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1 decimal integer ring cycle of many
Quantum Field Fractal Polarization Math Constants
nemeth braille printable arx calc
pronounced why phi prime quotients
ᐱ Y φ Θ P Q Ψ
condensed matter
Y Phi Theta Prime Q Quotients Base Numerals 1dir 2dir 3dir cdir
numer nu mer numerical nomenclature & arcs
Ψ represents unique whole numbers that are not prime numbers nor are they fibonacci numbers
4 6 9 10 12 14 15 16 18 20 22 24 25 26 27 28 30 32 33 35 36 38 39 40 42 44 45 46 48 49 50 51 52 54 56 57 58 60 62 63 64 65 66 68 69 70 72 74 75 76 77 78 80 81 82 84 85 86 87 88 90 91 92 93 94 95 96 98 99 100 and so on . . .
These whole numbers are variables that are neither Y base fibonacci numerals nor are they prime numbers and yet these numbers are still factorable numerals of a set entirely different than Y, P, A through Z, φ, and Θ.
In this case we note the set as (N) of Ψ such that psi represents N whole numbers that are not prime nor fibonacci based numerals and are an ordinal set of consecutive values.
N then is a number and N represents any number of any set including numbers that can not be defined to any of these sets.
A B D E F G H I J K L M O P Q R S T U V W X Y Z φ Θ ᐱ ᗑ ∘⧊° ∘∇° ∀
As C cycles of repeating ratios are numerable then cn or CN is a cycle count of N many cycle counts that its self can be whole and partial of...
1⅄Ψn1=(Ψn2/Ψn1)=(6/4)=1.5
2⅄Ψn1=(Ψn1/Ψn2)=(4/6)=0.^6
And path 3⅄ is applicable to variables of 1⅄Ψn and also applicable to variables of 2⅄Ψn to variable factor potential notated change of CN variants in ratios of 1⅄Ψn and 2⅄Ψn
Chevron ^ Bold numerals represent a repeating decimal number sequence stem that can be counted for cn as practical application ratio values infinitely to the limit of a finite factoring limit.
1⅄Ψn1=(Ψn2/Ψn1)=(6/4)=1.5
1⅄Ψn2=(Ψn3/Ψn2)=(9/6)=1.5
1⅄Ψn3=(Ψn4/Ψn3)=(10/9)=1.^1 or 1.1
1⅄Ψn4=(Ψn5/Ψn4)=(12/10)=1.2
1⅄Ψn5=(Ψn6/Ψn5)=(14/12)=1.1^6 or 1.16
1⅄Ψn6=(Ψn7/Ψn6)=(15/14)=1.0^714285 or 1.0714285
1⅄Ψn7=(Ψn8/Ψn7)=(16/15)=1.0^6 or 1.06
1⅄Ψn8=(Ψn9/Ψn8)=(18/16)=1.125
1⅄Ψn9=(Ψn10/Ψn9)=(20/18)=1.^1 or 1.1
1⅄Ψn10=(Ψn11/Ψn10)=(22/20)=1.1
1⅄Ψn11=(Ψn12/Ψn11)=(24/22)=1.^09 or 1.09
1⅄Ψn12=(Ψn13/Ψn12)=(25/24)=1.041^6 or 1.0416
1⅄Ψn13=(Ψn14/Ψn13)=(26/25)=1.04
1⅄Ψn14=(Ψn15/Ψn14)=(27/26)=1.0^384615 or 1.0384615
1⅄Ψn15=(Ψn16/Ψn15)=(28/27)=1.0^37 or 1.037
1⅄Ψn16=(Ψn17/Ψn16)=(30/28)=1.0^714285 or 1.0714285
1⅄Ψn17=(Ψn18/Ψn17)=(32/30)=1.0^6 or 1.06
1⅄Ψn18=(Ψn19/Ψn18)=(33/32)=1.03125
1⅄Ψn19=(Ψn20/Ψn19)=(35/33)=1.0^6 or 1.06
1⅄Ψn20=(Ψn21/Ψn20)=(36/35)=1.0^285714 or 1.0285714
1⅄Ψn21=(Ψn22/Ψn21)=(38/36)=1.0^5 or 1.05
