Variable factors described on 1dir for basic path variant bases.
Consider this page a speed square of arc constants that are real numbers in decimal computational factoring and non theoretical. Fair Warning copy paste exchange may be completely inaccurate in your use of the values listed.
These numbers are from a quick math calculated in a paper notebook hand written then entered to a digital note book and it is recommended only for explanation of structures to variables in quantum field fractal polarization mathematics.
Multiples of these numerals times whole numbers and exponents addition or subtraction will produce an extensive library of numerals when properly defined just as the division definitions provide to the degrees of cycles at stem Cn just as these numerals multiplied with other ratios or added and subtracted or exponentially factored with division defined numerals.
A List
φ represents ∈1⅄(Y2/Y1) a number of fibonacci number scale Y later divided by previous number of consecutive fibonacci number scale Y
Θ represents ∈2⅄(Y1/Y2) a number of fibonacci number scale Y previous divided by later number of consecutive fibonacci number scale Y
A represents ∈1⅄(φ/Q)cn
B represents ∈2⅄(φ/Θ)cn
C represents cycles of a decimal repeating numeral string stem applicable to ratio variants
D represents ∈1⅄(φ/Θ)cn
E represents ∈1⅄(Θ/Q)cn
F represents ∈2⅄(Θ/Q)cn
G represents ∈2⅄(Θ/φ)cn
H represents ∈2⅄(Q/Θ)cn
I represents ∈1⅄(Q/Θ)cn
J represents ∈2⅄(2⅄Qn1/1⅄Qn2)cn
K represents ∈2⅄(1⅄Qn1/2⅄Qn2)cn
L represents ∈1⅄(1⅄Qn2/2⅄Qn1)cn
M represents ∈2⅄(φ/Q)cn
N represents a number
O represents ∈1⅄(Θ/φ)cn
P represents a prime number
Q represents a prime divided by a prime ratio (P/P) for 1⅄Q and 2⅄Q
R represents ∈(φ/P)cn
S represents ∈(P/Θ)cn
T represents ∈(Θ/P)cn
U represents ∈1⅄(2⅄Qn2/1⅄Qn1)cn
V represents ∈1⅄(Q/φ)cn
W represents ∈2⅄(Q/φ)cn
X represents a multiplication function of variable ratios using precision factoring of Nncn
Y represents a number of fibonacci number scale Y plus the previous number from 0,1,1,2,3,5,8,13 . . . and so on.
Z represents ∈(P/φ)cn
ᐱ represents a ratio of complex variables φ,Θ,Q,A,M,V,W,E,F,I,H,D,B,O,G,L,K,U,J,R,Z,T,S
ᗑ represents a ratio of complex variables ⅄(ᐱ/ᐱ)
∘⧊° represents quadratic 4 base variant gain to a system of variables
∘∇° represents quadratic 4 base variant loss to a system of variables
⅄ represents a division path that Nn is a number of numbers in a scale set of consecutive numbers
1⅄=(Nn2/Nn1) later divided by previous of consecutive set variables
2⅄=(Nn1/Nn2) previous divided by later of consecutive set variables
3⅄=(Nncn/Nncn) a ratio divided by the same ratio with a difference in stem cycle decimal variant to that specific ratio
⅄ncn=(⅄Nncn)(ncn) is Nncn to a multiple of Nncn exponentially
⅄X=(Nncn x Nncn) is Nncn multiplied by Nncn
+⅄=(Nncn+Nncn) is Nncn a number added with Nncn another a number
1-⅄=(N2cn-N1cn) is Nn2cn later number in a set of consecutive variables minus Nn1cn previous number in a set of consecutive variables. 2-⅄=(N1-N2) is Nn1cn previous number in a set of consecutive variables minus Nn2cn later number in a set of consecutive variables.
∈ represents a set
∀ refers to all or for any and when applied with notation for path ⅄ of consecutive variables of sets ∈ and variables of not same sets ∉.
Ψ represents unique whole numbers that are not prime numbers nor are they fibonacci numbers that are a sequential set of numerals and n⅄nΨncn represents a ratio of these numbers or n⅄(nΨncn) based on cn definition for 1Ψ, 2Ψ, 3Ψ type variables and so on from set psi ∈Ψ that are not set ∉P ∉Y ∉Q ∉φ ∉Θ variable definitions and paths.
1A
Given A=∈1⅄(φ/Q)cn
The definition of Q variable should be accurate to its defining base path where 1⅄Q and 2⅄Q, differ from prime base just as φ and Θ differ in paths 1⅄ and 2⅄ of Y base.
so
A=∈1⅄(φn2/1⅄Qn1)cn
and
A=∈1⅄(φn2/2⅄Qn1)cn
then
An1 of 1⅄(φn2/1⅄Qn1)=(1/1.5)=0.^6
An2 of 1⅄(φn3/1⅄Qn2)=(2/1.^6)=1.25 and An2 of 1⅄(φn3/1⅄Qn2c2)=(2/1.^66)=^1.2048192771084337349397590361445783132530
An3 of 1⅄(φn4/1⅄Qn3)=(1.5/1.4)=1.0^714285
An4 of 1⅄(φn5/1⅄Qn4)=(1.^6/1.^571428) and An4 of 1⅄(φn5c2/1⅄Qn4)=(1.^66/1.^571428) and An4 of 1⅄(φn5/1⅄Qn4)=(1.^6/1.^571428571428) and An4 of 1⅄(φn5/1⅄Qn4)=(1.^66/1.^571428571428) and so on for cn variant of An4 of 1⅄(φn5/1⅄Qn4)
An5 of 1⅄(φn6/1⅄Qn5)=(1.6/1.^18)=^0.988875154511742892459826946847960444993819530284301606922126081582200247218788627935723114956736711990111248454882571075401730531520395550061804697156983930778739184177997527812113720642768850432632880
An6 of 1⅄(φn7/1⅄Qn6)=(1.625/1.^307692)
An7 of 1⅄(φn8/1⅄Qn7)=(1.^615384/1.^1176470588235294)
An8 of 1⅄(φn9/1⅄Qn8)=(1.^619047/1.^210526315789473684)
An9 of 1⅄(φn10/1⅄Qn9)=(1.6^1762941/1.^268695652173913043478)
An10 of 1⅄(φn11/1⅄Qn10)=(1.6^18/1.^0689655172413793103448275862)
An11 of 1⅄(φn12/1⅄Qn11)=(1.^61797752808988764044943820224719101123595505/1.^193548387096774)
An12 of 1⅄(φn13/1⅄Qn12)=(1.6180^5/1.^108)
An13 of 1⅄(φn14/1⅄Qn13)=(1.^61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832/1.^04878)
An14 of 1⅄(φn15/1⅄Qn14)=(1.6183^0223896551724135014/1.^093023255813953488372)
An15 of 1⅄(φn16/1⅄Qn15)=(1.618^032786885245901639344262295081967213114754098360655737704918/1.^12765957446808510638297872340425531914893610702)
An16 of 1⅄(φn17/1⅄Qn16)=(1.618034447821681864235057244174265450860192502532928064842958459979736575481256332320141843^9716312056737588652482269503546099290780141843/1.^1132075471698)
An17 of 1⅄(φn18/1⅄Qn17)=(1.^6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/1.^0338983050847457627118644067796610169491525423728813559322)
An18 of 1⅄(φn19/1⅄Qn18)=(1.6180340557314241486068^11145510835913312693/1.^098360655737704918032786885245901639344262295081967213114754)
An19 of 1⅄(φn20/1⅄Qn19)=(1.6180339631667062903611576177947859363788567328390337239894762018655823965558478832791126524754843338914135374312365462807940684046878737144223872279359005022721836881128916527146615642190863429801482898828031571394403252^5711552260224826596508012437215977038985864625687634537192059315953121262855776130112413298254006218607986127720640994977278163118631906242/1.^059701492537313432835820895522388)
An20 of 1⅄(φn21/1⅄Qn20)=(1.6^1803399852/1.^02816901408450704225352112676056338)
An21 of 1⅄(φn22/1⅄Qn21)=(1.6^180339985010049351361227845806687374385163530970217431207747140526219623606797003471770509775260369084598940279554176959619952494246310067604604606248876201845441458249607162433948492782751690115110542682258359217979170473415128814180522565320665083135391923990498995066691028686278092454048985930933674403617759848364701260734516627078384799926913941183994154944291065229307509492545240288598574823679883062305865164445660515253974056276265302393568427005298739265485291430842335099579755161702905171752247414776521152932578110725379133930202813813265119678421523844346811620683354651927644821852731591449132103051342974604423716426274440178896400694319386077105773798647926365795724284672026310981/1.^08219178)
An22 of 1⅄(φn23/1⅄Qn22)=(1.6180339901755970865563773925808819377787815481903901530122522725989498052058043024109310597932923042177178024956241883575179831742984585850601321212805601038902377053814013889673084523742307040822087^96792953531703461125853989046355372367455253797075263960250691660549940714810005081587713850149624527130032183388854384280955338490203828129411100446050477104624244819603636158319631867201174411382756479024335158940771272090791033820789339958218056575009880864999153068713229066681723222855852295183784088984247078087064536163965896900231494551408729038450680368132798825588617245152729941844051719270509852633956298345660324092371972220653830987894528823894754672237592456665349218000112924171418892213878380667381853085652984021229744226751736209135565467788380102760995991191914629326407217486307944215459319067246344079950313364575687425893512506351984642312687030688912540229236067980351194173112754785161763875557563096380780306024504545197899610411608604821862119586697532606854497205126757382417706510078482299136130094291434701597877025577324826379086443453221161989723900400880808537067359268251369205578454068093275365592004968663542431257410648749364801535768731296934108745977076393201964880582688724521483823612444243690361921969397549528541584326125007057760713680763367398791711365817853311501326859014171983513070972841736773755642256224944949466433290045734289424651346620744170289650499689458528598046411834453164699904014454293941618203376432725424877194963581954717407261024222234769352375876912653153407486872565072553780136639376658573767714979391338716052170967195528202811811868330416135571678617808141832759302128620631246118231607475580147930664558748800169386257156565363107673197447913725933035966347596917170120264242561120207780475410761673536220427982609677601490599062729377223197624809440460730619389080232623793122917980589464174806617356445147083733273107108576590819264863644063011687651741798882050702952967082604031392919654452035458189825532155157811529563548077465981593360058720569137823951216757947038563604539551691039466997910902828750494043249957653435317915419795607249731805092880130992038844785726384732652024165772683642933769973462819715995708881486082095872621534639789582745186607193269713737225453108237818305008187002427869/1.^0506329113924) and so on for variables of cn to set variables beyond An22 of 1⅄(φn23/1⅄Qn22) of ∈An of ⅄(φn2/1⅄Qn1)cn
so if A=∈1⅄(φn2/1⅄Qn1)cn
and
A=∈1⅄(φn2/2⅄Qn1)cn
then
An1 of 1⅄(φn2/2⅄Qn1)=(1/0.^6)
An2 of 1⅄(φn3/2⅄Qn2)=(2/0.6)
An3 of 1⅄(φn4/2⅄Qn3)=(1.5/0.^714285)
An4 of 1⅄(φn5/2⅄Qn4)=(1.^6/0.^63)
An5 of 1⅄(φn6/2⅄Qn5)=(1.6/0.^846153)
An6 of 1⅄(φn7/2⅄Qn6)=(1.625/0.^7647058823529411)
An7 of 1⅄(φn8/2⅄Qn7)=(1.^615384/0.^894736842105263157)
An8 of 1⅄(φn9/2⅄Qn8)=(1.^619047/0.^8260869565217391304347)
An ultimate and eventual equation of A variable set then includes a function such as An1 of 1⅄(2φn2/2Qn1) or
An1 of 1⅄(3φn2/3Qn1) such that Q is a variable of further division tier paths of Q divided by Q ratios just as phi ratios are potential to definitions and variables. Then on to further complex functions of A of (φ/J), A of (φ/K), A of (φ/L), and A of (φ/U) are definable to variable set ∈A
Functions then X, +⅄, and -⅄ of set A variables φn/1⅄Qn and φn/2⅄Qn replaced where functions of division paths 1⅄, 2⅄, and 3⅄ formulate A of X(φnx1⅄Qn), A of X(φnx2⅄Qn), A of +⅄(φnx+1⅄Qn), A of +⅄(φn+2⅄Qn), A of -⅄(φn-1⅄Qn), and A of -⅄(φn-2⅄Qn) so then
if A of X(φnx1⅄Qn) and A of X(φnx2⅄Qn) then
An1 of X(φn2x1⅄Qn1)=(1x1.5)
An2 of X(φn3x1⅄Qn2)=(2x1.^6)
An3 of X(φn4x1⅄Qn3)=(1.5x1.4)
An4 of X(φn5x1⅄Qn4)=(1.^6x1.^571428)
An5 of X(φn6x1⅄Qn5)=(1.6x1.^18)
An6 of X(φn7x1⅄Qn6)=(1.625x1.^307692)
An7 of X(φn8x1⅄Qn7)=(1.^615384x1.^1176470588235294)
An8 of X(φn9x1⅄Qn8)=(1.^619047x1.^210526315789473684)
so if A of X(φn2x1⅄Qn1)cn
and
A of X(φn2x2⅄Qn1)cn
then
An1 of X(φn2x2⅄Qn1)=(1x0.^6)
An2 of X(φn3x2⅄Qn2)=(2x0.6)
An3 of X(φn4x2⅄Qn3)=(1.5x0.^714285)
An4 of X(φn5x2⅄Qn4)=(1.^6x0.^63)
An5 of X(φn6x2⅄Qn5)=(1.6x0.^846153)
An6 of X(φn7x2⅄Qn6)=(1.625x0.^7647058823529411)
An7 of X(φn8x2⅄Qn7)=(1.^615384x0.^894736842105263157)
An8 of X(φn9x2⅄Qn8)=(1.^619047x0.^8260869565217391304347)
AND IF A of +⅄(φnx+1⅄Qn) then A of +⅄(φn+2⅄Qn)then
An1 of +⅄(φn2+1⅄Qn1)=(1+1.5)
An2 of +⅄(φn3+1⅄Qn2)=(2+1.^6)
An3 of +⅄(φn4+1⅄Qn3)=(1.5+1.4)
An4 of +⅄(φn5+1⅄Qn4)=(1.^6+1.^571428)
An5 of +⅄(φn6+1⅄Qn5)=(1.6+1.^18)
An6 of +⅄(φn7+1⅄Qn6)=(1.625+1.^307692)
An7 of +⅄(φn8+1⅄Qn7)=(1.^615384+1.^1176470588235294)
An8 of +⅄(φn9+1⅄Qn8)=(1.^619047+1.^210526315789473684)
so if A of +⅄(φn2+1⅄Qn1)cn
and
A of +⅄(φn2+2⅄Qn1)cn
then
An1 of +⅄(φn2+2⅄Qn1)=(1+0.^6)
An2 of +⅄(φn3+2⅄Qn2)=(2+0.6)
An3 of +⅄(φn4+2⅄Qn3)=(1.5+0.^714285)
An4 of +⅄(φn5+2⅄Qn4)=(1.^6+0.^63)
An5 of +⅄(φn6+2⅄Qn5)=(1.6+0.^846153)
An6 of +⅄(φn7+2⅄Qn6)=(1.625+0.^7647058823529411)
An7 of +⅄(φn8+2⅄Qn7)=(1.^615384+0.^894736842105263157)
An8 of +⅄(φn9+2⅄Qn8)=(1.^619047+0.^8260869565217391304347)
AND IF A of -⅄(φnx-1⅄Qn) then A of -⅄(φn-2⅄Qn)then
An1 of -⅄(φn2-1⅄Qn1)=(1-1.5)
An2 of -⅄(φn3-1⅄Qn2)=(2-1.^6)
An3 of -⅄(φn4-1⅄Qn3)=(1.5-1.4)
An4 of -⅄(φn5-1⅄Qn4)=(1.^6-1.^571428)
An5 of -⅄(φn6-1⅄Qn5)=(1.6-1.^18)
An6 of -⅄(φn7-1⅄Qn6)=(1.625-1.^307692)
An7 of -⅄(φn8-1⅄Qn7)=(1.^615384-1.^1176470588235294)
An8 of -⅄(φn9-1⅄Qn8)=(1.^619047-1.^210526315789473684)
so if A of -⅄(φn2-1⅄Qn1)cn
and
A of -⅄(φn2-2⅄Qn1)cn
then
An1 of -⅄(φn2-2⅄Qn1)=(1-0.^6)
An2 of -⅄(φn3-2⅄Qn2)=(2-0.6)
An3 of -⅄(φn4-2⅄Qn3)=(1.5-0.^714285)
An4 of -⅄(φn5-2⅄Qn4)=(1.^6-0.^63)
An5 of -⅄(φn6-2⅄Qn5)=(1.6-0.^846153)
An6 of -⅄(φn7-2⅄Qn6)=(1.625-0.^7647058823529411)
An7 of -⅄(φn8-2⅄Qn7)=(1.^615384-0.^894736842105263157)
An8 of -⅄(φn9-2⅄Qn8)=(1.^619047-0.^8260869565217391304347)
1B
B=∈2⅄(φn1/Θn2)cn
Bn1=(φn1/Θn2)=(0/1)=0
Bn2=(φn2/Θn3)=(1/0.5)
Bn3=(φn3/Θn4)=(2/0.^6) and Bn3=(φn3/Θn4c2)=(2/0.^66) and Bn3=(φn3/Θn4c3)=(2/0.^666) and so on for variants of ncn
Bn4=(φn4/Θn5)=(1.5/0.6)
Bn5=(φn5/Θn6)=(1.^6/0.625)
Bn6=(φn6/Θn7)=(1.6/0.^615384)
Bn7=(φn7/Θn8)=(1.625/0.^619047)
Bn8=(φn8/Θn9)=(1.^615384/0.6^1764705882352941)
Bn9=(φn9/Θn10)=(1.^619047/0.6^18)
Bn10=(φn10/Θn11)=(1.6^1762941/0.^6179775280878651685393258764044943820224719101123595505)
Bn11=(φn11/Θn12)=(1.6^18/0.6180^5)
Bn12=(φn12/Θn13)=(1.^61797752808988764044943820224719101123595505/0.6180257553648064377682403433476394849785407725322060085836909871244635193133047210300429184^54935622317596566)
Bn13=(φn13/Θn14)=(1.6180^5/0.610079575596814323607427055702917771827585941644562334217506631^294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257)
Bn14=(φn14/Θn15)=(1.^61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832/0.6^18032786885245901639344262295081967213114754098360655737749)
Bn15=(φn15/Θn16)=(1.6183^0223896551724135014/0.^618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870)
Bn16=(φn16/Θn17)=(1.618^032786885245901639344262295081967213114754098360655737704918/0.^6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129)
Bn17=(φn17/Θn18)=(1.618034447821681864235057244174265450860192502532928064842958459979736575481256332320141843^9716312056737588652482269503546099290780141843/0.618^034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743)
Bn18=(φn18/Θn19)=(1.^6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/0.^618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936)
Bn19=(φn19/Θn20)=(1.6180340557314241486068^11145510835913312693/0.6^1803399852)
Bn20=(φn20/Θn21)=(1.6180339631667062903611576177947859363788567328390337239894762018655823965558478832791126524754843338914135374312365462807940684046878737144223872279359005022721836881128916527146615642190863429801482898828031571394403252^5711552260224826596508012437215977038985864625687634537192059315953121262855776130112413298254006218607986127720640994977278163118631906242/0.6^180339850173579389731408733784030696144710396491869175954686643522748035812168828795907180705280467750776539375114196966928558377489493879042572629270966563128083318107071076192216334734149460990316097204458249588890919057189841037822035446738534624520372738900054814544125708021194957061940434862050063950301479992691394116572263840672391741275351726658139959802667641147451123698154577014434496619769778914672026310981)
Bn21=(φn21/Θn22)=(1.6^1803399852/0.^618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793348766303427248602563378691208853255039241149568065044322737281915193947264411947377336118796228332674609000056462085709446106939190333690926542826492010614872113375868104567782733894190051380497995595957314663203658743153972107729659533623172039975156682287843712946756253175992321156343515329456270114)
and so on for ∈Bn1=2⅄(φn1/Θn2)ncn equations beyond Bn21 that differs from equations such as ∈Bn1of 2⅄(2φn1/2Θn2)ncn or ∈Bn1of 2⅄(1φn1/2Θn2)ncn and ∈Bn1of 2⅄(2φn1/1Θn2)ncn of ∈2⅄ᐱB(nφncn/nΘncn) sets
C
C=Ncn
C is a number of cycles in a repeating decimal stem variant potential
1D
D=∈1⅄(φn2/Θn1)cn
Dn1=(φn2/Θn1)=(1/0)=0
Dn2=(φn3/Θn2)=(2/1)=2
Dn3=(φn4/Θn3)=(1.5/0.5)=3
Dn4=(φn5/Θn4)=(1.^6/0.^6) ↓ and Dn4=(φn5c2/Θn4)=(1.^66/0.^6) and Dn4=(φn5/Θn4c2)=(1.^6/0.^66) and Dn4=(φn5c2/Θn4c2)=(1.^66/0.^66) and so on for cn
Dn5=(φn6/Θn5)=(1.6/0.6)=2.^6 or 2.6 or 2.66 or 2.666 and so on
Dn6=(φn7/Θn6)=(1.625/0.625)=2.6
Dn7=(φn8/Θn7)=(1.^615384/0.^615384)=2.^625001 or 2.625001
Dn8=(φn9/Θn8)=(1.^619047/0.^619047)=2.^615386230770846155461540076924692309307693923078538463153847769232384617000001 or 2.615386230770846155461540076924692309307693923078538463153847769232384617000001
Dn9=(φn10/Θn9)=(1.6^1762941/0.6^1764705882352941) with a quotient potential of 61,764,705,882,352,941 digits long to divisor of cn of variable Θn9 of Dn9 and Dn8=(φn9c1/Θn8c2), Dn8=(φn9c2/Θn8c2) each have quotients based on cn of Dn variables φncn/Θncn
Dn10=(φn11/Θn10)=(1.6^18/0.6^18)=2.^6181229773462783171521035598705501 or 2.6181229773462783171521035598705501
Dn11=(φn12/Θn11)=(1.^61797752808988764044943820224719101123595505/0.^6179775280878651685393258764044943820224719101123595505)
Dn12=(φn13/Θn12)=(1.6180^5/0.6180^5)
Dn13=(φn14/Θn13)=(1.^61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832/0.6180257553648064377682403433476394849785407725322060085836909871244635193133047210300429184^54935622317596566)
Dn14=(φn15/Θn14)=(1.6183^0223896551724135014/0.610079575596814323607427055702917771827585941644562334217506631^294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257)
Dn15=(φn16/Θn15)=(1.618^032786885245901639344262295081967213114754098360655737704918/0.6^18032786885245901639344262295081967213114754098360655737749)
Dn16=(φn17/Θn16)=(1.618034447821681864235057244174265450860192502532928064842958459979736575481256332320141843^9716312056737588652482269503546099290780141843/0.^618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870)
Dn17=(φn18/Θn17)=(1.^6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/0.^6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129)
Dn18=(φn19/Θn18)=(1.6180340557314241486068^11145510835913312693/0.618^034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743)
Dn19=(φn20/Θn19)=(1.6180339631667062903611576177947859363788567328390337239894762018655823965558478832791126524754843338914135374312365462807940684046878737144223872279359005022721836881128916527146615642190863429801482898828031571394403252^5711552260224826596508012437215977038985864625687634537192059315953121262855776130112413298254006218607986127720640994977278163118631906242/0.^618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936)
Dn20=(φn21/Θn20)=(1.6^1803399852/0.6^1803399852)
Dn21=(φn22/Θn21)=(1.6^180339985010049351361227845806687374385163530970217431207747140526219623606797003471770509775260369084598940279554176959619952494246310067604604606248876201845441458249607162433948492782751690115110542682258359217979170473415128814180522565320665083135391923990498995066691028686278092454048985930933674403617759848364701260734516627078384799926913941183994154944291065229307509492545240288598574823679883062305865164445660515253974056276265302393568427005298739265485291430842335099579755161702905171752247414776521152932578110725379133930202813813265119678421523844346811620683354651927644821852731591449132103051342974604423716426274440178896400694319386077105773798647926365795724284672026310981/0.6^180339850173579389731408733784030696144710396491869175954686643522748035812168828795907180705280467750776539375114196966928558377489493879042572629270966563128083318107071076192216334734149460990316097204458249588890919057189841037822035446738534624520372738900054814544125708021194957061940434862050063950301479992691394116572263840672391741275351726658139959802667641147451123698154577014434496619769778914672026310981)
Dn22=(φn23/Θn22)=(1.6180339901755970865563773925808819377787815481903901530122522725989498052058043024109310597932923042177178024956241883575179831742984585850601321212805601038902377053814013889673084523742307040822087^96792953531703461125853989046355372367455253797075263960250691660549940714810005081587713850149624527130032183388854384280955338490203828129411100446050477104624244819603636158319631867201174411382756479024335158940771272090791033820789339958218056575009880864999153068713229066681723222855852295183784088984247078087064536163965896900231494551408729038450680368132798825588617245152729941844051719270509852633956298345660324092371972220653830987894528823894754672237592456665349218000112924171418892213878380667381853085652984021229744226751736209135565467788380102760995991191914629326407217486307944215459319067246344079950313364575687425893512506351984642312687030688912540229236067980351194173112754785161763875557563096380780306024504545197899610411608604821862119586697532606854497205126757382417706510078482299136130094291434701597877025577324826379086443453221161989723900400880808537067359268251369205578454068093275365592004968663542431257410648749364801535768731296934108745977076393201964880582688724521483823612444243690361921969397549528541584326125007057760713680763367398791711365817853311501326859014171983513070972841736773755642256224944949466433290045734289424651346620744170289650499689458528598046411834453164699904014454293941618203376432725424877194963581954717407261024222234769352375876912653153407486872565072553780136639376658573767714979391338716052170967195528202811811868330416135571678617808141832759302128620631246118231607475580147930664558748800169386257156565363107673197447913725933035966347596917170120264242561120207780475410761673536220427982609677601490599062729377223197624809440460730619389080232623793122917980589464174806617356445147083733273107108576590819264863644063011687651741798882050702952967082604031392919654452035458189825532155157811529563548077465981593360058720569137823951216757947038563604539551691039466997910902828750494043249957653435317915419795607249731805092880130992038844785726384732652024165772683642933769973462819715995708881486082095872621534639789582745186607193269713737225453108237818305008187002427869/0.^618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793348766303427248602563378691208853255039241149568065044322737281915193947264411947377336118796228332674609000056462085709446106939190333690926542826492010614872113375868104567782733894190051380497995595957314663203658743153972107729659533623172039975156682287843712946756253175992321156343515329456270114)
and so on for ∈Dn=1⅄(φ/Θ)ncn equations beyond Dn22 that differs from equations such as ∈Dn1of 1⅄(2φn2/2Θn1)ncn or ∈Dn1of 1⅄(1φn2/2Θn1)ncn and ∈Dn1of 1⅄(2φn2/1Θn1)ncn of ∈1⅄ᐱD(nφncn/nΘncn) sets
1E
Given E=∈1⅄(Θ/Q)cn
The definition of Q variable should be accurate to its defining base path where 1⅄Q and 2⅄Q, differ from prime base just as φ and Θ differ in paths 1⅄ and 2⅄ of Y base.
