13 - Chetabahana/syntax GitHub Wiki

{% include list.liquid all=true %}

The Position Pairs

Pauli_matrices

36 + 36 - 6 partitions = 72 - 6 = 66 = 30+36 = 6x11

$True Prime Pairs:
 (5,7), (11,13), (17,19)
 
 layer|  i  |   f
 -----+-----+---------
      |  1  | 5
   1  +-----+
      |  2  | 7
 -----+-----+---  } 36 ยป 6ยฎ
      |  3  | 11
   2  +-----+
      |  4  | 13
 -----+-----+---------
      |  5  | 17
   3  +-----+     } 36 ยป 6ยฎ
      |  6  | 19
 -----+-----+---------

spinnors in physics

#!/usr/bin/env python

import numpy as np
from scipy import linalg

class SU3(np.matrix):
	GELLMANN_MATRICES = np.array([
		np.matrix([ #lambda_1
			[0, 1, 0],
			[1, 0, 0],
			[0, 0, 0],
		], dtype=np.complex),
		np.matrix([ #lambda_2
			[0,-1j,0],
			[1j,0, 0],
			[0, 0, 0],
		], dtype=np.complex),
		np.matrix([ #lambda_3
			[1, 0, 0],
			[0,-1, 0],
			[0, 0, 0],
		], dtype=np.complex),
		np.matrix([ #lambda_4
			[0, 0, 1],
			[0, 0, 0],
			[1, 0, 0],
		], dtype=np.complex),
		np.matrix([ #lambda_5
			[0, 0,-1j],
			[0, 0, 0 ],
			[1j,0, 0 ],
		], dtype=np.complex),
		np.matrix([ #lambda_6
			[0, 0, 0],
			[0, 0, 1],
			[0, 1, 0],
		], dtype=np.complex),
		np.matrix([ #lambda_7
			[0, 0,  0 ],
			[0, 0, -1j],
			[0, 1j, 0 ],
		], dtype=np.complex),
		np.matrix([ #lambda_8
			[1, 0, 0],
			[0, 1, 0],
			[0, 0,-2],
		], dtype=np.complex) / np.sqrt(3),
	])


	def computeLocalAction(self):
		pass

	@classmethod
	def getMeasure(self):
		pass

Now the following results: Due to the convolution and starting from the desired value of the prime position pairs, the product templates and prime numbers templates of the prime number 7 lie in the numerical Double strand parallel opposite.

The Fourth Root

In number theory, the partition functionp(n) represents the number of possible partitions of a non-negative integer n.

image

Integers can be considered either in themselves or as solutions to equations (Diophantine geometry).

[Young diagrams](https://commons.wikimedia.org/wiki/Category:Young_diagrams) associated to the partitions of the positive integers 1 through 8. They are arranged so that images under the reflection about the main diagonal of the square are conjugate partitions _([Wikipedia](https://en.wikipedia.org/wiki/Partition_(number_theory)))_.

integer partition

By parsering [ฯ€(1000)=168 primes](https://www.eq19.com/sitemap.xml) of the 1000 id's across **ฯ€(ฯ€(10000))-1=200** of this syntax then the (ฮ”1) would be _[initiated](https://eq19.github.io/init.js)_. Based on Assigning Sitemap [priority values](https://www.microsystools.com/products/sitemap-generator/help/xml-sitemaps-creator-importance/) You may see them are set 0.75 โ€“ 1.0 on the [sitemap's index](https://www.eq19.com/sitemap.xml):

Priority	Page Name
1	        Homepage
0.9	        Main landing pages
0.85	        Other landing pages
0.8	        Main links on navigation bar
0.75	        Other pages on site
0.8	        Top articles/blog posts
0.75	        Blog tag/category pages
0.4 โ€“ 0.7	Articles, blog posts, FAQs, etc.
0.0 โ€“ 0.3	Outdated information or old news that has become less relevant

By this object orientation then the reinjected primes from the ฯ€(ฯ€(10000))-1=200 will be (168-114)+(160-114)=54+46=100. Here are our layout that is provided using Jekyll/Liquid to facilitate the cycle:

