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1 decimal integer ring cycle of many

Quantum Field Fractal Polarization Math Constants

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Y φ Θ P Q Ψ

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Complex sets of Y Phi Theta Prime Q Psi Quotient Based Numerals 

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Variables of  A LIST A  B  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z  φ  Θ  Ψ  ᐱ  ᗑ  ∘⧊°  ∘∇° are applicable to a function.

1-⅄=(n2-n1) that a function path is factored to the definition of the function path rather than pemdas order of operations.


While the function of Y variable sets +⅄Y=(Yn+Yn) and P primes +⅄P=(Pn+Pn), utilize whole numbers in the addition abbreviated of these sequential set variables, the variable sets φ Θ Q, do not equal to whole numbers and instead equal ratios and ratios with repeating notable decimal loops that are numerable. The numerable repeating decimal ratios then produce a difference in subtraction equal to exactly what the variables are noted to in cycle counts through decimal values.

+⅄Yn1=(Y2+Y1)=(1+0)=1

+⅄Yn2=(Y3+Y2)=(1+1)=2

+⅄Yn3=(Y4+Y3)=(2+1)=3

+⅄Yn4=(Y5-+Y4)=(3+2)=5

+⅄Yn5=(Y6+Y5)=(5+3)=8

+⅄Yn6=(Y7+Y6)=(8+5)=13

+⅄Yn7=(Y8+Y7)=(13+8)=21

+⅄Yn8=(Y9+Y8)=(21+13)=34

+⅄Yn9=(Y10+Y9)=(34+21)=55

+⅄Yn10=(Y11+Y10)=(55+34)=89 and so on for +1⅄Yn=(Yn2+Yn1) or +2⅄Yn=(Y1+Y2)


Ironically this is near a mirror image and still yet, a different sequential set than Common Y base fibonacci numbers and instead beginning with the whole number 1 instead of beginning with  0 and 1 1 2 3 5 8 13 21 34 55 and so on.


P primes ∈1-⅄P=(P2-P1), utilize whole numbers toward another sequential set library.

+⅄Pn1=(P2+P1)=(3+2)=5

+⅄Pn2=(P3+P2)=(5-+3)=8

+⅄Pn3=(P4+P3)=(7+5)=12

+⅄Pn4=(P5+P4)=(11+7)=18

+⅄Pn5=(P6+P5)=(13+11)=24

+⅄Pn6=(P7+P6)=(17+13)=30

+⅄Pn7=(P8+P7)=(19+17)=33

+⅄Pn8=(P9+P8)=(23+19)=41

+⅄Pn9=(P10+P9)=(29+23)=52

+⅄Pn10=(P11+P10)=(31+29)=60

+⅄Pn11=(P12+P11)=(37+31)=68

+⅄Pn12=(P13+P12)=(41+37)=78

+⅄Pn13=(P14+P13)=(43+41)=84

+⅄Pn14=(P15+P14)=(47+43)=90

+⅄Pn15=(P16+P15)=(53+47)=100

+⅄Pn16=(P17+P16)=(59+53)=112

+⅄Pn17=(P18+P17)=(61+59)=120

+⅄Pn18=(P19+P18)=(67+61)=128

+⅄Pn19=(P20+P19)=(71+67)=138

+⅄Pn20=(P21+P20)=(73+71)=144

+⅄Pn21=(P22+P21)=(79+73)=152

+⅄Pn22=(P23+P22)=(83+79)=162

+⅄Pn23=(P24+P23)=(89+83)=172

+⅄Pn24=(P25+P24)=(97+89)=186

+⅄Pn25=(P26+P25)=(101+97)=198

+⅄Pn26=(P27+P26)=(103+101)=204

+⅄Pn27=(P28+P27)=(107+103)=210

+⅄Pn28=(P29+P28)=(109+107)=216

+⅄Pn29=(P30+P29)=(113+109)=222

+⅄Pn30=(P31+P30)=(127+113)=240

+⅄Pn31=(P32+P31)=(131+127)=258

+⅄Pn32=(P33+P32)=(137+131)=268

+⅄Pn33=(P34+P33)=(139+137)=276

+⅄Pn34=(P35+P34)=(149+139)=288


So set function1+⅄Pn=(Pn2+Pn1) and 2+⅄Pn=(Pn1+Pn2)produces a sequential set of variables in the order of... 

