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[![default](https://user-images.githubusercontent.com/8466209/201292753-842f61b5-fa45-4b0b-be17-41545774c28b.png)](https://gist.github.com/eq19/8cab5e72d52ecb338a2f2187082a1699#file-4_quantum-md)

[![default](https://user-images.githubusercontent.com/8466209/201289502-7a7e9c84-1bdf-4865-8eab-7117d7362afe.png)](https://gist.github.com/eq19/f1af4317b619154719546e615aaa2155#file-algorithm-md!)

[![image](https://user-images.githubusercontent.com/8466209/201289841-81b4e930-012c-499a-b192-4e2387698f39.png)](https://github.com/tensorflow/tensorflow)

[![default](https://user-images.githubusercontent.com/8466209/201290640-9f7b1e38-6fe2-4819-9fd9-e8777c6eddc4.png)](https://gist.github.com/eq19/54600a56d20163c2da8910dd804ec406#file-logic-md)

![image](https://user-images.githubusercontent.com/8466209/201288829-541df68d-fd5c-4dcc-859b-35af3a15f100.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)
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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)
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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)
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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)
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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)
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```
---+-----+-----
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.
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## 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)
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![](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)
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***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)

![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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```
---+-----+-----
1 | 1 | 15
---+-----+-----
2 | 16 | 25
---+-----+-----
3 | 26 | 50
---+-----+-----
4 | 51 | 84
---+-----+-----
5 | 85 | 99
---+-----+-----
```

[![Prime Identity](https://user-images.githubusercontent.com/36441664/103107461-173c2b00-4671-11eb-962c-da7e9eab022e.png)](https://gist.github.com/eq19/e9832026b5b78f694e4ad22c3eb6c3ef#prime-identity)

![](https://user-images.githubusercontent.com/36441664/83051805-aef47f00-a078-11ea-87e5-d8f352e318fe.gif)

***99 - 15 - 15 = 69 = 9 + 60 = 9 + (100 - 40)***

![](https://user-images.githubusercontent.com/36441664/83051968-e2cfa480-a078-11ea-8ff2-316a809a8fad.jpg)

![default](https://user-images.githubusercontent.com/8466209/224346485-13d27a0b-bfe3-43f0-94da-f75313dc9d77.png)

```liquid
| ----------- 5 -----------
| | |
↓ ↑ ↓
| mapping | feeding | lexering | parsering | syntaxing | grammaring |
|------------- 36' --------------|----------------------------36' ----------------------------|
| 19' | 17' | 13' | 11' | 7' | 5' |
+----+----+----+---+----+----+---+---+----+-----+----+----+----+----+----+-----+----+----+----+
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
+----+----+----+---+----+----+---+---+----+-----+----+----+----+----+----+-----+----+----+----+
| 2 | 60 | 40 | 1 | 30 | 30 | 5 | 1 | 30 | 200 | 8 | 40 | 50 | 1 | 30 | 200 | 8 | 10 | 40 |
+----+----+----+---+----+----+---+---+----+-----+----+----+----+----+----+-----+----+----+----+
↓ ↑ | |
| | | |
------------ 10 ------------- | |
↓ ↓ |
+----+----+----+---+----+----+---+
| 2 | 60 | 40 | 1 | 30 | 30 | 5 |
| | |
2+100 ◄-
-----------------------+----+----+----+----+----+----+----+----+----+----- |
True Prime Pairs Δ | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | Sum |
=======================+====+====+====+====+====+====+====+====+====+===== ↓
19 → π(10) | 2 | 3 | 5 | 7 | - | - | - | - | - | 4th ◄- 4 = π(10)
-----------------------+----+----+----+----+----+----+----+----+----+-----
```

![](https://user-images.githubusercontent.com/36441664/74366957-992db780-4e03-11ea-8f26-cca32bd26003.png)

![](https://user-images.githubusercontent.com/8466209/223616353-0e1be019-16e8-40d1-bb0c-465a9837d7bb.png)

[![default](https://user-images.githubusercontent.com/8466209/224466884-5ba87f02-e01d-45ca-a9c3-a1d535e83228.png)](https://gist.github.com/eq19/b541275ab7deda356feef32d600e44d8#poincar%C3%A9-conjecture)

>Experiment and computer simulations suggest the existence of a "mass gap" in the solution to the quantum versions of the Yang-Mills equations. But no proof of this property is known _([Clay Institute](https://www.claymath.org/millennium-problems))_.
[![Yang–Mills and Mass Gap](https://user-images.githubusercontent.com/36441664/85888653-3538e800-b814-11ea-85ba-23a56243e9e0.jpg)](https://www.claymath.org/millennium-problems/yang%E2%80%93mills-and-mass-gap)
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