so
E=∈1⅄(Θn2/1⅄Qn1)cn
and
E=∈1⅄(Θn2/2⅄Qn1)cn
then
En1 of 1⅄(Θn2/1⅄Qn1)=(1/1.5)
En2 of 1⅄(Θn3/1⅄Qn2)=(0.5/1.^6)
En3 of 1⅄(Θn4/1⅄Qn3)=(0.^6/1.4)
En4 of 1⅄(Θn5/1⅄Qn4)=(0.6/1.^571428)
En5 of 1⅄(Θn6/1⅄Qn5)=(0.625/1.^18)
En6 of 1⅄(Θn7/1⅄Qn6)=(0.^615384/1.^307692)
En7 of 1⅄(Θn8/1⅄Qn7)=(0.^619047/1.^1176470588235294)
En8 of 1⅄(Θn9/1⅄Qn8)=(0.6^1764705882352941/1.^210526315789473684)
if E=∈1⅄(Θn2/1⅄Qn1)cn
and
E=∈1⅄(Θn2/2⅄Qn1)cn
then
En1 of 1⅄(Θn2/2⅄Qn1)=(1/0.^6)
En2 of 1⅄(Θn3/2⅄Qn2)=(0.5/0.6)
En3 of 1⅄(Θn4/2⅄Qn3)=(0.^6/0.^714285)
En4 of 1⅄(Θn5/2⅄Qn4)=(0.6/0.^63)
En5 of 1⅄(Θn6/2⅄Qn5)=(0.625/0.^846153)
En6 of 1⅄(Θn7/2⅄Qn6)=(0.^615384/0.^7647058823529411)
En7 of 1⅄(Θn8/2⅄Qn7)=(0.^619047/0.^894736842105263157)
En8 of 1⅄(Θn9/2⅄Qn8)=(0.6^1764705882352941/0.^8260869565217391304347)
1F
Given F=∈2⅄(Θ/Q)cn
The definition of Q variable should be accurate to its defining base path where 1⅄Q and 2⅄Q, differ from prime base just as φ and Θ differ in paths 1⅄ and 2⅄ of Y base.
so
F=∈2⅄(Θn1/1⅄Qn2)cn
and
F=∈2⅄(Θn1/2⅄Qn2)cn
then
Fn1 of 2⅄(Θn1/1⅄Qn2)=(0/1.^6)
Fn2 of 2⅄(Θn2/1⅄Qn3)=(1/1.4)
Fn3 of 2⅄(Θn3/1⅄Qn4)=(0.5/1.^571428)
Fn4 of 2⅄(Θn4/1⅄Qn5)=(0.^6/1.^18)
Fn5 of 2⅄(Θn5/1⅄Qn6)=(0.6/1.^307692)
Fn6 of 2⅄(Θn6/1⅄Qn7)=(0.625/1.^1176470588235294)
Fn7 of 2⅄(Θn7/1⅄Qn8)=(0.^615384/1.^210526315789473684)
if F=∈2⅄(Θn1/1⅄Qn2)cn
and
F=∈2⅄(Θn1/2⅄Qn2)cn
then
Fn1 of 2⅄(Θn1/2⅄Qn2)=(0/0.6)
Fn2 of 2⅄(Θn2/2⅄Qn3)=(1/0.^714285)
Fn3 of 2⅄(Θn3/2⅄Qn4)=(0.5/0.^63)
Fn4 of 2⅄(Θn4/2⅄Qn5)=(0.^6/0.^846153)
Fn5 of 2⅄(Θn5/2⅄Qn6)=(0.6/0.^7647058823529411)
Fn6 of 2⅄(Θn6/2⅄Qn7)=(0.625/0.^894736842105263157)
Fn7 of 2⅄(Θn7/2⅄Qn8)=(0.^615384/0.^8260869565217391304347)
1G
G=∈2⅄(Θn1/φn2)cn
Gn1=(Θn1/φn2)=(0/1)=0
Gn2=(Θn2/φn3)=(1/2)=0.5
Gn3=(Θn3/φn4)=(0.5/1.5)
Gn4=(Θn4/φn5)=(0.^6/1.^6) and Gn4=(Θn4c2/φn5)=(0.^66/1.^6) and Gn4=(Θn4/φn5c2)=(0.^6/1.^66) and Gn4=(Θn4c2/φn5c2)=(0.^66/1.^66) and so on for variants of ncn
Gn5=(Θn5/φn6)=(0.6/1.6)
Gn6=(Θn6/φn7)=(0.625/1.625)
Gn7=(Θn7/φn8)=(0.^615384/1.^615384)
Gn8=(Θn8/φn9)=(0.^619047/1.^619047)
Gn9=(Θn9/φn10)=(0.6^1764705882352941/1.6^1762941)
Gn10=(Θn10/φn11)=(0.6^18/1.6^18)
Gn11=(Θn11/φn12)=(0.^6179775280878651685393258764044943820224719101123595505/1.^61797752808988764044943820224719101123595505)
Gn12=(Θn12/φn13)=(0.6180^5/1.6180^5)
Gn13=(Θn13/φn14)=(0.6180257553648064377682403433476394849785407725322060085836909871244635193133047210300429184^54935622317596566/1.^61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832)
Gn14=(Θn14/φn15)=(0.610079575596814323607427055702917771827585941644562334217506631^294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257/1.6183^0223896551724135014)
Gn15=(Θn15/φn16)=(0.6^18032786885245901639344262295081967213114754098360655737749/1.618^032786885245901639344262295081967213114754098360655737704918)
Gn16=(Θn16/φn17)=(0.^618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870/1.618034447821681864235057244174265450860192502532928064842958459979736575481256332320141843^9716312056737588652482269503546099290780141843)
and so on for ∈Gn=2⅄(Θ/φ)ncn
1H
Given H=∈2⅄(Q/Θ)cn
The definition of Q variable should be accurate to its defining base path where 1⅄Q and 2⅄Q, differ from prime base just as φ and Θ differ in paths 1⅄ and 2⅄ of Y base.
so
H=∈2⅄(1⅄Qn1/Θn2)cn
and
H=∈2⅄(2⅄Qn1/Θn2)cn
then
Hn1 of 2⅄(1⅄Qn1/Θn2)=(1.5/1)
Hn2 of 2⅄(1⅄Qn2/Θn3)=(1.^6/0.5)
Hn3 of 2⅄(1⅄Qn3/Θn4)=(1.4/0.^6)
Hn4 of 2⅄(1⅄Qn4/Θn5)=(1.^571428/0.6)
Hn5 of 2⅄(1⅄Qn5/Θn6)=(1.^18/0.625)
Hn6 of 2⅄(1⅄Qn6/Θn7)=(1.^307692/0.^615384)
Hn7 of 2⅄(1⅄Qn7/Θn8)=(1.^1176470588235294/0.^619047)
Hn8 of 2⅄(1⅄Qn8/Θn9)=(1.^210526315789473684/0.6^1764705882352941)
then
if H=∈2⅄(1⅄Qn1/Θn2)cn
and
H=∈2⅄(2⅄Qn1/Θn2)cn
then
Hn1 of 2⅄(2⅄Qn1/Θn2)=(0.^6/1)
Hn2 of 2⅄(2⅄Qn2/Θn3)=(0.6/0.5)
Hn3 of 2⅄(2⅄Qn3/Θn4)=(0.^714285/0.^6)
Hn4 of 2⅄(2⅄Qn4/Θn5)=(0.^63/0.6)
Hn5 of 2⅄(2⅄Qn5/Θn6)=(0.^846153/0.625)
Hn6 of 2⅄(2⅄Qn6/Θn7)=(0.^7647058823529411/0.^615384)
Hn7 of 2⅄(2⅄Qn7/Θn8)=(0.^894736842105263157/0.^619047)
Hn8 of 2⅄(2⅄Qn8/Θn9)=(0.^8260869565217391304347/0.6^1764705882352941)
1I
Given I= ∈1⅄(Q/Θ)cn
The definition of Q variable should be accurate to its defining base path where 1⅄Q and 2⅄Q, differ from prime base just as φ and Θ differ in paths 1⅄ and 2⅄ of Y base.
so
I= ∈1⅄(1⅄Qn2/Θn1)cn
and
I= ∈1⅄(2⅄Qn2/Θn1)cn
then
In1 of 1⅄(1⅄Qn2/Θn1)=(1.^6/0)
In2 of 1⅄(1⅄Qn3/Θn2)=(1.4/1)
In3 of 1⅄(1⅄Qn4/Θn3)=(1.^571428/0.5)
In4 of 1⅄(1⅄Qn5/Θn4)=(1.^18/0.^6)
In5 of 1⅄(1⅄Qn6/Θn5)=(1.^307692/0.6)
In6 of 1⅄(1⅄Qn7/Θn6)=(1.^1176470588235294/0.625)
In7 of 1⅄(1⅄Qn8/Θn7)=(1.^210526315789473684/0.^615384)
if I= ∈1⅄(1⅄Qn2/Θn1)cn
and
I= ∈1⅄(2⅄Qn2/Θn1)cn
then
In1 of 1⅄(2⅄Qn2/Θn1)=(0.6/0)
In2 of 1⅄(2⅄Qn3/Θn2)=(0.^714285/1)
In3 of 1⅄(2⅄Qn4/Θn3)=(0.^63/0.5)
In4 of 1⅄(2⅄Qn5/Θn4)=(0.^846153/0.^6)
In5 of 1⅄(2⅄Qn6/Θn5)=(0.^7647058823529411/0.6)
In6 of 1⅄(2⅄Qn7/Θn6)=(0.^894736842105263157/0.625)
In7 of 1⅄(2⅄Qn8/Θn7)=(0.^8260869565217391304347/0.^615384)
1J
Given J=∈2⅄(2⅄Qn1/1⅄Qn2)cn
∈2⅄2Qn1 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn1/1⅄1Qn2)=(0.^6/1.^6)
depending of cn variable factor and are crossed variants of two different path sets variables
then
Jn1=∈2⅄2Qn1 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn1/1⅄1Qn2)=(0.^6/1.^6)
Jn2=∈2⅄2Qn2 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn2/1⅄1Qn3)=(0.6/1.4)
Jn3=∈2⅄2Qn3 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn3/1⅄1Qn4)=(0.^714285/1.^571428)
Jn4=∈2⅄2Qn4 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn4/1⅄1Qn5)=(0.^63/1.^18)
Jn5=∈2⅄2Qn5 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn5/1⅄1Qn6)=(0.^846153/1.^307692)
Jn6=∈2⅄2Qn6 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn6/1⅄1Qn7)=(0.^7647058823529411/1.^1176470588235294)
Jn7=∈2⅄2Qn7 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn7/1⅄1Qn8)=(0.^894736842105263157/1.^210526315789473684)
Variable Factor 2⅄2Qnc1 will differ variants of ∈2⅄1Qn and ∈1⅄1Qn given a factor 1⅄1Qnc2 factor 2⅄1Qnc2 and so on . . .
1K
Given K=∈2⅄(1⅄Qn1/2⅄Qn2)cn
∈2⅄2Qn1 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn1/2⅄1Qn2)=(1.5/0.6) depending of cn variable factor
then
Kn1=∈2⅄2Qn1 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn1/2⅄1Qn2)=(1.5/0.6)
Kn2=∈2⅄2Qn2 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn2/2⅄1Qn3)=(1.^6/0.^714285)
Kn3=∈2⅄2Qn3 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn3/2⅄1Qn4)=(1.4/0.^63)
Kn4=∈2⅄2Qn4 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn4/2⅄1Qn5)=(1.^571428/0.^846153)
Kn5=∈2⅄2Qn5 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn5/2⅄1Qn6)=(1.^18/0.^7647058823529411)
Kn6=∈2⅄2Qn6 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn6/2⅄1Qn7)=(1.^307692/0.^894736842105263157)
Kn7=∈2⅄2Qn7 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn7/2⅄1Qn8)=(1.^1176470588235294/0.^8260869565217391304347)
Variable Factor 2⅄2Qnc1 will differ variants of ∈1⅄1Qn and ∈2⅄1Qn given a factor 1⅄1Qnc2 factor 2⅄1Qnc2 and so on . . .
1L
Given L=∈1⅄(1⅄Qn2/2⅄Qn1)cn
∈1⅄2Qn1 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn2/2⅄1Qn1)=(1.^6/0.^6)=2.^6 depending of cn variable factor c1
then
Ln1=∈1⅄2Qn1 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn2/2⅄1Qn1)=(1.^6/0.^6)=2.^6
Ln2=∈1⅄2Qn2 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn3/2⅄1Qn2)=(1.4/0.6)
Ln3=∈1⅄2Qn3 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn4/2⅄1Qn3)=(1.^571428/0.^714285)
Ln4=∈1⅄2Qn4 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn5/2⅄1Qn4)=(1.^18/0.^63)
Ln5=∈1⅄2Qn5 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn6/2⅄1Qn5)=(1.^307692/0.^846153)
Ln6=∈1⅄2Qn6 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn7/2⅄1Qn6)=(1.^1176470588235294/0.^7647058823529411)
Ln7=∈1⅄2Qn7 of ∈1⅄1Qn and ∈2⅄1Qn variables is (1⅄1Qn8/2⅄1Qn7)=(1.^210526315789473684/0.^894736842105263157)
Variable Factor 1⅄2Qnc1 will differ variants of ∈1⅄2Qn given a factor 1⅄1Qnc2 factor 2⅄1Qnc2 and so on . . .
1M
Given M=∈2⅄(φ/Q)cn
The definition of Q variable should be accurate to its defining base path where 1⅄Q and 2⅄Q, differ from prime base just as φ and Θ differ in paths 1⅄ and 2⅄ of Y base.
so
M=∈2⅄(φn1/1⅄Qn2)cn
and
M=∈2⅄(φn1/2⅄Qn2)cn
then
Mn1 of ∈2⅄(φn1/1⅄Qn2)=(0/1.^6)
Mn2 of ∈2⅄(φn2/1⅄Qn3)=(1/1.4)
Mn3 of ∈2⅄(φn3/1⅄Qn4)=(2/1.^571428)
Mn4 of ∈2⅄(φn4/1⅄Qn5)=(1.5/1.^18)
Mn5 of ∈2⅄(φn5/1⅄Qn6)=(1.^6/1.^307692)
Mn6 of ∈2⅄(φn6/1⅄Qn7)=(1.6/1.^1176470588235294)
Mn7 of ∈2⅄(φn7/1⅄Qn8)=(1.625/1.^210526315789473684)
if M=∈2⅄(φn1/1⅄Qn2)cn
and
M=∈2⅄(φn1/2⅄Qn2)cn
then
Mn1 of ∈2⅄(φn1/2⅄Qn2)=(0/0.6)
Mn2 of ∈2⅄(φn2/2⅄Qn3)=(1/0.^714285)
Mn3 of ∈2⅄(φn3/2⅄Qn4)=(2/0.^63)
Mn4 of ∈2⅄(φn4/2⅄Qn5)=(1.5/0.^846153)
Mn5 of ∈2⅄(φn5/2⅄Qn6)=(1.^6/0.^7647058823529411)
Mn6 of ∈2⅄(φn6/2⅄Qn7)=(1.6/0.^894736842105263157)
Mn7 of ∈2⅄(φn7/2⅄Qn8)=(1.625/0.^8260869565217391304347)
N
Nncn
N is a number and n is the numerated number of a sequence in labeled number scales that C cycles of a decimal numerated consecutive number is labeled to that N number.
As any variable of the ratio scales can be defined as a number to the decimal stem counted degree of sequence repetitions in the decimal cycle count, a number that is not factored from these many computational equations can too also be a number.
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...
1O
O=∈1⅄(Θn2/φn1)cn
On1=(Θn2/φn1)=(1/0)=0
On2=(Θn3/φn2)=(0.5/1)
On3=(Θn4/φn3)=(0.^6/2) and On3=(Θn4c2/φn3)=(0.^66/2) and On3=(Θn4c3/φn3)=(0.^666/2) and so on for variants of ncn
On4=(Θn5/φn4)=(0.6/1.5)
On5=(Θn6/φn5)=(0.625/1.^6)
On6=(Θn7/φn6)=(0.^615384/1.6)
On7=(Θn8/φn7)=(0.^619047/1.625)
On8=(Θn9/φn8)=(0.6^1764705882352941/1.^615384)
On9=(Θn10/φn9)=(0.6^18/1.^619047)
On10=(Θn11/φn10)=(0.^6179775280878651685393258764044943820224719101123595505/1.6^1762941)
On11=(Θn12/φn11)=(0.6180^5/1.6^18)
On12=(Θn13/φn12)=(0.6180257553648064377682403433476394849785407725322060085836909871244635193133047210300429184^54935622317596566/1.^61797752808988764044943820224719101123595505)
On13=(Θn14/φn13)=(0.610079575596814323607427055702917771827585941644562334217506631^294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257/1.6180^5)
On14=(Θn15/φn14)=(0.6^18032786885245901639344262295081967213114754098360655737749/1.^61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832)
On15=(Θn16/φn15)=(0.^618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870/1.6183^0223896551724135014)
and so on for ∈On=1⅄(Θ/φ)cn
P
2
3
5
7
11
13
17
19
23
29
31
37
41
43
47
53
59
61
67
71
73
79
83
89
97
101
103
107
109
113
127
131
137
139
149
151
157
163
167
173
179
181
191
193
197
199
Q
Q represents a ratio of prime divided by prime
Q=(⅄p/⅄p) so ∈1⅄Q=(Pn2/Pn1) and ∈2⅄Q=(Pn1/Pn2)
1R
Given R=∈(φ/P)cn
R represents ∈(φ/P)cn
3⅄φncn/pn that path 3⅄ of φncn/pn differ from paths 2⅄φncn/pn and 1⅄φncn/pn
Path 3⅄R=φn1cn/pn1
3⅄Rn1=1φn1/pn1=(φn1/pn1)=(0/2)=0
3⅄Rn2=1φn2/pn2=∈(φn2/pn2)=(1/3)=0.^3
3⅄Rn3=1φn3/pn3=(φn3/pn3)=(2/5)=0.4
3⅄Rn4=1φn4/pn4=∈(φn4/pn4)=(1.5/7)=0.2^142857
3⅄Rn5=1φn5/pn5=∈(φn5/pn5)=(1.^6/11)=1.^45→. . .(φn5c2/pn5)=(1.^66/11)=0.150^9→. . . and so on
3⅄Rn6=1φn6/pn6=∈(φn6/pn6)=(1.6/13)=0.1^230769
3⅄Rn7=1φn7/pn7=∈(φn7/pn7)=(1.625/17)=0.095^5882352941176470
3⅄Rn8=1φn8/pn8=∈(φn8/pn8)=(1.^615384/19)=0.079757^052631578421→. . .(φn8c2/pn8)=0.079757079757^052631578421→. . . and so on
3⅄Rn9=1φn9/pn9=∈(φn9/pn9)=(1.^619047/23)=0.070393^3478260865217391304
Path 1⅄R=φn2/pn1
1⅄Rn1=(φn2/pn1)=(1/2)
1⅄Rn2=(φn3/pn2)=(2/3)
1⅄Rn3=(φn4/pn3)=(1.5/5)
1⅄Rn4=(φn5/pn4)=(1.^6/7)
1⅄Rn5=(φn6/pn5)=(1.6/11)
1⅄Rn6=(φn7/pn6)=(1.625/13)
1⅄Rn7=(φn8/pn7)=(1.^615384/17)
1⅄Rn8=(φn9/pn8)=(1.^619047/19)
1⅄Rn9=(φn10/pn9)=(1.6^1762941/23)
Path 2⅄R=φn1/pn2
2⅄Rn1=(φn1/pn2)=(0/3)
2⅄Rn2=(φn2/pn3)=(1/5)
2⅄Rn3=(φn3/pn4)=(2/7)
2⅄Rn4=(φn4/pn5)=(1.5/11)
2⅄Rn5=(φn5/pn6)=(1.^6/13)
2⅄Rn6=(φn6/pn7)=(1.6/17)
2⅄Rn7=(φn7/pn8)=(1.625/19)
2⅄Rn8=(φn8/pn9)=(1.^615384/23)
1S
S=∈(P/Θ)cn
S represents ∈(P/Θ)cn
3⅄Pn1/Θn1cn that path 3⅄ of Pn1/Θn1cn differ from paths 2⅄Pn1/Θn2cn and 1⅄Pn2/Θn1cn based on cn of theta Θn variable and variable of the sequential set with no steps
Path 1⅄S=Pn2/Θn1cn
1⅄Sn1=Pn2/Θn1cn=(Pn2/Θn1cn)=(3/0)=0
1⅄Sn2=Pn3/Θn2cn=(Pn3/Θn2cn)=(5/1)=5
1⅄Sn3=Pn4/Θn3cn=(Pn4/Θn3cn)=(7/0.5)=14
1⅄Sn4=Pn5/Θn4cn=(Pn5/Θn4c1)=(11/0.^6)=18.^3 or 18.3 and 1⅄Sn4=Pn5/Θn4cn=(Pn5/Θn4c2)=(11/0.^66)=18.^6 or 18.6 and so on for cn variants of 1⅄Sn4
1⅄Sn5=Pn6/Θn5cn=(Pn6/Θn5cn)=(13/0.6)=21.^6 or 21.6
1⅄Sn6=Pn7/Θn6cn=(Pn7/Θn6cn)=(17/0.625)=27.2
1⅄Sn7=Pn8/Θn7cn=(Pn8/Θn7cn)=(19/0.^615384)=^30.8750 or 30.8750308750
1⅄Sn8=Pn9/Θn8cn=(Pn9/Θn8cn)=(23/0.^619047)=^37.1538833077294615756154217692679231140769602308063846525384986923448461910000371538833077294615756154217692679231140769602308063846525384986923448461910000
or
37.1538833077294615756154217692679231140769602308063846525384986923448461910000371538833077294615756154217692679231140769602308063846525384986923448461910000371538833077294615756154217692679231140769602308063846525384986923448461910000371538833077294615756154217692679231140769602308063846525384986923448461910000
1⅄Sn9=Pn10/Θn9cn=(Pn10/Θn9cn)=(29/0.6^1764705882352941)=46.9523809523809525151020408163265309955296404275996123681799 extended shell continues with a quotient decimal stem cycle potential having the probability based on divisor or 61,764,705,882,352,941 or less digits determined by this cn variable
1⅄Sn10=Pn11/Θn10cn=(Pn11/Θn10cn)=(31/0.6^18)=^50.16181229773462783171521035598705 or 50.1618122977346278317152103559870550.16181229773462783171521035598705 and so on . . . for 1⅄Sn10c1, 1⅄Sn10c2, 1⅄Sn10c3 infinitely
and so on for cn variables of ∈1⅄Sn
Path 2⅄S=Pn1/Θn2cn
2⅄Sn1=Pn1/Θn2cn=(Pn1/Θn2cn)=(2/1)=2
2⅄Sn2=Pn2/Θn3cn=(Pn2/Θn3cn)=(3/0.5)=6
2⅄Sn3=Pn3/Θn4cn=(Pn3/Θn4cn)=(5/0.^6)=8.^3 or 8.3
2⅄Sn4=Pn4/Θn5cn=(Pn4/Θn5cn)=(7/0.6)=11.^6 or 11.6 or 11.66 or 11.666 and so on
2⅄Sn5=Pn5/Θn6cn=(Pn5/Θn6cn)=(11/0.625)=17.6
2⅄Sn6=Pn6/Θn7cn=(Pn6/Θn7cn)=(13/0.^615384)=^21.1250 or 21.1250211250 and so on . . . 2⅄Sn6c1, 2⅄Sn6c2, 2⅄Sn6c3 infinitely
while 2⅄Sn6=Pn6/Θn7c2=(13/0.^615384615384)=^21.1250000000 or 21.1250000000211250000000 and so on . . .