1⅄Ψn22=(Ψn23/Ψn22)=(39/38)=1.0^263157894736842105263157894736842105 or 1.0263157894736842105263157894736842105
1⅄Ψn23=(Ψn24/Ψn23)=(40/39)=^1.02564 or 1.02564 or 1.02564102564
1⅄Ψn24=(Ψn25/Ψn24)=(42/40)=1.05
1⅄Ψn25=(Ψn26/Ψn25)=(44/42)=1.^047619 or 1.047619
1⅄Ψn26=(Ψn27/Ψn26)=(45/44)=1.02^27 or 1.0227
1⅄Ψn27=(Ψn28/Ψn27)=(46/45)=1.0^2 or 1.02
1⅄Ψn28=(Ψn29/Ψn28)=(48/46)=1.^0434782608695652173913 or 1.0434782608695652173913
1⅄Ψn29=(Ψn30/Ψn29)=(49/48)=1.0208^3 or 1.02083
1⅄Ψn30=(Ψn31/Ψn30)=(50/49)=^1.02040816326530612244897959183673469387755 or ^1.02040816326530612244897959183673469387755102040816326530612244897959183673469387755
1⅄Ψn31=(Ψn32/Ψn31)=(51/50)=1.02
1⅄Ψn32=(Ψn33/Ψn32)=(52/51)=1.^0196078431372549 or 1.0196078431372549
1⅄Ψn33=(Ψn34/Ψn33)=(54/52)=1.0^384615 or 1.0384615
1⅄Ψn34=(Ψn35/Ψn34)=(56/54)=1.^037 or 1.037
1⅄Ψn35=(Ψn36/Ψn35)=(57/56)=1.017^857142 or 1.017857142
1⅄Ψn36=(Ψn37/Ψn36)=(58/57)=1.^017543859649122807 or 1.017543859649122807
1⅄Ψn37=(Ψn38/Ψn37)=(60/58)=^1.034482758620689655172413793 or 1.034482758620689655172413793
1⅄Ψn38=(Ψn39/Ψn38)=(62/60)=1.0^3 or 1.03 or 1.033 or 1.0333
1⅄Ψn39=(Ψn40/Ψn39)=(63/62)=1.0^161290322580645 or 1.0161290322580645
1⅄Ψn40=(Ψn41/Ψn40)=(64/63)=1.^015873 or 1.015873
1⅄Ψn41=(Ψn42/Ψn41)=(65/64)=1.015625
1⅄Ψn42=(Ψn43/Ψn42)=(66/65)=1.0^153846 or 1.0153846
1⅄Ψn43=(Ψn44/Ψn43)=(68/66)=1.^03 or 1.03
1⅄Ψn44=(Ψn45/Ψn44)=(69/68)=1.01^4705882352941176 or 1.014705882352941176
1⅄Ψn45=(Ψn46/Ψn45)=(70/69)=^1.014492753623188405797 or 1.0144927536231884057971014492753623188405797
1⅄Ψn46=(Ψn47/Ψn46)=(72/70)=1.0^285714 or 1.0285714
1⅄Ψn47=(Ψn48/Ψn47)=(74/72)=1.02^7 or 1.027
1⅄Ψn48=(Ψn49/Ψn48)=(75/74)=1.0^135 or 1.0135
1⅄Ψn49=(Ψn50/Ψn49)=(76/75)=1.01^3 or 1.013
1⅄Ψn50=(Ψn51/Ψn50)=(77/76)=1.01^315789473684210526 or 1.01315789473684210526
1⅄Ψn51=(Ψn52/Ψn51)=(78/77)=1.^012987 or 1.012987
1⅄Ψn51=(Ψn53/Ψn52)=(80/78)=^1.02564 or 1.02564102564
1⅄Ψn53=(Ψn54/Ψn53)=(81/80)=1.0125
1⅄Ψn54=(Ψn55/Ψn54)=(82/81)=1.^012345679 or 1.012345679
1⅄Ψn55=(Ψn56/Ψn55)=(84/82)=1.^02439 or 1.02439
1⅄Ψn56=(Ψn57/Ψn56)=(85/84)=1.01^190476 or 1.01190476
1⅄Ψn57=(Ψn58/Ψn57)=(86/85)=1.0^1176470588235294 or 1.0^1176470588235294
1⅄Ψn58=(Ψn59/Ψn58)=(87/86)=1.0^116279069767441860465 or 1.0116279069767441860465
1⅄Ψn59=(Ψn60/Ψn59)=(88/87)=1.^0114942528735632183908045977 or 1.0114942528735632183908045977
1⅄Ψn60=(Ψn61/Ψn60)=(90/88)=1.02^27 or 1.0227
1⅄Ψn61=(Ψn62/Ψn61)=(91/90)=1.0^1 or 1.01 or 1.011 or 1.0111
1⅄Ψn62=(Ψn63/Ψn62)=(92/91)=1.^010989 or 1.010989
1⅄Ψn63=(Ψn64/Ψn63)=(93/92)=1.01^0869565217391304347826 or 1.010869565217391304347826
1⅄Ψn64=(Ψn65/Ψn64)=(94/93)=1.^010752688172043 or 1.010752688172043
1⅄Ψn65=(Ψn66/Ψn65)=(95/94)=1.0^1063829787234042553191489361702127659574468085 or 1.01063829787234042553191489361702127659574468085
