T H E G O D S A N D B O O K O F D E A D A N C I E N T E G Y P T A N D B O O K O F L I V I N G M O D E R N T O R U S                  -=^=-GoD                B I G    D A T A    S E T S

 Golden section (golden ratio, division in extreme and mean ratio, harmonic division) - the ratio of the two values a & b, in which a large value refers to a smaller one as well as a sum of values to a larger one, that is : a / b = a + b / a First 100 decimal places of φ : 1,6180339887 4989484820 4586834365 6381177203 0917980576 2862135448 6227052604 6281890244 9707207204 1893911374 … Euler's number y = (1 + 1 / x)x     by     x > +∞: First 100 decimal places of e : 2,7182818284 5904523536 0287471352 6624977572 4709369995 9574966967 6277240766 3035354759 4571382178 5251664274 … π is the length of a circle with a unit diameter. First 100 decimal places of π : 3,1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 …

Two-Dimensional of Space :

1 2 3 4 5 6 7 8 9 3, 4, 5
Pythagorean triple

for positive integers m and n, m> n
Euclid's formula :

a2 + b2 = (m2 - n2)2 + (2 m n)2 = (m2 + n2)2 = c2

a2 + b2 = c2
4, 5, 7
Brown numbers

n! + 1 = m2
for positive integers m, where n! si a factorial

4! + 1 = 52 => 1 * 2 * 3 * 4 + 1 = 25
5! + 1 = 112 => 1 * 2 * 3 * 4 * 5 + 1 = 121
7! + 1 = 712 => 1 * 2 * 3 * 4 * 5 * 6 * 7 + 1 = 5041

 n n2 n! 1 1 1 2 4 2 3 9 66 4 16 24 5 25 120 6 36 720 7 49 5040

Brocard points

In a triangle ABC with sides a, b, and c,
where the vertices are labeled A, B and C in counterclockwise order,
there is exactly one point P such that the line segments AP, BP, and CP form the same angle, ω A n y     F O R M S    O F    E L E C T R O M A G N E T I C    V O R T E X

BEGINING

R E G U L A R    P O L Y G O N
S P H E R E

281 474 976 710 657

- 281 474 976 710 656 - 1     <=   discharge     <=   0 - 1     <=    0     =>    0 + 1     =>    charge     =>    + 281 474 976 710 656 + 1

 281 x=2 y=8 z=1 474 976 x=9 y=7 z=6 710 657 x=6 y=5 z=7 281 => 2+8+1=11 => 1+1=22+8=18+1=91+2=3 193 => 1+9+3=13 => 1+3=41+9=19+3=12=>1+2=33+1=4 134 => 1+3+4=81+3=43+4=74+1=5 475 => 4+7+5=16 => 1+6=74+7=11 => 1+1=27+5=12 => 1+2=35+4=9 239 => 2+3+9=14 => 1+4=52+3=53+9=12 => 1+2=39+2=11 => 1+1=2 532 => 5+3+2=10 => 1+0=15+3=83+2=52+5=7 857 => 8+5+7=20 => 2+0=2 474 => 4+7+4=15 => 1+5=64+7=11 => 1+1=27+4=11 => 1+1=24+4=8 228 => 2+2+8=12 =>1+2=32+2=42+8=10 => 1+0=18+2=10 => 1+0=1 411 => 4+1+1=64+1=51+1=21+4=5 525 => 5+2+5=12 => 1+2=35+2=72+5=75+5=10 => 1+0=1 771 => 7+7+1=15 => 1+5=67+7=14 => 1+4=57+1=81+7=8 588 => 5+8+8=21 => 2+1=35+8=13 => 1+3=48+8=16 => 1+6=78+5=13 => 1+3=4 474 => 4+7+4=15 => 1+5=6 976 => 9+7+6=22 => 2+2=49+7=16 => 1+6=77+6=13 => 1+3=46+9=15 => 1+5=6 746 => 7+4+6=17 => 1+7=87+4=11 => 1+1=24+6=10 => 1+0=16+7=13 => 1+3=4 214 => 2+1+4=72+1=31+4=54+2=6 356 => 3+5+6=14 => 1+4=53+5=85+6=11 => 1+1=26+3=9 829 => 8+2+9=19 => 1+9=10 => 1+0=18+2=10 => 1+0=12+9=11 => 1+1=29+8=17 => 1+7=8 128 => 1+2+8=11 => 1+1=21+2=32+8=10 => 1+0=18+1=9 319 => 3+1+9=13 => 1+3=4 710 => 7+1+0=87+1=81+0=10+7=7 817 => 8+1+7=16 => 1+6=78+1=91+7=87+8=15 => 1+5=6 986 => 9+8+6=23 => 2+3=59+8=17 => 1+7=88+6=14 => 1+4=56+9=15 => 1+5=6 856 => 8+5+6=19 => 1+9=10 => 1+0=18+5=13 => 1+3=45+6=11 => 1+1=26+8=14 => 1+4=5 425 => 4+2+5=11 => 1+1=24+2=62+5=75+4=9 679 => 6+7+9=22 => 2+2=46+7=13 => 1+3=47+9=16 => 1+6=79+6=15 => 1+5=6 476 => 4+7+6=17 = 1+7=8 657 => 6+5+7=18 => 1+8=96+5=11 => 1+1=25+7=12 => 1+2=37+6=13 => 1+3=4 234 => 2+3+4=92+3=53+4=74+2=6 576 => 5+7+6=18 => 1+8=95+7=12 => 1+2=37=6=13 => 1+3=46+5=11 => 1+1=2 342 => 3+4+2=93+4=74+2=62+3=5 765 => 7+6+5=18 => 1+8=97+6=13 => 1+3=46+5=11 => 1+1=25+7=12 => 1+2=3 423 => 4+2+3=94+2=62+3=53+4=7 657 => 6+5+7=18 => 1+8=9

