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+
+***Φ(10,2) = 10² + 2x(10th prime) + 10¹ = 100+29 + 29+10 = 129 + 39 = 168 = π(1000)***
+
+```
+Φ = 2,10
+Δ = 5,7,17
+3': 13,18,25,42
+2' » 13 to 77, Δ = 64
+2' and 3' » 13 to 45, Δ = 32
+
+2" + 5" = 7" = 77
+2"=22, 3"=33, 2" + 3" = 5" = 55
+
+13, 16, 18, 21, 23, 25, 28, 30, 32, 34, 
+36, 38, 40, 42, 
+45, 47, 49, 51, 53, 
+55, 57, 59, 61, 
+63, 65, 67, 69, 71, 73, 75, 77
+
+```
+
+![default](https://user-images.githubusercontent.com/36441664/100138286-651e1180-2ec0-11eb-9b27-ec206498380f.jpg)
+
+The DNA base consists of 2 groups that are in pairs between Sugar and pospat with nucleotides. Let's weighting between the two. Each of these pospats consists of three (3) groups with five (5) oxygen bonds. This sugar and pospat forms a system that moves from 5' to 3' which is anti-parallel with movement at the other end which is 3' to 5'.
+
+![default](https://user-images.githubusercontent.com/36441664/101623118-8d724800-3a4a-11eb-8773-e2fb0033fa4b.png)
+
+Each oxygen test has 2 electrons, so each group I give a weight of 2x5 or ten (10) so the total is 30. Sugar molecules are not groups so the weight is five (5) so that with a weight of 30 out of pospat the total is 35. Since there is a pair then the total is 70. Next we unite the format with nucleotides A,T,G,C paired 9+6 and 6+9 totaling 30 then the format of both is (70,30).
+
+```
+  #8 |----------- 5® --------|------------ 7® --------------|
+     |  1  |---------------- 77 = 4² + 5² + 6² -------------|
+-----+-----|-----+---+---+---+---+---+---+---+----+----+----+
+ repo| {1} | {2} | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |{12}| 1,77
+-----+-----|-----+---+---+---+---+---+---+---+----+----+----+
+ user|  7  |  -  | - | - | - | 7 | 8 | - | - |  8 |  8 |  3 |
+-----+-----|-----+---+---+---+---+---+---+---+----+----+----+ 7,78
+ main|  -  |  9  | 7 | 9 | 6 | - | - | 8 | 5 |  - |  - |  - |
+-----+-----|-----+---+---+---+---+---+---+---+----+----+----+
+               Δ | Δ             |                       Δ  |   Δ
+              Φ17|Φ29            |                     96-99|  100 - 123 ({24})
+                 |--- A,T,G,C ---|                          |  └── 100 - 103 (4x) » 100
+                 Δ    2x2 = 4x   |-------  2x3 = 6x  -------|  └── 104 - 109 (6x) » 30
+                {98}                                        |  └── 110 - 123 (14x)» 70
+```
+
+Here we unite with the whole bond which of course is the number of the two, namely 100, then the sum of the DNA bases, namely Pospat, Sugar and Nukeotides is 200 with the format (70,30,100).
+
+***(2x5x7,2x3x5,2²x5²) = (14x5,15x2,20x5) = (70,30,100)***
+
+![default](https://user-images.githubusercontent.com/36441664/101109773-3c0d2780-360a-11eb-9f21-57e2707c7d1e.jpg)
+
+![](https://user-images.githubusercontent.com/36441664/84743781-9d99f500-afdc-11ea-8377-e0ecee9537ea.gif)
+
+***114 - 102 = 12 » {1} & {2}***
+
+[![default](https://user-images.githubusercontent.com/8466209/198813482-ac274a00-c025-46ce-9374-f9bcb0c3fd32.png)](https://github.com/jeffreytse/jekyll-deploy-action)
+
+![default](https://user-images.githubusercontent.com/8466209/198410440-cb9003b9-ae7e-4637-aa5e-dcf968f9cb4f.png)
+
+![default](https://user-images.githubusercontent.com/8466209/198940479-9a0d3ad0-b502-4df4-8093-fdac8e275552.png)
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+
+![cubes](https://user-images.githubusercontent.com/8466209/205804217-313e8f74-56d1-4401-be92-e3d3c95da055.jpg)
+
+![prime](https://user-images.githubusercontent.com/36441664/87958552-dea18f80-cadb-11ea-9499-6c2ee580a5ca.png)
+
+![ulam](https://upload.wikimedia.org/wikipedia/commons/2/25/Hexgrid_prime_number_spiral.svg)
+[![default](https://user-images.githubusercontent.com/8466209/205531184-66086f89-ee4b-4536-9e22-9b1dc946b21e.png)](https://gist.github.com/eq19/f78d4470250720fb18111165564d555f#file-default-md)
+
+![lexer](https://user-images.githubusercontent.com/8466209/204159538-6f87b60c-6a32-486d-aa55-c9af2db7eda6.png)