100 + 68 + 32 = 200

$True Prime Pairs:
(5,7), (11,13), (17,19)
 
layer | node | sub |  i  |  f.                                      MEC 30 / 2
------+------+-----+-----+------      โ€น--------------------------- 30 {+1/2} โˆš
      |      |     |  1  | --------------------------
      |      |  1  +-----+                           |    
      |  1   |     |  2  | (5)                       |
      |      |-----+-----+                           |
      |      |     |  3  |                           |
  1   +------+  2  +-----+----                       |
      |      |     |  4  |                           |
      |      +-----+-----+                           |
      |  2   |     |  5  | (7)                       |
      |      |  3  +-----+                           |
      |      |     |  6  |                          11s
------+------+-----+-----+------      } (36)         |
      |      |     |  7  |                           |
      |      |  4  +-----+                           |
      |  3   |     |  8  | (11)                      |
      |      +-----+-----+                           |
      |      |     |  9  |โ€น--                        |
  2   +------|  5* +-----+-----                      |
      |      |     |  10 |                           |
      |      |-----+-----+                           |
      |  4   |     |  11 | (13) --------------------- 32 โˆš
      |      |  6  +-----+            โ€น------------------------------ 15 {0} โˆš
      |      |     |  12 |---------------------------
------+------+-----+-----+------------               |
      |      |     |  13 |                           |
      |      |  7  +-----+                           |
      |  5   |     |  14 | (17)                      |
      |      |-----+-----+                           |
      |      |     |  15 |                           7s = f(1000)
  3*  +------+  8  +-----+-----       } (36)         |
      |      |     |  16 |                           |
      |      |-----+-----+                           |
      |  6   |     |  17 | (19)                      |
      |      |  9  +-----+                           |
      |      |     |  18 | -------------------------- 68 โˆš
------|------|-----+-----+-----                            โ€น------  0 {-1/2} โˆš

Diagram-of-the-statistical-principle-for-the-constitution-of-partitions-of-prime-numbers

p r i m e s
1 0 0 0 0 0
2 1 0 0 0 1 โ—„--- #29 โ—„--- #61 ๐Ÿ‘ˆ 1st spin
3 2 0 1 0 2 ๐Ÿ‘‰ 2
4 3 1 1 0 3 ๐Ÿ‘‰ 89 - 29 = 61 - 1 = 60
5 5 2 1 0 5 ๐Ÿ‘‰ 11 + 29 = 37 + 3 = 40 
          6 ๐Ÿ‘‰ 11s Composite Partition โ—„--- 102 ๐Ÿ‘ˆ 4th spin
6 7 3 1 0 7 โ—„--- #23 ๐Ÿ‘ˆ 7+23 = 30 โœ”๏ธ
7 11 4 1 0 11 โ—„--- #19 ๐Ÿ‘ˆ 11+19 = 30 โœ”๏ธ
8 13 5 1 0 13 โ—„--- #17 โ—„--- #49 ๐Ÿ‘ˆ 13+17 = 30 โœ”๏ธ
9 17 0 1 1 17 โ—„--- 7th prime๐Ÿ‘ˆ 17+7 != 30โ“
           18 ๐Ÿ‘‰ 7s Composite Partition โ—„--- 168 ๐Ÿ‘ˆ 7th spin
10 19 1 1 1 โˆ†1 โ—„--- 0th โˆ†prime โ—„--- Fibonacci Index #18
-----
11 23 2 1 1 โˆ†2 โ—„--- 1st โˆ†prime โ—„--- Fibonacci Index #19 โ—„--- #43
..
..
40 163 5 1 0 โˆ†31 โ—„- 11th โˆ†prime โ—„-- Fibonacci Index #29 ๐Ÿ‘‰ 11
-----
41 167 0 1 1 โˆ†0
42 173 0 -1 1 โˆ†1
43 179 0 1 1 โˆ†2 โ—„--- โˆ†โˆ†1
44 181 1 1 1 โˆ†3 โ—„--- โˆ†โˆ†2 โ—„--- 1st โˆ†โˆ†prime โ—„--- Fibonacci Index #30
..
..
100 521 0 -1 2 โˆ†59 โ—„--- โˆ†โˆ†17 โ—„--- 7th โˆ†โˆ†prime โ—„--- Fibonacci Index #36  ๐Ÿ‘‰ 7s
-----

Composite System

By taking a distinc function between f(ฯ€) as P vs f(i) as NP where eiฯ€ + 1 = 0 then theoretically they shall be correlated to get an expression of the prime platform similar to the Mathematical Elementary Cell 30 (MEC30).