2⅄Sn7=Pn7/Θn8cn=(Pn7/Θn8cn)=(17/0.^619047)=^27.4615659231043846428461813077197692582307966923351538736154120769505384890000 or 27.4615659231043846428461813077197692582307966923351538736154120769505384890000274615659231043846428461813077197692582307966923351538736154120769505384890000 and so on . . .
2⅄Sn8=Pn8/Θn9cn=(Pn8/Θn9cn)=(19/0.6^1764705882352941)=30.76190476190476199265306122448979616948493683187560810329029571012078505701989250510700492481874049078191883281544902128167285566318767985239863522815527576875800541377697838692763451555327158169800337777 extended shell continues with a quotient decimal stem cycle potential having the probability based on divisor or 61,764,705,882,352,941 or less digits determined by this cn variable
2⅄Sn9=Pn9/Θn10cn=(Pn9/Θn10cn)=(23/0.6^18)=^37.21682847896440129449838187702265 or 37.216828478964401294498381877022653721682847896440129449838187702265 and so on for 2⅄Sn9c1, 2⅄Sn9c2, 2⅄Sn9c3 infintely
2⅄Sn10=Pn10/Θn11cn=(Pn10/Θn11cn)=(29/0.^6179775280878651685393258764044943820224719101123595505)
and so on for cn variables of ∈2⅄Sn
Path 3⅄S=Pn1/Θn1cn
3⅄Sn1=Pn1/Θn1cn=(Pn1/Θn1cn)=(2/0)=0
and so on for cn variables of ∈2⅄Sn and the variants of Θncn variables
1T
T=∈(Θ/P)cn
T represents ∈(Θ/P)cn
3⅄Θncn/pn that path 3⅄ of Θncn/pn differ from paths 2⅄Θncn/pn and 1⅄Θncn/pn
Path 1⅄T=Θn2cn/pn1
1⅄Tn1=1Θn2/pn1=(Θn2/pn1)=(1/2)=0.5
1⅄Tn2=1Θn3/pn2=(0.5/3)=0.1^6
1⅄Tn3=1Θn4/pn3=(0.^6/5)=0.12
1⅄Tn4=1Θn5/pn4=(0.6/7)=0.0^857142 or 0.0857142
1⅄Tn5=1Θn6/pn5=(0.625/11)=0.056^81 or 0.05681
1⅄Tn6=1Θn7/pn6=(0.^615384/13)=0.047337^230769 or 0.047337230769
1⅄Tn7=1Θn8/pn7=(0.^619047/17)=0.036414^5294117647058823 or 0.0364145294117647058823
1⅄Tn8=1Θn9/pn8=(0.6^1764705882352941/19)=0.03250773993808049^526315789473684210526315789473684210526315789473684210526315789473684210
or
0.03250773993808049526315789473684210526315789473684210526315789473684210526315789473684210
1⅄Tn9=1Θn10/pn9=(0.6^18/23)
1⅄Tn10=1Θn11/pn10=(0.^6179775280878651685393258764044943820224719101123595505/29)
1⅄Tn11=1Θn12/pn11=(0.6180^5/31)=0.01993^709677419354838 or 0.01993709677419354838
1⅄Tn12=1Θn13/pn12=(0.6180257553648064377682403433476394849785407725322060085836909871244635193133047210300429184^54935622317596566/37)=0.016703398793643417236979468739125391485906507365735297529288945597958473494954181649460619417700962765340447^729
or
0.016703398793643417236979468739125391485906507365735297529288945597958473494954181649460619417700962765340447729
1⅄Tn13=1Θn14/pn13=(0.610079575596814323607427055702917771827585941644562334217506631^294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257/41)=0.014879989648702788380668952578119945654331364430355178883353820275473895321860639192534062237174095878889816911431066830562204826227599146011515817428989454616^02439
or
0.01487998964870278838066895257811994565433136443035517888335382027547389532186063919253406223717409587888981691143106683056220482622759914601151581742898945461602439
1⅄Tn14=1Θn15/pn14=(0.6^18032786885245901639344262295081967213114754098360655737749/47)=0.0131496337635158702476456226020230205790024415765608650156967872340425531914893617021276595744^6808510638297872340425531914893617021276595744
or
0.01314963376351587024764562260202302057900244157656086501569678723404255319148936170212765957446808510638297872340425531914893617021276595744
1⅄Tn15=1Θn16/pn15=(0.^618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870/53)=0.01166102731739022385349161744183823669973810479631435071017568006728986255280916059719753015618130030012808013610904016363671101928848616^7358490566037
or
0.011661027317390223853491617441838236699738104796314350710175680067289862552809160597197530156181300300128080136109040163636711019288486167358490566037
1⅄Tn16=1Θn17/pn16=(0.^6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/59)=0.0104751493796631395731403160587117795018201500695159355995882109463719049488978274943485136325525614764972458953758636426350254184222^5254237288135593220338983050847457627118644067796610169491525423728813559322033898305084745762711864406779661016949152542372881355932203389830508474576271186440677966101694915254237288135593220338983050847457627118644067796610169491525423728813559322033898305084745762711864406779661016949152542372881355932203389830508474576271186440677966101694915254237288135593220338983050847457627118644067796610169491
or
0.0104751493796631395731403160587117795018201500695159355995882109463719049488978274943485136325525614764972458953758636426350254184222^5254237288135593220338983050847457627118644067796610169491525423728813559322033898305084745762711864406779661016949152542372881355932203389830508474576271186440677966101694915254237288135593220338983050847457627118644067796610169491525423728813559322033898305084745762711864406779661016949152542372881355932203389830508474576271186440677966101694915254237288135593220338983050847457627118644067796610169491
1⅄Tn17=1Θn18/pn17=(0.618^034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743/61)=0.010131705831599248845353499467086230523270567933817185200223316246256915190580114703344668324620616149824899761457646043749682789422930518195198700^704918032786885245901639344262295081967213114754098360655737
or
0.010131705831599248845353499467086230523270567933817185200223316246256915190580114703344668324620616149824899761457646043749682789422930518195198700704918032786885245901639344262295081967213114754098360655737
1⅄Tn18=1Θn19/pn18=(0.^618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936/67)=0.009224387509950843724453551424889425153591049773852574011073548783230463325563048188857196914256747832233237067472967618258861159402699489874235614560538612843460287655242086624995091512064170893915973826157421455268503214613371792080020847686941994166931427531084115419077775437569388170365584181460551821138269427795250011601880575596^059701492537313432835820895522388
or
0.009224387509950843724453551424889425153591049773852574011073548783230463325563048188857196914256747832233237067472967618258861159402699489874235614560538612843460287655242086624995091512064170893915973826157421455268503214613371792080020847686941994166931427531084115419077775437569388170365584181460551821138269427795250011601880575596059701492537313432835820895522388
1⅄Tn19=1Θn20/pn19=(0.6^1803399852/71)=0.00870470420^4507042253521126760563380281690140845070422535211267605633802816901408450704225352112676056338028169014084507042253521126760563380281690140845070422535211267605633802816901408
or
0.008704704204507042253521126760563380281690140845070422535211267605633802816901408450704225352112676056338028169014084507042253521126760563380281690140845070422535211267605633802816901408
1⅄Tn20=1Θn21/pn20=(0.6^180339850173579389731408733784030696144710396491869175954686643522748035812168828795907180705280467750776539375114196966928558377489493879042572629270966563128083318107071076192216334734149460990316097204458249588890919057189841037822035446738534624520372738900054814544125708021194957061940434862050063950301479992691394116572263840672391741275351726658139959802667641147451123698154577014434496619769778914672026310981/73)=0.0084662189728405197119608338818959324604722060225916016108968310185243123778248888065697358639798362571928445744864578040642856964075198546288254419579054336481206620795987275016331730612796567958771453386362441775190286562427258096408521033516966227733155790943836367322522269972893081603588225135096576218497280547845087590637976216995512215633908927762440273421954351248595220872577459959101842419448901081022904470013^43835616
or
0.0084662189728405197119608338818959324604722060225916016108968310185243123778248888065697358639798362571928445744864578040642856964075198546288254419579054336481206620795987275016331730612796567958771453386362441775190286562427258096408521033516966227733155790943836367322522269972893081603588225135096576218497280547845087590637976216995512215633908927762440273421954351248595220872577459959101842419448901081022904470013^43835616
1⅄Tn21=1Θn22/pn21=(0.^618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793348766303427248602563378691208853255039241149568065044322737281915193947264411947377336118796228332674609000056462085709446106939190333690926542826492010614872113375868104567782733894190051380497995595957314663203658743153972107729659533623172039975156682287843712946756253175992321156343515329456270114/79)=0.007823215065513887171599713830137746047832677825194812063446231298720883610200054460897861516371503370929458843070422515078593079177711913285671709421806801036901189205878632245282735680964915603476063291853950452018305151128991565707930921854329248289520422479343095794718150559367738993645513872877400800046313204480659591514677640799646075634894712504350796794382951594839508308145763664003419^1645569620253
or
0.0078232150655138871715997138301377460478326778251948120634462312987208836102000544608978615163715033709294588430704225150785930791777119132856717094218068010369011892058786322452827356809649156034760632918539504520183051511289915657079309218543292482895204224793430957947181505593677389936455138728774008000463132044806595915146776407996460756348947125043507967943829515948395083081457636640034191645569620253
and so on for cn of variable Θncn and beyond variable 1⅄Tn21
Path 2⅄T=Θn1cn/pn1
2⅄Tn1=1Θn1/pn2=(Θn1/pn2)=(0/3)=0
2⅄Tn2=1Θn2/pn3=(1/5)=0.2
2⅄Tn3=1Θn3/pn4=(0.5/7)=0.0^714285 or 0.0714285
2⅄Tn4=1Θn4/pn5=(0.^6/11)=0.0^54 or 0.054 and 2⅄Tn4=1Θn4c2/pn5=(0.^66/11)=0.06 and so on for cn of 2⅄Tn4=1Θn4cn/pn5
2⅄Tn5=1Θn5/pn6=(0.6/13)=0.0^461538 or 0.0461538
2⅄Tn6=1Θn6/pn7=(0.625/17)=0.036^7647058823529411 or 0.0367647058823529411
2⅄Tn7=1Θn7/pn8=(0.^615384/19)=0.032388^631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052
or
0.032388631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052
2⅄Tn8=1Θn8/pn9=(0.^619047/23)=0.026915^0869565217391304347826 or 0.0269150869565217391304347826
2⅄Tn9=1Θn9/pn10=(0.6^1764705882352941/29)=0.02129817444219066^931034482758620689655172413793103448275862068965517241379310344827586206896551724137
or
0.02129817444219066931034482758620689655172413793103448275862068965517241379310344827586206896551724137
2⅄Tn10=1Θn10/pn11=(0.6^18/31)=0.019^935483870967741 or 0.019935483870967741
2⅄Tn11=1Θn11/pn12=(0.^6179775280878651685393258764044943820224719101123595505/37)=0.0167020953537260856361979966595809292438505921651989067^702 or 0.0167020953537260856361979966595809292438505921651989067702
2⅄Tn12=1Θn12/pn13=(0.6180^5/41)=0.01507^43902 or 0.0150743902
2⅄Tn13=1Θn13/pn14=(0.6180257553648064377682403433476394849785407725322060085836909871244635193133047210300429184^54935622317596566/43)=0.014372691985228056692284659147619522906477692384469907176364906677313105100309412116977742289649665635292943^395348837209302325581395348837209302325581
or
0.014372691985228056692284659147619522906477692384469907176364906677313105100309412116977742289649665635292943395348837209302325581395348837209302325581
2⅄Tn14=1Θn14/pn15=(0.610079575596814323607427055702917771827585941644562334217506631^294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257/47)=0.012980416502059879225689937355381229187820977481799198600372481516902759748857153338168011738811445341159201986567526384107455273943224786946215925842309949771^4255319148936170212765957446808510638297872340
or
0.0129804165020598792256899373553812291878209774817991986003724815169027597488571533381680117388114453411592019865675263841074552739432247869462159258423099497714255319148936170212765957446808510638297872340
2⅄Tn15=1Θn15/pn16=(0.6^18032786885245901639344262295081967213114754098360655737749/53)=0.011660995978966903804515929477265697494587070832044540674297^1509433962264 or 0.0116609959789669038045159294772656974945870708320445406742971509433962264
2⅄Tn16=1Θn16/pn17=(0.^618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870/59)=0.01047516013257087905483145295622756856078168735940102690914086514519258839489636460426218810640015111706420757989456150292789294953033503^1694915254237288135593220338983050847457627118644067796610
or
0.010475160132570879054831452956227568560781687359401026909140865145192588394896364604262188106400151117064207579894561502927892949530335031694915254237288135593220338983050847457627118644067796610
2⅄Tn17=1Θn17/pn18=(0.^6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/61)=0.0101317018590184464723816171715409014853670303951055770553394171448515146227044561010911853167311660182514345545438681133683032735559^491803278688524590163934426229508196721311475409836065573770
or
0.0101317018590184464723816171715409014853670303951055770553394171448515146227044561010911853167311660182514345545438681133683032735559491803278688524590163934426229508196721311475409836065573770
2⅄Tn18=1Θn18/pn19=(0.618^034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743/67)=0.009224388891456032530844230858093433759992606626311168615128690910771221292916223834388429370176978882676401275356961323413890300817891964326971951^388059701492537313432835820895522
or
0.009224388891456032530844230858093433759992606626311168615128690910771221292916223834388429370176978882676401275356961323413890300817891964326971951388059701492537313432835820895522
2⅄Tn19=1Θn19/pn20=(0.^618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936/71)=0.008704703706573331401949125992501288525219723026029893785097574203893535814263721530330030890918339503656716669305476484835826727887054448191180086979663198035378017928186194420770015933919710561864369666937285035253376272945012817878329532324297374777245149923699094832087478229819000104429494931800802422764282417778616208131352092463^88732394366197183098591549295774647
or
0.00870470370657333140194912599250128852521972302602989378509757420389353581426372153033003089091833950365671666930547648483582672788705444819118008697966319803537801792818619442077001593391971056186436966693728503525337627294501281787832953232429737477724514992369909483208747822981900010442949493180080242276428241777861620813135209246388732394366197183098591549295774647
2⅄Tn20=1Θn20/pn21=(0.6^1803399852/73)=0.00846621915^78082191 or 0.0084662191578082191
and so on for cn of variable Θncn and beyond variable 2⅄Tn17=(1Θn17/pn18)
Path 3⅄T=Θn1cn/pn1
3⅄Tn1=1Θn1c1/pn1=(Θn1c1/pn1)=(0/2)
3⅄Tn2=1Θn2c1/pn2=(1/3)=0.^3 or 0.3 or 0.33 and so on for cn of 3⅄Tn2=1Θn2c1/pn2
3⅄Tn3=1Θn3c1/pn3=(0.5/5)=0.1
3⅄Tn4=1Θn4c1/pn4=(0.^6/7)=0.0^857142 or 0.0857142 and 3⅄Tn4=1Θn4c2/pn4=(0.^66/7)=0.09^428571 or 0.09428571
3⅄Tn5=1Θn5c1/pn5=(0.6/11)=0.0^54 or 0.054
3⅄Tn6=1Θn6c1/pn6=(0.625/13)=0.048^076923 or 0.048076923
3⅄Tn7=1Θn7c1/pn7=(0.^615384/17)=0.036199^0588235294117647 or 0.0361990588235294117647
3⅄Tn8=1Θn8c1/pn8=(0.^619047/19)=0.032581^421052631578947368 or 0.032581421052631578947368
3⅄Tn9=1Θn9c1/pn9=(0.6^1764705882352941/23)=0.02685421994884910^4782608695652173913043
or
0.026854219948849104782608695652173913043
3⅄Tn10=1Θn10c1/pn10=(0.6^18/29)=0.021^3103448275862068965517241379 or 0.0213103448275862068965517241379
3⅄Tn11=1Θn11c1/pn11=(0.^6179775280878651685393258764044943820224719101123595505/31)
3⅄Tn12=1Θn12c1/pn12=(0.6180^5/37)
3⅄Tn13=1Θn13c1/pn13=(0.6180257553648064377682403433476394849785407725322060085836909871244635193133047210300429184^54935622317596566/41)
3⅄Tn14=1Θn14c1/pn14=(0.610079575596814323607427055702917771827585941644562334217506631^294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257/43)
3⅄Tn15=1Θn15c1/pn15=(0.6^18032786885245901639344262295081967213114754098360655737749/47)
3⅄Tn16=1Θn16c1/pn16=(0.^618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870/53)
3⅄Tn17=1Θn17c1/pn17=(0.^6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/59)
3⅄Tn18=1Θn18c1/pn18=(0.618^034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743/61)
3⅄Tn19=1Θn19c1/pn19=(0.^618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936/67)
3⅄Tn20=1Θn20c1/pn20=(0.6^1803399852/71)
and so on for cn of variable Θncn and beyond variable where c1, c2, c3, . . . of theta quotient ratio decimal stem count variable changes the quotient of 3⅄Tn=Θncn/Pn variables and the cn of 3⅄Tncn is then dependent of definition to variable Θncn
1U
Given U=∈1⅄(2⅄Qn2/1⅄Qn1)cn
∈1⅄2Qn1 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn2/1⅄1Qn1)=(0.6/1.5)=0.4
then
Un1=∈1⅄2Qn1 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn2/1⅄1Qn1)=(0.6/1.5)=0.4
Un2=∈1⅄2Qn2 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn3/1⅄1Qn2)=(0.^714285/1.^6)
Un3=∈1⅄2Qn3 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn4/1⅄1Qn3)=(0.^63/1.4)
Un4=∈1⅄2Qn4 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn5/1⅄1Qn4)=(0.^846153/1.^571428)
Un5=∈1⅄2Qn5 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn6/1⅄1Qn5)=(0.^7647058823529411/1.^18)
Un6=∈1⅄2Qn6 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn7/1⅄1Qn6)=(0.^894736842105263157/1.^307692)
Un7=∈1⅄2Qn7 of ∈2⅄1Qn and ∈1⅄1Qn variables is (2⅄1Qn8/1⅄1Qn7)=(0.^8260869565217391304347/1.^1176470588235294)
Variable Factor 1⅄2Qnc1 will differ variants of ∈2⅄1Qn and ∈1⅄1Qn given a factor 1⅄1Qnc2 factor 2⅄1Qnc2 and so on . . .