diff --git a/exponentiation/span14/gist03.html b/exponentiation/span14/gist03.html
diff --git a/exponentiation/span14/gist03.md b/exponentiation/span14/gist03.md
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+```liquid
+  -----------------------+----+----+----+----+----+----+----+----+----+-----
+   True Prime Pairs Δ    |  1 |  2 |  3 |  4 |  5 |  6 |  7 |  8 |  9 | Sum 
+  =======================+====+====+====+====+====+====+====+====+====+=====
+   19 → π(10)            |  2 |  3 |  5 |  7 |  - |  - |  - |  - |  - | 4th  → base (30)
+  -----------------------+----+----+----+----+----+----+----+----+----+-----
+   17 → π(20)            | 11 | 13 | 17 | 19 |  - |  - |  - |  - |  - | 8th  → maps (31)
+  -----------------------+----+----+----+----+----+----+----+----+----+-----
+   13 → π(30) → 12 (Δ1)  | 23 | 29 |  - |  - |  - |  - |  - |  - |  - |10th  → feed (32)
+  =======================+====+====+====+====+====+====+====+====+====+===== 
+   11 → π(42)            | 31 | 37 | 41 |  - |  - |  - |  - |  - |  - |13th  → lexer (33)
+  -----------------------+----+----+----+----+----+----+----+----+----+----- 
+    7 → π(60) → 19 (Δ12) | 43 | 47 | 53 | 59 |  - |  - |  - |  - |  - |17th  → parser (34)
+  -----------------------+----+----+----+----+----+----+----+----+----+----- 
+    5 → π(72) → 18 (Δ13) | 61 | 67 | 71 |  - |  - |  - |  - |  - |  - |20th  → syntax (35)
+  =======================+====+====+====+====+====+====+====+====+====+===== 
+    3,2 → 18+13+12 → 43  | 73 | 79 | 83 | 89 | 97 | 101| 103| 107| 109|29th  → grammar (36)        
+  =======================+====+====+====+====+====+====+====+====+====+=====
+           Δ                                                            Δ
+  12+13+(18+18)+13+12   ← 36th-Δ1=151-1=150=100+2x(13+12)   ←   30th = 113 = 114-1
+  ```
+
+![2022-12-06 (2)](https://user-images.githubusercontent.com/8466209/205963196-7e1f4fc3-1833-4b64-9fb4-f79e6cd4637f.png)
+
+![2022-12-06 (3)](https://user-images.githubusercontent.com/8466209/205964436-c9636678-6679-48f7-938a-e307912600ef.png)
+
+![2022-12-06 (1)](https://user-images.githubusercontent.com/8466209/205947618-ef28a677-f961-4b78-9e79-e8a9ffe824c5.png)
+
+![2022-12-06 (1)](https://user-images.githubusercontent.com/8466209/205960400-3061d93a-b3cc-4cd6-84e6-359a9314869d.png)
diff --git a/exponentiation/span14/gist04.html b/exponentiation/span14/gist04.html
diff --git a/exponentiation/span14/gist04.md b/exponentiation/span14/gist04.md
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+![2022-12-06 (5)](https://user-images.githubusercontent.com/8466209/205967762-69f6aaee-f1fc-4b26-a0cc-515257b6d9e7.png)
+
+![2022-12-06 (4)](https://user-images.githubusercontent.com/8466209/205967707-254fc836-72f4-45fc-9d0e-90c5e0bda465.png)
+
+![2022-12-10 (1)](https://user-images.githubusercontent.com/8466209/206849387-d530c690-c1ed-4496-9748-355f798d44fa.png)
diff --git a/exponentiation/span14/gist05.html b/exponentiation/span14/gist05.html
diff --git a/exponentiation/span14/gist05.md b/exponentiation/span14/gist05.md
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+```liquid
+1st layer:
+It has a total of 1000 numbers
+Total primes = π(1000) = 168 primes
+
+2nd layer:
+It will start by π(168)+1 as the 40th prime
+It has 100x100 numbers or π(π(10000)) = 201 primes
+Total cum primes = 168 + (201-40) = 168+161 = 329 primes
+
+3rd layer:
+Behave the same as 2nd layer which has a total of 329 primes
+The primes will start by π(π(π(1000th prime)))+1 as the 40th prime
+This 1000 primes will become 1000 numbers by 1st layer of the next level
+Total of all primes = 329 + (329-40) = 329+289 = 618 = 619-1 = 619 primes - Δ1 
+```
+
+The 619 is the **114th prime**. It has the last index of 6 with the prime 19 where as **6x19** is also 114. When we multiply the 114 [minor hexagon](https://www.hexspin.com/minor-hexagons/) again by six (6) minus the duplicaton within those layers we got 684-30-30-5 = 684-65 which is also 619.
