance-economics/core-finance/v/open-ended-mutual-funds/", + "path": "/science/core-finance/investment-vehicles-tutorial/mutual-funds/v/open-ended-mutual-funds/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dy6SAdpAc8I.mp4/Dy6SAdpAc8I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dy6SAdpAc8I.mp4/Dy6SAdpAc8I.png", @@ -44577,7 +52605,7 @@ "duration": 702, "youtube_id": "IniG1KkPS2c", "keywords": "federal, reserve, bernanke, target, open, market, operations", - "path": "/finance-economics/banking-and-money/v/banking-14--fed-funds-rate/", + "path": "/science/core-finance/money-and-banking/banking-and-money/v/banking-14--fed-funds-rate/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/IniG1KkPS2c.mp4/IniG1KkPS2c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IniG1KkPS2c.mp4/IniG1KkPS2c.png", @@ -44593,7 +52621,7 @@ "duration": 247, "youtube_id": "C3KlN5kTWAs", "keywords": "investing, finance", - "path": "/finance-economics/core-finance/v/contango-from-trader-perspective/", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/contango-from-trader-perspective/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/C3KlN5kTWAs.mp4/C3KlN5kTWAs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/C3KlN5kTWAs.mp4/C3KlN5kTWAs.png", @@ -44705,7 +52733,7 @@ "duration": 729, "youtube_id": "Pb04ntcDJcQ", "keywords": "exact, differential, equations", - "path": "/math/differential-equations/v/exact-equations-example-1/", + "path": "/math/differential-equations/first-order-differential-equations/exact-equations/v/exact-equations-example-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Pb04ntcDJcQ.mp4/Pb04ntcDJcQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Pb04ntcDJcQ.mp4/Pb04ntcDJcQ.png", @@ -44721,7 +52749,7 @@ "duration": 481, "youtube_id": "utQi1ZhF__Q", "keywords": "exact, differential, equations", - "path": "/math/differential-equations/v/exact-equations-example-2/", + "path": "/math/differential-equations/first-order-differential-equations/exact-equations/v/exact-equations-example-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/utQi1ZhF__Q.mp4/utQi1ZhF__Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/utQi1ZhF__Q.mp4/utQi1ZhF__Q.png", @@ -44737,7 +52765,7 @@ "duration": 599, "youtube_id": "eu_GFuU7tLI", "keywords": "exact, differential, equations", - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "What's Inside of Blood?", + "duration": 669, + "youtube_id": "5MOn8X-tyFw", + "keywords": "", + "path": "/science/healthcare-and-medicine/lab-values/v/what-s-inside-of-blood/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5MOn8X-tyFw.mp4/5MOn8X-tyFw.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/5MOn8X-tyFw.mp4/5MOn8X-tyFw.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5MOn8X-tyFw.m3u8/5MOn8X-tyFw.m3u8" + }, + "slug": "what-s-inside-of-blood", + "readable_id": "what-s-inside-of-blood" + }, "laplace-transform-6": { "kind": "Video", "description": "Laplace transform of cosine and polynomials!", - "title": "Laplace Transform 6", + "title": "Laplace Transform of cos t and polynomials", "duration": 585, "youtube_id": "fyJkXBvcA2Q", "keywords": "laplace, transform", - "path": "/math/differential-equations/v/laplace-transform-6/", + "path": "/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-6/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/fyJkXBvcA2Q.mp4/fyJkXBvcA2Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fyJkXBvcA2Q.mp4/fyJkXBvcA2Q.png", @@ -44833,7 +52877,7 @@ "duration": 481, "youtube_id": "OiNh2DswFt4", "keywords": "laplace, transform", - 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"path": "/math/differential-equations/v/laplace-transform-2/", + "path": "/math/differential-equations/laplace-transform/laplace-transform-tutorial/v/laplace-transform-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/33TYoybjqPg.mp4/33TYoybjqPg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/33TYoybjqPg.mp4/33TYoybjqPg.png", @@ -44881,7 +52925,7 @@ "duration": 273, "youtube_id": "uzvopM4PZLw", "keywords": "fundamental, theorem, of, arithmetic", - "path": "/math/arithmetic/factors-multiples/v/the-fundamental-theorem-of-arithmetic/", + "path": "/math/arithmetic/factors-multiples/prime_factorization/v/the-fundamental-theorem-of-arithmetic/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/uzvopM4PZLw.mp4/uzvopM4PZLw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uzvopM4PZLw.mp4/uzvopM4PZLw.png", @@ -44913,7 +52957,7 @@ "duration": 356, "youtube_id": "wYuAwm-5-Bk", "keywords": "normal, inferior, income, effect", - "path": "/finance-economics/microeconomics/v/normal-and-inferior-goods/", + "path": "/science/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/normal-and-inferior-goods/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wYuAwm-5-Bk.mp4/wYuAwm-5-Bk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wYuAwm-5-Bk.mp4/wYuAwm-5-Bk.png", @@ -44929,7 +52973,7 @@ "duration": 212, "youtube_id": "0E3PuHiDU9U", "keywords": "capital, expense, depreciation", - 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"path": "/science/physics/mechanics/v/static-and-kinetic-friction-example/", + "path": "/science/physics/forces-newtons-laws/inclined-planes-friction/v/static-and-kinetic-friction-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZA_D4O6l1lo.mp4/ZA_D4O6l1lo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZA_D4O6l1lo.mp4/ZA_D4O6l1lo.png", @@ -45180,12 +53272,12 @@ }, "simplifying-first-for-subtracting-rational-expressions": { "kind": "Video", - "description": "u15_l1_t3_we3 Simplifying First for Subtracting Rational Expressions", + "description": "Simplifying First for Subtracting Rational Expressions", "title": "Simplifying First for Subtracting Rational Expressions", "duration": 172, "youtube_id": "tmpa8Q240XY", "keywords": "u15_l1_t3_we3, Simplifying, First, for, Subtracting, Rational, Expressions, CC_39336_A-SSE_2, CC_39336_A-SSE_3", - "path": "/math/algebra/polynomials/v/simplifying-first-for-subtracting-rational-expressions/", + "path": "/math/algebra/rational-expressions/rational_expressions/v/simplifying-first-for-subtracting-rational-expressions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tmpa8Q240XY.mp4/tmpa8Q240XY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tmpa8Q240XY.mp4/tmpa8Q240XY.png", @@ -45217,7 +53309,7 @@ "duration": 707, "youtube_id": "hV4pdjHCKuA", "keywords": "T-Statistic, Confidence, Interval, (for, small, sample, sizes)", - 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"path": "/science/cosmology-and-astronomy/v/parallax-in-observing-stars/", + "path": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial/v/parallax-in-observing-stars/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ETzUpoqZIHY.mp4/ETzUpoqZIHY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ETzUpoqZIHY.mp4/ETzUpoqZIHY.png", @@ -46161,7 +54285,7 @@ "duration": 740, "youtube_id": "kqqmJiJez6o", "keywords": "area, triangle, rectangle, CC_6_G_1", - "path": "/math/geometry/basic-geometry/v/area-and-perimeter/", + "path": "/math/geometry/basic-geometry/perimeter_area_basics/v/area-and-perimeter/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/kqqmJiJez6o.mp4/kqqmJiJez6o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/kqqmJiJez6o.mp4/kqqmJiJez6o.png", @@ -46177,7 +54301,7 @@ "duration": 1015, "youtube_id": "VrB3LaSD_uo", "keywords": "matrices, linear, algebra, determinant", - "path": "/math/linear-algebra/v/linear-algebra--determinant-when-row-is-added/", + "path": "/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra--determinant-when-row-is-added/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VrB3LaSD_uo.mp4/VrB3LaSD_uo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/VrB3LaSD_uo.mp4/VrB3LaSD_uo.png", @@ -46193,7 +54317,7 @@ "duration": 918, "youtube_id": "5qkyuHIE2GM", "keywords": "Special, Types, of, Linear, Systems, CC_39336_A-REI_6", - 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"path": "/math/precalculus/v/vi-and-sal-explore-how-we-think-about-scale/", + "path": "/math/trigonometry/exponential_and_logarithmic_func/log_functions/v/vi-and-sal-explore-how-we-think-about-scale/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4xfOq00BzJA.mp4/4xfOq00BzJA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4xfOq00BzJA.mp4/4xfOq00BzJA.png", @@ -46241,7 +54381,7 @@ "duration": 210, "youtube_id": "axGgnXyuiTg", "keywords": "arc, radian, radius, length", - "path": "/math/trigonometry/v/radian-measure-and-arc-length/", + "path": "/math/trigonometry/basic-trigonometry/radians_tutorial/v/radian-measure-and-arc-length/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/axGgnXyuiTg.mp4/axGgnXyuiTg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/axGgnXyuiTg.mp4/axGgnXyuiTg.png", @@ -46273,7 +54413,7 @@ "duration": 738, "youtube_id": "zlI8mx8Hc8o", "keywords": "subspace, orthogonal, complement", - "path": "/math/linear-algebra/v/lin-alg---orthogonal-complement-of-the-orthogonal-complement/", + "path": "/math/linear-algebra/alternate_bases/othogonal_complements/v/lin-alg---orthogonal-complement-of-the-orthogonal-complement/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/zlI8mx8Hc8o.mp4/zlI8mx8Hc8o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zlI8mx8Hc8o.mp4/zlI8mx8Hc8o.png", @@ -46337,7 +54477,7 @@ "duration": 600, "youtube_id": "8TIben0bJpU", "keywords": "probability, combinatorics", - 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"path": "/math/linear-algebra/v/linear-algebra---determinant-and-area-of-a-parallelogram/", + "path": "/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra---determinant-and-area-of-a-parallelogram/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/n-S63_goDFg.mp4/n-S63_goDFg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/n-S63_goDFg.mp4/n-S63_goDFg.png", @@ -48081,7 +56285,7 @@ "duration": 667, "youtube_id": "fp9DZYmiSC4", "keywords": "sin, cos, sine, cosine, graph, trig", - "path": "/math/trigonometry/v/we-graphs-of-sine-and-cosine-functions/", + "path": "/math/trigonometry/basic-trigonometry/trig_graphs_tutorial/v/we-graphs-of-sine-and-cosine-functions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/fp9DZYmiSC4.mp4/fp9DZYmiSC4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fp9DZYmiSC4.mp4/fp9DZYmiSC4.png", @@ -48097,7 +56301,7 @@ "duration": 679, "youtube_id": "S6TvRDwgQag", "keywords": "microeconomics", - "path": "/finance-economics/microeconomics/v/why-parties-to-cartels-cheat/", + "path": "/science/microeconomics/nash-equilibrium-tutorial/cartels-cheat-tutorial/v/why-parties-to-cartels-cheat/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/S6TvRDwgQag.mp4/S6TvRDwgQag.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/S6TvRDwgQag.mp4/S6TvRDwgQag.png", @@ -48113,7 +56317,7 @@ "duration": 242, "youtube_id": "9bwy85M1Zxg", "keywords": "Part, 2, Parameterizing, the, Surface", - "path": "/math/calculus/multivariable-calculus/v/part-2---parameterizing-the-surface/", + "path": "/math/calculus/multivariable-calculus/stokes_theorem/v/part-2---parameterizing-the-surface/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9bwy85M1Zxg.mp4/9bwy85M1Zxg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9bwy85M1Zxg.mp4/9bwy85M1Zxg.png", @@ -48193,7 +56397,7 @@ "duration": 725, "youtube_id": "hPkh8kOldU4", "keywords": "macroeconomics, keynes", - "path": "/finance-economics/macroeconomics/v/keynesian-economics/", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking/v/keynesian-economics/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/hPkh8kOldU4.mp4/hPkh8kOldU4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hPkh8kOldU4.mp4/hPkh8kOldU4.png", @@ -48225,7 +56429,7 @@ "duration": 413, "youtube_id": "s6UYa2nwaDw", "keywords": "Housing, bubble, lending, mortgage, financing", - "path": "/finance-economics/credit-crisis/v/housing-conundrum--part-4/", + "path": "/science/core-finance/housing/credit-crisis/v/housing-conundrum--part-4/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/s6UYa2nwaDw.mp4/s6UYa2nwaDw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/s6UYa2nwaDw.mp4/s6UYa2nwaDw.png", @@ -48234,6 +56438,22 @@ "slug": "housing-conundrum--part-4", "readable_id": "housing-conundrum--part-4" }, + "r-s-system-for-cyclic-compounds": { + "kind": "Video", + "description": "", + "title": "R,S system for cyclic compounds", + "duration": 741, + "youtube_id": "ygDkZqKOZWU", + "keywords": "", + "path": "/science/organic-chemistry/stereochemistry-topic/chirality-absolute-configuration/v/r-s-system-for-cyclic-compounds/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ygDkZqKOZWU.mp4/ygDkZqKOZWU.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/ygDkZqKOZWU.mp4/ygDkZqKOZWU.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ygDkZqKOZWU.m3u8/ygDkZqKOZWU.m3u8" + }, + "slug": "r-s-system-for-cyclic-compounds", + "readable_id": "r-s-system-for-cyclic-compounds" + }, "three-types-of-muscle": { "kind": "Video", "description": "Find out what makes smooth muscle, cardiac muscle, and skeletal muscle similar and different from one another. Rishi is a pediatric infectious disease physician and works at Khan Academy.", @@ -48273,7 +56493,7 @@ "duration": 672, "youtube_id": "1V9wVmO0Tfg", "keywords": "Hubble's, Law", - "path": "/science/cosmology-and-astronomy/v/hubble-s-law/", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/hubble-s-law/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1V9wVmO0Tfg.mp4/1V9wVmO0Tfg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1V9wVmO0Tfg.mp4/1V9wVmO0Tfg.png", @@ -48305,7 +56525,7 @@ "duration": 646, "youtube_id": "EdQ7Q9VoF44", "keywords": "laplace, transform, differential, equation", - "path": "/math/differential-equations/v/laplace-transform-solves-an-equation-2/", + "path": "/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation/v/laplace-transform-solves-an-equation-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/EdQ7Q9VoF44.mp4/EdQ7Q9VoF44.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/EdQ7Q9VoF44.mp4/EdQ7Q9VoF44.png", @@ -48337,7 +56557,7 @@ "duration": 598, "youtube_id": "wlB0x9W-qBU", "keywords": "physics, distance, speed, kinematics, formula", - "path": "/science/physics/mechanics/v/deriving-displacement-as-a-function-of-time--acceleration-and-initial-velocity/", + "path": "/science/physics/one-dimensional-motion/kinematic_formulas/v/deriving-displacement-as-a-function-of-time--acceleration-and-initial-velocity/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wlB0x9W-qBU.mp4/wlB0x9W-qBU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wlB0x9W-qBU.mp4/wlB0x9W-qBU.png", @@ -48346,22 +56566,6 @@ "slug": "deriving-displacement-as-a-function-of-time--acceleration-and-initial-velocity", "readable_id": "deriving-displacement-as-a-function-of-time--acceleration-and-initial-velocity" }, - "e2-e1-sn2-sn1-reactions-example-2": { - "kind": "Video", - "description": "E2 E1 Sn2 Sn1 Reactions Example 2", - "title": "E2 E1 Sn2 Sn1 Reactions Example 2", - "duration": 186, - "youtube_id": "vinEPfrqfiU", - "keywords": "E2, E1, Sn2, Sn1, Reactions, Example, organic, chemistry", - "path": "/science/organic-chemistry/v/e2-e1-sn2-sn1-reactions-example-2/", - 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"path": "/math/calculus/integral-calculus/v/ap-calculus-bc-exams--2008-1-c-d/", + "path": "/math/calculus/ap_calc_topic/bc_sample_questions/v/ap-calculus-bc-exams--2008-1-c-d/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_l0Mfsu__gU.mp4/_l0Mfsu__gU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_l0Mfsu__gU.mp4/_l0Mfsu__gU.png", @@ -48481,7 +56685,7 @@ "duration": 603, "youtube_id": "Nk2q-_jkJVs", "keywords": "harmonic, motion, spring, period, oscillatory", - "path": "/science/physics/mechanics/v/introduction-to-harmonic-motion/", + "path": "/science/physics/oscillatory-motion/harmonic-motion/v/introduction-to-harmonic-motion/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nk2q-_jkJVs.mp4/Nk2q-_jkJVs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nk2q-_jkJVs.mp4/Nk2q-_jkJVs.png", @@ -48497,7 +56701,7 @@ "duration": 550, "youtube_id": "xGiILI906C4", "keywords": "surface, integral, calculus", - "path": "/math/calculus/multivariable-calculus/v/surface-integral-ex3-part-2---evaluating-the-outside-surface/", + "path": "/math/calculus/multivariable-calculus/surface_integrals/v/surface-integral-ex3-part-2---evaluating-the-outside-surface/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xGiILI906C4.mp4/xGiILI906C4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xGiILI906C4.mp4/xGiILI906C4.png", @@ -48513,7 +56717,7 @@ "duration": 124, "youtube_id": "Sc6zc8KR_NU", "keywords": "Put-Call, Parity, Clarification", - "path": "/finance-economics/core-finance/v/put-call-parity-clarification/", + "path": "/science/core-finance/derivative-securities/put-call-options/v/put-call-parity-clarification/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Sc6zc8KR_NU.mp4/Sc6zc8KR_NU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Sc6zc8KR_NU.mp4/Sc6zc8KR_NU.png", @@ -48540,12 +56744,12 @@ }, "addition-elimination-method-1": { "kind": "Video", - "description": "u14_l2_t2_we1 Addition Elimination Method 1", + "description": "Addition Elimination Method 1", "title": "Addition Elimination Method 1", "duration": 218, "youtube_id": "0P0SCQf-hWQ", "keywords": "u14_l2_t2_we1, Addition, Elimination, Method, CC_8_EE_8_b, CC_39336_A-REI_6", - "path": "/math/algebra/systems-of-eq-and-ineq/extra-systems/v/addition-elimination-method-1/", + "path": "/math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination/v/addition-elimination-method-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/0P0SCQf-hWQ.mp4/0P0SCQf-hWQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0P0SCQf-hWQ.mp4/0P0SCQf-hWQ.png", @@ -48556,12 +56760,12 @@ }, "addition-elimination-method-2": { "kind": "Video", - "description": "u14_l2_t2_we2 Addition Elimination Method 2", + "description": "Addition Elimination Method 2", "title": "Addition Elimination Method 2", "duration": 266, "youtube_id": "hJOqGkWElNs", "keywords": "u14_l2_t2_we2, Addition, Elimination, Method, CC_8_EE_8_b, CC_39336_A-REI_6", - "path": "/math/algebra/systems-of-eq-and-ineq/extra-systems/v/addition-elimination-method-2/", + "path": "/math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination/v/addition-elimination-method-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/hJOqGkWElNs.mp4/hJOqGkWElNs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hJOqGkWElNs.mp4/hJOqGkWElNs.png", @@ -48572,12 +56776,12 @@ }, "addition-elimination-method-3": { "kind": "Video", - "description": "u14_l2_t2_we3 Addition Elimination Method 3", + "description": "Addition Elimination Method 3", "title": "Addition Elimination Method 3", "duration": 305, "youtube_id": "mKu0L46Qed4", "keywords": "u14_l2_t2_we3, Addition, Elimination, Method, CC_8_EE_8, CC_8_EE_8_a, CC_8_EE_8_b, CC_39336_A-REI_5, CC_39336_A-REI_6", - "path": "/math/algebra/systems-of-eq-and-ineq/extra-systems/v/addition-elimination-method-3/", + "path": "/math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination/v/addition-elimination-method-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/mKu0L46Qed4.mp4/mKu0L46Qed4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mKu0L46Qed4.mp4/mKu0L46Qed4.png", @@ -48588,12 +56792,12 @@ }, "addition-elimination-method-4": { "kind": "Video", - "description": "u14_l2_t2_we4 Addition Elimination Method 4", + "description": "Addition Elimination Method 4", "title": "Addition Elimination Method 4", "duration": 158, "youtube_id": "DxSmZ0MDSxM", "keywords": "u14_l2_t2_we4, Addition, Elimination, Method, CC_8_EE_8_a, CC_8_EE_8_b, CC_39336_A-REI_6", - "path": "/math/algebra/systems-of-eq-and-ineq/extra-systems/v/addition-elimination-method-4/", + "path": "/math/algebra/systems-of-eq-and-ineq/solving-systems-addition-elimination/v/addition-elimination-method-4/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/DxSmZ0MDSxM.mp4/DxSmZ0MDSxM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/DxSmZ0MDSxM.mp4/DxSmZ0MDSxM.png", @@ -48705,7 +56909,7 @@ "duration": 616, "youtube_id": "pZIaUx3UQoA", "keywords": "differential, equations, laplace, transform", - "path": "/math/differential-equations/v/laplace-transform-of--t-n--l-t-n/", + "path": "/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-of--t-n--l-t-n/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/pZIaUx3UQoA.mp4/pZIaUx3UQoA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pZIaUx3UQoA.mp4/pZIaUx3UQoA.png", @@ -48721,7 +56925,7 @@ "duration": 370, "youtube_id": "xGkE0oHyNhk", "keywords": "microeconomics, marginal, revenue, price, taker, market", - "path": "/finance-economics/microeconomics/v/marginal-revenue-and-marginal-cost/", + "path": "/science/microeconomics/firm-economic-profit/average-costs-margin-rev/v/marginal-revenue-and-marginal-cost/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xGkE0oHyNhk.mp4/xGkE0oHyNhk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xGkE0oHyNhk.mp4/xGkE0oHyNhk.png", @@ -48737,7 +56941,7 @@ "duration": 373, "youtube_id": "yAQSucmHrAk", "keywords": "geology, seismology, moho", - "path": "/science/cosmology-and-astronomy/v/the-mohorovicic-seismic-discontinuity/", + "path": "/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial/v/the-mohorovicic-seismic-discontinuity/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/yAQSucmHrAk.mp4/yAQSucmHrAk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yAQSucmHrAk.mp4/yAQSucmHrAk.png", @@ -48748,7 +56952,7 @@ }, "medicare-overview": { "kind": "Video", - "description": "Sal talks with Professor Laurence baker of Stanford Medical School", + "description": "Sal talks with Professor Laurence Baker of Stanford Medical School", "title": "Medicare Overview", "duration": 961, "youtube_id": "VpLKdKkpg68", @@ -48769,7 +56973,7 @@ "duration": 782, "youtube_id": "uXjQ8yc9Pdg", "keywords": "line, integral, example", - "path": "/math/calculus/multivariable-calculus/v/line-integral-example-1/", + "path": "/math/calculus/line_integrals_topic/line_integrals/v/line-integral-example-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/uXjQ8yc9Pdg.mp4/uXjQ8yc9Pdg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uXjQ8yc9Pdg.mp4/uXjQ8yc9Pdg.png", @@ -48778,21 +56982,21 @@ "slug": "line-integral-example-1", "readable_id": "line-integral-example-1" }, - "banking-6--bank-notes-and-checks": { + "what-is-inside-of-a-dvd-player---4-of-5": { "kind": "Video", - "description": "More on how bank notes and checks can be used.", - "title": "Banking 6: Bank Notes and Checks", - "duration": 662, - "youtube_id": "IOzZVmgK3IM", - "keywords": "banking, currency, checks, gold, finance", - "path": "/finance-economics/banking-and-money/v/banking-6--bank-notes-and-checks/", + "description": "In this video we explore the DVD ROM components inside a DVD player.", + "title": "What is inside a DVD player? (4 of 5)", + "duration": 504, + "youtube_id": "axP8LfkPvF0", + "keywords": "tolerance, fit, accuracy, fit, precision, electro-mechanical, rare earth magnets, copper coil, tracking, laser diode, mirror, reflector, laser sensor, light sensor, binary, reflection, bumps, pits, aluminum, sputtering, ribbon cable,", + "path": "/science/projects/reverse-engineering/v/what-is-inside-of-a-dvd-player---4-of-5/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/IOzZVmgK3IM.mp4/IOzZVmgK3IM.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/IOzZVmgK3IM.mp4/IOzZVmgK3IM.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/IOzZVmgK3IM.m3u8/IOzZVmgK3IM.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/axP8LfkPvF0.mp4/axP8LfkPvF0.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/axP8LfkPvF0.mp4/axP8LfkPvF0.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/axP8LfkPvF0.m3u8/axP8LfkPvF0.m3u8" }, - "slug": "banking-6--bank-notes-and-checks", - "readable_id": "banking-6--bank-notes-and-checks" + "slug": "what-is-inside-of-a-dvd-player---4-of-5", + "readable_id": "what-is-inside-of-a-dvd-player---4-of-5" }, "caillebotte--the-floor-scrapers--1875": { "kind": "Video", @@ -48812,12 +57016,12 @@ }, "perimeter-of-a-polygon": { "kind": "Video", - "description": "u07_l2_t2_we1 Perimeter of a Polygon", + "description": "Perimeter of a Polygon", "title": "Perimeter of a Polygon", "duration": 80, "youtube_id": "5ZCKr4wTQvI", "keywords": "u07_l2_t2_we1, Perimeter, of, Polygon", - "path": "/math/geometry/basic-geometry/v/perimeter-of-a-polygon/", + "path": "/math/geometry/basic-geometry/area_non_standard/v/perimeter-of-a-polygon/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5ZCKr4wTQvI.mp4/5ZCKr4wTQvI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5ZCKr4wTQvI.mp4/5ZCKr4wTQvI.png", @@ -48849,7 +57053,7 @@ "duration": 686, "youtube_id": "-FtlH4svqx4", "keywords": "Hypothesis, Testing, and, P-values", - "path": "/math/statistics/v/hypothesis-testing-and-p-values/", + "path": "/math/probability/statistics-inferential/hypothesis-testing/v/hypothesis-testing-and-p-values/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-FtlH4svqx4.mp4/-FtlH4svqx4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/-FtlH4svqx4.mp4/-FtlH4svqx4.png", @@ -48865,7 +57069,7 @@ "duration": 377, "youtube_id": "TvSKeTFsaj4", "keywords": "U05_L2_T1_we1, Solving, Percent, Problems", - "path": "/math/arithmetic/percents/v/solving-percent-problems/", + "path": "/math/arithmetic/decimals/percent_word_probs/v/solving-percent-problems/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TvSKeTFsaj4.mp4/TvSKeTFsaj4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TvSKeTFsaj4.mp4/TvSKeTFsaj4.png", @@ -48897,7 +57101,7 @@ "duration": 441, "youtube_id": "9Wfn-WWV1aY", "keywords": "first, order, homogenous, differential, equations", - "path": "/math/differential-equations/v/first-order-homegenous-equations/", + "path": "/math/differential-equations/first-order-differential-equations/homogeneous-equations/v/first-order-homegenous-equations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9Wfn-WWV1aY.mp4/9Wfn-WWV1aY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9Wfn-WWV1aY.mp4/9Wfn-WWV1aY.png", @@ -48913,7 +57117,7 @@ "duration": 965, "youtube_id": "RjkTEyO5Zso", "keywords": "Graphs, of, Quadratic, Functions", - "path": "/math/algebra/ck12-algebra-1/v/graphs-of-quadratic-functions/", + "path": "/math/trigonometry/polynomial_and_rational/solving_graphing_quadratics/v/graphs-of-quadratic-functions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/RjkTEyO5Zso.mp4/RjkTEyO5Zso.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/RjkTEyO5Zso.mp4/RjkTEyO5Zso.png", @@ -48922,6 +57126,22 @@ "slug": "graphs-of-quadratic-functions", "readable_id": "graphs-of-quadratic-functions" }, + "properties-of-ethers-and-crown-ethers": { + "kind": "Video", + "description": "", + "title": "Properties of ethers and crown ethers", + "duration": 611, + "youtube_id": "UlJmX9SLGRw", + "keywords": "", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-properties-ethers/v/properties-of-ethers-and-crown-ethers/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/UlJmX9SLGRw.mp4/UlJmX9SLGRw.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/UlJmX9SLGRw.mp4/UlJmX9SLGRw.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/UlJmX9SLGRw.m3u8/UlJmX9SLGRw.m3u8" + }, + "slug": "properties-of-ethers-and-crown-ethers", + "readable_id": "properties-of-ethers-and-crown-ethers" + }, "professional-antigen-presenting-cells--apc--and-mhc-ii-complexes": { "kind": "Video", "description": "How professional antigen presenting cells present parts of engulfed pathogens on MHC II complexes (major histocompatibility complexes).", @@ -48954,6 +57174,22 @@ "slug": "the-arch-of-titus--81-c-e", "readable_id": "the-arch-of-titus--81-c-e" }, + "oligopolies-and-monopolisitc-competition": { + "kind": "Video", + "description": "Thinking about different markets that are in-between monopolies and perfect competition", + "title": "Oligopolies and Monopolistic Competition", + "duration": 561, + "youtube_id": "PzDthFTzEa0", + "keywords": "microeconomics", + "path": "/science/microeconomics/perfect-competition-topic/monopolistic-competition-oligop/v/oligopolies-and-monopolisitc-competition/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PzDthFTzEa0.mp4/PzDthFTzEa0.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/PzDthFTzEa0.mp4/PzDthFTzEa0.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PzDthFTzEa0.m3u8/PzDthFTzEa0.m3u8" + }, + "slug": "oligopolies-and-monopolisitc-competition", + "readable_id": "oligopolies-and-monopolisitc-competition" + }, "factors-affecting-supply": { "kind": "Video", "description": "How the price of inputs, price of related goods, number of suppliers technology, and expected future prices affects the supply curve", @@ -48961,7 +57197,7 @@ "duration": 418, "youtube_id": "0isM0GF-rMI", "keywords": "economics, supply, demand", - "path": "/finance-economics/microeconomics/v/factors-affecting-supply/", + "path": "/science/microeconomics/supply-demand-equilibrium/supply-curve-tutorial/v/factors-affecting-supply/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/0isM0GF-rMI.mp4/0isM0GF-rMI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0isM0GF-rMI.mp4/0isM0GF-rMI.png", @@ -48977,7 +57213,7 @@ "duration": 454, "youtube_id": "1HYSMxu-Dns", "keywords": "macroeconomics, bank, run", - "path": "/finance-economics/macroeconomics/v/weaknesses-of-fractional-reserve-lending/", + "path": "/science/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut/v/weaknesses-of-fractional-reserve-lending/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1HYSMxu-Dns.mp4/1HYSMxu-Dns.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1HYSMxu-Dns.mp4/1HYSMxu-Dns.png", @@ -48986,6 +57222,22 @@ "slug": "weaknesses-of-fractional-reserve-lending", "readable_id": "weaknesses-of-fractional-reserve-lending" }, + "e2-elimination--mechanism": { + "kind": "Video", + "description": "", + "title": "E2 Elimination: mechanism", + "duration": 448, + "youtube_id": "YEEbMd2AGag", + "keywords": "", + "path": "/science/organic-chemistry/substitution-elimination-reactions/e1-e2-tutorial/v/e2-elimination--mechanism/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YEEbMd2AGag.mp4/YEEbMd2AGag.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/YEEbMd2AGag.mp4/YEEbMd2AGag.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YEEbMd2AGag.m3u8/YEEbMd2AGag.m3u8" + }, + "slug": "e2-elimination--mechanism", + "readable_id": "e2-elimination--mechanism" + }, "introduction-to-balance-sheets": { "kind": "Video", "description": "Using a home purchase to illustrate assets, liabilities and owner's equity.", @@ -48993,7 +57245,7 @@ "duration": 594, "youtube_id": "mxsYHiDVNlk", "keywords": "Finance, accounting, equity, mortgage, debt, credit, crunch", - "path": "/finance-economics/core-finance/v/introduction-to-balance-sheets/", + "path": "/science/core-finance/housing/home-equity-tutorial/v/introduction-to-balance-sheets/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/mxsYHiDVNlk.mp4/mxsYHiDVNlk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/mxsYHiDVNlk.mp4/mxsYHiDVNlk.png", @@ -49002,21 +57254,21 @@ "slug": "introduction-to-balance-sheets", "readable_id": "introduction-to-balance-sheets" }, - "fluids--part-11": { + "alkane-and-cycloalkane-nomenclature-iii": { "kind": "Video", - "description": "Clarification of the problem in part 10", - "title": "Fluids (part 11)", - "duration": 319, - "youtube_id": "HnfBFeLunk4", - "keywords": "physics, bernoulli's, equation, pressure", - "path": "/science/physics/fluids/v/fluids--part-11/", + "description": "", + "title": "alkane and cycloalkane nomenclature III", + "duration": 786, + "youtube_id": "joQd0qVnX4M", + "keywords": "", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes-cycloalkanes-bicyclic/v/alkane-and-cycloalkane-nomenclature-iii/", "download_urls": { - 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"description": "U03_L2_T1_we1 Adding Decimals", + "description": "Adding Decimals", "title": "Adding Decimals", "duration": 165, "youtube_id": "w616LEmrHVE", "keywords": "U03_L2_T1_we1, Adding, Decimals", - "path": "/math/arithmetic/decimals/v/adding-decimals/", + "path": "/math/arithmetic/decimals/adding_decimals/v/adding-decimals/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/w616LEmrHVE.mp4/w616LEmrHVE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w616LEmrHVE.mp4/w616LEmrHVE.png", @@ -49068,12 +57336,12 @@ }, "adding-and-subtracting-rational-expressions": { "kind": "Video", - "description": "u15_l1_t3_we4 Adding and Subtracting Rational Expressions", + "description": "Adding and Subtracting Rational Expressions", "title": "Adding and Subtracting Rational Expressions", "duration": 495, "youtube_id": "y_DweTAEYWk", "keywords": "u15_l1_t3_we4, Adding, and, Subtracting, Rational, Expressions, CC_39336_A-SSE_2, CC_39336_A-SSE_3", - "path": "/math/algebra/rational-expressions/v/adding-and-subtracting-rational-expressions/", + "path": "/math/trigonometry/polynomial_and_rational/rational_funcs_tutorial/v/adding-and-subtracting-rational-expressions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/y_DweTAEYWk.mp4/y_DweTAEYWk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y_DweTAEYWk.mp4/y_DweTAEYWk.png", @@ -49105,7 +57373,7 @@ "duration": 667, "youtube_id": "E4rbS0oxg30", "keywords": "Random, Predictions, for, 2060", - "path": "/science/cosmology-and-astronomy/v/random-predictions-for-2060/", + "path": "/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/random-predictions-for-2060/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/E4rbS0oxg30.mp4/E4rbS0oxg30.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/E4rbS0oxg30.mp4/E4rbS0oxg30.png", @@ -49121,7 +57389,7 @@ "duration": 562, "youtube_id": "Gn2pdkvdbGQ", "keywords": "fraction, decimal, math, khan, academy, CC_4_NF_6", - "path": "/math/arithmetic/decimals/v/converting-fractions-to-decimals/", + "path": "/math/arithmetic/fractions/decimals_fractions/v/converting-fractions-to-decimals/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Gn2pdkvdbGQ.mp4/Gn2pdkvdbGQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Gn2pdkvdbGQ.mp4/Gn2pdkvdbGQ.png", @@ -49153,7 +57421,7 @@ "duration": 992, "youtube_id": "bJ_09eoCmag", "keywords": "Determining, Position, Vector-Valued, Function, for, Parametrization, of, Two, Parameters", - "path": "/math/calculus/multivariable-calculus/v/determining-a-position-vector-valued-function-for-a-parametrization-of-two-parameters/", + "path": "/math/calculus/multivariable-calculus/surface_parametrization/v/determining-a-position-vector-valued-function-for-a-parametrization-of-two-parameters/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/bJ_09eoCmag.mp4/bJ_09eoCmag.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bJ_09eoCmag.mp4/bJ_09eoCmag.png", @@ -49178,21 +57446,21 @@ "slug": "membrane-potentials---part-1", "readable_id": "membrane-potentials---part-1" }, - "membrane-potentials---part-2": { + "magnetism-12--induced-current-in-a-wire": { "kind": "Video", - "description": "Find out how a cell that is permeable to one ion can become charged (either positive or negative) if there is permeability and a concentration gradient. 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"readable_id": "donatello--david--bronze--c--1440s" + "slug": "put-call-parity-arbitrage-i", + "readable_id": "put-call-parity-arbitrage-i" }, "proof--d-dx-ln-x----1-x": { "kind": "Video", @@ -50145,7 +58457,7 @@ "duration": 592, "youtube_id": "yUpDRpkUhf4", "keywords": "proof, derivative, ln, natural, log, calculus", - "path": "/math/calculus/differential-calculus/v/proof--d-dx-ln-x----1-x/", + "path": "/math/calculus/differential-calculus/der_common_functions/v/proof--d-dx-ln-x----1-x/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/yUpDRpkUhf4.mp4/yUpDRpkUhf4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/yUpDRpkUhf4.mp4/yUpDRpkUhf4.png", @@ -50161,7 +58473,7 @@ "duration": 300, "youtube_id": "lQ-dvt3V4yQ", "keywords": "physics, displacement, distance, rate, time", - "path": "/science/physics/mechanics/v/displacement-from-time-and-velocity-example/", + "path": "/science/physics/one-dimensional-motion/displacement-velocity-time/v/displacement-from-time-and-velocity-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lQ-dvt3V4yQ.mp4/lQ-dvt3V4yQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lQ-dvt3V4yQ.mp4/lQ-dvt3V4yQ.png", @@ -50189,11 +58501,11 @@ "addition-of-rational--numbers": { "kind": "Video", "description": "", - "title": "Addition of Rational Numbers", + "title": "Adding fractions examples", "duration": 460, "youtube_id": "BKEtsv9MbyY", "keywords": "Addition, of, Rational, Numbers, CC_5_NF_1, CC_7_NS_1", - "path": "/math/algebra/ck12-algebra-1/v/addition-of-rational--numbers/", + "path": "/math/arithmetic/fractions/Adding_and_subtracting_fractions/v/addition-of-rational--numbers/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BKEtsv9MbyY.mp4/BKEtsv9MbyY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BKEtsv9MbyY.mp4/BKEtsv9MbyY.png", @@ -50209,7 +58521,7 @@ "duration": 407, "youtube_id": "TLSYwkWCIzA", "keywords": "", - "path": "/finance-economics/core-finance/v/transfer-pricing-and-tax-havens/", + "path": "/science/core-finance/taxes-topic/corporate-taxation/v/transfer-pricing-and-tax-havens/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TLSYwkWCIzA.mp4/TLSYwkWCIzA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/TLSYwkWCIzA.mp4/TLSYwkWCIzA.png", @@ -50225,7 +58537,7 @@ "duration": 543, "youtube_id": "nu87kfmwNfU", "keywords": "determinant, row, column", - "path": "/math/linear-algebra/v/linear-algebra--determinants-along-other-rows-cols/", + "path": "/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra--determinants-along-other-rows-cols/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/nu87kfmwNfU.mp4/nu87kfmwNfU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nu87kfmwNfU.mp4/nu87kfmwNfU.png", @@ -50241,7 +58553,7 @@ "duration": 1409, "youtube_id": "BZmtnCqTWik", "keywords": "guillotine, reign, of, terror, french, revolution", - "path": "/humanities/history/euro-hist/v/french-revolution--part-3----reign-of-terror/", + "path": "/humanities/history/euro-hist/french-revolution-tutorial/v/french-revolution--part-3----reign-of-terror/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BZmtnCqTWik.mp4/BZmtnCqTWik.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BZmtnCqTWik.mp4/BZmtnCqTWik.png", @@ -50257,7 +58569,7 @@ "duration": 1398, "youtube_id": "qBfc57x_RSg", "keywords": "rowspace, left, nullspace", - "path": "/math/linear-algebra/v/linear-algebra--rowspace-and-left-nullspace/", + "path": "/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra--rowspace-and-left-nullspace/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qBfc57x_RSg.mp4/qBfc57x_RSg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qBfc57x_RSg.mp4/qBfc57x_RSg.png", @@ -50273,7 +58585,7 @@ "duration": 573, "youtube_id": "ouYZiIh8Ctc", "keywords": "Calculus, Integration, parts, derivative, math, khan", - "path": "/math/calculus/integral-calculus/v/integration-by-parts--part-6-of-indefinite-integration/", + "path": "/math/calculus/integral-calculus/integration_by_parts/v/integration-by-parts--part-6-of-indefinite-integration/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ouYZiIh8Ctc.mp4/ouYZiIh8Ctc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ouYZiIh8Ctc.mp4/ouYZiIh8Ctc.png", @@ -50289,7 +58601,7 @@ "duration": 368, "youtube_id": "4eLJGG2Ad30", "keywords": "Histograms, CC_6_SP_4", - "path": "/math/algebra/ck12-algebra-1/v/histograms/", + "path": "/math/arithmetic/interpreting-data-topic/reading_data/v/histograms/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4eLJGG2Ad30.mp4/4eLJGG2Ad30.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4eLJGG2Ad30.mp4/4eLJGG2Ad30.png", @@ -50298,21 +58610,21 @@ "slug": "histograms", "readable_id": "histograms" }, - "quasistatic-and-reversible-processes": { + "example-calculating-real-gdp-with-a-deflator": { "kind": "Video", - "description": "Using theoretically quasi-static and/or reversible processes to stay pretty much at equilibrium.", - "title": "Quasistatic and Reversible Processes", - "duration": 877, - "youtube_id": "lKq-10ysDb4", - "keywords": "chemistry, thermodynamics, quasistatic, reversible", - "path": "/science/physics/thermodynamics/v/quasistatic-and-reversible-processes/", + "description": "Simple example of calculating Real GDP from Nominal GDP", + "title": "Example Calculating Real GDP with a Deflator", + "duration": 339, + "youtube_id": "v5YT8GlSxoU", + "keywords": "macroeconomics", + "path": "/science/macroeconomics/gdp-topic/real-nominal-gdp-tutorial/v/example-calculating-real-gdp-with-a-deflator/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lKq-10ysDb4.mp4/lKq-10ysDb4.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/lKq-10ysDb4.mp4/lKq-10ysDb4.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lKq-10ysDb4.m3u8/lKq-10ysDb4.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/v5YT8GlSxoU.mp4/v5YT8GlSxoU.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/v5YT8GlSxoU.mp4/v5YT8GlSxoU.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v5YT8GlSxoU.m3u8/v5YT8GlSxoU.m3u8" }, - "slug": "quasistatic-and-reversible-processes", - "readable_id": "quasistatic-and-reversible-processes" + "slug": "example-calculating-real-gdp-with-a-deflator", + "readable_id": "example-calculating-real-gdp-with-a-deflator" }, "attach-and-wire-bit-zee-s-motor-controller": { "kind": "Video", @@ -50332,12 +58644,12 @@ }, "numerator-and-denominator-of-a-fraction": { "kind": "Video", - "description": "U02_l1_T1_we1 Numerator and Denominator of a Fraction", + "description": "Numerator and Denominator of a Fraction", "title": "Numerator and Denominator of a Fraction", "duration": 151, "youtube_id": "3XOt1fjWKi8", "keywords": "U02_l1_T1_we1, Numerator, and, Denominator, of, Fraction, CC_3_G_2, CC_3_NF_1", - "path": "/math/arithmetic/fractions/v/numerator-and-denominator-of-a-fraction/", + "path": "/math/arithmetic/fractions/understanding_fractions/v/numerator-and-denominator-of-a-fraction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3XOt1fjWKi8.mp4/3XOt1fjWKi8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3XOt1fjWKi8.mp4/3XOt1fjWKi8.png", @@ -50380,12 +58692,12 @@ }, "solving-for-a-variable-2": { "kind": "Video", - "description": "U02_L1_T4_we2 : Solving for a Variable 2", + "description": "Solving for a Variable 2", "title": "Solving for a Variable 2", "duration": 161, "youtube_id": "BR5yFOt0zao", "keywords": "U02_L1_T4_we2, Solving, for, Variable, CC_6_EE_2_c, CC_6_EE_6, CC_7_EE_4_a, CC_8_EE_7_b, CC_39336_A-REI_3", - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/solving-for-a-variable-2/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/solving-for-a-variable-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BR5yFOt0zao.mp4/BR5yFOt0zao.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BR5yFOt0zao.mp4/BR5yFOt0zao.png", @@ -50401,7 +58713,7 @@ "duration": 335, "youtube_id": "b0U1NxbRU4w", "keywords": "right, triangle, inscribed, circle, circumscribed, prrof, geometry", - "path": "/math/geometry/circles-topic/v/right-triangles-inscribed-in-circles--proof/", + "path": "/math/geometry/triangles/v/right-triangles-inscribed-in-circles--proof/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/b0U1NxbRU4w.mp4/b0U1NxbRU4w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b0U1NxbRU4w.mp4/b0U1NxbRU4w.png", @@ -50426,6 +58738,22 @@ "slug": "preload-stretches-out-the-heart-cells", "readable_id": "preload-stretches-out-the-heart-cells" }, + "earth-s-tilt-1--the-reason-for-the-seasons": { + "kind": "Video", + "description": "How can it be summer in North America and winter in Australia at the same time?!\n\nLicense: Creative Commons BY-NC-SA\nMore information at http://k12videos.mit.edu/terms-conditions", + "title": "Earth's Tilt 1: The Reason for the Seasons", + "duration": 339, + "youtube_id": "Pgq0LThW7QA", + "keywords": "", + "path": "/science/mit-k12/v/earth-s-tilt-1--the-reason-for-the-seasons/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Pgq0LThW7QA.mp4/Pgq0LThW7QA.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Pgq0LThW7QA.mp4/Pgq0LThW7QA.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Pgq0LThW7QA.m3u8/Pgq0LThW7QA.m3u8" + }, + "slug": "earth-s-tilt-1--the-reason-for-the-seasons", + "readable_id": "earth-s-tilt-1--the-reason-for-the-seasons" + }, "similarity-example-problems": { "kind": "Video", "description": "Two example problems involving similarity", @@ -50506,6 +58834,22 @@ "slug": "gian-lorenzo-bernini--cathedra-petri--chair-of-st--peter---c--120-80-b-c-e", "readable_id": "gian-lorenzo-bernini--cathedra-petri--chair-of-st--peter---c--120-80-b-c-e" }, + "sat-prep--test-7-section-8-part-1": { + "kind": "Video", + "description": "Problems 1-6 starting on page 803", + "title": "SAT Prep: Test 7 Section 8 Part 1", + "duration": 542, + "youtube_id": "GZOp27tWARg", + "keywords": "Math, SAT, Prep", + "path": "/test-prep/sat-math/v/sat-prep--test-7-section-8-part-1/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GZOp27tWARg.mp4/GZOp27tWARg.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/GZOp27tWARg.mp4/GZOp27tWARg.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GZOp27tWARg.m3u8/GZOp27tWARg.m3u8" + }, + "slug": "sat-prep--test-7-section-8-part-1", + "readable_id": "sat-prep--test-7-section-8-part-1" + }, "similarity-postulates": { "kind": "Video", "description": "Thinking about what we need to know whether two triangles are similar", @@ -50529,7 +58873,7 @@ "duration": 787, "youtube_id": "qvyboGryeA8", "keywords": "nullspace, null, space, subspace, matrix, vector", - "path": "/math/linear-algebra/v/null-space-2--calculating-the-null-space-of-a-matrix/", + "path": "/math/linear-algebra/vectors_and_spaces/null_column_space/v/null-space-2--calculating-the-null-space-of-a-matrix/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qvyboGryeA8.mp4/qvyboGryeA8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qvyboGryeA8.mp4/qvyboGryeA8.png", @@ -50545,7 +58889,7 @@ "duration": 631, "youtube_id": "gGXnILbrhsM", "keywords": "greens, theorem, line, integral, vector, field", - "path": "/math/calculus/multivariable-calculus/v/green-s-theorem-example-1/", + "path": "/math/calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-example-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gGXnILbrhsM.mp4/gGXnILbrhsM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gGXnILbrhsM.mp4/gGXnILbrhsM.png", @@ -50554,22 +58898,6 @@ "slug": "green-s-theorem-example-1", "readable_id": "green-s-theorem-example-1" }, - "donatello--madonna-of-the-clouds--c--1425--35": { - "kind": "Video", - "description": "Donatello, Madonna of the Clouds, c. 1425--35, marble, 33.1 x 32 cm / 13 1/16 x 12 5/8 inches (Museum of Fine Arts, Boston)", - "title": "Donatello's Madonna of the Clouds", - "duration": 274, - "youtube_id": "q3N1IqBoKSo", - "keywords": "Donatello, MFA, Boston, Renaissance, Italy, Relief, Sculpture, Florence, Italian, Madonna of the Clouds, Madonna, Clouds, Khan Academy, smarthistory, art history, Google Art Project, OER, painting", - "path": "/humanities/art-history/art-history-1400-1500-renaissance-in-italy-and-the-north/v/donatello--madonna-of-the-clouds--c--1425--35/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/q3N1IqBoKSo.mp4/q3N1IqBoKSo.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/q3N1IqBoKSo.mp4/q3N1IqBoKSo.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/q3N1IqBoKSo.m3u8/q3N1IqBoKSo.m3u8" - }, - "slug": "donatello--madonna-of-the-clouds--c--1425--35", - "readable_id": "donatello--madonna-of-the-clouds--c--1425--35" - }, "green-s-theorem-example-2": { "kind": "Video", "description": "Another example applying Green's Theorem", @@ -50577,7 +58905,7 @@ "duration": 427, "youtube_id": "sSyPAAyL8nQ", "keywords": "Green's, theorem, line, integral, vector, calculus", - "path": "/math/calculus/multivariable-calculus/v/green-s-theorem-example-2/", + "path": "/math/calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-example-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/sSyPAAyL8nQ.mp4/sSyPAAyL8nQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sSyPAAyL8nQ.mp4/sSyPAAyL8nQ.png", @@ -50593,7 +58921,7 @@ "duration": 686, "youtube_id": "i6lfVUp5RW8", "keywords": "Scientific, Notation", - "path": "/math/algebra/ck12-algebra-1/v/scientific-notation/", + "path": "/math/arithmetic/exponents-radicals/scientific-notation/v/scientific-notation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/i6lfVUp5RW8.mp4/i6lfVUp5RW8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/i6lfVUp5RW8.mp4/i6lfVUp5RW8.png", @@ -50609,7 +58937,7 @@ "duration": 635, "youtube_id": "CFygKiTB-4A", "keywords": "momentum, vectors, vector, physics, dimensions", - "path": "/science/physics/mechanics/v/2-dimensional-momentum-problem/", + "path": "/science/physics/linear-momentum/momentum-tutorial/v/2-dimensional-momentum-problem/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/CFygKiTB-4A.mp4/CFygKiTB-4A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/CFygKiTB-4A.mp4/CFygKiTB-4A.png", @@ -50668,12 +58996,12 @@ }, "factor-polynomials-using-the-gcf": { "kind": "Video", - "description": "u12_l1_t1_we2 Factor polynomials using the GCF", + "description": " Factor polynomials using the GCF", "title": "Factor polynomials using the GCF", "duration": 328, "youtube_id": "_sIuZHYrdWM", "keywords": "Factor, polynomials, using, the, GCF, CC_39336_A-SSE_1_a, CC_39336_A-SSE_1_b", - "path": "/math/algebra/polynomials/v/factor-polynomials-using-the-gcf/", + "path": "/math/algebra/polynomials/multiplying_polynomials/v/factor-polynomials-using-the-gcf/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_sIuZHYrdWM.mp4/_sIuZHYrdWM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_sIuZHYrdWM.mp4/_sIuZHYrdWM.png", @@ -50721,7 +59049,7 @@ "duration": 719, "youtube_id": "zh8XASZxo1Q", "keywords": "macroeconomics, GNP, GDP", - "path": "/finance-economics/macroeconomics/v/parsing-gross-domestic-product/", + "path": "/science/macroeconomics/gdp-topic/circular-econ-gdp-tutorial/v/parsing-gross-domestic-product/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/zh8XASZxo1Q.mp4/zh8XASZxo1Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zh8XASZxo1Q.mp4/zh8XASZxo1Q.png", @@ -50737,7 +59065,7 @@ "duration": 377, "youtube_id": "_k3aWF6_b4w", "keywords": "multiplication, CC_4_NBT_5, CC_6_NS_3", - "path": "/math/arithmetic/multiplication-division/v/multiplication-7--old-video-giving-more-examples/", + "path": "/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplication-7--old-video-giving-more-examples/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_k3aWF6_b4w.mp4/_k3aWF6_b4w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_k3aWF6_b4w.mp4/_k3aWF6_b4w.png", @@ -50762,6 +59090,22 @@ "slug": "paul-gauguin--the-red-cow--1889", "readable_id": "paul-gauguin--the-red-cow--1889" }, + "adding-up-resistance-problem": { + "kind": "Video", + "description": "Here's a chance to see if you can combine what you know to add up resistance in series AND in parallel. Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Adding up resistance problem", + "duration": 203, + "youtube_id": "5lXw5_4R2B4", + "keywords": "", + "path": "/science/healthcare-and-medicine/blood-pressure/v/adding-up-resistance-problem/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5lXw5_4R2B4.mp4/5lXw5_4R2B4.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/5lXw5_4R2B4.mp4/5lXw5_4R2B4.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5lXw5_4R2B4.m3u8/5lXw5_4R2B4.m3u8" + }, + "slug": "adding-up-resistance-problem", + "readable_id": "adding-up-resistance-problem" + }, "david--the-intervention-of-the-sabine-women--1799": { "kind": "Video", "description": "Jacques-Louis David, The Intervention of the Sabine Women, 1799, Oil on canvas, 12 feet, 8 inches x 17 feet and 3/4 of an inch or 3.85 x 5.22 m (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Dr. Beth Harris and Dr. Steven Zucker", @@ -50801,7 +59145,7 @@ "duration": 277, "youtube_id": "wDuCOxDxMzY", "keywords": "federal, reserve, yield, banking", - "path": "/finance-economics/core-finance/v/fed-open-market-operations/", + "path": "/science/core-finance/money-and-banking/federal-reserve/v/fed-open-market-operations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wDuCOxDxMzY.mp4/wDuCOxDxMzY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wDuCOxDxMzY.mp4/wDuCOxDxMzY.png", @@ -50817,7 +59161,7 @@ "duration": 1508, "youtube_id": "zC_dTaEY2AY", "keywords": "derivative, calculus, function, graphing, inflection, critical, points, CC_39336_F-IF_7", - "path": "/math/calculus/differential-calculus/v/calculus-graphing-with-derivatives-example/", + "path": "/math/calculus/derivative_applications/critical_points_graphing/v/calculus-graphing-with-derivatives-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/zC_dTaEY2AY.mp4/zC_dTaEY2AY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zC_dTaEY2AY.mp4/zC_dTaEY2AY.png", @@ -50858,6 +59202,22 @@ "slug": "holy-thorn-reliquary--made-in-paris-for-jean--duc-de-berry---c--1390s", "readable_id": "holy-thorn-reliquary--made-in-paris-for-jean--duc-de-berry---c--1390s" }, + "rhapsody-on-the-proof-of-pi---4": { + "kind": "Video", + "description": "Correction: when I mark where pi is on the graph, I meant pi/2!\nNote: If this video were supposed to be teaching you, I'd probably have to make it boring and say that in one sense of limits, spoiler alert, you actually do approach a circle and a line, solving the apparent paradox by saying that the invariant of length does not hold over infinity. Luckily I am an artist, and this is a Rhapsody, and instead of \"learning,\" you get to actually think, if you like.", + "title": "Rhapsody on the Proof of Pi = 4", + "duration": 356, + "youtube_id": "D2xYjiL8yyE", + "keywords": "mathematics, graphs, infinity, fractals, polygons, doodling, vi hart", + "path": "/math/vi-hart/v/rhapsody-on-the-proof-of-pi---4/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/D2xYjiL8yyE.mp4/D2xYjiL8yyE.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/D2xYjiL8yyE.mp4/D2xYjiL8yyE.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D2xYjiL8yyE.m3u8/D2xYjiL8yyE.m3u8" + }, + "slug": "rhapsody-on-the-proof-of-pi---4", + "readable_id": "rhapsody-on-the-proof-of-pi---4" + }, "solid-geometry-volume": { "kind": "Video", "description": "Volume of triangular prisms and cubes", @@ -50865,7 +59225,7 @@ "duration": 236, "youtube_id": "ZqzAOZ9pP9Q", "keywords": "volume, geometry, CC_5_MD_3, CC_5_MD_5, CC_5_MD_5_a, CC_5_MD_5_b, CC_7_G_6", - 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"path": "/math/arithmetic/order-of-operations/v/more-complicated-order-of-operations-example/", + "path": "/math/arithmetic/multiplication-division/order_of_operations/v/more-complicated-order-of-operations-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/piIcRV2dx7E.mp4/piIcRV2dx7E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/piIcRV2dx7E.mp4/piIcRV2dx7E.png", @@ -50961,7 +59321,7 @@ "duration": 510, "youtube_id": "5a6zpfl50go", "keywords": "Solving, Linear, Systems, by, Graphing, CC_8_EE_8_a, CC_39336_A-REI_11, CC_39336_A-REI_6", - "path": "/math/algebra/ck12-algebra-1/v/solving-linear-systems-by-graphing/", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-through-examples/v/solving-linear-systems-by-graphing/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5a6zpfl50go.mp4/5a6zpfl50go.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5a6zpfl50go.mp4/5a6zpfl50go.png", @@ -50977,7 +59337,7 @@ "duration": 475, "youtube_id": "a9aUMpGs6c8", "keywords": "economics, PPF, investment, consumption", - "path": "/finance-economics/microeconomics/v/economic-growth-through-investment/", + "path": "/science/microeconomics/choices-opp-cost-tutorial/production-possibilities/v/economic-growth-through-investment/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/a9aUMpGs6c8.mp4/a9aUMpGs6c8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a9aUMpGs6c8.mp4/a9aUMpGs6c8.png", @@ -50993,7 +59353,7 @@ "duration": 546, "youtube_id": "FOkQszg1-j8", "keywords": "physics, kinematics", - "path": "/science/physics/mechanics/v/acceleration/", + "path": "/science/physics/one-dimensional-motion/acceleration_tutorial/v/acceleration/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/FOkQszg1-j8.mp4/FOkQszg1-j8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FOkQszg1-j8.mp4/FOkQszg1-j8.png", @@ -51002,6 +59362,22 @@ "slug": "acceleration", "readable_id": "acceleration" }, + "alkyl-halide-nomenclature": { + "kind": "Video", + "description": "", + "title": "alkyl halide nomenclature", + "duration": 612, + "youtube_id": "VPYDW1_FsyM", + "keywords": "", + "path": "/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-tutorial/v/alkyl-halide-nomenclature/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VPYDW1_FsyM.mp4/VPYDW1_FsyM.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/VPYDW1_FsyM.mp4/VPYDW1_FsyM.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VPYDW1_FsyM.m3u8/VPYDW1_FsyM.m3u8" + }, + "slug": "alkyl-halide-nomenclature", + "readable_id": "alkyl-halide-nomenclature" + }, "laplace-transform-to-solve-an-equation": { "kind": "Video", "description": "Using the Laplace Transform to solve an equation we already knew how to solve.", @@ -51009,7 +59385,7 @@ "duration": 651, "youtube_id": "3uYb-RhM7lU", "keywords": "laplace, transform, differential, equation", - "path": "/math/differential-equations/v/laplace-transform-to-solve-an-equation/", + "path": "/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation/v/laplace-transform-to-solve-an-equation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3uYb-RhM7lU.mp4/3uYb-RhM7lU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3uYb-RhM7lU.mp4/3uYb-RhM7lU.png", @@ -51025,7 +59401,7 @@ "duration": 654, "youtube_id": "OB8b8aDGLgE", "keywords": "gradient, scalar, field", - "path": "/math/calculus/multivariable-calculus/v/gradient-of-a-scalar-field/", + "path": "/math/calculus/partial_derivatives_topic/gradient/v/gradient-of-a-scalar-field/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/OB8b8aDGLgE.mp4/OB8b8aDGLgE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OB8b8aDGLgE.mp4/OB8b8aDGLgE.png", @@ -51034,30 +59410,30 @@ "slug": "gradient-of-a-scalar-field", "readable_id": "gradient-of-a-scalar-field" }, - 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"slug": "willem-de-kooning--woman-i--1950-52", - "readable_id": "willem-de-kooning--woman-i--1950-52" + "slug": "introduction-to-ph--poh--and-pkw", + "readable_id": "introduction-to-ph--poh--and-pkw" }, "adding-negative-numbers": { "kind": "Video", - "description": "u9_l2_t1_we1 Adding Negative Numbers", - "title": "Adding Negative Numbers", + "description": "Adding Negative Numbers", + "title": "Example: Adding negative numbers", "duration": 341, "youtube_id": "AcpIO62x2oo", "keywords": "u9_l2_t1_we1, Adding, Negative, Numbers", - "path": "/math/arithmetic/negative-numbers/v/adding-negative-numbers/", + "path": "/math/arithmetic/absolute-value/adding_subtracting_negatives/v/adding-negative-numbers/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AcpIO62x2oo.mp4/AcpIO62x2oo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AcpIO62x2oo.mp4/AcpIO62x2oo.png", @@ -51066,21 +59442,21 @@ "slug": "adding-negative-numbers", "readable_id": "adding-negative-numbers" }, - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", - "title": "Calculate your own Body Mass Index", - "duration": 441, - "youtube_id": "5RXRr8PKunk", - "keywords": "", - "path": "/science/healthcare-and-medicine/healthy-lifestyle/v/calculate-your-own-body-mass-index/", + "description": "Simple example of solving for time given distance and rate", + "title": "Solving for Time", + "duration": 575, + "youtube_id": "awzOvyMKeMA", + "keywords": "velocity, physics, mechanics", + "path": "/science/physics/one-dimensional-motion/displacement-velocity-time/v/solving-for-time/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5RXRr8PKunk.mp4/5RXRr8PKunk.