1⅄Ψn66=(Ψn67/Ψn66)=(96/95)=1.0^105263157894736842 or 1.0105263157894736842
1⅄Ψn67=(Ψn68/Ψn67)=(98/96)=1.0208^3 or 1.02083
1⅄Ψn68=(Ψn69/Ψn68)=(99/98)=1.0^102040816326530612244897959183673469387755 or 1.0102040816326530612244897959183673469387755
1⅄Ψn69=(Ψn70/Ψn69)=(100/99)=1.^01 or 1.01 or 1.0101 or 1.010101
and so on for variables of 1⅄Ψn
Then
2⅄Ψn1=(Ψn1/Ψn2)=(4/6)=0.^6 or 0.6
2⅄Ψn2=(Ψn2/Ψn3)=(6/9)=0.^6 or 0.6
2⅄Ψn3=(Ψn3/Ψn4)=(9/10)=0.9
2⅄Ψn4=(Ψn4/Ψn5)=(10/12)=0.8^3 or 0.83
2⅄Ψn5=(Ψn5/Ψn6)=(12/14)=0.^857142 or 0.857142
2⅄Ψn6=(Ψn6/Ψn7)=(14/15)=0.9^3 or 0.93
2⅄Ψn7=(Ψn7/Ψn8)=(15/16)=0.9375
2⅄Ψn8=(Ψn8/Ψn9)=(16/18)=0.^8 or 0.8
2⅄Ψn9=(Ψn9/Ψn10)=(18/20)=0.9
2⅄Ψn10=(Ψn10/Ψn11)=(20/22)=0.9^09 or 0.909
2⅄Ψn11=(Ψn11/Ψn12)=(22/24)=0.91^6 or 0.916
2⅄Ψn12=(Ψn12/Ψn13)=(24/25)=0.96
2⅄Ψn13=(Ψn13/Ψn14)=(25/26)=0.9^615384 or 0.9615384
2⅄Ψn14=(Ψn14/Ψn15)=(26/27)=0.^962 or 0.962
2⅄Ψn15=(Ψn15/Ψn16)=(27/28)=0.96^428571 or 0.96428571
2⅄Ψn16=(Ψn16/Ψn17)=(28/30)=0.9^3 or 0.93
2⅄Ψn17=(Ψn17/Ψn18)=(30/32)=0.9375
2⅄Ψn18=(Ψn18/Ψn19)=(32/33)=0.^96 or 0.96
2⅄Ψn19=(Ψn19/Ψn20)=(33/35)=0.9^428571 or 0.9428571
2⅄Ψn20=(Ψn20/Ψn21)=(35/36)=0.97^2 or 0.972
and so on for variables of 2⅄Ψn
⅄ᐱ∀Ψ complex for all for any equations of psi specific numerals can then be factored to a library of psi Ψ and many paths the variables can be quantified with.
Then
1⅄2Ψn1 of 1⅄Ψn=(1⅄Ψn2/1⅄Ψn1)=(1.5/1.5)=1
1⅄2Ψn2 of 1⅄Ψn=(1⅄Ψn3/1⅄Ψn2)=(1.1/1.5)=0.7^3 or 0.73 and 1⅄2Ψn2 of 1⅄Ψn=(1⅄Ψn3c2/1⅄Ψn2)=(1.11/1.5)=0.74 and 1⅄2Ψn2 of 1⅄Ψn=(1⅄Ψn3c3/1⅄Ψn2)=(1.111/1.5)=0.740^6 or 0.7406 and so on for cn variable of 1⅄2Ψn2 of 1⅄Ψn
1⅄2Ψn3 of 1⅄Ψn=(1⅄Ψn4/1⅄Ψn3)=(1.2/1.1)=1.^09 or 1.09
1⅄2Ψn4 of 1⅄Ψn=(1⅄Ψn5/1⅄Ψn4)=(1.16/1.2)=0.9^6 or 0.96
1⅄2Ψn5 of 1⅄Ψn=(1⅄Ψn6/1⅄Ψn5)=(1.0714285/1.16)=0.9236452^58620689655172413793103448275862068965517241379310344827
or
0.923645258620689655172413793103448275862068965517241379310344827
1⅄2Ψn6 of 1⅄Ψn=(1⅄Ψn7/1⅄Ψn6)=(1.06/1.0714285)
1⅄2Ψn7 of 1⅄Ψn=(1⅄Ψn8/1⅄Ψn7)=(1.125/1.06)
1⅄2Ψn8 of 1⅄Ψn=(1⅄Ψn9/1⅄Ψn8)=(1.1/1.125)
1⅄2Ψn9 of 1⅄Ψn=(1⅄Ψn10/1⅄Ψn9)=(1.1/1.1)
1⅄2Ψn10 of 1⅄Ψn=(1⅄Ψn11/1⅄Ψn10)=(1.09/1.1)
1⅄2Ψn11 of 1⅄Ψn=(1⅄Ψn12/1⅄Ψn11)=(1.0416/1.09)
1⅄2Ψn12 of 1⅄Ψn=(1⅄Ψn13/1⅄Ψn12)=(1.04/1.0416)
1⅄2Ψn13 of 1⅄Ψn=(1⅄Ψn14/1⅄Ψn13)=(1.0384615/1.04)
1⅄2Ψn14 of 1⅄Ψn=(1⅄Ψn15/1⅄Ψn14)=(1.037/1.0384615)
1⅄2Ψn15 of 1⅄Ψn=(1⅄Ψn16/1⅄Ψn15)=(1.0714285/1.037)
1⅄2Ψn16 of 1⅄Ψn=(1⅄Ψn17/1⅄Ψn16)=(1.06/1.0714285)
1⅄2Ψn17 of 1⅄Ψn=(1⅄Ψn18/1⅄Ψn17)=(1.03125/1.06)
1⅄2Ψn18 of 1⅄Ψn=(1⅄Ψn19/1⅄Ψn18)=(1.06/1.03125)
1⅄2Ψn19 of 1⅄Ψn=(1⅄Ψn20/1⅄Ψn19)=(1.0285714/1.06)
and so on for c1 of cn variables factoring for 1⅄2Ψn of 1⅄Ψn from Ψ base numerals.