1V
Given V= ∈1⅄(Q/φ)cn
The definition of Q variable should be accurate to its defining base path where 1⅄Q and 2⅄Q, differ from prime base just as φ and Θ differ in paths 1⅄ and 2⅄ of Y base.
so
V= ∈1⅄(1⅄Qn2/φn1)cn
and
V= ∈1⅄(2⅄Qn2/φn1)cn
then
Vn1 of ∈1⅄(1⅄Qn2/φn1)=(1.^6/0)
Vn2 of ∈1⅄(1⅄Qn3/φn2)=(1.4/1)
Vn3 of ∈1⅄(1⅄Qn4/φn3)=(1.^571428/2)
Vn4 of ∈1⅄(1⅄Qn5/φn4)=(1.^18/1.5)
Vn5 of ∈1⅄(1⅄Qn6/φn5)=(1.^307692/1.^6)
Vn6 of ∈1⅄(1⅄Qn7/φn6)=(1.^1176470588235294/1.6)
Vn7 of ∈1⅄(1⅄Qn8/φn7)=(1.^210526315789473684/1.625)
if V= ∈1⅄(1⅄Qn2/φn1)cn
and
V= ∈1⅄(2⅄Qn2/φn1)cn
then
Vn1 of ∈1⅄(2⅄Qn2/φn1)=(0.6/0)
Vn2 of ∈1⅄(2⅄Qn3/φn2)=(0.^714285/1)
Vn3 of ∈1⅄(2⅄Qn4/φn3)=(0.^63/2)
Vn4 of ∈1⅄(2⅄Qn5/φn4)=(0.^846153/1.5)
Vn5 of ∈1⅄(2⅄Qn6/φn5)=(0.^7647058823529411/1.^6)
Vn6 of ∈1⅄(2⅄Qn7/φn6)=(0.^894736842105263157/1.6)
Vn7 of ∈1⅄(2⅄Qn8/φn7)=(0.^8260869565217391304347/1.625)
1W
Given W=∈2⅄(Q/φ)cn
The definition of Q variable should be accurate to its defining base path where 1⅄Q and 2⅄Q, differ from prime base just as φ and Θ differ in paths 1⅄ and 2⅄ of Y base.
so
W=∈2⅄(1⅄Qn1/φn2)cn
and
W=∈2⅄(2⅄Qn1/φn2)cn
then
Wn1 of∈2⅄(1⅄Qn1/φn2)=(1.5/1)
Wn2 of∈2⅄(1⅄Qn2/φn3)=(1.^6/2)
Wn3 of∈2⅄(1⅄Qn3/φn4)=(1.4/1.5)
Wn4 of∈2⅄(1⅄Qn4/φn5)=(1.^571428/1.^6)
Wn5 of∈2⅄(1⅄Qn5/φn6)=(1.^18/1.6)
Wn6 of∈2⅄(1⅄Qn6/φn7)=(1.^307692/1.625)
Wn7 of∈2⅄(1⅄Qn7/φn8)=(1.^1176470588235294/1.^615384)
Wn8 of∈2⅄(1⅄Qn8/φn9)=(1.^210526315789473684/1.^619047)
if W=∈2⅄(1⅄Qn1/φn2)cn
and
W=∈2⅄(2⅄Qn1/φn2)cn
then
Wn1 of∈2⅄(2⅄Qn1/φn2)=(0.^6/1)
Wn2 of∈2⅄(2⅄Qn2/φn3)=(0.6/2)
Wn3 of∈2⅄(2⅄Qn3/φn4)=(0.^714285/1.5)
Wn4 of∈2⅄(2⅄Qn4/φn5)=(0.^63/1.^6)
Wn5 of∈2⅄(2⅄Qn5/φn6)=(0.^846153/1.6)
Wn6 of∈2⅄(2⅄Qn6/φn7)=(0.^7647058823529411/1.625)
Wn7 of∈2⅄(2⅄Qn7/φn8)=(0.^894736842105263157/1.^615384)
Wn8 of∈2⅄(2⅄Qn8/φn9)=(0.^8260869565217391304347/1.^619047)
X
Multiplication path functions dependent on definition of cn and ratio value where applicable with fractals.
Multiplication after division, what is an error in order of operations to PEMDAS with many of these variables.
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.
⅄X=(nncnxnncn) that a function path is factored to the definition of the function path rather than pemdas order of operations.
Variables are factorable to a measured units that then be later can applied in functions of proper order of operations that is parenthesis, exponents, multiplication, division, addition, and then subtraction.
Function path ⅄X=(nncnxnncn) is nncn multiplied by nncn such that nncn is a number or variable with a repeating or not repeating decimal stem cycle variant.
⅄XA examples
⅄XᐱA multiplication complex function of Ancn variables
if A=∈1⅄(φ/Q)cn and path ⅄ of Q is a variant in the definition of A then
A=1⅄(φn2/Qn1)=[(Yn3/Yn2)/(P/P) while Q requires path definition of 1⅄Q or 2⅄Q from P two sets of A complete the formula of Q variable.
A=1⅄(φn2/1⅄Qn1)=[(Yn3/Yn2)/(Pn2/Pn1)=(1/1)/(3/2)=(1/1.5)=0.^6
and
A=1⅄(φn2/2⅄Qn1c1)=[(Yn3/Yn2)/(Pn1/Pn2)=(1/1)/(2/3)=(1/0.^6)=1.^6
Applied function of ⅄X=(nncnxnncn) with A variables is then
⅄Xᐱ of A1⅄(φn2 x 1⅄Qn1)=[(Yn3/Yn2) x (Pn2/Pn1)=(1x1.5)=1.5
and
⅄Xᐱ of A1⅄(φn2 x 2⅄Qn1c1)=[(Yn3/Yn2) x (Pn1/Pn2)=(1x0.^6)=0.6
Any change in cn stem decimal cycle count variable will change the multiple of the exponent squared value in the example and ultimately the final product value also.
For example ⅄Xᐱ of A1⅄(φn2 x 2⅄Qn1c2)=[(Yn3/Yn2) x (Pn1/Pn2)=(1x0.^66)=0.66
if A=∈1⅄(φ/Q) and ⅄X=(nncnxnncn) then (φn x 1⅄Qn) ≠ (φn x 2⅄Qn) ≠ (Ancn x Ancn)
Alternately rather than multiplying variables of A base φn x 1⅄Qn and multiplying variables of A base φn x 2⅄Qn factored variables of are Ancn multiplied in the function ∈n⅄Xᐱ(AncnxAncn) and ∈n⅄Xᐱ represents notation of a complex function.
Then ⅄X=(nncnxnncn) function path applied to variables 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 ᐱ ᗑ ∘⧊° ∘∇° with completed set A=∈1⅄(φ/Q)cn that are An1cn to Ancn
∈n⅄ᐱ(AncnxAncn), ∈n⅄ᐱ(AncnxBncn), ∈n⅄ᐱ(AncnxDncn), ∈n⅄ᐱ(AncnxEncn), ∈n⅄ᐱ(AncnxFncn), ∈n⅄ᐱ(AncnxGncn), ∈n⅄ᐱ(AncnxHncn), ∈n⅄ᐱ(AncnxIncn), ∈n⅄ᐱ(AncnxJncn), ∈n⅄ᐱ(AncnxKncn), ∈n⅄ᐱ(AncnxLncn), ∈n⅄ᐱ(AncnxMncn), ∈n⅄ᐱ(AncnxNncn), ∈n⅄ᐱ(AncnxOncn), ∈n⅄ᐱ(AncnxPn), ∈n⅄ᐱ(AncnxQncn), ∈n⅄ᐱ(AncnxRncn), ∈n⅄ᐱ(AncnxSncn), ∈n⅄ᐱ(AncnxTncn),∈n⅄ᐱ(AncnxUncn), ∈n⅄ᐱ(AncnxVncn), ∈n⅄ᐱ(AncnxWncn), ∈n⅄ᐱ(AncnxYn), ∈n⅄ᐱ(AncnxZncn), ∈n⅄ᐱ(Ancnxφncn), ∈n⅄ᐱ(AncnxΘncn), ∈n⅄ᐱ(AncnxΨncn), ∈n⅄ᐱ(Ancnxᐱncn), ∈n⅄ᐱ(Ancnxᗑncn), ∈n⅄ᐱ(Ancnx∘⧊°ncn), ∈n⅄ᐱ(Ancnx∘∇°ncn)
∈n⅄ᐱ(AncnxAncn) example given variants of 1⅄Qn1 and 2⅄Qn1c1 of ∈An1
if An1 of 1⅄(φn2/1⅄Qn1)=[(Yn3/Yn2)/(Pn2/Pn1)=(1/1)/(3/2)=(1/1.5)=0.^6
and
An1 of 1⅄(φn2/2⅄Qn1c1)=[(Yn3/Yn2)/(Pn1/Pn2)=(1/1)/(2/3)=(1/0.^6)=1.^6
while
An2 of 1⅄(φn3/1⅄Qn2)=[(Yn4/Yn3)/(Pn3/Pn2)=(3/2)/(5/3)=(1.5/1.^6)=0.9375
and
An2 of 1⅄(φn3/2⅄Qn2)=[(Yn4/Yn3)/(Pn2/Pn3)=(3/2)/(3/5)=(1.5/0.6)=2.5
then
n⅄XᐱA has an array of base sets to ∈n⅄ᐱ(AncnxAncn) {0.^6, 0.9375, 1.^6, 2.5} for {1⅄Qn1, 1⅄Qn2, 2⅄Qn1c1, 2⅄Qn2} of An1 and An2
(1⅄Qn1) variant of A is ⅄XᐱAn1 [An1 of 1⅄(φn2/1⅄Qn1)] x [An2 of 1⅄(φn3/1⅄Qn2)]=(0.^6x0.9375)=0.5625
(2⅄Qn1c1) variant of A is ⅄XᐱAn1 [An1 of 1⅄(φn2/2⅄Qn1c1)] x [An2 of 1⅄(φn3/2⅄Qn2c1)]=(1.^6x2.5)=4
alternately a path multiplying variables of A with varying Q paths n⅄ is ∈n⅄ᐱ(Ancn of 2⅄Qn xAncn of 1⅄Qn)
(1⅄Qn1cn and 2⅄Qn1cn) variant of A is ⅄XᐱAn1 [An1 of 1⅄(φn2/1⅄Qn1)] x [An1 of 1⅄(φn2/2⅄Qn1)]=(0.^6x1.^6)=0.96
So multiplying variables
(φn2 x 1⅄Qn1) from ⅄Xᐱ of A1⅄(φn2 x 1⅄Qn1)=(1x1.5)=1.5
and multiplying variables
(φn2 x 2⅄Qn1c1) from ⅄Xᐱ of A1⅄(φn2 x 2⅄Qn1c1)=(1x0.^6)=0.6
and multiplying variables
(φn2 x 2⅄Qn1c1) from ⅄Xᐱ of A1⅄(φn2 x 2⅄Qn1c2)=(1x0.^66)=0.66
for 2⅄Qn1c2 of 2⅄Qn1cnc stem decimal variant of variable in ⅄Xᐱ of A1⅄(φn2 x 2⅄Qn1cn)
While multiplying variables
An1 and An2 of 1⅄(φn/1⅄Qn)=(0.^6x0.9375)=0.5625
and multiplying variables
An1 and An2 of 1⅄(φn/2⅄Qn)=(1.^6x2.5)=4
While multiplying variables
An1 of 1⅄(φn/1⅄Qn) and An1 of 1⅄(φn/2⅄Qn)=(0.^6x1.^6)=0.96
and multiplying variables
An1 of 1⅄(φn/1⅄Qn) and An2 of 1⅄(φn/2⅄Qn)=(0.^6x2.5)=1.5
and multiplying variables
An1 of 1⅄(φn/2⅄Qn) and An2 of 1⅄(φn/1⅄Qn)=(1.^6x0.9375)=1.5
While multiplying variables An1c2 with change in cn of Ancn variables
An1c2 and An2 of 1⅄(φn/1⅄Qn)=(0.^66x0.9375)=0.61875
and multiplying variables
An1c2 and An2 of 1⅄(φn/2⅄Qn)=(1.^66x2.5)=4.15
and multiplying variables of An1cn change
An1c2 of 1⅄(φn/1⅄Qn) and An1 of 1⅄(φn/2⅄Qn)=(0.^66x1.^6)=1.056
and multiplying variables of An1cn change
An1 of 1⅄(φn/1⅄Qn) and An1c2 of 1⅄(φn/2⅄Qn)=(0.^6x1.^66)=0.996
and multiplying variables of An1cn change
An1c2 of 1⅄(φn/1⅄Qn) and An1c2 of 1⅄(φn/2⅄Qn)=(0.^66x1.^66)=1.0956
if Qn2c2 is factored through
An2 of 1⅄(φn3/1⅄Qn2c2)=[(Yn4/Yn3)/(Pn3/Pn2)=(3/2)/(5/3)=(1.5/1.^66)=2.49
rather than
An2 of 1⅄(φn3/1⅄Qn2)=[(Yn4/Yn3)/(Pn3/Pn2)=(3/2)/(5/3)=(1.5/1.^6)=0.9375
then a change in 1⅄Qncn applied to functions
An1 and An2 of 1⅄(φn/1⅄Qn)=(0.^6x0.9375)=0.5625 1⅄Qnc1 to 1⅄Qnc2 (0.^6x2.49)=1.494
An1 of 1⅄(φn/2⅄Qn) and An2 of 1⅄(φn/1⅄Qn)=(1.^6x0.9375)=1.5 1⅄Qnc1 to 1⅄Qnc2 (1.^6x2.49)=3.984
An1c2 and An2 of 1⅄(φn/1⅄Qn)=(0.^66x0.9375)=0.61875 1⅄Qnc1 to 1⅄Qnc2 (0.^66x2.49)=1.6434
And change in both 1⅄Qnc1 to 1⅄Qnc2 with variant An2 of 1⅄(φn/1⅄Qn)
An1c2 of 1⅄(φn/2⅄Qn) and An2 of 1⅄(φn/1⅄Qn)=(1.^66x2.49)=4.1334
It is not that these order of operations are incorrect by any means given the path and extent of the defined variables decimal stem cycles have potential change and limit to the variable definition at cn of the variants.
The values are precise scale variables to the function of ƒ⅄XᐱAn1cn of altered multiplication paths with variants Ancn and altered within the paths sub-units n⅄Qncn. These are multiplication products from ratios divided by ratios from variables of consecutive bases in y fibonacci and p prime variables. ƒ⅄Xᐱ represents complex path multiplication function of complex ratios.
Isolating a variable to a defined ratio numeral and then factoring with PEMDAS is one factoring path while other paths are not arranged to PEMDAS order of operations.
So then if variables of (A) are applicable to multiplication function ⅄X=(nncnxnncn) for new variables from set equations
∈n⅄Xᐱ(AncnxAncn), ∈n⅄Xᐱ(AncnxBncn), ∈n⅄Xᐱ(AncnxDncn), ∈n⅄Xᐱ(AncnxEncn), ∈n⅄Xᐱ(AncnxFncn), ∈n⅄Xᐱ(AncnxGncn), ∈n⅄Xᐱ(AncnxHncn), ∈n⅄Xᐱ(AncnxIncn), ∈n⅄Xᐱ(AncnxJncn), ∈n⅄Xᐱ(AncnxKncn), ∈n⅄Xᐱ(AncnxLncn), ∈n⅄Xᐱ(AncnxMncn), ∈n⅄Xᐱ(AncnxNncn), ∈n⅄Xᐱ(AncnxOncn), ∈n⅄Xᐱ(AncnxPn), ∈n⅄Xᐱ(AncnxQncn), ∈n⅄Xᐱ(AncnxRncn), ∈n⅄Xᐱ(AncnxSncn), ∈n⅄Xᐱ(AncnxTncn), ∈n⅄Xᐱ(AncnxUncn), ∈n⅄Xᐱ(AncnxVncn), ∈n⅄Xᐱ(AncnxWncn), ∈n⅄Xᐱ(AncnxYn), ∈n⅄Xᐱ(AncnxZncn), ∈n⅄Xᐱ(Ancnxφncn), ∈n⅄Xᐱ(AncnxΘncn), ∈n⅄Xᐱ(AncnxΨncn), ∈n⅄Xᐱ(Ancnxᐱncn), ∈n⅄Xᐱ(Ancnxᗑncn), ∈n⅄Xᐱ(Ancnx∘⧊°ncn), ∈n⅄Xᐱ(Ancnx∘∇°ncn)
And ⅄X=(nncnxnncn) function is also applicable to example [Nncn of (AncnxNncn) x Nncn of (AncnxNncn)]=Nncn
Function ⅄X=(nncnxnncn) is applicable with variables from varying equation set variables such as
∈n⅄Xᐱ(AnxAn), ∈n⅄Xᐱ(AnxBn), ∈n⅄Xᐱ(AnxDn), ∈n⅄Xᐱ(AnxEn), ∈n⅄Xᐱ(AnxFn), ∈n⅄Xᐱ(AnxGn), ∈n⅄Xᐱ(AnxHn), ∈n⅄Xᐱ(AnxIn), ∈n⅄Xᐱ(AnxJn), ∈n⅄Xᐱ(AnxKn), ∈n⅄Xᐱ(AnxLn), ∈n⅄Xᐱ(AnxMn), ∈n⅄Xᐱ(AnxNn), ∈n⅄Xᐱ(AnxOn), ∈n⅄Xᐱ(AnxPn), ∈n⅄Xᐱ(AnxQn), ∈n⅄Xᐱ(AnxRn), ∈n⅄Xᐱ(AnxSn), ∈n⅄Xᐱ(AnxTn),∈n⅄Xᐱ(AnxUn), ∈n⅄Xᐱ(AnxVn), ∈n⅄Xᐱ(AnxWn), ∈n⅄Xᐱ(AnxYn), ∈n⅄Xᐱ(AnxZn), ∈n⅄Xᐱ(Anxφn), ∈n⅄Xᐱ(AnxΘn), ∈n⅄Xᐱ(AncnxΨncn), ∈n⅄Xᐱ(Ancnxᐱncn), ∈n⅄Xᐱ(Ancnxᗑncn), ∈n⅄Xᐱ(Ancnx∘⧊°ncn), ∈n⅄Xᐱ(Ancnx∘∇°ncn)
∈n⅄Xᐱ(BnxAn), ∈n⅄Xᐱ(BnxBn), ∈n⅄Xᐱ(BnxDn), ∈n⅄Xᐱ(BnxEn), ∈n⅄Xᐱ(BnxFn), ∈n⅄Xᐱ(BnxGn), ∈n⅄Xᐱ(BnxHn), ∈n⅄Xᐱ(BnxIn), ∈n⅄Xᐱ(BnxJn), ∈n⅄Xᐱ(BnxKn), ∈n⅄Xᐱ(BnxLn), ∈n⅄Xᐱ(BnxMn), ∈n⅄Xᐱ(BnxNn), ∈n⅄Xᐱ(BnxOn), ∈n⅄Xᐱ(BnxPn), ∈n⅄Xᐱ(BnxQn), ∈n⅄Xᐱ(BnxRn), ∈n⅄Xᐱ(BnxSn), ∈n⅄Xᐱ(BnxTn),∈n⅄Xᐱ(BnxUn), ∈n⅄Xᐱ(BnxVn), ∈n⅄Xᐱ(BnxWn), ∈n⅄Xᐱ(BnxYn), ∈n⅄Xᐱ(BnxZn), ∈n⅄Xᐱ(Bnxφn), ∈n⅄Xᐱ(BnxΘn), ∈n⅄Xᐱ(BncnxΨncn), ∈n⅄Xᐱ(Bncnxᐱncn), ∈n⅄Xᐱ(Bncnxᗑncn), ∈n⅄Xᐱ(Bncnx∘⧊°ncn), ∈n⅄Xᐱ(Bncnx∘∇°ncn)