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/5RXRr8PKunk.mp4/5RXRr8PKunk.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/5RXRr8PKunk.m3u8/5RXRr8PKunk.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/awzOvyMKeMA.mp4/awzOvyMKeMA.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/awzOvyMKeMA.mp4/awzOvyMKeMA.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/awzOvyMKeMA.m3u8/awzOvyMKeMA.m3u8" }, - "slug": "calculate-your-own-body-mass-index", - "readable_id": "calculate-your-own-body-mass-index" + "slug": "solving-for-time", + "readable_id": "solving-for-time" }, "renin-production-in-the-kidneys": { "kind": "Video", @@ -51121,7 +59497,7 @@ "duration": 489, "youtube_id": "xc-TSAQkqJ0", "keywords": "eurozone, crisis, greece, marquee", - "path": "/finance-economics/greek-debt-crisis/v/why-europe-is-worried-about-greece/", + "path": "/science/core-finance/money-and-banking/greek-debt-crisis/v/why-europe-is-worried-about-greece/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xc-TSAQkqJ0.mp4/xc-TSAQkqJ0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xc-TSAQkqJ0.mp4/xc-TSAQkqJ0.png", @@ -51148,12 +59524,12 @@ }, "factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping": { "kind": "Video", - "description": "u12_l2_t1_we3 Factoring trinomials with a non-1 leading coefficient by grouping", - "title": "Factoring trinomials with a non-1 leading coefficient by grouping", + "description": "Factoring trinomials with a non-1 leading coefficient by grouping", + "title": "Example 1: Factoring by grouping", "duration": 339, "youtube_id": "ISPxJ6JXT8o", "keywords": "u12_l2_t1_we3, Factoring, trinomials, with, non-1, leading, coefficient, by, grouping, CC_39336_A-SSE_1_a, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2, CC_39336_A-SSE_3", - "path": "/math/algebra/polynomials/v/factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping/", + "path": "/math/algebra/quadratics/factoring_quadratics/v/factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ISPxJ6JXT8o.mp4/ISPxJ6JXT8o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ISPxJ6JXT8o.mp4/ISPxJ6JXT8o.png", @@ -51162,21 +59538,21 @@ "slug": "factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping", "readable_id": "factoring-trinomials-with-a-non-1-leading-coefficient-by-grouping" }, - "rembrandt--a-girl-at-a-window--1645": { + "snowflakes--starflakes--and-swirlflakes": { "kind": "Video", - "description": "Rembrandt Harmensz van Rijn, A Girl at a Window, 1645, oil on canvas, 32 x 24 in. (81.6 x 61 cm), (Dulwich Picture Gallery, London)\n\nSpeakers: Pippa Couch, Rachel Ropeik", - "title": "Rembrandt's Girl at a Window", - "duration": 170, - "youtube_id": "xSixUm1cXSw", - "keywords": "Rembrandt, Dulwich Picture Gallery, Art History, Smarthistory", - "path": "/humanities/art-history/art-history-1600-1700-the-baroque/v/rembrandt--a-girl-at-a-window--1645/", + "description": "Unusual variations on the paper snowflake.", + "title": "Snowflakes, Starflakes, and Swirlflakes", + "duration": 244, + "youtube_id": "8EmhGOQ-DNQ", + "keywords": "", + "path": "/math/vi-hart/v/snowflakes--starflakes--and-swirlflakes/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xSixUm1cXSw.mp4/xSixUm1cXSw.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/xSixUm1cXSw.mp4/xSixUm1cXSw.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xSixUm1cXSw.m3u8/xSixUm1cXSw.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8EmhGOQ-DNQ.mp4/8EmhGOQ-DNQ.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/8EmhGOQ-DNQ.mp4/8EmhGOQ-DNQ.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8EmhGOQ-DNQ.m3u8/8EmhGOQ-DNQ.m3u8" }, - "slug": "rembrandt--a-girl-at-a-window--1645", - "readable_id": "rembrandt--a-girl-at-a-window--1645" + "slug": "snowflakes--starflakes--and-swirlflakes", + "readable_id": "snowflakes--starflakes--and-swirlflakes" }, "iterative-fibonacci-function-example": { "kind": "Video", @@ -51201,7 +59577,7 @@ "duration": 126, "youtube_id": "nL6LMX8-bPY", "keywords": "precession, obliquity, elliptic, orbit, Milankovitch, Cycles", - "path": "/science/cosmology-and-astronomy/v/what-causes-precession-and-other-orbital-changes/", + "path": "/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/what-causes-precession-and-other-orbital-changes/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/nL6LMX8-bPY.mp4/nL6LMX8-bPY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/nL6LMX8-bPY.mp4/nL6LMX8-bPY.png", @@ -51217,7 +59593,7 @@ "duration": 1164, "youtube_id": "rHonltF77zI", "keywords": "gram, schmidt, orthonormal", - "path": "/math/linear-algebra/v/linear-algebra--the-gram-schmidt-process/", + "path": "/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra--the-gram-schmidt-process/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/rHonltF77zI.mp4/rHonltF77zI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rHonltF77zI.mp4/rHonltF77zI.png", @@ -51265,7 +59641,7 @@ "duration": 483, "youtube_id": "unSBFwK881s", "keywords": "Graphing, Inequalities", - "path": "/math/algebra/ck12-algebra-1/v/graphing-inequalities/", + "path": "/math/trigonometry/graphs/graphing_inequalities/v/graphing-inequalities/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/unSBFwK881s.mp4/unSBFwK881s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/unSBFwK881s.mp4/unSBFwK881s.png", @@ -51281,7 +59657,7 @@ "duration": 434, "youtube_id": "tYmMEqro8D4", "keywords": "macroeconomics, balance, of, trade", - "path": "/finance-economics/macroeconomics/v/why-current-and-capital-accounts-net-out/", + "path": "/science/macroeconomics/forex-trade-topic/current-capital-account/v/why-current-and-capital-accounts-net-out/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tYmMEqro8D4.mp4/tYmMEqro8D4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tYmMEqro8D4.mp4/tYmMEqro8D4.png", @@ -51293,11 +59669,11 @@ "solid-of-revolution--part-6": { "kind": "Video", "description": "Using the disk method around the y-axis.", - "title": "Solid of Revolution (part 6)", + "title": "Disk method: rotating x=f(y) around the y-axis", "duration": 559, "youtube_id": "F2psxMnGdUw", "keywords": "solid, revolution, volume, rotation, calculus, disk", - "path": "/math/calculus/integral-calculus/v/solid-of-revolution--part-6/", + "path": "/math/calculus/solid_revolution_topic/solid_of_revolution/v/solid-of-revolution--part-6/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/F2psxMnGdUw.mp4/F2psxMnGdUw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F2psxMnGdUw.mp4/F2psxMnGdUw.png", @@ -51309,11 +59685,11 @@ "solid-of-revolution--part-7": { "kind": "Video", "description": "Taking the revolution around something other than one of the axes.", - "title": "Solid of Revolution (part 7)", + "title": "Shell method around a non-axis line", "duration": 606, "youtube_id": "IZ8W-h764Cc", "keywords": "volume, of, revolution, rotation, calculus", - "path": "/math/calculus/integral-calculus/v/solid-of-revolution--part-7/", + "path": "/math/calculus/solid_revolution_topic/solid_of_revolution/v/solid-of-revolution--part-7/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/IZ8W-h764Cc.mp4/IZ8W-h764Cc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IZ8W-h764Cc.mp4/IZ8W-h764Cc.png", @@ -51325,11 +59701,11 @@ "solid-of-revolution--part-4": { "kind": "Video", "description": "More volumes around the x-axis.", - "title": "Solid of Revolution (part 4)", + "title": "Disc method with outer and inner function boundaries", "duration": 502, "youtube_id": "OtmjNuiTHp0", "keywords": "calculus, revolution, rotation, solid, math", - "path": "/math/calculus/integral-calculus/v/solid-of-revolution--part-4/", + "path": "/math/calculus/solid_revolution_topic/solid_of_revolution/v/solid-of-revolution--part-4/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/OtmjNuiTHp0.mp4/OtmjNuiTHp0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OtmjNuiTHp0.mp4/OtmjNuiTHp0.png", @@ -51341,11 +59717,11 @@ "solid-of-revolution--part-5": { "kind": "Video", "description": "Use the \"shell method\" to rotate about the y-axis", - "title": "Solid of Revolution (part 5)", + "title": "Shell method to rotate around y-axis", "duration": 569, "youtube_id": "NIdqkwocNuE", "keywords": "solid, volume, revolution, rotation, shell, disk, calculus", - "path": "/math/calculus/integral-calculus/v/solid-of-revolution--part-5/", + "path": "/math/calculus/solid_revolution_topic/solid_of_revolution/v/solid-of-revolution--part-5/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NIdqkwocNuE.mp4/NIdqkwocNuE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NIdqkwocNuE.mp4/NIdqkwocNuE.png", @@ -51354,30 +59730,14 @@ "slug": "solid-of-revolution--part-5", "readable_id": "solid-of-revolution--part-5" }, - 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"path": "/math/calculus/integral-calculus/v/solid-of-revolution--part-3/", + "path": "/math/calculus/solid_revolution_topic/solid_of_revolution/v/solid-of-revolution--part-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tqfU9mC2yFU.mp4/tqfU9mC2yFU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tqfU9mC2yFU.mp4/tqfU9mC2yFU.png", @@ -51405,11 +59765,11 @@ "solid-of-revolution--part-1": { "kind": "Video", "description": "Figuring out the volume of a function rotated about the x-axis.", - "title": "Solid of Revolution (part 1)", + "title": "Disc method: function rotated about x-axis", "duration": 605, "youtube_id": "R_aqSL-q6_8", "keywords": "calculus, volume, rotation", - "path": "/math/calculus/integral-calculus/v/solid-of-revolution--part-1/", + "path": "/math/calculus/solid_revolution_topic/solid_of_revolution/v/solid-of-revolution--part-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/R_aqSL-q6_8.mp4/R_aqSL-q6_8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R_aqSL-q6_8.mp4/R_aqSL-q6_8.png", @@ -51425,7 +59785,7 @@ "duration": 288, "youtube_id": "zcnnZz2pCSg", "keywords": "average, velocity", - "path": "/science/physics/mechanics/v/loop-de-loop-answer-part-2/", + "path": "/science/physics/two-dimensional-motion/centripetal-acceleration-tutoria/v/loop-de-loop-answer-part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/zcnnZz2pCSg.mp4/zcnnZz2pCSg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/zcnnZz2pCSg.mp4/zcnnZz2pCSg.png", @@ -51437,11 +59797,11 @@ "solid-of-revolution--part-8": { "kind": "Video", "description": "The last part of the problem in part 7", - "title": "Solid of Revolution (part 8)", + "title": "Shell method around a non-axis line 2", "duration": 255, "youtube_id": "4Flj9plmKGQ", "keywords": "volume, of, rotation, calculus", - "path": "/math/calculus/integral-calculus/v/solid-of-revolution--part-8/", + "path": "/math/calculus/solid_revolution_topic/solid_of_revolution/v/solid-of-revolution--part-8/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4Flj9plmKGQ.mp4/4Flj9plmKGQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4Flj9plmKGQ.mp4/4Flj9plmKGQ.png", @@ -51473,7 +59833,7 @@ "duration": 663, "youtube_id": "eUF59jCFcyQ", "keywords": "Big, Bang, Introduction", - "path": "/science/cosmology-and-astronomy/v/big-bang-introduction/", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/big-bang-introduction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/eUF59jCFcyQ.mp4/eUF59jCFcyQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eUF59jCFcyQ.mp4/eUF59jCFcyQ.png", @@ -51516,7 +59876,7 @@ }, "adding-and-simplifying-radicals": { "kind": "Video", - "description": "u16_l2_t2_we1 Adding and Simplifying Radicals", + "description": "Adding and Simplifying Radicals", "title": "Adding and Simplifying Radicals", "duration": 281, "youtube_id": "egNq4tSfi1I", @@ -51537,7 +59897,7 @@ "duration": 1178, "youtube_id": "qdf2CuMGdKs", "keywords": "rowspace, columnspace, solution", - "path": "/math/linear-algebra/v/linear-alg--rowspace-solution-to-ax-b-example/", + "path": "/math/linear-algebra/alternate_bases/othogonal_complements/v/linear-alg--rowspace-solution-to-ax-b-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qdf2CuMGdKs.mp4/qdf2CuMGdKs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qdf2CuMGdKs.mp4/qdf2CuMGdKs.png", @@ -51617,7 +59977,7 @@ "duration": 619, "youtube_id": "QQMZ1ljepWg", "keywords": "Chiral, Examples", - "path": "/science/organic-chemistry/v/chiral-examples-2/", + "path": "/science/organic-chemistry/stereochemistry-topic/chirality-r-s-system/v/chiral-examples-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QQMZ1ljepWg.mp4/QQMZ1ljepWg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QQMZ1ljepWg.mp4/QQMZ1ljepWg.png", @@ -51633,7 +59993,7 @@ "duration": 546, "youtube_id": "qhKJ1DG9kYY", "keywords": "differential, equations, laplace, transform", - "path": "/math/differential-equations/v/laplace-transform-of---l-t/", + "path": "/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-of---l-t/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qhKJ1DG9kYY.mp4/qhKJ1DG9kYY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/qhKJ1DG9kYY.mp4/qhKJ1DG9kYY.png", @@ -51649,7 +60009,7 @@ "duration": 298, "youtube_id": "Rgr1vRjxzFg", "keywords": "macroeconomics, Gross Domestic Product", - "path": "/finance-economics/macroeconomics/v/components-of-gdp/", + "path": "/science/macroeconomics/gdp-topic/GDP-components-tutorial/v/components-of-gdp/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Rgr1vRjxzFg.mp4/Rgr1vRjxzFg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Rgr1vRjxzFg.mp4/Rgr1vRjxzFg.png", @@ -51658,21 +60018,21 @@ "slug": "components-of-gdp", "readable_id": "components-of-gdp" }, - 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Beth Harris and Dr. Steven Zucker\n\nFor more: http://www.smarthistory.org/lichtensteins-rouen-cathedral-set-v.html", - "title": "Lichtenstein's Rouen Cathedral Set V", - "duration": 190, - "youtube_id": "GpwAsXrBJ-Q", - "keywords": "Lichtenstein, Rouen, Art History, Smarthistory, Pop Art", - "path": "/humanities/art-history/art-history-1960---age-of-post-colonialism/v/lichtenstein--rouen-cathedral-set-v--1969/", + "description": " Solving Logarithmic Equations", + "title": "Solving Logarithmic Equations", + "duration": 208, + "youtube_id": "oqAYqT70EBQ", + "keywords": "u18_l2_t1_we4, Solving, Logarithmic, Equations", + "path": "/math/trigonometry/exponential_and_logarithmic_func/log_functions/v/solving-logarithmic-equations_DUP_1/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GpwAsXrBJ-Q.mp4/GpwAsXrBJ-Q.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/GpwAsXrBJ-Q.mp4/GpwAsXrBJ-Q.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GpwAsXrBJ-Q.m3u8/GpwAsXrBJ-Q.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/oqAYqT70EBQ.mp4/oqAYqT70EBQ.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/oqAYqT70EBQ.mp4/oqAYqT70EBQ.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/oqAYqT70EBQ.m3u8/oqAYqT70EBQ.m3u8" }, - "slug": "lichtenstein--rouen-cathedral-set-v--1969", - "readable_id": "lichtenstein--rouen-cathedral-set-v--1969" + "slug": "solving-logarithmic-equations_DUP_1", + "readable_id": "solving-logarithmic-equations_DUP_1" }, "plate-tectonics----evidence-of-plate-movement": { "kind": "Video", @@ -51681,7 +60041,7 @@ "duration": 798, "youtube_id": "6EdsBabSZ4g", "keywords": "Plate, Tectonics, Evidence, of, movement, magnetic, field, marquee", - "path": "/science/cosmology-and-astronomy/v/plate-tectonics----evidence-of-plate-movement/", + "path": "/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plate-tectonics----evidence-of-plate-movement/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6EdsBabSZ4g.mp4/6EdsBabSZ4g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/6EdsBabSZ4g.mp4/6EdsBabSZ4g.png", @@ -51690,6 +60050,22 @@ "slug": "plate-tectonics----evidence-of-plate-movement", "readable_id": "plate-tectonics----evidence-of-plate-movement" }, + "attach-bit-zee-s-digital-camera": { + "kind": "Video", + "description": "In this video we show you how to attach Bit-zee's camera and route the wires", + "title": "18. Attaching Bit-zee's digital camera", + "duration": 205, + "youtube_id": "8GhjZn2W8ns", + "keywords": "connect a digital camera, hack, make, maker, connections", + "path": "/science/projects/Bit-zee/v/attach-bit-zee-s-digital-camera/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8GhjZn2W8ns.mp4/8GhjZn2W8ns.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/8GhjZn2W8ns.mp4/8GhjZn2W8ns.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8GhjZn2W8ns.m3u8/8GhjZn2W8ns.m3u8" + }, + "slug": "attach-bit-zee-s-digital-camera", + "readable_id": "attach-bit-zee-s-digital-camera" + }, "backwardation-bullish-or-bearish": { "kind": "Video", "description": "Thinking about why backwardation in commodities markets is bullish", @@ -51697,7 +60073,7 @@ "duration": 206, "youtube_id": "1CxRVVGGNJU", "keywords": "finance, gold, oil, silver", - "path": "/finance-economics/core-finance/v/backwardation-bullish-or-bearish/", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/backwardation-bullish-or-bearish/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1CxRVVGGNJU.mp4/1CxRVVGGNJU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1CxRVVGGNJU.mp4/1CxRVVGGNJU.png", @@ -51713,7 +60089,7 @@ "duration": 401, "youtube_id": "UhIwMAhZpCo", "keywords": "Lifecycle, of, Massive, Stars", - "path": "/science/cosmology-and-astronomy/v/lifecycle-of-massive-stars/", + "path": "/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/lifecycle-of-massive-stars/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/UhIwMAhZpCo.mp4/UhIwMAhZpCo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UhIwMAhZpCo.mp4/UhIwMAhZpCo.png", @@ -51724,12 +60100,12 @@ }, "x--and-y-intercepts": { "kind": "Video", - "description": "U04_L1_T2_we1 : X and Y intercepts", + "description": "X and Y intercepts", "title": "X and Y intercepts", "duration": 248, "youtube_id": "xGmef7lFc5w", "keywords": "U04_L1_T2_we1, and, intercepts, CC_39336_F-IF_4", - "path": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/v/x--and-y-intercepts/", + "path": "/math/algebra/linear-equations-and-inequalitie/graphing_with_intercepts/v/x--and-y-intercepts/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xGmef7lFc5w.mp4/xGmef7lFc5w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xGmef7lFc5w.mp4/xGmef7lFc5w.png", @@ -51761,7 +60137,7 @@ "duration": 312, "youtube_id": "NIG3l8oWKYE", "keywords": "trig, graph, sine, cosine, period, amplitude, CC_39336_F-IF_7_e, CC_39336_F-TF_5", - 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"path": "/math/algebra/polynomials/v/u09-l2-t1-we1-factoring-special-products-1/", + "path": "/math/algebra/quadratics/factoring_quadratics/v/u09-l2-t1-we1-factoring-special-products-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XuwldEyWjH0.mp4/XuwldEyWjH0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XuwldEyWjH0.mp4/XuwldEyWjH0.png", @@ -51809,7 +60185,7 @@ "duration": 531, "youtube_id": "IYS4Bd9F3LA", "keywords": "physics, mechanics, projectile, motion", - "path": "/science/physics/mechanics/v/projectile-height-given-time/", + "path": "/science/physics/one-dimensional-motion/kinematic_formulas/v/projectile-height-given-time/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/IYS4Bd9F3LA.mp4/IYS4Bd9F3LA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/IYS4Bd9F3LA.mp4/IYS4Bd9F3LA.png", @@ -51857,7 +60233,7 @@ "duration": 70, "youtube_id": "OU9sWHk_dlw", "keywords": "", - "path": "/math/algebra/algebra-matrices/v/finding-the-determinant-of-a-2x2-matrix/", + "path": "/math/algebra/algebra-matrices/inverting_matrices/v/finding-the-determinant-of-a-2x2-matrix/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/OU9sWHk_dlw.mp4/OU9sWHk_dlw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/OU9sWHk_dlw.mp4/OU9sWHk_dlw.png", @@ -51916,12 +60292,12 @@ }, "factoring-and-the-distributive-property": { "kind": "Video", - "description": "U09_L1_T1_we1 Factoring and the Distributive Property", + "description": "Factoring and the Distributive Property", "title": "Factoring and the Distributive Property", "duration": 185, "youtube_id": "auQU-9KNG74", "keywords": "U09_L1_T1_we1, Factoring, and, the, Distributive, Property, CC_8_EE_7_b, CC_39336_A-SSE_1_a, CC_39336_A-SSE_2", - "path": "/math/algebra/polynomials/v/factoring-and-the-distributive-property/", + "path": "/math/algebra/polynomials/multiplying_polynomials/v/factoring-and-the-distributive-property/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/auQU-9KNG74.mp4/auQU-9KNG74.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/auQU-9KNG74.mp4/auQU-9KNG74.png", @@ -51937,7 +60313,7 @@ "duration": 830, "youtube_id": "tuVd355R-OQ", "keywords": "Two, Step, Equations, CC_39336_A-REI_3", - "path": "/math/algebra/ck12-algebra-1/v/two-step-equations/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/two-step-equations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tuVd355R-OQ.mp4/tuVd355R-OQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tuVd355R-OQ.mp4/tuVd355R-OQ.png", @@ -51969,7 +60345,7 @@ "duration": 862, "youtube_id": "IkmM4CPnqF0", "keywords": "Newman, Projections", - 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This video was sponsored by Visa, but I had complete editorial freedom as to its contents.", @@ -52081,7 +60473,7 @@ "duration": 802, "youtube_id": "9jGufOGo88A", "keywords": "bankruptcy, 22, personal", - "path": "/finance-economics/core-finance/v/personal-bankruptcy---chapters-7-and-13/", + "path": "/science/core-finance/interest-tutorial/personal-bankruptcy-tut/v/personal-bankruptcy---chapters-7-and-13/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9jGufOGo88A.mp4/9jGufOGo88A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9jGufOGo88A.mp4/9jGufOGo88A.png", @@ -52090,21 +60482,21 @@ "slug": "personal-bankruptcy---chapters-7-and-13", "readable_id": "personal-bankruptcy---chapters-7-and-13" }, - "linear--quadratic--and-exponential-models": { + "inflation--deflation---capacity-utilization-2": { "kind": "Video", - "description": "Linear, Quadratic, and Exponential Models", - "title": "Linear, Quadratic, and Exponential Models", - "duration": 495, - "youtube_id": "CxEFOozrMSE", - 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"path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/simple-equations/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/simple-equations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9Ek61w1LxSc.mp4/9Ek61w1LxSc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9Ek61w1LxSc.mp4/9Ek61w1LxSc.png", @@ -52193,7 +60585,7 @@ "duration": 717, "youtube_id": "dOr0NKyD31Q", "keywords": "", - "path": "/math/probability/v/discrete-and-continuous-random-variables/", + "path": "/math/probability/random-variables-topic/random_variables_prob_dist/v/discrete-and-continuous-random-variables/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dOr0NKyD31Q.mp4/dOr0NKyD31Q.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dOr0NKyD31Q.mp4/dOr0NKyD31Q.png", @@ -52204,7 +60596,7 @@ }, "evaluating-expressions-with-two-variables": { "kind": "Video", - "description": "u09_l1_t1_we2 Evaluating Expressions with Two Variables", + "description": "Evaluating Expressions with Two Variables", "title": "Example: Evaluating expressions with 2 variables", "duration": 106, "youtube_id": "BXHNzUaIRR0", @@ -52225,7 +60617,7 @@ "duration": 727, "youtube_id": "roap32sTgPk", "keywords": "fed, bailout, paulsen, bernanke, credit, crunch, lehman, aig", - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Umbilical vessels and the Ductus Venosus", + "duration": 753, + "youtube_id": "XDF2QyQtd_Q", + "keywords": "", + "path": "/science/healthcare-and-medicine/fetal-circulation/v/umbilical-vessels-and-the-ductus-venosus/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/eoJGBr-tJXo.mp4/eoJGBr-tJXo.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/eoJGBr-tJXo.mp4/eoJGBr-tJXo.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/eoJGBr-tJXo.m3u8/eoJGBr-tJXo.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XDF2QyQtd_Q.mp4/XDF2QyQtd_Q.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/XDF2QyQtd_Q.mp4/XDF2QyQtd_Q.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XDF2QyQtd_Q.m3u8/XDF2QyQtd_Q.m3u8" }, - "slug": "2-d-divergence-theorem", - "readable_id": "2-d-divergence-theorem" + "slug": "umbilical-vessels-and-the-ductus-venosus", + "readable_id": "umbilical-vessels-and-the-ductus-venosus" }, "us-history-overview-3---wwii-to-vietnam": { "kind": "Video", @@ -52289,7 +60681,7 @@ "duration": 499, "youtube_id": "gYv8sttBIqs", "keywords": "linear, algebra, determinant", - "path": "/math/linear-algebra/v/linear-algebra--duplicate-row-determinant/", + "path": "/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra--duplicate-row-determinant/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gYv8sttBIqs.mp4/gYv8sttBIqs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gYv8sttBIqs.mp4/gYv8sttBIqs.png", @@ -52337,7 +60729,7 @@ "duration": 591, "youtube_id": "3mier94pbnU", "keywords": "physics, potential, kinetic, energy, work", - "path": "/science/physics/mechanics/v/work-and-energy--part-2/", + "path": "/science/physics/work-and-energy/work-and-energy-tutorial/v/work-and-energy--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3mier94pbnU.mp4/3mier94pbnU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3mier94pbnU.mp4/3mier94pbnU.png", @@ -52353,7 +60745,7 @@ "duration": 671, "youtube_id": "1CMDS4-PKKQ", "keywords": "partial, derivative", - "path": "/math/calculus/multivariable-calculus/v/partial-derivatives/", + "path": "/math/calculus/partial_derivatives_topic/partial_derivatives/v/partial-derivatives/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1CMDS4-PKKQ.mp4/1CMDS4-PKKQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1CMDS4-PKKQ.mp4/1CMDS4-PKKQ.png", @@ -52364,7 +60756,7 @@ }, "absolute-value-equation-example-2": { "kind": "Video", - "description": "U02_L2_T2_we2 : Example of solving an absolute value equation", + "description": "Example of solving an absolute value equation", "title": "Absolute Value Equation Example 2", "duration": 392, "youtube_id": "jaizi_1IB5c", @@ -52380,7 +60772,7 @@ }, "solving-radical-equations-3": { "kind": "Video", - "description": "U07_L3_T2_we3 Solving Radical Equations 3", + "description": "Solving Radical Equations 3", "title": "Solving Radical Equations 3", "duration": 262, "youtube_id": "g6nGcnVB8BM", @@ -52396,7 +60788,7 @@ }, "solving-radical-equations-2": { "kind": "Video", - "description": "U07_L3_T2_we2 Solving Radical Equations 2", + "description": "Solving Radical Equations 2", "title": "Solving Radical Equations 2", "duration": 214, "youtube_id": "b6WtwQddAcY", @@ -52412,7 +60804,7 @@ }, "solving-radical-equations-1": { "kind": "Video", - "description": "U07_L3_T2_we1 Solving Radical Equations 1", + "description": "Solving Radical Equations 1", "title": "Solving Radical Equations 1", "duration": 135, "youtube_id": "y4C81qAa3pY", @@ -52449,7 +60841,7 @@ "duration": 615, "youtube_id": "06z7Q8TWPyU", "keywords": "Cosmic, Background, Radiation, Microwave, redshift, big, bang", - "path": "/science/cosmology-and-astronomy/v/cosmic-background-radiation-2/", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/cosmic-background-radiation-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/06z7Q8TWPyU.mp4/06z7Q8TWPyU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/06z7Q8TWPyU.mp4/06z7Q8TWPyU.png", @@ -52458,22 +60850,6 @@ "slug": "cosmic-background-radiation-2", "readable_id": "cosmic-background-radiation-2" }, - "solving-rational-equations": { - "kind": "Video", - "description": "Solving Rational Equations", - "title": "Solving Rational Equations", - "duration": 777, - "youtube_id": "6eqgIZyXgK8", - "keywords": "Solving, Rational, Equations, CC_39336_A-REI_2", - "path": "/math/algebra/ck12-algebra-1/v/solving-rational-equations/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6eqgIZyXgK8.mp4/6eqgIZyXgK8.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/6eqgIZyXgK8.mp4/6eqgIZyXgK8.png", - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", @@ -52497,7 +60873,7 @@ "duration": 465, "youtube_id": "sBldw95xMD4", "keywords": "vector, valued, function, line, integral", - "path": "/math/calculus/multivariable-calculus/v/position-vector-valued-functions/", + "path": "/math/calculus/line_integrals_topic/position_vector_functions/v/position-vector-valued-functions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/sBldw95xMD4.mp4/sBldw95xMD4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/sBldw95xMD4.mp4/sBldw95xMD4.png", @@ -52524,7 +60900,7 @@ }, "simplifying-expressions-with-exponents": { "kind": "Video", - "description": "U07_L1_T3_we1 Simplifying Expressions with Exponents", + "description": "Simplifying Expressions with Exponents", "title": "Simplifying Expressions with Exponents", "duration": 130, "youtube_id": "tdO4UOLW9d8", @@ -52545,7 +60921,7 @@ "duration": 292, "youtube_id": "bQ-KR3clFgs", "keywords": "dividing, negative, numbers", - "path": "/math/arithmetic/negative-numbers/v/dividing-positive-and-negative-numbers/", + "path": "/math/arithmetic/absolute-value/mult_div_negatives/v/dividing-positive-and-negative-numbers/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/bQ-KR3clFgs.mp4/bQ-KR3clFgs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/bQ-KR3clFgs.mp4/bQ-KR3clFgs.png", @@ -52556,12 +60932,12 @@ }, "finding-common-denominators": { "kind": "Video", - "description": "U02_l3_t1_we7 Finding Common Denominators", + "description": "Finding Common Denominators", "title": "Finding Common Denominators", "duration": 282, "youtube_id": "lxjmR4pYIVU", "keywords": "U02_l3_t1_we7, Finding, Common, Denominators", - "path": "/math/arithmetic/fractions/v/finding-common-denominators/", + "path": "/math/arithmetic/fractions/Equivalent_fractions/v/finding-common-denominators/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lxjmR4pYIVU.mp4/lxjmR4pYIVU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lxjmR4pYIVU.mp4/lxjmR4pYIVU.png", @@ -52577,7 +60953,7 @@ "duration": 627, "youtube_id": "PNXozoJWsWc", "keywords": "Inequalities, Using, Multiplication, and, Division, CC_39336_A-REI_3", - "path": "/math/algebra/ck12-algebra-1/v/inequalities-using-multiplication-and-division/", + "path": "/math/algebra/linear_inequalities/inequalities/v/inequalities-using-multiplication-and-division/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PNXozoJWsWc.mp4/PNXozoJWsWc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PNXozoJWsWc.mp4/PNXozoJWsWc.png", @@ -52589,11 +60965,11 @@ "variable-expressions": { "kind": "Video", "description": null, - "title": "Variable Expressions", + "title": "Examples of evaluating variable expressions", "duration": 747, "youtube_id": "aoXUWSwiDzE", "keywords": "Variable, Expressions, CC_6_EE_2, CC_6_EE_2_c", - "path": "/math/algebra/ck12-algebra-1/v/variable-expressions/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/variable-and-expressions/v/variable-expressions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/aoXUWSwiDzE.mp4/aoXUWSwiDzE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/aoXUWSwiDzE.mp4/aoXUWSwiDzE.png", @@ -52609,7 +60985,7 @@ "duration": 784, "youtube_id": "QTcSBB3uVP0", "keywords": "subspace, projection", - "path": "/math/linear-algebra/v/linear-algebra--subspace-projection-matrix-example/", + "path": "/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra--subspace-projection-matrix-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QTcSBB3uVP0.mp4/QTcSBB3uVP0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QTcSBB3uVP0.mp4/QTcSBB3uVP0.png", @@ -52620,12 +60996,12 @@ }, "number-sets": { "kind": "Video", - "description": "u9_l1_t3_we3 Number Sets", + "description": "Number Sets", "title": "Number Sets", "duration": 317, "youtube_id": "Ksu1lo312BM", "keywords": "u9_l1_t3_we3, Number, Sets, CC_6_NS_6, CC_6_NS_6_c, CC_8_NS_1", - "path": "/math/algebra/complex-numbers/v/number-sets/", + "path": "/math/arithmetic/fractions/number_sets/v/number-sets/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Ksu1lo312BM.mp4/Ksu1lo312BM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Ksu1lo312BM.mp4/Ksu1lo312BM.png", @@ -52634,30 +61010,30 @@ "slug": "number-sets", "readable_id": "number-sets" }, - "meet-the-placenta": { + "cross-product-and-torque": { "kind": "Video", - "description": "Learn how the needs of the fetus are met by the placenta, which is a special organ that belongs to both the mother and the fetus! Rishi is a pediatric infectious disease physician and works at Khan Academy.", - "title": "Meet the Placenta!", - "duration": 749, - "youtube_id": "VuTJPciLcnM", - "keywords": "", - "path": "/science/healthcare-and-medicine/fetal-circulation/v/meet-the-placenta/", + "description": "The cross product and the direction of torque.", + "title": "Cross Product and Torque", + "duration": 600, + "youtube_id": "s38l6nmTrvM", + "keywords": "vector, cross, product, torque", + "path": "/science/physics/electricity-and-magnetism/v/cross-product-and-torque/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VuTJPciLcnM.mp4/VuTJPciLcnM.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/VuTJPciLcnM.mp4/VuTJPciLcnM.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VuTJPciLcnM.m3u8/VuTJPciLcnM.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/s38l6nmTrvM.mp4/s38l6nmTrvM.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/s38l6nmTrvM.mp4/s38l6nmTrvM.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/s38l6nmTrvM.m3u8/s38l6nmTrvM.m3u8" }, - "slug": "meet-the-placenta", - "readable_id": "meet-the-placenta" + "slug": "cross-product-and-torque", + "readable_id": "cross-product-and-torque" }, "reading-box-and-whisker-plots": { "kind": "Video", - "description": "u08_l2_t1_we4 Reading Box-and-Whisker Plots", + "description": "Reading Box-and-Whisker Plots", "title": "Reading Box-and-Whisker Plots", "duration": 198, "youtube_id": "b2C9I8HuCe4", "keywords": "u08_l2_t1_we4, Reading, Box-and-Whisker, Plots", - "path": "/math/statistics/v/reading-box-and-whisker-plots/", + "path": "/math/probability/descriptive-statistics/Box-and-whisker plots/v/reading-box-and-whisker-plots/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/b2C9I8HuCe4.mp4/b2C9I8HuCe4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/b2C9I8HuCe4.mp4/b2C9I8HuCe4.png", @@ -52684,12 +61060,12 @@ }, "equivalent-fractions-example": { "kind": "Video", - "description": "U02_L1_T4_we1 Equivalent Fractions", + "description": "Equivalent Fractions", "title": "Equivalent Fractions Example", "duration": 290, "youtube_id": "0JW9P_T4P_Y", "keywords": "U02_L1_T4_we1, Equivalent, Fractions", - "path": "/math/arithmetic/fractions/v/equivalent-fractions-example/", + "path": "/math/arithmetic/fractions/Equivalent_fractions/v/equivalent-fractions-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/0JW9P_T4P_Y.mp4/0JW9P_T4P_Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0JW9P_T4P_Y.mp4/0JW9P_T4P_Y.png", @@ -52705,7 +61081,7 @@ "duration": 220, "youtube_id": "hZvjH3Az87A", "keywords": "Balance, Sheet, and, Income, Statement, Relationship", - "path": "/finance-economics/core-finance/v/balance-sheet-and-income-statement-relationship/", + "path": "/science/core-finance/accounting-and-financial-stateme/financial-statements-tutorial/v/balance-sheet-and-income-statement-relationship/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/hZvjH3Az87A.mp4/hZvjH3Az87A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hZvjH3Az87A.mp4/hZvjH3Az87A.png", @@ -52721,7 +61097,7 @@ "duration": 563, "youtube_id": "wblW_M_HVQ8", "keywords": "proof, algebra, induction", - "path": "/math/algebra/algebra-functions/v/proof-by-induction/", + "path": "/math/trigonometry/seq_induction/proof_by_induction/v/proof-by-induction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wblW_M_HVQ8.mp4/wblW_M_HVQ8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wblW_M_HVQ8.mp4/wblW_M_HVQ8.png", @@ -52732,7 +61108,7 @@ }, "understanding-exponents-2": { "kind": "Video", - "description": "U01_L5_T1_we2 Understanding Exponents 2", + "description": "Understanding Exponents 2", "title": "Understanding Exponents 2", "duration": 75, "youtube_id": "5qfOViJda_g", @@ -52769,7 +61145,7 @@ "duration": 978, "youtube_id": "O3HxPDH-s7w", "keywords": "napoleon, prussia, russia", - "path": "/humanities/history/euro-hist/v/napoleon-and-the-war-of-the-fourth-coalition/", + "path": "/humanities/history/euro-hist/napoleon-bonaparte/v/napoleon-and-the-war-of-the-fourth-coalition/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/O3HxPDH-s7w.mp4/O3HxPDH-s7w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O3HxPDH-s7w.mp4/O3HxPDH-s7w.png", @@ -52801,7 +61177,7 @@ "duration": 210, "youtube_id": "3o82OwR78wU", "keywords": "options, open, interest, expiration", - "path": "/finance-economics/core-finance/v/actual-option-quotes/", + "path": "/science/core-finance/derivative-securities/put-call-options/v/actual-option-quotes/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3o82OwR78wU.mp4/3o82OwR78wU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/3o82OwR78wU.mp4/3o82OwR78wU.png", @@ -52810,21 +61186,21 @@ "slug": "actual-option-quotes", "readable_id": "actual-option-quotes" }, - "direct-variation-1": { + "calculating-i-raised-to-arbitrary-exponents": { "kind": "Video", - "description": "U03_L2_T3_we1 : Direct Variation 1", - "title": "Direct Variation 1", - "duration": 219, - "youtube_id": "rSadG6EtJmY", - "keywords": "Direct, Variation, CC_8_F_1, CC_8_F_4, CC_8_F_5", - "path": "/math/algebra/algebra-functions/v/direct-variation-1/", + "description": "Calculating i raised to arbitrarily high exponents", + "title": "Calculating i Raised to Arbitrary Exponents", + "duration": 380, + "youtube_id": "QiwfF83NWNA", + "keywords": "complex, imaginary, numbers", + "path": "/math/trigonometry/imaginary_complex_precalc/i_precalc/v/calculating-i-raised-to-arbitrary-exponents/", "download_urls": { - 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"visual-pythagorean-theorem-proof": { + "delacroix--the-death-of-sardanapalus--1827": { "kind": "Video", - "description": "Visual Pythagorean Theorem Proof - some basic geometry required", - "title": "Visual Pythagorean Theorem Proof", - "duration": 530, - "youtube_id": "r382kfkqAF4", - "keywords": "Visual, Pythagorean, Theorem, Proof, CC_8_G_6", - "path": "/math/algebra/ck12-algebra-1/v/visual-pythagorean-theorem-proof/", + "description": "Eug\u00e8ne Delacroix, The Death of Sardanapalus, 1827, oil on canvas, 12 ft 10 in x 16 ft 3 in. (3.92 x 4.96m) (Mus\u00e9e du Louvre, Paris)\n\nSpeakers: Drs. Beth Harris and Steven Zucker", + "title": "Delacroix's The Death of Sardanapalus", + "duration": 223, + "youtube_id": "iDBJK0y8vb0", + "keywords": "Delacroix, Sardanapalus, Romanticism, Louvre, Eug\u00e8ne Delacroix", + "path": "/humanities/art-history/art-history-1800-1848-industrial-revolution-i/v/delacroix--the-death-of-sardanapalus--1827/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/r382kfkqAF4.mp4/r382kfkqAF4.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/r382kfkqAF4.mp4/r382kfkqAF4.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r382kfkqAF4.m3u8/r382kfkqAF4.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/iDBJK0y8vb0.mp4/iDBJK0y8vb0.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/iDBJK0y8vb0.mp4/iDBJK0y8vb0.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iDBJK0y8vb0.m3u8/iDBJK0y8vb0.m3u8" }, - "slug": "visual-pythagorean-theorem-proof", - "readable_id": "visual-pythagorean-theorem-proof" + "slug": "delacroix--the-death-of-sardanapalus--1827", + "readable_id": "delacroix--the-death-of-sardanapalus--1827" }, "gradient-1": { "kind": "Video", @@ -52865,7 +61241,7 @@ "duration": 585, "youtube_id": "U7HQ_G_N6vo", "keywords": "vector, gradient", - "path": "/math/calculus/multivariable-calculus/v/gradient-1/", + "path": "/math/calculus/partial_derivatives_topic/gradient/v/gradient-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/U7HQ_G_N6vo.mp4/U7HQ_G_N6vo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/U7HQ_G_N6vo.mp4/U7HQ_G_N6vo.png", @@ -52909,11 +61285,11 @@ "adding-integers-with-different-signs": { "kind": "Video", "description": "Adding integers with different signs", - "title": "Adding integers with different signs", + "title": "Example: Adding integers with different signs", "duration": 332, "youtube_id": "NrVvu7cM8_o", "keywords": "U09_L2_T1_we2, Adding, integers, with, different, signs, CC_7_NS_1_b, CC_7_NS_1_c", - "path": "/math/arithmetic/negative-numbers/v/adding-integers-with-different-signs/", + "path": "/math/arithmetic/absolute-value/adding_subtracting_negatives/v/adding-integers-with-different-signs/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/NrVvu7cM8_o.mp4/NrVvu7cM8_o.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/NrVvu7cM8_o.mp4/NrVvu7cM8_o.png", @@ -52938,21 +61314,37 @@ "slug": "tienne-jules-marey---l--homme-machine", "readable_id": "tienne-jules-marey---l--homme-machine" }, - "gibbs-free-energy-and-spontaneity": { + "sn2-mechanism-and-stereochemistry": { "kind": "Video", - "description": "Intuition behind why spontaneity is driven by enthalpy, entropy and temperature. 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"slug": "gibbs-free-energy-and-spontaneity", - "readable_id": "gibbs-free-energy-and-spontaneity" + "slug": "sn2-mechanism-and-stereochemistry", + "readable_id": "sn2-mechanism-and-stereochemistry" + }, + "Example 4: Solving a quadratic equation by factoring": { + "kind": "Video", + "description": " Applications Problem Factoring Quadratics", + "title": "Example 4: Solving a quadratic equation by factoring", + "duration": 501, + "youtube_id": "STcsaKuW-24", + "keywords": "u12_l3_t1_we3, Applications, Problem, Factoring, Quadratics, CC_39336_A-REI_4, CC_39336_A-SSE_3_a", + "path": "/math/algebra/quadratics/factoring_quadratics/v/Example 4: Solving a quadratic equation by factoring/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/STcsaKuW-24.mp4/STcsaKuW-24.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/STcsaKuW-24.mp4/STcsaKuW-24.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/STcsaKuW-24.m3u8/STcsaKuW-24.m3u8" + }, + "slug": "Example 4: Solving a quadratic equation by factoring", + "readable_id": "Example 4: Solving a quadratic equation by factoring" }, "example--calculator-to-evaluate-a-trig-function": { "kind": "Video", @@ -52961,7 +61353,7 @@ "duration": 187, "youtube_id": "fIeHfVQhx-c", "keywords": "sin calculator csc sine cosecant", - "path": "/math/trigonometry/v/example--calculator-to-evaluate-a-trig-function/", + "path": "/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example--calculator-to-evaluate-a-trig-function/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/fIeHfVQhx-c.mp4/fIeHfVQhx-c.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/fIeHfVQhx-c.mp4/fIeHfVQhx-c.png", @@ -52993,7 +61385,7 @@ "duration": 424, "youtube_id": "l5VbdqRjTXc", "keywords": "trigonometry sine cosine sin cos tan", - "path": "/math/trigonometry/v/example--trig-to-solve-the-sides-and-angles-of-a-right-triangle/", + "path": "/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example--trig-to-solve-the-sides-and-angles-of-a-right-triangle/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/l5VbdqRjTXc.mp4/l5VbdqRjTXc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/l5VbdqRjTXc.mp4/l5VbdqRjTXc.png", @@ -53002,22 +61394,6 @@ "slug": "example--trig-to-solve-the-sides-and-angles-of-a-right-triangle", "readable_id": "example--trig-to-solve-the-sides-and-angles-of-a-right-triangle" }, - 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"path": "/math/statistics/v/bernoulli-distribution-mean-and-variance-formulas/", + "path": "/math/probability/statistics-inferential/margin-of-error/v/bernoulli-distribution-mean-and-variance-formulas/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ry81_iSHt6E.mp4/ry81_iSHt6E.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ry81_iSHt6E.mp4/ry81_iSHt6E.png", @@ -53034,6 +61410,22 @@ "slug": "bernoulli-distribution-mean-and-variance-formulas", "readable_id": "bernoulli-distribution-mean-and-variance-formulas" }, + "sat-prep--test-4-section-8-part-1": { + "kind": "Video", + "description": "Problems 1-7 starting on page 611", + "title": "SAT Prep: Test 4 Section 8 Part 1", + "duration": 541, + "youtube_id": "Zkeq0j9CKcc", + "keywords": "SAT, Prep, math, examples, practice", + "path": "/test-prep/sat-math/v/sat-prep--test-4-section-8-part-1/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Zkeq0j9CKcc.mp4/Zkeq0j9CKcc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Zkeq0j9CKcc.mp4/Zkeq0j9CKcc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Zkeq0j9CKcc.m3u8/Zkeq0j9CKcc.m3u8" + }, + "slug": "sat-prep--test-4-section-8-part-1", + "readable_id": "sat-prep--test-4-section-8-part-1" + }, "permutations-and-combinations-1": { "kind": "Video", "description": "Thinking about how many ways you can pick four colors from a group of 6", @@ -53041,7 +61433,7 @@ "duration": 225, "youtube_id": "oQpKtm5TtxU", "keywords": "U12_L2_T3_we1, Permutations, and, Combinations", - "path": "/math/probability/v/permutations-and-combinations-1/", + "path": "/math/probability/probability-and-combinatorics-topic/permutations_and_combinations/v/permutations-and-combinations-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/oQpKtm5TtxU.mp4/oQpKtm5TtxU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/oQpKtm5TtxU.mp4/oQpKtm5TtxU.png", @@ -53057,7 +61449,7 @@ "duration": 139, "youtube_id": "v9NLtiVt3XY", "keywords": "U12_L2_T3_we2, Permutations, and, Combinations", - "path": "/math/probability/v/permutations-and-combinations-2/", + "path": "/math/probability/probability-and-combinatorics-topic/permutations_and_combinations/v/permutations-and-combinations-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/v9NLtiVt3XY.mp4/v9NLtiVt3XY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/v9NLtiVt3XY.mp4/v9NLtiVt3XY.png", @@ -53073,7 +61465,7 @@ "duration": 822, "youtube_id": "Iqws-qzyZwc", "keywords": "SlopeAndRateOfChange, CC_8_EE_6, CC_39336_F-IF_6", - "path": "/math/algebra/ck12-algebra-1/v/slope-and-rate-of-change/", + "path": "/math/trigonometry/graphs/slope_of_line/v/slope-and-rate-of-change/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Iqws-qzyZwc.mp4/Iqws-qzyZwc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Iqws-qzyZwc.mp4/Iqws-qzyZwc.png", @@ -53084,7 +61476,7 @@ }, "evaluating-exponential-expressions-3": { "kind": "Video", - "description": "u11_l1_t1_we3 Evaluating exponential expressions 3", + "description": " Evaluating exponential expressions 3", "title": "Evaluating exponential expressions 3", "duration": 266, "youtube_id": "U8kmaUXaPJY", @@ -53100,12 +61492,12 @@ }, "systems-of-three-variables": { "kind": "Video", - "description": "u14_l3_t1_we1 Systems of Three Variables", + "description": "Systems of Three Variables", "title": "Systems of Three Variables", "duration": 503, "youtube_id": "pANZpI9sOYg", "keywords": "u14_l3_t1_we1, Systems, of, Three, Variables, CC_39336_A-REI_6", - "path": "/math/algebra/systems-of-eq-and-ineq/fancier-systems/v/systems-of-three-variables/", + "path": "/math/trigonometry/systems_eq_ineq/fancier_systems_precalc/v/systems-of-three-variables/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/pANZpI9sOYg.mp4/pANZpI9sOYg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pANZpI9sOYg.mp4/pANZpI9sOYg.png", @@ -53114,21 +61506,21 @@ "slug": "systems-of-three-variables", "readable_id": "systems-of-three-variables" }, - "attaching-bit-zee-s-prototype-board": { + "financial-crisis-in-thailand-caused-by-speculative-attack": { "kind": "Video", - "description": "In this video we attach Bit-zee's bread board", - "title": "22. Attaching Bit-zee's prototype board", - "duration": 187, - "youtube_id": "DRz9B6SHWQ4", - "keywords": "bread board, prototype board, connections, bit-zee", - "path": "/science/projects/Bit-zee/v/attaching-bit-zee-s-prototype-board/", + "description": "How a currency crisis in Thailand led to a banking crisis in the 1990s", + "title": "Financial Crisis in Thailand Caused by Speculative Attack", + "duration": 393, + "youtube_id": "lA3sjWwu5-s", + "keywords": "thailand, macroeconomics, currency", + "path": "/science/macroeconomics/forex-trade-topic/currency-reserves/v/financial-crisis-in-thailand-caused-by-speculative-attack/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/DRz9B6SHWQ4.mp4/DRz9B6SHWQ4.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/DRz9B6SHWQ4.mp4/DRz9B6SHWQ4.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DRz9B6SHWQ4.m3u8/DRz9B6SHWQ4.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lA3sjWwu5-s.mp4/lA3sjWwu5-s.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/lA3sjWwu5-s.mp4/lA3sjWwu5-s.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lA3sjWwu5-s.m3u8/lA3sjWwu5-s.m3u8" }, - "slug": "attaching-bit-zee-s-prototype-board", - "readable_id": "attaching-bit-zee-s-prototype-board" + "slug": "financial-crisis-in-thailand-caused-by-speculative-attack", + "readable_id": "financial-crisis-in-thailand-caused-by-speculative-attack" }, "introduction-to-kinetics": { "kind": "Video", @@ -53146,21 +61538,21 @@ "slug": "introduction-to-kinetics", "readable_id": "introduction-to-kinetics" }, - "bit-zee-planning-and-propulsion": { + "deflationary-spiral": { "kind": "Video", - "description": "The video covers the first stages of idea generation for Bit-zee and how to make Bit-zee move.", - "title": "4. Bit-zee planning and propulsion", - "duration": 503, - "youtube_id": "Kq0Er6JBMmc", - "keywords": "Planning, brainstorming, voltage, motor, propulsion techniques, key components, robotics", - "path": "/science/projects/Bit-zee/v/bit-zee-planning-and-propulsion/", + "description": "Basics of a deflationary spiral", + "title": "Deflationary Spiral", + "duration": 231, + "youtube_id": "snX4Wf7PGts", + "keywords": "finance, depression", + "path": "/science/macroeconomics/inflation-topic/deflation-inflation-scenarios-tutorial/v/deflationary-spiral/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kq0Er6JBMmc.mp4/Kq0Er6JBMmc.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/Kq0Er6JBMmc.mp4/Kq0Er6JBMmc.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kq0Er6JBMmc.m3u8/Kq0Er6JBMmc.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/snX4Wf7PGts.mp4/snX4Wf7PGts.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/snX4Wf7PGts.mp4/snX4Wf7PGts.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/snX4Wf7PGts.m3u8/snX4Wf7PGts.m3u8" }, - "slug": "bit-zee-planning-and-propulsion", - "readable_id": "bit-zee-planning-and-propulsion" + "slug": "deflationary-spiral", + "readable_id": "deflationary-spiral" }, "atp--adenosine-triphosphate": { "kind": "Video", @@ -53185,7 +61577,7 @@ "duration": 764, "youtube_id": "vA-55wZtLeE", "keywords": "Solving, Systems, of, Equations, by, Elimination, CC_8_EE_8_b, CC_39336_A-REI_5, CC_39336_A-REI_6", - "path": "/math/algebra/ck12-algebra-1/v/solving-systems-of-equations-by-elimination/", + "path": "/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations/v/solving-systems-of-equations-by-elimination/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/vA-55wZtLeE.mp4/vA-55wZtLeE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/vA-55wZtLeE.mp4/vA-55wZtLeE.png", @@ -53201,7 +61593,7 @@ "duration": 554, "youtube_id": "y19jYxzY8Y8", "keywords": "algebra, quadratic, equation, CC_39336_A-REI_4, CC_39336_A-REI_4_b", - "path": "/math/algebra/quadratics/v/quadratic-equation-part-2/", + "path": "/math/algebra/quadratics/quadratic_odds_ends/v/quadratic-equation-part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/y19jYxzY8Y8.mp4/y19jYxzY8Y8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y19jYxzY8Y8.mp4/y19jYxzY8Y8.png", @@ -53217,7 +61609,7 @@ "duration": 1046, "youtube_id": "5B8XluiqdHM", "keywords": "subspace, projection", - "path": "/math/linear-algebra/v/linear-algebra--projections-onto-subspaces/", + "path": "/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra--projections-onto-subspaces/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5B8XluiqdHM.mp4/5B8XluiqdHM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5B8XluiqdHM.mp4/5B8XluiqdHM.png", @@ -53226,21 +61618,21 @@ "slug": "linear-algebra--projections-onto-subspaces", "readable_id": "linear-algebra--projections-onto-subspaces" }, - "government-s-financial-condition": { + "consumption-function-basics": { "kind": "Video", - "description": "Difference between debt and operating costs. Seeing how large obligations are for social security and medicare", - "title": "Government's Financial Condition", - "duration": 632, - "youtube_id": "LOiw5aBrm4Y", - "keywords": "finance, economics, budget, deficit, debt", - "path": "/humanities/american-civics/v/government-s-financial-condition/", + "description": "The basic idea of a consumption function", + "title": "Consumption Function Basics", + "duration": 399, + "youtube_id": "o5iot_ZsoV0", + "keywords": "macroeconomics, MPC", + "path": "/science/macroeconomics/income-and-expenditure-topic/consumption-function/v/consumption-function-basics/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/LOiw5aBrm4Y.mp4/LOiw5aBrm4Y.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/LOiw5aBrm4Y.mp4/LOiw5aBrm4Y.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/LOiw5aBrm4Y.m3u8/LOiw5aBrm4Y.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/o5iot_ZsoV0.mp4/o5iot_ZsoV0.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/o5iot_ZsoV0.mp4/o5iot_ZsoV0.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o5iot_ZsoV0.m3u8/o5iot_ZsoV0.m3u8" }, - "slug": "government-s-financial-condition", - "readable_id": "government-s-financial-condition" + "slug": "consumption-function-basics", + "readable_id": "consumption-function-basics" }, "sampling-distribution-example-problem": { "kind": "Video", @@ -53249,7 +61641,7 @@ "duration": 868, "youtube_id": "0ZstEh_8bYc", "keywords": "statistics, sample, distribution, sampling, mean, standard, deviation, error, CC_7_SP_8_c", - "path": "/math/statistics/v/sampling-distribution-example-problem/", + "path": "/math/probability/statistics-inferential/sampling_distribution/v/sampling-distribution-example-problem/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/0ZstEh_8bYc.mp4/0ZstEh_8bYc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0ZstEh_8bYc.mp4/0ZstEh_8bYc.png", @@ -53260,12 +61652,12 @@ }, "another-take-on-the-rate-problem": { "kind": "Video", - "description": "u15_l2_t1_we3 Another Take on the Rate Problem", + "description": "Another Take on the Rate Problem", "title": "Another Take on the Rate Problem", "duration": 215, "youtube_id": "hAy_bavEVCQ", "keywords": "u15_l2_t1_we3, Another, Take, on, the, Rate, Problem, CC_6_RP_3, CC_6_RP_3_b", - "path": "/math/algebra/rational-expressions/v/another-take-on-the-rate-problem/", + "path": "/math/algebra/rational-expressions/ratios_algebra/v/another-take-on-the-rate-problem/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/hAy_bavEVCQ.mp4/hAy_bavEVCQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hAy_bavEVCQ.mp4/hAy_bavEVCQ.png", @@ -53281,7 +61673,7 @@ "duration": 1334, "youtube_id": "9k97m8oWnaY", "keywords": "vector, calculus, surface, integral", - "path": "/math/calculus/multivariable-calculus/v/introduction-to-the-surface-integral/", + "path": "/math/calculus/multivariable-calculus/surface_integrals/v/introduction-to-the-surface-integral/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9k97m8oWnaY.mp4/9k97m8oWnaY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/9k97m8oWnaY.mp4/9k97m8oWnaY.png", @@ -53290,30 +61682,30 @@ "slug": "introduction-to-the-surface-integral", "readable_id": "introduction-to-the-surface-integral" }, - 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"path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/parallel-lines-2/", + "path": "/math/trigonometry/graphs/parallel_perpendicular/v/parallel-lines-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lOWXZFP8Vuc.mp4/lOWXZFP8Vuc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/lOWXZFP8Vuc.mp4/lOWXZFP8Vuc.png", @@ -53612,12 +62004,12 @@ }, "parallel-lines-3": { "kind": "Video", - "description": "U04_L2_T1_we3 : Parallel lines 3", + "description": "Parallel lines 3", "title": "Parallel lines 3", "duration": 162, "youtube_id": "y5yNi08cr6I", "keywords": "U04_L2_T1_we3, Parallel, lines", - "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/parallel-lines-3/", + "path": "/math/trigonometry/graphs/parallel_perpendicular/v/parallel-lines-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/y5yNi08cr6I.mp4/y5yNi08cr6I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/y5yNi08cr6I.mp4/y5yNi08cr6I.png", @@ -53642,21 +62034,21 @@ "slug": "singapore-math--grade-3a-unit-2--part-4", "readable_id": "singapore-math--grade-3a-unit-2--part-4" }, - 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"description": "U11_L1_T2_we3.1 Multiplying and Dividing Rational Expressions 3", + "description": ".1 Multiplying and Dividing Rational Expressions 3", "title": "Multiplying and Dividing Rational Expressions 3", "duration": 250, "youtube_id": "gcnk8TnzsLc", "keywords": "U11_L1_T2_we3.1, Multiplying, and, Dividing, Rational, Expressions, CC_39336_A-APR_6, CC_39336_A-APR_7", - "path": "/math/algebra/rational-expressions/v/multiplying-and-dividing-rational-expressions-3/", + "path": "/math/trigonometry/polynomial_and_rational/rational_funcs_tutorial/v/multiplying-and-dividing-rational-expressions-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gcnk8TnzsLc.mp4/gcnk8TnzsLc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gcnk8TnzsLc.mp4/gcnk8TnzsLc.png", @@ -53697,7 +62089,7 @@ "duration": 423, "youtube_id": "dZnc3PtNaN4", "keywords": "calculus, proof, derivative, x^n, CC_39336_A-APR_5", - "path": "/math/calculus/differential-calculus/v/proof--d-dx-x-n/", + "path": "/math/calculus/differential-calculus/power_rule_tutorial/v/proof--d-dx-x-n/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dZnc3PtNaN4.mp4/dZnc3PtNaN4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dZnc3PtNaN4.mp4/dZnc3PtNaN4.png", @@ -53729,7 +62121,7 @@ "duration": 772, "youtube_id": "0zCcFSO8ouE", "keywords": "amplitude, period, sin, trig", - 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"description": "u12_l2_t1_we2 Factoring trinomials with a common factor", - "title": "Factoring trinomials with a common factor", + "description": "Factoring trinomials with a common factor", + "title": "Example 1: Factoring trinomials with a common factor", "duration": 301, "youtube_id": "GMoqg_s4Dl4", "keywords": "u12_l2_t1_we2, Factoring, trinomials, with, common, factor, CC_39336_A-SSE_1_b, CC_39336_A-SSE_2, CC_39336_A-SSE_3", - "path": "/math/algebra/polynomials/v/factoring-trinomials-with-a-common-factor/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/v/factoring-trinomials-with-a-common-factor/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GMoqg_s4Dl4.mp4/GMoqg_s4Dl4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GMoqg_s4Dl4.mp4/GMoqg_s4Dl4.png", @@ -53937,7 +62345,7 @@ "duration": 386, "youtube_id": "00fgAG6VrRQ", "keywords": "increasing, opportunity, cost, PPF", - "path": "/finance-economics/microeconomics/v/increasing-opportunity-cost/", + "path": "/science/microeconomics/choices-opp-cost-tutorial/production-possibilities/v/increasing-opportunity-cost/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/00fgAG6VrRQ.mp4/00fgAG6VrRQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/00fgAG6VrRQ.mp4/00fgAG6VrRQ.png", @@ -53964,12 +62372,12 @@ }, "decimal-place-value-2": { "kind": "Video", - "description": "U03_L1_T1_we2 Decimal Place Value 2", + "description": "Decimal Place Value 2", "title": "Decimal Place Value 2", "duration": 211, "youtube_id": "AuD2TX-90Cc", "keywords": "U03_L1_T1_we2, Decimal, Place, Value, CC_5_NBT_3_a", - "path": "/math/arithmetic/decimals/v/decimal-place-value-2/", + "path": "/math/arithmetic/decimals/decimal_place_value/v/decimal-place-value-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AuD2TX-90Cc.mp4/AuD2TX-90Cc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AuD2TX-90Cc.mp4/AuD2TX-90Cc.png", @@ -53985,7 +62393,7 @@ "duration": 745, "youtube_id": "8VgmBe3ulb8", "keywords": "even, odd, functions, CC_39336_F-BF_3", - "path": "/math/algebra/algebra-functions/v/recognizing-odd-and-even-functions/", + "path": "/math/trigonometry/functions_and_graphs/analyzing_functions/v/recognizing-odd-and-even-functions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8VgmBe3ulb8.mp4/8VgmBe3ulb8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8VgmBe3ulb8.mp4/8VgmBe3ulb8.png", @@ -53994,6 +62402,22 @@ "slug": "recognizing-odd-and-even-functions", "readable_id": "recognizing-odd-and-even-functions" }, + "fetal-hemoglobin-and-hematocrit": { + "kind": "Video", + "description": "Although mom controls the oxygen source, the fetus has a couple of clever tricks to get the most oxygen possible! Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Fetal Hemoglobin and Hematocrit", + "duration": 872, + "youtube_id": "SqE5S1qS7ZU", + "keywords": "", + "path": "/science/healthcare-and-medicine/fetal-circulation/v/fetal-hemoglobin-and-hematocrit/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SqE5S1qS7ZU.mp4/SqE5S1qS7ZU.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/SqE5S1qS7ZU.mp4/SqE5S1qS7ZU.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SqE5S1qS7ZU.m3u8/SqE5S1qS7ZU.m3u8" + }, + "slug": "fetal-hemoglobin-and-hematocrit", + "readable_id": "fetal-hemoglobin-and-hematocrit" + }, "exponent-properties-involving-quotients": { "kind": "Video", "description": "Exponent Properties Involving Quotients", @@ -54001,7 +62425,7 @@ "duration": 562, "youtube_id": "AR1uqNbjM5s", "keywords": "Exponent, Properties, Involving, Quotients, CC_8_EE_1, CC_39336_A-SSE_3_c", - "path": "/math/algebra/ck12-algebra-1/v/exponent-properties-involving-quotients/", + "path": "/math/arithmetic/exponents-radicals/exponent-properties/v/exponent-properties-involving-quotients/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AR1uqNbjM5s.mp4/AR1uqNbjM5s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AR1uqNbjM5s.mp4/AR1uqNbjM5s.png", @@ -54017,7 +62441,7 @@ "duration": 405, "youtube_id": "gvwKv6F69F0", "keywords": "algebra, CC_8_EE_6", - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-a-line/v/algebra--equation-of-a-line/", + "path": "/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/v/algebra--equation-of-a-line/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gvwKv6F69F0.mp4/gvwKv6F69F0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/gvwKv6F69F0.mp4/gvwKv6F69F0.png", @@ -54033,7 +62457,7 @@ "duration": 1012, "youtube_id": "xw6utjoyMi4", "keywords": "conditional, probability, combinations", - "path": "/math/probability/v/conditional-probability-and-combinations/", + "path": "/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/conditional-probability-and-combinations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xw6utjoyMi4.mp4/xw6utjoyMi4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/xw6utjoyMi4.mp4/xw6utjoyMi4.png", @@ -54049,7 +62473,7 @@ "duration": 594, "youtube_id": "FaF3v-ezbSk", "keywords": "unit, vector, physics, calculus, vectors", - "path": "/science/physics/mechanics/v/unit-vector-notation/", + "path": "/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/unit-vector-notation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/FaF3v-ezbSk.mp4/FaF3v-ezbSk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/FaF3v-ezbSk.mp4/FaF3v-ezbSk.png", @@ -54090,6 +62514,22 @@ "slug": "language-of-coins-2-8--proto-writing", "readable_id": "language-of-coins-2-8--proto-writing" }, + "gmat--data-sufficiency-8": { + "kind": "Video", + "description": "37-41, pgs. 280-281", + "title": "GMAT: Data Sufficiency 8", + "duration": 760, + "youtube_id": "nL-NSia0HiA", + "keywords": "gmat, data, sufficiency, math", + "path": "/test-prep/gmat/data-sufficiency/v/gmat--data-sufficiency-8/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/nL-NSia0HiA.mp4/nL-NSia0HiA.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/nL-NSia0HiA.mp4/nL-NSia0HiA.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/nL-NSia0HiA.m3u8/nL-NSia0HiA.m3u8" + }, + "slug": "gmat--data-sufficiency-8", + "readable_id": "gmat--data-sufficiency-8" + }, "stepping-through-insertion-sort-function": { "kind": "Video", "description": "Clarifying what \"break\" does and stepping through the insertion sort implementation", @@ -54106,21 +62546,21 @@ "slug": "stepping-through-insertion-sort-function", "readable_id": "stepping-through-insertion-sort-function" }, - "marginal-utility": { + "renting-vs--buying-a-home": { "kind": "Video", - "description": "Marginal utility and marginal benefit. How you would spend $5 on chocolate and fruit", - "title": "Marginal Utility", - "duration": 734, - "youtube_id": "Kf9KhwryQNE", - "keywords": "microeconomics, utility", - "path": "/finance-economics/microeconomics/v/marginal-utility/", + "description": "The math of renting vs. buying a home. Challenging the notion that it is always better to buy.", + "title": "Renting vs. Buying a home", + "duration": 580, + "youtube_id": "YL10H_EcB-E", + "keywords": "mortgage, home, rent, buy, appreciation, taxes, economics", + "path": "/science/core-finance/housing/renting-v-buying/v/renting-vs--buying-a-home/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Kf9KhwryQNE.mp4/Kf9KhwryQNE.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/Kf9KhwryQNE.mp4/Kf9KhwryQNE.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Kf9KhwryQNE.m3u8/Kf9KhwryQNE.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YL10H_EcB-E.mp4/YL10H_EcB-E.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/YL10H_EcB-E.mp4/YL10H_EcB-E.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YL10H_EcB-E.m3u8/YL10H_EcB-E.m3u8" }, - "slug": "marginal-utility", - "readable_id": "marginal-utility" + "slug": "renting-vs--buying-a-home", + "readable_id": "renting-vs--buying-a-home" }, "two-passing-bicycles-word-problem": { "kind": "Video", @@ -54129,7 +62569,7 @@ "duration": 339, "youtube_id": "Nx4Xk5S4HQA", "keywords": "algebra, word, problem, bicycles, rate, distance, time", - "path": "/math/algebra/systems-of-eq-and-ineq/extra-systems/v/two-passing-bicycles-word-problem/", + "path": "/math/algebra/systems-of-eq-and-ineq/systems-word-problems/v/two-passing-bicycles-word-problem/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Nx4Xk5S4HQA.mp4/Nx4Xk5S4HQA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Nx4Xk5S4HQA.mp4/Nx4Xk5S4HQA.png", @@ -54145,7 +62585,7 @@ "duration": 644, "youtube_id": "PUsMyhds5S4", "keywords": "implicit, function, derivative, differentiation, calculus", - "path": "/math/calculus/differential-calculus/v/implicit-differentiation--part-2/", + "path": "/math/calculus/differential-calculus/implicit_differentiation/v/implicit-differentiation--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PUsMyhds5S4.mp4/PUsMyhds5S4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/PUsMyhds5S4.mp4/PUsMyhds5S4.png", @@ -54202,6 +62642,22 @@ "slug": "viruses", "readable_id": "viruses" }, + "left-ventricular-pressure-vs--time": { + "kind": "Video", + "description": "Ever wonder exactly how the left ventricle's pressure changes over time? Find out in this color-coded video! Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Left Ventricular Pressure vs. Time", + "duration": 651, + "youtube_id": "SrL6TQbWKJE", + "keywords": "", + "path": "/science/healthcare-and-medicine/pressure-volume-loops/v/left-ventricular-pressure-vs--time/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SrL6TQbWKJE.mp4/SrL6TQbWKJE.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/SrL6TQbWKJE.mp4/SrL6TQbWKJE.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SrL6TQbWKJE.m3u8/SrL6TQbWKJE.m3u8" + }, + "slug": "left-ventricular-pressure-vs--time", + "readable_id": "left-ventricular-pressure-vs--time" + }, "conic-identification-3": { "kind": "Video", "description": "Let's identify (and graph) a couple of more conics!", @@ -54209,7 +62665,7 @@ "duration": 694, "youtube_id": "Dru0RHgfp2g", "keywords": "conic, sections, parabola, circle", - "path": "/math/algebra/conic-sections/v/conic-identification-3/", + "path": "/math/trigonometry/conics_precalc/conics_precalc_eqs/v/conic-identification-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dru0RHgfp2g.mp4/Dru0RHgfp2g.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Dru0RHgfp2g.mp4/Dru0RHgfp2g.png", @@ -54218,37 +62674,69 @@ "slug": "conic-identification-3", "readable_id": "conic-identification-3" }, - "2010-iit-jee-paper-1-problem-50-hyperbola-eccentricity": { + "ex-1-age-word-problem": { "kind": "Video", - "description": null, - "title": "2010 IIT JEE Paper 1 Problem 50 Hyperbola Eccentricity", - "duration": 900, - "youtube_id": "4ES_vbSJ7LU", - "keywords": "2010, IIT, JEE, Paper, 1, Problem, 50, Hyperbola, Eccentricity", - "path": "/test-prep/iit-jee/v/2010-iit-jee-paper-1-problem-50-hyperbola-eccentricity/", + "description": "Imran is 18. Diya is 2. How many years will it take for Imran to be 3 times as old as Diya?", + "title": "Ex 1 Age word problem", + "duration": 321, + "youtube_id": "W-5liMGKgHA", + "keywords": "age word problems, linear equations", + "path": "/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/v/ex-1-age-word-problem/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4ES_vbSJ7LU.mp4/4ES_vbSJ7LU.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/4ES_vbSJ7LU.mp4/4ES_vbSJ7LU.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4ES_vbSJ7LU.m3u8/4ES_vbSJ7LU.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/W-5liMGKgHA.mp4/W-5liMGKgHA.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/W-5liMGKgHA.mp4/W-5liMGKgHA.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/W-5liMGKgHA.m3u8/W-5liMGKgHA.m3u8" }, - "slug": "2010-iit-jee-paper-1-problem-50-hyperbola-eccentricity", - "readable_id": "2010-iit-jee-paper-1-problem-50-hyperbola-eccentricity" + "slug": "ex-1-age-word-problem", + "readable_id": "ex-1-age-word-problem" }, - "exact-equations-intuition-2--proofy": { + "divergence-theorem-proof--part-2": { "kind": "Video", - "description": "More intuitive building blocks for exact equations.", - "title": "Exact Equations Intuition 2 (proofy)", - "duration": 651, - "youtube_id": "a7wYAtMjORQ", - "keywords": "exact, partial, differential, equations", - "path": "/math/differential-equations/v/exact-equations-intuition-2--proofy/", + "description": "Breaking up the surface integral", + "title": "Divergence Theorem Proof (part 2)", + "duration": 450, + "youtube_id": "OM3e-J3euXo", + "keywords": "", + "path": "/math/calculus/divergence_theorem_topic/divergence_theorem_proof/v/divergence-theorem-proof--part-2/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/a7wYAtMjORQ.mp4/a7wYAtMjORQ.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/a7wYAtMjORQ.mp4/a7wYAtMjORQ.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a7wYAtMjORQ.m3u8/a7wYAtMjORQ.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/OM3e-J3euXo.mp4/OM3e-J3euXo.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/OM3e-J3euXo.mp4/OM3e-J3euXo.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OM3e-J3euXo.m3u8/OM3e-J3euXo.m3u8" }, - "slug": "exact-equations-intuition-2--proofy", - "readable_id": "exact-equations-intuition-2--proofy" + "slug": "divergence-theorem-proof--part-2", + "readable_id": "divergence-theorem-proof--part-2" + }, + "divergence-theorem-proof--part-3": { + "kind": "Video", + "description": "Evaluating the surface integral", + "title": "Divergence Theorem Proof (part 3)", + "duration": 381, + "youtube_id": "3_W6bGuTfzU", + "keywords": "", + "path": "/math/calculus/divergence_theorem_topic/divergence_theorem_proof/v/divergence-theorem-proof--part-3/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3_W6bGuTfzU.mp4/3_W6bGuTfzU.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/3_W6bGuTfzU.mp4/3_W6bGuTfzU.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/3_W6bGuTfzU.m3u8/3_W6bGuTfzU.m3u8" + }, + "slug": "divergence-theorem-proof--part-3", + "readable_id": "divergence-theorem-proof--part-3" + }, + "divergence-theorem-proof--part-1": { + "kind": "Video", + "description": "Setting up the proof for the divergence theorem", + "title": "Divergence Theorem Proof (part 1)", + "duration": 509, + "youtube_id": "vCAFlt4pQSQ", + "keywords": "", + "path": "/math/calculus/divergence_theorem_topic/divergence_theorem_proof/v/divergence-theorem-proof--part-1/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/vCAFlt4pQSQ.mp4/vCAFlt4pQSQ.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/vCAFlt4pQSQ.mp4/vCAFlt4pQSQ.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/vCAFlt4pQSQ.m3u8/vCAFlt4pQSQ.m3u8" + }, + "slug": "divergence-theorem-proof--part-1", + "readable_id": "divergence-theorem-proof--part-1" }, "drawing-a-pressure-volume-loop": { "kind": "Video", @@ -54266,21 +62754,37 @@ "slug": "drawing-a-pressure-volume-loop", "readable_id": "drawing-a-pressure-volume-loop" }, - "masaccio--expulsion-of-adam-and-eve-from-eden--brancacci-chapel--c--1424-1427": { + "divergence-theorem-proof--part-4": { "kind": "Video", - "description": "Masaccio, Expulsion of Adam and Eve from Eden, Brancacci Chapel, Santa Maria del Carmine, Florence, Italy, ca. 1424--1427. 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Proving the Type I part", + "title": "Divergence Theorem Proof (part 5)", + "duration": 192, + "youtube_id": "DrRsXhln4S8", + "keywords": "", + "path": "/math/calculus/divergence_theorem_topic/divergence_theorem_proof/v/divergence-theorem-proof--part-5/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/DrRsXhln4S8.mp4/DrRsXhln4S8.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/DrRsXhln4S8.mp4/DrRsXhln4S8.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DrRsXhln4S8.m3u8/DrRsXhln4S8.m3u8" + }, + "slug": "divergence-theorem-proof--part-5", + "readable_id": "divergence-theorem-proof--part-5" }, "impact-velocity-from-given-height": { "kind": "Video", @@ -54289,7 +62793,7 @@ "duration": 703, "youtube_id": "2ZgBJxT9pbU", "keywords": "projectile, motion", - "path": "/science/physics/mechanics/v/impact-velocity-from-given-height/", + "path": "/science/physics/one-dimensional-motion/kinematic_formulas/v/impact-velocity-from-given-height/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/2ZgBJxT9pbU.mp4/2ZgBJxT9pbU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2ZgBJxT9pbU.mp4/2ZgBJxT9pbU.png", @@ -54298,14 +62802,30 @@ "slug": "impact-velocity-from-given-height", "readable_id": "impact-velocity-from-given-height" }, + "pka-table": { + "kind": "Video", + "description": "", + "title": "pka table", + "duration": 821, + "youtube_id": "wlYmdsRQyN0", + "keywords": "", + "path": "/science/organic-chemistry/gen-chem-review/acid-base-review/v/pka-table/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wlYmdsRQyN0.mp4/wlYmdsRQyN0.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/wlYmdsRQyN0.mp4/wlYmdsRQyN0.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/wlYmdsRQyN0.m3u8/wlYmdsRQyN0.m3u8" + }, + "slug": "pka-table", + "readable_id": "pka-table" + }, "the-distributive-property-2": { "kind": "Video", - "description": "U01_L4_T2_we2 The Distributive Property 2", + "description": "The Distributive Property 2", "title": "The Distributive Property 2", "duration": 131, "youtube_id": "Badvask-UDU", "keywords": "U01_L4_T2_we2, The, Distributive, Property, CC_3_OA_5, CC_5_OA_1, CC_6_EE_3, CC_6_NS_4, CC_7_EE_1", - "path": "/math/arithmetic/number-properties/v/the-distributive-property-2/", + "path": "/math/arithmetic/multiplication-division/ditributive_property/v/the-distributive-property-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Badvask-UDU.mp4/Badvask-UDU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Badvask-UDU.mp4/Badvask-UDU.png", @@ -54364,12 +62884,12 @@ }, "dividing-multivariable-polynomial-with-monomial": { "kind": "Video", - "description": "u11_l3_t2_we4 Dividing multivariable polynomial with monomial", + "description": "Dividing multivariable polynomial with monomial", "title": "Dividing multivariable polynomial with monomial", "duration": 194, "youtube_id": "Yu00YJ3tAlo", "keywords": "u11_l3_t2_we4, Dividing, multivariable, polynomial, with, monomial, CC_39336_A-APR_1", - "path": "/math/algebra/polynomials/v/dividing-multivariable-polynomial-with-monomial/", + "path": "/math/algebra/polynomials/dividing_polynomials/v/dividing-multivariable-polynomial-with-monomial/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yu00YJ3tAlo.mp4/Yu00YJ3tAlo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Yu00YJ3tAlo.mp4/Yu00YJ3tAlo.png", @@ -54401,7 +62921,7 @@ "duration": 753, "youtube_id": "a5sFUXkxyGc", "keywords": "accounting, depreciation, and, amortization, income, statement", - "path": "/finance-economics/valuation-and-investing/v/depreciation/", + "path": "/science/core-finance/stock-and-bonds/valuation-and-investing/v/depreciation/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/a5sFUXkxyGc.mp4/a5sFUXkxyGc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/a5sFUXkxyGc.mp4/a5sFUXkxyGc.png", @@ -54417,7 +62937,7 @@ "duration": 241, "youtube_id": "uX2w0b8Qlss", "keywords": "Depreciation, in, Cash, Flow", - "path": "/finance-economics/core-finance/v/depreciation-in-cash-flow/", + "path": "/science/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut/v/depreciation-in-cash-flow/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/uX2w0b8Qlss.mp4/uX2w0b8Qlss.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uX2w0b8Qlss.mp4/uX2w0b8Qlss.png", @@ -54458,6 +62978,22 @@ "slug": "bernini--bust-of-medusa--c--1644-48", "readable_id": "bernini--bust-of-medusa--c--1644-48" }, + "mies-van-der-rohe--seagram-building--new-york-city--1958": { + "kind": "Video", + "description": "Ludwig Mies van der Rohe, Seagram Building, 375 Park Avenue, New York City (1958)\n\nSpeakers: Dr. Matthew Postal, Dr. Steven Zucker\n\nhttp://smarthistory.org/mies-van-der-rohes-seagram-building.html\nNote: In the video I call Le Corbusier a French architect. This is somewhat reductionist since he was born in Swizerland and became a French citizen in 1930. (SZ)", + "title": "Ludwig Mies van der Rohe's Seagram Building", + "duration": 549, + "youtube_id": "ZyyuflY5k2k", + "keywords": "Art, History, Mies van der Rohe, Architecture, NYC, Seagram", + "path": "/humanities/art-history/art-history-1907-1960-age-of-global-conflict/v/mies-van-der-rohe--seagram-building--new-york-city--1958/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZyyuflY5k2k.mp4/ZyyuflY5k2k.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/ZyyuflY5k2k.mp4/ZyyuflY5k2k.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ZyyuflY5k2k.m3u8/ZyyuflY5k2k.m3u8" + }, + "slug": "mies-van-der-rohe--seagram-building--new-york-city--1958", + "readable_id": "mies-van-der-rohe--seagram-building--new-york-city--1958" + }, "average-velocity-for-constant-acceleration": { "kind": "Video", "description": "Calculating average velocity when acceleration is constant", @@ -54465,7 +63001,7 @@ "duration": 850, "youtube_id": "MAS6mBRZZXA", "keywords": "distance, kinematics, average, acceleration, physics", - "path": "/science/physics/mechanics/v/average-velocity-for-constant-acceleration/", + "path": "/science/physics/one-dimensional-motion/kinematic_formulas/v/average-velocity-for-constant-acceleration/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MAS6mBRZZXA.mp4/MAS6mBRZZXA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/MAS6mBRZZXA.mp4/MAS6mBRZZXA.png", @@ -54474,6 +63010,22 @@ "slug": "average-velocity-for-constant-acceleration", "readable_id": "average-velocity-for-constant-acceleration" }, + "john-singer-sargent--carnation--lily--lily--rose--1885-86": { + "kind": "Video", + "description": "John Singer Sargent, Carnation, Lily, Lily, Rose, 1885-86, oil on canvas, 1740 x 1537 mm (Tate Britain, London)", + "title": "Sargent's Carnation, Lily, Lily, Rose", + "duration": 256, + "youtube_id": "-bnCHws9qmw", + "keywords": "John Singer Sargent, Carnation, Lily, Rose, 1885, 1886, Tate, Britain, Sargent, painting, art history, OER, Google Art Project, Smarthistory, Khan Academy, Educational", + "path": "/humanities/art-history/art-history-1848-1907-industrial-revolution-ii/v/john-singer-sargent--carnation--lily--lily--rose--1885-86/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/-bnCHws9qmw.mp4/-bnCHws9qmw.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/-bnCHws9qmw.mp4/-bnCHws9qmw.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/-bnCHws9qmw.m3u8/-bnCHws9qmw.m3u8" + }, + "slug": "john-singer-sargent--carnation--lily--lily--rose--1885-86", + "readable_id": "john-singer-sargent--carnation--lily--lily--rose--1885-86" + }, "amine-as-nucleophile-in-sn2-reaction": { "kind": "Video", "description": "Amine as Nucleophile in Sn2 Reaction", @@ -54481,7 +63033,7 @@ "duration": 885, "youtube_id": "O4dvuimcVBA", "keywords": "Amine, as, Nucleophile, in, Sn2, Reaction", - "path": "/science/organic-chemistry/v/amine-as-nucleophile-in-sn2-reaction/", + "path": "/science/organic-chemistry/amines-topic/amines-substitution-reactions/v/amine-as-nucleophile-in-sn2-reaction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/O4dvuimcVBA.mp4/O4dvuimcVBA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/O4dvuimcVBA.mp4/O4dvuimcVBA.png", @@ -54508,12 +63060,12 @@ }, "dividing-polynomials-with-remainders": { "kind": "Video", - "description": "u11_l2_t6_we2 Dividing polynomials with remainders", + "description": "Dividing polynomials with remainders", "title": "Dividing polynomials with remainders", "duration": 383, "youtube_id": "pLCmwHsDYqo", "keywords": "u11_l2_t6_we2, Dividing, polynomials, with, remainders, CC_6_EE_1, CC_6_EE_2_c, CC_39336_A-APR_1", - "path": "/math/algebra/polynomials/v/dividing-polynomials-with-remainders/", + "path": "/math/trigonometry/polynomial_and_rational/polynomial_tutorial/v/dividing-polynomials-with-remainders/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/pLCmwHsDYqo.mp4/pLCmwHsDYqo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/pLCmwHsDYqo.mp4/pLCmwHsDYqo.png", @@ -54529,7 +63081,7 @@ "duration": 546, "youtube_id": "j0c2vmFGbtk", "keywords": "economics, surplus, dead, weight, loss", - 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"path": "/math/linear-algebra/v/linear-algebra--simplifying-conditions-for-invertibility/", + "path": "/math/linear-algebra/matrix_transformations/inverse_transformations/v/linear-algebra--simplifying-conditions-for-invertibility/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yz2OosyMTmY.mp4/Yz2OosyMTmY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Yz2OosyMTmY.mp4/Yz2OosyMTmY.png", @@ -54561,7 +63145,7 @@ "duration": 399, "youtube_id": "5ABpqVSx33I", "keywords": "Z-statistics, vs., T-statistics, t-distribution", - "path": "/math/statistics/v/z-statistics-vs--t-statistics/", + "path": "/math/probability/statistics-inferential/hypothesis-testing/v/z-statistics-vs--t-statistics/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5ABpqVSx33I.mp4/5ABpqVSx33I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5ABpqVSx33I.mp4/5ABpqVSx33I.png", @@ -54577,7 +63161,7 @@ "duration": 561, "youtube_id": "V7H1oUHXPkg", "keywords": "Solving, Linear, Systems, by, Substitution, CC_8_EE_8_b, CC_39336_A-REI_6", - 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"path": "/science/cosmology-and-astronomy/v/plates-moving-due-to-convection-in-mantle/", + "path": "/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plates-moving-due-to-convection-in-mantle/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/f8GK2oEN-uI.mp4/f8GK2oEN-uI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/f8GK2oEN-uI.mp4/f8GK2oEN-uI.png", @@ -54721,7 +63305,7 @@ "duration": 491, "youtube_id": "Se-ekDNhCDk", "keywords": "Organic, Chemistry, Naming, Examples", - "path": "/science/organic-chemistry/v/organic-chemistry-naming-examples-3/", + "path": "/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/organic-chemistry-naming-examples-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Se-ekDNhCDk.mp4/Se-ekDNhCDk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/Se-ekDNhCDk.mp4/Se-ekDNhCDk.png", @@ -54730,21 +63314,21 @@ "slug": "organic-chemistry-naming-examples-3", "readable_id": "organic-chemistry-naming-examples-3" }, - 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"path": "/science/physics/mechanics/v/loop-de-loop-question/", + "path": "/science/physics/two-dimensional-motion/centripetal-acceleration-tutoria/v/loop-de-loop-question/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/wjZb3zPuoeA.mp4/wjZb3zPuoeA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/wjZb3zPuoeA.mp4/wjZb3zPuoeA.png", @@ -54881,7 +63481,7 @@ "duration": 253, "youtube_id": "_uDb0ZdGb8w", "keywords": "Lower, Bound, on, Forward, Settlement, Price", - "path": "/finance-economics/core-finance/v/lower-bound-on-forward-settlement-price/", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/lower-bound-on-forward-settlement-price/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/_uDb0ZdGb8w.mp4/_uDb0ZdGb8w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/_uDb0ZdGb8w.mp4/_uDb0ZdGb8w.png", @@ -54893,11 +63493,11 @@ "trig-identities-part-2--parr-4-if-you-watch-the-proofs": { "kind": "Video", "description": "More playing around with trig identities", - "title": "Trig identities part 2 (parr 4 if you watch the proofs)", + "title": "Trig identities part 2 (part 4 if you watch the proofs)", "duration": 596, "youtube_id": "ZWSoyUxAQW0", "keywords": "Trig, trigonometry, trigonometric, identities, math, khan", - "path": "/math/trigonometry/v/trig-identities-part-2--parr-4-if-you-watch-the-proofs/", + "path": "/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/trig-identities-part-2--parr-4-if-you-watch-the-proofs/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ZWSoyUxAQW0.mp4/ZWSoyUxAQW0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ZWSoyUxAQW0.mp4/ZWSoyUxAQW0.png", @@ -54913,7 +63513,7 @@ "duration": 307, "youtube_id": "789aMeepbxI", "keywords": "Calculus, CC_39336_A-SSE_2", - "path": "/math/calculus/differential-calculus/v/proof--d-dx-sqrt-x/", + "path": "/math/calculus/differential-calculus/power_rule_tutorial/v/proof--d-dx-sqrt-x/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/789aMeepbxI.mp4/789aMeepbxI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/789aMeepbxI.mp4/789aMeepbxI.png", @@ -54922,21 +63522,21 @@ "slug": "proof--d-dx-sqrt-x", "readable_id": "proof--d-dx-sqrt-x" }, - 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"path": "/math/algebra/algebra-functions/v/recognizing-linear-functions/", + "path": "/math/trigonometry/functions_and_graphs/analyzing_functions/v/recognizing-linear-functions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AZroE4fJqtQ.mp4/AZroE4fJqtQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/AZroE4fJqtQ.mp4/AZroE4fJqtQ.png", @@ -55420,7 +64032,7 @@ }, "understanding-square-roots": { "kind": "Video", - "description": "U01_L5_T1_we3 Understanding Square Roots", + "description": "Understanding Square Roots", "title": "Understanding Square Roots", "duration": 81, "youtube_id": "ROIfbUQrSY4", @@ -55450,14 +64062,30 @@ "slug": "forehead-numbers-brain-teaser", "readable_id": "forehead-numbers-brain-teaser" }, + "hypothesis-test-for-difference-of-means": { + "kind": "Video", + "description": "Hypothesis Test for Difference of Means", + "title": "Hypothesis Test for Difference of Means", + "duration": 606, + "youtube_id": "N984XGLjQfs", + "keywords": "Hypothesis, Test, for, Difference, of, Means", + "path": "/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/hypothesis-test-for-difference-of-means/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/N984XGLjQfs.mp4/N984XGLjQfs.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/N984XGLjQfs.mp4/N984XGLjQfs.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/N984XGLjQfs.m3u8/N984XGLjQfs.m3u8" + }, + "slug": "hypothesis-test-for-difference-of-means", + "readable_id": "hypothesis-test-for-difference-of-means" + }, "equations-of-sequence-patterns": { "kind": "Video", - 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"path": "/math/algebra/rational-expressions/v/performing-arithmetic-calculations-on-units-of-volume/", + "path": "/math/arithmetic/rates-and-ratios/unit_conversion/v/performing-arithmetic-calculations-on-units-of-volume/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/hShqXKpI6KA.mp4/hShqXKpI6KA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/hShqXKpI6KA.mp4/hShqXKpI6KA.png", @@ -55489,7 +64117,7 @@ "duration": 622, "youtube_id": "w8LS4fRQvMk", "keywords": "amine, ammonium, sn2, nucleophile", - "path": "/science/organic-chemistry/v/amine-in-sn2-part-2/", + "path": "/science/organic-chemistry/amines-topic/amines-substitution-reactions/v/amine-in-sn2-part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/w8LS4fRQvMk.mp4/w8LS4fRQvMk.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/w8LS4fRQvMk.mp4/w8LS4fRQvMk.png", @@ -55505,7 +64133,7 @@ "duration": 326, "youtube_id": "5-ZFOhHQS68", "keywords": "newton, physics, galileo, decartes", - 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "title": "Baby Circulation Right After Birth", + "duration": 805, + "youtube_id": "jFn0dyU5wUw", + "keywords": "", + "path": "/science/healthcare-and-medicine/fetal-circulation/v/baby-circulation-right-after-birth/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jFn0dyU5wUw.mp4/jFn0dyU5wUw.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/jFn0dyU5wUw.mp4/jFn0dyU5wUw.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jFn0dyU5wUw.m3u8/jFn0dyU5wUw.m3u8" + }, + "slug": "baby-circulation-right-after-birth", + "readable_id": "baby-circulation-right-after-birth" + }, "inverse-property-of-multiplication": { "kind": "Video", "description": "Simple idea that multiplying by a numbers multiplicative inverse gets you back to one", @@ -56129,7 +64773,7 @@ "duration": 197, "youtube_id": "XMwnJUprid8", "keywords": "Inverse, Property, of, Multiplication", - "path": "/math/arithmetic/number-properties/v/inverse-property-of-multiplication/", + "path": "/math/arithmetic/order-of-operations/arithmetic_properties/v/inverse-property-of-multiplication/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XMwnJUprid8.mp4/XMwnJUprid8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XMwnJUprid8.mp4/XMwnJUprid8.png", @@ -56145,7 +64789,7 @@ "duration": 614, "youtube_id": "JBSDQLZtjFo", "keywords": "Discriminant, of, Quadratic, Equations, CC_39336_A-REI_4_b", - 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Attaching Bit-zee's prototype board", + "duration": 187, + "youtube_id": "DRz9B6SHWQ4", + "keywords": "bread board, prototype board, connections, bit-zee", + "path": "/science/projects/Bit-zee/v/attaching-bit-zee-s-prototype-board/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/DRz9B6SHWQ4.mp4/DRz9B6SHWQ4.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/DRz9B6SHWQ4.mp4/DRz9B6SHWQ4.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/DRz9B6SHWQ4.m3u8/DRz9B6SHWQ4.m3u8" + }, + "slug": "attaching-bit-zee-s-prototype-board", + "readable_id": "attaching-bit-zee-s-prototype-board" + }, + "gmat-math-27": { + "kind": "Video", + "description": "138-142, pg. 171", + "title": "GMAT Math 27", + "duration": 675, + "youtube_id": "SEtkn9S-WHY", + "keywords": "gmat, math, problem, solving", + "path": "/test-prep/gmat/problem-solving/v/gmat-math-27/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SEtkn9S-WHY.mp4/SEtkn9S-WHY.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/SEtkn9S-WHY.mp4/SEtkn9S-WHY.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/SEtkn9S-WHY.m3u8/SEtkn9S-WHY.m3u8" + }, + "slug": "gmat-math-27", + "readable_id": "gmat-math-27" + }, "dividing-fractions-example": { "kind": "Video", - "description": "U02_L2_T3_we2 Dividing Fractions", + "description": "Dividing Fractions", "title": "Dividing Fractions Example", "duration": 216, "youtube_id": "tnkPY4UqJ44", "keywords": "U02_L2_T3_we2, Dividing, Fractions, CC_5_NF_7, CC_6_NS_1, CC_7_NS_2, CC_7_NS_2_c", - "path": "/math/arithmetic/fractions/v/dividing-fractions-example/", + "path": "/math/arithmetic/fractions/multiplying_and_dividing_frac/v/dividing-fractions-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tnkPY4UqJ44.mp4/tnkPY4UqJ44.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tnkPY4UqJ44.mp4/tnkPY4UqJ44.png", @@ -57409,7 +66165,7 @@ "duration": 561, "youtube_id": "UkXI-zPcDIM", "keywords": "microeconomics, payoff, matrix", - "path": "/finance-economics/microeconomics/v/prisoners--dilemma-and-nash-equilibrium/", + "path": "/science/microeconomics/nash-equilibrium-tutorial/nash-eq-tutorial/v/prisoners--dilemma-and-nash-equilibrium/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/UkXI-zPcDIM.mp4/UkXI-zPcDIM.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UkXI-zPcDIM.mp4/UkXI-zPcDIM.png", @@ -57425,7 +66181,7 @@ "duration": 345, "youtube_id": "UYShebe44Xs", "keywords": "microeconomics", - "path": "/finance-economics/microeconomics/v/taxes-for-factoring-in-negative-externalities/", + "path": "/science/microeconomics/consumer-producer-surplus/externalities-topic/v/taxes-for-factoring-in-negative-externalities/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/UYShebe44Xs.mp4/UYShebe44Xs.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/UYShebe44Xs.mp4/UYShebe44Xs.png", @@ -57436,7 +66192,7 @@ }, "simplifying-cube-roots": { "kind": "Video", - "description": "u16_l1_t2_we3 Simplifying Cube Roots", + "description": "Simplifying Cube Roots", "title": "Simplifying Cube Roots", "duration": 325, "youtube_id": "c-wtvEdEoVs", @@ -57452,12 +66208,12 @@ }, "finding-the-100th-term-in-a-sequence": { "kind": "Video", - "description": "U03_L1_T2_we2 : Finding the 100th Term in a Sequence", + "description": "Finding the 100th Term in a Sequence", "title": "Finding the 100th Term in a Sequence", "duration": 357, "youtube_id": "JtsyP0tnVRY", "keywords": "U03_L1_T2_we2, Finding, the, 100th, Term, in, Sequence, CC_39336_F-BF_2", - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/finding-the-100th-term-in-a-sequence/", + "path": "/math/trigonometry/seq_induction/seq_and_series/v/finding-the-100th-term-in-a-sequence/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/JtsyP0tnVRY.mp4/JtsyP0tnVRY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/JtsyP0tnVRY.mp4/JtsyP0tnVRY.png", @@ -57466,6 +66222,22 @@ "slug": "finding-the-100th-term-in-a-sequence", "readable_id": "finding-the-100th-term-in-a-sequence" }, + "ether-naming-and-introduction": { + "kind": "Video", + "description": "Ether Naming and Introduction", + "title": "Ether Naming and Introduction", + "duration": 659, + "youtube_id": "roUGDG1rhPI", + "keywords": "Ether, Naming, aprotic, boiling, melting, point", + "path": "/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-properties-ethers/v/ether-naming-and-introduction/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/roUGDG1rhPI.mp4/roUGDG1rhPI.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/roUGDG1rhPI.mp4/roUGDG1rhPI.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/roUGDG1rhPI.m3u8/roUGDG1rhPI.m3u8" + }, + "slug": "ether-naming-and-introduction", + "readable_id": "ether-naming-and-introduction" + }, "complex-roots-of-the-characteristic-equations-3": { "kind": "Video", "description": "Lets do an example with initial conditions!", @@ -57473,7 +66245,7 @@ "duration": 612, "youtube_id": "rGaM6pwqhB0", "keywords": "Complex, roots, of, the, characteristic, equations", - "path": "/math/differential-equations/v/complex-roots-of-the-characteristic-equations-3/", + "path": "/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/v/complex-roots-of-the-characteristic-equations-3/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/rGaM6pwqhB0.mp4/rGaM6pwqhB0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rGaM6pwqhB0.mp4/rGaM6pwqhB0.png", @@ -57521,7 +66293,7 @@ "duration": 775, "youtube_id": "rcLnMe1ELPA", "keywords": "Scale, of, the, Galaxy", - "path": "/science/cosmology-and-astronomy/v/scale-of-the-galaxy/", + "path": "/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-the-galaxy/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/rcLnMe1ELPA.mp4/rcLnMe1ELPA.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/rcLnMe1ELPA.mp4/rcLnMe1ELPA.png", @@ -57530,6 +66302,22 @@ "slug": "scale-of-the-galaxy", "readable_id": "scale-of-the-galaxy" }, + "stabilization-of-conjugate-base-ii--resonance": { + "kind": "Video", + "description": "You can draw another resonance structure for the phenoxide anion (for a total of 5).", + "title": "stabilization of conjugate base II: resonance", + "duration": 773, + "youtube_id": "e28pzOOVfHI", + "keywords": "", + "path": "/science/organic-chemistry/gen-chem-review/acid-base-review/v/stabilization-of-conjugate-base-ii--resonance/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/e28pzOOVfHI.mp4/e28pzOOVfHI.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/e28pzOOVfHI.mp4/e28pzOOVfHI.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/e28pzOOVfHI.m3u8/e28pzOOVfHI.m3u8" + }, + "slug": "stabilization-of-conjugate-base-ii--resonance", + "readable_id": "stabilization-of-conjugate-base-ii--resonance" + }, "titian--venus-of-urbino--1538": { "kind": "Video", "description": "Titian, Venus of Urbino, 1538, oil on canvas, 119.20 x 165.50 cm (Galleria degli Uffizi, Florence)", @@ -57549,11 +66337,11 @@ "new-operator-definitions": { "kind": "Video", "description": "Getting comfortable with evaluating newly defined function operators", - "title": "New Operator Definitions", + "title": "New operator definitions", "duration": 410, "youtube_id": "ND-Bbp_q46s", "keywords": "algebra, operators, function, SAT", - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/new-operator-definitions/", + "path": "/math/algebra/algebra-functions/new_operators/v/new-operator-definitions/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ND-Bbp_q46s.mp4/ND-Bbp_q46s.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ND-Bbp_q46s.mp4/ND-Bbp_q46s.png", @@ -57569,7 +66357,7 @@ "duration": 190, "youtube_id": "YdGZaqJZbGc", "keywords": "federal, reserve, yield, banking", - "path": "/finance-economics/core-finance/v/annual-interest-varying-with-debt-maturity/", + "path": "/science/core-finance/stock-and-bonds/bonds-tutorial/v/annual-interest-varying-with-debt-maturity/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YdGZaqJZbGc.mp4/YdGZaqJZbGc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/YdGZaqJZbGc.mp4/YdGZaqJZbGc.png", @@ -57578,21 +66366,21 @@ "slug": "annual-interest-varying-with-debt-maturity", "readable_id": "annual-interest-varying-with-debt-maturity" }, - "calculating-real-return-in-last-year-dollars": { + "bonaventura-berlinghieri--altarpiece-of-st--francis--c--1235": { "kind": "Video", - "description": "Calculating real return in last year dollars", - "title": "Calculating Real Return in Last Year Dollars", - "duration": 170, - "youtube_id": "GiB9Mkgkrek", - "keywords": "finance, inflation, discount, rate, real, nominal, return", - "path": "/finance-economics/macroeconomics/v/calculating-real-return-in-last-year-dollars/", + "description": "Bonaventura Berlinghieri, Altarpiece of St. Francis, c. 1235 (Church of San Francesco,\nPescia, Italy)\n\nSpeakers: Dr. Beth Harris, Dr. Steven Zucker", + "title": "Berlinghieri's St. Francis Altarpiece", + "duration": 225, + "youtube_id": "ZK85rWtrklU", + "keywords": "Berlinghieri, Altarpiece of St. Francis, 13th Century, Altarpiece, St. Francis, Pescia, Italy, Church of San Francesco, smarthistory, Gothic Art", + "path": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/v/bonaventura-berlinghieri--altarpiece-of-st--francis--c--1235/", "download_urls": { - 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"path": "/math/algebra/algebra-functions/v/functional-relationships-1/", + "path": "/math/algebra/algebra-functions/relationships_functions/v/functional-relationships-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/5cK86VKoBPw.mp4/5cK86VKoBPw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/5cK86VKoBPw.mp4/5cK86VKoBPw.png", @@ -57633,7 +66421,7 @@ "duration": 284, "youtube_id": "dRMGqKA5xKI", "keywords": "Gold, Vessel, Cup, Pre-Columbian, South America, Sic\u00e1n, Lambayeque, Bat\u00e1n, Grande, tombs, Bat\u00e1n Grande tombs, 850, 1250, Portland Art Museum, Portland", - "path": "/humanities/art-history/art-history-400-1300-medieval-era/v/pre-columbian-cup--bat-n-grande-tombs--c--850-1250/", + "path": "/humanities/art-history/art-history-400-1300-medieval---byzantine-eras/v/pre-columbian-cup--bat-n-grande-tombs--c--850-1250/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dRMGqKA5xKI.mp4/dRMGqKA5xKI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dRMGqKA5xKI.mp4/dRMGqKA5xKI.png", @@ -57644,12 +66432,12 @@ }, "dividing-polynomials-1": { "kind": "Video", - "description": "u11_l2_t6_we1 Dividing polynomials 1", + "description": "Dividing polynomials 1", "title": "Dividing polynomials 1", "duration": 200, "youtube_id": "8Wxw9bpKEGQ", "keywords": "u11_l2_t6_we1, Dividing, polynomials, CC_6_EE_1, CC_6_EE_2_c, CC_39336_A-APR_1", - "path": "/math/algebra/polynomials/v/dividing-polynomials-1/", + "path": "/math/trigonometry/polynomial_and_rational/polynomial_tutorial/v/dividing-polynomials-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8Wxw9bpKEGQ.mp4/8Wxw9bpKEGQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8Wxw9bpKEGQ.mp4/8Wxw9bpKEGQ.png", @@ -57697,7 +66485,7 @@ "duration": 427, "youtube_id": "m6lMGoZTJnc", "keywords": "Apsidal, Precession, (Perihelion, Precession)", - "path": "/science/cosmology-and-astronomy/v/apsidal-precession--perihelion-precession--and-milankovitch-cycles/", + "path": "/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/apsidal-precession--perihelion-precession--and-milankovitch-cycles/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/m6lMGoZTJnc.mp4/m6lMGoZTJnc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/m6lMGoZTJnc.mp4/m6lMGoZTJnc.png", @@ -57706,6 +66494,22 @@ "slug": "apsidal-precession--perihelion-precession--and-milankovitch-cycles", "readable_id": "apsidal-precession--perihelion-precession--and-milankovitch-cycles" }, + "alkyne-nomenclature": { + "kind": "Video", + "description": "", + "title": "alkyne nomenclature", + "duration": 428, + "youtube_id": "qZTeyhR1akA", + "keywords": "", + "path": "/science/organic-chemistry/alkenes-alkynes/naming-preparation-alkynes/v/alkyne-nomenclature/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qZTeyhR1akA.mp4/qZTeyhR1akA.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/qZTeyhR1akA.mp4/qZTeyhR1akA.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qZTeyhR1akA.m3u8/qZTeyhR1akA.m3u8" + }, + "slug": "alkyne-nomenclature", + "readable_id": "alkyne-nomenclature" + }, "indefinite-integration--part-7": { "kind": "Video", "description": "Another example using integration by parts.", @@ -57713,7 +66517,7 @@ "duration": 578, "youtube_id": "F-OsMq7QKEQ", "keywords": "integration, parts, khan, calculus, math", - "path": "/math/calculus/integral-calculus/v/indefinite-integration--part-7/", + "path": "/math/calculus/integral-calculus/integration_by_parts/v/indefinite-integration--part-7/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/F-OsMq7QKEQ.mp4/F-OsMq7QKEQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/F-OsMq7QKEQ.mp4/F-OsMq7QKEQ.png", @@ -57745,7 +66549,7 @@ "duration": 558, "youtube_id": "HdqbCvqTb20", "keywords": "macroeconomics, demand-pull, inflation", - "path": "/finance-economics/macroeconomics/v/demand-pull-inflation-under-johnson/", + "path": "/science/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios/v/demand-pull-inflation-under-johnson/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/HdqbCvqTb20.mp4/HdqbCvqTb20.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/HdqbCvqTb20.mp4/HdqbCvqTb20.png", @@ -57761,7 +66565,7 @@ "duration": 279, "youtube_id": "SJUd5du0T08", "keywords": "perihelion, aphelion", - "path": "/science/cosmology-and-astronomy/v/seasons-aren-t-dictated-by-closeness-to-sun/", + "path": "/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/seasons-aren-t-dictated-by-closeness-to-sun/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/SJUd5du0T08.mp4/SJUd5du0T08.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/SJUd5du0T08.mp4/SJUd5du0T08.png", @@ -57788,12 +66592,12 @@ }, "graphing-a-line-in-slope-intercept-form": { "kind": "Video", - "description": "U04_L1_T3_we1 : Graphing a line in slope intercept form", + "description": "Graphing a line in slope intercept form", "title": "Graphing a line in slope intercept form", "duration": 181, "youtube_id": "uk7gS3cZVp4", "keywords": "U04_L1_T3_we1, Graphing, line, in, slope, intercept, form, CC_8_EE_6, CC_8_F_3, CC_8_F_5, CC_39336_F-IF_4, CC_39336_F-IF_7, CC_39336_F-IF_7_a", - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-a-line/v/graphing-a-line-in-slope-intercept-form/", + "path": "/math/trigonometry/graphs/line_equation/v/graphing-a-line-in-slope-intercept-form/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/uk7gS3cZVp4.mp4/uk7gS3cZVp4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uk7gS3cZVp4.mp4/uk7gS3cZVp4.png", @@ -57804,12 +66608,12 @@ }, "order-of-operations": { "kind": "Video", - "description": "U01_L5_T2_we1 Order of Operations", + "description": "Order of Operations", "title": "Order of Operations", "duration": 267, "youtube_id": "GiSpzFKI5_w", "keywords": "U01_L5_T2_we1, Order, of, Operations, CC_5_OA_1, CC_6_EE_2_c", - "path": "/math/arithmetic/order-of-operations/v/order-of-operations/", + "path": "/math/arithmetic/multiplication-division/order_of_operations/v/order-of-operations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GiSpzFKI5_w.mp4/GiSpzFKI5_w.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/GiSpzFKI5_w.mp4/GiSpzFKI5_w.png", @@ -57825,7 +66629,7 @@ "duration": 213, "youtube_id": "do1HDIdfQkU", "keywords": "economics, supply, and, demand", - "path": "/finance-economics/microeconomics/v/changes-in-income--population--or-preferences/", + "path": "/science/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/changes-in-income--population--or-preferences/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/do1HDIdfQkU.mp4/do1HDIdfQkU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/do1HDIdfQkU.mp4/do1HDIdfQkU.png", @@ -57841,7 +66645,7 @@ "duration": 389, "youtube_id": "dirBYVjDk7A", "keywords": "macroeconomics, current, account, capital, financial", - "path": "/finance-economics/macroeconomics/v/balance-of-payments--current-account/", + "path": "/science/macroeconomics/forex-trade-topic/current-capital-account/v/balance-of-payments--current-account/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dirBYVjDk7A.mp4/dirBYVjDk7A.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dirBYVjDk7A.mp4/dirBYVjDk7A.png", @@ -57889,7 +66693,7 @@ "duration": 877, "youtube_id": "27vT-NWuw0M", "keywords": "projection, vector, line, linear, algebra", - "path": "/math/linear-algebra/v/introduction-to-projections/", + "path": "/math/linear-algebra/matrix_transformations/lin_trans_examples/v/introduction-to-projections/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/27vT-NWuw0M.mp4/27vT-NWuw0M.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/27vT-NWuw0M.mp4/27vT-NWuw0M.png", @@ -57905,7 +66709,7 @@ "duration": 707, "youtube_id": "opEy6iN9kqc", "keywords": "ipo, initial, public, offering, equity, stock, market", - 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"slug": "is-short-selling-bad", - "readable_id": "is-short-selling-bad" + "slug": "basics-of-us-income-tax-rate-schedule", + "readable_id": "basics-of-us-income-tax-rate-schedule" }, "trigonometry-word-problems--part-2": { "kind": "Video", @@ -58449,7 +67269,7 @@ "duration": 171, "youtube_id": "4CNnPgabrLE", "keywords": "trigononometry, trig, word, problem, khan, math", - "path": "/math/trigonometry/v/trigonometry-word-problems--part-2/", + "path": "/math/trigonometry/basic-trigonometry/unit_circle_tut/v/trigonometry-word-problems--part-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4CNnPgabrLE.mp4/4CNnPgabrLE.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/4CNnPgabrLE.mp4/4CNnPgabrLE.png", @@ -58465,7 +67285,7 @@ "duration": 596, "youtube_id": "1vamogV81Y8", "keywords": "trigonometry, trig, math, angles, khan", - "path": "/math/trigonometry/v/trigonometry-word-problems--part-1/", + "path": "/math/trigonometry/basic-trigonometry/unit_circle_tut/v/trigonometry-word-problems--part-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1vamogV81Y8.mp4/1vamogV81Y8.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1vamogV81Y8.mp4/1vamogV81Y8.png", @@ -58481,7 +67301,7 @@ "duration": 646, "youtube_id": "eElHlE4j-vw", "keywords": "inheritance, death, tax", - "path": "/finance-economics/core-finance/v/estate-tax-introduction/", + "path": "/science/core-finance/taxes-topic/taxes/v/estate-tax-introduction/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/eElHlE4j-vw.mp4/eElHlE4j-vw.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eElHlE4j-vw.mp4/eElHlE4j-vw.png", @@ -58513,7 +67333,7 @@ "duration": 448, "youtube_id": "ppBJWf_Wdmc", "keywords": "calculus, AP, 2011, advanced, placement", - "path": "/math/calculus/integral-calculus/v/2011-calculus-ab-free-response--1a/", + "path": "/math/calculus/ap_calc_topic/ab_examples/v/2011-calculus-ab-free-response--1a/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ppBJWf_Wdmc.mp4/ppBJWf_Wdmc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/ppBJWf_Wdmc.mp4/ppBJWf_Wdmc.png", @@ -58545,7 +67365,7 @@ "duration": 1287, "youtube_id": "8SAMey9Gl5I", "keywords": "fractional, reserve, banking", - "path": "/finance-economics/banking-and-money/v/frb-commentary-3--big-picture/", + "path": "/science/core-finance/money-and-banking/banking-and-money/v/frb-commentary-3--big-picture/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8SAMey9Gl5I.mp4/8SAMey9Gl5I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/8SAMey9Gl5I.mp4/8SAMey9Gl5I.png", @@ -58561,7 +67381,7 @@ "duration": 600, "youtube_id": "eVl5zs6Lqy0", "keywords": "spring, hooke's, potential, energy, work, physics", - "path": "/science/physics/mechanics/v/potential-energy-stored-in-a-spring/", + "path": "/science/physics/work-and-energy/hookes-law/v/potential-energy-stored-in-a-spring/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/eVl5zs6Lqy0.mp4/eVl5zs6Lqy0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/eVl5zs6Lqy0.mp4/eVl5zs6Lqy0.png", @@ -58609,7 +67429,7 @@ "duration": 247, "youtube_id": "0jk6uLZ1Tdc", "keywords": "Arbitraging, Futures, Contract", - "path": "/finance-economics/core-finance/v/arbitraging-futures-contract/", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/arbitraging-futures-contract/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/0jk6uLZ1Tdc.mp4/0jk6uLZ1Tdc.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/0jk6uLZ1Tdc.mp4/0jk6uLZ1Tdc.png", @@ -58641,7 +67461,7 @@ "duration": 189, "youtube_id": "QiluvhVryI0", "keywords": "finance, futures, market, pre-opening", - "path": "/finance-economics/core-finance/v/futures-fair-value-in-the-pre-market/", + "path": "/science/core-finance/derivative-securities/forward-futures-contracts/v/futures-fair-value-in-the-pre-market/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/QiluvhVryI0.mp4/QiluvhVryI0.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/QiluvhVryI0.mp4/QiluvhVryI0.png", @@ -58689,7 +67509,7 @@ "duration": 438, "youtube_id": "1WOrgrIcQZU", "keywords": "normal, force, contact, physics", - "path": "/science/physics/mechanics/v/normal-force-and-contact-force/", + "path": "/science/physics/forces-newtons-laws/normal-contact-force/v/normal-force-and-contact-force/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1WOrgrIcQZU.mp4/1WOrgrIcQZU.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/1WOrgrIcQZU.mp4/1WOrgrIcQZU.png", @@ -58730,6 +67550,22 @@ "slug": "proof---sum-of-measures-of-angles-in-a-triangle-are-180", "readable_id": "proof---sum-of-measures-of-angles-in-a-triangle-are-180" }, + "alkene-intro-and-stability": { + "kind": "Video", + "description": "", + "title": "Alkene intro and stability", + "duration": 529, + "youtube_id": "kDOepUPGhFs", + "keywords": "", + "path": "/science/organic-chemistry/alkenes-alkynes/naming-alkenes-jay/v/alkene-intro-and-stability/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/kDOepUPGhFs.mp4/kDOepUPGhFs.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/kDOepUPGhFs.mp4/kDOepUPGhFs.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/kDOepUPGhFs.m3u8/kDOepUPGhFs.m3u8" + }, + "slug": "alkene-intro-and-stability", + "readable_id": "alkene-intro-and-stability" + }, "bailout-13--does-the-bailout-have-a-chance-of-working": { "kind": "Video", "description": "Can the bailout work?", @@ -58737,7 +67573,7 @@ "duration": 659, "youtube_id": "R528WbVdC0I", "keywords": "bailout, 700, billion, paulson, bernanke, fed", - "path": "/finance-economics/paulson-bailout/v/bailout-13--does-the-bailout-have-a-chance-of-working/", + "path": "/science/core-finance/money-and-banking/bank-bailout/v/bailout-13--does-the-bailout-have-a-chance-of-working/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/R528WbVdC0I.mp4/R528WbVdC0I.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/R528WbVdC0I.mp4/R528WbVdC0I.png", @@ -58753,7 +67589,7 @@ "duration": 588, "youtube_id": "T8sG4Sb3g7Y", "keywords": "calculus, optimization, derivative", - "path": "/math/calculus/differential-calculus/v/optimization--example-4/", + "path": "/math/calculus/derivative_applications/calc_optimization/v/optimization--example-4/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/T8sG4Sb3g7Y.mp4/T8sG4Sb3g7Y.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/T8sG4Sb3g7Y.mp4/T8sG4Sb3g7Y.png", @@ -58780,12 +67616,12 @@ }, "graphing-a--basic-function": { "kind": "Video", - "description": "u17_l2_t2_we1 Graphing a Basic Function", - "title": "Graphing a Basic Function", + "description": "Graphing a Basic Function", + "title": "Ex 2: Graphing a basic function", "duration": 336, "youtube_id": "2-dUHLHeyTY", "keywords": "u17_l2_t2_we1, Graphing, Basic, Function", - "path": "/math/algebra/algebra-functions/v/graphing-a--basic-function/", + "path": "/math/algebra/algebra-functions/graphing_functions/v/graphing-a--basic-function/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/2-dUHLHeyTY.mp4/2-dUHLHeyTY.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/2-dUHLHeyTY.mp4/2-dUHLHeyTY.png", @@ -58796,12 +67632,12 @@ }, "complex-roots-from-the-quadratic-formula": { "kind": "Video", - "description": "u16_l5_t2_we3 Complex Roots from the Quadratic Formula", - "title": "Complex Roots from the Quadratic Formula", + "description": "Complex Roots from the Quadratic Formula", + "title": "Example: Complex roots for a quadratic", "duration": 615, "youtube_id": "dnjK4DPqh0k", "keywords": "u16_l5_t2_we3, Complex, Roots, from, the, Quadratic, Formula", - "path": "/math/algebra/complex-numbers/v/complex-roots-from-the-quadratic-formula/", + "path": "/math/trigonometry/polynomial_and_rational/quad_formula_tutorial/v/complex-roots-from-the-quadratic-formula/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dnjK4DPqh0k.mp4/dnjK4DPqh0k.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/dnjK4DPqh0k.mp4/dnjK4DPqh0k.png", @@ -58817,7 +67653,7 @@ "duration": 748, "youtube_id": "BTNarhvGX88", "keywords": "Open, market, reserve, requirement, money, supply, m0, m1", - "path": "/finance-economics/banking-and-money/v/banking-13--open-market-operations/", + "path": "/science/core-finance/money-and-banking/banking-and-money/v/banking-13--open-market-operations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/BTNarhvGX88.mp4/BTNarhvGX88.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/BTNarhvGX88.mp4/BTNarhvGX88.png", @@ -58840,9 +67676,9 @@ "related_video_readable_ids": [ "decimals-and-fractions" ], - "seconds_per_fast_problem": 5.0, + "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/arithmetic/fractions/e/converting_decimals_to_fractions_1/", + "path": "/math/arithmetic/fractions/decimals_fractions/e/converting_decimals_to_fractions_1/", "slug": "converting_decimals_to_fractions_1", "name": "converting_decimals_to_fractions_1" }, @@ -58858,7 +67694,7 @@ "simple-equations", "equations-2" ], - "seconds_per_fast_problem": 7.0, + "seconds_per_fast_problem": 6.0, "live": true, "path": "/math/algebra/solving-linear-equations-and-inequalities/manipulating-expressions/e/writing_expressions_1/", "slug": "writing_expressions_1", @@ -58893,7 +67729,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/statistics/e/reading_tables_1/", + "path": "/math/arithmetic/interpreting-data-topic/reading_data/e/reading_tables_1/", "slug": "reading_tables_1", "name": "reading_tables_1" }, @@ -58908,7 +67744,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/statistics/e/reading_tables_2/", + "path": "/math/arithmetic/interpreting-data-topic/reading_data/e/reading_tables_2/", "slug": "reading_tables_2", "name": "reading_tables_2" }, @@ -58923,7 +67759,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 4.0, "live": true, - "path": "/math/geometry/triangle-properties/e/triangle_types/", + "path": "/math/geometry/congruent-triangles/isoscleles_equil/e/triangle_types/", "slug": "triangle_types", "name": "triangle_types" }, @@ -58938,9 +67774,9 @@ "related_video_readable_ids": [ "midpoint-formula" ], - "seconds_per_fast_problem": 19.0, + "seconds_per_fast_problem": 21.0, "live": true, - "path": "/math/algebra/pythagorean-theorem/e/midpoint_formula/", + "path": "/math/trigonometry/graphs/midpoint_and_distance/e/midpoint_formula/", "slug": "midpoint_formula", "name": "midpoint_formula" }, @@ -58951,7 +67787,7 @@ "title": "Conditional statements", "prerequisites": [], "related_video_readable_ids": [], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 13.0, "live": true, "path": "/math/geometry/logical-reasoning/e/conditional_statements_2/", "slug": "conditional_statements_2", @@ -58971,7 +67807,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/division_0.5/", + "path": "/math/arithmetic/multiplication-division/delightful_division/e/division_0.5/", "slug": "division_0.5", "name": "division_0.5" }, @@ -59002,9 +67838,9 @@ "compound-inequalities-3", "compound-inequalities-4" ], - "seconds_per_fast_problem": 18.0, + "seconds_per_fast_problem": 23.