+
+[![metatron](https://user-images.githubusercontent.com/8466209/90985852-ca542500-e5a8-11ea-9027-9bfdcbe37966.jpg)](https://gist.github.com/eq19/0ce5848f7ad62dc46dedfaa430069857#file-1_prime-md)
+
+[![gannchart](https://user-images.githubusercontent.com/8466209/206868681-2cddf780-48f1-4dc5-9ef4-981b402a15d5.png)
+](https://gist.github.com/eq19/80c8098f16f3e6ca06893b17a02d910e#file-mapping-md)
+
+Despite the correlation between the bilateral 9 sums with the Fibonacci sequence, some people has discovered many things. The sequence of ***(55, 89, 144)*** shows an almost mystical power by its mysterious accuracy in nature and even _[in trading](https://www.tradingsim.com/day-trading/fibonacci-trading)_.
+
+[![image](https://user-images.githubusercontent.com/8466209/216902149-2d017e85-3d95-4484-bc6c-59a4b2079137.png)](https://www.tradingsim.com/day-trading/fibonacci-trading)
+
+![2022-12-10](https://user-images.githubusercontent.com/8466209/206884467-05a33d48-5cdc-48fd-9b75-5be406100f06.png)
+
+[![cycle](https://user-images.githubusercontent.com/8466209/205531184-66086f89-ee4b-4536-9e22-9b1dc946b21e.png)](https://gist.github.com/eq19/f78d4470250720fb18111165564d555f#file-default-md)
+
+![2022-12-14 (1)](https://user-images.githubusercontent.com/8466209/207418457-4db2048d-e003-492d-a78c-bc2ded725c74.png)
diff --git a/exponentiation/span14/gist06.html b/exponentiation/span14/gist06.html
diff --git a/exponentiation/span14/gist06.md b/exponentiation/span14/gist06.md
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+![gotek](https://user-images.githubusercontent.com/36441664/123180870-57f8ed80-d4b6-11eb-89e1-cf8786d0dc14.jpg)
+
+![2022-12-11](https://user-images.githubusercontent.com/8466209/206888301-0ba40a6a-2caa-4dfe-92ef-5a9db590f85d.png)
+
+![io](https://user-images.githubusercontent.com/36441664/123179535-cd16f380-d4b3-11eb-95c3-0a5b7ef21ad4.jpg)
+
+![floppies](https://user-images.githubusercontent.com/36441664/123187010-84ffcd00-d4c3-11eb-8aad-6c40553b752b.png)
+
+[![2022-12-11 (1)](https://user-images.githubusercontent.com/8466209/206888720-159281ee-1f74-4684-aca3-963dd3c882ab.png)](https://docs.github.com/en/actions/learn-github-actions/usage-limits-billing-and-administration#usage-limits)
+
+![neural](https://user-images.githubusercontent.com/36441664/123424569-377e7f80-d5eb-11eb-9c85-1f5d72f14eed.png)
diff --git a/exponentiation/span14/gist07.html b/exponentiation/span14/gist07.html
diff --git a/exponentiation/span14/gist07.md b/exponentiation/span14/gist07.md
@@ -0,0 +1,37 @@
+```
+---+-----+-----
+ 1 | 1   | 4
+---+-----+-----
+ 2 |{5}  |{8}
+---+-----+-----
+ 3 | 9   |{17}
+---+-----+-----
+ 4 |{18} |{23}
+---+-----+-----
+ 5 | 24  | 27
+---+-----+-----
+ 6 | 28  | 34
+---+-----+-----
+ 7 |{35} |{41}
+---+-----+-----
+ 8 |{42} |{52}
+---+-----+-----
+```
+
+![](https://user-images.githubusercontent.com/36441664/85040788-5e71cc80-b1b3-11ea-962f-cf26ee3419e2.jpg)
+
+![](https://user-images.githubusercontent.com/36441664/84902333-e6ce6f80-b0d6-11ea-8289-aac5e1961cd6.gif)
+
+![equilateral](https://user-images.githubusercontent.com/8466209/205804972-0570afbc-3781-473c-bdc7-5e6927351de5.gif)
+
+![](https://user-images.githubusercontent.com/36441664/85527369-044e8c80-b635-11ea-8f32-25a6b813a9b1.gif)
+
+![](https://user-images.githubusercontent.com/36441664/85907724-ae4c3580-b83c-11ea-85c5-c9c20e13bd08.png)
+
+![](https://user-images.githubusercontent.com/36441664/85039712-32098080-b1b2-11ea-80f0-3e7e767a2ba1.jpg)
+
+>This is the equation which governs the flow of fluids such as water and air. However, there is no proof for the most basic questions one can ask: do solutions exist, and are they unique? Why ask for a proof? Because a proof gives not only certitude, but also understanding. _([Clay Institute](https://www.claymath.org/millennium-problems))_.