∈n⅄Xᐱ(DnxAn), ∈n⅄Xᐱ(DnxBn), ∈n⅄Xᐱ(DnxDn), ∈n⅄Xᐱ(DnxEn), ∈n⅄Xᐱ(DnxFn), ∈n⅄Xᐱ(DnxGn), ∈n⅄Xᐱ(DnxHn), ∈n⅄Xᐱ(DnxIn), ∈n⅄Xᐱ(DnxJn), ∈n⅄Xᐱ(DnxKn), ∈n⅄Xᐱ(DnxLn), ∈n⅄Xᐱ(DnxMn), ∈n⅄Xᐱ(DnxNn), ∈n⅄Xᐱ(DnxOn), ∈n⅄Xᐱ(DnxPn), ∈n⅄Xᐱ(DnxQn), ∈n⅄Xᐱ(DnxRn), ∈n⅄Xᐱ(DnxSn), ∈n⅄Xᐱ(DnxTn),∈n⅄Xᐱ(DnxUn), ∈n⅄Xᐱ(DnxVn), ∈n⅄Xᐱ(DnxWn), ∈n⅄Xᐱ(DnxYn), ∈n⅄Xᐱ(DnxZn), ∈n⅄Xᐱ(Dnxφn), ∈n⅄Xᐱ(DnxΘn), ∈n⅄Xᐱ(DncnxΨncn), ∈n⅄Xᐱ(Dncnxᐱncn), ∈n⅄Xᐱ(Dncnxᗑncn), ∈n⅄Xᐱ(Dncnx∘⧊°ncn), ∈n⅄Xᐱ(Dncnx∘∇°ncn)
∈n⅄Xᐱ(EnxAn), ∈n⅄Xᐱ(EnxBn), ∈n⅄Xᐱ(EnxDn), ∈n⅄Xᐱ(EnxEn), ∈n⅄Xᐱ(EnxFn), ∈n⅄Xᐱ(EnxGn), ∈n⅄Xᐱ(EnxHn), ∈n⅄Xᐱ(EnxIn), ∈n⅄Xᐱ(EnxJn), ∈n⅄Xᐱ(EnxKn), ∈n⅄Xᐱ(EnxLn), ∈n⅄Xᐱ(EnxMn), ∈n⅄Xᐱ(EnxNn), ∈n⅄Xᐱ(EnxOn), ∈n⅄Xᐱ(EnxPn), ∈n⅄Xᐱ(EnxQn), ∈n⅄Xᐱ(EnxRn), ∈n⅄Xᐱ(EnxSn), ∈n⅄Xᐱ(EnxTn),∈n⅄Xᐱ(EnxUn), ∈n⅄Xᐱ(EnxVn), ∈n⅄Xᐱ(EnxWn), ∈n⅄Xᐱ(EnxYn), ∈n⅄Xᐱ(EnxZn), ∈n⅄Xᐱ(Enxφn), ∈n⅄Xᐱ(EnxΘn), ∈n⅄Xᐱ(EncnxΨncn), ∈n⅄Xᐱ(Encnxᐱncn), ∈n⅄Xᐱ(Encnxᗑncn), ∈n⅄Xᐱ(Encnx∘⧊°ncn), ∈n⅄Xᐱ(Encnx∘∇°ncn)
∈n⅄Xᐱ(FnxAn), ∈n⅄Xᐱ(FnxBn), ∈n⅄Xᐱ(FnxDn), ∈n⅄Xᐱ(FnxEn), ∈n⅄Xᐱ(FnxFn), ∈n⅄Xᐱ(FnxGn), ∈n⅄Xᐱ(FnxHn), ∈n⅄Xᐱ(FnxIn), ∈n⅄Xᐱ(FnxJn), ∈n⅄Xᐱ(FnxKn), ∈n⅄Xᐱ(FnxLn), ∈n⅄Xᐱ(FnxMn), ∈n⅄Xᐱ(FnxNn), ∈n⅄Xᐱ(FnxOn), ∈n⅄Xᐱ(FnxPn), ∈n⅄Xᐱ(FnxQn), ∈n⅄Xᐱ(FnxRn), ∈n⅄Xᐱ(FnxSn), ∈n⅄Xᐱ(FnxTn),∈n⅄Xᐱ(FnxUn), ∈n⅄Xᐱ(FnxVn), ∈n⅄Xᐱ(FnxWn), ∈n⅄Xᐱ(FnxYn), ∈n⅄Xᐱ(FnxZn), ∈n⅄Xᐱ(Fnxφn), ∈n⅄Xᐱ(FnxΘn), ∈n⅄Xᐱ(FncnxΨncn), ∈n⅄Xᐱ(Fncnxᐱncn), ∈n⅄Xᐱ(Fncnxᗑncn), ∈n⅄Xᐱ(Fncnx∘⧊°ncn), ∈n⅄Xᐱ(Fncnx∘∇°ncn)
∈n⅄Xᐱ(GnxAn), ∈n⅄Xᐱ(GnxBn), ∈n⅄Xᐱ(GnxDn), ∈n⅄Xᐱ(GnxEn), ∈n⅄Xᐱ(GnxFn), ∈n⅄Xᐱ(GnxGn), ∈n⅄Xᐱ(GnxHn), ∈n⅄Xᐱ(GnxIn), ∈n⅄Xᐱ(GnxJn), ∈n⅄Xᐱ(GnxKn), ∈n⅄Xᐱ(GnxLn), ∈n⅄Xᐱ(GnxMn), ∈n⅄Xᐱ(GnxNn), ∈n⅄Xᐱ(GnxOn), ∈n⅄Xᐱ(GnxPn), ∈n⅄Xᐱ(GnxQn), ∈n⅄Xᐱ(GnxRn), ∈n⅄Xᐱ(GnxSn), ∈n⅄Xᐱ(GnxTn),∈n⅄Xᐱ(GnxUn), ∈n⅄Xᐱ(GnxVn), ∈n⅄Xᐱ(GnxWn), ∈n⅄Xᐱ(GnxYn), ∈n⅄Xᐱ(GnxZn), ∈n⅄Xᐱ(Gnxφn), ∈n⅄Xᐱ(GnxΘn), ∈n⅄Xᐱ(GncnxΨncn), ∈n⅄Xᐱ(Gncnxᐱncn), ∈n⅄Xᐱ(Gncnxᗑncn), ∈n⅄Xᐱ(Gncnx∘⧊°ncn), ∈n⅄Xᐱ(Gncnx∘∇°ncn)
∈n⅄Xᐱ(HnxAn), ∈n⅄Xᐱ(HnxBn), ∈n⅄Xᐱ(HnxDn), ∈n⅄Xᐱ(HnxEn), ∈n⅄Xᐱ(HnxFn), ∈n⅄Xᐱ(HnxGn), ∈n⅄Xᐱ(HnxHn), ∈n⅄Xᐱ(HnxIn), ∈n⅄Xᐱ(HnxJn), ∈n⅄Xᐱ(HnxKn), ∈n⅄Xᐱ(HnxLn), ∈n⅄Xᐱ(HnxMn), ∈n⅄Xᐱ(HnxNn), ∈n⅄Xᐱ(HnxOn), ∈n⅄Xᐱ(HnxPn), ∈n⅄Xᐱ(HnxQn), ∈n⅄Xᐱ(HnxRn), ∈n⅄Xᐱ(HnxSn), ∈n⅄Xᐱ(HnxTn),∈n⅄Xᐱ(HnxUn), ∈n⅄Xᐱ(HnxVn), ∈n⅄Xᐱ(HnxWn), ∈n⅄Xᐱ(HnxYn), ∈n⅄Xᐱ(HnxZn), ∈n⅄Xᐱ(Hnxφn), ∈n⅄Xᐱ(HnxΘn), ∈n⅄Xᐱ(HncnxΨncn), ∈n⅄Xᐱ(Hncnxᐱncn), ∈n⅄Xᐱ(Hncnxᗑncn), ∈n⅄Xᐱ(Hncnx∘⧊°ncn), ∈n⅄Xᐱ(Hncnx∘∇°ncn)
∈n⅄Xᐱ(InxAn), ∈n⅄Xᐱ(InxBn), ∈n⅄Xᐱ(InxDn), ∈n⅄Xᐱ(InxEn), ∈n⅄Xᐱ(InxFn), ∈n⅄Xᐱ(InxGn), ∈n⅄Xᐱ(InxHn), ∈n⅄Xᐱ(InxIn), ∈n⅄Xᐱ(InxJn), ∈n⅄Xᐱ(InxKn), ∈n⅄Xᐱ(InxLn), ∈n⅄Xᐱ(InxMn), ∈n⅄Xᐱ(InxNn), ∈n⅄Xᐱ(InxOn), ∈n⅄Xᐱ(InxPn), ∈n⅄Xᐱ(InxQn), ∈n⅄Xᐱ(InxRn), ∈n⅄Xᐱ(InxSn), ∈n⅄Xᐱ(InxTn),∈n⅄Xᐱ(InxUn), ∈n⅄Xᐱ(InxVn), ∈n⅄Xᐱ(InxWn), ∈n⅄Xᐱ(InxYn), ∈n⅄Xᐱ(InxZn), ∈n⅄Xᐱ(Inxφn), ∈n⅄Xᐱ(InxΘn), ∈n⅄Xᐱ(IncnxΨncn), ∈n⅄Xᐱ(Incnxᐱncn), ∈n⅄Xᐱ(Incnxᗑncn), ∈n⅄Xᐱ(Incnx∘⧊°ncn), ∈n⅄Xᐱ(Incnx∘∇°ncn)
∈n⅄Xᐱ(JnxAn), ∈n⅄Xᐱ(JnxBn), ∈n⅄Xᐱ(JnxDn), ∈n⅄Xᐱ(JnxEn), ∈n⅄Xᐱ(JnxFn), ∈n⅄Xᐱ(JnxGn), ∈n⅄Xᐱ(JnxHn), ∈n⅄Xᐱ(JnxIn), ∈n⅄Xᐱ(JnxJn), ∈n⅄Xᐱ(JnxKn), ∈n⅄Xᐱ(JnxLn), ∈n⅄Xᐱ(JnxMn), ∈n⅄Xᐱ(JnxNn), ∈n⅄Xᐱ(JnxOn), ∈n⅄Xᐱ(JnxPn), ∈n⅄Xᐱ(JnxQn), ∈n⅄Xᐱ(JnxRn), ∈n⅄Xᐱ(JnxSn), ∈n⅄Xᐱ(JnxTn),∈n⅄Xᐱ(JnxUn), ∈n⅄Xᐱ(JnxVn), ∈n⅄Xᐱ(JnxWn), ∈n⅄Xᐱ(JnxYn), ∈n⅄Xᐱ(JnxZn), ∈n⅄Xᐱ(Jnxφn), ∈n⅄Xᐱ(JnxΘn), ∈n⅄Xᐱ(JncnxΨncn), ∈n⅄Xᐱ(Jncnxᐱncn), ∈n⅄Xᐱ(Jncnxᗑncn), ∈n⅄Xᐱ(Jncnx∘⧊°ncn), ∈n⅄Xᐱ(Jncnx∘∇°ncn)
∈n⅄Xᐱ(KnxAn), ∈n⅄Xᐱ(KnxBn), ∈n⅄Xᐱ(KnxDn), ∈n⅄Xᐱ(KnxEn), ∈n⅄Xᐱ(KnxFn), ∈n⅄Xᐱ(KnxGn), ∈n⅄Xᐱ(KnxHn), ∈n⅄Xᐱ(KnxIn), ∈n⅄Xᐱ(KnxJn), ∈n⅄Xᐱ(KnxKn), ∈n⅄Xᐱ(KnxLn), ∈n⅄Xᐱ(KnxMn), ∈n⅄Xᐱ(KnxNn), ∈n⅄Xᐱ(KnxOn), ∈n⅄Xᐱ(KnxPn), ∈n⅄Xᐱ(KnxQn), ∈n⅄Xᐱ(KnxRn), ∈n⅄Xᐱ(KnxSn), ∈n⅄Xᐱ(KnxTn),∈n⅄Xᐱ(KnxUn), ∈n⅄Xᐱ(KnxVn), ∈n⅄Xᐱ(KnxWn), ∈n⅄Xᐱ(KnxYn), ∈n⅄Xᐱ(KnxZn), ∈n⅄Xᐱ(Knxφn), ∈n⅄Xᐱ(KnxΘn), ∈n⅄Xᐱ(KncnxΨncn), ∈n⅄Xᐱ(Kncnxᐱncn), ∈n⅄Xᐱ(Kncnxᗑncn), ∈n⅄Xᐱ(Kncnx∘⧊°ncn), ∈n⅄Xᐱ(Kncnx∘∇°ncn)
∈n⅄Xᐱ(LnxAn), ∈n⅄Xᐱ(LnxBn), ∈n⅄Xᐱ(LnxDn), ∈n⅄Xᐱ(LnxEn), ∈n⅄Xᐱ(LnxFn), ∈n⅄Xᐱ(LnxGn), ∈n⅄Xᐱ(LnxHn), ∈n⅄Xᐱ(LnxIn), ∈n⅄Xᐱ(LnxJn), ∈n⅄Xᐱ(LnxKn), ∈n⅄Xᐱ(LnxLn), ∈n⅄Xᐱ(LnxMn), ∈n⅄Xᐱ(LnxNn), ∈n⅄Xᐱ(LnxOn), ∈n⅄Xᐱ(LnxPn), ∈n⅄Xᐱ(LnxQn), ∈n⅄Xᐱ(LnxRn), ∈n⅄Xᐱ(LnxSn), ∈n⅄Xᐱ(LnxTn),∈n⅄Xᐱ(LnxUn), ∈n⅄Xᐱ(LnxVn), ∈n⅄Xᐱ(LnxWn), ∈n⅄Xᐱ(LnxYn), ∈n⅄Xᐱ(LnxZn), ∈n⅄Xᐱ(Lnxφn), ∈n⅄Xᐱ(LnxΘn), ∈n⅄Xᐱ(LncnxΨncn), ∈n⅄Xᐱ(Lncnxᐱncn), ∈n⅄Xᐱ(Lncnxᗑncn), ∈n⅄Xᐱ(Lncnx∘⧊°ncn), ∈n⅄Xᐱ(Lncnx∘∇°ncn)
∈n⅄Xᐱ(MnxAn), ∈n⅄Xᐱ(MnxBn), ∈n⅄Xᐱ(MnxDn), ∈n⅄Xᐱ(MnxEn), ∈n⅄Xᐱ(MnxFn), ∈n⅄Xᐱ(MnxGn), ∈n⅄Xᐱ(MnxHn), ∈n⅄Xᐱ(MnxIn), ∈n⅄Xᐱ(MnxJn), ∈n⅄Xᐱ(MnxKn), ∈n⅄Xᐱ(MnxLn), ∈n⅄Xᐱ(MnxMn), ∈n⅄Xᐱ(MnxNn), ∈n⅄Xᐱ(MnxOn), ∈n⅄Xᐱ(MnxPn), ∈n⅄Xᐱ(MnxQn), ∈n⅄Xᐱ(MnxRn), ∈n⅄Xᐱ(MnxSn), ∈n⅄Xᐱ(MnxTn),∈n⅄Xᐱ(MnxUn), ∈n⅄Xᐱ(MnxVn), ∈n⅄Xᐱ(MnxWn), ∈n⅄Xᐱ(MnxYn), ∈n⅄Xᐱ(MnxZn), ∈n⅄Xᐱ(Mnxφn), ∈n⅄Xᐱ(MnxΘn), ∈n⅄Xᐱ(MncnxΨncn), ∈n⅄Xᐱ(Mncnxᐱncn), ∈n⅄Xᐱ(Mncnxᗑncn), ∈n⅄Xᐱ(Mncnx∘⧊°ncn), ∈n⅄Xᐱ(Mncnx∘∇°ncn)
∈n⅄Xᐱ(NnxAn), ∈n⅄Xᐱ(NnxBn), ∈n⅄Xᐱ(NnxDn), ∈n⅄Xᐱ(NnxEn), ∈n⅄Xᐱ(NnxFn), ∈n⅄Xᐱ(NnxGn), ∈n⅄Xᐱ(NnxHn), ∈n⅄Xᐱ(NnxIn), ∈n⅄Xᐱ(NnxJn), ∈n⅄Xᐱ(NnxKn), ∈n⅄Xᐱ(NnxLn), ∈n⅄Xᐱ(NnxMn), ∈n⅄Xᐱ(NnxNn), ∈n⅄Xᐱ(NnxOn), ∈n⅄Xᐱ(NnxPn), ∈n⅄Xᐱ(NnxQn), ∈n⅄Xᐱ(NnxRn), ∈n⅄Xᐱ(NnxSn), ∈n⅄Xᐱ(NnxTn),∈n⅄Xᐱ(NnxUn), ∈n⅄Xᐱ(NnxVn), ∈n⅄Xᐱ(NnxWn), ∈n⅄Xᐱ(NnxYn), ∈n⅄Xᐱ(NnxZn), ∈n⅄Xᐱ(Nnxφn), ∈n⅄Xᐱ(NnxΘn), ∈n⅄Xᐱ(NncnxΨncn), ∈n⅄Xᐱ(Nncnxᐱncn), ∈n⅄Xᐱ(Nncnxᗑncn), ∈n⅄Xᐱ(Nncnx∘⧊°ncn), ∈n⅄Xᐱ(Nncnx∘∇°ncn)
∈n⅄Xᐱ(OnxAn), ∈n⅄Xᐱ(OnxBn), ∈n⅄Xᐱ(OnxDn), ∈n⅄Xᐱ(OnxEn), ∈n⅄Xᐱ(OnxFn), ∈n⅄Xᐱ(OnxGn), ∈n⅄Xᐱ(OnxHn), ∈n⅄Xᐱ(OnxIn), ∈n⅄Xᐱ(OnxJn), ∈n⅄Xᐱ(OnxKn), ∈n⅄Xᐱ(OnxLn), ∈n⅄Xᐱ(OnxMn), ∈n⅄Xᐱ(OnxNn), ∈n⅄Xᐱ(OnxOn), ∈n⅄Xᐱ(OnxPn), ∈n⅄Xᐱ(OnxQn), ∈n⅄Xᐱ(OnxRn), ∈n⅄Xᐱ(OnxSn), ∈n⅄Xᐱ(OnxTn),∈n⅄Xᐱ(OnxUn), ∈n⅄Xᐱ(OnxVn), ∈n⅄Xᐱ(OnxWn), ∈n⅄Xᐱ(OnxYn), ∈n⅄Xᐱ(OnxZn), ∈n⅄Xᐱ(Onxφn), ∈n⅄Xᐱ(OnxΘn), ∈n⅄Xᐱ(OncnxΨncn), ∈n⅄Xᐱ(Oncnxᐱncn), ∈n⅄Xᐱ(Oncnxᗑncn), ∈n⅄Xᐱ(Oncnx∘⧊°ncn), ∈n⅄Xᐱ(Oncnx∘∇°ncn)
∈n⅄Xᐱ(PnxAn), ∈n⅄Xᐱ(PnxBn), ∈n⅄Xᐱ(PnxDn), ∈n⅄Xᐱ(PnxEn), ∈n⅄Xᐱ(PnxFn), ∈n⅄Xᐱ(PnxGn), ∈n⅄Xᐱ(PnxHn), ∈n⅄Xᐱ(PnxIn), ∈n⅄Xᐱ(PnxJn), ∈n⅄Xᐱ(PnxKn), ∈n⅄Xᐱ(PnxLn), ∈n⅄Xᐱ(PnxMn), ∈n⅄Xᐱ(PnxNn), ∈n⅄Xᐱ(PnxOn), ∈n⅄Xᐱ(PnxPn), ∈n⅄Xᐱ(PnxQn), ∈n⅄Xᐱ(PnxRn), ∈n⅄Xᐱ(PnxSn), ∈n⅄Xᐱ(PnxTn),∈n⅄Xᐱ(PnxUn), ∈n⅄Xᐱ(PnxVn), ∈n⅄Xᐱ(PnxWn), ∈n⅄Xᐱ(PnxYn), ∈n⅄Xᐱ(PnxZn), ∈n⅄Xᐱ(Pnxφn), ∈n⅄Xᐱ(PnxΘn), ∈n⅄Xᐱ(PncnxΨncn), ∈n⅄Xᐱ(Pncnxᐱncn), ∈n⅄Xᐱ(Pncnxᗑncn), ∈n⅄Xᐱ(Pncnx∘⧊°ncn), ∈n⅄Xᐱ(Pncnx∘∇°ncn)
∈n⅄Xᐱ(QnxAn), ∈n⅄Xᐱ(QnxBn), ∈n⅄Xᐱ(QnxDn), ∈n⅄Xᐱ(QnxEn), ∈n⅄Xᐱ(QnxFn), ∈n⅄Xᐱ(QnxGn), ∈n⅄Xᐱ(QnxHn), ∈n⅄Xᐱ(QnxIn), ∈n⅄Xᐱ(QnxJn), ∈n⅄Xᐱ(QnxKn), ∈n⅄Xᐱ(QnxLn), ∈n⅄Xᐱ(QnxMn), ∈n⅄Xᐱ(QnxNn), ∈n⅄Xᐱ(QnxOn), ∈n⅄Xᐱ(QnxPn), ∈n⅄Xᐱ(QnxQn), ∈n⅄Xᐱ(QnxRn), ∈n⅄Xᐱ(QnxSn), ∈n⅄Xᐱ(QnxTn),∈n⅄Xᐱ(QnxUn), ∈n⅄Xᐱ(QnxVn), ∈n⅄Xᐱ(QnxWn), ∈n⅄Xᐱ(QnxYn), ∈n⅄Xᐱ(QnxZn), ∈n⅄Xᐱ(Qnxφn), ∈n⅄Xᐱ(QnxΘn), ∈n⅄Xᐱ(QncnxΨncn), ∈n⅄Xᐱ(Qncnxᐱncn), ∈n⅄Xᐱ(Qncnxᗑncn), ∈n⅄Xᐱ(Qncnx∘⧊°ncn), ∈n⅄Xᐱ(Qncnx∘∇°ncn)
∈n⅄Xᐱ(RnxAn), ∈n⅄Xᐱ(RnxBn), ∈n⅄Xᐱ(RnxDn), ∈n⅄Xᐱ(RnxEn), ∈n⅄Xᐱ(RnxFn), ∈n⅄Xᐱ(RnxGn), ∈n⅄Xᐱ(RnxHn), ∈n⅄Xᐱ(RnxIn), ∈n⅄Xᐱ(RnxJn), ∈n⅄Xᐱ(RnxKn), ∈n⅄Xᐱ(RnxLn), ∈n⅄Xᐱ(RnxMn), ∈n⅄Xᐱ(RnxNn), ∈n⅄Xᐱ(RnxOn), ∈n⅄Xᐱ(RnxPn), ∈n⅄Xᐱ(RnxQn), ∈n⅄Xᐱ(RnxRn), ∈n⅄Xᐱ(RnxSn), ∈n⅄Xᐱ(RnxTn),∈n⅄Xᐱ(RnxUn), ∈n⅄Xᐱ(RnxVn), ∈n⅄Xᐱ(RnxWn), ∈n⅄Xᐱ(RnxYn), ∈n⅄Xᐱ(RnxZn), ∈n⅄Xᐱ(Rnxφn), ∈n⅄Xᐱ(RnxΘn), ∈n⅄Xᐱ(RncnxΨncn), ∈n⅄Xᐱ(Rncnxᐱncn), ∈n⅄Xᐱ(Rncnxᗑncn), ∈n⅄Xᐱ(Rncnx∘⧊°ncn), ∈n⅄Xᐱ(Rncnx∘∇°ncn)
∈n⅄Xᐱ(SnxAn), ∈n⅄Xᐱ(SnxBn), ∈n⅄Xᐱ(SnxDn), ∈n⅄Xᐱ(SnxEn), ∈n⅄Xᐱ(SnxFn), ∈n⅄Xᐱ(SnxGn), ∈n⅄Xᐱ(SnxHn), ∈n⅄Xᐱ(SnxIn), ∈n⅄Xᐱ(SnxJn), ∈n⅄Xᐱ(SnxKn), ∈n⅄Xᐱ(SnxLn), ∈n⅄Xᐱ(SnxMn), ∈n⅄Xᐱ(SnxNn), ∈n⅄Xᐱ(SnxOn), ∈n⅄Xᐱ(SnxPn), ∈n⅄Xᐱ(SnxQn), ∈n⅄Xᐱ(SnxRn), ∈n⅄Xᐱ(SnxSn), ∈n⅄Xᐱ(SnxTn),∈n⅄Xᐱ(SnxUn), ∈n⅄Xᐱ(SnxVn), ∈n⅄Xᐱ(SnxWn), ∈n⅄Xᐱ(SnxYn), ∈n⅄Xᐱ(SnxZn), ∈n⅄Xᐱ(Snxφn), ∈n⅄Xᐱ(SnxΘn), ∈n⅄Xᐱ(SncnxΨncn), ∈n⅄Xᐱ(Sncnxᐱncn), ∈n⅄Xᐱ(Sncnxᗑncn), ∈n⅄Xᐱ(Sncnx∘⧊°ncn), ∈n⅄Xᐱ(Sncnx∘∇°ncn)
∈n⅄Xᐱ(TnxAn), ∈n⅄Xᐱ(TnxBn), ∈n⅄Xᐱ(TnxDn), ∈n⅄Xᐱ(TnxEn), ∈n⅄Xᐱ(TnxFn), ∈n⅄Xᐱ(TnxGn), ∈n⅄Xᐱ(TnxHn), ∈n⅄Xᐱ(TnxIn), ∈n⅄Xᐱ(TnxJn), ∈n⅄Xᐱ(TnxKn), ∈n⅄Xᐱ(TnxLn), ∈n⅄Xᐱ(TnxMn), ∈n⅄Xᐱ(TnxNn), ∈n⅄Xᐱ(TnxOn), ∈n⅄Xᐱ(TnxPn), ∈n⅄Xᐱ(TnxQn), ∈n⅄Xᐱ(TnxRn), ∈n⅄Xᐱ(TnxSn), ∈n⅄Xᐱ(TnxTn),∈n⅄Xᐱ(TnxUn), ∈n⅄Xᐱ(TnxVn), ∈n⅄Xᐱ(TnxWn), ∈n⅄Xᐱ(TnxYn), ∈n⅄Xᐱ(TnxZn), ∈n⅄Xᐱ(Tnxφn), ∈n⅄Xᐱ(TnxΘn), ∈n⅄Xᐱ(TncnxΨncn), ∈n⅄Xᐱ(Tncnxᐱncn), ∈n⅄Xᐱ(Tncnxᗑncn), ∈n⅄Xᐱ(Tncnx∘⧊°ncn), ∈n⅄Xᐱ(Tncnx∘∇°ncn)
∈n⅄Xᐱ(UnxAn), ∈n⅄Xᐱ(UnxBn), ∈n⅄Xᐱ(UnxDn), ∈n⅄Xᐱ(UnxEn), ∈n⅄Xᐱ(UnxFn), ∈n⅄Xᐱ(UnxGn), ∈n⅄Xᐱ(UnxHn), ∈n⅄Xᐱ(UnxIn), ∈n⅄Xᐱ(UnxJn), ∈n⅄Xᐱ(UnxKn), ∈n⅄Xᐱ(UnxLn), ∈n⅄Xᐱ(UnxMn), ∈n⅄Xᐱ(UnxNn), ∈n⅄Xᐱ(UnxOn), ∈n⅄Xᐱ(UnxPn), ∈n⅄Xᐱ(UnxQn), ∈n⅄Xᐱ(UnxRn), ∈n⅄Xᐱ(UnxSn), ∈n⅄Xᐱ(UnxTn), ∈n⅄Xᐱ(UnxUn), ∈n⅄Xᐱ(UnxVn), ∈n⅄Xᐱ(UnxWn), ∈n⅄Xᐱ(UnxYn), ∈n⅄Xᐱ(UnxZn), ∈n⅄Xᐱ(Unxφn), ∈n⅄Xᐱ(UnxΘn), ∈n⅄Xᐱ(UncnxΨncn), ∈n⅄Xᐱ(Uncnxᐱncn), ∈n⅄Xᐱ(Uncnxᗑncn), ∈n⅄Xᐱ(Uncnx∘⧊°ncn), ∈n⅄Xᐱ(Uncnx∘∇°ncn)
∈n⅄Xᐱ(VnxAn), ∈n⅄Xᐱ(VnxBn), ∈n⅄Xᐱ(VnxDn), ∈n⅄Xᐱ(VnxEn), ∈n⅄Xᐱ(VnxFn), ∈n⅄Xᐱ(VnxGn), ∈n⅄Xᐱ(VnxHn), ∈n⅄Xᐱ(VnxIn), ∈n⅄Xᐱ(VnxJn), ∈n⅄Xᐱ(VnxKn), ∈n⅄Xᐱ(VnxLn), ∈n⅄Xᐱ(VnxMn), ∈n⅄Xᐱ(VnxNn), ∈n⅄Xᐱ(VnxOn), ∈n⅄Xᐱ(VnxPn), ∈n⅄Xᐱ(VnxQn), ∈n⅄Xᐱ(VnxRn), ∈n⅄Xᐱ(VnxSn), ∈n⅄Xᐱ(VnxTn),∈n⅄Xᐱ(VnxUn), ∈n⅄Xᐱ(VnxVn), ∈n⅄Xᐱ(VnxWn), ∈n⅄Xᐱ(VnxYn), ∈n⅄Xᐱ(VnxZn), ∈n⅄Xᐱ(Vnxφn), ∈n⅄Xᐱ(VnxΘn), ∈n⅄Xᐱ(VncnxΨncn), ∈n⅄Xᐱ(Vncnxᐱncn), ∈n⅄Xᐱ(Vncnxᗑncn), ∈n⅄Xᐱ(Vncnx∘⧊°ncn), ∈n⅄Xᐱ(Vncnx∘∇°ncn)
∈n⅄Xᐱ(WnxAn), ∈n⅄Xᐱ(WnxBn), ∈n⅄Xᐱ(WnxDn), ∈n⅄Xᐱ(WnxEn), ∈n⅄Xᐱ(WnxFn), ∈n⅄Xᐱ(WnxGn), ∈n⅄Xᐱ(WnxHn), ∈n⅄Xᐱ(WnxIn), ∈n⅄Xᐱ(WnxJn), ∈n⅄Xᐱ(WnxKn), ∈n⅄Xᐱ(WnxLn), ∈n⅄Xᐱ(WnxMn), ∈n⅄Xᐱ(WnxNn), ∈n⅄Xᐱ(WnxOn), ∈n⅄Xᐱ(WnxPn), ∈n⅄Xᐱ(WnxQn), ∈n⅄Xᐱ(WnxRn), ∈n⅄Xᐱ(WnxSn), ∈n⅄Xᐱ(WnxTn),∈n⅄Xᐱ(WnxUn), ∈n⅄Xᐱ(WnxVn), ∈n⅄Xᐱ(WnxWn), ∈n⅄Xᐱ(WnxYn), ∈n⅄Xᐱ(WnxZn), ∈n⅄Xᐱ(Wnxφn), ∈n⅄Xᐱ(WnxΘn), ∈n⅄Xᐱ(WncnxΨncn), ∈n⅄Xᐱ(Wncnxᐱncn), ∈n⅄Xᐱ(Wncnxᗑncn), ∈n⅄Xᐱ(Wncnx∘⧊°ncn), ∈n⅄Xᐱ(Wncnx∘∇°ncn)
∈n⅄Xᐱ(YnxAn), ∈n⅄Xᐱ(YnxBn), ∈n⅄Xᐱ(YnxDn), ∈n⅄Xᐱ(YnxEn), ∈n⅄Xᐱ(YnxFn), ∈n⅄Xᐱ(YnxGn), ∈n⅄Xᐱ(YnxHn), ∈n⅄Xᐱ(YnxIn), ∈n⅄Xᐱ(YnxJn), ∈n⅄Xᐱ(YnxKn), ∈n⅄Xᐱ(YnxLn), ∈n⅄Xᐱ(YnxMn), ∈n⅄Xᐱ(YnxNn), ∈n⅄Xᐱ(YnxOn), ∈n⅄Xᐱ(YnxPn), ∈n⅄Xᐱ(YnxQn), ∈n⅄Xᐱ(YnxRn), ∈n⅄Xᐱ(YnxSn), ∈n⅄Xᐱ(YnxTn),∈n⅄Xᐱ(YnxUn), ∈n⅄Xᐱ(YnxVn), ∈n⅄Xᐱ(YnxWn), ∈n⅄Xᐱ(YnxYn), ∈n⅄Xᐱ(YnxZn), ∈n⅄Xᐱ(Ynxφn), ∈n⅄Xᐱ(YnxΘn), ∈n⅄Xᐱ(YncnxΨncn), ∈n⅄Xᐱ(Yncnxᐱncn), ∈n⅄Xᐱ(Yncnxᗑncn), ∈n⅄Xᐱ(Yncnx∘⧊°ncn), ∈n⅄Xᐱ(Yncnx∘∇°ncn)