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/inequalities/e/compound_inequalities/", + "path": "/math/algebra/linear_inequalities/compound_absolute_value_inequali/e/compound_inequalities/", "slug": "compound_inequalities", "name": "compound_inequalities" }, @@ -59024,7 +67860,7 @@ ], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/arithmetic/factors-multiples/e/divisibility_0.5/", + "path": "/math/arithmetic/factors-multiples/divisibility_and_factors/e/divisibility_0.5/", "slug": "divisibility_0.5", "name": "divisibility_0.5" }, @@ -59044,16 +67880,16 @@ "adding-fractions-with-different-signs", "adding-and-subtracting-fractions" ], - "seconds_per_fast_problem": 23.0, + "seconds_per_fast_problem": 27.0, "live": true, - "path": "/math/arithmetic/fractions/e/adding_and_subtracting_fractions/", + "path": "/math/arithmetic/fractions/Adding_and_subtracting_fractions/e/adding_and_subtracting_fractions/", "slug": "adding_and_subtracting_fractions", "name": "adding_and_subtracting_fractions" }, "linear_equations_3": { "kind": "Exercise", "display_name": "Equations with variables on both sides", - "description": "Solve equations with a variable on both sides. Solutions are integers.", + "description": "Solve equations with a variable on both sides.", "title": "Equations with variables on both sides", "prerequisites": [ "linear_equations_2" @@ -59061,7 +67897,7 @@ "related_video_readable_ids": [ "equations-3" ], - "seconds_per_fast_problem": 19.0, + "seconds_per_fast_problem": 15.0, "live": true, "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equations_3/", "slug": "linear_equations_3", @@ -59079,7 +67915,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/geometry/segments-and-angles/e/exploring_angle_pairs_1/", + "path": "/math/geometry/parallel-and-perpendicular-lines/Angle_basics/e/exploring_angle_pairs_1/", "slug": "exploring_angle_pairs_1", "name": "exploring_angle_pairs_1" }, @@ -59096,9 +67932,9 @@ "domain-and-range-2", "domain-and-range-of-a-function" ], - "seconds_per_fast_problem": 9.0, + "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/algebra/algebra-functions/e/domain_and_range_0.5/", + "path": "/math/trigonometry/functions_and_graphs/domain_range/e/domain_and_range_0.5/", "slug": "domain_and_range_0.5", "name": "domain_and_range_0.5" }, @@ -59118,9 +67954,9 @@ "finding-congruent-triangles", "other-triangle-congruence-postulates" ], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/geometry/congruent-triangles/e/congruency_postulates/", + "path": "/math/geometry/congruent-triangles/cong_triangle/e/congruency_postulates/", "slug": "congruency_postulates", "name": "congruency_postulates" }, @@ -59137,7 +67973,7 @@ ], "seconds_per_fast_problem": 4.0, "live": true, - "path": "/math/algebra/conic-sections/e/recognizing_conic_sections/", + "path": "/math/trigonometry/conics_precalc/conic_section_intro/e/recognizing_conic_sections/", "slug": "recognizing_conic_sections", "name": "recognizing_conic_sections" }, @@ -59149,14 +67985,10 @@ "prerequisites": [ "exploring_mean_and_median" ], - "related_video_readable_ids": [ - "average-or-central-tendency--arithmetic-mean--median--and-mode", - "statistics--the-average", - "algebra-ii--mean-and-standard-deviation" - ], - "seconds_per_fast_problem": 8.0, + "related_video_readable_ids": [], + "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/statistics/e/mean_median_and_mode/", + "path": "/math/probability/descriptive-statistics/central_tendency/e/mean_median_and_mode/", "slug": "mean_median_and_mode", "name": "mean_median_and_mode" }, @@ -59169,9 +68001,9 @@ "slope_intercept_form" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 15.0, + "seconds_per_fast_problem": 17.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/e/converting_between_slope_intercept_and_standard_form/", + "path": "/math/trigonometry/graphs/line_equation/e/converting_between_slope_intercept_and_standard_form/", "slug": "converting_between_slope_intercept_and_standard_form", "name": "converting_between_slope_intercept_and_standard_form" }, @@ -59189,7 +68021,7 @@ ], "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/linear-algebra/vectors/e/adding_vectors/", + "path": "/math/linear-algebra/vectors_and_spaces/vectors/e/adding_vectors/", "slug": "adding_vectors", "name": "adding_vectors" }, @@ -59204,9 +68036,9 @@ "related_video_readable_ids": [ "inequalities-on-a-number-line" ], - "seconds_per_fast_problem": 11.0, + "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/inequalities/e/inequalities_on_a_number_line/", + "path": "/math/algebra/linear_inequalities/inequalities/e/inequalities_on_a_number_line/", "slug": "inequalities_on_a_number_line", "name": "inequalities_on_a_number_line" }, @@ -59224,7 +68056,7 @@ ], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/linear-algebra/vectors/e/scaling_vectors/", + "path": "/math/linear-algebra/vectors_and_spaces/vectors/e/scaling_vectors/", "slug": "scaling_vectors", "name": "scaling_vectors" }, @@ -59245,26 +68077,24 @@ ], "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/probability/e/probability_1/", + "path": "/math/probability/independent-dependent-probability/basic_probability/e/probability_1/", "slug": "probability_1", "name": "probability_1" }, - "one_step_inequalities": { + "creating_bar_charts_1": { "kind": "Exercise", - "display_name": "One step inequalities", - "description": "Solve inequalities in one step.", - "title": "One step inequalities", + "display_name": "Creating bar charts 1", + "description": null, + "title": "Creating bar charts 1", "prerequisites": [ - "inequalities_on_a_number_line" - ], - "related_video_readable_ids": [ - "one-step-inequalities" + "reading_bar_charts_1" ], - "seconds_per_fast_problem": 14.0, + "related_video_readable_ids": [], + "seconds_per_fast_problem": 23.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/inequalities/e/one_step_inequalities/", - "slug": "one_step_inequalities", - "name": "one_step_inequalities" + "path": "/math/arithmetic/interpreting-data-topic/reading_data/e/creating_bar_charts_1/", + "slug": "creating_bar_charts_1", + "name": "creating_bar_charts_1" }, "telling_time_2": { "kind": "Exercise", @@ -59297,23 +68127,10 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/adding_and_subtracting_negative_numbers/", + "path": "/math/arithmetic/absolute-value/adding_subtracting_negatives/e/adding_and_subtracting_negative_numbers/", "slug": "adding_and_subtracting_negative_numbers", "name": "adding_and_subtracting_negative_numbers" }, - "comparing_objects": { - "kind": "Exercise", - "display_name": "Comparing objects", - "description": "", - "title": "Comparing objects", - "prerequisites": [], - "related_video_readable_ids": [], - "seconds_per_fast_problem": 4.0, - "live": false, - "path": "/math/geometry/basic-geometry/e/comparing_objects/", - "slug": "comparing_objects", - "name": "comparing_objects" - }, "number_line_3": { "kind": "Exercise", "display_name": "Number line 3", @@ -59327,7 +68144,7 @@ ], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/number_line_3/", + "path": "/math/arithmetic/absolute-value/add-sub-negatives/e/number_line_3/", "slug": "number_line_3", "name": "number_line_3" }, @@ -59339,16 +68156,10 @@ "prerequisites": [ "converting_decimals_to_fractions_2" ], - "related_video_readable_ids": [ - "describing-the-meaning-of-percent", - "describing-the-meaning-of-percent-2", - "representing-a-number-as-a-decimal--percent--and-fraction", - "representing-a-number-as-a-decimal--percent--and-fraction-2", - "percent-and-decimals" - ], + "related_video_readable_ids": [], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/arithmetic/percents/e/converting_decimals_to_percents/", + "path": "/math/arithmetic/decimals/percent_tutorial/e/converting_decimals_to_percents/", "slug": "converting_decimals_to_percents", "name": "converting_decimals_to_percents" }, @@ -59362,9 +68173,9 @@ "converting_percents_to_decimals" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 20.0, + "seconds_per_fast_problem": 19.0, "live": true, - "path": "/math/arithmetic/percents/e/markup_and_commission_word_problems/", + "path": "/math/arithmetic/decimals/percent_word_probs/e/markup_and_commission_word_problems/", "slug": "markup_and_commission_word_problems", "name": "markup_and_commission_word_problems" }, @@ -59377,12 +68188,11 @@ "graphing_linear_equations" ], "related_video_readable_ids": [ - "solving-and-graphing-linear-inequalities-in-two-variables-1", - "graphing-linear-inequalities-in-two-variables-2" + "solving-and-graphing-linear-inequalities-in-two-variables-1" ], "seconds_per_fast_problem": 20.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities/e/graphing_inequalities/", + "path": "/math/trigonometry/graphs/graphing_inequalities/e/graphing_inequalities/", "slug": "graphing_inequalities", "name": "graphing_inequalities" }, @@ -59397,9 +68207,9 @@ "related_video_readable_ids": [ "conic-sections--intro-to-circles" ], - "seconds_per_fast_problem": 22.0, + "seconds_per_fast_problem": 21.0, "live": true, - "path": "/math/geometry/circles/e/graphing_circles_2/", + "path": "/math/trigonometry/conics_precalc/circles-tutorial-precalc/e/graphing_circles_2/", "slug": "graphing_circles_2", "name": "graphing_circles_2" }, @@ -59418,7 +68228,7 @@ ], "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/geometry/segments-and-angles/e/complementary_and_supplementary_angles/", + "path": "/math/geometry/parallel-and-perpendicular-lines/Angle_basics/e/complementary_and_supplementary_angles/", "slug": "complementary_and_supplementary_angles", "name": "complementary_and_supplementary_angles" }, @@ -59436,9 +68246,9 @@ "45-45-90-triangles", "pythagorean-theorem-ii" ], - "seconds_per_fast_problem": 9.0, + "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/trigonometry/e/pythagorean_theorem_2/", + "path": "/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/pythagorean_theorem_2/", "slug": "pythagorean_theorem_2", "name": "pythagorean_theorem_2" }, @@ -59455,7 +68265,7 @@ "pythagorean-theorem", "pythagorean-theorem-ii" ], - "seconds_per_fast_problem": 15.0, + "seconds_per_fast_problem": 16.0, "live": true, "path": "/math/algebra/pythagorean-theorem/e/pythagorean_theorem_1/", "slug": "pythagorean_theorem_1", @@ -59472,9 +68282,9 @@ "related_video_readable_ids": [ "level-4-division" ], - "seconds_per_fast_problem": 13.0, + "seconds_per_fast_problem": 15.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/division_4/", + "path": "/math/arithmetic/multiplication-division/long_division/e/division_4/", "slug": "division_4", "name": "division_4" }, @@ -59489,9 +68299,9 @@ "related_video_readable_ids": [ "division-2" ], - "seconds_per_fast_problem": 8.0, + "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/division_2/", + "path": "/math/arithmetic/multiplication-division/long_division/e/division_2/", "slug": "division_2", "name": "division_2" }, @@ -59509,7 +68319,7 @@ ], "seconds_per_fast_problem": 16.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/division_3/", + "path": "/math/arithmetic/multiplication-division/long_division/e/division_3/", "slug": "division_3", "name": "division_3" }, @@ -59527,7 +68337,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/division_1/", + "path": "/math/arithmetic/multiplication-division/delightful_division/e/division_1/", "slug": "division_1", "name": "division_1" }, @@ -59540,9 +68350,9 @@ "related_video_readable_ids": [ "singapore-math--grade-3a--unit-1--part-1" ], - "seconds_per_fast_problem": 6.0, + "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/representing_numbers/", + "path": "/math/arithmetic/addition-subtraction/addition_carrying/e/representing_numbers/", "slug": "representing_numbers", "name": "representing_numbers" }, @@ -59555,9 +68365,9 @@ "triangle_types" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 10.0, + "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/geometry/triangle-properties/e/triangle_angles_1/", + "path": "/math/geometry/congruent-triangles/isoscleles_equil/e/triangle_angles_1/", "slug": "triangle_angles_1", "name": "triangle_angles_1" }, @@ -59571,9 +68381,9 @@ "congruent_angles" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 20.0, + "seconds_per_fast_problem": 22.0, "live": true, - "path": "/math/geometry/parallel-and-perpendicular-lines/e/same_side_exterior_angles_2/", + "path": "/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/same_side_exterior_angles_2/", "slug": "same_side_exterior_angles_2", "name": "same_side_exterior_angles_2" }, @@ -59593,7 +68403,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/order-of-operations/e/properties_of_numbers_1/", + "path": "/math/arithmetic/order-of-operations/arithmetic_properties/e/properties_of_numbers_1/", "slug": "properties_of_numbers_1", "name": "properties_of_numbers_1" }, @@ -59614,7 +68424,7 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/arithmetic/order-of-operations/e/properties_of_numbers_2/", + "path": "/math/arithmetic/order-of-operations/arithmetic_properties/e/properties_of_numbers_2/", "slug": "properties_of_numbers_2", "name": "properties_of_numbers_2" }, @@ -59629,9 +68439,9 @@ "related_video_readable_ids": [ "multiplying-binomials" ], - "seconds_per_fast_problem": 10.0, + "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/algebra/polynomials/e/multiplying_expressions_0.5/", + "path": "/math/algebra/polynomials/multiplying_polynomials/e/multiplying_expressions_0.5/", "slug": "multiplying_expressions_0.5", "name": "multiplying_expressions_0.5" }, @@ -59643,13 +68453,10 @@ "prerequisites": [ "expressions_with_unknown_variables" ], - "related_video_readable_ids": [ - "solving-3-equations-with-3-unknowns", - "solving-systems-of-equations-by-elimination" - ], + "related_video_readable_ids": [], "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/e/expressions_with_unknown_variables_2/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars/e/expressions_with_unknown_variables_2/", "slug": "expressions_with_unknown_variables_2", "name": "expressions_with_unknown_variables_2" }, @@ -59666,7 +68473,7 @@ ], "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/arithmetic/decimals/e/adding_decimals_2/", + "path": "/math/arithmetic/decimals/adding_decimals/e/adding_decimals_2/", "slug": "adding_decimals_2", "name": "adding_decimals_2" }, @@ -59686,7 +68493,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/calculus/differential-calculus/e/special_derivatives/", + "path": "/math/calculus/differential-calculus/der_common_functions/e/special_derivatives/", "slug": "special_derivatives", "name": "special_derivatives" }, @@ -59700,9 +68507,9 @@ "congruent_segments" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 27.0, + "seconds_per_fast_problem": 28.0, "live": true, - "path": "/math/geometry/segments-and-angles/e/segment_addition/", + "path": "/math/geometry/segments-and-angles/intro_euclid/e/segment_addition/", "slug": "segment_addition", "name": "segment_addition" }, @@ -59720,7 +68527,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/decimals/e/understanding_moving_the_decimal/", + "path": "/math/arithmetic/decimals/multiplying_decimals/e/understanding_moving_the_decimal/", "slug": "understanding_moving_the_decimal", "name": "understanding_moving_the_decimal" }, @@ -59735,9 +68542,9 @@ "related_video_readable_ids": [ "graphing-systems-of-inequalities-2" ], - "seconds_per_fast_problem": 60.0, + "seconds_per_fast_problem": 58.0, "live": true, - "path": "/math/algebra/systems-of-eq-and-ineq/system-of-inequalities/e/graphing_systems_of_inequalities_2/", + "path": "/math/trigonometry/systems_eq_ineq/systems_inequalities_precalc/e/graphing_systems_of_inequalities_2/", "slug": "graphing_systems_of_inequalities_2", "name": "graphing_systems_of_inequalities_2" }, @@ -59750,9 +68557,9 @@ "permutations_and_combinations_2" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 29.0, + "seconds_per_fast_problem": 31.0, "live": true, - "path": "/math/probability/e/probability_with_perm_comb/", + "path": "/math/probability/probability-and-combinatorics-topic/probability_combinatorics/e/probability_with_perm_comb/", "slug": "probability_with_perm_comb", "name": "probability_with_perm_comb" }, @@ -59767,9 +68574,9 @@ "related_video_readable_ids": [ "graphs-of-quadratic-functions" ], - "seconds_per_fast_problem": 27.0, + "seconds_per_fast_problem": 26.0, "live": true, - "path": "/math/algebra/quadratics/e/graphing_parabolas_1/", + "path": "/math/trigonometry/polynomial_and_rational/solving_graphing_quadratics/e/graphing_parabolas_1/", "slug": "graphing_parabolas_1", "name": "graphing_parabolas_1" }, @@ -59785,9 +68592,9 @@ "related_video_readable_ids": [ "graphs-of-quadratic-functions" ], - "seconds_per_fast_problem": 57.0, + "seconds_per_fast_problem": 55.0, "live": true, - "path": "/math/algebra/quadratics/e/graphing_parabolas_2/", + "path": "/math/trigonometry/polynomial_and_rational/solving_graphing_quadratics/e/graphing_parabolas_2/", "slug": "graphing_parabolas_2", "name": "graphing_parabolas_2" }, @@ -59805,7 +68612,7 @@ ], "seconds_per_fast_problem": 4.0, "live": true, - "path": "/math/arithmetic/fractions/e/recognizing_fractions/", + "path": "/math/arithmetic/fractions/understanding_fractions/e/recognizing_fractions/", "slug": "recognizing_fractions", "name": "recognizing_fractions" }, @@ -59822,9 +68629,9 @@ "using-trig-functions-part-ii", "basic-trigonometry-ii" ], - "seconds_per_fast_problem": 11.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/trigonometry/e/trigonometry_2/", + "path": "/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_2/", "slug": "trigonometry_2", "name": "trigonometry_2" }, @@ -59841,7 +68648,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/decimals/e/decimals_on_the_number_line_1/", + "path": "/math/arithmetic/decimals/decimal_place_value/e/decimals_on_the_number_line_1/", "slug": "decimals_on_the_number_line_1", "name": "decimals_on_the_number_line_1" }, @@ -59859,9 +68666,9 @@ "related_video_readable_ids": [ "equivalent-fractions-example" ], - "seconds_per_fast_problem": 9.0, + "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/arithmetic/fractions/e/simplifying_fractions/", + "path": "/math/arithmetic/fractions/Equivalent_fractions/e/simplifying_fractions/", "slug": "simplifying_fractions", "name": "simplifying_fractions" }, @@ -59883,7 +68690,7 @@ ], "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/trigonometry/e/trigonometry_1/", + "path": "/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_1/", "slug": "trigonometry_1", "name": "trigonometry_1" }, @@ -59900,7 +68707,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/geometry/basic-geometry/e/area_of_squares_and_rectangles/", + "path": "/math/geometry/basic-geometry/perimeter_area_basics/e/area_of_squares_and_rectangles/", "slug": "area_of_squares_and_rectangles", "name": "area_of_squares_and_rectangles" }, @@ -59917,7 +68724,7 @@ ], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/ordering_negative_numbers/", + "path": "/math/arithmetic/absolute-value/add-sub-negatives/e/ordering_negative_numbers/", "slug": "ordering_negative_numbers", "name": "ordering_negative_numbers" }, @@ -59931,9 +68738,9 @@ "congruent_angles" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 14.0, + "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/geometry/parallel-and-perpendicular-lines/e/alternate_exterior_angles_2/", + "path": "/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/alternate_exterior_angles_2/", "slug": "alternate_exterior_angles_2", "name": "alternate_exterior_angles_2" }, @@ -59948,9 +68755,9 @@ "related_video_readable_ids": [ "one-step-equations" ], - "seconds_per_fast_problem": 8.0, + "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/one_step_equations/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/one_step_equations/", "slug": "one_step_equations", "name": "one_step_equations" }, @@ -59967,9 +68774,9 @@ "calculus--derivatives-1--new-hd-version", "calculus--derivatives-1" ], - "seconds_per_fast_problem": 29.0, + "seconds_per_fast_problem": 32.0, "live": true, - "path": "/math/calculus/differential-calculus/e/derivative_intuition/", + "path": "/math/calculus/differential-calculus/derivative_intro/e/derivative_intuition/", "slug": "derivative_intuition", "name": "derivative_intuition" }, @@ -59986,7 +68793,7 @@ "related_video_readable_ids": [ "simplifying-radicals" ], - "seconds_per_fast_problem": 9.0, + "seconds_per_fast_problem": 10.0, "live": true, "path": "/math/arithmetic/exponents-radicals/radical-radicals/e/simplifying_radicals/", "slug": "simplifying_radicals", @@ -60005,7 +68812,7 @@ ], "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/trigonometry/e/radians_to_degrees/", + "path": "/math/trigonometry/basic-trigonometry/radians_tutorial/e/radians_to_degrees/", "slug": "radians_to_degrees", "name": "radians_to_degrees" }, @@ -60019,9 +68826,9 @@ "graphing_systems_of_equations" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 19.0, + "seconds_per_fast_problem": 15.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-a-line/e/distance_between_point_and_line/", + "path": "/math/trigonometry/graphs/parallel_perpendicular/e/distance_between_point_and_line/", "slug": "distance_between_point_and_line", "name": "distance_between_point_and_line" }, @@ -60037,7 +68844,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/multiplying_and_dividing_negative_numbers/", + "path": "/math/arithmetic/absolute-value/mult_div_negatives/e/multiplying_and_dividing_negative_numbers/", "slug": "multiplying_and_dividing_negative_numbers", "name": "multiplying_and_dividing_negative_numbers" }, @@ -60054,7 +68861,7 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/algebra/complex-numbers/e/the_complex_plane/", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc/e/the_complex_plane/", "slug": "the_complex_plane", "name": "the_complex_plane" }, @@ -60073,20 +68880,22 @@ "slug": "one_step_equation_intuition", "name": "one_step_equation_intuition" }, - "logical_arguments_deductive_reasoning": { + "inscribed_angles_3": { "kind": "Exercise", - "display_name": "Logical arguments and deductive reasoning", - "description": "Use given conditional statements to come to a logical conclusion, if possible.", - "title": "Logical arguments and deductive reasoning", + "display_name": "Inscribed angles 3", + "description": null, + "title": "Inscribed angles 3", "prerequisites": [ - "converse_inverse_and_contrapositive" + "inscribed_angles_2" + ], + "related_video_readable_ids": [ + "inscribed-and-central-angles" ], - "related_video_readable_ids": [], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/geometry/logical-reasoning/e/logical_arguments_deductive_reasoning/", - "slug": "logical_arguments_deductive_reasoning", - "name": "logical_arguments_deductive_reasoning" + "path": "/math/geometry/circles/e/inscribed_angles_3/", + "slug": "inscribed_angles_3", + "name": "inscribed_angles_3" }, "imaginary_unit_powers": { "kind": "Exercise", @@ -60100,29 +68909,28 @@ "introduction-to-i-and-imaginary-numbers", "calculating-i-raised-to-arbitrary-exponents" ], - "seconds_per_fast_problem": 5.0, + "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/algebra/complex-numbers/e/imaginary_unit_powers/", + "path": "/math/trigonometry/imaginary_complex_precalc/i_precalc/e/imaginary_unit_powers/", "slug": "imaginary_unit_powers", "name": "imaginary_unit_powers" }, - "radians_and_degrees": { + "multiplying_fractions_0.5": { "kind": "Exercise", - "display_name": "Radians and degrees", - "description": null, - "title": "Radians and degrees", + "display_name": "Multiplying fractions 0.5", + "description": "Multiplying positive fractions with simplification", + "title": "Multiplying fractions 0.5", "prerequisites": [ - "radians_to_degrees", - "degrees_to_radians" + "simplifying_fractions" ], "related_video_readable_ids": [ - "radians-and-degrees" + "multiplying-fractions" ], - "seconds_per_fast_problem": 11.0, + "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/trigonometry/e/radians_and_degrees/", - "slug": "radians_and_degrees", - "name": "radians_and_degrees" + "path": "/math/arithmetic/fractions/multiplying_and_dividing_frac/e/multiplying_fractions_0.5/", + "slug": "multiplying_fractions_0.5", + "name": "multiplying_fractions_0.5" }, "adding_decimals": { "kind": "Exercise", @@ -60138,7 +68946,7 @@ ], "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/arithmetic/decimals/e/adding_decimals/", + "path": "/math/arithmetic/decimals/adding_decimals/e/adding_decimals/", "slug": "adding_decimals", "name": "adding_decimals" }, @@ -60156,7 +68964,7 @@ ], "seconds_per_fast_problem": 4.0, "live": true, - "path": "/math/algebra/algebra-functions/e/even_and_odd_functions/", + "path": "/math/trigonometry/functions_and_graphs/analyzing_functions/e/even_and_odd_functions/", "slug": "even_and_odd_functions", "name": "even_and_odd_functions" }, @@ -60190,7 +68998,7 @@ ], "seconds_per_fast_problem": 14.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-a-line/e/graphing_linear_equations/", + "path": "/math/trigonometry/graphs/line_equation/e/graphing_linear_equations/", "slug": "graphing_linear_equations", "name": "graphing_linear_equations" }, @@ -60207,7 +69015,7 @@ ], "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/trigonometry/e/degrees_to_radians/", + "path": "/math/trigonometry/basic-trigonometry/radians_tutorial/e/degrees_to_radians/", "slug": "degrees_to_radians", "name": "degrees_to_radians" }, @@ -60226,7 +69034,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/multiplication_1.5/", + "path": "/math/arithmetic/multiplication-division/multi_digit_multiplication/e/multiplication_1.5/", "slug": "multiplication_1.5", "name": "multiplication_1.5" }, @@ -60244,9 +69052,9 @@ "converting-fractions-to-decimals-example", "converting-fractions-to-decimals" ], - "seconds_per_fast_problem": 13.0, + "seconds_per_fast_problem": 14.0, "live": true, - "path": "/math/arithmetic/fractions/e/converting_fractions_to_decimals/", + "path": "/math/arithmetic/fractions/decimals_fractions/e/converting_fractions_to_decimals/", "slug": "converting_fractions_to_decimals", "name": "converting_fractions_to_decimals" }, @@ -60263,7 +69071,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/geometry/basic-geometry/e/radius_diameter_and_circumference/", + "path": "/math/geometry/basic-geometry/circum_area_circles/e/radius_diameter_and_circumference/", "slug": "radius_diameter_and_circumference", "name": "radius_diameter_and_circumference" }, @@ -60277,9 +69085,9 @@ "completing_the_square_1" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 35.0, + "seconds_per_fast_problem": 33.0, "live": true, - "path": "/math/algebra/quadratics/e/vertex_of_a_parabola/", + "path": "/math/trigonometry/polynomial_and_rational/solving_graphing_quadratics/e/vertex_of_a_parabola/", "slug": "vertex_of_a_parabola", "name": "vertex_of_a_parabola" }, @@ -60295,9 +69103,9 @@ "coverting-repeating-decimals-to-fractions-1", "coverting-repeating-decimals-to-fractions-2" ], - "seconds_per_fast_problem": 7.0, + "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/e/converting_repeating_decimals_to_fractions_1/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals/e/converting_repeating_decimals_to_fractions_1/", "slug": "converting_repeating_decimals_to_fractions_1", "name": "converting_repeating_decimals_to_fractions_1" }, @@ -60313,9 +69121,9 @@ "coverting-repeating-decimals-to-fractions-1", "coverting-repeating-decimals-to-fractions-2" ], - "seconds_per_fast_problem": 24.0, + "seconds_per_fast_problem": 25.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/e/converting_repeating_decimals_to_fractions_2/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals/e/converting_repeating_decimals_to_fractions_2/", "slug": "converting_repeating_decimals_to_fractions_2", "name": "converting_repeating_decimals_to_fractions_2" }, @@ -60330,7 +69138,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 16.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane/e/identifying_points_2/", + "path": "/math/trigonometry/graphs/graphing_coordinates/e/identifying_points_2/", "slug": "identifying_points_2", "name": "identifying_points_2" }, @@ -60345,7 +69153,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 15.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane/e/identifying_points_1/", + "path": "/math/trigonometry/graphs/graphing_coordinates/e/identifying_points_1/", "slug": "identifying_points_1", "name": "identifying_points_1" }, @@ -60360,9 +69168,9 @@ "related_video_readable_ids": [ "box-and-whisker-plots" ], - "seconds_per_fast_problem": 53.0, + "seconds_per_fast_problem": 49.0, "live": true, - "path": "/math/statistics/e/creating_box_and_whisker_plots/", + "path": "/math/probability/descriptive-statistics/Box-and-whisker plots/e/creating_box_and_whisker_plots/", "slug": "creating_box_and_whisker_plots", "name": "creating_box_and_whisker_plots" }, @@ -60378,7 +69186,7 @@ "related_video_readable_ids": [ "variables-and-expressions-1" ], - "seconds_per_fast_problem": 7.0, + "seconds_per_fast_problem": 8.0, "live": true, "path": "/math/algebra/solving-linear-equations-and-inequalities/variable-and-expressions/e/evaluating_expressions_1/", "slug": "evaluating_expressions_1", @@ -60395,7 +69203,7 @@ "related_video_readable_ids": [ "evaluating-expressions-with-two-variables" ], - "seconds_per_fast_problem": 22.0, + "seconds_per_fast_problem": 23.0, "live": true, "path": "/math/algebra/solving-linear-equations-and-inequalities/variable-and-expressions/e/evaluating_expressions_2/", "slug": "evaluating_expressions_2", @@ -60413,9 +69221,9 @@ "related_video_readable_ids": [ "product-rule" ], - "seconds_per_fast_problem": 11.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/calculus/differential-calculus/e/product_rule/", + "path": "/math/calculus/differential-calculus/product_rule/e/product_rule/", "slug": "product_rule", "name": "product_rule" }, @@ -60430,7 +69238,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/geometry/segments-and-angles/e/measuring_segments/", + "path": "/math/geometry/segments-and-angles/intro_euclid/e/measuring_segments/", "slug": "measuring_segments", "name": "measuring_segments" }, @@ -60447,7 +69255,7 @@ ], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/arithmetic/order-of-operations/e/distributive_property/", + "path": "/math/arithmetic/multiplication-division/ditributive_property/e/distributive_property/", "slug": "distributive_property", "name": "distributive_property" }, @@ -60463,7 +69271,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/algebra/polynomials/e/factoring_difference_of_squares_1/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/e/factoring_difference_of_squares_1/", "slug": "factoring_difference_of_squares_1", "name": "factoring_difference_of_squares_1" }, @@ -60476,9 +69284,9 @@ "factoring_difference_of_squares_1" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 14.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/algebra/polynomials/e/factoring_difference_of_squares_2/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/e/factoring_difference_of_squares_2/", "slug": "factoring_difference_of_squares_2", "name": "factoring_difference_of_squares_2" }, @@ -60491,9 +69299,9 @@ "factoring_difference_of_squares_2" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 26.0, + "seconds_per_fast_problem": 21.0, "live": true, - "path": "/math/algebra/polynomials/e/factoring_difference_of_squares_3/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/e/factoring_difference_of_squares_3/", "slug": "factoring_difference_of_squares_3", "name": "factoring_difference_of_squares_3" }, @@ -60510,9 +69318,9 @@ "heron-s-formula", "part-1-of-proof-of-heron-s-formula" ], - "seconds_per_fast_problem": 38.0, + "seconds_per_fast_problem": 43.0, "live": true, - "path": "/math/geometry/area--perimeter--and-volume/e/herons_formula/", + "path": "/math/geometry/basic-geometry/heron_formula_tutorial/e/herons_formula/", "slug": "herons_formula", "name": "herons_formula" }, @@ -60530,7 +69338,7 @@ ], "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/e/line_graph_intuition/", + "path": "/math/trigonometry/graphs/slope_of_line/e/line_graph_intuition/", "slug": "line_graph_intuition", "name": "line_graph_intuition" }, @@ -60547,7 +69355,7 @@ ], "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/arithmetic/rates-and-ratios/e/expressing_ratios_as_fractions/", + "path": "/math/arithmetic/rates-and-ratios/ratios_and_proportions/e/expressing_ratios_as_fractions/", "slug": "expressing_ratios_as_fractions", "name": "expressing_ratios_as_fractions" }, @@ -60563,9 +69371,9 @@ "complex-conjugates-example", "dividing-complex-numbers" ], - "seconds_per_fast_problem": 36.0, + "seconds_per_fast_problem": 35.0, "live": true, - "path": "/math/algebra/complex-numbers/e/dividing_complex_numbers/", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc/e/dividing_complex_numbers/", "slug": "dividing_complex_numbers", "name": "dividing_complex_numbers" }, @@ -60580,7 +69388,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/algebra/algebra-matrices/e/defined_and_undefined_matrix_operations/", + "path": "/math/algebra/algebra-matrices/matrix_multiplication/e/defined_and_undefined_matrix_operations/", "slug": "defined_and_undefined_matrix_operations", "name": "defined_and_undefined_matrix_operations" }, @@ -60595,9 +69403,9 @@ "related_video_readable_ids": [ "dividing-fractions-word-problem" ], - "seconds_per_fast_problem": 18.0, + "seconds_per_fast_problem": 17.0, "live": true, - "path": "/math/arithmetic/fractions/e/dividing_fractions_word_problems/", + "path": "/math/arithmetic/fractions/multiplying_and_dividing_frac/e/dividing_fractions_word_problems/", "slug": "dividing_fractions_word_problems", "name": "dividing_fractions_word_problems" }, @@ -60617,7 +69425,7 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/algebra/algebra-functions/e/functions_1/", + "path": "/math/trigonometry/functions_and_graphs/function_introduction/e/functions_1/", "slug": "functions_1", "name": "functions_1" }, @@ -60634,9 +69442,9 @@ "functions-part-2", "functions--part-iii" ], - "seconds_per_fast_problem": 48.0, + "seconds_per_fast_problem": 39.0, "live": true, - "path": "/math/algebra/algebra-functions/e/functions_3/", + "path": "/math/trigonometry/functions_and_graphs/function_introduction/e/functions_3/", "slug": "functions_3", "name": "functions_3" }, @@ -60653,9 +69461,9 @@ "functions--part-iii", "functions--part-4" ], - "seconds_per_fast_problem": 27.0, + "seconds_per_fast_problem": 24.0, "live": true, - "path": "/math/algebra/algebra-functions/e/functions_2/", + "path": "/math/trigonometry/functions_and_graphs/function_introduction/e/functions_2/", "slug": "functions_2", "name": "functions_2" }, @@ -60677,7 +69485,7 @@ ], "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/geometry/area--perimeter--and-volume/e/solid_geometry/", + "path": "/math/geometry/basic-geometry/volume_tutorial/e/solid_geometry/", "slug": "solid_geometry", "name": "solid_geometry" }, @@ -60695,9 +69503,9 @@ "the-chain-rule", "chain-rule-examples" ], - "seconds_per_fast_problem": 10.0, + "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/calculus/differential-calculus/e/chain_rule_1/", + "path": "/math/calculus/differential-calculus/chain_rule/e/chain_rule_1/", "slug": "chain_rule_1", "name": "chain_rule_1" }, @@ -60714,7 +69522,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/algebra/algebra-matrices/e/matrix_dimensions/", + "path": "/math/algebra/algebra-matrices/Basic_matrix_operations/e/matrix_dimensions/", "slug": "matrix_dimensions", "name": "matrix_dimensions" }, @@ -60729,23 +69537,10 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/geometry/basic-geometry/e/perimeter_1/", + "path": "/math/geometry/basic-geometry/perimeter_area_basics/e/perimeter_1/", "slug": "perimeter_1", "name": "perimeter_1" }, - "ordering_objects": { - "kind": "Exercise", - "display_name": "Ordering objects", - "description": "", - "title": "Ordering objects", - "prerequisites": [], - "related_video_readable_ids": [], - "seconds_per_fast_problem": 5.0, - "live": false, - "path": "/math/geometry/basic-geometry/e/ordering_objects/", - "slug": "ordering_objects", - "name": "ordering_objects" - }, "equation_of_a_hyperbola": { "kind": "Exercise", "display_name": "Equation of a hyperbola", @@ -60761,7 +69556,7 @@ ], "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/algebra/conic-sections/e/equation_of_a_hyperbola/", + "path": "/math/trigonometry/conics_precalc/hyperbolas-precalc/e/equation_of_a_hyperbola/", "slug": "equation_of_a_hyperbola", "name": "equation_of_a_hyperbola" }, @@ -60779,9 +69574,9 @@ "related_video_readable_ids": [ "introduction-to-limits--hd" ], - "seconds_per_fast_problem": 7.0, + "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/calculus/differential-calculus/e/limits_1/", + "path": "/math/calculus/limits_topic/limits_tutorial/e/limits_1/", "slug": "limits_1", "name": "limits_1" }, @@ -60801,7 +69596,7 @@ ], "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/e/slope_of_a_line/", + "path": "/math/trigonometry/graphs/slope_of_line/e/slope_of_a_line/", "slug": "slope_of_a_line", "name": "slope_of_a_line" }, @@ -60818,9 +69613,9 @@ "solving-systems-by-elimination-2", "solving-systems-by-elimination-3" ], - "seconds_per_fast_problem": 60.0, + "seconds_per_fast_problem": 53.0, "live": true, - "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/e/systems_of_equations_with_elimination/", + "path": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc/e/systems_of_equations_with_elimination/", "slug": "systems_of_equations_with_elimination", "name": "systems_of_equations_with_elimination" }, @@ -60834,9 +69629,9 @@ "subtraction_2" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 10.0, + "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/arithmetic_word_problems_1/", + "path": "/math/arithmetic/addition-subtraction/add_sub_word_problems/e/arithmetic_word_problems_1/", "slug": "arithmetic_word_problems_1", "name": "arithmetic_word_problems_1" }, @@ -60853,9 +69648,9 @@ "multiplying-whole-numbers-and-applications-4", "multiplying-whole-numbers-and-applications-6" ], - "seconds_per_fast_problem": 7.0, + "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/arithmetic_word_problems_2/", + "path": "/math/arithmetic/multiplication-division/delightful_division/e/arithmetic_word_problems_2/", "slug": "arithmetic_word_problems_2", "name": "arithmetic_word_problems_2" }, @@ -60902,9 +69697,9 @@ "dividing-decimals", "dividing-decimal" ], - "seconds_per_fast_problem": 14.0, + "seconds_per_fast_problem": 16.0, "live": true, - "path": "/math/arithmetic/decimals/e/dividing_decimals_1/", + "path": "/math/arithmetic/decimals/dividing_decimals/e/dividing_decimals_1/", "slug": "dividing_decimals_1", "name": "dividing_decimals_1" }, @@ -60923,7 +69718,7 @@ ], "seconds_per_fast_problem": 25.0, "live": true, - "path": "/math/arithmetic/fractions/e/subtracting_fractions/", + "path": "/math/arithmetic/fractions/Adding_and_subtracting_fractions/e/subtracting_fractions/", "slug": "subtracting_fractions", "name": "subtracting_fractions" }, @@ -60941,7 +69736,7 @@ ], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/geometry/basic-geometry/e/area_of_a_circle/", + "path": "/math/geometry/basic-geometry/circum_area_circles/e/area_of_a_circle/", "slug": "area_of_a_circle", "name": "area_of_a_circle" }, @@ -60956,9 +69751,9 @@ "related_video_readable_ids": [ "decimals-and-fractions" ], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/arithmetic/fractions/e/converting_decimals_to_fractions_2/", + "path": "/math/arithmetic/fractions/decimals_fractions/e/converting_decimals_to_fractions_2/", "slug": "converting_decimals_to_fractions_2", "name": "converting_decimals_to_fractions_2" }, @@ -60973,7 +69768,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 20.0, "live": true, - "path": "/math/algebra/polynomials/e/factoring_polynomials_with_two_variables/", + "path": "/math/algebra/quadratics/factoring_quadratics/e/factoring_polynomials_with_two_variables/", "slug": "factoring_polynomials_with_two_variables", "name": "factoring_polynomials_with_two_variables" }, @@ -60994,23 +69789,6 @@ "slug": "cube_roots", "name": "cube_roots" }, - "multiplying_fractions_0.5": { - "kind": "Exercise", - "display_name": "Multiplying fractions 0.5", - "description": "Multiplying positive fractions with simplification", - "title": "Multiplying fractions 0.5", - "prerequisites": [ - "simplifying_fractions" - ], - "related_video_readable_ids": [ - "multiplying-fractions" - ], - "seconds_per_fast_problem": 9.0, - "live": true, - "path": "/math/arithmetic/fractions/e/multiplying_fractions_0.5/", - "slug": "multiplying_fractions_0.5", - "name": "multiplying_fractions_0.5" - }, "quadrilateral_angles": { "kind": "Exercise", "display_name": "Quadrilateral angles", @@ -61035,9 +69813,9 @@ "division_2" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 5.0, + "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/counting_1/", + "path": "/math/arithmetic/multiplication-division/long_division/e/counting_1/", "slug": "counting_1", "name": "counting_1" }, @@ -61053,10 +69831,28 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/probability/e/counting_2/", + "path": "/math/probability/probability-and-combinatorics-topic/permutations_and_combinations/e/counting_2/", "slug": "counting_2", "name": "counting_2" }, + "radians_and_degrees": { + "kind": "Exercise", + "display_name": "Radians and degrees", + "description": null, + "title": "Radians and degrees", + "prerequisites": [ + "radians_to_degrees", + "degrees_to_radians" + ], + "related_video_readable_ids": [ + "radians-and-degrees" + ], + "seconds_per_fast_problem": 11.0, + "live": true, + "path": "/math/trigonometry/basic-trigonometry/radians_tutorial/e/radians_and_degrees/", + "slug": "radians_and_degrees", + "name": "radians_and_degrees" + }, "trigonometry_0.5": { "kind": "Exercise", "display_name": "Trigonometry 0.5", @@ -61067,9 +69863,9 @@ "radians_and_degrees" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 10.0, + "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/trigonometry/e/trigonometry_0.5/", + "path": "/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_0.5/", "slug": "trigonometry_0.5", "name": "trigonometry_0.5" }, @@ -61084,7 +69880,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 22.0, "live": true, - "path": "/math/algebra/quadratics/e/solving_quadratics_by_factoring_2/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/e/solving_quadratics_by_factoring_2/", "slug": "solving_quadratics_by_factoring_2", "name": "solving_quadratics_by_factoring_2" }, @@ -61101,7 +69897,7 @@ ], "seconds_per_fast_problem": 49.0, "live": true, - "path": "/math/statistics/e/z_scores_3/", + "path": "/math/probability/statistics-inferential/normal_distribution/e/z_scores_3/", "slug": "z_scores_3", "name": "z_scores_3" }, @@ -61118,7 +69914,7 @@ ], "seconds_per_fast_problem": 21.0, "live": true, - "path": "/math/statistics/e/z_scores_2/", + "path": "/math/probability/statistics-inferential/normal_distribution/e/z_scores_2/", "slug": "z_scores_2", "name": "z_scores_2" }, @@ -61134,9 +69930,9 @@ "related_video_readable_ids": [ "ck12-org-normal-distribution-problems--z-score" ], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/statistics/e/z_scores_1/", + "path": "/math/probability/statistics-inferential/normal_distribution/e/z_scores_1/", "slug": "z_scores_1", "name": "z_scores_1" }, @@ -61154,7 +69950,7 @@ ], "seconds_per_fast_problem": 4.0, "live": true, - "path": "/math/geometry/segments-and-angles/e/angle_types/", + "path": "/math/geometry/parallel-and-perpendicular-lines/Angle_basics/e/angle_types/", "slug": "angle_types", "name": "angle_types" }, @@ -61171,7 +69967,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/decimals/e/decimals_on_the_number_line_2/", + "path": "/math/arithmetic/decimals/decimal_place_value/e/decimals_on_the_number_line_2/", "slug": "decimals_on_the_number_line_2", "name": "decimals_on_the_number_line_2" }, @@ -61185,9 +69981,9 @@ "expressing_ratios_as_fractions" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 7.0, + "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/arithmetic/rates-and-ratios/e/proportions_1/", + "path": "/math/arithmetic/rates-and-ratios/ratios_and_proportions/e/proportions_1/", "slug": "proportions_1", "name": "proportions_1" }, @@ -61200,9 +69996,9 @@ "proportions_1" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 16.0, + "seconds_per_fast_problem": 17.0, "live": true, - "path": "/math/arithmetic/rates-and-ratios/e/proportions_2/", + "path": "/math/arithmetic/rates-and-ratios/ratios_and_proportions/e/proportions_2/", "slug": "proportions_2", "name": "proportions_2" }, @@ -61222,7 +70018,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/geometry/parallel-and-perpendicular-lines/e/parallel_lines_1/", + "path": "/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/parallel_lines_1/", "slug": "parallel_lines_1", "name": "parallel_lines_1" }, @@ -61243,9 +70039,9 @@ "angles-formed-between-transversals-and-parallel-lines", "angles-formed-by-parallel-lines-and-transversals" ], - "seconds_per_fast_problem": 24.0, + "seconds_per_fast_problem": 23.0, "live": true, - "path": "/math/geometry/parallel-and-perpendicular-lines/e/parallel_lines_2/", + "path": "/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/parallel_lines_2/", "slug": "parallel_lines_2", "name": "parallel_lines_2" }, @@ -61261,9 +70057,9 @@ "ca-algebra-i--completing-the-square", "conic-sections--intro-to-circles" ], - "seconds_per_fast_problem": 29.0, + "seconds_per_fast_problem": 25.0, "live": true, - "path": "/math/algebra/conic-sections/e/equation_of_a_circle_2/", + "path": "/math/trigonometry/conics_precalc/circles-tutorial-precalc/e/equation_of_a_circle_2/", "slug": "equation_of_a_circle_2", "name": "equation_of_a_circle_2" }, @@ -61278,9 +70074,9 @@ "related_video_readable_ids": [ "conic-sections--intro-to-circles" ], - "seconds_per_fast_problem": 7.0, + "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/algebra/conic-sections/e/equation_of_a_circle_1/", + "path": "/math/trigonometry/conics_precalc/circles-tutorial-precalc/e/equation_of_a_circle_1/", "slug": "equation_of_a_circle_1", "name": "equation_of_a_circle_1" }, @@ -61298,9 +70094,9 @@ "matrix-multiplication--part-1", "matrix-multiplication--part-2" ], - "seconds_per_fast_problem": 38.0, + "seconds_per_fast_problem": 37.0, "live": true, - "path": "/math/algebra/algebra-matrices/e/multiplying_a_matrix_by_a_matrix/", + "path": "/math/algebra/algebra-matrices/matrix_multiplication/e/multiplying_a_matrix_by_a_matrix/", "slug": "multiplying_a_matrix_by_a_matrix", "name": "multiplying_a_matrix_by_a_matrix" }, @@ -61317,7 +70113,7 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/algebra/logarithms-tutorial/e/logarithms_1.5/", + "path": "/math/algebra/logarithms-tutorial/logarithm_basics/e/logarithms_1.5/", "slug": "logarithms_1.5", "name": "logarithms_1.5" }, @@ -61332,7 +70128,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/arithmetic/decimals/e/dividing_decimals_0.5/", + "path": "/math/arithmetic/decimals/dividing_decimals/e/dividing_decimals_0.5/", "slug": "dividing_decimals_0.5", "name": "dividing_decimals_0.5" }, @@ -61348,9 +70144,9 @@ "related_video_readable_ids": [ "identifying-fraction-parts" ], - "seconds_per_fast_problem": 9.0, + "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/arithmetic/fractions/e/fraction_word_problems_1/", + "path": "/math/arithmetic/fractions/understanding_fractions/e/fraction_word_problems_1/", "slug": "fraction_word_problems_1", "name": "fraction_word_problems_1" }, @@ -61370,7 +70166,7 @@ ], "seconds_per_fast_problem": 12.0, "live": false, - "path": "/math/trigonometry/e/trig_identities_1/", + "path": "/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/e/trig_identities_1/", "slug": "trig_identities_1", "name": "trig_identities_1" }, @@ -61385,9 +70181,9 @@ "related_video_readable_ids": [ "using-the-quadratic-formula" ], - "seconds_per_fast_problem": 25.0, + "seconds_per_fast_problem": 22.0, "live": true, - "path": "/math/algebra/quadratics/e/quadratic_equation/", + "path": "/math/trigonometry/polynomial_and_rational/quad_formula_tutorial/e/quadratic_equation/", "slug": "quadratic_equation", "name": "quadratic_equation" }, @@ -61424,7 +70220,7 @@ ], "seconds_per_fast_problem": 21.0, "live": true, - "path": "/math/arithmetic/decimals/e/multiplying_decimals/", + "path": "/math/arithmetic/decimals/multiplying_decimals/e/multiplying_decimals/", "slug": "multiplying_decimals", "name": "multiplying_decimals" }, @@ -61440,9 +70236,9 @@ "related_video_readable_ids": [ "proof-vertical-angles-are-equal" ], - "seconds_per_fast_problem": 22.0, + "seconds_per_fast_problem": 19.0, "live": true, - "path": "/math/geometry/segments-and-angles/e/vertical_angles_2/", + "path": "/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/vertical_angles_2/", "slug": "vertical_angles_2", "name": "vertical_angles_2" }, @@ -61460,7 +70256,7 @@ ], "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/arithmetic/decimals/e/dividing_decimals_2/", + "path": "/math/arithmetic/decimals/dividing_decimals/e/dividing_decimals_2/", "slug": "dividing_decimals_2", "name": "dividing_decimals_2" }, @@ -61473,9 +70269,9 @@ "functions_2" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 37.0, + "seconds_per_fast_problem": 32.0, "live": true, - "path": "/math/algebra/algebra-functions/e/views_of_a_function/", + "path": "/math/algebra/algebra-functions/graphing_functions/e/views_of_a_function/", "slug": "views_of_a_function", "name": "views_of_a_function" }, @@ -61488,9 +70284,9 @@ "recognizing_rays_lines_and_line_segments" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 6.0, + "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/geometry/segments-and-angles/e/points_lines_and_planes/", + "path": "/math/geometry/segments-and-angles/intro_euclid/e/points_lines_and_planes/", "slug": "points_lines_and_planes", "name": "points_lines_and_planes" }, @@ -61507,7 +70303,7 @@ ], "seconds_per_fast_problem": 22.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/e/point_slope_form/", + "path": "/math/trigonometry/graphs/line_equation/e/point_slope_form/", "slug": "point_slope_form", "name": "point_slope_form" }, @@ -61525,7 +70321,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/decimals/e/significant_figures_1/", + "path": "/math/arithmetic/decimals/significant_figures_tutorial/e/significant_figures_1/", "slug": "significant_figures_1", "name": "significant_figures_1" }, @@ -61540,7 +70336,7 @@ "related_video_readable_ids": [ "level-2-exponents" ], - "seconds_per_fast_problem": 7.0, + "seconds_per_fast_problem": 8.0, "live": true, "path": "/math/arithmetic/exponents-radicals/world-of-exponents/e/exponents_2/", "slug": "exponents_2", @@ -61572,9 +70368,9 @@ "radians_and_degrees" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 17.0, + "seconds_per_fast_problem": 16.0, "live": true, - "path": "/math/trigonometry/e/unit_circle/", + "path": "/math/trigonometry/basic-trigonometry/unit_circle_tut/e/unit_circle/", "slug": "unit_circle", "name": "unit_circle" }, @@ -61606,7 +70402,7 @@ "related_video_readable_ids": [ "level-3-exponents" ], - "seconds_per_fast_problem": 15.0, + "seconds_per_fast_problem": 17.0, "live": true, "path": "/math/arithmetic/exponents-radicals/world-of-exponents/e/exponents_4/", "slug": "exponents_4", @@ -61623,9 +70419,9 @@ "related_video_readable_ids": [ "adding-and-subtracting-polynomials-1" ], - "seconds_per_fast_problem": 16.0, + "seconds_per_fast_problem": 17.0, "live": true, - "path": "/math/algebra/polynomials/e/adding_and_subtracting_polynomials/", + "path": "/math/trigonometry/polynomial_and_rational/polynomial_tutorial/e/adding_and_subtracting_polynomials/", "slug": "adding_and_subtracting_polynomials", "name": "adding_and_subtracting_polynomials" }, @@ -61640,9 +70436,9 @@ "related_video_readable_ids": [ "addition-4" ], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/addition_4/", + "path": "/math/arithmetic/addition-subtraction/addition_carrying/e/addition_4/", "slug": "addition_4", "name": "addition_4" }, @@ -61658,9 +70454,9 @@ "addition-3", "addition-4" ], - "seconds_per_fast_problem": 8.0, + "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/addition_3/", + "path": "/math/arithmetic/addition-subtraction/addition_carrying/e/addition_3/", "slug": "addition_3", "name": "addition_3" }, @@ -61680,7 +70476,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/addition_2/", + "path": "/math/arithmetic/addition-subtraction/two_dig_add_sub/e/addition_2/", "slug": "addition_2", "name": "addition_2" }, @@ -61693,9 +70489,9 @@ "related_video_readable_ids": [ "basic-addition" ], - "seconds_per_fast_problem": 4.0, + "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/addition_1/", + "path": "/math/arithmetic/addition-subtraction/basic_addition/e/addition_1/", "slug": "addition_1", "name": "addition_1" }, @@ -61707,13 +70503,10 @@ "prerequisites": [ "arithmetic_word_problems_2" ], - "related_video_readable_ids": [ - "word-problem-solving-plan-1", - "word-problem-solving-strategies" - ], - "seconds_per_fast_problem": 14.0, + "related_video_readable_ids": [], + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/arithmetic_word_problems/", + "path": "/math/arithmetic/multiplication-division/long_division/e/arithmetic_word_problems/", "slug": "arithmetic_word_problems", "name": "arithmetic_word_problems" }, @@ -61728,9 +70521,9 @@ "related_video_readable_ids": [ "conic-sections--intro-to-ellipses" ], - "seconds_per_fast_problem": 10.0, + "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/algebra/conic-sections/e/equation_of_an_ellipse/", + "path": "/math/trigonometry/conics_precalc/ellipses-precalc/e/equation_of_an_ellipse/", "slug": "equation_of_an_ellipse", "name": "equation_of_an_ellipse" }, @@ -61746,7 +70539,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/statistics/e/reading_bar_charts_3/", + "path": "/math/arithmetic/interpreting-data-topic/reading_data/e/reading_bar_charts_3/", "slug": "reading_bar_charts_3", "name": "reading_bar_charts_3" }, @@ -61763,7 +70556,7 @@ ], "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/statistics/e/reading_bar_charts_2/", + "path": "/math/arithmetic/interpreting-data-topic/reading_data/e/reading_bar_charts_2/", "slug": "reading_bar_charts_2", "name": "reading_bar_charts_2" }, @@ -61776,9 +70569,9 @@ "reading_tables_2" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 5.0, + "seconds_per_fast_problem": 4.0, "live": true, - "path": "/math/statistics/e/reading_bar_charts_1/", + "path": "/math/arithmetic/interpreting-data-topic/reading_data/e/reading_bar_charts_1/", "slug": "reading_bar_charts_1", "name": "reading_bar_charts_1" }, @@ -61797,7 +70590,7 @@ ], "seconds_per_fast_problem": 60.0, "live": true, - "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/e/systems_of_equations_word_problems/", + "path": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc/e/systems_of_equations_word_problems/", "slug": "systems_of_equations_word_problems", "name": "systems_of_equations_word_problems" }, @@ -61817,9 +70610,9 @@ "special-types-of-linear-systems", "systems-of-equations" ], - "seconds_per_fast_problem": 53.0, + "seconds_per_fast_problem": 60.0, "live": true, - "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/e/systems_of_equations/", + "path": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc/e/systems_of_equations/", "slug": "systems_of_equations", "name": "systems_of_equations" }, @@ -61832,9 +70625,9 @@ "recognizing_fractions_0.5" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 4.0, + "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/fractions/e/fractions_on_the_number_line_1/", + "path": "/math/arithmetic/fractions/understanding_fractions/e/fractions_on_the_number_line_1/", "slug": "fractions_on_the_number_line_1", "name": "fractions_on_the_number_line_1" }, @@ -61850,9 +70643,9 @@ "related_video_readable_ids": [ "linear-equations-in-point-slope-form" ], - "seconds_per_fast_problem": 15.0, + "seconds_per_fast_problem": 14.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/e/converting_between_point_slope_and_slope_intercept/", + "path": "/math/trigonometry/graphs/line_equation/e/converting_between_point_slope_and_slope_intercept/", "slug": "converting_between_point_slope_and_slope_intercept", "name": "converting_between_point_slope_and_slope_intercept" }, @@ -61867,7 +70660,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/arithmetic/fractions/e/fractions_on_the_number_line_2/", + "path": "/math/arithmetic/fractions/mixed_numbers/e/fractions_on_the_number_line_2/", "slug": "fractions_on_the_number_line_2", "name": "fractions_on_the_number_line_2" }, @@ -61885,7 +70678,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/fractions/e/subtracting_fractions_with_common_denominators/", + "path": "/math/arithmetic/fractions/Adding_and_subtracting_fractions/e/subtracting_fractions_with_common_denominators/", "slug": "subtracting_fractions_with_common_denominators", "name": "subtracting_fractions_with_common_denominators" }, @@ -61900,9 +70693,9 @@ "related_video_readable_ids": [ "basic-rate-problem" ], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/arithmetic/rates-and-ratios/e/rate_problems_0.5/", + "path": "/math/arithmetic/rates-and-ratios/rates_tutorial/e/rate_problems_0.5/", "slug": "rate_problems_0.5", "name": "rate_problems_0.5" }, @@ -61917,26 +70710,28 @@ "related_video_readable_ids": [ "lebron-asks-about-the-chances-of-making-10-free-throws" ], - "seconds_per_fast_problem": 10.0, + "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/probability/e/independent_probability/", + "path": "/math/probability/independent-dependent-probability/independent_events/e/independent_probability/", "slug": "independent_probability", "name": "independent_probability" }, - "creating_bar_charts_1": { + "one_step_inequalities": { "kind": "Exercise", - "display_name": "Creating bar charts 1", - "description": null, - "title": "Creating bar charts 1", + "display_name": "One step inequalities", + "description": "Solve inequalities in one step.", + "title": "One step inequalities", "prerequisites": [ - "reading_bar_charts_1" + "inequalities_on_a_number_line" ], - "related_video_readable_ids": [], - "seconds_per_fast_problem": 23.0, + "related_video_readable_ids": [ + "one-step-inequalities" + ], + "seconds_per_fast_problem": 14.0, "live": true, - "path": "/math/statistics/e/creating_bar_charts_1/", - "slug": "creating_bar_charts_1", - "name": "creating_bar_charts_1" + "path": "/math/algebra/linear_inequalities/inequalities/e/one_step_inequalities/", + "slug": "one_step_inequalities", + "name": "one_step_inequalities" }, "combinations_1": { "kind": "Exercise", @@ -61950,9 +70745,9 @@ "combinations", "permutations-and-combinations-3" ], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/probability/e/combinations_1/", + "path": "/math/probability/probability-and-combinatorics-topic/permutations_and_combinations/e/combinations_1/", "slug": "combinations_1", "name": "combinations_1" }, @@ -61965,9 +70760,9 @@ "combinations_1" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/probability/e/permutations_and_combinations_2/", + "path": "/math/probability/probability-and-combinatorics-topic/permutations_and_combinations/e/permutations_and_combinations_2/", "slug": "permutations_and_combinations_2", "name": "permutations_and_combinations_2" }, @@ -61984,7 +70779,7 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/subtraction_2/", + "path": "/math/arithmetic/addition-subtraction/two_dig_add_sub/e/subtraction_2/", "slug": "subtraction_2", "name": "subtraction_2" }, @@ -62001,9 +70796,9 @@ "alternate-mental-subtraction-method", "why-borrowing-works" ], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/subtraction_3/", + "path": "/math/arithmetic/addition-subtraction/sub_borrowing/e/subtraction_3/", "slug": "subtraction_3", "name": "subtraction_3" }, @@ -62020,7 +70815,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/subtraction_1/", + "path": "/math/arithmetic/addition-subtraction/basic_addition/e/subtraction_1/", "slug": "subtraction_1", "name": "subtraction_1" }, @@ -62039,9 +70834,9 @@ "inequalities-using-multiplication-and-division", "multi-step-inequalities" ], - "seconds_per_fast_problem": 33.0, + "seconds_per_fast_problem": 31.5, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/inequalities/e/linear_inequalities/", + "path": "/math/algebra/linear_inequalities/inequalities/e/linear_inequalities/", "slug": "linear_inequalities", "name": "linear_inequalities" }, @@ -62056,9 +70851,9 @@ "related_video_readable_ids": [ "level-4-subtraction" ], - "seconds_per_fast_problem": 14.0, + "seconds_per_fast_problem": 15.