Then
2⅄2Ψn1 of 1⅄Ψn=(1⅄Ψn1/1⅄Ψn2)=(1.5/1.5)=1
2⅄2Ψn2 of 1⅄Ψn=(1⅄Ψn2/1⅄Ψn3)=(1.5/1.1)=1.^36 or 1.36
2⅄2Ψn3 of 1⅄Ψn=(1⅄Ψn3/1⅄Ψn4)=(1.1/1.2)=0.91^6 or 0.916
2⅄2Ψn4 of 1⅄Ψn=(1⅄Ψn4/1⅄Ψn5)=(1.2/1.16)=^1.034482758620689655172413793 or 1.0344827586206896551724137931034482758620689655172413793
2⅄2Ψn5 of 1⅄Ψn=(1⅄Ψn5/1⅄Ψn6)=(1.16/1.0714285)
2⅄2Ψn6 of 1⅄Ψn=(1⅄Ψn6/1⅄Ψn7)=(1.0714285/1.06)
2⅄2Ψn7 of 1⅄Ψn=(1⅄Ψn7/1⅄Ψn8)=(1.06/1.125)
2⅄2Ψn8 of 1⅄Ψn=(1⅄Ψn8/1⅄Ψn9)=(1.125/1.1)
2⅄2Ψn9 of 1⅄Ψn=(1⅄Ψn9/1⅄Ψn10)=(1.1/1.1)
2⅄2Ψn10 of 1⅄Ψn=(1⅄Ψn10/1⅄Ψn11)=(1.1/1.09)
2⅄2Ψn11 of 1⅄Ψn=(1⅄Ψn11/1⅄Ψn12)=(1.09/1.0416)
2⅄2Ψn12 of 1⅄Ψn=(1⅄Ψn12/1⅄Ψn13)=(1.0416/1.04)
2⅄2Ψn13 of 1⅄Ψn=(1⅄Ψn13/1⅄Ψn14)=(1.04/1.0384615)
2⅄2Ψn14 of 1⅄Ψn=(1⅄Ψn14/1⅄Ψn15)=(1.0384615/1.037)
2⅄2Ψn15 of 1⅄Ψn=(1⅄Ψn15/1⅄Ψn16)=(1.037/1.0714285)
2⅄2Ψn16 of 1⅄Ψn=(1⅄Ψn16/1⅄Ψn17)=(1.0714285/1.06)
2⅄2Ψn17 of 1⅄Ψn=(1⅄Ψn17/1⅄Ψn18)=(1.06/1.03125)
2⅄2Ψn18 of 1⅄Ψn=(1⅄Ψn18/1⅄Ψn19)=(1.03125/1.06)
2⅄2Ψn19 of 1⅄Ψn=(1⅄Ψn19/1⅄Ψn20)=(1.06/1.0285714)
and so on for c1 of cn variables factoring for 2⅄2Ψn of 1⅄Ψn from Ψ base numerals.
Then
1⅄2Ψn1 of 2⅄Ψn=(2⅄Ψn2/2⅄Ψn1)=(0.6/0.6)=1
1⅄2Ψn2 of 2⅄Ψn=(2⅄Ψn3/2⅄Ψn2)=(0.9/0.6)=1.5
1⅄2Ψn3 of 2⅄Ψn=(2⅄Ψn4/2⅄Ψn3)=(0.83/0.9)=0.9^2 or 0.92
1⅄2Ψn4 of 2⅄Ψn=(2⅄Ψn5/2⅄Ψn4)=(0.857142/0.83)=1.0327^01204819277108433734939759036144578313253 or 1.032701204819277108433734939759036144578313253
1⅄2Ψn5 of 2⅄Ψn=(2⅄Ψn6/2⅄Ψn5)=(0.93/0.857142)=^1.08500 or 1.08500108500
1⅄2Ψn6 of 2⅄Ψn=(2⅄Ψn7/2⅄Ψn6)=(0.9375/0.93)=1.00^806451612903225 or 1.00806451612903225
1⅄2Ψn7 of 2⅄Ψn=(2⅄Ψn8/2⅄Ψn7)=(0.8/0.9375)
1⅄2Ψn8 of 2⅄Ψn=(2⅄Ψn9/2⅄Ψn8)=(0.9/0.8)
1⅄2Ψn9 of 2⅄Ψn=(2⅄Ψn10/2⅄Ψn9)=(0.909/0.9)
1⅄2Ψn10 of 2⅄Ψn=(2⅄Ψn11/2⅄Ψn10)=(0.916/0.909)
1⅄2Ψn11 of 2⅄Ψn=(2⅄Ψn12/2⅄Ψn11)=(0.96/0.916)
1⅄2Ψn12 of 2⅄Ψn=(2⅄Ψn13/2⅄Ψn12)=(0.9615384/0.96)
1⅄2Ψn13 of 2⅄Ψn=(2⅄Ψn14/2⅄Ψn13)=(0.962/0.9615384)
1⅄2Ψn14 of 2⅄Ψn=(2⅄Ψn15/2⅄Ψn14)=(0.96428571/0.962)
1⅄2Ψn15 of 2⅄Ψn=(2⅄Ψn16/2⅄Ψn15)=(0.93/0.96428571)
1⅄2Ψn16 of 2⅄Ψn=(2⅄Ψn17/2⅄Ψn16)=(0.9375/0.93)
1⅄2Ψn17 of 2⅄Ψn=(2⅄Ψn18/2⅄Ψn17)=(0.96/0.9375)
1⅄2Ψn18 of 2⅄Ψn=(2⅄Ψn19/2⅄Ψn18)=(0.9428571/0.96)
1⅄2Ψn19 of 2⅄Ψn=(2⅄Ψn20/2⅄Ψn19)=(0.972/0.9428571)
and so on for c1 of cn variables factoring for 1⅄2Ψn of 2⅄Ψn from Ψ base numerals.