∈n⅄Xᐱ(ZnxAn), ∈n⅄Xᐱ(ZnxBn), ∈n⅄Xᐱ(ZnxDn), ∈n⅄Xᐱ(ZnxEn), ∈n⅄Xᐱ(ZnxFn), ∈n⅄Xᐱ(ZnxGn), ∈n⅄Xᐱ(ZnxHn), ∈n⅄Xᐱ(ZnxIn), ∈n⅄Xᐱ(ZnxJn), ∈n⅄Xᐱ(ZnxKn), ∈n⅄Xᐱ(ZnxLn), ∈n⅄Xᐱ(ZnxMn), ∈n⅄Xᐱ(ZnxNn), ∈n⅄Xᐱ(ZnxOn), ∈n⅄Xᐱ(ZnxPn), ∈n⅄Xᐱ(ZnxQn), ∈n⅄Xᐱ(ZnxRn), ∈n⅄Xᐱ(ZnxSn), ∈n⅄Xᐱ(ZnxTn),∈n⅄Xᐱ(ZnxUn), ∈n⅄Xᐱ(ZnxVn), ∈n⅄Xᐱ(ZnxWn), ∈n⅄Xᐱ(ZnxYn), ∈n⅄Xᐱ(ZnxZn), ∈n⅄Xᐱ(Znxφn), ∈n⅄Xᐱ(ZnxΘn), ∈n⅄Xᐱ(ZncnxΨncn), ∈n⅄Xᐱ(Zncnxᐱncn), ∈n⅄Xᐱ(Zncnxᗑncn), ∈n⅄Xᐱ(Zncnx∘⧊°ncn), ∈n⅄Xᐱ(Zncnx∘∇°ncn)
∈n⅄Xᐱ(φnxAn), ∈n⅄Xᐱ(φnxBn), ∈n⅄Xᐱ(φnxDn), ∈n⅄Xᐱ(φnxEn), ∈n⅄Xᐱ(φnxFn), ∈n⅄Xᐱ(φnxGn), ∈n⅄Xᐱ(φnxHn), ∈n⅄Xᐱ(φnxIn), ∈n⅄Xᐱ(φnxJn), ∈n⅄Xᐱ(φnxKn), ∈n⅄Xᐱ(φnxLn), ∈n⅄Xᐱ(φnxMn), ∈n⅄Xᐱ(φnxNn), ∈n⅄Xᐱ(φnxOn), ∈n⅄Xᐱ(φnxPn), ∈n⅄Xᐱ(φnxQn), ∈n⅄Xᐱ(φnxRn), ∈n⅄Xᐱ(φnxSn), ∈n⅄Xᐱ(φnxTn),∈n⅄Xᐱ(φnxUn), ∈n⅄Xᐱ(φnxVn), ∈n⅄Xᐱ(φnxWn), ∈n⅄Xᐱ(φnxYn), ∈n⅄Xᐱ(φnxZn), ∈n⅄Xᐱ(φnxφn), ∈n⅄Xᐱ(φnxΘn), ∈n⅄Xᐱ(φncnxΨncn), ∈n⅄Xᐱ(φncnxᐱncn), ∈n⅄Xᐱ(φncnxᗑncn), ∈n⅄Xᐱ(φncnx∘⧊°ncn), ∈n⅄Xᐱ(φncnx∘∇°ncn)
∈n⅄Xᐱ(ΘnxAn), ∈n⅄Xᐱ(ΘnxBn), ∈n⅄Xᐱ(ΘnxDn), ∈n⅄Xᐱ(ΘnxEn), ∈n⅄Xᐱ(ΘnxFn), ∈n⅄Xᐱ(ΘnxGn), ∈n⅄Xᐱ(ΘnxHn), ∈n⅄Xᐱ(ΘnxIn), ∈n⅄Xᐱ(ΘnxJn), ∈n⅄Xᐱ(ΘnxKn), ∈n⅄Xᐱ(ΘnxLn), ∈n⅄Xᐱ(ΘnxMn), ∈n⅄Xᐱ(ΘnxNn), ∈n⅄Xᐱ(ΘnxOn), ∈n⅄Xᐱ(ΘnxPn), ∈n⅄Xᐱ(ΘnxQn), ∈n⅄Xᐱ(ΘnxRn), ∈n⅄Xᐱ(ΘnxSn), ∈n⅄Xᐱ(ΘnxTn),∈n⅄Xᐱ(ΘnxUn), ∈n⅄Xᐱ(ΘnxVn), ∈n⅄Xᐱ(ΘnxWn), ∈n⅄Xᐱ(ΘnxYn), ∈n⅄Xᐱ(ΘnxZn), ∈n⅄Xᐱ(Θnxφn), ∈n⅄Xᐱ(ΘnxΘn), ∈n⅄Xᐱ(ΘncnxΨncn), ∈n⅄Xᐱ(Θncnxᐱncn), ∈n⅄Xᐱ(Θncnxᗑncn), ∈n⅄Xᐱ(Θncnx∘⧊°ncn), ∈n⅄Xᐱ(Θncnx∘∇°ncn)
∈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)
Y
0
1
1
2
3
5
8
13
21
34
55
89
144
233
377
610
987
1597
2584
4181
6765
10946
17711
28657
46368
75025
121393
196418
317811
514229
832040
1346296
2178309
3524578
5702887
9227465
14930352
24157817
39088169
63245986
102334155
165780141
269114296
434894437
704008733
1138903170
1Z
Given Z=∈(P/φ)cn
Z represents ∈(P/φ)cn
3⅄p/φncn that path 3⅄ of p/φncn differ from paths 2⅄p/φncn and 1⅄p/φncn
3⅄Zn1=pn1/φn1=(pn1/φn1)=(2/0)=0
3⅄Zn2=pn2/φn2=(pn2/φn2)=(3//1)=3
3⅄Zn3=pn3/φn3=(pn3/φn3)=(5/2)=2.5
3⅄Zn4=pn4/φn4=(pn4/φn4)=(7/.1.5)=4
3⅄Zn5=pn5/φn5=∈(pn5/φn5)=(11/1.^6)=6.875 →. . .(pn5/φn5c2)=(11/1.^66)=6.6265060^24096084337349397590361445784337951712047→. . . and so on
3⅄Zn6=pn6/φn6=(pn6/φn6)=(13/1.6)=8.125
3⅄Zn7=pn7/φn7=∈(pn7/φn7)=(17/1.625)=10.46150^76923
3⅄Zn8=pn8/φn8=∈(pn8/φn8)=(19/1.^615384)= 11.7619924287971155465202081053173734542375063761929052163510348003942096739846377084334127365385567765992482282850393466816496882475006561907261678956830078792410968537573691456644 extended shell 588704/1615384. . . then (pn8/φn8c2)=(19/1.^615384615384)→. . . and so on
3⅄Zn9=pn9/φn9=∈(pn9/φn9)=(23/1.^619047)=^14.205887784604152936882005278413782922916999938852917796703863445594846845088499592661608958850484266361631255917833145053849579413074481469654679573848072353674723463864853830679405848008118356045253782008799003364324815771253089008534032674777199179517333344862749506345399485005685443350316575121043428634252124861106564540745265579072133174639155009088679945671743933313856855298209378727115395661768929499884808779485709803359630696329383890646781717887127427431075194234633089712651948955156953442364551492328511772666266019454654497367896052430843576499014543740854959738661076546882209102021127243372181289363434168371887906898317343474278387224089232740000753529699879002894912871584333252833302553909800024335303422321896770137000346500132485344773808295867877831835641584215899847255823950756216465612178028185716659244605005290149081527589995843233704765828292816700194620662649076895235283472314268826043962899162284973814842929204649401777712444419464042736251634449154348206074314087237739237959120396134269110161718591245343711454948497480307860117711221477819976813520546346091249976066167319416916247644447628759387466824619668236931972944577890573899337079158294972289254110597159934208210138433288224492556423624514915255702891886399838917585468488561480920566234334148421880278954224306026940539712559301860909535053645755805730161014473329063331700685650262160394355444900611285527844466528766613940175918302556998036499249249712948419656748692286264697689443234198883664279048106694864324506947605597613904970022488538010323356888342339660306340705365563816244988564260333393656885809985750876904747051815049223401173653389926296148289703757827907404788125360165578886838986144318231651088572475042416927982943052301755291847611588792666303078292353464723383570705482916802291718523304141263348130103696804354660488546657385486647391953414570423218102995157027560039949427039486809215544700061208846932794415480217683612643734246133682345231484941450124672106492276011752592728932514003608295497289454845968029340717100862420917984468641120362781315181091098652478896536048675548023003655854339003129618843677793170920918293292288611757410377833379759821672872992569085394062062435494460630234946854538503205898284608167644299393408591597402669595138374611731469191444102610980410080745030873100039714721067393349297457084321826358345372308524706200622959061719641245745182196687310498089308092970741429989370290053346196867663508224282556343330366567493099335596804787013595034609866174360596079051441990257231568941482242331445597317434268430749694110177159773619913442908081111913366319816534047498312278766459528352172605242466710354918665115960191396543769266735307869382420646219658848693089206181167069269761779614798088011033651277572547307150440969286252962390838561202979283492078982265493219159172031448129671343697866708007858944181361010520386375441849433648312865531389762001967824281815166576387220383348970104017980948051538960882543866855007915150085204444342875778158385766441616580618104353981076522176317302709556918359998196469898650255366274110634218771907177493920806499131896726901689697704884416573453395732180721127922784205770431618106206922961470544091678623288885375162055209021109331600626788474948534539145559085066708996094616153823823520873699157590854372973730842897086990062672671021903626021974655460897676225582086251974155166588740166283004755266524072494498306719940804683248849477501270809309427088898592814167840711233213118581486516450726878219100495538424764691821793931862385712088654622132649638954273717810539162853209326227095322124681988848995736380722733805751161022502743898107961041279221665584754488288480816183841482057037257102480656830839376497408660773899707667535284645844129293343553337240981886257780039739426959192660867782096504919251880890425046338988306083764090850975913608437556167300887497398160769885000250147154468029649540748353815547047120929781531975291637611508498517955315688797175128331666715049038106985158553148858556916507056311521530875879452542143619054913168055034844572146454055997139057729639720156363589197842928587002106794923186294159465413913246496241307386382235969678458994704909740112547690091763858615593000079676501052779814298164290474581652045925782265740278077165147151379793174626802063189024160509237841767410087539151117910721554099417743895019724566365275374958231601676788876419276277958576866514684255614568323217300053673549934004386531088967769311205913108143247231241588415901453138790906008287591404079066265525336818511136489552187181718628304181410422303984998582499458014498652602425995045233399648064571318806680720201451841731586544430149340939453888614722117393750768198823134844139793347568044658370016435594519492022158714354802547424503427016016212006198708252447272994545556738006988061495435277666429695987824936521299258143833996171822065696672178139362229756146671467844972999548499827367581052310402353977370638406420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Path 1⅄Zn=(pn2/φn1)
1⅄Zn1=(pn2/φn1)=(3/0)
1⅄Zn2=(pn3/φn2)=(5/1)
1⅄Zn3=(pn4/φn3)=(7/2)
1⅄Zn4=(pn5/φn4)=(11/1.5)
1⅄Zn5=(pn6/φn5)=(13/1.^6)
1⅄Zn6=(pn7/φn6)=(17/1.6)
1⅄Zn7=(pn8/φn7)=(19/1.625)
1⅄Zn8=(pn9/φn8)=(23/1.^615384)
Path 2⅄Zn=(pn1/φn2)
2⅄Zn1=(pn1/φn2)=(2/1)
2⅄Zn2=(pn2/φn3)=(3/2)
2⅄Zn3=(pn3/φn4)=(5/1.5)
2⅄Zn4=(pn4/φn5)=(7/1.^6)
2⅄Zn5=(pn5/φn6)=(11/1.6)
2⅄Zn6=(pn6/φn7)=(13/1.625)
2⅄Zn7=(pn7/φn8)=(17/1.^615384)
2⅄Zn8=(pn8/φn9)=(19/1.^619047)
2⅄Zn9=(pn9/φn10)=(23/1.6^1762941)
1φ
2nd tier 1st divide 1φn ratios of Y fibonacci 1-21 step in decimal value with cycle decimal key in bold with ^ repeat notation at start of decimal cycle for calculation variable change when factoring decimals of multiple cycle strain stem(s) factored ratios of previous order as divisor example 1/0 1/1 2/1 3/2 5/3 8/5 13/8 21/13 34/21 55/34 89/55 144/89 . . . y→1φn
∈1⅄1Y=(Y2/Y1) → φn21(Yn22/Yn21) = φn variables
∈2⅄1Y where numbers of y dividing previous by the later do not equal φ ratios will be noted theta Θ
∈3⅄1Y where numbers of y have no decimals to apply path variant of cn & do not equal phi ratio σ
(Yn8/Yn7) (Yn9/Yn8) (Yn10/Yn9) (Yn11/Yn10) (Yn12/Yn11) (Yn13/Yn12) (Yn14/Yn13) (Yn15/Yn14) (Yn16/Yn15) (Yn17/Yn16) (Yn18/Yn17) (Yn19/Yn18) (Yn20/Yn19) (Yn21/Yn20) (Yn22/Yn21) (Yn23/Yn22) (Yn24/Yn23) (Yn25/Yn24) (Yn26/Yn25) (Yn27/Yn26) (Yn28/Yn27) (Yn29/Yn28) (Yn30/Yn29) (Yn31/Yn30) (Yn32/Yn31) (Yn33/Yn32) (Yn34/Yn33) (Yn35/Yn34) (Yn36/Yn35) (Yn37/Yn36) (Yn38/Yn37) (Yn39/Yn38) (Yn40/Yn39) (Yn41/Yn40) (Yn42/Yn41) (Yn43/Yn42) (Yn44/Yn43) (Yn45/Yn44) (Yn46/Yn45)
φ denotes ratio phi tier 2nd tier first divide quotient ratios before 3rd tier second divide of (φn2/φn1) variable constants where (Yn22/Yn21)=φn21=1.6^1803399852 or φn21c2=1.6^18033998521803399852 . . . and so on that φn21 ≠φn22 and φn21c2≠φn22
1φn=∈1⅄1Y=(Y2/Y1) phi ratios cycle back in remainder and vary per step in the ratios
have not read this anywhere . . .
