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1 decimal integer ring cycle of many
Quantum Field Fractal Polarization Math Constants
nemeth braille printable arx calc
ᐱ Y φ Θ P Q Ψ
condensed matter
Complex sets of Y Phi Theta Prime Q Psi Quotient Based Numerals
nu mer numer i call numerical nomenclature & arc ratio constants
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
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.