โˆ†17 + โˆ†49 = โˆ†66

p r i m e s
1 0 0 0 0 0
2 1 0 0 0 1 โ—„--- #29 โ—„--- #61 ๐Ÿ‘ˆ 1st spin
3 2 0 1 0 2 ๐Ÿ‘‰ 2
4 3 1 1 0 3 ๐Ÿ‘‰ 89 - 29 = 61 - 1 = 60
5 5 2 1 0 5 ๐Ÿ‘‰ 11 + 29 = 37 + 3 = 40 
          6 ๐Ÿ‘‰ 11s Composite Partition โ—„--- 102 ๐Ÿ‘ˆ 4th spin
6 7 3 1 0 7 โ—„--- #23 ๐Ÿ‘ˆ part of MEC30 โœ”๏ธ
7 11 4 1 0 11 โ—„--- #19 ๐Ÿ‘ˆ part of MEC30 โœ”๏ธ
8 13 5 1 0 13 โ—„--- #17 โ—„--- #49 ๐Ÿ‘ˆ part of MEC30 โœ”๏ธ
9 17 0 1 1 17 โ—„--- 7th prime๐Ÿ‘ˆ not part of MEC30 โ“
           18 ๐Ÿ‘‰ 7s Composite Partition โ—„--- 168 ๐Ÿ‘ˆ 7th spin
10 19 1 1 1 โˆ†1 โ—„--- 0th โˆ†prime โ—„--- Fibonacci Index #18
-----
11 23 2 1 1 โˆ†2 โ—„--- 1st โˆ†prime โ—„--- Fibonacci Index #19 โ—„--- #43
..
..
40 163 5 1 0 โˆ†31 โ—„- 11th โˆ†prime โ—„-- Fibonacci Index #29 ๐Ÿ‘‰ 11
-----
41 167 0 1 1 โˆ†0
42 173 0 -1 1 โˆ†1
43 179 0 1 1 โˆ†2 โ—„--- โˆ†โˆ†1
44 181 1 1 1 โˆ†3 โ—„--- โˆ†โˆ†2 โ—„--- 1st โˆ†โˆ†prime โ—„--- Fibonacci Index #30
..
..
100 521 0 -1 2 โˆ†59 โ—„--- โˆ†โˆ†17 โ—„--- 7th โˆ†โˆ†prime โ—„--- Fibonacci Index #36  ๐Ÿ‘‰ 7s
-----

a-Example-of-trellis-tone-modulation-generated-by-referring-to-the-trellis-diagram-in

โˆ†102 - โˆ†2 - โˆ†60 = โˆ†40

p r i m e s
1 0 0 0 0 0
2 1 0 0 0 1 โ—„--- #29 โ—„--- #61 ๐Ÿ‘ˆ 1st spin
3 2 0 1 0 2 ๐Ÿ‘‰ 2
4 3 1 1 0 3 ๐Ÿ‘‰ 89 - 29 = 61 - 1 = 60
5 5 2 1 0 5 ๐Ÿ‘‰ 11 + 29 = 37 + 3 = 40 
          6 ๐Ÿ‘‰ 11s Composite Partition โ—„--- 102 ๐Ÿ‘ˆ 4th spin
6 7 3 1 0 7 โ—„--- #23 ๐Ÿ‘ˆ 30 โ—„--- break MEC30 symmetry โœ”๏ธ
7 11 4 1 0 11 โ—„--- #19 ๐Ÿ‘ˆ 30 โœ”๏ธ
8 13 5 1 0 13 โ—„--- #17 โ—„--- #49 ๐Ÿ‘ˆ 30 โœ”๏ธ
9 17 0 1 1 17 โ—„--- 7th prime๐Ÿ‘ˆ not part of MEC30 โ“
           18 ๐Ÿ‘‰ 7s Composite Partition โ—„--- 168 ๐Ÿ‘ˆ 7th spin
10 19 1 1 1 โˆ†1 โ—„--- 0th โˆ†prime โ—„--- Fibonacci Index #18
-----
11 23 2 1 1 โˆ†2 โ—„--- 1st โˆ†prime โ—„--- Fibonacci Index #19 โ—„--- #43
..
..
40 163 5 1 0 โˆ†31 โ—„- 11th โˆ†prime โ—„-- Fibonacci Index #29 ๐Ÿ‘‰ 11
-----
41 167 0 1 1 โˆ†0
42 173 0 -1 1 โˆ†1
43 179 0 1 1 โˆ†2 โ—„--- โˆ†โˆ†1
44 181 1 1 1 โˆ†3 โ—„--- โˆ†โˆ†2 โ—„--- 1st โˆ†โˆ†prime โ—„--- Fibonacci Index #30
..
..
100 521 0 -1 2 โˆ†59 โ—„--- โˆ†โˆ†17 โ—„--- 7th โˆ†โˆ†prime โ—„--- Fibonacci Index #36  ๐Ÿ‘‰ 7s
-----
***The partitions of odd composite numbers (Cw) are as important as the partitions of prime numbers or Goldbach partitions (Gw)***. The number of partitions Cw is fundamental for defining the available lines (Lwd) in a Partitioned Matrix that explain the existence of partitions Gw or Goldbach partitions. _([Partitions of even numbers - pdf](https://github.com/eq19/maps/files/13722898/Partitions_of_even_numbers.pdf))_