1φn1=(Yn2/Yn1)=(1/0)=0
1φn2=(Yn3/Yn2)=(1/1)=1
1φn3=(Yn4/Yn3)=(2/1)=2
1φn4=(Yn5/Yn4)=(3/2)=1.5
1φn5=(Yn6/Yn5)=(5/3)=1.^6 and 1φn5c2=1.^66 and so on for cn
1φn6=(Yn7/Yn6)=(8/5)=1.6
1φn7=(Yn8/Yn7)=(13/8)=1.625
1φn8=(Yn9/Yn8)=(21/13)=1.^615384 and 1φn8c2=1.^615384615384 and so on for cn
1φn9=(Yn10/Yn9)=(34/21)=1.^619047 and 1φn9c2=1.^619047619047 and so on for cn
1φn10=(Yn11/Yn10)=(55/34)=1.6^1762941 and 1φn10c2=1.6^17629411762941 and so on for cn
1φn11=(Yn12/Yn11)=(89/55)=1.6^18 and 1φn11c2)=1.6^1818 and so on for cn
1φn12=(Yn13/Yn12)=(144/89)=1.^61797752808988764044943820224719101123595505
and
1φn12c2=1.^6179775280898876404494382022471910112359550561797752808988764044943820224719101123595505 and so on for cn
1φn13=(Yn14/Yn13)=(233/144)=1.6180^5 and 1φn13c2=1.6180^55 and 1φn13c3=1.6180^555 and so on for cn cycles of decimal numbers
1φn14=(Yn15/Yn14)=(377/233)=1.^61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832
1φn15=(Yn16/Yn15)=(610/377)=1.6183^0223896551724135014
1φn16=(Yn17/Yn16)=(987/610)=1.618^032786885245901639344262295081967213114754098360655737704918
1φn17=(Yn18/Yn17)=(1597/987)=1.618034447821681864235057244174265450860192502532928064842958459979736575481256332320141843^9716312056737588652482269503546099290780141843
1φn18=(Yn19/Yn18)=(2584/1597)=1.^6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129
1φn19=(Yn20/Yn19)=(4181/2584)=1.6180340557314241486068^11145510835913312693
1φn20=(Yn21/Yn20)=(6765/4181)=1.6180339631667062903611576177947859363788567328390337239894762018655823965558478832791126524754843338914135374312365462807940684046878737144223872279359005022721836881128916527146615642190863429801482898828031571394403252^5711552260224826596508012437215977038985864625687634537192059315953121262855776130112413298254006218607986127720640994977278163118631906242
1φn21=(Yn22/Yn21)=(10946/6765)=1.6^1803399852
1φn22=(Yn23/Yn22)=(17711/10946)=1.6^180339985010049351361227845806687374385163530970217431207747140526219623606797003471770509775260369084598940279554176959619952494246310067604604606248876201845441458249607162433948492782751690115110542682258359217979170473415128814180522565320665083135391923990498995066691028686278092454048985930933674403617759848364701260734516627078384799926913941183994154944291065229307509492545240288598574823679883062305865164445660515253974056276265302393568427005298739265485291430842335099579755161702905171752247414776521152932578110725379133930202813813265119678421523844346811620683354651927644821852731591449132103051342974604423716426274440178896400694319386077105773798647926365795724284672026310981
1φn23=(Yn24/Yn23)=(28657/17711)=1.6180339901755970865563773925808819377787815481903901530122522725989498052058043024109310597932923042177178024956241883575179831742984585850601321212805601038902377053814013889673084523742307040822087^96792953531703461125853989046355372367455253797075263960250691660549940714810005081587713850149624527130032183388854384280955338490203828129411100446050477104624244819603636158319631867201174411382756479024335158940771272090791033820789339958218056575009880864999153068713229066681723222855852295183784088984247078087064536163965896900231494551408729038450680368132798825588617245152729941844051719270509852633956298345660324092371972220653830987894528823894754672237592456665349218000112924171418892213878380667381853085652984021229744226751736209135565467788380102760995991191914629326407217486307944215459319067246344079950313364575687425893512506351984642312687030688912540229236067980351194173112754785161763875557563096380780306024504545197899610411608604821862119586697532606854497205126757382417706510078482299136130094291434701597877025577324826379086443453221161989723900400880808537067359268251369205578454068093275365592004968663542431257410648749364801535768731296934108745977076393201964880582688724521483823612444243690361921969397549528541584326125007057760713680763367398791711365817853311501326859014171983513070972841736773755642256224944949466433290045734289424651346620744170289650499689458528598046411834453164699904014454293941618203376432725424877194963581954717407261024222234769352375876912653153407486872565072553780136639376658573767714979391338716052170967195528202811811868330416135571678617808141832759302128620631246118231607475580147930664558748800169386257156565363107673197447913725933035966347596917170120264242561120207780475410761673536220427982609677601490599062729377223197624809440460730619389080232623793122917980589464174806617356445147083733273107108576590819264863644063011687651741798882050702952967082604031392919654452035458189825532155157811529563548077465981593360058720569137823951216757947038563604539551691039466997910902828750494043249957653435317915419795607249731805092880130992038844785726384732652024165772683642933769973462819715995708881486082095872621534639789582745186607193269713737225453108237818305008187002427869
1φn24=(Yn25/Yn24)=(46368/28657)=1.^618033988205325051470844819764804410789684893743238999197403775691803049865652371148410510520989636040060020239383047771923090344418466692256691209826569424573402659036186621069895662490839934396482534808249293366367728652685207802631119796210350001744774400669993369857277454025194542345674704260739086436123809191471542729525072408137627804724849077014342045573507345500226820672087099138081446069023275290504937711553896081236696095194891300554838259413057891614614230380011864465924555954915029486687371322887950587988973025787765641902502006490560770492375335869072128973723697525909899849949401542380570192274138953833269358271975433576438566493352409533447325260843772900164008793662979376766584080678368286980493422200509474124995638063998325016575356806364937013644135813239348152283909690477021321143176187318979655930488187877307464144886066231636249432948319782252154796384827441811773737655721115259796908259762012771748612904351467355270963464424049970338835188610112712426283281571692780123530027567435530585895243744983773598073769061660327319677565690756185225250375126496144048574519314652615416826604320061416058903583766618976166381686847890567749589978015842551558083539798304079282548766444498726314687510904840004187458561607984087657465889660466901629619290225773807446697142059531702550860173779530306731339637784834420909376417629200544369613009037931395470565655860697211850507729350594968070628467739121331611822591338939875074152912028474718218934291796070768049691174931081411173535261890637540566004815577345849181700806085773109536936874062183759639878563701713368461457933489199846459852741040583452559584045782880273580626025054960393621104791150504239801793628083888753184213281222737899989531353595980039780856335275848832745925951774435565481383257144851170743622849565551174233171650905537913947726558955926998639075967477405171511323585860348256970373730676623512579823428830652196670970443521652650312314617719928813204452664270509823079875772062672296472066161845273406148584987961056635377045747984785567226157657814844540600900303590745716578846355166277000383850368147398541368601039885542799316048434937362599015947238022123739400495515929790278117039466796943155250026171616010049900547859161810377918135185120563911086296541857137872073140942876086122064417070872736155215130683602610182503402310081306487071221691035349129357574065673308441218550441427923369508322573891195868374219213455700177966988868339323725442300310569843319258819834595386816484628537530097358411557385630038036081934605855462888648497749241023135708552884112084307499040374079631503646578497400286143001709878912656593502460131904944690651498761210175524304707401333007642111874934570959974875248630352095474055204662037198590222284258645357155319817147642809784694838957322818159611962173290993474543741494224796733782321945772411627176606064835816728896953623896430191576229193565272010329064451966360749555082527829151690686394249223575391701852950413511532958788428656174756603971106535924904909795163485361342778378755626897442160728617789719789231252399064800921240883553756499284642495725302718358516243849670237638273371253096974561189238231496667480894720312663572600062811878424119761314861988344907003524444289353386607111700457130892975538262902606692954600970094566772516313640646264438008165544195135568970932058484837910458177757615940258924521059427016086819974177338870084098126112293680427120773284014376941061520745367623966221167603028928359563108490072233660187737725512091286596643054053110932756394598178455525700526921869002337997696897791115608751788393760686743204103709390375824405904316571867257563597026904421258331297763199218341068499842970303939700596712845029137732491188889276616533482220748857172767561154342743483267613497574763583068709215898384338904979586139512161077572669853787905223854555605960149352688697351432459782950064556652824789754684719265798932198066789964057647346198136580940084447080992427679101092228774819415849530655686219771783508392364867222668109013504553861185748682695327494155005757755522210978120529015598283141989740726524060438985239208570331856091007432738946854171755592001954147328750392574240150748508217887427155668772027776808458666294448127857068081097114143141291830966256063091042328226960254039152737551034651219597306068325365530236940363610985099626618278256621418850542624838608367938025613288201835502669504833025089855881634504658547649788882297518930802247269428062951460376173360784450570541229019087831943329727466238615347035628293261681264612485605611194472554698677461004292145025648183689848902536901978574170359772481418152632864570611019995114631678124018564399623128729455281432110828069930557978853334263879680357329797257214642146770422584359842272394179432599364902118156122413371951006734829186586174407649090972537250933454304358446452873643437903479080154935966779495411243326237917437275360295913738353630875527794256202672994381826429842621349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1φn25=(Yn26/Yn25)=(75025/46368)=1.61803^398895790200138026224982746721877156659765355417529330572808833678
1φn26=(Yn27/Yn26)=(121393/75025)=1.61^803398867044318560479840053315561479506831056314561812729090303232255914695101632789070309896701099633455514828390536487837387537487504165278240586471176274575141619460179940019993335554815061646117960679773408863712095968010663112295901366211262912362545818060646451182939020326557814061979340219926691102965678107297567477507497500833055648117294235254915028323892035988003998667110963012329223592135954681772742419193602132622459180273242252582472509163612129290236587804065311562812395868043985338220593135621459513495501499500166611129623458847050983005664778407197600799733422192602465844718427190936354548483838720426524491836054648450516494501832722425858047317560813062312562479173608797067644118627124291902699100299900033322225924691769410196601132955681439520159946684438520493168943685438187270909696767744085304898367210929690103298900366544485171609463512162612462512495834721759413528823725424858380539820059980006664445184938353882039320226591136287904031989336887704098633788737087637454181939353548817060979673442185938020659780073308897034321892702432522492502499166944351882705764745084971676107964011996001332889036987670776407864045318227257580806397867377540819726757747417527490836387870709763412195934688437187604131956014661779406864378540486504498500499833388870376541152949016994335221592802399200266577807397534155281572809063645451516161279573475508163945351549483505498167277574141952682439186937687437520826391202932355881372875708097300899700099966677774075308230589
1φn27=(Yn28/Yn27)=(196418/121393)=1.^6180339887802426828565073768668704126267577207911494072969611097839249380112527081462687304869308773982025322712182745298328569192622309358859242295684265155321970789089980476633743296565699834422083645679734416317250582817790152644715922664404043066733666685887983656388753882019556317085828672163963325727183610257593106686547000238893511157974512533671628512352442068323544191180710584630085754532798431540533638677683227204204525796380351420592620661817402980402494377764780506289489509279777252395113392040727224798793999654016294185002430123647986292455083901048660136910695015363324079642153995699916799156458774393910686777656042770176204558747209476658456418409628232270394503801701910324318535665153674429332828087286746352755101200233950886789188832964009456887958943266909953621708006227706704669956257774336246735808489781124117535607489723460166566441228077401497615183742060909607638002191230136828317942550229420147784468626691819132898931569365614162266358027233860272009094428838565650408178395788884037794601006647829776016739021195620834809255887901279315940787360061947558755447183939765884359065184977717001804057894606773042926692642903627062515960557857537090277034095870437339879564719547255607819231751418945079205555509790515103836300280905818292652788875800087319697181880339064031698697618478824973433394017776972313065827518884943942401950689084214081536826670401093967526957897078085227319532427734712874712709958564332375013386274332127882167835048149399059253828474458988574300000823770728130946594943695270732249800235598428245450726153896847429423442867381150478198907680014498364815104660071009036764887596484146532337119932780308584514757852594465908248416300775168255171220745842017249759047062021698120978969133310816933431087459738205662599985172126893642961291013485126819503595759228291581886929229856746270378028387139291392419661759739029433328116118721837338232023263285362417931841209954445478734358653299613651528506586046971406918026574843689504337152883609433822378555600405295198240425724712298073200266901715914426696761757267717248935276333890751526035273862578567133195489031492754936446088324697470200093909863006927911823581260863476477226858220819981382781544240606954272486881451154514675475521652813588921931248095030191197185999192704686431672336955178634682395195769113540319458288369181089519165025989966472531365070473585791602481197433130411143970410155445536398309622465875297587175537304457423409916552025240335109932203669074823095236133879218735841440610249355399405237534289456558450652014531315644229897934806784575716886476155956274249750809354740388655029532180603494435428731475455751155338446203652599408532617201980344830426795614244643430840328519766378621502063545673968021220333956653184285749590174062754854069015511602810705724382789781947888263738436318403861837173477877637096043429192787063504485431614673004209468420749137100162282833441796479203907968334253210646412890364353793052317678943596418244874086644205184812962856177868575
1φn28=(Yn29/Yn28)=(317811/196418)=1.6^180339887383030068527324379639340589966296367949984217332423708621409443126393711370648311254569336822490810414524127116659369304238919040006516714354081601482552515553564337280697288435886731358633119164231384089034609862639880255373743750572758097526703255302467187324990581311285116435357248317363989043773992200307507458583225569957946827683817165432903298068405135985500310562168436701320652893319349550448533230152022727041309859585170401897993055626266431793420154975613233003085256952010508201895956582390615931330122493865124377602867354315795904652323106843568308403506806911790161797798572432261808999175228339561547312364447250252013562911749432333085562422995855776965451231557189259640155179260556568135303281776619250781496604180879552790477451150098259833620136647354112148581087273060513802197354621266889999898176338217474976835116944475557229989104868189269822521357513058884623608834220896251871009785253897300654726145261635898950198047022167011170055697542995041187671191031371870195195959637100469407080817440356790110885967681169750226557647466118176541864798541885163274241668278874644889979533443981712470343858505839587003227810078506043234326792860124835809345375678400146626072966836033357431599955197588815688989807451455569245181195206142003278721909397305745909234387887057194350823244305511714812288079503915119795538087140689753484914824506918917818122575324053803622885886222240324206539115559673756987648789825779714690099685364885091997678420511358429471840666334042704843751590994715351953486951297742569418281420236434542659023103788858454927756111965298496064515472105407854677269903980286939078903155515278640450467879725890702481442637640134814528200063130670305165514362227494425154517406754981722652710036758341903491533362522783044323839973933142583673594069789937785742650877210846256453074565467523343074463643861560549440478978505024997708967609893186978790131250700037674754859534258571006730544043824904031198769970165667097720168212689264731338268386807726379456057998757751326253194717388426722601798205867079391909091834760561659318392408027777494934272826319380097547067987658972191957967192416173670437536274679510024539502489588530582736816381390707572625726766385972772352839352808805710270952764003299086641753810750542210998991945748353002270667657750308016576892138195073771242961439379282957773727458786872893522996874013583276481788838090195399606960665519453410583551405675650907757944791210581514932440000407294647130100092659532222097771080043580527242920709914569947764461505564663116414992515960858984410797381095418953456404199207811911331955319777209828019835249315235874512519219216161451598122371676730238572839556456129275320999093769410135527293832540805832459346903033326884501420440081866224073150118624565976641651987088759685975827062692828559500656762618497286399413495708132655866570273600179209644737244040770194177723019275219175431986885112362410777016363062448451771222596707022777953140750847681984339520817847651437240986060340701972324328727509698703784785508456455111038703173843537761304972049404840696881141239601258540459632009286317954566282112637334663829180624993636021138592186052194809029722326874319054261829363907584844566180288975552138806015741938111578368581290920384078852243684387377938885438198128481096437190074229449439460741887199747477318779337942551090022299381930372980073109389159852966632386033866549908867822704640104267429665305623720840248857029396491156614974187701738129906627702145424553757802238084085979900009164129560427252084839474997199849300980561862965715973077823824700383875204920119337331609119327149242941074646926452769094482175768004968994694987221130446293109592807176531682432363632660957753362726430367888890020262908694722479609811728049364111232168131230335305318249854901281959901841990041645877669052734474437169709497092934456108910588642588764777158916188943986803653432984756997831156004032217006587990917329368998767933692431447219704915028154242482868168905090164852508425908012503945666894072844647639218401572157337922186357665794377297396368968220835157673940270239998370821411479599629361871111608915679825677891028317160341720208942153977741347534340029936156564062356810475618324186174383203168752354672178720891160687920659002739056501949923123135354193607510513293079045708641774175482898716003624922359457890824669836776670162612387866692461994318239672535103707399525501736093433392051644961256096691749228685761997372949526010854402346017167469376533718905599283161421051023836919223289107922899123298272052459550550356891934547750206192915109613171908888187436996609272062641916728609394251036055758637192110702685089961205184860857966174179555845187304625848954780111802380637212475435041594965838161471962854728181734871549450661344683277500025455915445631255791220763881110692502723782952682544369660621735278844097791444775937032247553686525674836318463684591025262450488244458247207486075614251239703082202242157032451201010090724882648229795639910802472278508079707562443360588133470455864533800364528709181439582930281338777505116639004571882414035373540103249193047480373489191418301784968791047663656080399963343481758290991660642100011200602796077752548137136107688704701198464499180319522650673563522691403028235701412294188923622071296927980124021220051115478214827561628771293873270270545469356168986549094278528444439918948365221110081560753087802543555071327475078658778727000580394872160392632039833416489323789062102251321162011628262175564357645429644940891364335244224052785386268060972008675375983871131973648036330682524004928265230274211121
1φn29=(Yn30/Yn29)=(514229/317811)=1.^618033988754322537608830405492572629644663022991652271318488032195235533068395996362
1φn30=(Yn31/Yn30)=(832040/514229)=1.618033988748203621343798191078293911856390 extended shell factoring to divisor 514,229 potential digits long and less
1φn31=(Yn32/Yn31)=(1346296/832040)=1.6^180664391135041584539204845920869188981298976010768713042642
1φn32=(Yn33/Yn32)=(2178309/1346296)=1.618^001539037477642360966681918389418077451021172164219458425190299904330102741150534503556424441578969260846054656628260055738114055155775550101909238384426604550559460920926750135185724387504679505844182854290586914021879289547023834283099704671186722682084771848092841395948587829125244374194085104612952872176698140676344578012561873466161973295619982529844848384010648475520984983985691111018676427769227569568653550185100453392121791938771265754336342082276111642610540326941474980242086435672392995299696352065221912566033026912358054989393120086518863608002994883740277026745975624974002745310095253941183810989559502516534253982779418493407096210640156399484214466952289838193086810032860529928039599018343662909196788819100702965766815024333430389750842311051952913772305644523938272118464290170957946840813610082775258932656711451270745809242543987354935318830331516991805665321742024042261137223909155193211596855372072709121916725593777297117424399983361756998460962522357639033318081610581922548978827835780541574809700095669897258849465496443575558421030739153945343371739944261885944844224449898090761615573395449440539079073249864814275612495320494155817145709413085978120710452976165716900295328813277317915228151907158604051412170874755625805914895387047127823301859323655421987438126533838026704380017470155151615989351524479015016014308888981323572230772430431346449814899546607878208061228734245663657917723888357389459673058525019757913564327607004700303647934778087433966973087641945010606879913481136391997005116259722973254024375025997254689904746058816189010440497483465746017220581506592903789359843600515785533047710161806913189967139470071960400981656337090803211180899297034233184975666569610249157688948047086227694355476061727881535709829042053159186389917224741067343288548729254190757456012645064681169668483008194334678257975957738862776090844806788403144627927290878083274406222702882575600016638243
1φn33=(Yn34/Yn33)=(3524578/2178309)=1.618033988749989097047296779290725053240839568674600 extended shell factoring to divisor 2,178,309 potential digits long and less
1φn34=(Yn35/Yn34)=(5702887/3524578)=