while
2⅄2Ψn1 of 2⅄Ψn=(2⅄Ψn1/2⅄Ψn2)=(0.6/0.6)=1
2⅄2Ψn2 of 2⅄Ψn=(2⅄Ψn2/2⅄Ψn3)=(0.6/0.9)=0.^6 or 0.6
2⅄2Ψn3 of 2⅄Ψn=(2⅄Ψn3/2⅄Ψn4)=(0.9/0.83)=^1.0843373493975903614457831325301204819277 or 1.084337349397590361445783132530120481927710843373493975903614457831325301204819277
2⅄2Ψn4 of 2⅄Ψn=(2⅄Ψn4/2⅄Ψn5)=(0.83/0.857142)=^0.96833430166763500 or 0.96833430166763500096833430166763500
2⅄2Ψn5 of 2⅄Ψn=(2⅄Ψn5/2⅄Ψn6)=(0.857142/0.93)=0.92165^806451612903225 or 0.92165806451612903225
2⅄2Ψn6 of 2⅄Ψn=(2⅄Ψn6/2⅄Ψn7)=(0.93/0.9375)=0.992
2⅄2Ψn7 of 2⅄Ψn=(2⅄Ψn7/2⅄Ψn8)=(0.9375/0.8)
2⅄2Ψn8 of 2⅄Ψn=(2⅄Ψn8/2⅄Ψn9)=(0.8/0.9)
2⅄2Ψn9 of 2⅄Ψn=(2⅄Ψn9/2⅄Ψn10)=(0.9/0.909)
2⅄2Ψn10 of 2⅄Ψn=(2⅄Ψn10/2⅄Ψn11)=(0.909/0.916)
2⅄2Ψn11 of 2⅄Ψn=(2⅄Ψn11/2⅄Ψn12)=(0.916/0.96)
2⅄2Ψn12 of 2⅄Ψn=(2⅄Ψn12/2⅄Ψn13)=(0.96/0.9615384)
2⅄2Ψn13 of 2⅄Ψn=(2⅄Ψn13/2⅄Ψn14)=(0.9615384/0.962)
2⅄2Ψn14 of 2⅄Ψn=(2⅄Ψn14/2⅄Ψn15)=(0.962/0.96428571)
2⅄2Ψn15 of 2⅄Ψn=(2⅄Ψn15/2⅄Ψn16)=(0.96428571/0.93)
2⅄2Ψn16 of 2⅄Ψn=(2⅄Ψn16/2⅄Ψn17)=(0.93/0.9375)
2⅄2Ψn17 of 2⅄Ψn=(2⅄Ψn17/2⅄Ψn18)=(0.9375/0.96)
2⅄2Ψn18 of 2⅄Ψn=(2⅄Ψn18/2⅄Ψn19)=(0.96/0.9428571)
2⅄2Ψn19 of 2⅄Ψn=(2⅄Ψn19/2⅄Ψn20)=(0.9428571/0.972)
and so on for c1 of cn variables factoring for 2⅄2Ψn of 2⅄Ψn from Ψ base numerals.
So from set ∈Ψ psi base of paths 1⅄ and 2⅄ we have base sets of variables
∈Ψ
∈1⅄Ψn
∈2⅄Ψn
∈1⅄ of ∈1⅄Ψn
∈1⅄ of ∈2⅄Ψn
∈2⅄ of ∈1⅄Ψn
∈2⅄ of ∈2⅄Ψn
and
∈3⅄Ψn applicable as a path of factoring to variables from sets
∈1⅄Ψn
∈2⅄Ψn
∈1⅄ of ∈1⅄Ψn
∈1⅄ of ∈2⅄Ψn
∈2⅄ of ∈1⅄Ψn
∈2⅄ of ∈2⅄Ψn
and so on for variable factors of cn to set bases ∈1⅄Ψn and ∈2⅄Ψn
As these N for number symbols represent numbers then for numbers 0 through 11 are
Y, Y, Y&P, Y&P, Ψ, Y&P, Ψ, P, Y, Ψ, Ψ, P
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
Yn1, Yn2, Yn3&Pn1, Yn4&Pn2, Ψn1, Yn5&Pn3, Ψn2, Pn4, Yn6, Ψn3, Ψn4, Pn5
and so on for sets ∈Y, ∈P, ∈Ψ of whole numbers bases definable and variables in quantum field fractal polarization math.