+
+[![Navier–Stokes Equation](https://user-images.githubusercontent.com/8466209/224287999-37cd0692-bf51-4b99-bb45-8c49e5db58e3.png)](https://www.claymath.org/millennium-problems/navier%E2%80%93stokes-equation)
+
+By _[this paper](https://www.sciencedirect.com/science/article/pii/S0362546X23000111)_ it is derived a sufficient condition keeping energy conservation in terms of the gradient of the velocity for the weak solutions of the compressible Euler equations for both the non-vacuum and the vacuum cases.
diff --git a/exponentiation/span14/index.html b/exponentiation/span14/index.html
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diff --git a/exponentiation/span15/gist02.html b/exponentiation/span15/gist02.html
diff --git a/exponentiation/span15/gist02.md b/exponentiation/span15/gist02.md
@@ -0,0 +1,21 @@
+## Electron scattering
+
+Electron-electron scattering is described by one of the earliest published Feynman diagrams (featured in “Sightings,” September–October 2003). One electron (solid line at bottom right) shoots out a forcecarrying particle—a virtual photon (wavy line)—which then smacks into the second electron (solid line at bottom left). 
+
+>The first electron recoils backward, while the second electron gets pushed off its original course. The diagram thus sketches a quantum-mechanical view of how particles with the same charge repel each other. As suggested by the term “Space-Time Approach” in the title of the article that accompanied this diagram, Feynman originally drew diagrams in which the dimensions were space and time; here the horizontal axis represents space. 
+
+[![default](https://user-images.githubusercontent.com/8466209/224118806-b00758c2-0885-46c3-b574-566dffedf95f.png)](https://en.wikipedia.org/wiki/Feynman_diagram)
+
+![image](https://user-images.githubusercontent.com/8466209/240317298-4d42ea8d-ef95-4a33-9a6c-518149dbc02a.png)
+
+![image](https://user-images.githubusercontent.com/8466209/223643996-1ea5cb89-324e-446c-9c9f-8c94c39909b3.png)
+
+[![default](https://user-images.githubusercontent.com/8466209/224117996-fd3f0e3b-2ef6-43f5-961d-e90b616cbccc.png)](http://web.mit.edu/dikaiser/www/FdsAmSci.pdf)
+
+![](https://user-images.githubusercontent.com/8466209/222020262-cffc624a-b92c-4137-b76a-5423df7fc5ad.png)
+
+![Untitled](https://user-images.githubusercontent.com/8466209/207262180-7a0928a1-0c16-4193-9611-0626ad884ab1.png)
+
+![Untitled](https://user-images.githubusercontent.com/8466209/207363317-e8816b5d-c7b4-43e3-a120-0509641de4eb.png)
+
+![207363317-e8816b5d-c7b4-43e3-a120-0509641de4eb](https://user-images.githubusercontent.com/8466209/207490064-f96db6e0-33fe-4c71-9fd9-9f13e71410db.png)
diff --git a/exponentiation/span15/gist03.html b/exponentiation/span15/gist03.html
diff --git a/exponentiation/span15/gist03.md b/exponentiation/span15/gist03.md
@@ -0,0 +1,13 @@
+![](https://user-images.githubusercontent.com/36441664/73700083-28f2a800-4718-11ea-97b3-2e9a738dc09e.png)
+
+![](https://user-images.githubusercontent.com/36441664/74550123-6dd1d680-4f83-11ea-8810-3b8f4f50a9c0.png)
+
+![image](https://user-images.githubusercontent.com/8466209/240316525-ac3dd580-223b-4aa9-ad42-e6bb325fd52d.png)
+
+![origin](https://user-images.githubusercontent.com/8466209/220002045-d0395b21-1f2a-4dba-992a-24bf50c480d5.png)
+
+![default](https://user-images.githubusercontent.com/8466209/224314748-3f624809-b5eb-4857-aaf1-d001eda32a4c.png)
+