 2) 281 128 4252+8+1+1+2+8+4+2+5=33 => 3+3=6 4) 193 976 6791+9+3+9+7+6+6+7+9=57 => 5+7=12 => 1+2=3 8) 134 746 7101+3+4+7+4+6+7+1+0=33 => 3+3=6 7) 475 214 8174+7+5+2+1+4+8+1+7=39 => 3+9=12 => 1+2=3 5) 239 356 9862+3+9+3+5+6+9+8+6=51 => 5+1=6 1) 532 829 8565+3+2+8+2+9+8+5+6=48 => 4+8=12 => 1+2=3

A T O M I C    N U C L E U S

Energy vectors N & Z of opposite charges for an atomic nucleus.    The number of nucleons in a nucleus is called its mass number A

A = N + Z E N E R G Y    C R Y S T A L L I Z A T I O N

N - electromagnetic waves, 4 pcs.
Z - electromagnetic waves, 4 pcs.
A - STANDING electromagnetic waves, 4 pcs.

GENETIC MEMORY

 A T O M I C    N U C L E U S BEGINING A model of the atomic nucleus showing it as a compact bundle of the two types of nucleons: protons (red) and neutrons (blue). In this diagram, protons and neutrons look like little balls stuck together, but an actual nucleus (as understood by modern nuclear physics) cannot be explained like this, but only by using quantum mechanics. In a nucleus which occupies a certain energy level (for example, the ground state), each nucleon can be said to occupy a range of locations. HOW TO CHANGE ATOMIC MASS..  The atomic mass or relative isotopic mass are sometimes confused, or incorrectly used, as synonyms of relative atomic mass.   2D shadows from 3D objects :