So then as these variables from sets are definable and numerable as consecutive values, then the numbers are as well applicable to other math functions. Path Functions ⅄ncn ⅄X 1⅄ 2⅄ 3⅄ncn +⅄ 1-⅄ 2-⅄ ∀ of set ∈Ψ variables applied with variable sets A B D E F G H I J K L M O P Q R S T U V W X Y Z φ Θ Ψ for complex numerals ᐱ ᗑ ∘⧊° ∘∇°
∈1⅄ᐱ(Ψn2/An1), ∈1⅄ᐱ(Ψn2/Bn1), ∈1⅄ᐱ(Ψn2/Dn1), ∈1⅄ᐱ(Ψn2/En1), ∈1⅄ᐱ(Ψn2/Fn1), ∈1⅄ᐱ(Ψn2/Gn1), ∈1⅄ᐱ(Ψn2/Hn1), ∈1⅄ᐱ(Ψn2/In1), ∈1⅄ᐱ(Ψn2/Jn1), ∈1⅄ᐱ(Ψn2/Kn1), ∈1⅄ᐱ(Ψn2/Ln1), ∈1⅄ᐱ(Ψn2/Mn1), ∈1⅄ᐱ(Ψn2/Nn1), ∈1⅄ᐱ(Ψn2/On1), ∈1⅄ᐱ(Ψn2/Pn1), ∈1⅄ᐱ(Ψn2/Qn1), ∈1⅄ᐱ(Ψn2/Rn1), ∈1⅄ᐱ(Ψn2/Sn1), ∈1⅄ᐱ(Ψn2/Tn1),∈1⅄ᐱ(Ψn2/Un1), ∈1⅄ᐱ(Ψn2/Vn1), ∈1⅄ᐱ(Ψn2/Wn1), ∈1⅄ᐱ(Ψn2/Yn1), ∈1⅄ᐱ(Ψn2/Zn1), ∈1⅄ᐱ(Ψn2/φn1), ∈1⅄ᐱ(Ψn2/Θn1), ∈1⅄ᐱ(Ψn2/Ψn1), ∈1⅄ᐱ(Ψn2/ᐱn1), ∈1⅄ᐱ(Ψn2/ᗑn1), ∈1⅄ᐱ(Ψn2/∘⧊°n1), ∈1⅄ᐱ(Ψn2/∘∇°n1)
∈2⅄ᐱ(Ψn1/An2), ∈2⅄ᐱ(Ψn1/Bn2), ∈2⅄ᐱ(Ψn1/Dn2), ∈2⅄ᐱ(Ψn1/En2), ∈2⅄ᐱ(Ψn1/Fn2), ∈2⅄ᐱ(Ψn1/Gn2), ∈2⅄ᐱ(Ψn1/Hn2), ∈2⅄ᐱ(Ψn1/In2), ∈2⅄ᐱ(Ψn1/Jn2), ∈2⅄ᐱ(Ψn1/Kn2), ∈2⅄ᐱ(Ψn1/Ln2), ∈2⅄ᐱ(Ψn1/Mn2), ∈2⅄ᐱ(Ψn1/Nn2), ∈2⅄ᐱ(Ψn1/On2), ∈2⅄ᐱ(Ψn1/Pn2), ∈2⅄ᐱ(Ψn1/Qn2), ∈2⅄ᐱ(Ψn1/Rn2), ∈2⅄ᐱ(Ψn1/Sn2), ∈2⅄ᐱ(Ψn1/Tn2),∈2⅄ᐱ(Ψn1/Un2), ∈2⅄ᐱ(Ψn1/Vn2), ∈2⅄ᐱ(Ψn1/Wn2), ∈2⅄ᐱ(Ψn1/Yn2), ∈2⅄ᐱ(Ψn/Zn), ∈n⅄ᐱ(Ψn/φn), ∈n⅄ᐱ(Ψn/Θn), ∈n⅄ᐱ(Ψncn/Ψncn), ∈n⅄ᐱ(Ψncn/ᐱncn), ∈n⅄ᐱ(Ψncn/ᗑncn), ∈n⅄ᐱ(Ψncn/∘⧊°ncn), ∈n⅄ᐱ(Ψncn/∘∇°ncn)
∈n⅄ᐱ(Ψn/An), ∈n⅄ᐱ(Ψn/Bn), ∈n⅄ᐱ(Ψn/Dn), ∈n⅄ᐱ(Ψn/En), ∈n⅄ᐱ(Ψn/Fn), ∈n⅄ᐱ(Ψn/Gn), ∈n⅄ᐱ(Ψn/Hn), ∈n⅄ᐱ(Ψn/In), ∈n⅄ᐱ(Ψn/Jn), ∈n⅄ᐱ(Ψn/Kn), ∈n⅄ᐱ(Ψn/Ln), ∈n⅄ᐱ(Ψn/Mn), ∈n⅄ᐱ(Ψn/Nn), ∈n⅄ᐱ(Ψn/On), ∈n⅄ᐱ(Ψn/Pn), ∈n⅄ᐱ(Ψn/Qn), ∈n⅄ᐱ(Ψn/Rn), ∈n⅄ᐱ(Ψn/Sn), ∈n⅄ᐱ(Ψn/Tn),∈n⅄ᐱ(Ψn/Un), ∈n⅄ᐱ(Ψn/Vn), ∈n⅄ᐱ(Ψn/Wn), ∈n⅄ᐱ(Ψn/Yn), ∈n⅄ᐱ(Ψn/Zn), ∈n⅄ᐱ(Ψn/φn), ∈n⅄ᐱ(Ψn/Θn), ∈n⅄ᐱ(Ψncn/Ψncn), ∈n⅄ᐱ(Ψncn/ᐱncn), ∈n⅄ᐱ(Ψncn/ᗑncn), ∈n⅄ᐱ(Ψncn/∘⧊°ncn), ∈n⅄ᐱ(Ψncn/∘∇°ncn)