+![2022-12-12](https://user-images.githubusercontent.com/8466209/206955057-ac0d9318-08e6-4e9d-9a37-0c752ceb9fe2.png)
+
+![resize](https://user-images.githubusercontent.com/8466209/206960889-211ce865-84ad-4164-b8e5-76e1781f7071.png)
diff --git a/exponentiation/span15/gist04.html b/exponentiation/span15/gist04.html
diff --git a/exponentiation/span15/gist04.md b/exponentiation/span15/gist04.md
@@ -0,0 +1,46 @@
+***50 + 50 + 18 = 50 + 68 = 118***
+
+![image](https://user-images.githubusercontent.com/8466209/223748602-496016ab-db42-4f5e-a5eb-ec0b884fc4f4.png)
+
+```
+  -----------------------+----+----+----+----+----+----+----+----+----+----- 
+   True Prime Pairs Δ    |  1 |  2 |  3 |  4 |  5 |  6 |  7 |  8 |  9 | Sum 
+  =======================+====+====+====+====+====+====+====+====+====+=====
+   19 → π(10)            |  2 |  3 |  5 |  7 |  - |  - |  - |  - |  - | 4th
+  -----------------------+----+----+----+----+----+----+----+----+----+-----
+   17 → π(20)            | 11 | 13 | 17 | 19 |  - |  - |  - |  - |  - | 8th    ←-- π(10) 
+  -----------------------+----+----+----+----+----+----+----+----+----+-----
+   13 → π(30) → 12 (Δ1)  | 23 | 29 |  - |  - |  - |  - |  - |  - |  - |10th
+  =======================+====+====+====+====+====+====+====+====+====+===== 
+   11 → π(42)            | 31 | 37 | 41 |  - |  - |  - |  - |  - |  - |13th
+  -----------------------+----+----+----+----+----+----+----+----+----+----- 
+    7 → π(60) → 19 (Δ12) | 43 | 47 | 53 | 59 |  - |  - |  - |  - |  - |17th    ←-- π(20)
+  -----------------------+----+----+----+----+----+----+----+----+----+----- 
+    5 → π(72) → 18 (Δ13) | 61 | 67 | 71 |  - |  - |  - |  - |  - |  - |20th
+  =======================+====+====+====+====+====+====+====+====+====+===== 
+    3,2 → 18+13+12 → 43  | 73 | 79 | 83 | 89 | 97 | 101| 103| 107| 109|29th    ←-- π(30)
+  =======================+====+====+====+====+====+====+====+====+====+=====
+           Δ                                                            Δ
+  12+13+(18+18)+13+12   ← 36th-Δ1=151-1=150=100+2x(13+12)   ←   30th = 113 = 114-1
+
+```
+
+![](https://user-images.githubusercontent.com/36441664/133192153-61cad1c0-1dde-4fed-8718-840d324a7198.jpg)
+
+![resize](https://user-images.githubusercontent.com/8466209/206956260-f8c3647a-232c-470e-8c0b-e93a6fea14f7.png)
+
+![](https://user-images.githubusercontent.com/36441664/84902223-b8509480-b0d6-11ea-9763-320b38bae102.png)
+
+![action](https://user-images.githubusercontent.com/36441664/84525042-2f67e080-ad05-11ea-9f9c-e07492446240.jpg)  
+
+[![Navier–Stokes](https://user-images.githubusercontent.com/8466209/224357044-f3c42fa5-b9ad-471c-85f3-6a4aa01a909e.png)](https://gist.github.com/eq19/765ddc69e339079a5a64b56c1d46e00f)
+
+![2022-12-11 (1)](https://user-images.githubusercontent.com/8466209/206918483-5016aa03-2bc1-4dcf-a7dd-29f2c4453787.png)
+
+![Untitled](https://user-images.githubusercontent.com/8466209/206918218-95c875a7-0080-44e5-8ade-1ff776f9c30d.png)
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+![2022-12-14 (1)](https://user-images.githubusercontent.com/8466209/207416875-064d5b66-e577-4dde-a329-123f9325d974.png)
+
+![2022-12-14 (1)](https://user-images.githubusercontent.com/8466209/207415917-58daf976-3f9a-496d-af56-99039253c1e8.png)
+
+![](https://user-images.githubusercontent.com/36441664/104077748-9f175d00-524d-11eb-9c6d-6c0c4ee1fd93.gif)
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