 1 1,2,3,4,5,6,7,8,9,.. 1+2+3+4+5+6+7+8+9=45 => 4+5=9 1/1=1 2/1=2 3/1=3 4/1=4 5/1=5 6/1=6 7/1=7 8/1=8 9/1=9 ... 2 8,4,9,5,1,6,2,7,3,,.. 5+1+6+2+7+6=27 => 2+7=9 1/2=0,5 => 0+5=5 2/2=1 3/2=1,5 => 1+5=6 4/2=2 5/2=2,5 => 2+5=7 6/2=6 7/2=3,5 => 3+5=8 8/2=4 9/2=4,5 => 4+5=9 ... 3 6,3,1,7,4,2,8,5,3,9,6,4,1,7,5,2,8,6,3,9,7,4,1,6,5,2,9,.. 6,3,1,7,4,2,8,5,3,9,6,4,1,7,5,2,8,6,3,9,7,4,1,6,5,2,9=133 => 1+3+3=7 1/3=0,33.. => 0+3+3=6 2/3=0,66.. => 0+6+6=12 => 1+2=3 3/3=1 4/3=1,33.. => 1+3+3=7 5/3=1,66.. => 1+6+6=13 => 1+3=4 6/3=2 7/3=2,33.. => 2+3+3=8 8/3=2,66.. => 2+6+6=14 => 1+4=5 9/3=3 ... 3,6,1,3,6,2,3,6,3,3,6,4,3,6,5,3,6,6,3,6,7,3,6,8,3,6,9,.. 4 7,5,3,1,8,6,4,2,9,.. 7+5+3+1+8+6+4+2+9=45 => 4+5=9 1/4=0,25 => 0+2+5=7 2/4=0,5 => 0+5=5 3/4=0,75 => 0+7+5=12 => 1+2=3 4/4=1 5/4=1,25 => 1+2+5=8 6/4=1,5 => 1+5=6 7/4=1,75 => 1+7+5=13 => 1+3=4 8/4=2 9/4=2,25 => 2+2+5=9 ... 5 2,4,6,8,1,3,5,7,9,.. 2+4+6+8+1+3+5+7+9=45 => 4+5=9 1/5=0,2 => 0+2=2 2/5=0,4 => 0+4=4 3/5=0,6 => 0+6=6 4/5=0,8 => 0+8=8 5/5=1 6/5=1,2 => 1+2=3 7/5=1,4 => 1+4=5 8/5=1,6 => 1+6=7 9/5=1,8 => 1+8=9 ... 6 7,6,5,3,2,1,8,7,6,4,3,2,9,8,7,5,4,3,1,9,8,6,5,4,2,1,9,.. 7+6+5+3+..=135 => 1+3+5=9 1/6=0,16.. => 0+1+6=7 2/6=0,33.. => 0+3+3=6 3/6=0,5 => 0+5=5 4/6=0,66.. => 0+6+6=12 => 1+2=3 5/6=0,83.. => 0+8+3=11 => 1+1=2 6/6=1 7/6=1,16.. => 1+1+6=8 8/6=1,33.. => 1+3+3=7 9/6=1,5 => 1+5=6 ... 7 1,4,2,8,5,7,.. 1+4+2+8+5+7=27 => 2+7=9 1/7=0,142857 2/7=0,2857 142857 3/7=0,42857 142857 4/7=0,57 142857 5/7=0,7 142857 6/7=0,857 142857 7/7=1 8/7=1,142857 9/7=1,2857 142857 ... 8 8,7,6,5,4,3,2,1,9,.. 8+7+6+5+4+3+2+1+9=45 => 4+5=9 1/8=0,125 => 0+1+2+5=8 2/8=0,25 => 0+2+5=7 3/8=0,375 => 0+3+7+5=15 => 1+5=6 4/8=0,5 => 0+5=5 5/8=0,625 => 0+6+2+5=13 => 1+43=4 6/8=0,75 => 0+7+5=12 => 1+2=3 7/8=0,875 => 0+8+7+5=20 => 2+0=2 8/8=1 9/8=1,125 => 1+1+2+5=9 ... 9 1/9=0,11.. 2/9=0,22.. 3/9=0,33.. 4/9=0,44.. 5/9=0,55.. 6/9=0,66.. 7/9=0,77.. 8/9=0,88.. 9/9=1 ... 11 1/11=0,09.. 2/11=0,18.. 3/11=0,27.. 4/11=0,36.. 5/11=0,45.. 6/11=0,54.. 7/11=0,63.. 8/11=0,72.. 9/11=0,81.. ... I N T E R A C T I O N    O F    E L E C T R O M A G N E T I C    V O R T E X GREEN                                  RED                       BLUE  1/13=0,076923.. => 0+7+6+9+2+3=27 => 2+7=9 2/13=0,153846.. => 1+5+3+8+4+6=27 => 2+7=9 3/13=0,230769.. => 2+3+0+7+6+9=27 => 2+7=9 4/13=0,307692.. => 3+0+7+6+9+2=27 => 2+7=9 5/13=0,384615.. => 3+8+4+6+1+5=27 => 2+7=9 6/13=0,461538.. => 4+6+1+5+3+8=27 => 2+7=9 7/13=0,538461.. => 5+3+8+4+6+1=27 => 2+7=9 8/13=0,615384.. => 6+1+5+3+8+4=27 => 2+7=9 9/13=0,692307.. => 6+9+2+3+0+7=27 => 2+7=9 10/13=0,769230.. => 7+6+9+2+3+0=27 => 2+7=9 11/13=0,846153.. => 8+4+6+1+5+3=27 => 2+7=9 12/13=0,923076.. => 9+2+3+0+7+6=27 => 2+7=9 13/13=1 .. O S I R I S Press for swim..  R A 