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/subtraction_4/", + "path": "/math/arithmetic/addition-subtraction/sub_borrowing/e/subtraction_4/", "slug": "subtraction_4", "name": "subtraction_4" }, @@ -62074,9 +70869,9 @@ "converting-mixed-numbers-to-improper-fractions", "changing-an-improper-fraction-to-a-mixed-number" ], - "seconds_per_fast_problem": 22.0, + "seconds_per_fast_problem": 24.0, "live": true, - "path": "/math/arithmetic/fractions/e/ordering_improper_fractions_and_mixed_numbers/", + "path": "/math/arithmetic/fractions/mixed_numbers/e/ordering_improper_fractions_and_mixed_numbers/", "slug": "ordering_improper_fractions_and_mixed_numbers", "name": "ordering_improper_fractions_and_mixed_numbers" }, @@ -62092,9 +70887,9 @@ "solving-equations-with-the-distributive-property", "solving-equations-with-the-distributive-property-2" ], - "seconds_per_fast_problem": 38.0, + "seconds_per_fast_problem": 34.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/multistep_equations_with_distribution/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/e/multistep_equations_with_distribution/", "slug": "multistep_equations_with_distribution", "name": "multistep_equations_with_distribution" }, @@ -62107,9 +70902,9 @@ "angles_2" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 8.0, + "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/geometry/area--perimeter--and-volume/e/areas_of_trapezoids_rhombi_and_kites/", + "path": "/math/geometry/basic-geometry/area_non_standard/e/areas_of_trapezoids_rhombi_and_kites/", "slug": "areas_of_trapezoids_rhombi_and_kites", "name": "areas_of_trapezoids_rhombi_and_kites" }, @@ -62122,9 +70917,9 @@ "graphing_linear_equations" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 20.0, + "seconds_per_fast_problem": 19.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities/e/graphs_of_inequalities/", + "path": "/math/trigonometry/graphs/graphing_inequalities/e/graphs_of_inequalities/", "slug": "graphs_of_inequalities", "name": "graphs_of_inequalities" }, @@ -62153,9 +70948,9 @@ "areas_of_trapezoids_rhombi_and_kites" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 27.0, + "seconds_per_fast_problem": 37.0, "live": true, - "path": "/math/geometry/area--perimeter--and-volume/e/circles_and_arcs/", + "path": "/math/geometry/circles/e/circles_and_arcs/", "slug": "circles_and_arcs", "name": "circles_and_arcs" }, @@ -62171,9 +70966,9 @@ "greatest-common-divisor", "least-common-multiple" ], - "seconds_per_fast_problem": 13.0, + "seconds_per_fast_problem": 15.0, "live": true, - "path": "/math/arithmetic/factors-multiples/e/least_common_multiple_and_greatest_common_divisor_word_problems/", + "path": "/math/arithmetic/factors-multiples/greatest_common_divisor/e/least_common_multiple_and_greatest_common_divisor_word_problems/", "slug": "least_common_multiple_and_greatest_common_divisor_word_problems", "name": "least_common_multiple_and_greatest_common_divisor_word_problems" }, @@ -62192,7 +70987,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/order-of-operations/e/number_properties_terminology_1/", + "path": "/math/arithmetic/order-of-operations/arithmetic_properties/e/number_properties_terminology_1/", "slug": "number_properties_terminology_1", "name": "number_properties_terminology_1" }, @@ -62203,7 +70998,7 @@ "title": "Converse, inverse, and contrapositive", "prerequisites": [], "related_video_readable_ids": [], - "seconds_per_fast_problem": 9.0, + "seconds_per_fast_problem": 10.0, "live": true, "path": "/math/geometry/logical-reasoning/e/converse_inverse_and_contrapositive/", "slug": "converse_inverse_and_contrapositive", @@ -62224,7 +71019,7 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane/e/graphing_points/", + "path": "/math/trigonometry/graphs/graphing_coordinates/e/graphing_points/", "slug": "graphing_points", "name": "graphing_points" }, @@ -62241,9 +71036,9 @@ "place-value-3", "place-value-2" ], - "seconds_per_fast_problem": 5.0, + "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/arithmetic/decimals/e/place_value/", + "path": "/math/arithmetic/multiplication-division/place_value/e/place_value/", "slug": "place_value", "name": "place_value" }, @@ -62256,9 +71051,9 @@ "factoring_polynomials_1" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 19.0, + "seconds_per_fast_problem": 16.0, "live": true, - "path": "/math/algebra/quadratics/e/solving_quadratics_by_taking_the_square_root/", + "path": "/math/trigonometry/polynomial_and_rational/quad_formula_tutorial/e/solving_quadratics_by_taking_the_square_root/", "slug": "solving_quadratics_by_taking_the_square_root", "name": "solving_quadratics_by_taking_the_square_root" }, @@ -62273,9 +71068,9 @@ "related_video_readable_ids": [ "estimation-with-decimals" ], - "seconds_per_fast_problem": 13.0, + "seconds_per_fast_problem": 14.0, "live": true, - "path": "/math/arithmetic/decimals/e/estimation_with_decimals/", + "path": "/math/arithmetic/decimals/decimal_rounding_estimation/e/estimation_with_decimals/", "slug": "estimation_with_decimals", "name": "estimation_with_decimals" }, @@ -62288,9 +71083,9 @@ "multiplying_fractions_0.5" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 11.0, + "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/arithmetic/fractions/e/multiplying_fractions_word_problems/", + "path": "/math/arithmetic/fractions/multiplying_and_dividing_frac/e/multiplying_fractions_word_problems/", "slug": "multiplying_fractions_word_problems", "name": "multiplying_fractions_word_problems" }, @@ -62303,9 +71098,9 @@ "solving_similar_triangles_1" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 17.0, + "seconds_per_fast_problem": 20.0, "live": true, - "path": "/math/geometry/similarity/e/solving_similar_triangles_2/", + "path": "/math/geometry/similarity/triangle_similarlity/e/solving_similar_triangles_2/", "slug": "solving_similar_triangles_2", "name": "solving_similar_triangles_2" }, @@ -62320,9 +71115,9 @@ "related_video_readable_ids": [ "law-of-cosines" ], - "seconds_per_fast_problem": 42.0, + "seconds_per_fast_problem": 44.0, "live": true, - "path": "/math/trigonometry/e/law_of_cosines/", + "path": "/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/e/law_of_cosines/", "slug": "law_of_cosines", "name": "law_of_cosines" }, @@ -62337,9 +71132,9 @@ "related_video_readable_ids": [ "divisibility-intuition" ], - "seconds_per_fast_problem": 7.0, + "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/arithmetic/factors-multiples/e/divisibility_intuition/", + "path": "/math/arithmetic/factors-multiples/divisibility_and_factors/e/divisibility_intuition/", "slug": "divisibility_intuition", "name": "divisibility_intuition" }, @@ -62371,9 +71166,9 @@ "greatest-common-divisor", "recognizing-divisibility" ], - "seconds_per_fast_problem": 9.0, + "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/arithmetic/factors-multiples/e/divisibility/", + "path": "/math/arithmetic/factors-multiples/prime_factorization/e/divisibility/", "slug": "divisibility", "name": "divisibility" }, @@ -62403,9 +71198,9 @@ "related_video_readable_ids": [ "expected-value--e-x" ], - "seconds_per_fast_problem": 14.0, + "seconds_per_fast_problem": 16.0, "live": true, - "path": "/math/probability/e/expected_value/", + "path": "/math/probability/random-variables-topic/random_variables_prob_dist/e/expected_value/", "slug": "expected_value", "name": "expected_value" }, @@ -62418,9 +71213,9 @@ "variance" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 43.0, + "seconds_per_fast_problem": 38.0, "live": true, - "path": "/math/statistics/e/standard_deviation/", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/e/standard_deviation/", "slug": "standard_deviation", "name": "standard_deviation" }, @@ -62432,13 +71227,10 @@ "prerequisites": [ "linear_equations_4" ], - "related_video_readable_ids": [ - "solving-systems-of-equations-by-elimination", - "solving-3-equations-with-3-unknowns" - ], + "related_video_readable_ids": [], "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/e/expressions_with_unknown_variables/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars/e/expressions_with_unknown_variables/", "slug": "expressions_with_unknown_variables", "name": "expressions_with_unknown_variables" }, @@ -62455,7 +71247,7 @@ "absolute-value-equation-example-2", "absolute-value-equations" ], - "seconds_per_fast_problem": 36.0, + "seconds_per_fast_problem": 37.0, "live": true, "path": "/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/e/absolute_value_equations/", "slug": "absolute_value_equations", @@ -62473,7 +71265,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/algebra/complex-numbers/e/absolute_value_of_complex_numbers/", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc/e/absolute_value_of_complex_numbers/", "slug": "absolute_value_of_complex_numbers", "name": "absolute_value_of_complex_numbers" }, @@ -62488,7 +71280,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/arithmetic/fractions/e/dividing_fractions_0.5/", + "path": "/math/arithmetic/fractions/multiplying_and_dividing_frac/e/dividing_fractions_0.5/", "slug": "dividing_fractions_0.5", "name": "dividing_fractions_0.5" }, @@ -62505,7 +71297,7 @@ ], "seconds_per_fast_problem": 30.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/e/solving_for_the_y-intercept/", + "path": "/math/trigonometry/graphs/line_equation/e/solving_for_the_y-intercept/", "slug": "solving_for_the_y-intercept", "name": "solving_for_the_y-intercept" }, @@ -62521,9 +71313,9 @@ "example-of-solving-for-a-variable", "solving-for-a-variable-2" ], - "seconds_per_fast_problem": 48.0, + "seconds_per_fast_problem": 58.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/e/solving_for_a_variable/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/e/solving_for_a_variable/", "slug": "solving_for_a_variable", "name": "solving_for_a_variable" }, @@ -62541,7 +71333,7 @@ ], "seconds_per_fast_problem": 4.0, "live": true, - "path": "/math/arithmetic/absolute-value/e/comparing_absolute_values/", + "path": "/math/arithmetic/absolute-value/abs_value_tutorial/e/comparing_absolute_values/", "slug": "comparing_absolute_values", "name": "comparing_absolute_values" }, @@ -62555,9 +71347,9 @@ "congruent_angles" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 22.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/geometry/parallel-and-perpendicular-lines/e/corresponding_angles_2/", + "path": "/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/corresponding_angles_2/", "slug": "corresponding_angles_2", "name": "corresponding_angles_2" }, @@ -62574,9 +71366,9 @@ "adding-mixed-numbers", "subtracting-mixed-numbers" ], - "seconds_per_fast_problem": 15.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/arithmetic/fractions/e/adding_subtracting_mixed_numbers_0.5/", + "path": "/math/arithmetic/fractions/Mixed_number_add_sub/e/adding_subtracting_mixed_numbers_0.5/", "slug": "adding_subtracting_mixed_numbers_0.5", "name": "adding_subtracting_mixed_numbers_0.5" }, @@ -62591,9 +71383,9 @@ "related_video_readable_ids": [ "proof--law-of-sines" ], - "seconds_per_fast_problem": 37.0, + "seconds_per_fast_problem": 36.5, "live": false, - "path": "/math/trigonometry/e/law_of_sines/", + "path": "/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/e/law_of_sines/", "slug": "law_of_sines", "name": "law_of_sines" }, @@ -62609,7 +71401,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 14.0, "live": true, - "path": "/math/arithmetic/fractions/e/dividing_fractions/", + "path": "/math/arithmetic/fractions/multiplying_and_dividing_frac/e/dividing_fractions/", "slug": "dividing_fractions", "name": "dividing_fractions" }, @@ -62627,9 +71419,9 @@ "direct-variation-models", "direct-variation-1" ], - "seconds_per_fast_problem": 9.0, + "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/algebra/algebra-functions/e/direct_and_inverse_variation/", + "path": "/math/algebra/algebra-functions/direct_inverse_variation/e/direct_and_inverse_variation/", "slug": "direct_and_inverse_variation", "name": "direct_and_inverse_variation" }, @@ -62640,7 +71432,7 @@ "title": "Telling time 0.5", "prerequisites": [], "related_video_readable_ids": [], - "seconds_per_fast_problem": 6.0, + "seconds_per_fast_problem": 7.0, "live": true, "path": "/math/arithmetic/telling-time/e/telling_time_0.5/", "slug": "telling_time_0.5", @@ -62658,9 +71450,9 @@ "independent-and-dependent-systems", "consistent-and-inconsistent-systems" ], - "seconds_per_fast_problem": 8.0, + "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/e/solutions_to_systems_of_equations/", + "path": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc/e/solutions_to_systems_of_equations/", "slug": "solutions_to_systems_of_equations", "name": "solutions_to_systems_of_equations" }, @@ -62674,12 +71466,11 @@ ], "related_video_readable_ids": [ "statistics--the-average", - "average-or-central-tendency--arithmetic-mean--median--and-mode", "algebra-ii--mean-and-standard-deviation" ], - "seconds_per_fast_problem": 33.0, + "seconds_per_fast_problem": 35.0, "live": true, - "path": "/math/statistics/e/exploring_mean_and_median/", + "path": "/math/probability/descriptive-statistics/central_tendency/e/exploring_mean_and_median/", "slug": "exploring_mean_and_median", "name": "exploring_mean_and_median" }, @@ -62694,9 +71485,9 @@ "related_video_readable_ids": [ "ordering-fractions" ], - "seconds_per_fast_problem": 13.0, + "seconds_per_fast_problem": 14.0, "live": true, - "path": "/math/arithmetic/fractions/e/ordering_fractions/", + "path": "/math/arithmetic/fractions/Equivalent_fractions/e/ordering_fractions/", "slug": "ordering_fractions", "name": "ordering_fractions" }, @@ -62713,9 +71504,9 @@ "subtracting-decimals-word-problem", "subtracting-decimals--old" ], - "seconds_per_fast_problem": 15.0, + "seconds_per_fast_problem": 16.0, "live": true, - "path": "/math/arithmetic/decimals/e/subtracting_decimals/", + "path": "/math/arithmetic/decimals/adding_decimals/e/subtracting_decimals/", "slug": "subtracting_decimals", "name": "subtracting_decimals" }, @@ -62732,9 +71523,9 @@ "rounding-whole-numbers-1", "rounding-whole-numbers-3" ], - "seconds_per_fast_problem": 6.0, + "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/arithmetic/decimals/e/rounding_whole_numbers/", + "path": "/math/arithmetic/multiplication-division/rounding_whole_numbers/e/rounding_whole_numbers/", "slug": "rounding_whole_numbers", "name": "rounding_whole_numbers" }, @@ -62749,9 +71540,9 @@ "related_video_readable_ids": [ "adding-decimals" ], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/arithmetic/decimals/e/adding_decimals_0.5/", + "path": "/math/arithmetic/decimals/adding_decimals/e/adding_decimals_0.5/", "slug": "adding_decimals_0.5", "name": "adding_decimals_0.5" }, @@ -62766,9 +71557,9 @@ "related_video_readable_ids": [ "distance-formula" ], - "seconds_per_fast_problem": 21.0, + "seconds_per_fast_problem": 26.0, "live": true, - "path": "/math/algebra/pythagorean-theorem/e/distance_formula/", + "path": "/math/trigonometry/graphs/midpoint_and_distance/e/distance_formula/", "slug": "distance_formula", "name": "distance_formula" }, @@ -62786,7 +71577,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/division_1.5/", + "path": "/math/arithmetic/multiplication-division/long_division/e/division_1.5/", "slug": "division_1.5", "name": "division_1.5" }, @@ -62799,9 +71590,9 @@ "expressing_ratios_as_fractions" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 9.0, + "seconds_per_fast_problem": 8.25, "live": true, - "path": "/math/arithmetic/rates-and-ratios/e/writing_proportions/", + "path": "/math/arithmetic/rates-and-ratios/ratios_and_proportions/e/writing_proportions/", "slug": "writing_proportions", "name": "writing_proportions" }, @@ -62818,7 +71609,7 @@ ], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/arithmetic/fractions/e/equivalent_fractions_2/", + "path": "/math/arithmetic/fractions/Equivalent_fractions/e/equivalent_fractions_2/", "slug": "equivalent_fractions_2", "name": "equivalent_fractions_2" }, @@ -62833,7 +71624,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/algebra/algebra-matrices/e/scalar_matrix_multiplication/", + "path": "/math/algebra/algebra-matrices/Basic_matrix_operations/e/scalar_matrix_multiplication/", "slug": "scalar_matrix_multiplication", "name": "scalar_matrix_multiplication" }, @@ -62848,9 +71639,9 @@ "related_video_readable_ids": [ "measuring-angles-in-degrees" ], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/geometry/segments-and-angles/e/measuring_angles/", + "path": "/math/geometry/parallel-and-perpendicular-lines/Angle_basics/e/measuring_angles/", "slug": "measuring_angles", "name": "measuring_angles" }, @@ -62864,9 +71655,9 @@ "converting_between_point_slope_and_slope_intercept" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 24.0, + "seconds_per_fast_problem": 23.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/e/equation_of_a_line/", + "path": "/math/trigonometry/graphs/line_equation/e/equation_of_a_line/", "slug": "equation_of_a_line", "name": "equation_of_a_line" }, @@ -62885,7 +71676,7 @@ ], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/arithmetic/factors-multiples/e/prime_factorization/", + "path": "/math/arithmetic/factors-multiples/prime_factorization/e/prime_factorization/", "slug": "prime_factorization", "name": "prime_factorization" }, @@ -62903,7 +71694,7 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/geometry/quadrilaterals-and-polygons/e/angles_of_a_polygon/", + "path": "/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/e/angles_of_a_polygon/", "slug": "angles_of_a_polygon", "name": "angles_of_a_polygon" }, @@ -62921,7 +71712,7 @@ ], "seconds_per_fast_problem": 4.0, "live": true, - "path": "/math/geometry/segments-and-angles/e/recognizing_rays_lines_and_line_segments/", + "path": "/math/geometry/segments-and-angles/intro_euclid/e/recognizing_rays_lines_and_line_segments/", "slug": "recognizing_rays_lines_and_line_segments", "name": "recognizing_rays_lines_and_line_segments" }, @@ -62935,9 +71726,9 @@ "vertical_angles_2" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 37.0, + "seconds_per_fast_problem": 38.0, "live": true, - "path": "/math/geometry/segments-and-angles/e/angle_addition_postulate/", + "path": "/math/geometry/parallel-and-perpendicular-lines/Angle_basics/e/angle_addition_postulate/", "slug": "angle_addition_postulate", "name": "angle_addition_postulate" }, @@ -62953,9 +71744,9 @@ "dividing-decimals", "dividing-decimal" ], - "seconds_per_fast_problem": 15.0, + "seconds_per_fast_problem": 17.0, "live": true, - "path": "/math/arithmetic/decimals/e/dividing_decimals/", + "path": "/math/arithmetic/decimals/dividing_decimals/e/dividing_decimals/", "slug": "dividing_decimals", "name": "dividing_decimals" }, @@ -62971,9 +71762,9 @@ "related_video_readable_ids": [ "linear-equations-in-slope-intercept-form" ], - "seconds_per_fast_problem": 30.0, + "seconds_per_fast_problem": 31.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/e/slope_intercept_form/", + "path": "/math/trigonometry/graphs/line_equation/e/slope_intercept_form/", "slug": "slope_intercept_form", "name": "slope_intercept_form" }, @@ -62987,9 +71778,9 @@ "congruent_angles" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 17.0, + "seconds_per_fast_problem": 14.0, "live": true, - "path": "/math/geometry/parallel-and-perpendicular-lines/e/alternate_interior_angles_2/", + "path": "/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/alternate_interior_angles_2/", "slug": "alternate_interior_angles_2", "name": "alternate_interior_angles_2" }, @@ -63009,9 +71800,9 @@ "introduction-to-angles--old", "angles--part-2" ], - "seconds_per_fast_problem": 13.0, + "seconds_per_fast_problem": 14.0, "live": true, - "path": "/math/geometry/triangle-properties/e/angles_1/", + "path": "/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/e/angles_1/", "slug": "angles_1", "name": "angles_1" }, @@ -63024,9 +71815,9 @@ "fractions_on_the_number_line_2" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 6.0, + "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/arithmetic/fractions/e/fractions_on_the_number_line_3/", + "path": "/math/arithmetic/fractions/mixed_numbers/e/fractions_on_the_number_line_3/", "slug": "fractions_on_the_number_line_3", "name": "fractions_on_the_number_line_3" }, @@ -63042,9 +71833,9 @@ "the-angle-game", "angle-game--part-2" ], - "seconds_per_fast_problem": 13.0, + "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/geometry/triangle-properties/e/angles_2/", + "path": "/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/e/angles_2/", "slug": "angles_2", "name": "angles_2" }, @@ -63060,9 +71851,9 @@ "statistics--variance-of-a-population", "statistics--sample-variance" ], - "seconds_per_fast_problem": 54.0, + "seconds_per_fast_problem": 51.0, "live": true, - "path": "/math/statistics/e/variance/", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/e/variance/", "slug": "variance", "name": "variance" }, @@ -63071,11 +71862,12 @@ "display_name": "Scientific notation intuition", "description": "Move a decimal point to express a number in scientific notation.", "title": "Scientific notation intuition", - "seconds_per_fast_problem": 4.0, "prerequisites": [ "exponents_3", "exponent_rules" ], + "related_video_readable_ids": [], + "seconds_per_fast_problem": 5.0, "live": true, "path": "/math/arithmetic/exponents-radicals/scientific-notation/e/scientific_notation_intuition/", "slug": "scientific_notation_intuition", @@ -63091,9 +71883,9 @@ "multiplying_polynomials" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 9.0, + "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/algebra/polynomials/e/factoring_linear_binomials/", + "path": "/math/algebra/polynomials/multiplying_polynomials/e/factoring_linear_binomials/", "slug": "factoring_linear_binomials", "name": "factoring_linear_binomials" }, @@ -63108,9 +71900,9 @@ "related_video_readable_ids": [ "averages" ], - "seconds_per_fast_problem": 25.0, + "seconds_per_fast_problem": 26.0, "live": true, - "path": "/math/statistics/e/average_word_problems/", + "path": "/math/probability/descriptive-statistics/central_tendency/e/average_word_problems/", "slug": "average_word_problems", "name": "average_word_problems" }, @@ -63127,9 +71919,9 @@ "solving-systems-by-elimination-2", "solving-systems-by-elimination-3" ], - "seconds_per_fast_problem": 40.0, + "seconds_per_fast_problem": 34.0, "live": true, - "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/e/systems_of_equations_with_elimination_0.5/", + "path": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc/e/systems_of_equations_with_elimination_0.5/", "slug": "systems_of_equations_with_elimination_0.5", "name": "systems_of_equations_with_elimination_0.5" }, @@ -63145,11 +71937,11 @@ "related_video_readable_ids": [ "ca-algebra-i--completing-the-square", "completing-the-square", - "completing-the-square-1" + "ex1-completing-the-square" ], - "seconds_per_fast_problem": 16.0, + "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/algebra/quadratics/e/completing_the_square_1/", + "path": "/math/trigonometry/polynomial_and_rational/quad_formula_tutorial/e/completing_the_square_1/", "slug": "completing_the_square_1", "name": "completing_the_square_1" }, @@ -63165,11 +71957,11 @@ "related_video_readable_ids": [ "ca-algebra-i--completing-the-square", "completing-the-square", - "completing-the-square-1" + "ex1-completing-the-square" ], - "seconds_per_fast_problem": 37.0, + "seconds_per_fast_problem": 26.0, "live": true, - "path": "/math/algebra/quadratics/e/completing_the_square_2/", + "path": "/math/trigonometry/polynomial_and_rational/quad_formula_tutorial/e/completing_the_square_2/", "slug": "completing_the_square_2", "name": "completing_the_square_2" }, @@ -63182,9 +71974,9 @@ "fractions_cut_and_copy_1" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 23.0, + "seconds_per_fast_problem": 24.0, "live": true, - "path": "/math/arithmetic/fractions/e/fractions_cut_and_copy_2/", + "path": "/math/arithmetic/fractions/mixed_numbers/e/fractions_cut_and_copy_2/", "slug": "fractions_cut_and_copy_2", "name": "fractions_cut_and_copy_2" }, @@ -63197,9 +71989,9 @@ "dividing_fractions" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 11.0, + "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/arithmetic/fractions/e/fractions_cut_and_copy_1/", + "path": "/math/arithmetic/fractions/Equivalent_fractions/e/fractions_cut_and_copy_1/", "slug": "fractions_cut_and_copy_1", "name": "fractions_cut_and_copy_1" }, @@ -63215,12 +72007,11 @@ "describing-the-meaning-of-percent", "describing-the-meaning-of-percent-2", "representing-a-number-as-a-decimal--percent--and-fraction", - "representing-a-number-as-a-decimal--percent--and-fraction-2", - "percent-and-decimals" + "representing-a-number-as-a-decimal--percent--and-fraction-2" ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/arithmetic/percents/e/converting_percents_to_decimals/", + "path": "/math/arithmetic/decimals/percent_tutorial/e/converting_percents_to_decimals/", "slug": "converting_percents_to_decimals", "name": "converting_percents_to_decimals" }, @@ -63237,7 +72028,7 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/geometry/basic-geometry/e/perimeter_of_squares_and_rectangles/", + "path": "/math/geometry/basic-geometry/perimeter_area_basics/e/perimeter_of_squares_and_rectangles/", "slug": "perimeter_of_squares_and_rectangles", "name": "perimeter_of_squares_and_rectangles" }, @@ -63253,7 +72044,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/trigonometry/e/pythagorean_identities/", + "path": "/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/e/pythagorean_identities/", "slug": "pythagorean_identities", "name": "pythagorean_identities" }, @@ -63266,7 +72057,7 @@ "linear_equations_2" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 20.0, + "seconds_per_fast_problem": 19.0, "live": true, "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equation_word_problems/", "slug": "linear_equation_word_problems", @@ -63287,7 +72078,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equations_1/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/linear_equations_1/", "slug": "linear_equations_1", "name": "linear_equations_1" }, @@ -63302,9 +72093,9 @@ "related_video_readable_ids": [ "algebra--linear-equations-2" ], - "seconds_per_fast_problem": 10.0, + "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equations_2/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/linear_equations_2/", "slug": "linear_equations_2", "name": "linear_equations_2" }, @@ -63319,7 +72110,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/number_line/", + "path": "/math/arithmetic/addition-subtraction/basic_addition/e/number_line/", "slug": "number_line", "name": "number_line" }, @@ -63336,7 +72127,7 @@ ], "seconds_per_fast_problem": 34.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equations_4/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/e/linear_equations_4/", "slug": "linear_equations_4", "name": "linear_equations_4" }, @@ -63355,7 +72146,7 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/e/solving_for_the_x-intercept/", + "path": "/math/algebra/linear-equations-and-inequalitie/graphing_with_intercepts/e/solving_for_the_x-intercept/", "slug": "solving_for_the_x-intercept", "name": "solving_for_the_x-intercept" }, @@ -63375,9 +72166,9 @@ "more-percent-problems", "percent-problems" ], - "seconds_per_fast_problem": 20.0, + "seconds_per_fast_problem": 21.0, "live": true, - "path": "/math/arithmetic/percents/e/percentage_word_problems_1/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/percent_word_problems/e/percentage_word_problems_1/", "slug": "percentage_word_problems_1", "name": "percentage_word_problems_1" }, @@ -63393,9 +72184,9 @@ "another-percent-word-problem", "more-percent-problems" ], - "seconds_per_fast_problem": 25.0, + "seconds_per_fast_problem": 26.0, "live": true, - "path": "/math/arithmetic/percents/e/percentage_word_problems_2/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/percent_word_problems/e/percentage_word_problems_2/", "slug": "percentage_word_problems_2", "name": "percentage_word_problems_2" }, @@ -63412,7 +72203,7 @@ ], "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/coordinate-plane/e/graphing_points_2/", + "path": "/math/trigonometry/graphs/graphing_coordinates/e/graphing_points_2/", "slug": "graphing_points_2", "name": "graphing_points_2" }, @@ -63429,9 +72220,9 @@ "special-products-of-binomials", "level-1-multiplying-expressions" ], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/algebra/polynomials/e/multiplying_expressions_1/", + "path": "/math/algebra/polynomials/multiplying_polynomials/e/multiplying_expressions_1/", "slug": "multiplying_expressions_1", "name": "multiplying_expressions_1" }, @@ -63440,8 +72231,9 @@ "display_name": "Variables 1", "description": "", "title": "Variables 1", - "seconds_per_fast_problem": 0.0, "prerequisites": [], + "related_video_readable_ids": [], + "seconds_per_fast_problem": 0.0, "live": false, "path": "/science/cs-exercises/e/cs_variables_1/", "slug": "cs_variables_1", @@ -63458,13 +72250,12 @@ ], "related_video_readable_ids": [ "solving-and-graphing-linear-inequalities-in-two-variables-1", - "graphing-linear-inequalities-in-two-variables-2", "graphing-linear-inequalities-in-two-variables-3", "graphical-system-of-inequalities" ], - "seconds_per_fast_problem": 54.0, + "seconds_per_fast_problem": 51.0, "live": true, - "path": "/math/algebra/systems-of-eq-and-ineq/system-of-inequalities/e/graphing_systems_of_inequalities/", + "path": "/math/trigonometry/systems_eq_ineq/systems_inequalities_precalc/e/graphing_systems_of_inequalities/", "slug": "graphing_systems_of_inequalities", "name": "graphing_systems_of_inequalities" }, @@ -63482,26 +72273,24 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/arithmetic/fractions/e/adding_fractions_with_common_denominators/", + "path": "/math/arithmetic/fractions/Adding_and_subtracting_fractions/e/adding_fractions_with_common_denominators/", "slug": "adding_fractions_with_common_denominators", "name": "adding_fractions_with_common_denominators" }, - "inscribed_angles_3": { + "logical_arguments_deductive_reasoning": { "kind": "Exercise", - "display_name": "Inscribed angles 3", - "description": null, - "title": "Inscribed angles 3", + "display_name": "Logical arguments and deductive reasoning", + "description": "Use given conditional statements to come to a logical conclusion, if possible.", + "title": "Logical arguments and deductive reasoning", "prerequisites": [ - "inscribed_angles_2" - ], - "related_video_readable_ids": [ - "inscribed-and-central-angles" + "converse_inverse_and_contrapositive" ], + "related_video_readable_ids": [], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/geometry/circles/e/inscribed_angles_3/", - "slug": "inscribed_angles_3", - "name": "inscribed_angles_3" + "path": "/math/geometry/logical-reasoning/e/logical_arguments_deductive_reasoning/", + "slug": "logical_arguments_deductive_reasoning", + "name": "logical_arguments_deductive_reasoning" }, "inscribed_angles_2": { "kind": "Exercise", @@ -63553,7 +72342,7 @@ ], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/arithmetic/decimals/e/rounding_numbers/", + "path": "/math/arithmetic/decimals/decimal_rounding_estimation/e/rounding_numbers/", "slug": "rounding_numbers", "name": "rounding_numbers" }, @@ -63567,9 +72356,9 @@ "areas_of_trapezoids_rhombi_and_kites" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 31.0, + "seconds_per_fast_problem": 38.0, "live": true, - "path": "/math/geometry/area--perimeter--and-volume/e/areas_of_circles_and_sectors/", + "path": "/math/geometry/circles/e/areas_of_circles_and_sectors/", "slug": "areas_of_circles_and_sectors", "name": "areas_of_circles_and_sectors" }, @@ -63586,9 +72375,9 @@ "age-word-problems-2", "age-word-problems-3" ], - "seconds_per_fast_problem": 40.0, + "seconds_per_fast_problem": 38.0, "live": true, - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/e/age_word_problems/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/e/age_word_problems/", "slug": "age_word_problems", "name": "age_word_problems" }, @@ -63602,9 +72391,9 @@ "congruent_segments" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 27.0, + "seconds_per_fast_problem": 26.0, "live": true, - "path": "/math/geometry/segments-and-angles/e/midpoint_of_a_segment/", + "path": "/math/geometry/segments-and-angles/intro_euclid/e/midpoint_of_a_segment/", "slug": "midpoint_of_a_segment", "name": "midpoint_of_a_segment" }, @@ -63621,9 +72410,9 @@ "speed-translation", "unit-conversion-example--drug-dosage" ], - "seconds_per_fast_problem": 22.0, + "seconds_per_fast_problem": 23.0, "live": true, - "path": "/math/arithmetic/rates-and-ratios/e/units/", + "path": "/math/arithmetic/rates-and-ratios/unit_conversion/e/units/", "slug": "units", "name": "units" }, @@ -63638,7 +72427,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/geometry/segments-and-angles/e/congruent_segments/", + "path": "/math/geometry/segments-and-angles/intro_euclid/e/congruent_segments/", "slug": "congruent_segments", "name": "congruent_segments" }, @@ -63653,9 +72442,9 @@ "related_video_readable_ids": [ "multiplying-fractions" ], - "seconds_per_fast_problem": 10.0, + "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/arithmetic/fractions/e/multiplying_fractions/", + "path": "/math/arithmetic/fractions/multiplying_and_dividing_frac/e/multiplying_fractions/", "slug": "multiplying_fractions", "name": "multiplying_fractions" }, @@ -63673,9 +72462,9 @@ "subtracting-mixed-numbers", "subtracting-mixed-numbers-2" ], - "seconds_per_fast_problem": 38.0, + "seconds_per_fast_problem": 36.0, "live": true, - "path": "/math/arithmetic/fractions/e/adding_subtracting_mixed_numbers_1/", + "path": "/math/arithmetic/fractions/Mixed_number_add_sub/e/adding_subtracting_mixed_numbers_1/", "slug": "adding_subtracting_mixed_numbers_1", "name": "adding_subtracting_mixed_numbers_1" }, @@ -63693,7 +72482,7 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/arithmetic/factors-multiples/e/prime_numbers/", + "path": "/math/arithmetic/factors-multiples/prime_numbers/e/prime_numbers/", "slug": "prime_numbers", "name": "prime_numbers" }, @@ -63709,9 +72498,9 @@ "related_video_readable_ids": [ "multiplying-complex-numbers" ], - "seconds_per_fast_problem": 19.0, + "seconds_per_fast_problem": 20.0, "live": true, - "path": "/math/algebra/complex-numbers/e/multiplying_complex_numbers/", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc/e/multiplying_complex_numbers/", "slug": "multiplying_complex_numbers", "name": "multiplying_complex_numbers" }, @@ -63726,9 +72515,9 @@ "related_video_readable_ids": [ "calculus--derivatives-3" ], - "seconds_per_fast_problem": 10.0, + "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/calculus/differential-calculus/e/power_rule/", + "path": "/math/calculus/differential-calculus/power_rule_tutorial/e/power_rule/", "slug": "power_rule", "name": "power_rule" }, @@ -63762,7 +72551,7 @@ ], "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/arithmetic/factors-multiples/e/least_common_multiple/", + "path": "/math/arithmetic/factors-multiples/least_common_multiple/e/least_common_multiple/", "slug": "least_common_multiple", "name": "least_common_multiple" }, @@ -63783,7 +72572,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/adding_negative_numbers/", + "path": "/math/arithmetic/absolute-value/adding_subtracting_negatives/e/adding_negative_numbers/", "slug": "adding_negative_numbers", "name": "adding_negative_numbers" }, @@ -63799,9 +72588,9 @@ "related_video_readable_ids": [ "ck12-org-normal-distribution-problems--empirical-rule" ], - "seconds_per_fast_problem": 24.0, + "seconds_per_fast_problem": 27.0, "live": true, - "path": "/math/statistics/e/empirical_rule/", + "path": "/math/probability/statistics-inferential/normal_distribution/e/empirical_rule/", "slug": "empirical_rule", "name": "empirical_rule" }, @@ -63819,7 +72608,7 @@ ], "seconds_per_fast_problem": 21.0, "live": true, - "path": "/math/arithmetic/decimals/e/adding_and_subtracting_decimals_word_problems/", + "path": "/math/arithmetic/decimals/adding_decimals/e/adding_and_subtracting_decimals_word_problems/", "slug": "adding_and_subtracting_decimals_word_problems", "name": "adding_and_subtracting_decimals_word_problems" }, @@ -63832,9 +72621,9 @@ "similar_triangles_2" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 15.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/geometry/similarity/e/solving_similar_triangles_1/", + "path": "/math/geometry/similarity/triangle_similarlity/e/solving_similar_triangles_1/", "slug": "solving_similar_triangles_1", "name": "solving_similar_triangles_1" }, @@ -63852,7 +72641,7 @@ ], "seconds_per_fast_problem": 4.0, "live": true, - "path": "/math/geometry/segments-and-angles/e/vertical_angles/", + "path": "/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/vertical_angles/", "slug": "vertical_angles", "name": "vertical_angles" }, @@ -63891,7 +72680,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/factors-multiples/e/greatest_common_divisor/", + "path": "/math/arithmetic/factors-multiples/greatest_common_divisor/e/greatest_common_divisor/", "slug": "greatest_common_divisor", "name": "greatest_common_divisor" }, @@ -63906,9 +72695,9 @@ "related_video_readable_ids": [ "factor-by-grouping-and-factoring-completely" ], - "seconds_per_fast_problem": 59.0, + "seconds_per_fast_problem": 56.0, "live": true, - "path": "/math/algebra/polynomials/e/factoring_polynomials_by_grouping_1/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/e/factoring_polynomials_by_grouping_1/", "slug": "factoring_polynomials_by_grouping_1", "name": "factoring_polynomials_by_grouping_1" }, @@ -63920,15 +72709,10 @@ "prerequisites": [ "ordering_fractions" ], - "related_video_readable_ids": [ - "ordering-numeric-expressions_DUP_3", - "converting-fractions-to-decimals", - "percent-and-decimals", - "mixed-numbers-and-improper-fractions" - ], - "seconds_per_fast_problem": 14.0, + "related_video_readable_ids": [], + "seconds_per_fast_problem": 16.0, "live": true, - "path": "/math/arithmetic/fractions/e/ordering_numbers/", + "path": "/math/arithmetic/fractions/decimals_fractions/e/ordering_numbers/", "slug": "ordering_numbers", "name": "ordering_numbers" }, @@ -63948,7 +72732,7 @@ ], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/arithmetic/order-of-operations/e/order_of_operations/", + "path": "/math/arithmetic/multiplication-division/order_of_operations/e/order_of_operations/", "slug": "order_of_operations", "name": "order_of_operations" }, @@ -63969,7 +72753,7 @@ ], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/calculus/differential-calculus/e/lhopitals_rule/", + "path": "/math/calculus/derivative_applications/lhopital_rule/e/lhopitals_rule/", "slug": "lhopitals_rule", "name": "lhopitals_rule" }, @@ -64001,7 +72785,7 @@ "multiplying_radicals" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 8.0, + "seconds_per_fast_problem": 10.0, "live": true, "path": "/math/algebra/solving-linear-equations-and-inequalities/manipulating-expressions/e/combining_like_terms_1/", "slug": "combining_like_terms_1", @@ -64016,9 +72800,9 @@ "variance" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 13.0, + "seconds_per_fast_problem": 14.0, "live": true, - "path": "/math/statistics/e/exploring_standard_deviation_1/", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/e/exploring_standard_deviation_1/", "slug": "exploring_standard_deviation_1", "name": "exploring_standard_deviation_1" }, @@ -64034,9 +72818,9 @@ "related_video_readable_ids": [ "quotient-rule" ], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/calculus/differential-calculus/e/quotient_rule/", + "path": "/math/calculus/differential-calculus/product_rule/e/quotient_rule/", "slug": "quotient_rule", "name": "quotient_rule" }, @@ -64053,9 +72837,9 @@ "adding-fractions-with-like-denominators", "adding-fractions-with-unlike-denominators" ], - "seconds_per_fast_problem": 27.0, + "seconds_per_fast_problem": 29.0, "live": true, - "path": "/math/arithmetic/fractions/e/adding_fractions/", + "path": "/math/arithmetic/fractions/Adding_and_subtracting_fractions/e/adding_fractions/", "slug": "adding_fractions", "name": "adding_fractions" }, @@ -64087,9 +72871,9 @@ "related_video_readable_ids": [ "factoring-trinomials-with-a-leading-1-coefficient" ], - "seconds_per_fast_problem": 21.75, + "seconds_per_fast_problem": 22.0, "live": true, - "path": "/math/algebra/polynomials/e/factoring_polynomials_1/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/e/factoring_polynomials_1/", "slug": "factoring_polynomials_1", "name": "factoring_polynomials_1" }, @@ -64107,7 +72891,7 @@ ], "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/arithmetic/decimals/e/subtracting_decimals_0.5/", + "path": "/math/arithmetic/decimals/adding_decimals/e/subtracting_decimals_0.5/", "slug": "subtracting_decimals_0.5", "name": "subtracting_decimals_0.5" }, @@ -64122,9 +72906,9 @@ "related_video_readable_ids": [ "factoring-trinomials-with-a-common-factor" ], - "seconds_per_fast_problem": 47.0, + "seconds_per_fast_problem": 42.0, "live": true, - "path": "/math/algebra/polynomials/e/factoring_polynomials_2/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/e/factoring_polynomials_2/", "slug": "factoring_polynomials_2", "name": "factoring_polynomials_2" }, @@ -64141,7 +72925,7 @@ ], "seconds_per_fast_problem": 15.0, "live": true, - "path": "/math/algebra/algebra-matrices/e/matrix_addition_and_subtraction/", + "path": "/math/algebra/algebra-matrices/Basic_matrix_operations/e/matrix_addition_and_subtraction/", "slug": "matrix_addition_and_subtraction", "name": "matrix_addition_and_subtraction" }, @@ -64160,7 +72944,7 @@ ], "seconds_per_fast_problem": 4.0, "live": true, - "path": "/math/arithmetic/absolute-value/e/absolute_value/", + "path": "/math/arithmetic/absolute-value/abs_value_tutorial/e/absolute_value/", "slug": "absolute_value", "name": "absolute_value" }, @@ -64180,9 +72964,9 @@ "perpendicular-lines-2", "equations-of-parallel-and-perpendicular-lines" ], - "seconds_per_fast_problem": 17.0, + "seconds_per_fast_problem": 23.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/e/line_relationships/", + "path": "/math/trigonometry/graphs/parallel_perpendicular/e/line_relationships/", "slug": "line_relationships", "name": "line_relationships" }, @@ -64201,7 +72985,7 @@ ], "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/trigonometry/e/inverse_trig_functions/", + "path": "/math/trigonometry/basic-trigonometry/inverse_trig_functions/e/inverse_trig_functions/", "slug": "inverse_trig_functions", "name": "inverse_trig_functions" }, @@ -64218,9 +73002,9 @@ "related_video_readable_ids": [ "algebra-ii--quadratics-and-shifts" ], - "seconds_per_fast_problem": 15.0, + "seconds_per_fast_problem": 14.0, "live": true, - "path": "/math/algebra/algebra-functions/e/shifting_and_reflecting_functions/", + "path": "/math/trigonometry/functions_and_graphs/analyzing_functions/e/shifting_and_reflecting_functions/", "slug": "shifting_and_reflecting_functions", "name": "shifting_and_reflecting_functions" }, @@ -64238,7 +73022,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/multiplication_0.5/", + "path": "/math/arithmetic/multiplication-division/multiplication_fun/e/multiplication_0.5/", "slug": "multiplication_0.5", "name": "multiplication_0.5" }, @@ -64255,7 +73039,7 @@ "subtracting-and-simplifying-radicals", "simplifying-radicals" ], - "seconds_per_fast_problem": 18.0, + "seconds_per_fast_problem": 20.0, "live": true, "path": "/math/arithmetic/exponents-radicals/radical-radicals/e/adding_and_subtracting_radicals/", "slug": "adding_and_subtracting_radicals", @@ -64275,7 +73059,7 @@ ], "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/algebra/algebra-functions/e/domain_of_a_function/", + "path": "/math/trigonometry/functions_and_graphs/domain_range/e/domain_of_a_function/", "slug": "domain_of_a_function", "name": "domain_of_a_function" }, @@ -64292,7 +73076,7 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/statistics/e/reading_pictographs_1/", + "path": "/math/arithmetic/interpreting-data-topic/reading_data/e/reading_pictographs_1/", "slug": "reading_pictographs_1", "name": "reading_pictographs_1" }, @@ -64309,7 +73093,7 @@ ], "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/statistics/e/reading_pictographs_2/", + "path": "/math/arithmetic/interpreting-data-topic/reading_data/e/reading_pictographs_2/", "slug": "reading_pictographs_2", "name": "reading_pictographs_2" }, @@ -64322,9 +73106,9 @@ "area_of_squares_and_rectangles" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 5.0, + "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/geometry/basic-geometry/e/area_of_triangles_1/", + "path": "/math/geometry/basic-geometry/perimeter_area_tutorial/e/area_of_triangles_1/", "slug": "area_of_triangles_1", "name": "area_of_triangles_1" }, @@ -64359,7 +73143,7 @@ ], "seconds_per_fast_problem": 34.0, "live": true, - "path": "/math/arithmetic/fractions/e/multiplying_mixed_numbers_1/", + "path": "/math/arithmetic/fractions/mixed_number_mult_div/e/multiplying_mixed_numbers_1/", "slug": "multiplying_mixed_numbers_1", "name": "multiplying_mixed_numbers_1" }, @@ -64376,7 +73160,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/fractions/e/comparing_fractions_1/", + "path": "/math/arithmetic/fractions/Equivalent_fractions/e/comparing_fractions_1/", "slug": "comparing_fractions_1", "name": "comparing_fractions_1" }, @@ -64391,9 +73175,9 @@ "related_video_readable_ids": [ "comparing-fractions-2" ], - "seconds_per_fast_problem": 5.0, + "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/arithmetic/fractions/e/comparing_fractions_2/", + "path": "/math/arithmetic/fractions/Equivalent_fractions/e/comparing_fractions_2/", "slug": "comparing_fractions_2", "name": "comparing_fractions_2" }, @@ -64402,12 +73186,16 @@ "display_name": "Operations with logarithms", "description": "Add, subtract, multiply, and divide with logarithms.", "title": "Operations with logarithms", - "seconds_per_fast_problem": 6.0, "prerequisites": [ "logarithms_1.5" ], + "related_video_readable_ids": [ + "introduction-to-logarithm-properties", + "introduction-to-logarithm-properties--part-2" + ], + "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/algebra/logarithms-tutorial/e/logarithms_2/", + "path": "/math/algebra/logarithms-tutorial/logarithm_properties/e/logarithms_2/", "slug": "logarithms_2", "name": "logarithms_2" }, @@ -64422,7 +73210,7 @@ "related_video_readable_ids": [ "scientific-notation-example-2" ], - "seconds_per_fast_problem": 18.0, + "seconds_per_fast_problem": 19.0, "live": true, "path": "/math/arithmetic/exponents-radicals/scientific-notation/e/multiplying_and_dividing_scientific_notation/", "slug": "multiplying_and_dividing_scientific_notation", @@ -64436,13 +73224,10 @@ "prerequisites": [ "reading_tables_2" ], - "related_video_readable_ids": [ - "u08-l1-t2-we3-stem-and-leaf-plots", - "stem-and-leaf-plots" - ], + "related_video_readable_ids": [], "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/statistics/e/reading_stem_and_leaf_plots/", + "path": "/math/arithmetic/interpreting-data-topic/reading_data/e/reading_stem_and_leaf_plots/", "slug": "reading_stem_and_leaf_plots", "name": "reading_stem_and_leaf_plots" }, @@ -64459,7 +73244,7 @@ ], "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/geometry/circles/e/graphing_circles/", + "path": "/math/trigonometry/conics_precalc/circles-tutorial-precalc/e/graphing_circles/", "slug": "graphing_circles", "name": "graphing_circles" }, @@ -64475,9 +73260,9 @@ "multiplying-polynomials1", "multiplying-polynomials" ], - "seconds_per_fast_problem": 11.0, + "seconds_per_fast_problem": 13.0, "live": true, - "path": "/math/algebra/polynomials/e/multiplying_polynomials/", + "path": "/math/trigonometry/polynomial_and_rational/polynomial_tutorial/e/multiplying_polynomials/", "slug": "multiplying_polynomials", "name": "multiplying_polynomials" }, @@ -64494,9 +73279,9 @@ "domain-and-range-1", "domain-and-range-of-a-function" ], - "seconds_per_fast_problem": 10.0, + "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/algebra/algebra-functions/e/range_of_a_function/", + "path": "/math/trigonometry/functions_and_graphs/domain_range/e/range_of_a_function/", "slug": "range_of_a_function", "name": "range_of_a_function" }, @@ -64511,9 +73296,9 @@ "related_video_readable_ids": [ "points-on-a-number-line" ], - "seconds_per_fast_problem": 5.0, + "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/arithmetic/addition-subtraction/e/number_line_2/", + "path": "/math/arithmetic/absolute-value/add-sub-negatives/e/number_line_2/", "slug": "number_line_2", "name": "number_line_2" }, @@ -64529,7 +73314,7 @@ "exponent-rules-part-1", "exponent-rules-part-2" ], - "seconds_per_fast_problem": 6.0, + "seconds_per_fast_problem": 7.0, "live": true, "path": "/math/arithmetic/exponents-radicals/exponent-properties/e/exponent_rules/", "slug": "exponent_rules", @@ -64546,7 +73331,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/geometry/basic-geometry/e/area_1/", + "path": "/math/geometry/basic-geometry/perimeter_area_basics/e/area_1/", "slug": "area_1", "name": "area_1" }, @@ -64561,7 +73346,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/trigonometry/e/reciprocal_trig_funcs/", + "path": "/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/reciprocal_trig_funcs/", "slug": "reciprocal_trig_funcs", "name": "reciprocal_trig_funcs" }, @@ -64576,7 +73361,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 34.0, "live": true, - "path": "/math/trigonometry/e/trig_addition_identities/", + "path": "/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/e/trig_addition_identities/", "slug": "trig_addition_identities", "name": "trig_addition_identities" }, @@ -64596,9 +73381,9 @@ "probability-of-dependent-events", "probability-of-dependent-events-2" ], - "seconds_per_fast_problem": 23.0, + "seconds_per_fast_problem": 25.0, "live": true, - "path": "/math/probability/e/dependent_probability/", + "path": "/math/probability/independent-dependent-probability/dependent_probability/e/dependent_probability/", "slug": "dependent_probability", "name": "dependent_probability" }, @@ -64632,7 +73417,7 @@ ], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/arithmetic/fractions/e/comparing_improper_fractions_and_mixed_numbers/", + "path": "/math/arithmetic/fractions/mixed_numbers/e/comparing_improper_fractions_and_mixed_numbers/", "slug": "comparing_improper_fractions_and_mixed_numbers", "name": "comparing_improper_fractions_and_mixed_numbers" }, @@ -64645,9 +73430,9 @@ "quadratic_equation" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 15.0, + "seconds_per_fast_problem": 16.0, "live": true, - "path": "/math/algebra/quadratics/e/solutions_to_quadratic_equations/", + "path": "/math/trigonometry/polynomial_and_rational/quad_formula_tutorial/e/solutions_to_quadratic_equations/", "slug": "solutions_to_quadratic_equations", "name": "solutions_to_quadratic_equations" }, @@ -64662,7 +73447,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/geometry/triangle-properties/e/triangle_inequality_theorem/", + "path": "/math/geometry/basic-geometry/triangle_inequality_theorem/e/triangle_inequality_theorem/", "slug": "triangle_inequality_theorem", "name": "triangle_inequality_theorem" }, @@ -64677,7 +73462,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/geometry/area--perimeter--and-volume/e/area_of_parallelograms/", + "path": "/math/geometry/basic-geometry/area_non_standard/e/area_of_parallelograms/", "slug": "area_of_parallelograms", "name": "area_of_parallelograms" }, @@ -64691,9 +73476,9 @@ "converting_percents_to_decimals" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 20.0, + "seconds_per_fast_problem": 17.0, "live": true, - "path": "/math/arithmetic/percents/e/discount_tax_and_tip_word_problems/", + "path": "/math/arithmetic/decimals/percent_word_probs/e/discount_tax_and_tip_word_problems/", "slug": "discount_tax_and_tip_word_problems", "name": "discount_tax_and_tip_word_problems" }, @@ -64707,9 +73492,9 @@ "congruent_angles" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 27.0, + "seconds_per_fast_problem": 22.0, "live": true, - "path": "/math/geometry/parallel-and-perpendicular-lines/e/same_side_interior_angles_2/", + "path": "/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/same_side_interior_angles_2/", "slug": "same_side_interior_angles_2", "name": "same_side_interior_angles_2" }, @@ -64722,9 +73507,9 @@ "divisibility_intuition" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 5.0, + "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/arithmetic/factors-multiples/e/divisibility_tests/", + "path": "/math/arithmetic/factors-multiples/divisibility_tests/e/divisibility_tests/", "slug": "divisibility_tests", "name": "divisibility_tests" }, @@ -64745,7 +73530,7 @@ ], "seconds_per_fast_problem": 11.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/negative_number_word_problems/", + "path": "/math/arithmetic/absolute-value/mult_div_negatives/e/negative_number_word_problems/", "slug": "negative_number_word_problems", "name": "negative_number_word_problems" }, @@ -64765,7 +73550,7 @@ ], "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/calculus/differential-calculus/e/derivatives_1/", + "path": "/math/calculus/differential-calculus/derivative_intro/e/derivatives_1/", "slug": "derivatives_1", "name": "derivatives_1" }, @@ -64782,9 +73567,9 @@ "limit-examples--part-2", "limit-examples--part3" ], - "seconds_per_fast_problem": 6.0, + "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/calculus/differential-calculus/e/limits_2/", + "path": "/math/calculus/limits_topic/limits_tutorial/e/limits_2/", "slug": "limits_2", "name": "limits_2" }, @@ -64799,9 +73584,9 @@ "related_video_readable_ids": [ "graphs-of-quadratic-functions" ], - "seconds_per_fast_problem": 14.0, + "seconds_per_fast_problem": 15.0, "live": true, - "path": "/math/algebra/conic-sections/e/parabola_intuition_1/", + "path": "/math/trigonometry/conics_precalc/parabolas_precalc/e/parabola_intuition_1/", "slug": "parabola_intuition_1", "name": "parabola_intuition_1" }, @@ -64817,9 +73602,9 @@ "focus-and-directrix-of-a-parabola-2", "parabola-focus-and-directrix-1" ], - "seconds_per_fast_problem": 49.0, + "seconds_per_fast_problem": 51.75, "live": true, - "path": "/math/algebra/quadratics/e/parabola_intuition_3/", + "path": "/math/trigonometry/polynomial_and_rational/solving_graphing_quadratics/e/parabola_intuition_3/", "slug": "parabola_intuition_3", "name": "parabola_intuition_3" }, @@ -64835,9 +73620,9 @@ "parabola-focus-and-directrix-1", "focus-and-directrix-of-a-parabola-2" ], - "seconds_per_fast_problem": 33.0, + "seconds_per_fast_problem": 34.0, "live": true, - "path": "/math/algebra/conic-sections/e/parabola_intuition_2/", + "path": "/math/trigonometry/conics_precalc/parabolas_precalc/e/parabola_intuition_2/", "slug": "parabola_intuition_2", "name": "parabola_intuition_2" }, @@ -64850,7 +73635,7 @@ "angles_2" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 4.75, + "seconds_per_fast_problem": 5.0, "live": true, "path": "/math/geometry/quadrilaterals-and-polygons/e/quadrilateral_types/", "slug": "quadrilateral_types", @@ -64869,24 +73654,24 @@ "adding-complex-numbers", "subtracting-complex-numbers" ], - "seconds_per_fast_problem": 9.0, + "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/algebra/complex-numbers/e/adding_and_subtracting_complex_numbers/", + "path": "/math/trigonometry/imaginary_complex_precalc/complex_num_precalc/e/adding_and_subtracting_complex_numbers/", "slug": "adding_and_subtracting_complex_numbers", "name": "adding_and_subtracting_complex_numbers" }, "plotting_the_line_of_best_fit": { "kind": "Exercise", - "display_name": "Plotting the line of best fit", + "display_name": "Estimating the line of best fit", "description": "Given a random assortment of points, find the best fit line for them.", - "title": "Plotting the line of best fit", + "title": "Estimating the line of best fit", "prerequisites": [ "reading_line_charts_1" ], "related_video_readable_ids": [], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/statistics/e/plotting_the_line_of_best_fit/", + "path": "/math/probability/regression/regression-correlation/e/plotting_the_line_of_best_fit/", "slug": "plotting_the_line_of_best_fit", "name": "plotting_the_line_of_best_fit" }, @@ -64904,9 +73689,9 @@ "matrix-multiplication--part-1", "matrix-multiplication--part-2" ], - "seconds_per_fast_problem": 19.0, + "seconds_per_fast_problem": 18.0, "live": true, - "path": "/math/algebra/algebra-matrices/e/multiplying_a_matrix_by_a_vector/", + "path": "/math/algebra/algebra-matrices/matrix_multiplication/e/multiplying_a_matrix_by_a_vector/", "slug": "multiplying_a_matrix_by_a_vector", "name": "multiplying_a_matrix_by_a_vector" }, @@ -64915,10 +73700,11 @@ "display_name": "Scientific notation", "description": "Express a number in scientific notation.", "title": "Scientific notation", - "seconds_per_fast_problem": 12.0, "prerequisites": [ "scientific_notation_intuition" ], + "related_video_readable_ids": [], + "seconds_per_fast_problem": 13.0, "live": true, "path": "/math/arithmetic/exponents-radicals/scientific-notation/e/scientific_notation/", "slug": "scientific_notation", @@ -64933,9 +73719,9 @@ "trigonometry_1" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 14.0, + "seconds_per_fast_problem": 15.0, "live": true, - "path": "/math/trigonometry/e/trigonometry_1.5/", + "path": "/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_1.5/", "slug": "trigonometry_1.5", "name": "trigonometry_1.5" }, @@ -64950,9 +73736,9 @@ "related_video_readable_ids": [ "new-operator-definitions" ], - "seconds_per_fast_problem": 13.0, + "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/algebra/algebra-functions/e/new_definitions_1/", + "path": "/math/algebra/algebra-functions/new_operators/e/new_definitions_1/", "slug": "new_definitions_1", "name": "new_definitions_1" }, @@ -64970,9 +73756,9 @@ "solving-systems-by-substitution-3", "solving-linear-systems-by-substitution" ], - "seconds_per_fast_problem": 57.0, + "seconds_per_fast_problem": 54.5, "live": true, - "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/e/systems_of_equations_with_substitution/", + "path": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc/e/systems_of_equations_with_substitution/", "slug": "systems_of_equations_with_substitution", "name": "systems_of_equations_with_substitution" }, @@ -64988,7 +73774,7 @@ "the-fundamental-theorem-of-arithmetic", "the-fundamental-theorem-of-arithmetic-1" ], - "seconds_per_fast_problem": 7.0, + "seconds_per_fast_problem": 8.0, "live": true, "path": "/math/applied-math/modern-crypt/e/the_fundamental_theorem_of_arithmetic/", "slug": "the_fundamental_theorem_of_arithmetic", @@ -65005,9 +73791,9 @@ "related_video_readable_ids": [ "new-operator-definitions" ], - "seconds_per_fast_problem": 29.0, + "seconds_per_fast_problem": 25.0, "live": true, - "path": "/math/algebra/algebra-functions/e/new_definitions_2/", + "path": "/math/algebra/algebra-functions/new_operators/e/new_definitions_2/", "slug": "new_definitions_2", "name": "new_definitions_2" }, @@ -65027,7 +73813,7 @@ ], "seconds_per_fast_problem": 29.