Trellis_Tone_Modulation_Multiple-Access_for_Peer_D

30s + 36s (addition) = 6 x 11s (multiplication) = 66s

p r i m e s
1 0 0 0 0 0
2 1 0 0 0 1 โ—„--- #29 โ—„--- #61 ๐Ÿ‘ˆ 1st spin
3 2 0 1 0 2 ๐Ÿ‘‰ 2
4 3 1 1 0 3 ๐Ÿ‘‰ 89 - 29 = 61 - 1 = 60
5 5 2 1 0 5 ๐Ÿ‘‰ 11 + 29 = 37 + 3 = 40 
          6 ๐Ÿ‘‰ 11s Composite Partition โ—„--- 102 ๐Ÿ‘ˆ 4th spin
6 7 3 1 0 7 โ—„--- #23 ๐Ÿ‘ˆ f(#30) โ—„--- break MEC30 symmetry
7 11 4 1 0 11 โ—„--- #19 ๐Ÿ‘ˆ 30
8 13 5 1 0 13 โ—„--- #17 โ—„--- #49 ๐Ÿ‘ˆ 30
9 17 0 1 1 17 โ—„--- 7th prime ๐Ÿ‘ˆ f(#36) โ—„--- antisymmetric state โœ”๏ธ
           18 ๐Ÿ‘‰ 7s Composite Partition โ—„--- 168 ๐Ÿ‘ˆ 7th spin
10 19 1 1 1 โˆ†1 โ—„--- 0th โˆ†prime โ—„--- Fibonacci Index #18
-----
11 23 2 1 1 โˆ†2 โ—„--- 1st โˆ†prime โ—„--- Fibonacci Index #19 โ—„--- #43
..
..
40 163 5 1 0 โˆ†31 โ—„- 11th โˆ†prime โ—„-- Fibonacci Index #29 ๐Ÿ‘‰ 11
-----
41 167 0 1 1 โˆ†0
42 173 0 -1 1 โˆ†1
43 179 0 1 1 โˆ†2 โ—„--- โˆ†โˆ†1
44 181 1 1 1 โˆ†3 โ—„--- โˆ†โˆ†2 โ—„--- 1st โˆ†โˆ†prime โ—„--- Fibonacci Index #30
..
..
100 521 0 -1 2 โˆ†59 โ—„--- โˆ†โˆ†17 โ—„--- 7th โˆ†โˆ†prime โ—„--- Fibonacci Index #36  ๐Ÿ‘‰ 7s
-----

Scheme 13:9
===========
(1){1}-7:   7'
(1){8}-13:  6โ€˜
(1)14-{19}: 6โ€˜
------------- 6+6 -------
(2)20-24:   5'           |
(2)25-{29}: 5'           |
------------  5+5 -------
(3)30-36:   7:{70,30,10ยฒ}|
------------             |
(4)37-48:   12โ€ข ---      |
(5)49-59:   11ยฐ    |     |
            --}30ยฐ 30โ€ข   |
(6)60-78:   19ยฐ    |     |
(7)79-96:   18โ€ข ---      |
--------------           |
(8)97-109:  13           |
(9)110-139:{30}=5x6 <--x-
            --
           {43}