5, 8, 12, 18,24,30, 33, 41, 52, 60, 68, 78, 84, 90, 100, 112, 120, 128, 138, 144, 152, 162, 172, 186, 198, 204, 210, 216, 222, 240, 258, 268, 276, 288 and so on for sums between values of sequential prime numbers of set ∈+⅄Pn=(Pn2+Pn1)


if Ψ represents ratios from sequential set variable that are neither Y base nor P prime variables in whole numbers, then the function of ∈1-⅄Ψn1=(Ψn2n1)=(6-4)=2 as defined in set 1-⅄Ψn=(Ψn2n1). again makes another sequential set of variables notable that is mapped toward a library of another sequential set in these definition bases.

+⅄Ψn1=(Ψn2+Ψn1)=(6+4)=10

+⅄Ψn2=(Ψn3+Ψn2)=(9+6)=15

+⅄Ψn3=(Ψn4+Ψn3)=(10+9)=19

+⅄Ψn4=(Ψn5+Ψn4)=(12+10)=22

+⅄Ψn5=(Ψn6+Ψn5)=(14+12)=26

+⅄Ψn6=(Ψn7+Ψn6)=(15+14)=29

+⅄Ψn7=(Ψn8+Ψn7)=(16+15)=31

+⅄Ψn8=(Ψn9+Ψn8)=(18+16)=34

+⅄Ψn9=(Ψn10+Ψn9)=(20+18)=38

+⅄Ψn10=(Ψn11+Ψn10)=(22+20)=42

+⅄Ψn11=(Ψn12+Ψn11)=(24+22)=46

+⅄Ψn12=(Ψn13+Ψn12)=(25+24)=49

+⅄Ψn13=(Ψn14+Ψn13)=(26+25)=51

+⅄Ψn14=(Ψn15+Ψn14)=(27+26)=53

+⅄Ψn15=(Ψn16+Ψn15)=(28+27)=55

+⅄Ψn16=(Ψn17+Ψn16)=(30+28)=58

+⅄Ψn17=(Ψn18+Ψn17)=(32+30)=62

+⅄Ψn18=(Ψn19+Ψn18)=(33+32)=65

+⅄Ψn19=(Ψn20+Ψn19)=(35+33)=68

+⅄Ψn20=(Ψn21+Ψn20)=(36+35)=71

So set function1+⅄Ψn=(Ψn2+Ψn1) and 2+⅄Ψn=(Ψn1n2) produces a sequential set of variables in the order of... 

10, 15, 19, 22, 26, 29, 31, 34, 38, 42, 46, 49, 51, 53, 55, 58, 62, 65, 68, 71 and so on for difference between sequential non Fibonacci non prime numbers of set ∈+⅄Ψn=(Ψn2n1)


Function path +=(n2+n1) is nn2cn a repeating loop decimal number in a set of consecutive variables added with nn1cn a number or another ratio having repeating decimal variables. A set of consecutive variables, such that nncn is a number or variable with a repeating or not repeating decimal stem cycle variant.

Applications of this function of sequential set subtraction then depend on the exact variable decimal cycle notation for variables of the sequential sets φ, Θ, and Q. 


Nncn is a variable factor for sets ∈A, ∈B, ∈D, ∈E, ∈F, ∈G, ∈H, ∈I, ∈J, ∈K, ∈L, ∈M, ∈O, ∈R, ∈S, ∈T, ∈U, ∈V, ∈W, and ∈Z as well as ∈φ, ∈Θ, ∈1⅄Q, ∈2⅄Q, ∈1⅄Ψ, and ∈2⅄Ψ variables. This specific definition will equal a total sum specific and exact to the numerable decimal loops noted as value total per equation rather than a sum of more or infinitely looping decimal ratios not notable in such precision.