while path 3⅄ncn is not applicable to whole number variables with no decimal stem repeating numerals of set variables ∈n⅄ᐱ(Ψncn/Ψncn), 3⅄ncn is applicable with set variables of ∈n⅄ᐱ(1⅄Ψncn/1⅄Ψncn), and ∈n⅄ᐱ(2⅄Ψncn/2⅄Ψncn) such that 1⅄Ψ and 2⅄Ψ are ratios of consecutive numbers of Ψ base that are not Y base nor are these P prime base numerals and are unique. (N) numbers such as 1⅄2Ψ and 2⅄2Ψ are ratios of a second tier of ratios quotient derived from ratios divided by ratios defined at cn of each variable.
if ⅄ncn=(⅄nncn)(ncn) then ⅄Ψncn=(⅄Ψncn)(ncn) is a a multiple exponent variable dependent on the definition of path set variable cn of ⅄Ψn if it is not a base set variable of Ψ.
if 1X⅄=(n2xn1) then
∈n⅄Xᐱ(ΨnxAn), ∈n⅄Xᐱ(ΨnxBn), ∈n⅄Xᐱ(ΨnxDn), ∈n⅄Xᐱ(ΨnxEn), ∈n⅄Xᐱ(ΨnxFn), ∈n⅄Xᐱ(ΨnxGn), ∈n⅄Xᐱ(ΨnxHn), ∈n⅄Xᐱ(ΨnxIn), ∈n⅄Xᐱ(ΨnxJn), ∈n⅄Xᐱ(ΨnxKn), ∈n⅄Xᐱ(ΨnxLn), ∈n⅄Xᐱ(ΨnxMn), ∈n⅄Xᐱ(ΨnxNn), ∈n⅄Xᐱ(ΨnxOn), ∈n⅄Xᐱ(ΨnxPn), ∈n⅄Xᐱ(ΨnxQn), ∈n⅄Xᐱ(ΨnxRn), ∈n⅄Xᐱ(ΨnxSn), ∈n⅄Xᐱ(ΨnxTn),∈n⅄Xᐱ(ΨnxUn), ∈n⅄Xᐱ(ΨnxVn), ∈n⅄Xᐱ(ΨnxWn), ∈n⅄Xᐱ(ΨnxYn), ∈n⅄Xᐱ(ΨnxZn), ∈n⅄Xᐱ(Ψnxφn), ∈n⅄Xᐱ(ΨnxΘn), ∈n⅄Xᐱ(ΨncnxΨncn), ∈n⅄Xᐱ(Ψncnxᐱncn), ∈n⅄Xᐱ(Ψncnxᗑncn), ∈n⅄Xᐱ(Ψncnx∘⧊°ncn), ∈n⅄Xᐱ(Ψncnx∘∇°ncn)
if +⅄=(nncn+nncn) then
∈n+⅄ᐱ(Ψn+An), ∈n+⅄ᐱ(Ψn+Bn), ∈n+⅄ᐱ(Ψn+Dn), ∈n+⅄ᐱ(Ψn+En), ∈n+⅄ᐱ(Ψn+Fn), ∈n+⅄ᐱ(Ψn+Gn), ∈n+⅄ᐱ(Ψn+Hn), ∈n+⅄ᐱ(Ψn+In), ∈n+⅄ᐱ(Ψn+Jn), ∈n+⅄ᐱ(Ψn+Kn), ∈n+⅄ᐱ(Ψn+Ln), ∈n+⅄ᐱ(Ψn+Mn), ∈n+⅄ᐱ(Ψn+Nn), ∈n+⅄ᐱ(Ψn+On), ∈n+⅄ᐱ(Ψn+Pn), ∈n+⅄ᐱ(Ψn+Qn), ∈n+⅄ᐱ(Ψn+Rn), ∈n+⅄ᐱ(Ψn+Sn), ∈n+⅄ᐱ(Ψn+Tn),∈n+⅄ᐱ(Ψn+Un), ∈n+⅄ᐱ(Ψn+Vn), ∈n+⅄ᐱ(Ψn+Wn), ∈n+⅄ᐱ(Ψn+Yn), ∈n+⅄ᐱ(Ψn+Zn), ∈n+⅄ᐱ(Ψn+φn), ∈n+⅄ᐱ(Ψn+Θn), ∈n+⅄ᐱ(Ψn+Ψn), ∈n+⅄ᐱ(Ψncn+ᐱncn), ∈n+⅄ᐱ(Ψncn+ᗑncn), ∈n+⅄ᐱ(Ψncn+∘⧊°ncn), ∈n+⅄ᐱ(Ψncn+∘∇°ncn)
if 1-⅄=(n2-n1) then