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-linear-inequalities/e/graphing_inequalities_2/", + "path": "/math/trigonometry/graphs/graphing_inequalities/e/graphing_inequalities_2/", "slug": "graphing_inequalities_2", "name": "graphing_inequalities_2" }, @@ -65043,9 +73829,9 @@ "find-an-unknown-in-a-proportion-2", "ratio-problem-with-basic-algebra--new-hd" ], - "seconds_per_fast_problem": 10.0, + "seconds_per_fast_problem": 9.0, "live": true, - "path": "/math/arithmetic/rates-and-ratios/e/ratio_word_problems/", + "path": "/math/arithmetic/rates-and-ratios/ratios_and_proportions/e/ratio_word_problems/", "slug": "ratio_word_problems", "name": "ratio_word_problems" }, @@ -65061,9 +73847,9 @@ "multiplication-6--multiple-digit-numbers", "multiplication-7--old-video-giving-more-examples" ], - "seconds_per_fast_problem": 14.0, + "seconds_per_fast_problem": 18.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/multiplication_4/", + "path": "/math/arithmetic/multiplication-division/multi_digit_multiplication/e/multiplication_4/", "slug": "multiplication_4", "name": "multiplication_4" }, @@ -65081,9 +73867,9 @@ "lattice-multiplication", "why-lattice-multiplication-works" ], - "seconds_per_fast_problem": 16.0, + "seconds_per_fast_problem": 17.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/multiplication_3/", + "path": "/math/arithmetic/multiplication-division/multi_digit_multiplication/e/multiplication_3/", "slug": "multiplication_3", "name": "multiplication_3" }, @@ -65101,7 +73887,7 @@ ], "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/multiplication_2/", + "path": "/math/arithmetic/multiplication-division/multi_digit_multiplication/e/multiplication_2/", "slug": "multiplication_2", "name": "multiplication_2" }, @@ -65118,9 +73904,9 @@ "multiplication-2--the-multiplication-tables", "multiplication-3--10-11-12-times-tables" ], - "seconds_per_fast_problem": 4.0, + "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/multiplication-division/e/multiplication_1/", + "path": "/math/arithmetic/multiplication-division/multiplication_fun/e/multiplication_1/", "slug": "multiplication_1", "name": "multiplication_1" }, @@ -65136,7 +73922,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 4.0, "live": true, - "path": "/math/geometry/parallel-and-perpendicular-lines/e/congruent_angles/", + "path": "/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/congruent_angles/", "slug": "congruent_angles", "name": "congruent_angles" }, @@ -65149,9 +73935,9 @@ "rate_problems_1" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 12.0, + "seconds_per_fast_problem": 14.0, "live": true, - "path": "/math/arithmetic/rates-and-ratios/e/rate_problems_2/", + "path": "/math/arithmetic/rates-and-ratios/rates_tutorial/e/rate_problems_2/", "slug": "rate_problems_2", "name": "rate_problems_2" }, @@ -65170,7 +73956,7 @@ ], "seconds_per_fast_problem": 60.0, "live": true, - "path": "/math/arithmetic/rates-and-ratios/e/rate_problems_1/", + "path": "/math/arithmetic/rates-and-ratios/rates_tutorial/e/rate_problems_1/", "slug": "rate_problems_1", "name": "rate_problems_1" }, @@ -65189,7 +73975,7 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/e/interpreting_linear_equations/", + "path": "/math/trigonometry/graphs/graphing_coordinates/e/interpreting_linear_equations/", "slug": "interpreting_linear_equations", "name": "interpreting_linear_equations" }, @@ -65207,9 +73993,9 @@ "basic-triangle-proofs-module-example", "basic-triangle-proofs-module-example-2" ], - "seconds_per_fast_problem": 49.0, + "seconds_per_fast_problem": 50.0, "live": true, - "path": "/math/geometry/congruent-triangles/e/geometry_proofs_intro/", + "path": "/math/geometry/congruent-triangles/isoscleles_equil/e/geometry_proofs_intro/", "slug": "geometry_proofs_intro", "name": "geometry_proofs_intro" }, @@ -65222,9 +74008,9 @@ "place_value" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 19.0, + "seconds_per_fast_problem": 21.0, "live": true, - "path": "/math/arithmetic/decimals/e/understanding_decimals_place_value/", + "path": "/math/arithmetic/decimals/decimal_place_value/e/understanding_decimals_place_value/", "slug": "understanding_decimals_place_value", "name": "understanding_decimals_place_value" }, @@ -65241,9 +74027,9 @@ "graphs-of-trig-functions", "graphing-trig-functions" ], - "seconds_per_fast_problem": 11.0, + "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/trigonometry/e/graphs_of_sine_and_cosine/", + "path": "/math/trigonometry/basic-trigonometry/trig_graphs_tutorial/e/graphs_of_sine_and_cosine/", "slug": "graphs_of_sine_and_cosine", "name": "graphs_of_sine_and_cosine" }, @@ -65259,9 +74045,9 @@ "converting-mixed-numbers-to-improper-fractions", "changing-an-improper-fraction-to-a-mixed-number" ], - "seconds_per_fast_problem": 13.0, + "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/arithmetic/fractions/e/converting_mixed_numbers_and_improper_fractions/", + "path": "/math/arithmetic/fractions/mixed_numbers/e/converting_mixed_numbers_and_improper_fractions/", "slug": "converting_mixed_numbers_and_improper_fractions", "name": "converting_mixed_numbers_and_improper_fractions" }, @@ -65276,9 +74062,9 @@ "related_video_readable_ids": [ "wrong-statements-in-proofs-example-1" ], - "seconds_per_fast_problem": 22.0, + "seconds_per_fast_problem": 32.0, "live": true, - "path": "/math/geometry/congruent-triangles/e/geometry_proofs_2/", + "path": "/math/geometry/congruent-triangles/isoscleles_equil/e/geometry_proofs_2/", "slug": "geometry_proofs_2", "name": "geometry_proofs_2" }, @@ -65296,7 +74082,7 @@ ], "seconds_per_fast_problem": 60.0, "live": true, - "path": "/math/geometry/congruent-triangles/e/geometry_proofs_1/", + "path": "/math/geometry/congruent-triangles/isoscleles_equil/e/geometry_proofs_1/", "slug": "geometry_proofs_1", "name": "geometry_proofs_1" }, @@ -65313,9 +74099,9 @@ "solving-systems-by-graphing-3", "graphings-systems-of-equations" ], - "seconds_per_fast_problem": 41.0, + "seconds_per_fast_problem": 42.0, "live": true, - "path": "/math/algebra/systems-of-eq-and-ineq/systems-of-eq-overview/e/graphing_systems_of_equations/", + "path": "/math/trigonometry/systems_eq_ineq/systems_tutorial_precalc/e/graphing_systems_of_equations/", "slug": "graphing_systems_of_equations", "name": "graphing_systems_of_equations" }, @@ -65328,9 +74114,9 @@ "parabola_intuition_2" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 36.0, + "seconds_per_fast_problem": 33.0, "live": true, - "path": "/math/algebra/quadratics/e/graphing_parabolas_0.5/", + "path": "/math/trigonometry/polynomial_and_rational/solving_graphing_quadratics/e/graphing_parabolas_0.5/", "slug": "graphing_parabolas_0.5", "name": "graphing_parabolas_0.5" }, @@ -65345,7 +74131,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/statistics/e/reading_line_charts_1/", + "path": "/math/arithmetic/interpreting-data-topic/reading_data/e/reading_line_charts_1/", "slug": "reading_line_charts_1", "name": "reading_line_charts_1" }, @@ -65364,9 +74150,9 @@ "function-inverses-example-2", "function-inverses-example-3" ], - "seconds_per_fast_problem": 11.0, + "seconds_per_fast_problem": 12.0, "live": true, - "path": "/math/algebra/algebra-functions/e/inverses_of_functions/", + "path": "/math/trigonometry/functions_and_graphs/fucntion_inverses/e/inverses_of_functions/", "slug": "inverses_of_functions", "name": "inverses_of_functions" }, @@ -65385,7 +74171,7 @@ ], "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/probability/e/permutations_1/", + "path": "/math/probability/probability-and-combinatorics-topic/permutations_and_combinations/e/permutations_1/", "slug": "permutations_1", "name": "permutations_1" }, @@ -65401,7 +74187,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/geometry/congruent-triangles/e/congruent_triangles_1/", + "path": "/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_1/", "slug": "congruent_triangles_1", "name": "congruent_triangles_1" }, @@ -65417,7 +74203,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/geometry/congruent-triangles/e/congruent_triangles_2/", + "path": "/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_2/", "slug": "congruent_triangles_2", "name": "congruent_triangles_2" }, @@ -65434,9 +74220,9 @@ "factoring-quadratic-expressions", "factoring-special-products" ], - "seconds_per_fast_problem": 11.0, + "seconds_per_fast_problem": 10.0, "live": true, - "path": "/math/algebra/quadratics/e/solving_quadratics_by_factoring/", + "path": "/math/trigonometry/polynomial_and_rational/quad_factoring/e/solving_quadratics_by_factoring/", "slug": "solving_quadratics_by_factoring", "name": "solving_quadratics_by_factoring" }, @@ -65452,9 +74238,9 @@ "numerator-and-denominator-of-a-fraction", "identifying-fraction-parts" ], - "seconds_per_fast_problem": 7.0, + "seconds_per_fast_problem": 8.0, "live": true, - "path": "/math/arithmetic/fractions/e/recognizing_fractions_0.5/", + "path": "/math/arithmetic/fractions/understanding_fractions/e/recognizing_fractions_0.5/", "slug": "recognizing_fractions_0.5", "name": "recognizing_fractions_0.5" }, @@ -65472,7 +74258,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/fractions/e/equivalent_fractions/", + "path": "/math/arithmetic/fractions/Equivalent_fractions/e/equivalent_fractions/", "slug": "equivalent_fractions", "name": "equivalent_fractions" }, @@ -65485,7 +74271,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 5.0, "live": false, - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/one_step_equations_0.5/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/one_step_equations_0.5/", "slug": "one_step_equations_0.5", "name": "one_step_equations_0.5" }, @@ -65494,12 +74280,15 @@ "display_name": "Simplifying logarithms", "description": "Simplify logarithms in the form log_base (number) = answer.", "title": "Simplifying logarithms", - "seconds_per_fast_problem": 5.0, "prerequisites": [ "exponents_4" ], + "related_video_readable_ids": [ + "introduction-to-logarithms" + ], + "seconds_per_fast_problem": 6.0, "live": true, - "path": "/math/algebra/logarithms-tutorial/e/logarithms_1/", + "path": "/math/algebra/logarithms-tutorial/logarithm_basics/e/logarithms_1/", "slug": "logarithms_1", "name": "logarithms_1" }, @@ -65514,7 +74303,7 @@ "related_video_readable_ids": [], "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/geometry/similarity/e/similar_triangles_2/", + "path": "/math/geometry/similarity/triangle_similarlity/e/similar_triangles_2/", "slug": "similar_triangles_2", "name": "similar_triangles_2" }, @@ -65529,9 +74318,9 @@ "related_video_readable_ids": [ "similar-triangles--part-2" ], - "seconds_per_fast_problem": 6.0, + "seconds_per_fast_problem": 7.0, "live": true, - "path": "/math/geometry/similarity/e/similar_triangles_1/", + "path": "/math/geometry/similarity/triangle_similarlity/e/similar_triangles_1/", "slug": "similar_triangles_1", "name": "similar_triangles_1" }, @@ -65549,7 +74338,7 @@ ], "seconds_per_fast_problem": 5.0, "live": true, - "path": "/math/arithmetic/factors-multiples/e/composite_numbers/", + "path": "/math/arithmetic/factors-multiples/prime_numbers/e/composite_numbers/", "slug": "composite_numbers", "name": "composite_numbers" }, @@ -65562,9 +74351,9 @@ "triangle_angles_1" ], "related_video_readable_ids": [], - "seconds_per_fast_problem": 20.0, + "seconds_per_fast_problem": 21.0, "live": true, - "path": "/math/geometry/triangle-properties/e/angle_bisector_theorem/", + "path": "/math/geometry/triangle-properties/angle_bisectors/e/angle_bisector_theorem/", "slug": "angle_bisector_theorem", "name": "angle_bisector_theorem" } diff --git a/kalite/static/data/topics.json b/kalite/static/data/topics.json index ffff2becba..786735c372 100755 --- a/kalite/static/data/topics.json +++ b/kalite/static/data/topics.json @@ -8,7935 +8,9578 @@ "path": "/math/arithmetic/", "children": [ { - 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"kind": "Exercise", - "name": "telling_time_2", - "prerequisites": [ - "telling_time" - ], - "seconds_per_fast_problem": 7.0 - } - ], - "hide": false, - "title": "Telling time", - "contains": [ - "Topic", - "Exercise" - ], - "id": "telling-time", - "description": "", - "topic_page_url": "/math/arithmetic/telling-time/e", - "extended_slug": "math/arithmetic/telling-time", - "slug": "telling-time", - "kind": "Topic" - }, - { - "path": "/math/arithmetic/rates-and-ratios/", + "path": "/math/arithmetic/addition-subtraction/", "children": [ { - "related_video_readable_ids": [ - "introduction-to-ratios--new-hd-version" - ], - "path": "/math/arithmetic/rates-and-ratios/e/expressing_ratios_as_fractions/", - "title": "Expressing ratios as fractions", - "live": true, - "description": null, - "display_name": "Expressing ratios as fractions", - "slug": "expressing_ratios_as_fractions", - "kind": "Exercise", - "name": "expressing_ratios_as_fractions", - "prerequisites": [ - "simplifying_fractions" - 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"path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/one_step_equations/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/one_step_equations/", "title": "One step equations", "live": true, "description": "Solve equations in one step.", @@ -8231,13 +9946,13 @@ "prerequisites": [ "one_step_equation_intuition" ], - "seconds_per_fast_problem": 8.0 + "seconds_per_fast_problem": 9.0 }, { "related_video_readable_ids": [ "simple-equations" ], - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equations_1/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/linear_equations_1/", "title": "One-step equations with multiplication", "live": true, "description": "Solve equations in one step.", @@ -8260,7 +9975,7 @@ "youtube_id": "tuVd355R-OQ", "duration": 830, "title": "Two-Step Equations", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/two-step-equations/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/two-step-equations/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/tuVd355R-OQ.mp4/tuVd355R-OQ.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/tuVd355R-OQ.mp4/tuVd355R-OQ.png", @@ -8281,7 +9996,7 @@ "youtube_id": "XoEn1LfVoTo", "duration": 521, "title": "Solving Ax+B = C", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/equations-2/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/equations-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XoEn1LfVoTo.mp4/XoEn1LfVoTo.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/XoEn1LfVoTo.mp4/XoEn1LfVoTo.png", @@ -8292,13 +10007,13 @@ }, { "kind": "Video", - "description": "u10_l1_t3_we2 Application problems with equation in one variable", + "description": "Application problems with equation in one variable", "keywords": "u10_l1_t3_we2, Application, problems, with, equation, in, one, variable, CC_3_MD_8, CC_4_MD_3, CC_6_EE_2_c, CC_6_EE_6, CC_7_EE_4, CC_7_EE_4_a, CC_8_EE_7_a", "related_exercise": null, "youtube_id": "iimpwYBiKNg", "duration": 122, "title": "Example: Dimensions of a garden", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/application-problems-with-equation-in-one-variable/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/application-problems-with-equation-in-one-variable/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/iimpwYBiKNg.mp4/iimpwYBiKNg.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/iimpwYBiKNg.mp4/iimpwYBiKNg.png", @@ -8311,7 +10026,7 @@ "related_video_readable_ids": [ "algebra--linear-equations-2" ], - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equations_2/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/linear_equations_2/", "title": "2-step equations", "live": true, "description": "Solve equations in two steps.", @@ -8322,17 +10037,17 @@ "prerequisites": [ "linear_equations_1" ], - "seconds_per_fast_problem": 10.0 + "seconds_per_fast_problem": 9.0 }, { "kind": "Video", - "description": "U02_L1_T1_we1: Solving Equations 1", + "description": "Solving Equations 1", "keywords": "U02_L1_T1_we1:, Solving, Equations, CC_8_EE_7, CC_39336_A-REI_1, CC_39336_A-REI_3", "related_exercise": null, "youtube_id": "p5e5mf_G3FI", "duration": 184, - "title": "Solving Equations 1", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/solving-equations-1/", + "title": "Example: Two-step equation with x/4 term", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/solving-equations-1/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/p5e5mf_G3FI.mp4/p5e5mf_G3FI.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/p5e5mf_G3FI.mp4/p5e5mf_G3FI.png", @@ -8340,24 +10055,25 @@ }, "slug": "solving-equations-1", "readable_id": "solving-equations-1" - }, - { - "kind": "Video", - "description": "U02_L1_T3_we1 : Algebraic Word Problem", - "keywords": "U02_L1_T3_we1, Algebraic, Word, Problem, CC_6_EE_5, CC_6_EE_6, CC_7_EE_4_a, CC_8_EE_7_b", - "related_exercise": null, - "youtube_id": "cNlwi6lUCEM", - "duration": 482, - "title": "Algebraic Word Problem", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/algebraic-word-problem/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/cNlwi6lUCEM.mp4/cNlwi6lUCEM.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/cNlwi6lUCEM.mp4/cNlwi6lUCEM.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cNlwi6lUCEM.m3u8/cNlwi6lUCEM.m3u8" - }, - "slug": "algebraic-word-problem", - "readable_id": "algebraic-word-problem" - }, + } + ], + "hide": false, + "title": "Equations for beginners", + "contains": [ + "Topic", + "Video", + "Exercise" + ], + "id": "equations_beginner", + "description": "Like the \"Why of algebra\" and \"Super Yoga plans\" tutorials, we'll introduce you to the most fundamental ideas of what equations mean and how to solve them. We'll then do a bunch of examples to make sure you're comfortable with things like 3x \u2013 7 = 8. So relax, grab a cup of hot chocolate, and be on your way to becoming an algebra rockstar.\n\nAnd, by the way, in any of the \"example\" videos, try to solve the problem on your own before seeing how Sal does it. It makes the learning better!", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/equations_beginner", + "slug": "equations_beginner", + "kind": "Topic" + }, + { + "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/", + "children": [ { "kind": "Video", "description": "Equations with the variable on both sides.", @@ -8379,63 +10095,31 @@ "slug": "equations-3", "readable_id": "equations-3" }, - { - "related_video_readable_ids": [], - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equation_word_problems/", - "title": "Linear equation word problems", - "live": true, - "description": "Word problems that require setting up multi-step equations to solve", - "display_name": "Linear equation word problems", - "slug": "linear_equation_word_problems", - "kind": "Exercise", - "name": "linear_equation_word_problems", - "prerequisites": [ - "linear_equations_2" - ], - "seconds_per_fast_problem": 20.0 - }, { "kind": "Video", - "description": "Sum of Consecutive Odd Integers", - "keywords": "U02_L1_T3_we2, algebra, sum, of, integers, CC_6_EE_6, CC_39336_A-REI_1, CC_39336_A-REI_3", + "description": "Multi-step equations 1", + "keywords": "u10_l1_t2_we1, Multi-step, equations, CC_6_EE_2, CC_6_EE_2_c", "related_exercise": null, - "youtube_id": "d8De3xcVmnw", + "youtube_id": "CGS0vihzSlc", "duration": 273, - "title": "Challenge Example: Sum of integers", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/sum-of-consecutive-odd-integers/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/d8De3xcVmnw.mp4/d8De3xcVmnw.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/d8De3xcVmnw.mp4/d8De3xcVmnw.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/d8De3xcVmnw.m3u8/d8De3xcVmnw.m3u8" - }, - "slug": "sum-of-consecutive-odd-integers", - "readable_id": "sum-of-consecutive-odd-integers" - }, - { - "kind": "Video", - "description": "Equations with Variables on Both Sides", - "keywords": "Variables, On, Both, Sides, equations, CC_39336_A-REI_3", - "related_exercise": null, - "youtube_id": "xMsG9hvqzbY", - "duration": 568, - "title": "Equations with Variables on Both Sides", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/equations-with-variables-on-both-sides/", + "title": "Example 1: Variables on both sides", + "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/multi-step-equations-1/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xMsG9hvqzbY.mp4/xMsG9hvqzbY.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/xMsG9hvqzbY.mp4/xMsG9hvqzbY.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xMsG9hvqzbY.m3u8/xMsG9hvqzbY.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/CGS0vihzSlc.mp4/CGS0vihzSlc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/CGS0vihzSlc.mp4/CGS0vihzSlc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CGS0vihzSlc.m3u8/CGS0vihzSlc.m3u8" }, - "slug": "equations-with-variables-on-both-sides", - "readable_id": "equations-with-variables-on-both-sides" + "slug": "multi-step-equations-1", + "readable_id": "multi-step-equations-1" }, { "kind": "Video", - "description": "U02_L1_T1_we2: Solving Equations 2", + "description": "Solving Equations 2", "keywords": "U02_L1_T1_we2, Solving, Equations, CC_8_EE_7, CC_8_EE_7_b, CC_39336_A-REI_1, CC_39336_A-REI_3", "related_exercise": null, "youtube_id": "1c5HY3z4k8M", "duration": 246, - "title": "Solving Equations 2", + "title": "Example 2: Variables on both sides", "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/solving-equations-2/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/1c5HY3z4k8M.mp4/1c5HY3z4k8M.mp4", @@ -8445,6 +10129,23 @@ "slug": "solving-equations-2", "readable_id": "solving-equations-2" }, + { + "kind": "Video", + "description": "Equation Special Cases", + "keywords": "u10_l1_t3_we1, Equation, Special, Cases, CC_6_EE_2, CC_6_EE_3, CC_6_EE_5", + "related_exercise": null, + "youtube_id": "zKotuhQWIRg", + "duration": 115, + "title": "Equation Special Cases", + "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/equation-special-cases/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/zKotuhQWIRg.mp4/zKotuhQWIRg.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/zKotuhQWIRg.mp4/zKotuhQWIRg.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zKotuhQWIRg.m3u8/zKotuhQWIRg.m3u8" + }, + "slug": "equation-special-cases", + "readable_id": "equation-special-cases" + }, { "related_video_readable_ids": [ "equations-3" @@ -8452,7 +10153,7 @@ "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equations_3/", "title": "Equations with variables on both sides", "live": true, - "description": "Solve equations with a variable on both sides. Solutions are integers.", + "description": "Solve equations with a variable on both sides.", "display_name": "Equations with variables on both sides", "slug": "linear_equations_3", "kind": "Exercise", @@ -8460,150 +10161,71 @@ "prerequisites": [ "linear_equations_2" ], - "seconds_per_fast_problem": 19.0 + "seconds_per_fast_problem": 15.0 }, { - "related_video_readable_ids": [ - "algebra--linear-equations-4" - ], - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equations_4/", - "title": "Multi-step equations", + "kind": "Video", + "description": "Constructing and solving a basic equation based on a word problem.", + "keywords": "", + "related_exercise": null, + "youtube_id": "roHvNNFXr4k", + "duration": 286, + "title": "Basic linear equation word problem", + "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/basic-linear-equation-word-problem/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/roHvNNFXr4k.mp4/roHvNNFXr4k.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/roHvNNFXr4k.mp4/roHvNNFXr4k.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/roHvNNFXr4k.m3u8/roHvNNFXr4k.m3u8" + }, + "slug": "basic-linear-equation-word-problem", + "readable_id": "basic-linear-equation-word-problem" + }, + { + "related_video_readable_ids": [], + "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equation_word_problems/", + "title": "Linear equation word problems", "live": true, - "description": "Solve equations with variables in numerator and denominator. Solutions can be fractions.", - "display_name": "Multi-step equations", - "slug": "linear_equations_4", - "kind": "Exercise", - "name": "linear_equations_4", - "prerequisites": [ - "linear_equations_3" - ], - "seconds_per_fast_problem": 34.0 - }, - { - "kind": "Video", - "description": "U02_L1_T2_we1 : Solving Equations with the Distributive Property", - "keywords": "U02_L1_T2_we1, Solving, Equations, with, the, Distributive, Property, CC_6_EE_3, CC_8_EE_7, CC_8_EE_7_b, CC_39336_A-REI_1, CC_39336_A-REI_3", - "related_exercise": { - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/multistep_equations_with_distribution/", - "slug": "multistep_equations_with_distribution", - "title": "Multistep equations with distribution" - }, - "youtube_id": "YZBStgZGyDY", - "duration": 364, - "title": "Solving Equations with the Distributive Property", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/solving-equations-with-the-distributive-property/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/YZBStgZGyDY.mp4/YZBStgZGyDY.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/YZBStgZGyDY.mp4/YZBStgZGyDY.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/YZBStgZGyDY.m3u8/YZBStgZGyDY.m3u8" - }, - "slug": "solving-equations-with-the-distributive-property", - "readable_id": "solving-equations-with-the-distributive-property" - }, - { - "kind": "Video", - "description": "U02_L1_T2_we2: Solving equations with the distributive property 2", - "keywords": "U02_L1_T2_we2:, Solving, equations, with, the, distributive, property, CC_39336_A-REI_1, CC_39336_A-REI_3", - "related_exercise": { - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/multistep_equations_with_distribution/", - "slug": "multistep_equations_with_distribution", - "title": "Multistep equations with distribution" - }, - "youtube_id": "PL9UYj2awDc", - "duration": 290, - "title": "Solving equations with the distributive property 2", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/solving-equations-with-the-distributive-property-2/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PL9UYj2awDc.mp4/PL9UYj2awDc.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/PL9UYj2awDc.mp4/PL9UYj2awDc.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PL9UYj2awDc.m3u8/PL9UYj2awDc.m3u8" - }, - "slug": "solving-equations-with-the-distributive-property-2", - "readable_id": "solving-equations-with-the-distributive-property-2" - }, - { - "kind": "Video", - "description": "u10_l1_t3_we1 Equation Special Cases", - "keywords": "u10_l1_t3_we1, Equation, Special, Cases, CC_6_EE_2, CC_6_EE_3, CC_6_EE_5", - "related_exercise": null, - "youtube_id": "zKotuhQWIRg", - "duration": 115, - "title": "Equation Special Cases", - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/equation-special-cases/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/zKotuhQWIRg.mp4/zKotuhQWIRg.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/zKotuhQWIRg.mp4/zKotuhQWIRg.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/zKotuhQWIRg.m3u8/zKotuhQWIRg.m3u8" - }, - "slug": "equation-special-cases", - "readable_id": "equation-special-cases" - }, - { - "related_video_readable_ids": [ - "solving-equations-with-the-distributive-property", - "solving-equations-with-the-distributive-property-2" - ], - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/multistep_equations_with_distribution/", - "title": "Multistep equations with distribution", - "live": true, - "description": "Solve linear equations like -(5x+1)=9x-5", - "display_name": "Multistep equations with distribution", - "slug": "multistep_equations_with_distribution", + "description": "Word problems that require setting up multi-step equations to solve", + "display_name": "Linear equation word problems", + "slug": "linear_equation_word_problems", "kind": "Exercise", - "name": "multistep_equations_with_distribution", + "name": "linear_equation_word_problems", "prerequisites": [ - "linear_equations_4" + "linear_equations_2" ], - "seconds_per_fast_problem": 38.0 + "seconds_per_fast_problem": 19.0 } ], "hide": false, - "title": "Solving equations examples and practice", + "title": "More fancy equations for beginners", "contains": [ "Topic", "Video", "Exercise" ], "id": "basic-equation-practice", - "description": "A no frills march through the basics of solving equations. A great tutorial if you want to see a bunch of examples and then get some practice. Really recommend you pause the videos and try to solve the examples before Sal does.", + "description": "You've been through \"Equation examples for beginners\" and are feeling good. Well, this tutorial continues that journey by addressing equations that are just a bit more fancy. 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Well, this tutorial might help.", - "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations", - "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations", - "slug": "absolute-value-equations", + "id": "More-equation-practice", + "description": "This tutorial is for you if you already have the basics of solving equations and are looking to put your newfound powers to work in more examples.", + "topic_page_url": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice", + "extended_slug": "math/algebra/solving-linear-equations-and-inequalities/More-equation-practice", + "slug": "More-equation-practice", "kind": "Topic" }, { @@ -9908,7 +11288,7 @@ "related_exercise": null, "youtube_id": "3Po3nfITsok", "duration": 863, - "title": "Order of Operations Example", + "title": "Order of Operations examples", "path": "/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/order-of-operations-example/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/3Po3nfITsok.mp4/3Po3nfITsok.mp4", @@ -9940,7 +11320,7 @@ "description": "solving equations of the form AX+B=C", "keywords": "Algebra", "related_exercise": { - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equations_2/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/linear_equations_2/", "slug": "linear_equations_2", "title": "2-step equations" }, @@ -9978,7 +11358,7 @@ "description": "Solving linear equations with variable expressions in the denominators of fractions", "keywords": "algebra, CC_7_EE_1, CC_8_EE_7_b", "related_exercise": { - "path": "/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equations_4/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/e/linear_equations_4/", "slug": "linear_equations_4", "title": "Multi-step equations" }, @@ -9999,7 +11379,7 @@ "description": "Introduction to averages and algebra problems involving averages.", "keywords": "Math, Khan, Average, Algebra, CC_6_EE_6", "related_exercise": { - "path": "/math/statistics/e/average_word_problems/", + "path": "/math/probability/descriptive-statistics/central_tendency/e/average_word_problems/", "slug": "average_word_problems", "title": "Average word problems" }, @@ -10020,7 +11400,7 @@ "description": "Taking a percentage of a number.", "keywords": "Percent, math, algebra, khan, CC_6_RP_3_c, CC_7_RP_3", "related_exercise": { - "path": "/math/arithmetic/percents/e/percentage_word_problems_1/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/percent_word_problems/e/percentage_word_problems_1/", "slug": "percentage_word_problems_1", "title": "Percentage word problems 1" }, @@ -10041,7 +11421,7 @@ "description": "Growing a quantity by a percentage", "keywords": "Percentage, math, khan, CC_7_EE_2, CC_7_RP_3", "related_exercise": { - "path": "/math/arithmetic/percents/e/percentage_word_problems_1/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/percent_word_problems/e/percentage_word_problems_1/", "slug": "percentage_word_problems_1", "title": "Percentage word problems 1" }, @@ -10062,7 +11442,7 @@ "description": "Slightly harder percent problems", "keywords": "Percent, math, algebra, CC_7_RP_3", "related_exercise": { - "path": "/math/arithmetic/percents/e/percentage_word_problems_2/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/percent_word_problems/e/percentage_word_problems_2/", "slug": "percentage_word_problems_2", "title": "Percentage word problems 2" }, @@ -10083,7 +11463,7 @@ "description": "Age word problems", "keywords": "algebra, word, problems, CC_7_RP_2_c", "related_exercise": { - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/e/age_word_problems/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/e/age_word_problems/", "slug": "age_word_problems", "title": "Age word problems" }, @@ -10104,7 +11484,7 @@ "description": "Second set of age word problems", "keywords": "algebra, word, problems, CC_7_RP_2_c", "related_exercise": { - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/e/age_word_problems/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/e/age_word_problems/", "slug": "age_word_problems", "title": "Age word problems" }, @@ -10125,7 +11505,7 @@ "description": "Part 3 of the presentation on age word problems", "keywords": "algebra, word, problems, CC_7_RP_2_c", "related_exercise": { - "path": "/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/e/age_word_problems/", + "path": "/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/e/age_word_problems/", "slug": "age_word_problems", "title": "Age word problems" }, @@ -10157,7 +11537,7 @@ } ], "hide": false, - 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After this tutorial, you will be prepared to start thinking deeper about the equation of a line.", + "topic_page_url": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts", + "extended_slug": "math/algebra/linear-equations-and-inequalitie/slope-and-intercepts", + "slug": "slope-and-intercepts", + "kind": "Topic" + }, + { + "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/", + "children": [ + { + "kind": "Video", + "description": "Graphing a line in slope intercept form", "keywords": "U04_L1_T3_we1, Graphing, line, in, slope, intercept, form, CC_8_EE_6, CC_8_F_3, CC_8_F_5, CC_39336_F-IF_4, CC_39336_F-IF_7, CC_39336_F-IF_7_a", "related_exercise": { - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-a-line/e/graphing_linear_equations/", + "path": "/math/trigonometry/graphs/line_equation/e/graphing_linear_equations/", "slug": "graphing_linear_equations", "title": "Graphing linear equations" }, "youtube_id": "uk7gS3cZVp4", "duration": 181, "title": "Graphing a line in slope intercept form", - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-a-line/v/graphing-a-line-in-slope-intercept-form/", + "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/graphing-a-line-in-slope-intercept-form/", "download_urls": { "mp4": "http://s3.amazonaws.com/KA-youtube-converted/uk7gS3cZVp4.mp4/uk7gS3cZVp4.mp4", "png": "http://s3.amazonaws.com/KA-youtube-converted/uk7gS3cZVp4.mp4/uk7gS3cZVp4.png", @@ -11521,1267 +12917,1464 @@ }, { "kind": "Video", - "description": "Getting a feel for slope and y-intercept", - "keywords": "algebra, slope, y-intercept, CC_8_EE_6, CC_39336_F-BF_3", - "related_exercise": { - "path": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/e/line_graph_intuition/", - "slug": "line_graph_intuition", - "title": "Line graph intuition" - }, - "youtube_id": "Nhn-anmubYU", - "duration": 515, - "title": "Algebra: Slope and Y-intercept intuition", - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-a-line/v/algebra--slope-and-y-intercept-intuition/", + "description": "Converting to slope-intercept form", + "keywords": "U04_L1_T4_we1, Converting, to, slope-intercept, form, CC_8_EE_5, CC_8_EE_8, CC_8_EE_8_b, CC_8_EE_8_c, CC_8_F_3, CC_8_F_5, CC_39336_F-IF_7_a", + "related_exercise": null, + "youtube_id": "V6Xynlqc_tc", + "duration": 307, + "title": "Converting to slope-intercept form", + "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/converting-to-slope-intercept-form/", "download_urls": { - 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"description": "Determining the equation of a line", - "keywords": "algebra, CC_8_EE_6", + "description": "Linear Equations in Slope Intercept Form", + "keywords": "Linear, Equations, in, Slope, Intercept, Form, CC_8_EE_6, CC_8_F_3, CC_8_F_4", "related_exercise": { - "path": "/math/algebra/linear-equations-and-inequalitie/slope-and-intercepts/e/solving_for_the_y-intercept/", - "slug": "solving_for_the_y-intercept", - "title": "Solving for the y-intercept" + "path": "/math/trigonometry/graphs/line_equation/e/slope_intercept_form/", + "slug": "slope_intercept_form", + "title": "Slope intercept form" }, - "youtube_id": "gvwKv6F69F0", - "duration": 405, - "title": "Algebra: Equation of a line", - "path": "/math/algebra/linear-equations-and-inequalitie/graphing-a-line/v/algebra--equation-of-a-line/", + "youtube_id": "5fkh01mClLU", + "duration": 898, + "title": "Linear Equations in Slope Intercept Form", + "path": "/math/algebra/linear-equations-and-inequalitie/equation-of-a-line/v/linear-equations-in-slope-intercept-form/", "download_urls": { - 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Simulation available at: http://www.khanacademy.org/cs/challenge-unbiased-estimate-of-population-variance/1169428428", - "keywords": "sample variance biased unbiased", - "related_exercise": null, - "youtube_id": "Cn0skMJ2F3c", - "duration": 384, - "title": "Simulation showing bias in sample variance", - "path": "/math/statistics/v/simulation-showing-bias-in-sample-variance/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Cn0skMJ2F3c.mp4/Cn0skMJ2F3c.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/Cn0skMJ2F3c.mp4/Cn0skMJ2F3c.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Cn0skMJ2F3c.m3u8/Cn0skMJ2F3c.m3u8" - }, - "slug": "simulation-showing-bias-in-sample-variance", - "readable_id": "simulation-showing-bias-in-sample-variance" - }, - { - "category": "documentation", - "next_steps": "", - "kind": "Scratchpad", - "user_id": "http://googleid.khanacademy.org/115490664697321480434", - "description": "", - "modified_datetime": "2012-12-13T03:11:20Z", - "tags": [], - "origin_scratchpad_id": 1169428428, - "relative_url": "/cs/unbiased-estimate-of-population-variance/1223184464", - "title": "Unbiased estimate of population variance", - "sort_index": null, - "origin_revision_id": 25001, - "difficulty": -1, - "url": "http://www.khanacademy.org/cs/unbiased-estimate-of-population-variance/1223184464", - "youtube_id": "", - "id": 1223184464, - "is_published": true, - "type": "scratchpad", - "slug": "unbiased-estimate-of-population-variance", - "revision": { - "config_version": 3, - "kind": "ScratchpadRevision", - "code": "/************************************************************\n * This program generates a population of random variables.\n * The top graph is the distribution of the population.\n * \n * Click on the lower graphs to enlarge them.\n * Click again to return to the normal view.\n * If multiple dashed lines appear click anywhere.\n * \n * The program continually samples the population with a \n * sample size between 2 and 10.\n * The second graph shows sample mean vs. sample variance.\n * It shows that sample means further from the population mean\n * tend to have a smaller variance.\n * These samples tend to be smaller samples (more red).\n * \n * The third graph shows sample variance as a function of\n * sample size. Sample variance is plotted as a percentage \n * of population variance.\n * \n * The variance of a sample of size 2 approaches 1/2 the \n * population variance.\n * The variance of a sample of size 3 approaches 2/3 the \n * population variance.\n * The variance of a sample of size 4 approaches 3/4 the \n * population variance.\n * And so on\n * \n * In summary, small samples are more likely to have a mean\n * that is far from the population mean. Samples with a mean\n * far from the population mean are more likely to have a low\n * variance.\n*************************************************************/\n\nframeRate(30);\n\n// Population variables\nvar popMin = 1;\nvar popMax = 20;\nvar freqMax = 50;\n\n// Sample variables\nvar sampleSizeMin = 2; // Makes no sense to be <2\nvar sampleSizeMax = 10;\nvar sampleCount = 0;\n\n// Display variables\nvar titleFont = createFont(\"Times\", 16);\nvar labelFont = createFont(\"Arial\", 10);\nvar scatterSize = 3;\nvar dashSize = 4;\nvar backgroundColour = color(245, 245, 255);\n\n// Used to only refresh graphs when necessary\nvar refresh = true;\nvar mode = 'standard';\nvar modeSpeed = 50;\nvar modeN = modeSpeed;\n\n// Graph locations\nvar popGraph = { x: 15, y: 50,\n width: 369, height: 110,\n xMin: popMin, xMax: popMax,\n yMax: freqMax,\n xlabel: \"Value of random variable\",\n ylabel: \"Counts\",\n stroke: color(0, 150, 0),\n colour1: color(0, 150, 0, 80)\n};\n \nvar sampleGraph = { x: 218, y: 220,\n width: 167, height: 165,\n xMin: sampleSizeMin, xMax: sampleSizeMax,\n yMax: 100,\n xlabel: \"Sample size\",\n ylabel: \"Sample var / Pop. var (%)\",\n stroke: color(200, 200, 200),\n colour1: color(250, 0, 0, 160),\n colour2: color(0, 0, 250, 160)\n};\n\nvar scatterGraph = { x: 15, y: 220,\n width: 172, height: 165,\n xMin: popMin, xMax: popMax,\n yMax: (0.5*popMax) * (0.5*popMax),\n xlabel: \"Sample mean\",\n ylabel: \"Sample variance\",\n colour1: color(250, 0, 0, 120),\n colour2: color(0, 0, 250, 120)\n};\n \nvar borderBottom = 25;\nvar borderLeft = 25; \n\n// How many samples of each size have we taken\nvar sampleSizeCount = [];\n// Total variance of samples for each sample size;\nvar sampleSizeVar = [];\n// Variance of samples relative to population variance for each sample size;\nvar sampleSizeVarPercent = [];\n// List of sample, sizes, means and variances\nvar sampleStats = [];\n\nfor (var i=sampleSizeMin; i<=sampleSizeMax; i++) {\n sampleSizeCount.push(0);\n sampleSizeVar.push(0);\n sampleSizeVarPercent.push(0);\n}\n\npopGraph.midX = popGraph.x + borderLeft + \n (popGraph.width - borderLeft) / 2;\nsampleGraph.midX = sampleGraph.x + borderLeft + \n (sampleGraph.width - borderLeft) / 2;\nscatterGraph.midX = scatterGraph.x + borderLeft + \n (scatterGraph.width - borderLeft) / 2;\n\nvar newPopulation = function() {\n refresh = true;\n sampleCount = 0;\n};\n\n// Create a random distribution for N values\nvar createRandomPopulation = function(N) {\n newPopulation();\n var population = [];\n for (var i=0; i scatterGraph.x &&\n mouseX < scatterGraph.x + scatterGraph.width &&\n mouseY > scatterGraph.y) {\n mode = \"scatter\";\n modeN = 0;\n }\n else if (mouseX > sampleGraph.x &&\n mouseX < sampleGraph.x + scatterGraph.width &&\n mouseY > sampleGraph.y) {\n mode = \"sample-size\";\n modeN = 0;\n }\n }\n refresh = true;\n};\n\n// By Peter Collingridge", - "created": "2012-12-13T03:11:20Z", - "recording": {}, - "id": 1001, - "audio_id": 0 - } - }, - { - "kind": "Video", - "description": "Simulation by KA user tetef showing that dividing by (n-1) gives us an unbiased estimate of population variance. Simulation at: http://www.khanacademy.org/cs/will-it-converge-towards-1/1167579097", - "keywords": "sample variance, biased, unbiased", - "related_exercise": null, - "youtube_id": "0QS4VHPV4JA", - "duration": 270, - "title": "Simulation providing evidence that (n-1) gives us unbiased estimate", - "path": "/math/statistics/v/simulation-providing-evidence-that--n-1--gives-us-unbiased-estimate/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/0QS4VHPV4JA.mp4/0QS4VHPV4JA.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/0QS4VHPV4JA.mp4/0QS4VHPV4JA.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0QS4VHPV4JA.m3u8/0QS4VHPV4JA.m3u8" - }, - "slug": "simulation-providing-evidence-that--n-1--gives-us-unbiased-estimate", - "readable_id": "simulation-providing-evidence-that--n-1--gives-us-unbiased-estimate" - }, - { - "category": "documentation", - "next_steps": "", - "kind": "Scratchpad", - "user_id": "http://googleid.khanacademy.org/115490664697321480434", - "description": "", - "modified_datetime": "2012-12-13T03:12:08Z", - "tags": [], - "origin_scratchpad_id": 1167579097, - "relative_url": "/cs/will-it-converge-towards-1/1223034730", - "title": "Will it converge towards -1?", - "sort_index": null, - "origin_revision_id": 78001, - "difficulty": -1, - "url": "http://www.khanacademy.org/cs/will-it-converge-towards-1/1223034730", - "youtube_id": "", - "id": 1223034730, - "is_published": true, - "type": "scratchpad", - "slug": "will-it-converge-towards-1", - "revision": { - "config_version": 3, - "kind": "ScratchpadRevision", - "code": "/***********************************************************\n WILL IT CONVERGE TOWARDS -1?\n\nBuild a population by clicking in the blue area.\nThe value of an item is its distance from the left. The population's variance appears on the graph.\n\nPress a key for single shot at clicking.\n \nChoose a sample size, then generate a randomly selected sample. The items of the sample turn red. (The population doesn't change).\n\n ------------------------------------------------\n | Variance = Sum((x[i]-mean(x))\u00b2)/(n+a) |\n ------------------------------------------------\n\nThe graph shows the variance versus the 'a' coefficient in the formula above for the sample shown and the average of all the samples that have been generated.\n\nThus if the best estimate of the variance is whith the coeficient a=-1, the value of 'a' for which the curve of the average of all the samples that have been generated crosses the population's variance should converge towards -1. This is because the more sample you average the more accurate you will be. Just hold the \"generate sample\" button until you see it converge.\n\nYou can also move the green dot along the abcissa to see how the calculation of the variance of the sample changes.\n***********************************************************/\n\n/*v : population vector*/\nvar v=[];\n/*indices : vector of indices (in v) of the sample*/\nvar indices=[];\nvar realVariance=0;\nvar realmean=0;\nvar varianceSum=0;\nvar samplemean=0;\nvar n=20;\nvar nbrSamplesGenerated=0;\nvar cumulativeVarianceSum=0;\nvar a=-1;\n\nvar sampleGeneratedOnce=0;\n\nvar blueArea = { offsetPosition : -140\n};\n\nvar SDGraph = { xPosition : 53, yPosition : 374,\n high : 125, large : 270,\n precision : 0.1,\n xMin : -3, xMax : 1,\n yMin : 0, yMax : 0,\n // Change these values for zoom-in vertically\n yBottom :0.7, yTop : 1.3\n};\n/*************************\n * FUNCTION\nSample variance\n**************************/\nvar calcSampleVarianceSum = function()\n{\n/**Calculate variance for sample**/\nvarianceSum=0;\nsamplemean=0;\nfor (var i = 0; i < indices.length; i+=1)\n{\n samplemean=samplemean+v[indices[i]];\n}\nsamplemean=samplemean/indices.length;\nfor (i = 0; i < indices.length; i+=1)\n{\nvarianceSum=varianceSum+pow((v[indices[i]]-samplemean),2);\n}\n//varianceSum is the variance*(n-a)\n//cumulativeVarianceSum is the sum of the variance*(n-a) over all the samples generated. It has to be divided by ((n-a*nbrSamplesGenerated) to give the mean of the variances over all the samples generated.\nnbrSamplesGenerated++;\ncumulativeVarianceSum=cumulativeVarianceSum+varianceSum;\n};\n\n/*************************\n * FUNCTION\nDecimal round\n**************************/\nvar decimalRound = function (value, decimals) {\n return round(value * pow(10, decimals)) / pow(10, decimals);\n};\n\n/*************************\n * FUNCTION\nDraw Graph with variance of\npopulation only\n**************************/\nvar draw1Graph = function(graph)\n{\n //Axis\n stroke(0, 0, 0);\n fill(0, 0, 0);\n strokeWeight(2);\n line(graph.xPosition,graph.yPosition,graph.xPosition+graph.large,graph.yPosition);\n line(graph.xPosition,graph.yPosition-1,graph.xPosition,graph.yPosition-graph.high);\n textSize(10);\n text(graph.xMin,graph.xPosition,graph.yPosition + 13);\n text(graph.xMax,graph.xPosition + graph.large,graph.yPosition + 13);\n text(decimalRound(sqrt(graph.yMin),2)+\"\u00b2\",graph.xPosition - 28,graph.yPosition);\n text(decimalRound(sqrt(graph.yMax),1)+\"\u00b2\",graph.xPosition - 28,graph.yPosition - graph.high + 4);\n text(\"'a' coefficient\",graph.xPosition + graph.large/2- 30,graph.yPosition + 23);\n rotate(-90);\n text(\"Variance\",-(graph.yPosition-40),graph.xPosition - 39);\n rotate(90);\n \n //Legend\n fill(255, 255, 255);\n stroke(0, 0, 0);\n strokeWeight(1);\n rect(330,250,65,100);\n fill(0, 0, 0);\n text(\"Legend\",330,247);\n stroke(2, 115, 171);\n fill(2, 115, 171);\n text(\"- Population\",332,262);\n text(\" variance\",332,277);\n\n //Population data\n stroke(2, 115, 171);\n fill(2, 115, 171);\n strokeWeight(1);\n var y1= graph.yPosition - ((realVariance)-graph.yMin)*graph.high/(graph.yMax-graph.yMin);\n if(y1>graph.yPosition-graph.high && y1(graph.yPosition-graph.high) && y2>(graph.yPosition-graph.high) && y1graph.yPosition){\n y1=graph.yPosition;\n }\n else {\n line(x1,y1,graph.xPosition,y1);\n text(decimalRound(sqrt(varianceSum/(indices.length + a)),1)+\"\u00b2\",graph.xPosition - 30,y1+5);\n }\n line(x1,y1,x1,graph.yPosition);\n text(\"\"+decimalRound(a,2),x1-10,graph.yPosition+13);\n strokeWeight(10);\n point(x1,graph.yPosition);\n \n //cumulative sample\n stroke(237, 0, 0);\n fill(237, 0, 0);\n y1=graph.yPosition - ((cumulativeVarianceSum/(nbrSamplesGenerated*(indices.length + graph.xMin)))-graph.yMin)*graph.high/(graph.yMax-graph.yMin);\n y2=0;\n strokeWeight(1);\n for (i=1;i<=nbPoints;i++)\n {\n y2 = graph.yPosition - ((cumulativeVarianceSum/(nbrSamplesGenerated*(indices.length + graph.xMin+i*graph.precision)))-graph.yMin)*graph.high/(graph.yMax-graph.yMin);\n x1 = graph.xPosition + (i-1)*graph.precision*graph.large/(graph.xMax-graph.xMin);\n x2 = graph.xPosition + (i)*graph.precision*graph.large/(graph.xMax-graph.xMin);\n if(y1>(graph.yPosition-graph.high) && y2>(graph.yPosition-graph.high) && y1graph.xPosition && x10 && SD<400){\n stroke(17, 219, 24);\n fill(17, 219, 24);\n textSize(14);\n \n text(\"Sample standard deviation : \"+decimalRound(SD,1),samplemean+SD-116,280+blueArea.offsetPosition);\n strokeWeight(2);\n line(samplemean+SD,285+blueArea.offsetPosition,samplemean+SD,333+blueArea.offsetPosition);\n line(samplemean-SD,301+blueArea.offsetPosition,samplemean-SD,333+blueArea.offsetPosition);\n strokeWeight(1);\n line(samplemean,290+blueArea.offsetPosition,samplemean+SD,290+blueArea.offsetPosition);\n line(samplemean+SD-4,286+blueArea.offsetPosition,samplemean+SD,290+blueArea.offsetPosition);\n line(samplemean+SD-4,294+blueArea.offsetPosition,samplemean+SD,290+blueArea.offsetPosition);\n line(samplemean+5,286+blueArea.offsetPosition,samplemean+1,290+blueArea.offsetPosition);\n line(samplemean+5,294+blueArea.offsetPosition,samplemean+1,290+blueArea.offsetPosition);\n }\n};\n\n/*************************\n * FUNCTION\nDraw population standard deviation\n**************************/\nvar drawRealSD = function()\n{\n /**Visualize standard deviation**/\n var realSD=sqrt(realVariance);\n fill(63, 18, 186); \n stroke(63, 18, 186);\n textSize(14);\n text('Population standard deviation : '+decimalRound(realSD,1),realmean+realSD/2 - 103,368+blueArea.offsetPosition);\n strokeWeight(2);\n line(realmean+realSD,301+blueArea.offsetPosition,realmean+realSD,350+blueArea.offsetPosition);\n line(realmean-realSD,301+blueArea.offsetPosition,realmean-realSD,333+blueArea.offsetPosition);\n strokeWeight(1);\n line(realmean,345+blueArea.offsetPosition,realmean+realSD,345+blueArea.offsetPosition);\n line(realmean+realSD-4,341+blueArea.offsetPosition,realmean+realSD,345+blueArea.offsetPosition);\n line(realmean+realSD-4,349+blueArea.offsetPosition,realmean+realSD,345+blueArea.offsetPosition);\n line(realmean+5,341+blueArea.offsetPosition,realmean+1,345+blueArea.offsetPosition);\n line(realmean+5,349+blueArea.offsetPosition,realmean+1,345+blueArea.offsetPosition);\n};\n\n/*************************\n * FUNCTION\ndraw population\n**************************/\nvar showNbrsamplesGenerated = function()\n{ \n noStroke();\n fill(255, 255, 255);\n rect(230,101,170,20);\n fill(0, 0, 0);\n textSize(14);\n text((['Samples generated :'].concat((nbrSamplesGenerated).toString())).join(\" \"),230,115);\n};\n\n/*************************\n * FUNCTION\ndraw population\n**************************/\nvar drawPopulation = function()\n{\n strokeWeight(1);\n stroke(255, 219, 38);\n for(var i=0; i300+blueArea.offsetPosition && mouseY<335+blueArea.offsetPosition && mouseX>0 && mouseX<400)\n {\n v[v.length]=mouseX;\n drawBlueArea();\n calcRealVariance();\n drawPopulation();\n drawRealMean();\n drawRealSD();\n draw1Graph(SDGraph);\n cumulativeVarianceSum=0;\n nbrSamplesGenerated=0;\n if(v.length>=5 && sampleGeneratedOnce===0){\n fill(255, 255, 255);\n noStroke();\n rect(0,0,400,99);\n fill(13, 168, 44);\n textSize(14);\n text('Choose a sample size, then generate',2,30);\n text('a randomly selected sample.',2,45);\n fill(204, 54, 0);\n text('Items belonging to the sample turn',2,65);\n text('red.',2,80);\n SampleText();\n nText();\n }\n }\n/*************************\nif mouse is in the 'smaller\nsample' box\n**************************/\nelse if (mouseY>60 && mouseY<97 && mouseX>314 && mouseX<390 && n>2 && v.length>=5)\n {\n holdText();\n n=n-1;\n nText();\n cumulativeVarianceSum=0;\n nbrSamplesGenerated=0;\n showNbrsamplesGenerated();\n }\n \n/*************************\nif mouse is in the 'bigger\nsample' box\n**************************/\nelse if (mouseY>3 && mouseY<40 && mouseX>314 && mouseX<390 && n=5)\n {\n holdText();\n n=n+1;\n nText();\n cumulativeVarianceSum=0;\n nbrSamplesGenerated=0;\n showNbrsamplesGenerated();\n }\n/*************************\nif mouse is in the 'generate\nsample' box\n**************************/\nelse if (mouseY>60 && mouseY<97 && mouseX>234 && mouseX<310 && v.length>=5)\n {\n if(n<=v.length)\n {\n sampleGeneratedOnce=1;\n holdText();\n drawBlueArea();\n drawPopulation();\n generateSample();\n drawSample();\n calcRealVariance();\n drawRealMean();\n drawRealSD();\n calcSampleVarianceSum();\n drawSampleMean();\n drawSampleSD();\n drawGraph(SDGraph);\n showNbrsamplesGenerated();\n }\n else\n {\nfill(255, 255, 255);\n noStroke();\n rect(0,130, 400, 30);\n stroke(0, 0, 0);\n fill(13, 200, 44);\n text('Sample size is larger than population size.',10,155);\n }\n}\n\n/*************************\nif mouse is on the abscissa\n**************************/\nelse if (mouseY>SDGraph.yPosition-10 && mouseYSDGraph.xPosition && mouseX=5)\n {\n a=decimalRound(((mouseX-SDGraph.xPosition)*(SDGraph.xMax-SDGraph.xMin)/SDGraph.large)+SDGraph.xMin,2);\n drawBlueArea();\n drawPopulation();\n drawSample();\n drawRealMean();\n drawRealSD();\n drawSampleMean();\n drawSampleSD();\n drawGraph(SDGraph);\n showNbrsamplesGenerated();\n }\n};\n\n/*************************\n EXECUTION CODE\n**************************/\n\nfill(79, 90, 245);\ntextSize(15);\ntext('Build a population by clicking in the blue area.',2,35);\ntext('The value of an item is its distance from the left.',2,50);\n\nfill(245, 204, 81);\ntextSize(13);\ntext('Press a key for a single shot at clicking.',2,70);\n\nline(0, 100, 400, 100);\ndrawBlueArea();\n\n/*************************\nWhat happens on a click\n**************************/\nvar draw = function()\n{\n if(mouseIsPressed && !keyIsPressed)\n {\n mainProgram();\n }\n};\n\nvar mousePressed = function()\n{\n if(keyIsPressed)\n {\n mainProgram();\n }\n\n};\n\n\n\n//casse d\u00e9di pour alex !", - "created": "2012-12-13T03:12:08Z", - "recording": {}, - "id": 1001, - "audio_id": 0 - } - }, - { - "related_video_readable_ids": [ - "statistics--variance-of-a-population", - "statistics--sample-variance" - ], - "path": "/math/statistics/e/variance/", - "title": "Variance", - "live": true, - "description": null, - "display_name": "Variance", - "slug": "variance", - "kind": "Exercise", - "name": "variance", - "prerequisites": [ - "mean_median_and_mode" - ], - "seconds_per_fast_problem": 54.0 - }, - { - "kind": "Video", - "description": "Review of what we've learned. 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Boo cold.\n\nhttp://en.wikipedia.org/wiki/Ulam_spiral\n\nDoodling in Math Class videos: http://vihart.com/doodling", - "keywords": "math, numbers, doodling, ulam, spiral, pascal, triangle, math class", - "related_exercise": null, - "youtube_id": "Yhlv5Aeuo_k", - "duration": 328, - "title": "Doodling in Math: Sick Number Games", - "path": "/math/vi-hart/v/doodling-in-math--sick-number-games/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yhlv5Aeuo_k.mp4/Yhlv5Aeuo_k.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/Yhlv5Aeuo_k.mp4/Yhlv5Aeuo_k.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Yhlv5Aeuo_k.m3u8/Yhlv5Aeuo_k.m3u8" - }, - "slug": "doodling-in-math--sick-number-games", - "readable_id": "doodling-in-math--sick-number-games" - }, - { - "kind": "Video", - "description": "How to draw squiggles like a Hilbert.", - "keywords": "squiggle, inception, doodling, math, mathematics, hilbert, curve, doodle, fractal, space-filling curve, vi hart", - "related_exercise": null, - "youtube_id": "ik2CZqsAw28", - "duration": 326, - "title": "Doodling in Math Class: Squiggle Inception", - "path": "/math/vi-hart/v/doodling-in-math-class--squiggle-inception/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ik2CZqsAw28.mp4/ik2CZqsAw28.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/ik2CZqsAw28.mp4/ik2CZqsAw28.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ik2CZqsAw28.m3u8/ik2CZqsAw28.m3u8" - }, - "slug": "doodling-in-math-class--squiggle-inception", - "readable_id": "doodling-in-math-class--squiggle-inception" - }, - { - "kind": "Video", - "description": "Triangles!", - "keywords": "doodling, mathematics, fractals, math, triangles, trigonometry, koch, vi hart, doodle, geometry, Triangle", - "related_exercise": null, - "youtube_id": "o6KlpIWhbcw", - "duration": 265, - "title": "Doodling in Math Class: Triangle Party", - "path": "/math/vi-hart/v/doodling-in-math-class--triangle-party/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/o6KlpIWhbcw.mp4/o6KlpIWhbcw.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/o6KlpIWhbcw.mp4/o6KlpIWhbcw.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o6KlpIWhbcw.m3u8/o6KlpIWhbcw.m3u8" - }, - "slug": "doodling-in-math-class--triangle-party", - "readable_id": "doodling-in-math-class--triangle-party" - }, - { - "kind": "Video", - "description": "A cautionary tale. Other Mobius videos:Candy Buttons http://www.youtube.com/watch?v=OOLIB3cjFqwM\u00f6bius Music Box http://www.youtube.com/watch?v=3iMI_uOM_fYWikipedia links:http://en.wikipedia.org/wiki/M%C3%B6bius_striphttp://en.wikipedia.org/wiki/FlatlandThis is the book you should get if you want to know all things M\u00f6bius: http://www.amazon.com/dp/1560259523?tag=vihartcom-20This story was inspired by the novel Flatland: http://www.amazon.com/dp/019953750X?tag=vihartcom-20There's a pretty cool movie version: http://www.amazon.com/dp/1604615370?tag=vihartcom-20Me: http://vihart.com", - "keywords": "mathematics, math, mobius strip, m\u00f6bius, topology, flatland, vihart, vi hart, triangles, ambigrams", - "related_exercise": null, - "youtube_id": "4mdEsouIXGM", - "duration": 435, - "title": "Mobius Story: Wind and Mr. Ug", - "path": "/math/vi-hart/v/m-bius-story--wind-and-mr--ug/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4mdEsouIXGM.mp4/4mdEsouIXGM.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/4mdEsouIXGM.mp4/4mdEsouIXGM.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4mdEsouIXGM.m3u8/4mdEsouIXGM.m3u8" - }, - "slug": "m-bius-story--wind-and-mr--ug", - "readable_id": "m-bius-story--wind-and-mr--ug" - }, - { - "kind": "Video", - "description": "Playing mathematically with fruits by the foot.\nMobius Story, Wind and Mr. Ug: http://www.youtube.com/watch?v=4mdEsouIXGM\nMobius Candy buttons: http://www.youtube.com/watch?v=OOLIB3cjFqw\nMobius Music box: http://www.youtube.com/watch?v=3iMI_uOM_fY\n\nDoodling Snakes + Graphs (Useful for drawing Borromean rings): http://youtu.be/heKK95DAKms", - "keywords": "mathematics, mobius strip, frieze pattern, borromean rings, symmetry, fruit by the foot", - "related_exercise": null, - "youtube_id": "Am-a5x9DGjg", - "duration": 292, - "title": "Math Improv: Fruit by the Foot", - "path": "/math/vi-hart/v/math-improv--fruit-by-the-foot/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Am-a5x9DGjg.mp4/Am-a5x9DGjg.