image

The True Prime Pairs:
(5,7), (11,13), (17,19)

|-------------------------------- 2x96 -------------------------------|
|--------------- 7ยค ---------------|------------ 7ยค ------------------|
|-------------- {89} --------------|{12}|-- {30} -|-- {36} -|-- {25} -|
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
|  5 |  7 | 11 |{13}| 17 | 19 | 17 |{12}| 11 | 19 | 18 | 18 | 12 | 13 |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
|--------- {53} ---------|---- {48} ----|---- {48} ----|---- {43} ----|
|---------- 5ยค ----------|------------ {96} -----------|----- 3ยค -----|
|-------- Bosons --------|---------- Fermions ---------|-- Gravitons--|
      13 variations               48 variations          11 variations 

The Prime Recycling ฮถ(s):
(2,3), (29,89), (36,68), (72,42), (100,50), (2,3), (29,89), ...**infinity**

----------------------+-----+-----+-----+                                    ---
     7 --------- 1,2:1|   1 |  30 |  40 | 71 (2,3) โ€น-------------@----        |
     |                +-----+-----+-----+-----+                        |      |
     |  8 โ€น------  3:2|   1 |  30 |  40 |  90 | 161 (7) โ€น---           |      5ยจ  encapsulation
     |  |             +-----+-----+-----+-----+             |          |      |
     |  |  6 โ€น-- 4,6:3|   1 |  30 | 200 | 231 (10,11,12) โ€น--|---       |      |
     |  |  |          +-----+-----+-----+-----+             |   |      |     ---
      --|--|-----ยป 7:4|   1 |  30 |  40 | 200 | 271 (13) --โ€บ    | {5ยฎ} |      |
        |  |          +-----+-----+-----+-----+                 |      |      |
         --|---โ€บ 8,9:5|   1 |  30 | 200 | 231 (14,15) ---------โ€บ       |      7ยจ  abstraction
289        |          +-----+-----+-----+-----+-----+                  |      |
 |          ----โ€บ 10:6|  20 |   5 |  10 |  70 |  90 | 195 (19) --โ€บ ฮฆ   | {6ยฎ} |
  --------------------+-----+-----+-----+-----+-----+                  |     ---
     67 --------โ€บ 11:7|   5 |   9 |  14 (20) --------โ€บ ยค               |      |
     |                +-----+-----+-----+                              |      |
     |  78 โ€น----- 12:8|   9 |  60 |  40 | 109 (26) ยซ------------       |     11ยจ  polymorphism
     |  |             +-----+-----+-----+                       |      |      |
     |  |  86โ€น--- 13:9|   9 |  60 |  69 (27) ยซ-- 3xฮ”9 (2xMEC30) | {2ยฎ} |      |
     |  |  |          +-----+-----+-----+                       |      |     ---
     |  |   ---โ€บ 14:10|   9 |  60 |  40 | 109 (28) -------------       |      |
     |  |             +-----+-----+-----+                              |      |
     |   ---โ€บ 15,18:11|   1 |  30 |  40 | 71 (29,30,31,32) ----------        13ยจ  inheritance
329  |                +-----+-----+-----+                                     |
  |   โ€น--------- 19:12|  10 |  60 | {70} (36) โ€น--------------------- ฮฆ        |
   -------------------+-----+-----+                                          ---
    786 โ€น------- 20:13|  90 |  90 (38) โ€น-------------- ยค                      |
     |                +-----+-----+                                           |
     | 618 โ€น- 21,22:14|   8 |  40 |  48 (40,41) โ€น----------------------      17ยจ  class
     |  |             +-----+-----+-----+-----+-----+                  |      |
     |  | 594 โ€น- 23:15|   8 |  40 |  70 |  60 | 100 | 278 (42) ยซ--     |{6'ยฎ} |
     |  |  |          +-----+-----+-----+-----+-----+             |    |     ---
      --|--|-ยป24,27:16|   8 |  40 |  48 (43,44,45,46) ------------|----       |
        |  |          +-----+-----+                               |           |
         --|---โ€บ 28:17| 100 | {100} (50) ------------------------ยป           19ยจ  object
168        |          +-----+                                                 |
|         102 -โ€บ 29:18| 50  | 50(68) ---------> โˆ†27-โˆ†9=ฮ”18                    |
----------------------+-----+                                                ---

Final Theory

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