∈1-⅄ᐱ(Ψn2-An1), ∈1-⅄ᐱ(Ψn2-Bn1), ∈1-⅄ᐱ(Ψn2-Dn1), ∈1-⅄ᐱ(Ψn2-En1), ∈1-⅄ᐱ(Ψn2-Fn1), ∈1-⅄ᐱ(Ψn2-Gn1), ∈1-⅄ᐱ(Ψn2-Hn1), ∈1-⅄ᐱ(Ψn2-In1), ∈1-⅄ᐱ(Ψn2-Jn1), ∈1-⅄ᐱ(Ψn2-Kn1), ∈1-⅄ᐱ(Ψn2-Ln1), ∈1-⅄ᐱ(Ψn2-Mn1), ∈1-⅄ᐱ(Ψn2-Nn1), ∈1-⅄ᐱ(Ψn2-On1), ∈1-⅄ᐱ(Ψn2-Pn1), ∈1-⅄ᐱ(Ψn2-Qn1), ∈1-⅄ᐱ(Ψn2-Rn1), ∈1-⅄ᐱ(Ψn2-Sn1), ∈1-⅄ᐱ(Ψn2-Tn1),∈1-⅄ᐱ(Ψn2-Un1), ∈1-⅄ᐱ(Ψn2-Vn1), ∈1-⅄ᐱ(Ψn2-Wn1), ∈1-⅄ᐱ(Ψn2-Yn1), ∈1-⅄ᐱ(Ψn2-Zn1), ∈1-⅄ᐱ(Ψn2-φn1), ∈1-⅄ᐱ(Ψn2-Θn1), ∈1-⅄ᐱ(Ψn2-Ψn1), ∈1-⅄ᐱ(Ψn2cn-ᐱn1cn), ∈1-⅄ᐱ(Ψn2cn-ᗑn1cn), ∈1-⅄ᐱ(Ψn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Ψn2cn-∘∇°n1cn)
if 2-⅄=(n1-n2) then
∈2-⅄ᐱ(Ψn1-An2), ∈2-⅄ᐱ(Ψn1-Bn2), ∈2-⅄ᐱ(Ψn1-Dn2), ∈2-⅄ᐱ(Ψn1-En2), ∈2-⅄ᐱ(Ψn1-Fn2), ∈2-⅄ᐱ(Ψn1-Gn2), ∈2-⅄ᐱ(Ψn1-Hn2), ∈2-⅄ᐱ(Ψn1-In2), ∈2-⅄ᐱ(Ψn1-Jn2), ∈2-⅄ᐱ(Ψn1-Kn2), ∈2-⅄ᐱ(Ψn1-Ln2), ∈2-⅄ᐱ(Ψn1-Mn2), ∈2-⅄ᐱ(Ψn1-Nn2), ∈2-⅄ᐱ(Ψn1-On2), ∈2-⅄ᐱ(Ψn1-Pn2), ∈2-⅄ᐱ(Ψn1-Qn2), ∈2-⅄ᐱ(Ψn1-Rn2), ∈2-⅄ᐱ(Ψn1-Sn2), ∈2-⅄ᐱ(Ψn1-Tn2),∈2-⅄ᐱ(Ψn1-Un2), ∈2-⅄ᐱ(Ψn1-Vn2), ∈2-⅄ᐱ(Ψn1-Wn2), ∈2-⅄ᐱ(Ψn1-Yn2), ∈2-⅄ᐱ(Ψn1-Zn2), ∈2-⅄ᐱ(Ψn1-φn2), ∈2-⅄ᐱ(Ψn1-Θn2), ∈2-⅄ᐱ(Ψn1-Ψn2), ∈2-⅄ᐱ(Ψn1cn-ᐱn2cn), ∈2-⅄ᐱ(Ψn1cn-ᗑn2cn), ∈2-⅄ᐱ(Ψn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Ψn1cn-∘∇°n2cn)
and if 3-⅄=(nncn-nncn) then the cn factor difference is critical to the precision value of that path function subtraction difference for any 3-⅄=(⅄Ψncn-⅄Ψncn) variables just as the cn variable factor is crucial for path set division function 3⅄=(⅄Ψncn/⅄Ψncn) when pertaining to variables of path psi 1⅄Ψ and 2⅄Ψ rather than base Ψ variable whole numbers. The cn factor is important for accurate addition function equations where a cn factor is applicable as well with addition path psi 1⅄Ψncn and 2⅄Ψncn
n⅄∀n(NncnxnΨncn), n⅄∀n(Nncn/nΨncn), n⅄∀n(Nncn+nΨncn), and n⅄∀n(Nncn-nΨncn) functions for all or for any variables of sequential variables in sets of psi non prime non fibonacci variable quotient functions of complex values n⅄ncn(nΨncn)(n) determined on cn definition in the ratios.
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