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/Am-a5x9DGjg.mp4/Am-a5x9DGjg.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Am-a5x9DGjg.m3u8/Am-a5x9DGjg.m3u8" - }, - "slug": "math-improv--fruit-by-the-foot", - "readable_id": "math-improv--fruit-by-the-foot" - }, - { - "kind": "Video", - "description": "What other amazing properties of Wau can you think of? Leave them in the comments.", - "keywords": "wau", - "related_exercise": null, - "youtube_id": "GFLkou8NvJo", - "duration": 319, - "title": "Wau: The Most Amazing, Ancient, and Singular Number", - "path": "/math/vi-hart/v/wau--the-most-amazing--ancient--and-singular-number/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GFLkou8NvJo.mp4/GFLkou8NvJo.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/GFLkou8NvJo.mp4/GFLkou8NvJo.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GFLkou8NvJo.m3u8/GFLkou8NvJo.m3u8" - }, - "slug": "wau--the-most-amazing--ancient--and-singular-number", - "readable_id": "wau--the-most-amazing--ancient--and-singular-number" - }, - { - "kind": "Video", - "description": "Happy Pi Day! Also see: Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ\nPi in Binary Hand Dance: http://youtu.be/OCYZTg3jahU\nSpecial thanks to Toby (or not Toby) for playing Dog Hamlet.\n\nThis cool website lets you search the first 200,000,000 digits of Pi. See if your phone number or encoded name is in there! http://www.angio.net/pi/piquery\n\nSeven Sonnets:\n\nAre Shakespeare's plays encoded within Pi? \nThe truth is: we don't know, but we suspect\nThey're somewhere in those digits. And now I\nWill show why we don't know if we're correct.\n\nYou see, we think the digits do behave\nAs if they were a random sequence, and\nSo many mathematicians tried to brave\nThis question, but we still don't understand.\n\nPi isn't random: each digit must be\nExactly what the definition states.\nIt's pseudo-random, far as we can see,\nBut it's the subject of intense debates.\n\nNow I'll explain, with this parameter:\nIt's all in iambic pentameter.\n\nYou may have heard of this scenario:\nA thousand monkeys type at keyboards 'till\nThey write the works of Shakespeare. Even though,\nIn one life it's a task they can't fulfill.\n\nIf you allow their kids to carry on,\nAll through the generations working hard,\nThey will evolve before they come upon\nA single sonnet written by the Bard.\n\nBut still, the theory's sound! And it is true\nThat with a random and infinite set\nOf letters, that eventu-ally you\nWill find whatever words you want to get.\n\nHowever, on this thing you can depend:\nBefore you do, the universe will end.\n\n\nPi is a number, and that's why I can\nCompletely guarantee no part will be\n9-1-3-7-5-2-2-8-ten\n4-7-9-H-A-M-L-E-T.\n\nYou'd have to make up something, like a code\nWhere zero-one is A, Oh-three is C,\nOr you could also choose some other mode,\nOh-2 could be \"to be or not to be.\"\n\nBut let's go with this system, where a Y\nIs 2-5, O's one five, and R's eighteen,\nAnd next comes zero 9 which is an I,\nOh-three, eleven. Yorick's name is seen!\n\nDoes Pi say anything? How does it go?\n1-4-1-5. I guess the answer's \"no.\"\n\n\nIf you desire to search Pi for a thing\nLike Hamlet, as if you'd 'discover' it,\nWithout a copy used for referencing,\nYou wouldn't know if you'd recovered it.\n\nIn fact, it's almost certain, so beware:\nBefore you get to Hamlet, if you slog\nThrough all the digits, you'll find versions where\nThere's just one thing changed: Hamlet is a dog.\n\nDog Hamlet is so awesome and he goes\nOn infinitely many adventures.\nIn this infinite space everyone knows\nDog Hamlet's king. Sometimes he has dentures.\n\nUnless Pi isn't normal. I'll admit:\nPi might not have a single Dog Hamlet.\n\n\nA normal number is a number where,\nIf you take any pattern of length Z\nYou'll definitely find the pattern there,\nAnd others that length, with' same frequency.\n\nLength 1 would just be every digit, so\nAll digits happen infinity times.\nAnd all two-digit numbers also go\nIn there somewhere. If you list all the primes,\n\nYou get the Copeland-Erdos constant, which\nIs one of few known normal numbers. Or\nTake every number in order and stitch\nThem all together. And we know there's more.\n\nMost numbers must be of the normal kind,\nBut somehow they are hard for us to find.\n\n\nWe think that Pi is normal. Also e\nAnd square root 2 and other stuff like that.\nWe don't know how to prove that they must be,\nThat Pi contains Macbeth where he's a cat.\n\nIf you've got every combination of\nDigits of every length, that will include\nA Romeo and Juliet in love\nWho meet in time and live and end the feud.\n\nAnd since the strings of numbers must occur\nWith equal frequency to other strings\nOf the same length, it don't matter whether\nYou choose this code or other permutings.\n\nPerhaps somewhere Dog Hamlet and Catbeth\nAre chillin', bustin' ghosts, avoiding death.\n\n\nThere's simple open problems about pi,\nLike whether every digit, oh through nine,\nKeeps happening. We can't figure out why\n6 shouldn't stop appearing, down the line.\n\nIt seems ridiculous, to think that 2\nOccurs finitely many times. I fear,\nThat without proof, we can't say it's not true.\nAlas, poor Yorick may never appear.\n\nBut the exciting thing is that I think\nThese problems will be solved before too long.\nAnd then this video will really stink\nBecause all this not-knowing will be wrong.\n\nDon't worry; I look forward to its fall.\n'Till then, a happy Pi Day to you all.", - "keywords": "pi, pi day, shakespeare, sonnets, mathematics, normal numbers", - "related_exercise": null, - "youtube_id": "uXoh6vi6J5U", - "duration": 226, - "title": "Are Shakespeare's Plays Encoded within Pi?", - "path": "/math/vi-hart/v/are-shakespeare-s-plays-encoded-within-pi/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/uXoh6vi6J5U.mp4/uXoh6vi6J5U.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/uXoh6vi6J5U.mp4/uXoh6vi6J5U.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uXoh6vi6J5U.m3u8/uXoh6vi6J5U.m3u8" - }, - "slug": "are-shakespeare-s-plays-encoded-within-pi", - "readable_id": "are-shakespeare-s-plays-encoded-within-pi" - }, - { - "kind": "Video", - "description": "Accuracy not guaranteed. Get Audacity and play! http://audacity.sourceforge.net/\n\nCorrection: it is the \"Basilar\" membrane, which is what I say, but somehow between recording the script and actually drawing the stuff I got confused and thought I just pronounced my Vs poorly. Always sad to have such a simple and glaring error in something I put hundreds of hours of work into, but a \"Vasilar\" membrane can be the kind that a Vi draws to explain Viola Vibrations, I guess! Making up new words is just so prolightfully awstastic.\n\nProps to my Bro for excellent and creative swing pushing, and to my Mamma for filming it.\n\nExtra special thanks to my generous donators, without whom I would not have been able to create this video. Because of your support, I have the equipment, time, and take-out Thai food necessary for doing stuff like this.", - "keywords": "science, mathematics, sound, pitch, frequency, audio, ears, sound wave, music", - "related_exercise": null, - "youtube_id": "i_0DXxNeaQ0", - "duration": 769, - "title": "What is up with Noises? (The Science and Mathematics of Sound, Frequency, and Pitch)", - "path": "/math/vi-hart/v/what-is-up-with-noises---the-science-and-mathematics-of-sound--frequency--and-pitch/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/i_0DXxNeaQ0.mp4/i_0DXxNeaQ0.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/i_0DXxNeaQ0.mp4/i_0DXxNeaQ0.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i_0DXxNeaQ0.m3u8/i_0DXxNeaQ0.m3u8" - }, - "slug": "what-is-up-with-noises---the-science-and-mathematics-of-sound--frequency--and-pitch", - "readable_id": "what-is-up-with-noises---the-science-and-mathematics-of-sound--frequency--and-pitch" - }, - { - "kind": "Video", - "description": "SpongeBob background designer's response: \"OK, I guess the jig is up... I'm tired of living a lie.\" See his full message and pineapple redesign: http://kennypittenger.blogspot.com/2012/01/called-out.html\n\nP.S. http://youtu.be/sFTwc8kHSu4\nFor more on Fibonacci and Plants: http://youtu.be/ahXIMUkSXX0\nFor more snail: http://youtu.be/xbsAUq_nvxE", - "keywords": "spongebob, pineapple, nickelodeon, snail, squarepants, math, mathematics, fibonacci", - "related_exercise": null, - "youtube_id": "gBxeju8dMho", - "duration": 118, - "title": "Open Letter to Nickelodeon, Re: SpongeBob's Pineapple under the Sea", - "path": "/math/vi-hart/v/open-letter-to-nickelodeon--re--spongebob-s-pineapple-under-the-sea/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gBxeju8dMho.mp4/gBxeju8dMho.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/gBxeju8dMho.mp4/gBxeju8dMho.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gBxeju8dMho.m3u8/gBxeju8dMho.m3u8" - }, - "slug": "open-letter-to-nickelodeon--re--spongebob-s-pineapple-under-the-sea", - "readable_id": "open-letter-to-nickelodeon--re--spongebob-s-pineapple-under-the-sea" - }, - { - "kind": "Video", - "description": "Snakes!\n\nSnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakes.\n\nme: vihart.com\n\nYou can get a box here:\nhttp://www.amazon.com/dp/B003I6USDW?tag=vihartcom-20", - "keywords": "snakes, math, fractal, mathematics, hydra, peano curve, pi", - "related_exercise": null, - "youtube_id": "Gx5D09s5X6U", - "duration": 130, - "title": "How To Snakes", - "path": "/math/vi-hart/v/how-to-snakes/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Gx5D09s5X6U.mp4/Gx5D09s5X6U.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/Gx5D09s5X6U.mp4/Gx5D09s5X6U.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Gx5D09s5X6U.m3u8/Gx5D09s5X6U.m3u8" - }, - "slug": "how-to-snakes", - "readable_id": "how-to-snakes" - }, - { - "kind": "Video", - "description": "Leave your homework in the comments. Extra points for clarity and conciseness!\n\nSpecial thanks to my peeps at NYU where the idea for this video popped up during discussion.", - "keywords": "pythagorean theorem, geometry, mathematics, trigonometry, origami, paper folding, proof", - "related_exercise": null, - "youtube_id": "z6lL83wl31E", - "duration": 194, - "title": "Origami Proof of the Pythagorean Theorem", - "path": "/math/vi-hart/v/origami-proof-of-the-pythagorean-theorem/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/z6lL83wl31E.mp4/z6lL83wl31E.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/z6lL83wl31E.mp4/z6lL83wl31E.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z6lL83wl31E.m3u8/z6lL83wl31E.m3u8" - }, - "slug": "origami-proof-of-the-pythagorean-theorem", - "readable_id": "origami-proof-of-the-pythagorean-theorem" - }, - { - "kind": "Video", - "description": "Point Nine Repeating Equals One!\n9.999... reasons in 9.999... minutes.\n\nBonus points if you can name all 9.999... lords a-leaping.\n\nDear YouTube, wouldn't it be nice if I could include the full script with this video? A larger character limit would not be unreasonable.", - "keywords": "mathematics, numbers, repeating decimals, real numbers, surreal numbers, hyperreal numbers", - "related_exercise": null, - "youtube_id": "TINfzxSnnIE", - "duration": 601, - "title": "9.999... reasons that .999... = 1", - "path": "/math/vi-hart/v/9-999----reasons-that--999------1/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TINfzxSnnIE.mp4/TINfzxSnnIE.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/TINfzxSnnIE.mp4/TINfzxSnnIE.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TINfzxSnnIE.m3u8/TINfzxSnnIE.m3u8" - }, - "slug": "9-999----reasons-that--999------1", - "readable_id": "9-999----reasons-that--999------1" - }, - { - "kind": "Video", - "description": "Please excuse the simple math and spelling errors. You shouldn't believe anything I say without double-checking even at the best of times.\n\nGo here: http://tauday.com/\nand here: http://www.math.utah.edu/~palais/pi.html\n\nMe: http://vihart.com", - "keywords": "pi, tau, pie, pi day, trigonometry, trig, math, mathematics, Magritte, charlie sheen", - "related_exercise": null, - "youtube_id": "jG7vhMMXagQ", - "duration": 317, - "title": "Pi Is (still) Wrong.", - "path": "/math/vi-hart/v/pi-is--still--wrong/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jG7vhMMXagQ.mp4/jG7vhMMXagQ.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/jG7vhMMXagQ.mp4/jG7vhMMXagQ.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jG7vhMMXagQ.m3u8/jG7vhMMXagQ.m3u8" - }, - "slug": "pi-is--still--wrong", - "readable_id": "pi-is--still--wrong" - }, - { - "kind": "Video", - "description": "How to make snazzy-lookin' fractal equations using simple algebra.\n\nFor more abacabadabacaba: http://www.abacaba.org/\nand http://books.google.com/books?id=QpPlxwSa8akC&pg=PA60&lpg=PA60&dq=abacabadabacaba+%22martin+gardner%22&source=bl&ots=92eAyvrZGV&sig=J2uvF2DAyn9kY8nSarSy-XIXW74&hl=en&sa=X&ei=Np45T4K9GYixiQK92NG2Bg&ved=0CCEQ6AEwAA#v=onepage&q&f=false", - "keywords": "fractal, fractions, infinity, mathematics, math, algebra", - "related_exercise": null, - "youtube_id": "a5z-OEIfw3s", - "duration": 345, - "title": "Fractal Fractions", - "path": "/math/vi-hart/v/fractal-fractions/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/a5z-OEIfw3s.mp4/a5z-OEIfw3s.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/a5z-OEIfw3s.mp4/a5z-OEIfw3s.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a5z-OEIfw3s.m3u8/a5z-OEIfw3s.m3u8" - }, - "slug": "fractal-fractions", - "readable_id": "fractal-fractions" - }, - { - "kind": "Video", - "description": "This is a follow-up from Being a Plant part 2 ( http://youtu.be/lOIP_Z_-0Hs )", - "keywords": "angle, a, trons", - "related_exercise": null, - "youtube_id": "o6W6P8JZW0o", - "duration": 124, - "title": "Angle-a-trons", - "path": "/math/vi-hart/v/angle-a-trons/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/o6W6P8JZW0o.mp4/o6W6P8JZW0o.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/o6W6P8JZW0o.mp4/o6W6P8JZW0o.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o6W6P8JZW0o.m3u8/o6W6P8JZW0o.m3u8" - }, - "slug": "angle-a-trons", - "readable_id": "angle-a-trons" - }, - { - "kind": "Video", - "description": "Thanks to my bro for the music! 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Next hexaflexagon video in one week. Happy October!More info coming soon.", - "keywords": "", - "related_exercise": null, - "youtube_id": "VIVIegSt81k", - "duration": 248, - "title": "Hexaflexagons", - "path": "/math/vi-hart/v/hexaflexagons/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VIVIegSt81k.mp4/VIVIegSt81k.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/VIVIegSt81k.mp4/VIVIegSt81k.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VIVIegSt81k.m3u8/VIVIegSt81k.m3u8" - }, - "slug": "hexaflexagons", - "readable_id": "hexaflexagons" - }, - { - "kind": "Video", - "description": "This video is based on, and in honor of, Martin Gardner's column from 1956, \"Hexaflexagons,\" which can be found here: http://maa.org/pubs/focus/Gardner_Hexaflexagons12_1956.pdf. 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The first two are also awesome.Hexaflexagons: http://youtu.be/VIVIegSt81k Hexaflexagons 2: http://youtu.be/paQ10POrZh8To learn more about flexagons, Martin Gardner, or hosting a hexaflexagon party, go here: http://www.puzzles.com/hexaflexagonI stole the \"hexaflexadyslexia\" joke from @matthetube: https://twitter.com/matthetube/status/255446894128529408I'm @vihartvihart. Happy Flexing!", - "keywords": "", - "related_exercise": null, - "youtube_id": "AmN0YyaTD60", - "duration": 249, - "title": "Hexaflexagon Safety Guide", - "path": "/math/vi-hart/v/hexaflexagon-safety-guide/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AmN0YyaTD60.mp4/AmN0YyaTD60.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/AmN0YyaTD60.mp4/AmN0YyaTD60.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AmN0YyaTD60.m3u8/AmN0YyaTD60.m3u8" - }, - "slug": "hexaflexagon-safety-guide", - "readable_id": "hexaflexagon-safety-guide" - }, - { - "kind": "Video", - "description": "Might as well.", - "keywords": "marquee", - "related_exercise": null, - "youtube_id": "GTwrVAbV56o", - "duration": 165, - "title": "Flex Mex", - "path": "/math/vi-hart/v/flex-mex/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GTwrVAbV56o.mp4/GTwrVAbV56o.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/GTwrVAbV56o.mp4/GTwrVAbV56o.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GTwrVAbV56o.m3u8/GTwrVAbV56o.m3u8" - }, - "slug": "flex-mex", - "readable_id": "flex-mex" - }, - { - "kind": "Video", - "description": "With Thanksgiving just around the corner here in the US, it is important to know how to arrange mathed potatoes on your plate for maximum gravy. Also shown are bread spheres, butter prism, and gelatinous cranberry cylinder. \n\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", - "keywords": "", - "related_exercise": null, - "youtube_id": "F5RyVWI4Onk", - "duration": 157, - "title": "Optimal Potatoes", - "path": "/math/vi-hart/v/optimal-potatoes/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/F5RyVWI4Onk.mp4/F5RyVWI4Onk.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/F5RyVWI4Onk.mp4/F5RyVWI4Onk.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F5RyVWI4Onk.m3u8/F5RyVWI4Onk.m3u8" - }, - "slug": "optimal-potatoes", - "readable_id": "optimal-potatoes" - }, - { - "kind": "Video", - "description": "This Thanksgiving, make sure your table isn't missing the all-important green bean matherole. 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Also shown are gelatinous cranberry cylinder, bread spheres and butter prism, mathed potatoes, apple pie, and pumpkin tau.\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", - "keywords": "", - "related_exercise": null, - "youtube_id": "4tsjCND2ZfM", - "duration": 132, - "title": "Borromean Onion Rings", - "path": "/math/vi-hart/v/borromean-onion-rings/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4tsjCND2ZfM.mp4/4tsjCND2ZfM.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/4tsjCND2ZfM.mp4/4tsjCND2ZfM.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4tsjCND2ZfM.m3u8/4tsjCND2ZfM.m3u8" - }, - "slug": "borromean-onion-rings", - "readable_id": "borromean-onion-rings" - }, - { - "kind": "Video", - "description": "Forget turducken... I'm stuffing my turkey with two ducks, stuffed with four hens, stuffed with eight quail eggs. 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This video also shows how to route the wires.", - "keywords": "motors, wiring, Bit-zee, hair dryer", - "related_exercise": null, - "youtube_id": "iU1oIFPM1-I", - "duration": 369, - "title": "12. Bit-zee's motors", - "path": "/science/projects/Bit-zee/v/wiring---installing-bit-zee-s-motors/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/iU1oIFPM1-I.mp4/iU1oIFPM1-I.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/iU1oIFPM1-I.mp4/iU1oIFPM1-I.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iU1oIFPM1-I.m3u8/iU1oIFPM1-I.m3u8" - }, - "slug": "wiring---installing-bit-zee-s-motors", - "readable_id": "wiring---installing-bit-zee-s-motors" - }, - { - "kind": "Video", - "description": "This video outlines in simple terms why a motor controller is needed and what it does", - "keywords": "Motor controller, Bit-zee, motor driver, L298", - "related_exercise": null, - "youtube_id": "7CqigPmXyv8", - "duration": 329, - "title": "13. 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We'd consider this tutorial very optional, but it is a good application of dealing with medians and ranges.", + "topic_page_url": "/math/probability/descriptive-statistics/Box-and-whisker plots", + "extended_slug": "math/probability/descriptive-statistics/Box-and-whisker plots", + "slug": "Box-and-whisker plots", + "kind": "Topic" + }, + { + "path": "/math/probability/descriptive-statistics/variance_std_deviation/", + "children": [ + { + "kind": "Video", + "description": "Variance as a measure of, on average, how far the data points in a population are from the population mean", + "keywords": "variance, standard deviation, population, mean, parameter", + "related_exercise": null, + "youtube_id": "dvoHB9djouc", + "duration": 485, + "title": "Variance of a population", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/v/variance-of-a-population/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dvoHB9djouc.mp4/dvoHB9djouc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/dvoHB9djouc.mp4/dvoHB9djouc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dvoHB9djouc.m3u8/dvoHB9djouc.m3u8" + }, + "slug": "variance-of-a-population", + "readable_id": "variance-of-a-population" + }, + { + "kind": "Video", + "description": "Thinking about how we can estimate the variance of a population by looking at the data in a sample.", + "keywords": "sample variance, unbiased estimator, statistics", + "related_exercise": null, + "youtube_id": "iHXdzfF7UEs", + "duration": 638, + "title": "Sample variance", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/v/sample-variance/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/iHXdzfF7UEs.mp4/iHXdzfF7UEs.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/iHXdzfF7UEs.mp4/iHXdzfF7UEs.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/iHXdzfF7UEs.m3u8/iHXdzfF7UEs.m3u8" + }, + "slug": "sample-variance", + "readable_id": "sample-variance" + }, + { + "kind": "Video", + "description": "Reviewing the population mean, sample mean, population variance, sample variance and building an intuition for why we divide by n-1 for the unbiased sample variance", + "keywords": "intuition, unbiased estimator, sample variance, statistics", + "related_exercise": null, + "youtube_id": "KkaU2ur3Ymw", + "duration": 584, + "title": "Review and intuition why we divide by n-1 for the unbiased sample variance", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/v/review-and-intuition-why-we-divide-by-n-1-for-the-unbiased-sample-variance/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/KkaU2ur3Ymw.mp4/KkaU2ur3Ymw.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/KkaU2ur3Ymw.mp4/KkaU2ur3Ymw.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/KkaU2ur3Ymw.m3u8/KkaU2ur3Ymw.m3u8" + }, + "slug": "review-and-intuition-why-we-divide-by-n-1-for-the-unbiased-sample-variance", + "readable_id": "review-and-intuition-why-we-divide-by-n-1-for-the-unbiased-sample-variance" + }, + { + "kind": "Video", + "description": "Simulation by Peter Collingridge giving us a better understanding of why we divide by (n-1) when calculating the unbiased sample variance. Simulation available at: http://www.khanacademy.org/cs/challenge-unbiased-estimate-of-population-variance/1169428428", + "keywords": "sample variance biased unbiased", + "related_exercise": null, + "youtube_id": "Cn0skMJ2F3c", + "duration": 384, + "title": "Simulation showing bias in sample variance", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/v/simulation-showing-bias-in-sample-variance/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Cn0skMJ2F3c.mp4/Cn0skMJ2F3c.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Cn0skMJ2F3c.mp4/Cn0skMJ2F3c.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Cn0skMJ2F3c.m3u8/Cn0skMJ2F3c.m3u8" + }, + "slug": "simulation-showing-bias-in-sample-variance", + "readable_id": "simulation-showing-bias-in-sample-variance" + }, + { + "category": "documentation", + "next_steps": "", + "kind": "Scratchpad", + "user_id": "http://googleid.khanacademy.org/115490664697321480434", + "description": "", + "modified_datetime": "2012-12-13T03:11:20Z", + "tags": [], + "origin_scratchpad_id": 1169428428, + "relative_url": "/cs/unbiased-estimate-of-population-variance/1223184464", + "trusted_revision": null, + "sort_index": null, + "origin_revision_id": 25001, + "difficulty": -1, + "url": "http://www.khanacademy.org/cs/unbiased-estimate-of-population-variance/1223184464", + "youtube_id": "", + "id": 1223184464, + "title": "Unbiased estimate of population variance", + "is_published": true, + "type": "scratchpad", + "slug": "unbiased-estimate-of-population-variance", + "revision": { + "config_version": 3, + "kind": "ScratchpadRevision", + "code": "/************************************************************\n * This program generates a population of random variables.\n * The top graph is the distribution of the population.\n * \n * Click on the lower graphs to enlarge them.\n * Click again to return to the normal view.\n * If multiple dashed lines appear click anywhere.\n * \n * The program continually samples the population with a \n * sample size between 2 and 10.\n * The second graph shows sample mean vs. sample variance.\n * It shows that sample means further from the population mean\n * tend to have a smaller variance.\n * These samples tend to be smaller samples (more red).\n * \n * The third graph shows sample variance as a function of\n * sample size. Sample variance is plotted as a percentage \n * of population variance.\n * \n * The variance of a sample of size 2 approaches 1/2 the \n * population variance.\n * The variance of a sample of size 3 approaches 2/3 the \n * population variance.\n * The variance of a sample of size 4 approaches 3/4 the \n * population variance.\n * And so on\n * \n * In summary, small samples are more likely to have a mean\n * that is far from the population mean. Samples with a mean\n * far from the population mean are more likely to have a low\n * variance.\n*************************************************************/\n\nframeRate(30);\n\n// Population variables\nvar popMin = 1;\nvar popMax = 20;\nvar freqMax = 50;\n\n// Sample variables\nvar sampleSizeMin = 2; // Makes no sense to be <2\nvar sampleSizeMax = 10;\nvar sampleCount = 0;\n\n// Display variables\nvar titleFont = createFont(\"Times\", 16);\nvar labelFont = createFont(\"Arial\", 10);\nvar scatterSize = 3;\nvar dashSize = 4;\nvar backgroundColour = color(245, 245, 255);\n\n// Used to only refresh graphs when necessary\nvar refresh = true;\nvar mode = 'standard';\nvar modeSpeed = 50;\nvar modeN = modeSpeed;\n\n// Graph locations\nvar popGraph = { x: 15, y: 50,\n width: 369, height: 110,\n xMin: popMin, xMax: popMax,\n yMax: freqMax,\n xlabel: \"Value of random variable\",\n ylabel: \"Counts\",\n stroke: color(0, 150, 0),\n colour1: color(0, 150, 0, 80)\n};\n \nvar sampleGraph = { x: 218, y: 220,\n width: 167, height: 165,\n xMin: sampleSizeMin, xMax: sampleSizeMax,\n yMax: 100,\n xlabel: \"Sample size\",\n ylabel: \"Sample var / Pop. var (%)\",\n stroke: color(200, 200, 200),\n colour1: color(250, 0, 0, 160),\n colour2: color(0, 0, 250, 160)\n};\n\nvar scatterGraph = { x: 15, y: 220,\n width: 172, height: 165,\n xMin: popMin, xMax: popMax,\n yMax: (0.5*popMax) * (0.5*popMax),\n xlabel: \"Sample mean\",\n ylabel: \"Sample variance\",\n colour1: color(250, 0, 0, 120),\n colour2: color(0, 0, 250, 120)\n};\n \nvar borderBottom = 25;\nvar borderLeft = 25; \n\n// How many samples of each size have we taken\nvar sampleSizeCount = [];\n// Total variance of samples for each sample size;\nvar sampleSizeVar = [];\n// Variance of samples relative to population variance for each sample size;\nvar sampleSizeVarPercent = [];\n// List of sample, sizes, means and variances\nvar sampleStats = [];\n\nfor (var i=sampleSizeMin; i<=sampleSizeMax; i++) {\n sampleSizeCount.push(0);\n sampleSizeVar.push(0);\n sampleSizeVarPercent.push(0);\n}\n\npopGraph.midX = popGraph.x + borderLeft + \n (popGraph.width - borderLeft) / 2;\nsampleGraph.midX = sampleGraph.x + borderLeft + \n (sampleGraph.width - borderLeft) / 2;\nscatterGraph.midX = scatterGraph.x + borderLeft + \n (scatterGraph.width - borderLeft) / 2;\n\nvar newPopulation = function() {\n refresh = true;\n sampleCount = 0;\n};\n\n// Create a random distribution for N values\nvar createRandomPopulation = function(N) {\n newPopulation();\n var population = [];\n for (var i=0; i scatterGraph.x &&\n mouseX < scatterGraph.x + scatterGraph.width &&\n mouseY > scatterGraph.y) {\n mode = \"scatter\";\n modeN = 0;\n }\n else if (mouseX > sampleGraph.x &&\n mouseX < sampleGraph.x + scatterGraph.width &&\n mouseY > sampleGraph.y) {\n mode = \"sample-size\";\n modeN = 0;\n }\n }\n refresh = true;\n};\n\n// By Peter Collingridge", + "created": "2012-12-13T03:11:20Z", + "recording": {}, + "id": 1001, + "audio_id": 0 + } + }, + { + "kind": "Video", + "description": "Another visualization providing evidence that dividing by n-1 truly gives an unbiased estimate of population variance. Simulation at: http://www.khanacademy.org/cs/unbiased-variance-visualization/1167453164", + "keywords": "", + "related_exercise": null, + "youtube_id": "F2mfEldxsPI", + "duration": 286, + "title": "Another simulation giving evidence that (n-1) gives us an unbiased estimate of variance", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/v/another-simulation-giving-evidence-that--n-1--gives-us-an-unbiased-estimate-of-variance/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/F2mfEldxsPI.mp4/F2mfEldxsPI.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/F2mfEldxsPI.mp4/F2mfEldxsPI.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F2mfEldxsPI.m3u8/F2mfEldxsPI.m3u8" + }, + "slug": "another-simulation-giving-evidence-that--n-1--gives-us-an-unbiased-estimate-of-variance", + "readable_id": "another-simulation-giving-evidence-that--n-1--gives-us-an-unbiased-estimate-of-variance" + }, + { + "kind": "Video", + "description": "Simulation by KA user tetef showing that dividing by (n-1) gives us an unbiased estimate of population variance. Simulation at: http://www.khanacademy.org/cs/will-it-converge-towards-1/1167579097", + "keywords": "sample variance, biased, unbiased", + "related_exercise": null, + "youtube_id": "0QS4VHPV4JA", + "duration": 270, + "title": "Simulation providing evidence that (n-1) gives us unbiased estimate", + "path": "/math/probability/descriptive-statistics/variance_std_deviation/v/simulation-providing-evidence-that--n-1--gives-us-unbiased-estimate/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/0QS4VHPV4JA.mp4/0QS4VHPV4JA.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/0QS4VHPV4JA.mp4/0QS4VHPV4JA.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/0QS4VHPV4JA.m3u8/0QS4VHPV4JA.m3u8" + }, + "slug": "simulation-providing-evidence-that--n-1--gives-us-unbiased-estimate", + "readable_id": "simulation-providing-evidence-that--n-1--gives-us-unbiased-estimate" + }, + { + "category": "documentation", + "next_steps": "", + "kind": "Scratchpad", + "user_id": "http://googleid.khanacademy.org/115490664697321480434", + "description": "", + "modified_datetime": "2012-12-13T03:12:08Z", + "tags": [], + "origin_scratchpad_id": 1167579097, + "relative_url": "/cs/will-it-converge-towards-1/1223034730", + "trusted_revision": null, + "sort_index": null, + "origin_revision_id": 78001, + "difficulty": -1, + "url": "http://www.khanacademy.org/cs/will-it-converge-towards-1/1223034730", + "youtube_id": "", + "id": 1223034730, + "title": "Will it converge towards -1?", + "is_published": true, + "type": "scratchpad", + "slug": "will-it-converge-towards-1", + "revision": { + "config_version": 3, + "kind": "ScratchpadRevision", + "code": "/***********************************************************\n WILL IT CONVERGE TOWARDS -1?\n\nBuild a population by clicking in the blue area.\nThe value of an item is its distance from the left. The population's variance appears on the graph.\n\nPress a key for single shot at clicking.\n \nChoose a sample size, then generate a randomly selected sample. The items of the sample turn red. (The population doesn't change).\n\n ------------------------------------------------\n | Variance = Sum((x[i]-mean(x))\u00b2)/(n+a) |\n ------------------------------------------------\n\nThe graph shows the variance versus the 'a' coefficient in the formula above for the sample shown and the average of all the samples that have been generated.\n\nThus if the best estimate of the variance is whith the coeficient a=-1, the value of 'a' for which the curve of the average of all the samples that have been generated crosses the population's variance should converge towards -1. This is because the more sample you average the more accurate you will be. Just hold the \"generate sample\" button until you see it converge.\n\nYou can also move the green dot along the abcissa to see how the calculation of the variance of the sample changes.\n***********************************************************/\n\n/*v : population vector*/\nvar v=[];\n/*indices : vector of indices (in v) of the sample*/\nvar indices=[];\nvar realVariance=0;\nvar realmean=0;\nvar varianceSum=0;\nvar samplemean=0;\nvar n=20;\nvar nbrSamplesGenerated=0;\nvar cumulativeVarianceSum=0;\nvar a=-1;\n\nvar sampleGeneratedOnce=0;\n\nvar blueArea = { offsetPosition : -140\n};\n\nvar SDGraph = { xPosition : 53, yPosition : 374,\n high : 125, large : 270,\n precision : 0.1,\n xMin : -3, xMax : 1,\n yMin : 0, yMax : 0,\n // Change these values for zoom-in vertically\n yBottom :0.7, yTop : 1.3\n};\n/*************************\n * FUNCTION\nSample variance\n**************************/\nvar calcSampleVarianceSum = function()\n{\n/**Calculate variance for sample**/\nvarianceSum=0;\nsamplemean=0;\nfor (var i = 0; i < indices.length; i+=1)\n{\n samplemean=samplemean+v[indices[i]];\n}\nsamplemean=samplemean/indices.length;\nfor (i = 0; i < indices.length; i+=1)\n{\nvarianceSum=varianceSum+pow((v[indices[i]]-samplemean),2);\n}\n//varianceSum is the variance*(n-a)\n//cumulativeVarianceSum is the sum of the variance*(n-a) over all the samples generated. It has to be divided by ((n-a*nbrSamplesGenerated) to give the mean of the variances over all the samples generated.\nnbrSamplesGenerated++;\ncumulativeVarianceSum=cumulativeVarianceSum+varianceSum;\n};\n\n/*************************\n * FUNCTION\nDecimal round\n**************************/\nvar decimalRound = function (value, decimals) {\n return round(value * pow(10, decimals)) / pow(10, decimals);\n};\n\n/*************************\n * FUNCTION\nDraw Graph with variance of\npopulation only\n**************************/\nvar draw1Graph = function(graph)\n{\n //Axis\n stroke(0, 0, 0);\n fill(0, 0, 0);\n strokeWeight(2);\n line(graph.xPosition,graph.yPosition,graph.xPosition+graph.large,graph.yPosition);\n line(graph.xPosition,graph.yPosition-1,graph.xPosition,graph.yPosition-graph.high);\n textSize(10);\n text(graph.xMin,graph.xPosition,graph.yPosition + 13);\n text(graph.xMax,graph.xPosition + graph.large,graph.yPosition + 13);\n text(decimalRound(sqrt(graph.yMin),2)+\"\u00b2\",graph.xPosition - 28,graph.yPosition);\n text(decimalRound(sqrt(graph.yMax),1)+\"\u00b2\",graph.xPosition - 28,graph.yPosition - graph.high + 4);\n text(\"'a' coefficient\",graph.xPosition + graph.large/2- 30,graph.yPosition + 23);\n rotate(-90);\n text(\"Variance\",-(graph.yPosition-40),graph.xPosition - 39);\n rotate(90);\n \n //Legend\n fill(255, 255, 255);\n stroke(0, 0, 0);\n strokeWeight(1);\n rect(330,250,65,100);\n fill(0, 0, 0);\n text(\"Legend\",330,247);\n stroke(2, 115, 171);\n fill(2, 115, 171);\n text(\"- Population\",332,262);\n text(\" variance\",332,277);\n\n //Population data\n stroke(2, 115, 171);\n fill(2, 115, 171);\n strokeWeight(1);\n var y1= graph.yPosition - ((realVariance)-graph.yMin)*graph.high/(graph.yMax-graph.yMin);\n if(y1>graph.yPosition-graph.high && y1(graph.yPosition-graph.high) && y2>(graph.yPosition-graph.high) && y1graph.yPosition){\n y1=graph.yPosition;\n }\n else {\n line(x1,y1,graph.xPosition,y1);\n text(decimalRound(sqrt(varianceSum/(indices.length + a)),1)+\"\u00b2\",graph.xPosition - 30,y1+5);\n }\n line(x1,y1,x1,graph.yPosition);\n text(\"\"+decimalRound(a,2),x1-10,graph.yPosition+13);\n strokeWeight(10);\n point(x1,graph.yPosition);\n \n //cumulative sample\n stroke(237, 0, 0);\n fill(237, 0, 0);\n y1=graph.yPosition - ((cumulativeVarianceSum/(nbrSamplesGenerated*(indices.length + graph.xMin)))-graph.yMin)*graph.high/(graph.yMax-graph.yMin);\n y2=0;\n strokeWeight(1);\n for (i=1;i<=nbPoints;i++)\n {\n y2 = graph.yPosition - ((cumulativeVarianceSum/(nbrSamplesGenerated*(indices.length + graph.xMin+i*graph.precision)))-graph.yMin)*graph.high/(graph.yMax-graph.yMin);\n x1 = graph.xPosition + (i-1)*graph.precision*graph.large/(graph.xMax-graph.xMin);\n x2 = graph.xPosition + (i)*graph.precision*graph.large/(graph.xMax-graph.xMin);\n if(y1>(graph.yPosition-graph.high) && y2>(graph.yPosition-graph.high) && y1graph.xPosition && x10 && SD<400){\n stroke(17, 219, 24);\n fill(17, 219, 24);\n textSize(14);\n \n text(\"Sample standard deviation : \"+decimalRound(SD,1),samplemean+SD-116,280+blueArea.offsetPosition);\n strokeWeight(2);\n line(samplemean+SD,285+blueArea.offsetPosition,samplemean+SD,333+blueArea.offsetPosition);\n line(samplemean-SD,301+blueArea.offsetPosition,samplemean-SD,333+blueArea.offsetPosition);\n strokeWeight(1);\n line(samplemean,290+blueArea.offsetPosition,samplemean+SD,290+blueArea.offsetPosition);\n line(samplemean+SD-4,286+blueArea.offsetPosition,samplemean+SD,290+blueArea.offsetPosition);\n line(samplemean+SD-4,294+blueArea.offsetPosition,samplemean+SD,290+blueArea.offsetPosition);\n line(samplemean+5,286+blueArea.offsetPosition,samplemean+1,290+blueArea.offsetPosition);\n line(samplemean+5,294+blueArea.offsetPosition,samplemean+1,290+blueArea.offsetPosition);\n }\n};\n\n/*************************\n * FUNCTION\nDraw population standard deviation\n**************************/\nvar drawRealSD = function()\n{\n /**Visualize standard deviation**/\n var realSD=sqrt(realVariance);\n fill(63, 18, 186); \n stroke(63, 18, 186);\n textSize(14);\n text('Population standard deviation : '+decimalRound(realSD,1),realmean+realSD/2 - 103,368+blueArea.offsetPosition);\n strokeWeight(2);\n line(realmean+realSD,301+blueArea.offsetPosition,realmean+realSD,350+blueArea.offsetPosition);\n line(realmean-realSD,301+blueArea.offsetPosition,realmean-realSD,333+blueArea.offsetPosition);\n strokeWeight(1);\n line(realmean,345+blueArea.offsetPosition,realmean+realSD,345+blueArea.offsetPosition);\n line(realmean+realSD-4,341+blueArea.offsetPosition,realmean+realSD,345+blueArea.offsetPosition);\n line(realmean+realSD-4,349+blueArea.offsetPosition,realmean+realSD,345+blueArea.offsetPosition);\n line(realmean+5,341+blueArea.offsetPosition,realmean+1,345+blueArea.offsetPosition);\n line(realmean+5,349+blueArea.offsetPosition,realmean+1,345+blueArea.offsetPosition);\n};\n\n/*************************\n * FUNCTION\ndraw population\n**************************/\nvar showNbrsamplesGenerated = function()\n{ \n noStroke();\n fill(255, 255, 255);\n rect(230,101,170,20);\n fill(0, 0, 0);\n textSize(14);\n text((['Samples generated :'].concat((nbrSamplesGenerated).toString())).join(\" \"),230,115);\n};\n\n/*************************\n * FUNCTION\ndraw population\n**************************/\nvar drawPopulation = function()\n{\n strokeWeight(1);\n stroke(255, 219, 38);\n for(var i=0; i300+blueArea.offsetPosition && mouseY<335+blueArea.offsetPosition && mouseX>0 && mouseX<400)\n {\n v[v.length]=mouseX;\n drawBlueArea();\n calcRealVariance();\n drawPopulation();\n drawRealMean();\n drawRealSD();\n draw1Graph(SDGraph);\n cumulativeVarianceSum=0;\n nbrSamplesGenerated=0;\n if(v.length>=5 && sampleGeneratedOnce===0){\n fill(255, 255, 255);\n noStroke();\n rect(0,0,400,99);\n fill(13, 168, 44);\n textSize(14);\n text('Choose a sample size, then generate',2,30);\n text('a randomly selected sample.',2,45);\n fill(204, 54, 0);\n text('Items belonging to the sample turn',2,65);\n text('red.',2,80);\n SampleText();\n nText();\n }\n }\n/*************************\nif mouse is in the 'smaller\nsample' box\n**************************/\nelse if (mouseY>60 && mouseY<97 && mouseX>314 && mouseX<390 && n>2 && v.length>=5)\n {\n holdText();\n n=n-1;\n nText();\n cumulativeVarianceSum=0;\n nbrSamplesGenerated=0;\n showNbrsamplesGenerated();\n }\n \n/*************************\nif mouse is in the 'bigger\nsample' box\n**************************/\nelse if (mouseY>3 && mouseY<40 && mouseX>314 && mouseX<390 && n=5)\n {\n holdText();\n n=n+1;\n nText();\n cumulativeVarianceSum=0;\n nbrSamplesGenerated=0;\n showNbrsamplesGenerated();\n }\n/*************************\nif mouse is in the 'generate\nsample' box\n**************************/\nelse if (mouseY>60 && mouseY<97 && mouseX>234 && mouseX<310 && v.length>=5)\n {\n if(n<=v.length)\n {\n sampleGeneratedOnce=1;\n holdText();\n drawBlueArea();\n drawPopulation();\n generateSample();\n drawSample();\n calcRealVariance();\n drawRealMean();\n drawRealSD();\n calcSampleVarianceSum();\n drawSampleMean();\n drawSampleSD();\n drawGraph(SDGraph);\n showNbrsamplesGenerated();\n }\n else\n {\nfill(255, 255, 255);\n noStroke();\n rect(0,130, 400, 30);\n stroke(0, 0, 0);\n fill(13, 200, 44);\n text('Sample size is larger than population size.',10,155);\n }\n}\n\n/*************************\nif mouse is on the abscissa\n**************************/\nelse if (mouseY>SDGraph.yPosition-10 && mouseYSDGraph.xPosition && mouseX=5)\n {\n a=decimalRound(((mouseX-SDGraph.xPosition)*(SDGraph.xMax-SDGraph.xMin)/SDGraph.large)+SDGraph.xMin,2);\n drawBlueArea();\n drawPopulation();\n drawSample();\n drawRealMean();\n drawRealSD();\n drawSampleMean();\n drawSampleSD();\n drawGraph(SDGraph);\n showNbrsamplesGenerated();\n }\n};\n\n/*************************\n EXECUTION CODE\n**************************/\n\nfill(79, 90, 245);\ntextSize(15);\ntext('Build a population by clicking in the blue area.',2,35);\ntext('The value of an item is its distance from the left.',2,50);\n\nfill(245, 204, 81);\ntextSize(13);\ntext('Press a key for a single shot at clicking.',2,70);\n\nline(0, 100, 400, 100);\ndrawBlueArea();\n\n/*************************\nWhat happens on a click\n**************************/\nvar draw = function()\n{\n if(mouseIsPressed && !keyIsPressed)\n {\n mainProgram();\n }\n};\n\nvar mousePressed = function()\n{\n if(keyIsPressed)\n {\n mainProgram();\n }\n\n};\n\n\n\n//casse d\u00e9di pour alex !", + "created": "2012-12-13T03:12:08Z", + "recording": {}, + "id": 1001, + "audio_id": 0 + } + }, + { + "related_video_readable_ids": [ + "statistics--variance-of-a-population", + "statistics--sample-variance" + ], + "path": "/math/probability/descriptive-statistics/variance_std_deviation/e/variance/", + "title": "Variance", + "live": true, + "description": null, + "display_name": "Variance", + "slug": "variance", + "kind": "Exercise", + "name": "variance", + "prerequisites": [ + "mean_median_and_mode" + ], + "seconds_per_fast_problem": 51.0 + }, + { + "kind": "Video", + "description": "Review of what we've learned. 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In this tutorial we introduce the variance and standard deviation (which is just the square root of the variance) as two commonly used tools for doing this.", + "topic_page_url": "/math/probability/descriptive-statistics/variance_std_deviation", + "extended_slug": "math/probability/descriptive-statistics/variance_std_deviation", + "slug": "variance_std_deviation", + "kind": "Topic" + }, + { + "path": "/math/probability/descriptive-statistics/old-stats-videos/", + "children": [ + { + "kind": "Video", + "description": "Introduction to descriptive statistics and central tendency. Ways to measure the average of a set: median, mean, mode", + "keywords": "statistics, mean, median, mode, central, tendency, average, CC_6_SP_1, CC_6_SP_2, CC_6_SP_3, CC_6_SP_5_c, CC_7_SP_1", + "related_exercise": { + "path": "/math/probability/descriptive-statistics/central_tendency/e/exploring_mean_and_median/", + "slug": "exploring_mean_and_median", + "title": "Exploring mean and median" + }, + "youtube_id": "uhxtUt_-GyM", + "duration": 755, + "title": "Statistics: The Average", + "path": "/math/probability/descriptive-statistics/old-stats-videos/v/statistics--the-average/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/uhxtUt_-GyM.mp4/uhxtUt_-GyM.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/uhxtUt_-GyM.mp4/uhxtUt_-GyM.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uhxtUt_-GyM.m3u8/uhxtUt_-GyM.m3u8" + }, + "slug": "statistics--the-average", + "readable_id": "statistics--the-average" + }, + { + "kind": "Video", + "description": "Variance of a population.", + "keywords": "statistics, variance, standard, deviation, population, CC_6_SP_3, CC_6_SP_5_c, CC_7_SP_1", + "related_exercise": { + "path": "/math/probability/descriptive-statistics/variance_std_deviation/e/variance/", + "slug": "variance", + "title": "Variance" + }, + "youtube_id": "6JFzI1DDyyk", + "duration": 743, + "title": "Statistics: Variance of a Population", + "path": "/math/probability/descriptive-statistics/old-stats-videos/v/statistics--variance-of-a-population/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6JFzI1DDyyk.mp4/6JFzI1DDyyk.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/6JFzI1DDyyk.mp4/6JFzI1DDyyk.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6JFzI1DDyyk.m3u8/6JFzI1DDyyk.m3u8" + }, + "slug": "statistics--variance-of-a-population", + "readable_id": "statistics--variance-of-a-population" + }, + { + "kind": "Video", + "description": "Using the variance of a sample to estimate the variance of a population", + "keywords": "statistics, sample, variance, estimator, CC_6_SP_3, CC_6_SP_4, CC_6_SP_5_a, CC_6_SP_5_c, CC_7_SP_1", + "related_exercise": { + "path": "/math/probability/descriptive-statistics/variance_std_deviation/e/variance/", + "slug": "variance", + "title": "Variance" + }, + "youtube_id": "Qf3RMGXR-h8", + "duration": 678, + "title": "Statistics: Sample Variance", + "path": "/math/probability/descriptive-statistics/old-stats-videos/v/statistics--sample-variance/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Qf3RMGXR-h8.mp4/Qf3RMGXR-h8.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Qf3RMGXR-h8.mp4/Qf3RMGXR-h8.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Qf3RMGXR-h8.m3u8/Qf3RMGXR-h8.m3u8" + }, + "slug": "statistics--sample-variance", + "readable_id": "statistics--sample-variance" + } + ], + "hide": false, + "title": "Sal's old statistics videos", + "contains": [ + "Topic", + "Video" + ], + "id": "old-stats-videos", + "description": "This tutorial covers central tendency and dispersion. 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If you find one, keep it.", + "keywords": "doodling, mathematics, spirals, flowers, plants, phyllotaxis, fibonacci, golden ratio, phi", "related_exercise": null, - "youtube_id": "yahEP620480", - "duration": 210, - "title": "What is Inflation", - "path": "/finance-economics/core-finance/v/what-is-inflation/", + "youtube_id": "lOIP_Z_-0Hs", + "duration": 374, + "title": "Doodling in Math Class: Spirals, Fibonacci, and Being a Plant [2 of 3]", + "path": "/math/vi-hart/v/doodling-in-math-class--spirals--fibonacci--and-being-a-plant--2-of-3/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/yahEP620480.mp4/yahEP620480.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/yahEP620480.mp4/yahEP620480.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/yahEP620480.m3u8/yahEP620480.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/lOIP_Z_-0Hs.mp4/lOIP_Z_-0Hs.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/lOIP_Z_-0Hs.mp4/lOIP_Z_-0Hs.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/lOIP_Z_-0Hs.m3u8/lOIP_Z_-0Hs.m3u8" }, - 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"description": "Why there tends to be moderate inflation during good economies", - "keywords": "inflation, deflation, economic, cycles", + "description": "Thank you to all the people I know whose math classes do not require such pastimes!\n\nMore videos/info: http://vihart.com/doodling\n\nDoodling Snakes + Graphs: ttp://www.youtube.com/watch?v=heKK95DAKms\nDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfY\n\nhttp://vihart.com", + "keywords": "math, doodles, mathematics, doodling, school, sierpinski's triangle, cellular automata, binary trees", "related_exercise": null, - "youtube_id": "Z_DcXewHHA8", - "duration": 175, - "title": "Moderate Inflation in a Good Economy", - "path": "/finance-economics/core-finance/v/moderate-inflation-in-a-good-economy/", + "youtube_id": "e4MSN6IImpI", + "duration": 228, + "title": "Doodling in Math Class: Binary Trees", + "path": "/math/vi-hart/v/doodling-in-math-class--binary-trees/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z_DcXewHHA8.mp4/Z_DcXewHHA8.mp4", - 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"youtube_id": "bTz_tx460EY", - "duration": 176, - "title": "Stagflation", - "path": "/finance-economics/core-finance/v/stagflation/", + "youtube_id": "CfJzrmS9UfY", + "duration": 238, + "title": "Doodling in Math Class: Stars", + "path": "/math/vi-hart/v/doodling-in-math-class--stars/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/bTz_tx460EY.mp4/bTz_tx460EY.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/bTz_tx460EY.mp4/bTz_tx460EY.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/bTz_tx460EY.m3u8/bTz_tx460EY.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/CfJzrmS9UfY.mp4/CfJzrmS9UfY.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/CfJzrmS9UfY.mp4/CfJzrmS9UfY.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/CfJzrmS9UfY.m3u8/CfJzrmS9UfY.m3u8" }, - "slug": "stagflation", - "readable_id": "stagflation" + "slug": "doodling-in-math-class--stars", + "readable_id": "doodling-in-math-class--stars" }, { "kind": "Video", - "description": "Inflation and real and nominal return", - "keywords": "finance, inflation", + "description": "More videos/info: http://vihart.com/doodling\n\nDoodling Stars: http://www.youtube.com/watch?v=CfJzrmS9UfY\nDoodling Binary Trees: http://www.youtube.com/watch?v=e4MSN6IImpI\n\nhttp://vihart.com", + "keywords": "math, doodles, mathematics, doodling, school, stars, graph theory, borromean rings, ouroboros, snakes, dark mark, topology, knot theory", "related_exercise": null, - "youtube_id": "cNm196bVE5A", - "duration": 190, - "title": "Real and Nominal Return", - "path": "/finance-economics/core-finance/v/real-and-nominal-return/", + "youtube_id": "heKK95DAKms", + "duration": 265, + "title": "Doodling in Math Class: Snakes + Graphs", + "path": "/math/vi-hart/v/doodling-in-math-class--snakes---graphs/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/cNm196bVE5A.mp4/cNm196bVE5A.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/cNm196bVE5A.mp4/cNm196bVE5A.png", - 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Boo cold.\n\nhttp://en.wikipedia.org/wiki/Ulam_spiral\n\nDoodling in Math Class videos: http://vihart.com/doodling", + "keywords": "math, numbers, doodling, ulam, spiral, pascal, triangle, math class", "related_exercise": null, - "youtube_id": "6ycEasF48zI", - "duration": 225, - "title": "Relation Between Nominal and Real Returns and Inflation", - "path": "/finance-economics/core-finance/v/relation-between-nominal-and-real-returns-and-inflation/", + "youtube_id": "Yhlv5Aeuo_k", + "duration": 328, + "title": "Doodling in Math: Sick Number Games", + "path": "/math/vi-hart/v/doodling-in-math--sick-number-games/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/6ycEasF48zI.mp4/6ycEasF48zI.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/6ycEasF48zI.mp4/6ycEasF48zI.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/6ycEasF48zI.m3u8/6ycEasF48zI.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Yhlv5Aeuo_k.mp4/Yhlv5Aeuo_k.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Yhlv5Aeuo_k.mp4/Yhlv5Aeuo_k.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Yhlv5Aeuo_k.m3u8/Yhlv5Aeuo_k.m3u8" }, - "slug": "relation-between-nominal-and-real-returns-and-inflation", - "readable_id": "relation-between-nominal-and-real-returns-and-inflation" + "slug": "doodling-in-math--sick-number-games", + "readable_id": "doodling-in-math--sick-number-games" }, { "kind": "Video", - "description": "How credit default swaps can be used as hedges, insurance or side-bets", - "keywords": "credit, default, finance, crisis", + "description": "How to draw squiggles like a Hilbert.", + "keywords": "squiggle, inception, doodling, math, mathematics, hilbert, curve, doodle, fractal, space-filling curve, vi hart", "related_exercise": null, - "youtube_id": "ewSw9tF9Z0E", - "duration": 271, - "title": "Use Cases for Credit Default Swaps", - "path": "/finance-economics/core-finance/v/use-cases-for-credit-default-swaps/", + "youtube_id": "ik2CZqsAw28", + "duration": 326, + "title": "Doodling in Math Class: Squiggle Inception", + "path": "/math/vi-hart/v/doodling-in-math-class--squiggle-inception/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ewSw9tF9Z0E.mp4/ewSw9tF9Z0E.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/ewSw9tF9Z0E.mp4/ewSw9tF9Z0E.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ewSw9tF9Z0E.m3u8/ewSw9tF9Z0E.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/ik2CZqsAw28.mp4/ik2CZqsAw28.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/ik2CZqsAw28.mp4/ik2CZqsAw28.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/ik2CZqsAw28.m3u8/ik2CZqsAw28.m3u8" }, - "slug": "use-cases-for-credit-default-swaps", - "readable_id": "use-cases-for-credit-default-swaps" + "slug": "doodling-in-math-class--squiggle-inception", + "readable_id": "doodling-in-math-class--squiggle-inception" }, { "kind": "Video", - "description": "Why Warren Buffett called Credit Default Swaps financial weapons of mass destruction", - "keywords": "finance, cds", + "description": "Triangles!", + "keywords": "doodling, mathematics, fractals, math, triangles, trigonometry, koch, vi hart, doodle, geometry, Triangle", "related_exercise": null, - "youtube_id": "MNUVuZu6heA", - "duration": 288, - "title": "Financial Weapons of Mass Destruction", - "path": "/finance-economics/core-finance/v/financial-weapons-of-mass-destruction/", + "youtube_id": "o6KlpIWhbcw", + "duration": 265, + "title": "Doodling in Math Class: Triangle Party", + "path": "/math/vi-hart/v/doodling-in-math-class--triangle-party/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/MNUVuZu6heA.mp4/MNUVuZu6heA.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/MNUVuZu6heA.mp4/MNUVuZu6heA.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/MNUVuZu6heA.m3u8/MNUVuZu6heA.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/o6KlpIWhbcw.mp4/o6KlpIWhbcw.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/o6KlpIWhbcw.mp4/o6KlpIWhbcw.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o6KlpIWhbcw.m3u8/o6KlpIWhbcw.m3u8" }, - "slug": "financial-weapons-of-mass-destruction", - "readable_id": "financial-weapons-of-mass-destruction" + "slug": "doodling-in-math-class--triangle-party", + "readable_id": "doodling-in-math-class--triangle-party" }, { "kind": "Video", - "description": "Basics of deflation", - "keywords": "finance, deflation", + "description": "A cautionary tale. Other Mobius videos:Candy Buttons http://www.youtube.com/watch?v=OOLIB3cjFqwM\u00f6bius Music Box http://www.youtube.com/watch?v=3iMI_uOM_fYWikipedia links:http://en.wikipedia.org/wiki/M%C3%B6bius_striphttp://en.wikipedia.org/wiki/FlatlandThis is the book you should get if you want to know all things M\u00f6bius: http://www.amazon.com/dp/1560259523?tag=vihartcom-20This story was inspired by the novel Flatland: http://www.amazon.com/dp/019953750X?tag=vihartcom-20There's a pretty cool movie version: http://www.amazon.com/dp/1604615370?tag=vihartcom-20Me: http://vihart.com", + "keywords": "mathematics, math, mobius strip, m\u00f6bius, topology, flatland, vihart, vi hart, triangles, ambigrams", "related_exercise": null, - "youtube_id": "FPh6EDv0Eew", - "duration": 190, - "title": "Deflation", - "path": "/finance-economics/core-finance/v/deflation/", + "youtube_id": "4mdEsouIXGM", + "duration": 435, + "title": "Mobius Story: Wind and Mr. Ug", + "path": "/math/vi-hart/v/m-bius-story--wind-and-mr--ug/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/FPh6EDv0Eew.mp4/FPh6EDv0Eew.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/FPh6EDv0Eew.mp4/FPh6EDv0Eew.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FPh6EDv0Eew.m3u8/FPh6EDv0Eew.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4mdEsouIXGM.mp4/4mdEsouIXGM.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/4mdEsouIXGM.mp4/4mdEsouIXGM.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4mdEsouIXGM.m3u8/4mdEsouIXGM.m3u8" }, - "slug": "deflation", - "readable_id": "deflation" + "slug": "m-bius-story--wind-and-mr--ug", + "readable_id": "m-bius-story--wind-and-mr--ug" }, { "kind": "Video", - "description": "How velocity of money can drive price increases", - "keywords": "finance, economics", + "description": "Playing mathematically with fruits by the foot.\nMobius Story, Wind and Mr. Ug: http://www.youtube.com/watch?v=4mdEsouIXGM\nMobius Candy buttons: http://www.youtube.com/watch?v=OOLIB3cjFqw\nMobius Music box: http://www.youtube.com/watch?v=3iMI_uOM_fY\n\nDoodling Snakes + Graphs (Useful for drawing Borromean rings): http://youtu.be/heKK95DAKms", + "keywords": "mathematics, mobius strip, frieze pattern, borromean rings, symmetry, fruit by the foot", "related_exercise": null, - "youtube_id": "stfSnPaaK04", - "duration": 211, - "title": "Velocity of Money Rather than Quantity Driving Prices", - "path": "/finance-economics/core-finance/v/velocity-of-money-rather-than-quantity-driving-prices/", + "youtube_id": "Am-a5x9DGjg", + "duration": 292, + "title": "Math Improv: Fruit by the Foot", + "path": "/math/vi-hart/v/math-improv--fruit-by-the-foot/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/stfSnPaaK04.mp4/stfSnPaaK04.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/stfSnPaaK04.mp4/stfSnPaaK04.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/stfSnPaaK04.m3u8/stfSnPaaK04.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Am-a5x9DGjg.mp4/Am-a5x9DGjg.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Am-a5x9DGjg.mp4/Am-a5x9DGjg.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Am-a5x9DGjg.m3u8/Am-a5x9DGjg.m3u8" }, - "slug": "velocity-of-money-rather-than-quantity-driving-prices", - "readable_id": "velocity-of-money-rather-than-quantity-driving-prices" + "slug": "math-improv--fruit-by-the-foot", + "readable_id": "math-improv--fruit-by-the-foot" }, { "kind": "Video", - "description": "How you can have deflation even if the money supply increases", - "keywords": "deflation, inflation, japan", + "description": "What other amazing properties of Wau can you think of? Leave them in the comments.", + "keywords": "wau", "related_exercise": null, - "youtube_id": "t2AeULH_Ijw", - "duration": 244, - "title": "Deflation Despite Increases in Money Supply", - "path": "/finance-economics/core-finance/v/deflation-despite-increases-in-money-supply/", + "youtube_id": "GFLkou8NvJo", + "duration": 319, + "title": "Wau: The Most Amazing, Ancient, and Singular Number", + "path": "/math/vi-hart/v/wau--the-most-amazing--ancient--and-singular-number/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/t2AeULH_Ijw.mp4/t2AeULH_Ijw.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/t2AeULH_Ijw.mp4/t2AeULH_Ijw.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/t2AeULH_Ijw.m3u8/t2AeULH_Ijw.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GFLkou8NvJo.mp4/GFLkou8NvJo.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/GFLkou8NvJo.mp4/GFLkou8NvJo.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GFLkou8NvJo.m3u8/GFLkou8NvJo.m3u8" }, - "slug": "deflation-despite-increases-in-money-supply", - "readable_id": "deflation-despite-increases-in-money-supply" + "slug": "wau--the-most-amazing--ancient--and-singular-number", + "readable_id": "wau--the-most-amazing--ancient--and-singular-number" }, { "kind": "Video", - "description": "Basics of a deflationary spiral", - "keywords": "finance, depression", + "description": "Happy Pi Day! Also see: Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ\nPi in Binary Hand Dance: http://youtu.be/OCYZTg3jahU\nSpecial thanks to Toby (or not Toby) for playing Dog Hamlet.\n\nThis cool website lets you search the first 200,000,000 digits of Pi. See if your phone number or encoded name is in there! http://www.angio.net/pi/piquery\n\nSeven Sonnets:\n\nAre Shakespeare's plays encoded within Pi? \nThe truth is: we don't know, but we suspect\nThey're somewhere in those digits. And now I\nWill show why we don't know if we're correct.\n\nYou see, we think the digits do behave\nAs if they were a random sequence, and\nSo many mathematicians tried to brave\nThis question, but we still don't understand.\n\nPi isn't random: each digit must be\nExactly what the definition states.\nIt's pseudo-random, far as we can see,\nBut it's the subject of intense debates.\n\nNow I'll explain, with this parameter:\nIt's all in iambic pentameter.\n\nYou may have heard of this scenario:\nA thousand monkeys type at keyboards 'till\nThey write the works of Shakespeare. Even though,\nIn one life it's a task they can't fulfill.\n\nIf you allow their kids to carry on,\nAll through the generations working hard,\nThey will evolve before they come upon\nA single sonnet written by the Bard.\n\nBut still, the theory's sound! And it is true\nThat with a random and infinite set\nOf letters, that eventu-ally you\nWill find whatever words you want to get.\n\nHowever, on this thing you can depend:\nBefore you do, the universe will end.\n\n\nPi is a number, and that's why I can\nCompletely guarantee no part will be\n9-1-3-7-5-2-2-8-ten\n4-7-9-H-A-M-L-E-T.\n\nYou'd have to make up something, like a code\nWhere zero-one is A, Oh-three is C,\nOr you could also choose some other mode,\nOh-2 could be \"to be or not to be.\"\n\nBut let's go with this system, where a Y\nIs 2-5, O's one five, and R's eighteen,\nAnd next comes zero 9 which is an I,\nOh-three, eleven. Yorick's name is seen!\n\nDoes Pi say anything? How does it go?\n1-4-1-5. I guess the answer's \"no.\"\n\n\nIf you desire to search Pi for a thing\nLike Hamlet, as if you'd 'discover' it,\nWithout a copy used for referencing,\nYou wouldn't know if you'd recovered it.\n\nIn fact, it's almost certain, so beware:\nBefore you get to Hamlet, if you slog\nThrough all the digits, you'll find versions where\nThere's just one thing changed: Hamlet is a dog.\n\nDog Hamlet is so awesome and he goes\nOn infinitely many adventures.\nIn this infinite space everyone knows\nDog Hamlet's king. Sometimes he has dentures.\n\nUnless Pi isn't normal. I'll admit:\nPi might not have a single Dog Hamlet.\n\n\nA normal number is a number where,\nIf you take any pattern of length Z\nYou'll definitely find the pattern there,\nAnd others that length, with' same frequency.\n\nLength 1 would just be every digit, so\nAll digits happen infinity times.\nAnd all two-digit numbers also go\nIn there somewhere. If you list all the primes,\n\nYou get the Copeland-Erdos constant, which\nIs one of few known normal numbers. Or\nTake every number in order and stitch\nThem all together. And we know there's more.\n\nMost numbers must be of the normal kind,\nBut somehow they are hard for us to find.\n\n\nWe think that Pi is normal. Also e\nAnd square root 2 and other stuff like that.\nWe don't know how to prove that they must be,\nThat Pi contains Macbeth where he's a cat.\n\nIf you've got every combination of\nDigits of every length, that will include\nA Romeo and Juliet in love\nWho meet in time and live and end the feud.\n\nAnd since the strings of numbers must occur\nWith equal frequency to other strings\nOf the same length, it don't matter whether\nYou choose this code or other permutings.\n\nPerhaps somewhere Dog Hamlet and Catbeth\nAre chillin', bustin' ghosts, avoiding death.\n\n\nThere's simple open problems about pi,\nLike whether every digit, oh through nine,\nKeeps happening. We can't figure out why\n6 shouldn't stop appearing, down the line.\n\nIt seems ridiculous, to think that 2\nOccurs finitely many times. I fear,\nThat without proof, we can't say it's not true.\nAlas, poor Yorick may never appear.\n\nBut the exciting thing is that I think\nThese problems will be solved before too long.\nAnd then this video will really stink\nBecause all this not-knowing will be wrong.\n\nDon't worry; I look forward to its fall.\n'Till then, a happy Pi Day to you all.", + "keywords": "pi, pi day, shakespeare, sonnets, mathematics, normal numbers", "related_exercise": null, - "youtube_id": "snX4Wf7PGts", - "duration": 231, - "title": "Deflationary Spiral", - "path": "/finance-economics/core-finance/v/deflationary-spiral/", + "youtube_id": "uXoh6vi6J5U", + "duration": 226, + "title": "Are Shakespeare's Plays Encoded within Pi?", + "path": "/math/vi-hart/v/are-shakespeare-s-plays-encoded-within-pi/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/snX4Wf7PGts.mp4/snX4Wf7PGts.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/snX4Wf7PGts.mp4/snX4Wf7PGts.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/snX4Wf7PGts.m3u8/snX4Wf7PGts.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/uXoh6vi6J5U.mp4/uXoh6vi6J5U.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/uXoh6vi6J5U.mp4/uXoh6vi6J5U.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/uXoh6vi6J5U.m3u8/uXoh6vi6J5U.m3u8" }, - "slug": "deflationary-spiral", - "readable_id": "deflationary-spiral" + "slug": "are-shakespeare-s-plays-encoded-within-pi", + "readable_id": "are-shakespeare-s-plays-encoded-within-pi" }, { "kind": "Video", - "description": "Basic of hyperinflation. Weimar Germany, Hungarian Pengo and Zibabwean Dollar", - "keywords": "Zimbabwe, spiral, finance", + "description": "Accuracy not guaranteed. Get Audacity and play! http://audacity.sourceforge.net/\n\nCorrection: it is the \"Basilar\" membrane, which is what I say, but somehow between recording the script and actually drawing the stuff I got confused and thought I just pronounced my Vs poorly. Always sad to have such a simple and glaring error in something I put hundreds of hours of work into, but a \"Vasilar\" membrane can be the kind that a Vi draws to explain Viola Vibrations, I guess! Making up new words is just so prolightfully awstastic.\n\nProps to my Bro for excellent and creative swing pushing, and to my Mamma for filming it.\n\nExtra special thanks to my generous donators, without whom I would not have been able to create this video. Because of your support, I have the equipment, time, and take-out Thai food necessary for doing stuff like this.", + "keywords": "science, mathematics, sound, pitch, frequency, audio, ears, sound wave, music", "related_exercise": null, - "youtube_id": "AC_kjcuHpZw", - "duration": 242, - "title": "Hyperinflation", - "path": "/finance-economics/core-finance/v/hyperinflation/", + "youtube_id": "i_0DXxNeaQ0", + "duration": 769, + "title": "What is up with Noises? (The Science and Mathematics of Sound, Frequency, and Pitch)", + "path": "/math/vi-hart/v/what-is-up-with-noises---the-science-and-mathematics-of-sound--frequency--and-pitch/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AC_kjcuHpZw.mp4/AC_kjcuHpZw.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/AC_kjcuHpZw.mp4/AC_kjcuHpZw.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AC_kjcuHpZw.m3u8/AC_kjcuHpZw.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/i_0DXxNeaQ0.mp4/i_0DXxNeaQ0.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/i_0DXxNeaQ0.mp4/i_0DXxNeaQ0.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/i_0DXxNeaQ0.m3u8/i_0DXxNeaQ0.m3u8" }, - "slug": "hyperinflation", - "readable_id": "hyperinflation" + "slug": "what-is-up-with-noises---the-science-and-mathematics-of-sound--frequency--and-pitch", + "readable_id": "what-is-up-with-noises---the-science-and-mathematics-of-sound--frequency--and-pitch" }, { "kind": "Video", - "description": "Overview of the inheritance tax", - "keywords": "estate, tax, inheritance, death", + "description": "SpongeBob background designer's response: \"OK, I guess the jig is up... I'm tired of living a lie.\" See his full message and pineapple redesign: http://kennypittenger.blogspot.com/2012/01/called-out.html\n\nP.S. http://youtu.be/sFTwc8kHSu4\nFor more on Fibonacci and Plants: http://youtu.be/ahXIMUkSXX0\nFor more snail: http://youtu.be/xbsAUq_nvxE", + "keywords": "spongebob, pineapple, nickelodeon, snail, squarepants, math, mathematics, fibonacci", "related_exercise": null, - "youtube_id": "9nEBmsIsIYg", - "duration": 330, - "title": "Estate Tax Basics", - "path": "/finance-economics/core-finance/v/estate-tax-basics/", + "youtube_id": "gBxeju8dMho", + "duration": 118, + "title": "Open Letter to Nickelodeon, Re: SpongeBob's Pineapple under the Sea", + "path": "/math/vi-hart/v/open-letter-to-nickelodeon--re--spongebob-s-pineapple-under-the-sea/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/9nEBmsIsIYg.mp4/9nEBmsIsIYg.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/9nEBmsIsIYg.mp4/9nEBmsIsIYg.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/9nEBmsIsIYg.m3u8/9nEBmsIsIYg.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/gBxeju8dMho.mp4/gBxeju8dMho.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/gBxeju8dMho.mp4/gBxeju8dMho.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/gBxeju8dMho.m3u8/gBxeju8dMho.m3u8" }, - "slug": "estate-tax-basics", - "readable_id": "estate-tax-basics" + "slug": "open-letter-to-nickelodeon--re--spongebob-s-pineapple-under-the-sea", + "readable_id": "open-letter-to-nickelodeon--re--spongebob-s-pineapple-under-the-sea" }, { "kind": "Video", - "description": "The difference between term and whole life insurance", - "keywords": "insurance, life, term, whole, finance, investing", + "description": "Snakes!\n\nSnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakesnakes.\n\nme: vihart.com\n\nYou can get a box here:\nhttp://www.amazon.com/dp/B003I6USDW?tag=vihartcom-20", + "keywords": "snakes, math, fractal, mathematics, hydra, peano curve, pi", "related_exercise": null, - "youtube_id": "r4NxMVZf6s4", - "duration": 899, - "title": "Term and Whole Life", - "path": "/finance-economics/core-finance/v/term-and-whole-life/", + "youtube_id": "Gx5D09s5X6U", + "duration": 130, + "title": "How To Snakes", + "path": "/math/vi-hart/v/how-to-snakes/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/r4NxMVZf6s4.mp4/r4NxMVZf6s4.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/r4NxMVZf6s4.mp4/r4NxMVZf6s4.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/r4NxMVZf6s4.m3u8/r4NxMVZf6s4.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Gx5D09s5X6U.mp4/Gx5D09s5X6U.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Gx5D09s5X6U.mp4/Gx5D09s5X6U.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Gx5D09s5X6U.m3u8/Gx5D09s5X6U.m3u8" }, - "slug": "term-and-whole-life", - "readable_id": "term-and-whole-life" + "slug": "how-to-snakes", + "readable_id": "how-to-snakes" }, { "kind": "Video", - "description": "Mutual fund basic", - "keywords": "finance, economics, investing", + "description": "Leave your homework in the comments. Extra points for clarity and conciseness!\n\nSpecial thanks to my peeps at NYU where the idea for this video popped up during discussion.", + "keywords": "pythagorean theorem, geometry, mathematics, trigonometry, origami, paper folding, proof", "related_exercise": null, - "youtube_id": "Dy6SAdpAc8I", - "duration": 597, - "title": "Open-Ended Mutual Funds", - "path": "/finance-economics/core-finance/v/open-ended-mutual-funds/", + "youtube_id": "z6lL83wl31E", + "duration": 194, + "title": "Origami Proof of the Pythagorean Theorem", + "path": "/math/vi-hart/v/origami-proof-of-the-pythagorean-theorem/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Dy6SAdpAc8I.mp4/Dy6SAdpAc8I.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/Dy6SAdpAc8I.mp4/Dy6SAdpAc8I.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Dy6SAdpAc8I.m3u8/Dy6SAdpAc8I.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/z6lL83wl31E.mp4/z6lL83wl31E.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/z6lL83wl31E.mp4/z6lL83wl31E.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/z6lL83wl31E.m3u8/z6lL83wl31E.m3u8" }, - "slug": "open-ended-mutual-funds", - "readable_id": "open-ended-mutual-funds" + "slug": "origami-proof-of-the-pythagorean-theorem", + "readable_id": "origami-proof-of-the-pythagorean-theorem" }, { "kind": "Video", - "description": "How the unemployment rate is calculated", - "keywords": "economics, unemployment", + "description": "Point Nine Repeating Equals One!\n9.999... reasons in 9.999... minutes.\n\nBonus points if you can name all 9.999... lords a-leaping.\n\nDear YouTube, wouldn't it be nice if I could include the full script with this video? A larger character limit would not be unreasonable.", + "keywords": "mathematics, numbers, repeating decimals, real numbers, surreal numbers, hyperreal numbers", "related_exercise": null, - "youtube_id": "cR7ycFYKyWo", - "duration": 604, - "title": "Unemployment Rate Primer (v2)", - "path": "/finance-economics/core-finance/v/unemployment-rate-primer--v2/", + "youtube_id": "TINfzxSnnIE", + "duration": 601, + "title": "9.999... reasons that .999... = 1", + "path": "/math/vi-hart/v/9-999----reasons-that--999------1/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/cR7ycFYKyWo.mp4/cR7ycFYKyWo.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/cR7ycFYKyWo.mp4/cR7ycFYKyWo.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cR7ycFYKyWo.m3u8/cR7ycFYKyWo.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TINfzxSnnIE.mp4/TINfzxSnnIE.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/TINfzxSnnIE.mp4/TINfzxSnnIE.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TINfzxSnnIE.m3u8/TINfzxSnnIE.m3u8" }, - "slug": "unemployment-rate-primer--v2", - "readable_id": "unemployment-rate-primer--v2" + "slug": "9-999----reasons-that--999------1", + "readable_id": "9-999----reasons-that--999------1" }, { "kind": "Video", - "description": "Why when you get your money matters as much as how much money. Present and future value also discussed.", - "keywords": "Present, future, value, time, finance", + "description": "Please excuse the simple math and spelling errors. You shouldn't believe anything I say without double-checking even at the best of times.\n\nGo here: http://tauday.com/\nand here: http://www.math.utah.edu/~palais/pi.html\n\nMe: http://vihart.com", + "keywords": "pi, tau, pie, pi day, trigonometry, trig, math, mathematics, Magritte, charlie sheen", "related_exercise": null, - "youtube_id": "As1QpFGlGbg", - "duration": 514, - "title": "Time Value of Money", - "path": "/finance-economics/core-finance/v/time-value-of-money/", + "youtube_id": "jG7vhMMXagQ", + "duration": 317, + "title": "Pi Is (still) Wrong.", + "path": "/math/vi-hart/v/pi-is--still--wrong/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/As1QpFGlGbg.mp4/As1QpFGlGbg.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/As1QpFGlGbg.mp4/As1QpFGlGbg.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/As1QpFGlGbg.m3u8/As1QpFGlGbg.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/jG7vhMMXagQ.mp4/jG7vhMMXagQ.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/jG7vhMMXagQ.mp4/jG7vhMMXagQ.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/jG7vhMMXagQ.m3u8/jG7vhMMXagQ.m3u8" }, - "slug": "time-value-of-money", - "readable_id": "time-value-of-money" + "slug": "pi-is--still--wrong", + "readable_id": "pi-is--still--wrong" }, { "kind": "Video", - "description": "Understanding how mortgage interest rates are quoted", - "keywords": "finance, personal, economics", + "description": "How to make snazzy-lookin' fractal equations using simple algebra.\n\nFor more abacabadabacaba: http://www.abacaba.org/\nand http://books.google.com/books?id=QpPlxwSa8akC&pg=PA60&lpg=PA60&dq=abacabadabacaba+%22martin+gardner%22&source=bl&ots=92eAyvrZGV&sig=J2uvF2DAyn9kY8nSarSy-XIXW74&hl=en&sa=X&ei=Np45T4K9GYixiQK92NG2Bg&ved=0CCEQ6AEwAA#v=onepage&q&f=false", + "keywords": "fractal, fractions, infinity, mathematics, math, algebra", "related_exercise": null, - "youtube_id": "a58PSBX7BSY", - "duration": 876, - "title": "Mortgage Interest Rates", - "path": "/finance-economics/core-finance/v/mortgage-interest-rates/", + "youtube_id": "a5z-OEIfw3s", + "duration": 345, + "title": "Fractal Fractions", + "path": "/math/vi-hart/v/fractal-fractions/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/a58PSBX7BSY.mp4/a58PSBX7BSY.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/a58PSBX7BSY.mp4/a58PSBX7BSY.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a58PSBX7BSY.m3u8/a58PSBX7BSY.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/a5z-OEIfw3s.mp4/a5z-OEIfw3s.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/a5z-OEIfw3s.mp4/a5z-OEIfw3s.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a5z-OEIfw3s.m3u8/a5z-OEIfw3s.m3u8" }, - "slug": "mortgage-interest-rates", - "readable_id": "mortgage-interest-rates" + "slug": "fractal-fractions", + "readable_id": "fractal-fractions" }, { "kind": "Video", - "description": "Basic understanding of Inflation", - "keywords": "finance, economics", + "description": "This is a follow-up from Being a Plant part 2 ( http://youtu.be/lOIP_Z_-0Hs )", + "keywords": "angle, a, trons", "related_exercise": null, - "youtube_id": "mO6y4KON1e8", - "duration": 558, - "title": "Inflation Overview", - "path": "/finance-economics/core-finance/v/inflation-overview/", + "youtube_id": "o6W6P8JZW0o", + "duration": 124, + "title": "Angle-a-trons", + "path": "/math/vi-hart/v/angle-a-trons/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/mO6y4KON1e8.mp4/mO6y4KON1e8.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/mO6y4KON1e8.mp4/mO6y4KON1e8.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/mO6y4KON1e8.m3u8/mO6y4KON1e8.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/o6W6P8JZW0o.mp4/o6W6P8JZW0o.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/o6W6P8JZW0o.mp4/o6W6P8JZW0o.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/o6W6P8JZW0o.m3u8/o6W6P8JZW0o.m3u8" }, - "slug": "inflation-overview", - "readable_id": "inflation-overview" + "slug": "angle-a-trons", + "readable_id": "angle-a-trons" }, { "kind": "Video", - "description": "Understanding that a marginal tax rate does not apply to all of income", - "keywords": "finance, education", + "description": "Thanks to my bro for the music! He's at christopherhart2010@gmail.com\n\nThanks to my other bro for hand dancin' and throwing money at me, and special thanks to my mamma and grandma for their guest appearances.", + "keywords": "mathematics, pi, binary", "related_exercise": null, - "youtube_id": "g7bVoRgV0vs", - "duration": 256, - "title": "Basics of US Income Tax Rate Schedule", - "path": "/finance-economics/core-finance/v/basics-of-us-income-tax-rate-schedule/", + "youtube_id": "OCYZTg3jahU", + "duration": 148, + "title": "Binary Hand Dance", + "path": "/math/vi-hart/v/binary-hand-dance/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/g7bVoRgV0vs.mp4/g7bVoRgV0vs.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/g7bVoRgV0vs.mp4/g7bVoRgV0vs.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/g7bVoRgV0vs.m3u8/g7bVoRgV0vs.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/OCYZTg3jahU.mp4/OCYZTg3jahU.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/OCYZTg3jahU.mp4/OCYZTg3jahU.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/OCYZTg3jahU.m3u8/OCYZTg3jahU.m3u8" }, - "slug": "basics-of-us-income-tax-rate-schedule", - "readable_id": "basics-of-us-income-tax-rate-schedule" + "slug": "binary-hand-dance", + "readable_id": "binary-hand-dance" }, { "kind": "Video", - "description": "The mechanics of the carry trade", - "keywords": "finance, macro, economics, japan, iceland", + "description": "A quick response to some mathy things going around.", + "keywords": "mathematics, multiplication", "related_exercise": null, - "youtube_id": "8In5PK1yUAA", - "duration": 243, - "title": "Carry Trade Basics", - "path": "/finance-economics/core-finance/v/carry-trade-basics/", + "youtube_id": "a-e8fzqv3CE", + "duration": 199, + "title": "Re: Visual Multiplication and 48/2(9+3)", + "path": "/math/vi-hart/v/re--visual-multiplication-and-48-2-9-3/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8In5PK1yUAA.mp4/8In5PK1yUAA.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/8In5PK1yUAA.mp4/8In5PK1yUAA.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8In5PK1yUAA.m3u8/8In5PK1yUAA.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/a-e8fzqv3CE.mp4/a-e8fzqv3CE.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/a-e8fzqv3CE.mp4/a-e8fzqv3CE.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a-e8fzqv3CE.m3u8/a-e8fzqv3CE.m3u8" }, - "slug": "carry-trade-basics", - "readable_id": "carry-trade-basics" + "slug": "re--visual-multiplication-and-48-2-9-3", + "readable_id": "re--visual-multiplication-and-48-2-9-3" }, { "kind": "Video", - "description": "How to interpret the market price of a futures contract relative to the fair value in the premarket", - "keywords": "finance, stocks, investing, market", + "description": "Christmas ain't over yet. The 12th day is Jan. 6th!\n\nYou can get just the song here: http://vihart.com/music/gauss12days.mp3\n\nhttp://vihart.com", + "keywords": "math, gauss, triangles, mathematics, triangular numbers, vihart, christmas, 12 days, math class, doodling", "related_exercise": null, - "youtube_id": "owcmu4XxrHM", - "duration": 218, - "title": "Interpreting Futures Fair Value in the PreMarket", - "path": "/finance-economics/core-finance/v/interpretting-futures-fair-value-in-the-premarket/", + "youtube_id": "sxnX5_LbBDU", + "duration": 617, + "title": "The Gauss Christmath Special", + "path": "/math/vi-hart/v/the-gauss-christmath-special/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/owcmu4XxrHM.mp4/owcmu4XxrHM.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/owcmu4XxrHM.mp4/owcmu4XxrHM.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/owcmu4XxrHM.m3u8/owcmu4XxrHM.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/sxnX5_LbBDU.mp4/sxnX5_LbBDU.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/sxnX5_LbBDU.mp4/sxnX5_LbBDU.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/sxnX5_LbBDU.m3u8/sxnX5_LbBDU.m3u8" }, - "slug": "interpretting-futures-fair-value-in-the-premarket", - "readable_id": "interpretting-futures-fair-value-in-the-premarket" + "slug": "the-gauss-christmath-special", + "readable_id": "the-gauss-christmath-special" }, { "kind": "Video", - "description": "The basic dynamic of an interest rate swap", - "keywords": "LIBOR, fixed, variable, rate, interest", + "description": "Correction: when I mark where pi is on the graph, I meant pi/2!\nNote: If this video were supposed to be teaching you, I'd probably have to make it boring and say that in one sense of limits, spoiler alert, you actually do approach a circle and a line, solving the apparent paradox by saying that the invariant of length does not hold over infinity. Luckily I am an artist, and this is a Rhapsody, and instead of \"learning,\" you get to actually think, if you like.", + "keywords": "mathematics, graphs, infinity, fractals, polygons, doodling, vi hart", "related_exercise": null, - "youtube_id": "PLjyj1FJqig", - "duration": 231, - "title": "Interest Rate Swap 1", - "path": "/finance-economics/core-finance/v/interest-rate-swap-1/", + "youtube_id": "D2xYjiL8yyE", + "duration": 356, + "title": "Rhapsody on the Proof of Pi = 4", + "path": "/math/vi-hart/v/rhapsody-on-the-proof-of-pi---4/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/PLjyj1FJqig.mp4/PLjyj1FJqig.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/PLjyj1FJqig.mp4/PLjyj1FJqig.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/PLjyj1FJqig.m3u8/PLjyj1FJqig.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/D2xYjiL8yyE.mp4/D2xYjiL8yyE.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/D2xYjiL8yyE.mp4/D2xYjiL8yyE.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/D2xYjiL8yyE.m3u8/D2xYjiL8yyE.m3u8" }, - "slug": "interest-rate-swap-1", - "readable_id": "interest-rate-swap-1" + "slug": "rhapsody-on-the-proof-of-pi---4", + "readable_id": "rhapsody-on-the-proof-of-pi---4" }, { "kind": "Video", - "description": null, - "keywords": "Interest, Rate, Swap, 2", + "description": "A visual and musical expression of mathematical symmetry groups. The transformations done to the video are equivalent to the transformations done to the notes.\n\nThese type of repeating patterns are called frieze patterns. A couple wallpaper groups are also represented.", + "keywords": "doodling, mathematics, art, pattern, symmetry, frieze, music, doodle", "related_exercise": null, - "youtube_id": "xE43JrjCpjE", - "duration": 287, - "title": "Interest Rate Swap 2", - "path": "/finance-economics/core-finance/v/interest-rate-swap-2/", + "youtube_id": "Av_Us6xHkUc", + "duration": 235, + "title": "Doodle Music", + "path": "/math/vi-hart/v/doodle-music/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/xE43JrjCpjE.mp4/xE43JrjCpjE.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/xE43JrjCpjE.mp4/xE43JrjCpjE.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/xE43JrjCpjE.m3u8/xE43JrjCpjE.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Av_Us6xHkUc.mp4/Av_Us6xHkUc.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/Av_Us6xHkUc.mp4/Av_Us6xHkUc.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Av_Us6xHkUc.m3u8/Av_Us6xHkUc.m3u8" }, - "slug": "interest-rate-swap-2", - "readable_id": "interest-rate-swap-2" + "slug": "doodle-music", + "readable_id": "doodle-music" }, { "kind": "Video", - "description": "How a corporation can set up a tax haven and use it through transfer pricing.", - "keywords": "", + "description": "Pythagoras had a problem with beans and irrationality. What really happened? I don't know! The square root of two is irrational, and beans are delicious.", + "keywords": "pythagoras, pythagoreans, sqrt 2, square root, irrational numbers, rational numbers, ratio, mathematics, numbers, proof", "related_exercise": null, - "youtube_id": "TLSYwkWCIzA", - "duration": 407, - "title": "Transfer Pricing and Tax Havens", - "path": "/finance-economics/core-finance/v/transfer-pricing-and-tax-havens/", + "youtube_id": "X1E7I7_r3Cw", + "duration": 530, + "title": "What was up with Pythagoras?", + "path": "/math/vi-hart/v/what-was-up-with-pythagoras/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/TLSYwkWCIzA.mp4/TLSYwkWCIzA.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/TLSYwkWCIzA.mp4/TLSYwkWCIzA.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/TLSYwkWCIzA.m3u8/TLSYwkWCIzA.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/X1E7I7_r3Cw.mp4/X1E7I7_r3Cw.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/X1E7I7_r3Cw.mp4/X1E7I7_r3Cw.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/X1E7I7_r3Cw.m3u8/X1E7I7_r3Cw.m3u8" }, - "slug": "transfer-pricing-and-tax-havens", - "readable_id": "transfer-pricing-and-tax-havens" - } - ], - "hide": false, - "title": "Core Finance", - "contains": [ - "Topic", - "Video" - ], - "id": "core-finance", - "description": "Videos on finance and macroeconomics", - "topic_page_url": "/finance-economics/core-finance", - "extended_slug": "finance-economics/core-finance", - "slug": "core-finance", - "kind": "Topic" - }, - { - "path": "/finance-economics/valuation-and-investing/", - "children": [ + "slug": "what-was-up-with-pythagoras", + "readable_id": "what-was-up-with-pythagoras" + }, { "kind": "Video", - "description": "Introduction to price and market capitalization", - "keywords": "finance, investing, stocks, valuation", + "description": "Happy Tau Day! This is a song about Tau! Other Tau things you should see:Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ What Tau Sounds Like: http://youtu.be/3174T-3-59QThe Tau Manifesto: http://tauday.com/", + "keywords": "tau, pi, circles, tau day, song, math", "related_exercise": null, - "youtube_id": "fa-VZ-SDxgY", - "duration": 715, - "title": "Price and Market Capitalization", - "path": "/finance-economics/valuation-and-investing/v/price-and-market-capitalization/", + "youtube_id": "FtxmFlMLYRI", + "duration": 229, + "title": "A Song About A Circle Constant", + "path": "/math/vi-hart/v/a-song-about-a-circle-constant/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/fa-VZ-SDxgY.mp4/fa-VZ-SDxgY.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/fa-VZ-SDxgY.mp4/fa-VZ-SDxgY.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/fa-VZ-SDxgY.m3u8/fa-VZ-SDxgY.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/FtxmFlMLYRI.mp4/FtxmFlMLYRI.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/FtxmFlMLYRI.mp4/FtxmFlMLYRI.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/FtxmFlMLYRI.m3u8/FtxmFlMLYRI.m3u8" }, - "slug": "price-and-market-capitalization", - "readable_id": "price-and-market-capitalization" + "slug": "a-song-about-a-circle-constant", + "readable_id": "a-song-about-a-circle-constant" }, { "kind": "Video", - "description": "The income statement, revenue, gross profit, operating profit, net income, ROA and ROE.", - "keywords": "finance, income, statement, ROA, ROE, gross, profit, revenue", + "description": "A dialogue with the number 2, with special guest Brady Haran of Numberphile and other channels!\nhttp://www.youtube.com/user/numberphile\nhttp://www.youtube.com/user/periodicvideos\nhttp://www.youtube.com/user/sixtysymbols", + "keywords": "two, numbers, fractions, addition, vihart", "related_exercise": null, - "youtube_id": "Z7C4cz2HkeY", - "duration": 927, - "title": "Introduction to the Income Statement", - "path": "/finance-economics/valuation-and-investing/v/introduction-to-the-income-statement/", + "youtube_id": "dBVoIUASFS0", + "duration": 250, + "title": "Dialogue for 2", + "path": "/math/vi-hart/v/dialogue-for-2/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Z7C4cz2HkeY.mp4/Z7C4cz2HkeY.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/Z7C4cz2HkeY.mp4/Z7C4cz2HkeY.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Z7C4cz2HkeY.m3u8/Z7C4cz2HkeY.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/dBVoIUASFS0.mp4/dBVoIUASFS0.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/dBVoIUASFS0.mp4/dBVoIUASFS0.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/dBVoIUASFS0.m3u8/dBVoIUASFS0.m3u8" }, - "slug": "introduction-to-the-income-statement", - "readable_id": "introduction-to-the-income-statement" + "slug": "dialogue-for-2", + "readable_id": "dialogue-for-2" }, { "kind": "Video", - "description": "Earnings, EPS (earnings per share) and how they relate to the income statement and balance sheet", - "keywords": "earnings, finance, income, statement, eps, balance, sheet", + "description": "Anti-parabola propoganda, plus musing on math class, cardioids, connect the dots, envelopes of lines, even a bit of origami.\n\nExtra points to a certain Andrea whose line-enveloped Hilbert curve inspired me to finish this video.", + "keywords": "mathematics, doodling, parabola, cardioid, conic section, hyperbola, ellipse, math, art", "related_exercise": null, - "youtube_id": "RouNXdkC0do", - "duration": 614, - "title": "Earnings and EPS", - "path": "/finance-economics/valuation-and-investing/v/earnings-and-eps/", + "youtube_id": "v-pyuaThp-c", + "duration": 467, + "title": "Doodling in Math Class: Connecting Dots", + "path": "/math/vi-hart/v/doodling-in-math-class--connecting-dots/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/RouNXdkC0do.mp4/RouNXdkC0do.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/RouNXdkC0do.mp4/RouNXdkC0do.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/RouNXdkC0do.m3u8/RouNXdkC0do.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/v-pyuaThp-c.mp4/v-pyuaThp-c.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/v-pyuaThp-c.mp4/v-pyuaThp-c.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v-pyuaThp-c.m3u8/v-pyuaThp-c.m3u8" }, - "slug": "earnings-and-eps", - "readable_id": "earnings-and-eps" + "slug": "doodling-in-math-class--connecting-dots", + "readable_id": "doodling-in-math-class--connecting-dots" }, { "kind": "Video", - "description": "Price to Earnings Ration (or P/E ratio).", - "keywords": "investing, price, earnings, ratio, finance, stock", + "description": "Hooraaaay flexagons! Next hexaflexagon video in one week. Happy October!More info coming soon.", + "keywords": "", "related_exercise": null, - "youtube_id": "cppxO67e6eo", - "duration": 887, - "title": "Introduction to the Price-to-Earnings Ratio", - "path": "/finance-economics/valuation-and-investing/v/introduction-to-the-price-to-earnings-ratio/", + "youtube_id": "VIVIegSt81k", + "duration": 248, + "title": "Hexaflexagons", + "path": "/math/vi-hart/v/hexaflexagons/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/cppxO67e6eo.mp4/cppxO67e6eo.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/cppxO67e6eo.mp4/cppxO67e6eo.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/cppxO67e6eo.m3u8/cppxO67e6eo.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VIVIegSt81k.mp4/VIVIegSt81k.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/VIVIegSt81k.mp4/VIVIegSt81k.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VIVIegSt81k.m3u8/VIVIegSt81k.m3u8" }, - "slug": "introduction-to-the-price-to-earnings-ratio", - "readable_id": "introduction-to-the-price-to-earnings-ratio" + "slug": "hexaflexagons", + "readable_id": "hexaflexagons" }, { "kind": "Video", - "description": "Discussion of the price-to-earnings ratio", - "keywords": "price, to, earnings, p/e, stocks, investing, valuation", + "description": "This video is based on, and in honor of, Martin Gardner's column from 1956, \"Hexaflexagons,\" which can be found here: http://maa.org/pubs/focus/Gardner_Hexaflexagons12_1956.pdf. For more information, see the top comment below.", + "keywords": "", "related_exercise": null, - "youtube_id": "V-rko8jgJ9o", - "duration": 934, - "title": "P/E Discussion", - "path": "/finance-economics/valuation-and-investing/v/p-e-discussion/", + "youtube_id": "paQ10POrZh8", + "duration": 285, + "title": "Hexaflexagons 2", + "path": "/math/vi-hart/v/hexaflexagons-2/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/V-rko8jgJ9o.mp4/V-rko8jgJ9o.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/V-rko8jgJ9o.mp4/V-rko8jgJ9o.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/V-rko8jgJ9o.m3u8/V-rko8jgJ9o.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/paQ10POrZh8.mp4/paQ10POrZh8.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/paQ10POrZh8.mp4/paQ10POrZh8.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/paQ10POrZh8.m3u8/paQ10POrZh8.m3u8" }, - "slug": "p-e-discussion", - "readable_id": "p-e-discussion" + "slug": "hexaflexagons-2", + "readable_id": "hexaflexagons-2" }, { "kind": "Video", - "description": "A discussion of the various ways to measure return on assets", - "keywords": "roa, return, on, assets", + "description": "Don't let a flexigatastrophe happen to you! Happy Hexaflexagon Month, in honor of Martin Gardner. Yes, we've been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on Oct. 21, but be sure to flex responsibly.This is my third hexaflexagon video this month. The first two are also awesome.Hexaflexagons: http://youtu.be/VIVIegSt81k Hexaflexagons 2: http://youtu.be/paQ10POrZh8To learn more about flexagons, Martin Gardner, or hosting a hexaflexagon party, go here: http://www.puzzles.com/hexaflexagonI stole the \"hexaflexadyslexia\" joke from @matthetube: https://twitter.com/matthetube/status/255446894128529408I'm @vihartvihart. Happy Flexing!", + "keywords": "", "related_exercise": null, - "youtube_id": "Oh4H3BJX1ZI", - "duration": 631, - "title": "ROA Discussion 1", - "path": "/finance-economics/valuation-and-investing/v/roa-discussion-1/", + "youtube_id": "AmN0YyaTD60", + "duration": 249, + "title": "Hexaflexagon Safety Guide", + "path": "/math/vi-hart/v/hexaflexagon-safety-guide/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/Oh4H3BJX1ZI.mp4/Oh4H3BJX1ZI.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/Oh4H3BJX1ZI.mp4/Oh4H3BJX1ZI.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/Oh4H3BJX1ZI.m3u8/Oh4H3BJX1ZI.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/AmN0YyaTD60.mp4/AmN0YyaTD60.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/AmN0YyaTD60.mp4/AmN0YyaTD60.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/AmN0YyaTD60.m3u8/AmN0YyaTD60.m3u8" }, - "slug": "roa-discussion-1", - "readable_id": "roa-discussion-1" + "slug": "hexaflexagon-safety-guide", + "readable_id": "hexaflexagon-safety-guide" }, { "kind": "Video", - "description": "More on the return on asset discussion.", - "keywords": "return, on, asset, roa", + "description": "Might as well.", + "keywords": "marquee", "related_exercise": null, - "youtube_id": "R_5slDeVCQk", - "duration": 617, - "title": "ROA Discussion 2", - "path": "/finance-economics/valuation-and-investing/v/roa-discussion-2/", + "youtube_id": "GTwrVAbV56o", + "duration": 165, + "title": "Flex Mex", + "path": "/math/vi-hart/v/flex-mex/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/R_5slDeVCQk.mp4/R_5slDeVCQk.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/R_5slDeVCQk.mp4/R_5slDeVCQk.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/R_5slDeVCQk.m3u8/R_5slDeVCQk.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/GTwrVAbV56o.mp4/GTwrVAbV56o.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/GTwrVAbV56o.mp4/GTwrVAbV56o.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/GTwrVAbV56o.m3u8/GTwrVAbV56o.m3u8" }, - "slug": "roa-discussion-2", - "readable_id": "roa-discussion-2" + "slug": "flex-mex", + "readable_id": "flex-mex" }, { "kind": "Video", - "description": "Depreciation a capital asset", - "keywords": "accounting, depreciation, and, amortization, income, statement", + "description": "With Thanksgiving just around the corner here in the US, it is important to know how to arrange mathed potatoes on your plate for maximum gravy. Also shown are bread spheres, butter prism, and gelatinous cranberry cylinder. \n\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", + "keywords": "", "related_exercise": null, - "youtube_id": "a5sFUXkxyGc", - "duration": 753, - "title": "Depreciation", - "path": "/finance-economics/valuation-and-investing/v/depreciation/", + "youtube_id": "F5RyVWI4Onk", + "duration": 157, + "title": "Optimal Potatoes", + "path": "/math/vi-hart/v/optimal-potatoes/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/a5sFUXkxyGc.mp4/a5sFUXkxyGc.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/a5sFUXkxyGc.mp4/a5sFUXkxyGc.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/a5sFUXkxyGc.m3u8/a5sFUXkxyGc.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/F5RyVWI4Onk.mp4/F5RyVWI4Onk.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/F5RyVWI4Onk.mp4/F5RyVWI4Onk.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/F5RyVWI4Onk.m3u8/F5RyVWI4Onk.m3u8" }, - "slug": "depreciation", - "readable_id": "depreciation" + "slug": "optimal-potatoes", + "readable_id": "optimal-potatoes" }, { "kind": "Video", - "description": "Introduction to amortization", - "keywords": "depreciation, amortization, accounting, investing", + "description": "This Thanksgiving, make sure your table isn't missing the all-important green bean matherole. Pick your favorite vector field and have at it!\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", + "keywords": "", "related_exercise": null, - "youtube_id": "XfR3JSkSkJM", - "duration": 465, - "title": "Amortization", - "path": "/finance-economics/valuation-and-investing/v/amortization/", + "youtube_id": "XwIs1nlDQ2I", + "duration": 230, + "title": "Green Bean Matherole", + "path": "/math/vi-hart/v/green-bean-matherole/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XfR3JSkSkJM.mp4/XfR3JSkSkJM.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/XfR3JSkSkJM.mp4/XfR3JSkSkJM.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XfR3JSkSkJM.m3u8/XfR3JSkSkJM.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/XwIs1nlDQ2I.mp4/XwIs1nlDQ2I.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/XwIs1nlDQ2I.mp4/XwIs1nlDQ2I.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/XwIs1nlDQ2I.m3u8/XwIs1nlDQ2I.m3u8" }, - "slug": "amortization", - "readable_id": "amortization" + "slug": "green-bean-matherole", + "readable_id": "green-bean-matherole" }, { "kind": "Video", - "description": "A situation where the price to earnings ratio seems to not fairly price an asset", - "keywords": "asset, p/e, enterprise, value, valuation", + "description": "Borromean Onion Rings, the perfect way to top your Green Bean Matherole! Borromean onion rings were invented by special guest Marc ten Bosch (http://marctenbosch.com). Also shown are gelatinous cranberry cylinder, bread spheres and butter prism, mathed potatoes, apple pie, and pumpkin tau.\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nTurduckenen-duckenen: http://youtu.be/pjrI91J6jOw", + "keywords": "", "related_exercise": null, - "youtube_id": "VrFbXxkl9JU", - "duration": 821, - "title": "P/E Conundrum", - "path": "/finance-economics/valuation-and-investing/v/p-e-conundrum/", + "youtube_id": "4tsjCND2ZfM", + "duration": 132, + "title": "Borromean Onion Rings", + "path": "/math/vi-hart/v/borromean-onion-rings/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/VrFbXxkl9JU.mp4/VrFbXxkl9JU.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/VrFbXxkl9JU.mp4/VrFbXxkl9JU.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/VrFbXxkl9JU.m3u8/VrFbXxkl9JU.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/4tsjCND2ZfM.mp4/4tsjCND2ZfM.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/4tsjCND2ZfM.mp4/4tsjCND2ZfM.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/4tsjCND2ZfM.m3u8/4tsjCND2ZfM.m3u8" }, - "slug": "p-e-conundrum", - "readable_id": "p-e-conundrum" + "slug": "borromean-onion-rings", + "readable_id": "borromean-onion-rings" }, { "kind": "Video", - "description": "Solving the P/E conundrum by looking at a different valuation metric (enterprise value)", - "keywords": "enterprise, value, EV, ebitda, operating, income, valuation", + "description": "Forget turducken... I'm stuffing my turkey with two ducks, stuffed with four hens, stuffed with eight quail eggs. Honestly, I do not recommend trying this yourself.\n\nSo what's your favourite naming scheme: breadth-first, depth-first, or inordered binary tree traversal?\n\nMathed Potatoes: http://youtu.be/F5RyVWI4Onk\nGreen Bean Matherole: http://youtu.be/XwIs1nlDQ2I\nBorromean Onion Rings: http://youtu.be/4tsjCND2ZfM", + "keywords": "marquee", "related_exercise": null, - "youtube_id": "pa92UdJCaos", - "duration": 1049, - "title": "Enterprise Value", - "path": "/finance-economics/valuation-and-investing/v/enterprise-value/", + "youtube_id": "pjrI91J6jOw", + "duration": 254, + "title": "Thanksgiving Turduckenen-duckenen", + "path": "/math/vi-hart/v/thanksgiving-turduckenen-duckenen/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/pa92UdJCaos.mp4/pa92UdJCaos.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/pa92UdJCaos.mp4/pa92UdJCaos.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pa92UdJCaos.m3u8/pa92UdJCaos.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/pjrI91J6jOw.mp4/pjrI91J6jOw.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/pjrI91J6jOw.mp4/pjrI91J6jOw.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/pjrI91J6jOw.m3u8/pjrI91J6jOw.m3u8" }, - "slug": "enterprise-value", - "readable_id": "enterprise-value" + "slug": "thanksgiving-turduckenen-duckenen", + "readable_id": "thanksgiving-turduckenen-duckenen" }, { "kind": "Video", - "description": "Review of Enterprise Value and comparing it to EBITDA", - "keywords": "earnings, before, interest, taxes, depreciation, amortization, EBITDA", + "description": "Unusual variations on the paper snowflake.", + "keywords": "", "related_exercise": null, - "youtube_id": "v4Fq9LEspzw", - "duration": 847, - "title": "EBITDA", - "path": "/finance-economics/valuation-and-investing/v/ebitda/", + "youtube_id": "8EmhGOQ-DNQ", + "duration": 244, + "title": "Snowflakes, Starflakes, and Swirlflakes", + "path": "/math/vi-hart/v/snowflakes--starflakes--and-swirlflakes/", "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/v4Fq9LEspzw.mp4/v4Fq9LEspzw.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/v4Fq9LEspzw.mp4/v4Fq9LEspzw.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/v4Fq9LEspzw.m3u8/v4Fq9LEspzw.m3u8" + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/8EmhGOQ-DNQ.mp4/8EmhGOQ-DNQ.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/8EmhGOQ-DNQ.mp4/8EmhGOQ-DNQ.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/8EmhGOQ-DNQ.m3u8/8EmhGOQ-DNQ.m3u8" }, - "slug": "ebitda", - "readable_id": "ebitda" + "slug": "snowflakes--starflakes--and-swirlflakes", + "readable_id": "snowflakes--starflakes--and-swirlflakes" } ], "hide": false, - "title": "Valuation and Investing", + "title": "Vi Hart", "contains": [ "Topic", "Video" ], - "id": "valuation-and-investing", - "description": "Building blocks and case studies on the financial analysis and valuation of public equities.", - "topic_page_url": "/finance-economics/valuation-and-investing", - "extended_slug": "finance-economics/valuation-and-investing", - "slug": "valuation-and-investing", + "id": "vi-hart", + "description": "Recreational mathematics and inspirational videos by resident mathemusician Vi Hart", + "topic_page_url": "/math/vi-hart", + "extended_slug": "math/vi-hart", + "slug": "vi-hart", "kind": "Topic" - }, + } + ], + "hide": false, + "title": "Math", + "contains": [ + "Topic", + "Video", + "Exercise" + ], + "id": "math", + "description": null, + "topic_page_url": null, + "extended_slug": "math", + "slug": "math", + "kind": "Topic" + }, + { + "path": "/science/", + "children": [ { - "path": "/finance-economics/venture-capital-and-capital-markets/", + "path": "/science/biology/", "children": [ { - "kind": "Video", - "description": "Raising money from an angel investor. 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Going back for another round with a series B financing.", - "keywords": "venture, capital, financing, series", - "related_exercise": null, - "youtube_id": "m28RAgUySGQ", - "duration": 714, - "title": "Going back to the till: Series B", - "path": "/finance-economics/venture-capital-and-capital-markets/v/going-back-to-the-till--series-b/", - "download_urls": { - "mp4": "http://s3.amazonaws.com/KA-youtube-converted/m28RAgUySGQ.mp4/m28RAgUySGQ.mp4", - "png": "http://s3.amazonaws.com/KA-youtube-converted/m28RAgUySGQ.mp4/m28RAgUySGQ.png", - "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/m28RAgUySGQ.m3u8/m28RAgUySGQ.m3u8" - }, - "slug": "going-back-to-the-till--series-b", - "readable_id": "going-back-to-the-till--series-b" + "path": "/science/biology/evolution-and-natural-selection/", + "children": [ + { + "kind": "Video", + "description": "Introduction to evolution, variation in a population and natural selection", + "keywords": "evolution, natural, selection, variation, biology", + 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"path": "/science/biology/evolution-and-natural-selection/v/intelligent-design-and-evolution/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/qxOEz9aPZNY.mp4/qxOEz9aPZNY.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/qxOEz9aPZNY.mp4/qxOEz9aPZNY.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/qxOEz9aPZNY.m3u8/qxOEz9aPZNY.m3u8" + }, + "slug": "intelligent-design-and-evolution", + "readable_id": "intelligent-design-and-evolution" + }, + { + "kind": "Video", + "description": "Clarifying some points on evolution and intelligent design", + "keywords": "biology, intelligent, design", + "related_exercise": null, + "youtube_id": "nh1R-gyY7es", + "duration": 541, + "title": "Evolution Clarification", + "path": "/science/biology/evolution-and-natural-selection/v/evolution-clarification/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/nh1R-gyY7es.mp4/nh1R-gyY7es.mp4", + "png": 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Rishi is a pediatric infectious disease physician and works at Khan Academy.", + "keywords": "", + "related_exercise": null, + "youtube_id": "JRrm8TfBj1c", + "duration": 791, + "title": "Contractility, Ea, and Preload Effects on PV Boxes", + "path": "/science/healthcare-and-medicine/changing-the-PV-loop/v/contractility--ea--and-preload-effects-on-pv-boxes/", + "download_urls": { + "mp4": "http://s3.amazonaws.com/KA-youtube-converted/JRrm8TfBj1c.mp4/JRrm8TfBj1c.mp4", + "png": "http://s3.amazonaws.com/KA-youtube-converted/JRrm8TfBj1c.mp4/JRrm8TfBj1c.png", + "m3u8": "http://s3.amazonaws.com/KA-youtube-converted/JRrm8TfBj1c.m3u8/JRrm8TfBj1c.m3u8" + }, + "slug": "contractility--ea--and-preload-effects-on-pv-boxes", + "readable_id": "contractility--ea--and-preload-effects-on-pv-boxes" + }, + { + "category": "official", + "next_steps": "", + "kind": "Scratchpad", + "user_id": "http://googleid.khanacademy.org/117869032629994357506", + "description": "", + "modified_datetime": "2012-12-15T00:35:43Z", + "tags": [], + "origin_scratchpad_id": 1224182071, + "relative_url": "/cs/pressure-volume-boxes/1228492117", + "trusted_revision": null, + "sort_index": null, + "origin_revision_id": 43003, + "difficulty": 40, + "url": "http://www.khanacademy.org/cs/pressure-volume-boxes/1228492117", + "youtube_id": "", + "id": 1228492117, + "title": "Pressure-Volume Boxes", + "is_published": true, + "type": "scratchpad", + "slug": "pressure-volume-boxes", + "revision": { + "config_version": 3, + "kind": "ScratchpadRevision", + "code": " /****************************************************\n * Explore pressure volume boxes by changing\n * contractility, arterial elastance and preload.\n * \n * Drag the circles to change the parameters\n * \n * Based on this video:\n * http://www.khanacademy.org/science/healthcare-and-medicine/changing-the-PV-loop/v/contractility--ea--and-preload-effects-on-pv-boxes\n *****************************************************/\n\n// Heart parameters\nvar ESPVR_x_intersect = 15;\nvar ESPVR_gradient = 100 / (50 - ESPVR_x_intersect);\nvar ESPVR_colour = color(255, 234, 0);\n\nvar Ea_x_intersect = 125;\nvar Ea_gradient = 100 / (50 - Ea_x_intersect);\nvar Ea_colour = color(140, 0, 255);\n\nvar PVBox_colour1 = color(34, 143, 34);\nvar PVBox_colour2 = color(5, 255, 13, 50);\n\n// Graph display parameters\nvar originX = 60;\nvar originY = 240;\nvar graphWidth = 270;\nvar graphHeight = 200;\nvar maxX = 175;\nvar maxY = 175;\nvar dx = 25;\nvar dy = 25;\nvar scaleX = graphWidth / maxX;\nvar scaleY = graphHeight / maxY;\n\nvar sliderSize = 16;\nvar mouseOverSlider = false;\nvar sliders;\n\nvar findIntersection = function() {\n var grad = ESPVR_gradient / Ea_gradient;\n var x = (Ea_x_intersect - grad * ESPVR_x_intersect) /\n (1 - grad);\n var y = Ea_gradient * (x - Ea_x_intersect);\n return [x, y];\n};\n\nvar getESPVREnd = function() {\n // Given gradient calculate end position\n var theta = atan(ESPVR_gradient);\n var x = (maxX - ESPVR_x_intersect) * cos(theta);\n x += ESPVR_x_intersect;\n var y = (maxX - ESPVR_x_intersect) * sin(theta);\n return [originX + scaleX * x, originY - scaleY * y];\n};\n\nvar getEaEnd = function() {\n // Given gradient calculate end position\n var theta = atan(Ea_gradient);\n var x = Ea_x_intersect * (1 - cos(theta));\n var y = Ea_x_intersect * sin(theta);\n return [originX + scaleX * x, originY + scaleY * y];\n};\n\nvar ESPVRend = getESPVREnd();\nvar ESPVRx = ESPVRend[0];\nvar ESPVRy = ESPVRend[1];\n\nvar EAend = getEaEnd();\nvar EAx = EAend[0];\nvar EAy = EAend[1];\n\n// Sliders\nvar Slider = function(x, y, moveFunc) {\n this.x = x;\n this.y = y;\n this.moveFunc = moveFunc;\n \n this.draw = function() {\n if (mouseOverSlider === this ||\n (mouseX >= this.x - sliderSize/2 &&\n mouseX <= this.x + sliderSize/2 &&\n mouseY >= this.y - sliderSize/2 &&\n mouseY <= this.y + sliderSize/2 &&\n !mouseOverSlider)) {\n fill(160, 160, 160, 200);\n stroke(240, 240, 240);\n mouseOverSlider = this;\n } else {\n fill(160, 160, 160, 100);\n stroke(200, 200, 200, 200);\n if (!mouseIsPressed) {\n mouseOverSlider = false; \n }\n }\n \n strokeWeight(2); \n ellipse(this.x, this.y, sliderSize, sliderSize);\n };\n \n this.move = function() {\n var position = this.moveFunc();\n this.x = position[0];\n this.y = position[1];\n };\n};\n\nvar moveEaIntersect = function() {\n var x = (mouseX - originX) / scaleX;\n var y = 0;\n \n if (x < ESPVR_x_intersect + 1) {\n x = ESPVR_x_intersect + 1;\n } else if (x > maxX) {\n x = maxX;\n }\n Ea_x_intersect = x;\n \n var EAend = getEaEnd();\n EAx = EAend[0];\n EAy = EAend[1];\n sliders[2].x = EAx;\n sliders[2].y = EAy;\n return [originX + scaleX * x, originY];\n};\n\nvar changeContractility = function() {\n var x = (mouseX - originX) / scaleX;\n var y = (originY - mouseY) / scaleY;\n \n if (x < ESPVR_x_intersect + 1) {\n x = ESPVR_x_intersect + 1;\n } else if (x > maxX) {\n x = maxX;\n }\n if (y < 1) {\n y = 1;\n } else if (y > maxY) {\n y = maxY;\n }\n \n ESPVR_gradient = y / (x - ESPVR_x_intersect);\n ESPVRend = getESPVREnd();\n ESPVRx = ESPVRend[0];\n ESPVRy = ESPVRend[1];\n \n return [ESPVRx, ESPVRy];\n};\n\nvar changeElastance = function() {\n var x = (mouseX - originX) / scaleX;\n var y = (originY - mouseY) / scaleY;\n \n if (x < 0) {\n x = 0;\n } else if (x > Ea_x_intersect - 1) {\n x = Ea_x_intersect - 1;\n }\n if (y < 1) {\n y = 1;\n } else if (y > maxY) {\n y = maxY;\n }\n \n Ea_gradient = y / (x - Ea_x_intersect);\n EAend = getEaEnd();\n EAx = EAend[0];\n EAy = EAend[1];\n \n return [EAx, EAy];\n \n};\n\nsliders = [\n new Slider(originX + scaleX * Ea_x_intersect, originY,\n moveEaIntersect),\n new Slider(ESPVRx, ESPVRy, changeContractility), \n new Slider(EAx, EAy, changeElastance)\n];\n\nvar drawPVBox = function() {\n var x1, y1, x2, y2, str;\n \n // PVBox\n strokeWeight(2);\n stroke(PVBox_colour1);\n fill(PVBox_colour2);\n textSize(12);\n textAlign(LEFT, BASELINE);\n \n var intersection = findIntersection();\n \n x1 = originX + intersection[0] * scaleX;\n y1 = originY - intersection[1] * scaleY;\n x2 = originX + Ea_x_intersect * scaleX;\n rect(x1, y1, x2- x1, originY - y1);\n \n // ESPVR\n stroke(ESPVR_colour);\n fill(ESPVR_colour);\n x1 = originX + ESPVR_x_intersect * scaleX;\n line(x1, originY-1, ESPVRx, ESPVRy);\n text(\"ESPVR\", ESPVRx+sliderSize/2 + 3, ESPVRy);\n \n // Ea\n stroke(Ea_colour);\n fill(Ea_colour);\n x1 = originX + Ea_x_intersect * scaleX;\n line(x1, originY-1, EAx, EAy);\n text(\"Ea\", EAx+sliderSize/2 + 3, EAy);\n \n // End-systolic pressure\n strokeWeight(1);\n stroke(PVBox_colour1);\n fill(PVBox_colour1);\n \n var PesX = originX + graphWidth + 10; \n line(PesX, y1, PesX, originY-1);\n line(PesX-2, y1, PesX+2, y1);\n line(PesX-2, originY, PesX+2, originY);\n \n var p = \"P\";\n text(p, PesX+4, (originY + y1)/2 - 10);\n textSize(10);\n text(\"ES\", PesX+4+textWidth(p), (originY + y1)/2 - 6);\n textSize(11);\n str = round(intersection[1]) + \" mmHg\";\n text(str, PesX+4, (originY + y1)/2 + 10);\n \n // Stroke volume\n x1 = originX + intersection[0] * scaleX;\n x2 = originX + Ea_x_intersect * scaleX;\n var SVy = originY - graphHeight - 12;\n var strokeVolume = Ea_x_intersect - intersection[0];\n line(x1, SVy, x2, SVy);\n line(x1, SVy-2, x1, SVy+2);\n line(x2, SVy-2, x2, SVy+2);\n \n textSize(11);\n textAlign(CENTER, BASELINE);\n str = \"Stroke volume: \" + round(strokeVolume) + \" mL\";\n text(str, (x1+x2)/2, SVy-6);\n \n // Information text\n var y = 315;\n textSize(15);\n fill(ESPVR_colour);\n var contractility = round(ESPVR_gradient * 100) / 100;\n text(\"Contractility = \" + contractility, 200, y);\n y += 20;\n \n fill(Ea_colour);\n var elastance = intersection[1] / strokeVolume;\n str = \"Arterial elastance = \" + round(100*elastance)/100;\n text(str, 200, y);\n y += 20;\n \n fill(Ea_colour);\n str = \"Preload = \" + round(Ea_x_intersect);\n text(str, 200, y);\n y += 20;\n \n fill(PVBox_colour1);\n var work = intersection[1] * strokeVolume;\n var joules = work * 0.1333/1000;\n str = \"Stroke work = \" + round(work) + \" mmHg.mL\";\n str +=\" (\" + round(100*joules)/100 + \" joules)\";\n text(str , 200, y);\n};\n\nvar drawGraph = function() {\n var x, y, x1, y1, x2, y2;\n \n // Gridlines\n strokeWeight(1);\n stroke(30, 30, 32);\n \n for (x = 0; x <= maxX; x += dx) {\n x1 = originX + scaleX * x;\n line(x1, originY-graphHeight, x1, originY);\n }\n \n for (y = 0; y <= maxY; y += dy) {\n y1 = originY - scaleY * y;\n line(originX, y1, originX+graphWidth, y1);\n }\n \n // Draw lines\n drawPVBox();\n \n // Axes\n stroke(250, 250, 255);\n strokeWeight(1);\n line(originX, originY - graphHeight, originX, originY);\n line(originX, originY, originX + graphWidth, originY);\n \n // Axis units\n textSize(11);\n textAlign(CENTER, 1);\n fill(250, 250, 255);\n \n for (x = 0; x <= maxX; x += dx) {\n x1 = originX + scaleX * x;\n text(x, x1, originY + 19);\n line(x1, originY, x1, originY + 5);\n }\n \n textAlign(RIGHT, 1);\n for (y = 0; y <= maxY; y += dy) {\n y1 = originY - scaleY * y;\n text(y, originX - 7, y1 + 4);\n line(originX, y1, originX - 4, y1);\n }\n \n // Axis labels\n textAlign(CENTER, 1);\n textSize(15);\n text(\"Volume (mL)\", originX + graphWidth/2, originY+38);\n \n translate(originX - 34, originY - graphHeight/2);\n rotate(270);\n text(\"Pressure (mmHg)\", 0, 0);\n resetMatrix(); \n};\n\nvar draw = function() {\n background(0, 0, 0);\n drawGraph();\n \n for (var i=0; i Date: Tue, 8 Jan 2013 18:39:57 -0800 Subject: [PATCH 8/8] Use .png image for all thumbnail contexts; don't need the .jpg anymore. --- kalite/static/css/khan-lite.css | 11 +++++++++++ kalite/templates/exercise.html | 3 ++- kalite/utils/videos.py | 17 ++++++----------- 3 files changed, 19 insertions(+), 12 deletions(-) diff --git a/kalite/static/css/khan-lite.css b/kalite/static/css/khan-lite.css index 1eae7cab9f..5fadafb593 100755 --- a/kalite/static/css/khan-lite.css +++ b/kalite/static/css/khan-lite.css @@ -480,3 +480,14 @@ li .progress-circle { margin-left: -5px; margin-right: -5px; } + +.thumb { + overflow: hidden; + position: relative; +} + +.thumb .thumbimage { + position: absolute; + width: 200px; + z-index: -10; +} \ No newline at end of file diff --git a/kalite/templates/exercise.html b/kalite/templates/exercise.html index c07c3ce5d1..a2b1154dd0 100644 --- a/kalite/templates/exercise.html +++ b/kalite/templates/exercise.html @@ -141,7 +141,8 @@

  • -
    +
    +
    diff --git a/kalite/utils/videos.py b/kalite/utils/videos.py index 03410b3517..f25b658216 100644 --- a/kalite/utils/videos.py +++ b/kalite/utils/videos.py @@ -91,19 +91,14 @@ def download_video(youtube_id, format="mp4", callback=None): filepath = download_path + video_filename url = download_url % (video_filename, video_filename) - large_thumb_filename = "%(id)s.png" % {"id": youtube_id} - large_thumb_filepath = download_path + large_thumb_filename - large_thumb_url = download_url % (video_filename, large_thumb_filename) - - thumb_filepath = download_path + youtube_id + ".jpg" - thumb_url = "http://img.youtube.com/vi/%(id)s/hqdefault.jpg" % {"id": youtube_id} - + thumb_filename = "%(id)s.png" % {"id": youtube_id} + thumb_filepath = download_path + thumb_filename + thumb_url = download_url % (video_filename, thumb_filename) + try: - download_file(url, filepath, callback_percent_proxy(callback, end_percent=91)) + download_file(url, filepath, callback_percent_proxy(callback, end_percent=95)) - download_file(large_thumb_url, large_thumb_filepath, callback_percent_proxy(callback, start_percent=91, end_percent=96)) - - download_file(thumb_url, thumb_filepath, callback_percent_proxy(callback, start_percent=96, end_percent=100)) + download_file(thumb_url, thumb_filepath, callback_percent_proxy(callback, start_percent=95, end_percent=100)) except DownloadCancelled: delete_downloaded_files(youtube_id)