1.6^180339887498588483500719802484155549969386405975410389555856048582269990903875584538063847643604425834809160132078223265310059814252940352008098558182000795556233966165594859866911726737215065179434247163773932652362921178081461099740167475368682435173799530043029264780067287488034028470926164777740767830928979299082046134317356574318968114764377465898045099299831071975141421185741952653622646455831024309860641472539407554606537293258937665729060330059371646761683242646353691136924760921733041515892115311393307227134709460253113989816653227705557941972060201249624777774814460057345872328545431538186982952285351608050665923693559909867223820837558425434193824054964878064834995849148465433308611697627347160426014121406874808842363539691843959759154145545934860854263971459845689327913866567855783018562789644604261843545525166417085960361779481118023207317301532268543922137628958700871423472540542442244149512367154308969754677013815554656472349313875306490592632649922912757215190017074384507875836483119397556246449929608594277102109812862702995933130150616612825705658946971807688750256059023236256936291380131181662031596406718761792191859564464171313558672839698823518730469293061467216784534205229675722880866872573113717443620200772971969977682434606355711236919710671745667140860551248972217383187434070121302465146182039381735912781615274225737095334533666158047857076790469667574387628816839916721945152015361839062718997848820482906038680375352737263865347851572585427248311712778097122549139216099062072111895381518014355193728156959499832320351542794626760990961187410237480912608544909489873681331495571952159946524094515712235620831770498482371506603059997537293826381484535169884167693267108856719868307638531478094682540718349827979406328927888672062300791754360380164660847341156870411152767792342799620266596454951486390711171663671509043068418403564909047267502662730119747669082653299203479111541864018898148941518672590023543244042265485399954264028204227569938869277400017817735910511839999001298878901247184769353948188974680089361052585586132580978488772272879192913307635694259000651992947808219877670461541778902325328025085556341780491168020682192307845081028140106418413778897785777474636679908913918205243294374532213501871713436331952364226298864715151714616615095480934171410024122036737447717145144752080958344516705262303742462218171934342210613582675713234321952869251297602152654871022857204465328898949037303189204494835977526955000002837219094030547770541608101735867386109769736972766668804038384169679320474678103307686764202693201852817557165708916074491754757590837825124029032695545395789226398167383442783788584051764494926768537963977531494550553286095526897120733318995919511498965266196407059228083475525296929164285766976926031995887167201293317951822884895723686637095277789284277436901665958307632857039906621445177266611775934594155669132588355258416752303396321488700207514204537394263937413216560961340620068558562188154156327367418170345499517956475924209933784980783515076131099950121688326942970193878529571483451352190248024018761962425005206297037546055158943850866685316653511427467345026837255410434951361553071034319569605212311942025399920217399075860996692369980179187409102593274996325801273230440637148617508252051734987848190620267163898770292500265279985291856216545640357512303600601263470406953683533177588919865016464382402659268712452951814373238441594993783652964979069834743336649096714557033494506292668228650351900284232608839980275652858299631899194740476732249931764880788565326118474325153252389364060037825804961615262876860719212342583991615450133320925228495439737750164700568408473298079940350305767101763672133231269105124074428201049884553555063897011216661966340367556059193469402578124246363678148135748449885347976410225564592413616608853598927304204928930498913628808895703258659618257845336377858569167713127642514933702701429788190245754243486737986788773010556157361250056035077107103318468196760009283380875667952305212141708879758087351166579374892540326813593003190736593146754022751092471212156462419047046199573395737021566837221363805822994979824535022348774803678624788556247017373427400386656218134483050169410352104564007379039419754648641624614350994643897794289131918771552225543029548501976690542811082631736338364479378807902676575748926538155773542251015582574708234574465368620016353730857992077349401829098405539613536712763911027078986477246354031603216044587465506508864323615479640399503146192253370474422753589224014903344457123661329100959036798164205757398474370548757893852824366491534589389141054617035003906850692480064280035794356090289390673152927811499702943160855001648424293631748254684674307108538951329776217181177434575146301202583685195787978021766010001764750276487000713276880239279709514160276776397060867996111874953540537335249780257381167334075171552452520557070945798333871459221501127227146058336629236180898819660112501411516499280197515844450030613594024589610444143951417730009096124415461936152356395574165190839867921776734689940185747059647991901441817999204443766033834405140133088273262784934820565752836226067347637078821918538900259832524631317564826200469956970735219932712511965971529073835222259232169071020700917953865682643425681031885235622534101954900700168928024858578814258047346377353544168975690139358527460592445393462706741062334270939669940628353238316757353646308863075239078266958484107884688606692772865290539746886010183346772294442058027939798750375222225185539942654127671454568461813017047714648391949334076306440090132776179162441574565806175945035121935165004150851534566691388302372652839573985878593125191157636460308156040240845854454065139145736028540154310672086133432144216981437210355395738156454474833582914039638220518881976792682698467731456077862371041299128576527459457557755850487632845691030245322986184445343527650686124693509407367350077087242784809982925615492124163516880602443753550070391405722897890187137297004066869849383387174294341053028192311249743940976763743063708619868818337968403593281238207808140435535828686441327160301176481269530706938532783215465794770324277119133127426886282556379799227028030022317565393644288763080289328254332859139448751027782616812565929878697534853817960618264087218384725774262904665466333841952142923209530332425612371183160083278054847984638160937281002151179517093961319624647262736134652148427414572751688287221902877450860783900937927888104618481985644806271843040500167679648457205373239009038812589762519087391455090510126318668504428047840053475905484287764379168229501517628493396940002462706173618515464830115832306732891143280131692361468521905317459281650172020593671072111327937699208245639619835339152658843129588847232207657200379733403545048513609288828336328490956931581596435090952732497337269880252330917346700796520888458135981101851058481327409976456755957734514600045735971795772430061130722599982182264089488160000998701121098752815230646051811025319910638947414413867419021511227727120807086692364305740999348007052191780122329538458221097674671974914443658219508831979317807692154918971859893581586221102214222525363320091086081794756705625467786498128286563668047635773701135284848285383384904519065828589975877963262552282854855247919041655483294737696257537781828065657789386417324286765678047130748702397847345128977142795534671101050962696810795505164022473044999997162780905969452229458391898264132613890230263027233331195961615830320679525321896692313235797306798147182442834291083925508245242409162174875970967304454604210773601832616557216211415948235505073231462036022468505449446713904473102879266681004080488501034733803592940771916524474703070835714233023073968004112832798706682048177115104276313362904722210715722563098334041692367142960093378554822733388224065405844330867411644741583247696603678511299792485795462605736062586783439038659379931441437811845843672632581829654500482043524075790066215019216484923868900049878311673057029806121470428516548647809751975981238037574994793702962453944841056149133314683346488572532654973162744589565048638446928965680430394787688057974600079782600924139003307630019820812590897406725003674198726769559362851382491747948265012151809379732836101229707499734720014708143783454359642487696399398736529593046316466822411080134983535617597340731287547048185626761558405006216347035020930165256663350903285442966505493707331771349648099715767391160019724347141700368100805259523267750068235119211434673881525674846747610635939962174195038384737123139280787657416008384549866679074771504560262249835299431591526701920059649694232898236327866768730894875925571798950115446444936102988783338033659632443940806530597421875753636321851864251550114652023589774435407586383391146401072695795071069501086371191104296741340381742154663622141430832286872357485066297298570211809754245756513262013211226989443842638749943964922892896681531803239990716619124332047694787858291120241912648833420625107459673186406996809263406853245977248907528787843537580952953800426604262978433162778636194177005020175464977651225196321375211443752982626572599613343781865516949830589647895435992620960580245351358375385649005356102205710868081228447774456970451498023309457188917368263661635520621192097323424251073461844226457748984417425291765425534631379983646269142007922650598170901594460386463287236088972921013522753645968396783955412534493491135676384520359600496853807746629525577246410775985096655542876338670899040963201835794242601525629451242106147175633508465410610858945382964996093149307519935719964205643909710609326847072188500297056839144998351575706368251745315325692891461048670223782818822565424853698797416314804212021978233989998235249723512999286723119760720290485839723223602939132003888125046459462664750219742618832665924828447547479442929054201666128540778498872772853941663370763819101
1φn35=(Yn36/Yn35)=(9227465/5702887)=1.6180339887499085989254214575880602228309977 extended shell factoring to divisor 5,702,887 potential digits long and less
1φn36=(Yn37/Yn36)=(14930352/9227465)=1.6180339887498895958965978196611962223644305342799999 extended shell factoring to divisor 9,227,465 potential digits long and less
1φn37=(Yn38/Yn37)=(24157817/14930352)=1.6180^33988749896854407719255379913346986059002493712137530314087705366892890402048123178877497328931025872665292820959613008454187818210849951829668851745759242648800242619865894655397273955764740174913491657798824836815635692982991961609478463736153039124596660547587893440154659448082670790347072862046387117999629211689047920638441746048586128444928826862219993205786440935886843123323549237151274129370827961725215855594027521923126795670992887508613326732015427365677647787540441109492930910135273434946476814478319064413216781493162384918989183912073874748565874401353698827730250432139845061924862856548861004750591278758866502276704527796799432458122889534017684244818876339955012447127837307519608378958513503231538010624263915545996504302108885309602881432400254193605080442845553808778252515412898503665553230091293226040484511014877613066322883747148091351094736413448256276878133884586244182320684736702791735921564340880911581990833169907849459945753455779207348895725968148641103706061317241549295019970058308069360990283417296524556152460437637371175173900789479042423112328497010653198263510465125001741419090454129949514921014588269586678197540151766013286223928277109608668301993147917745006949601724058481675448777095141494319758837567928740059176099799924342038285500569577997893150811179803396463794021735053533901946852961001857156482312004432313451149711674580746656207435698769861554503202603662659795294846363970521257636792488214611417065049772436711472040310904927090801342125088544462983859992048412522357142015138022198003101333444784155122397650102288278266982586880737975903046358183651664743068348288104660894800069013778107843673076160562055067422388969797898937680772697120603720528491223783605369786325198494985248840750707016150724376759503057931922837452191348201301617001394206914880506501119330609218054604472821538299967743560232203500627446693822088052579068464025496518769282867543913231248667144619229339000178964300372824431734764190422302166754005531818673799519261166782939879783142420218893700563791128300257087039876889707623772031630600537750215132235328410207609304857648366227400398865344902785949051971447156771655484076999658146037012389259141378582366979693445941529040976394930273579618216636821422562575885685749404970492323288828019593911784531268921188194357373489921737946968698393715030965110534567436856143780133248030588964011029344787048557194096964358241520360672005589687369728456502566048007441485639454448227342530169415965544549786903885454274621254743357691767749347101796394351586620328844222828771886958860715407111634072659505951366719284314261311454679702126245918381562604820033713873591191955822608870842428899198089904377338190017221295251444842023818326587343687543334544289377772205236688324561939330030531095315100407545649292126535261861207291027030039211399704440993755539052260790636416341691073324995954549497560405809588414258418019883255264175955128184519695182002406909093636908225606469291547848302571834877034379363594374734098700419119388477913983541714220803367529446057266432834269413072109753340041815491021243169618505980301067248782882011087213482977494435496229425803222857706234923329336106744167853510754468481386105297450455287323433499759416254888029431590092450599959063255842862914417556933687832678023934063979201562026133074424501177199305146991845872086605861670240594461537142593824981487375515326095459772147367992395624697930765463533612603373316315650160156974195919828280003043464748855217880998385034726575769948357547096009524758692896188917716072601637255437782042914996243892977205092016584739596226532368426410844164960075958021619316142044072370162471722033077317935973646167216955099250171730713381707276559856056977089354624726865113428002233303005850096501408674088862740811469146876108480228731378871710459338132148525366314203442758750764884846653314000902322999484539949225577534943583379681872202343253528115077260067277717229975555834182610028216347477942917889678689424067161979838117681351384079893092942483874459222394756667491831404912623627359890778194646716969566424153965023731523543450281681235646688035218459685344324098989762599033164120979867052029315852700592725476264725707739509423488475020548745267358733404276067972141581122802730973790838956777442353669893382285963519145429391082005300343890083770295569722669632973154283301559132698277977639107236051768906721020375139179571921680078272769456473631700042972864939821914446491281652301298723566597760052810543247741245484366343137790723219385584479187094852150840114151360932414721367587314753195370075668678139671455837076044824663209547906171267763814275778628661936436595734648453030444292271207001683550394525192708115655947026567089643968206509799634998558640814362581672555342298694632249795584189843615207464633117826023123902236196440646543363478637342240825936320858342790578547645762136083596689481935857908775359080616451641595589976713208101188773044332779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1φn38=(Yn39/Yn38)=(39088169/24157817)=1.^618033988749894081903178586045254006187727972274978322751596305245627119370926603177762295326601737234784086658161207198481551540853215338124301545955083607099101711052782625185048798076415596657595344811164021980959620647842476826445038473468029002786137505719163283669215641462968280619064214287242924308930728302147499502955916919148779047378328927651037343316244178851094037180594587664936778020961082700477447941591742333340798135858053730599913063336807295129357093813567674595763350637187126634827973073891568927771909191960515306494788001747012157596855709272075370055166822399557046069187460108667931378071122899887849965913724737628404089657604410199812342315532897695184958144189932393311862574337739208803510681449404141110929021442624555024984252509239555875433612234085554998615975938554381796997634347507475530591195388225682809005466015410250023832865361965445801663287705176341057637782420489401008377536761703261515723875216042906525866968857326802334830171120180271255469813352754514201345262280942023859192244067417184259653924855875843417474352090671106582188282989311492838943187623285663601144093441886740014629633132828185593093945533240855330595475576290688848251479014018526591206481943298105122660710609737626541338565483793506673222998584681720206755436552897142982745502211561582737380616799936848598530239714954376879334751149079405643316198644935508866550317853637189154963794948856512987079917030582688824904998659440130703862853170880464902933903340686784737213631513145413759860835107741730140600038488577010083320028461180908854471411882952834687008350133623414731554593695282980246104190622853050008616258662775696992820170796061581226482508746547753052355682634734752730348110510150813709699017920369212168467043193513718561573671991968479602275321482897233636631985414907315507854041613114297537728678050669892896365594623057207528312678252343744469957695266919192243239527809983824283460711702551600585433692125410172616176370571893975353816116745979158630103042837024553998401428407210800545430077560402084343962039285254954948950892375747361609701737536963708268839026307716462956897140167921629673740801993822537855966041964801703730101109715335619936188770698941878730184933514481047687380031068204548449058952636324714273644841336450226442231928489233940301807899281627971600248482716795147508568344565239483352324425671408968782237236088012422645638883678935062716966520609043441301008282329483661541106963431339843331042701416274492020533146682914271599954581988927227985873061295232098165161198133092903220518642061076959064637338713179257877481231023481964450678635408157947384070340461640221879319642167998871752360736899364706670308827987230799869044458777049267324112936197836087590199064758210561823529005124924988048382020610554339409061671425029836098187183055488829971681630008208109201257712979612354874614705459520618108829949328616902760708883588281176233763174876272967876195104880544463102771247915322812487568723614389495540925738447310864222541299985838952253011933983935717370489229221332374527052672019164645547236325202728375664075938649589075039354756267919406790770871391235391840247817093738229741536662853270227189816033460308106481641118483511982891500502715125294640653996178545437280197958284061842177213280488050720808092883558146003010122975929488993148677299774230428188109877643331762965171894463808546939485467581776946153702546881616000319896454220180573435091424030573623436256678324866853656520371853135570983090069769135183034129284115365225260212874366918169799862297160376701255746742348449779216391944686061658634139003536619223500202853593931935157882850093615660719675126274861673138760840849154540743478601564040326988154600227330143282400061230698121440360277586339858440023781950165447482278717485110513089820988378213147322044868540895065145993944734327609154419871629957292912683294190033809760211363468810116410766750985819621036122593361809140287800011068880934067842305453344563376732260203808978269849465289020113034219938001848428605945644840342982977311236358815036971262759379293253194193829682541266042374606943996636782205941869664796285194146474410332688586886803555139108802753162671941756989052446253732280528493116741467161540299771291420909430682416378930265098042592176271556324811964591005884347911071600550662338405825327677579476655527277154222999536754500623959524157335904978500333867087411085198633634818907685243248593198632144
1φn39=(Yn40/Yn39)=(63245986/39088169)
1φn40=(Yn41/Yn40)=(102334155/63245986)
1φn41=(Yn42/Yn41)=(165780141/102334155)
1φn42=(Yn43/Yn42)=(269114296/165780141)
1φn43=(Yn44/Yn43)=(434894437/269114296)
1φn44=(Yn45/Yn44)=(704008733/434894437)
1φn45=(Yn46/Yn45)=(1138903170/704008733)
1⅄1Y=(Y2/Y1) → 1φn
NOTE: forward progress past this phase of phi base radicals math is based on the same division properties of dividing the later by the previous. Numerals of the Y function past 1φn24 will continue to differ φ ratios from one another and in progression will extend the precision of the golden ratio to the extent of each ratio later provided than the previous. NOTE ALT PATH: variables Θ=2⅄(Y1/Y2)
2φ
Alternate Path of φn 3rd tier 2nd divide 1⅄2φn from Y base numeral ratios 1φn
Later φ divided by Previous φ of ordinal ratios from Y base
3rd tier 2nd divide 1⅄2φn ratios of Y fibonacci in decimal step order of previous two tiers value with cycle decimal key in bold with ^ repeat notation at start of decimal cycle for calculation variable change when factoring decimals of multiple cycle strain stem(s) factored. sets displayed are base slide scale examples of one two three or more cycles with the repeated decimal portion of the ratio variable repeated counted and numerated accurately to the number of ring cycle spins in the radical base ratio sets.
Variants ∈ next set of phi radical decimal stem path factoring to the degree of the variant decimal cycles per array.
Quadratic equations dependent of 4 phi base radicals decimal cycle limit or break in stem numeral factoring.
[(φn3/φn2)]/[(φn2/φn1)]→[(φn4/φn3)]/[(φn3/φn2)]→[(φn5/φn4)]/[(φn4/φn3)]→[(φn6/φn5)]/[(φn5/φn4)]→[(φn7/φn6)]/[(φn6/φn5)]→[(φn8/φn7)]/[(φn7/φn6)]→[(φn9/φn8)]/[(φn8/φn7)]→[(φn10/φn9)]/[(φn9/φn8)] or as explained further on this page in phi prime condensed matter ∈|φn2c1/φn1c1| where φ is phi number in phi scale n is number order radical in the phi scale and c is the number of decimal cycles used in the stem variable factoring.
[(φn2/φn1)] = [(Yn3/Yn2) / (Yn2/Yn1)] = [(2/1)/(1/0)] = (2/0)=0 . . . and so on →
∈1⅄2φn1=(1φn2/1φn1)
∈1⅄2φn2=(1φn3/1φn2)
∈1⅄2φn3=(1φn4/1φn3)
∈1⅄2φn4=(1φn5/1φn4)
∈1⅄2φn5=(1φn6/1φn5)
∈1⅄2φn6=(1φn7/1φn6)
∈1⅄2φn7=(1φn8/1φn7)
∈1⅄2φn8=(1φn9/1φn8)
∈1⅄2φn9=(1φn10/1φn9)
∈1⅄2φn10=(1φn11/1φn10)
∈1⅄2φn11=(1φn12/1φn11)
∈1⅄2φn12=(1φn13/1φn12)
∈1⅄2φn13=(1φn14/1φn13)
∈1⅄2φn14=(1φn15/1φn14)
∈1⅄2φn15=(1φn16/1φn15)
∈1⅄2φn16=(1φn17/1φn16)
∈1⅄2φn17=(1φn18/1φn17)
∈1⅄2φn18=(1φn19/1φn18)
∈1⅄2φn19=(1φn20/1φn19)
∈1⅄2φn20=(1φn21/1φn20)
∈1⅄2φn21=(1φn22/1φn21)
∈1⅄2φn22=(1φn23/1φn22)
∈1⅄2φn23=(1φn24/1φn23)
∈1⅄2φn24=(1φn25/1φn24)
∈1⅄2φn25=(1φn26/1φn25)
∈1⅄2φn26=(1φn27/1φn26)
∈1⅄2φn27=(1φn28/1φn27)
∈1⅄2φn28=(1φn29/1φn28)
∈1⅄2φn29=(1φn30/1φn29)
∈1⅄2φn30=(1φn31/1φn30)
∈1⅄2φn31=(1φn32/1φn31)
∈1⅄2φn32=(1φn33/1φn32)
∈1⅄2φn33=(1φn34/1φn33)
∈1⅄2φn34=(1φn35/1φn34)
∈1⅄2φn35=(1φn36/1φn35)
∈1⅄2φn36=(1φn37/1φn36)
∈1⅄2φn37=(1φn38/1φn37)
∈1⅄2φn38=(1φn39/1φn38)
∈1⅄2φn39=(1φn40/1φn39)
∈1⅄2φn40=(1φn41/1φn40)
∈1⅄2φn41=(1φn42/1φn41)
∈1⅄2φn42=(1φn43/1φn42)
∈1⅄2φn43=(1φn44/1φn43)
∈1⅄2φn44=(1φn45/1φn44)
and so on for variables of Y base to φ beyond ten digits example for path sets ∈1⅄2φncn=(1φncn/1φncn) dependent of cn.
Alternate Path of φn 3rd tier 2nd divide 2⅄2φn from Y base numeral ratios 1φn
Previous φ divided by later φ of ordinal ratios from Y base that differ ∈2⅄2φn from ∈1⅄2φn
∈2⅄2φn1=(1φn1/1φn2)
∈2⅄2φn2=(1φn2/1φn3)
∈2⅄2φn3=(1φn3/1φn4)
∈2⅄2φn4=(1φn4/1φn5)
∈2⅄2φn5=(1φn5/1φn6)
∈2⅄2φn6=(1φn6/1φn7)
∈2⅄2φn7=(1φn7/1φn8)
∈2⅄2φn8=(1φn8/1φn9)
∈2⅄2φn9=(1φn9/1φn10)
∈2⅄2φn10=(1φn10/1φn11)
∈2⅄2φn11=(1φn11/1φn12)
∈2⅄2φn12=(1φn12/1φn13)
∈2⅄2φn13=(1φn13/1φn14)
∈2⅄2φn14=(1φn14/1φn15)
∈2⅄2φn15=(1φn15/1φn16)
∈2⅄2φn16=(1φn16/1φn17)
∈2⅄2φn17=(1φn17/1φn18)
∈2⅄2φn18=(1φn18/1φn19)
∈2⅄2φn19=(1φn19/1φn20)
∈2⅄2φn20=(1φn20/1φn21)
∈2⅄2φn21=(1φn21/1φn22)
∈2⅄2φn22=(1φn22/1φn23)
∈2⅄2φn23=(1φn23/1φn24)
∈2⅄2φn24=(1φn24/1φn25)
∈2⅄2φn25=(1φn25/1φn26)
∈2⅄2φn26=(1φn26/1φn27)
∈2⅄2φn27=(1φn27/1φn28)
∈2⅄2φn28=(1φn28/1φn29)
∈2⅄2φn29=(1φn29/1φn30)
∈2⅄2φn30=(1φn30/1φn31)
∈2⅄2φn31=(1φn31/1φn32)
∈2⅄2φn32=(1φn32/1φn33)
∈2⅄2φn33=(1φn33/1φn34)
∈2⅄2φn34=(1φn34/1φn35)
∈2⅄2φn35=(1φn35/1φn36)
∈2⅄2φn36=(1φn36/1φn37)
∈2⅄2φn37=(1φn37/1φn38)
∈2⅄2φn38=(1φn38/1φn39)
∈2⅄2φn39=(1φn39/1φn40)
∈2⅄2φn40=(1φn40/1φn41)
∈2⅄2φn41=(1φn41/1φn42)
∈2⅄2φn42=(1φn42/1φn43)
∈2⅄2φn43=(1φn43/1φn44)
∈2⅄2φn44=(1φn44/1φn45)
and so on for variables of Y base to φ beyond ten digits example for path sets ∈2⅄2φncn=(1φncn/1φncn) dependent of cn.
Alternate Path of φn 3rd tier 2nd divide 3⅄2φn from Y base numeral ratios 1φn
φncn divided by φncn of ordinal ratios from Y base that differ from ∈2⅄2φn and ∈1⅄2φn sets for set ∈3⅄2φncn=(1φncn/1φncn) dependent of cn variable stem change with similar terms to a precise numerated and noted definition whether ∈3⅄2φncn=(1φnc1/1φnc2) or ∈3⅄2φncn=(1φnc2/1φnc1) or ∈3⅄2φncn=(1φnc3/1φnc1) or ∈3⅄2φncn=(1φnc1/1φnc3) or ∈3⅄2φncn=(1φnc3/1φnc2) or ∈3⅄2φncn=(1φnc2/1φnc3) and so on for ∈3⅄2φncn
∈3⅄2φn1=(1φn1cn/1φn1cn)
∈3⅄2φn2=(1φn2cn/1φn2cn)
∈3⅄2φn3=(1φn3cn/1φn3cn)
∈3⅄2φn4=(1φn4cn/1φn4cn)
∈3⅄2φn5=(1φn5cn/1φn5cn)
∈3⅄2φn6=(1φn6cn/1φn6cn)
∈3⅄2φn7=(1φn7cn/1φn7cn)
∈3⅄2φn8=(1φn8cn/1φn8cn)
∈3⅄2φn9=(1φn9cn/1φn9cn)
∈3⅄2φn10=(1φn10cn/1φn10cn)
∈3⅄2φn11=(1φn11cn/1φn11cn)
∈3⅄2φn12=(1φn12cn/1φn12cn)
∈3⅄2φn13=(1φn13cn/1φn13cn)
∈3⅄2φn14=(1φn14cn/1φn14cn)
∈3⅄2φn15=(1φn15cn/1φn15cn)
∈3⅄2φn16=(1φn16cn/1φn16cn)
∈3⅄2φn17=(1φn17cn/1φn17cn)
∈3⅄2φn18=(1φn18cn/1φn18cn)
∈3⅄2φn19=(1φn19cn/1φn29cn)
∈3⅄2φn20=(1φn20cn/1φn20cn)
∈3⅄2φn21=(1φn21cn/1φn21cn)
∈3⅄2φn22=(1φn22cn/1φn22cn)
∈3⅄2φn23=(1φn23cn/1φn23cn)
∈3⅄2φn24=(1φn24cn/1φn24cn)
∈3⅄2φn25=(1φn25cn/1φn25cn)
∈3⅄2φn26=(1φn26cn/1φn26cn)
∈3⅄2φn27=(1φn27cn/1φn27cn)
∈3⅄2φn28=(1φn28cn/1φn28cn)
∈3⅄2φn29=(1φn29cn/1φn29cn)
∈3⅄2φn30=(1φn30cn/1φn30cn)
∈3⅄2φn31=(1φn31cn/1φn31cn)
∈3⅄2φn32=(1φn32cn/1φn32cn)
∈3⅄2φn33=(1φn33cn/1φn33cn)
∈3⅄2φn34=(1φn34cn/1φn34cn)
∈3⅄2φn35=(1φn35cn/1φn35cn)
∈3⅄2φn36=(1φn36cn/1φn36cn)
∈3⅄2φn37=(1φn37cn/1φn37cn)
∈3⅄2φn38=(1φn38cn/1φn38cn)
∈3⅄2φn39=(1φn39cn/1φn39cn)
∈3⅄2φn40=(1φn40cn/1φn40cn)
∈3⅄2φn41=(1φn41cn/1φn41cn)
∈3⅄2φn42=(1φn42cn/1φn42cn)
∈3⅄2φn43=(1φn43cn/1φn43cn)
∈3⅄2φn44=(1φn44cn/1φn44cn)
∈3⅄2φn45=(1φn45cn/1φn45cn)
and so on for variables of Y base to φ beyond ten digits example for path sets ∈3⅄2φncn=(1φncn/1φncn) dependent of cn.
Noting, ∈3⅄2φncn further set tiers ∈3⅄3φncn then require a path definition to variables ⅄2φ being that ∈3⅄3φncn=(2φncn/2φncn) and explained is ordinal ratios from Y base that differ from ∈2⅄2φn and ∈1⅄2φn sets for set ∈3⅄2φncn
1Θ
1Θn=2⅄(Y1/Y2)
1st tier fibonacci 01 to 10 digit value for basic numerical display of decimal precision laws not applicable to standard definition floating point. 9 bold numbers are also prime numbers in the ten digit base logic that phi prime fibonacci scale bases share in common of the ten digit example shown below. 2 - 3- 5 - 13- 89 - 1597 - 28657 - 514229 - 434894437
0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 121393 196418 317811 514229 832040 1346296 2178309 3524578 5702887 9227465 14930352 24157817 39088169 63245986 102334155 165780141 269114296 434894437 704008733 1138903170
then
1Θn1=2⅄(Y1/Y2)=(0/1)=0
1Θn2=2⅄(Y2/Y3)=(1/1)=1
1Θn3=2⅄(Y3/Y4)=(1/2)=0.5
1Θn4=2⅄(Y4/Y5)=(2/3)=0.^6 so 1Θn4c2=0.^66 and so on for 1Θncn
1Θn5=2⅄(Y5/Y6)=(3/5)=0.6
1Θn6=2⅄(Y6/Y7)=(5/8)=0.625
1Θn7=2⅄(Y7/Y8)=(8/13)=0.^615384 so 1Θn7c2=0.^615384615384
1Θn8=2⅄(Y8/Y9)=(13/21)=0.^619047 so 1Θn8c2=0.^619047619047
1Θn9=2⅄(Y9/Y10)=(21/34)=0.6^1764705882352941
1Θn10=2⅄(Y10/Y11)=(34/55)=0.6^18
1Θn11=2⅄(Y11/Y12)=(55/89)=0.^6179775280878651685393258764044943820224719101123595505
1Θn12=2⅄(Y12/Y13)=(89/144)=0.6180^5
1Θn13=2⅄(Y13/Y14)=(144/233)=0.6180257553648064377682403433476394849785407725322060085836909871244635193133047210300429184^54935622317596566
1Θn14=2⅄(Y14/Y15)=(233/377)=0.610079575596814323607427055702917771827585941644562334217506631^294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257
1Θn15=2⅄(Y15/Y16)=(377/610)=0.6^18032786885245901639344262295081967213114754098360655737749
1Θn16=2⅄(Y16/Y17)=(610/987)=0.^618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870
1Θn17=2⅄(Y17/Y18)=(987/1597)=0.^6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129
1Θn18=2⅄(Y18/Y19)=(1597/2584)=0.618^034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743
1Θn19=2⅄(Y19/Y20)=(2584/4181)=0.^618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936
1Θn20=2⅄(Y20/Y21)=(4181/6765)=0.6^1803399852
1Θn21=2⅄(Y21/Y22)=(6765/10946)=0.6^180339850173579389731408733784030696144710396491869175954686643522748035812168828795907180705280467750776539375114196966928558377489493879042572629270966563128083318107071076192216334734149460990316097204458249588890919057189841037822035446738534624520372738900054814544125708021194957061940434862050063950301479992691394116572263840672391741275351726658139959802667641147451123698154577014434496619769778914672026310981
1Θn22=2⅄(Y22/Y23)=(10946/17711)=0.^618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793348766303427248602563378691208853255039241149568065044322737281915193947264411947377336118796228332674609000056462085709446106939190333690926542826492010614872113375868104567782733894190051380497995595957314663203658743153972107729659533623172039975156682287843712946756253175992321156343515329456270114
1Θn23=2⅄(Y23/Y24)=(17711/28657)=0.^618033988205325051470844819764804410789684893743238999197403775691803049865652371148410510520989636040060020239383047771923090344418466692256691209826569424573402659036186621069895662490839934396482534808249293366367728652685207802631119796210350001744774400669993369857277454025194542345674704260739086436123809191471542729525072408137627804724849077014342045573507345500226820672087099138081446069023275290504937711553896081236696095194891300554838259413057891614614230380011864465924555954915029486687371322887950587988973025787765641902502006490560770492375335869072128973723697525909899849949401542380570192274138953833269358271975433576438566493352409533447325260843772900164008793662979376766584080678368286980493422200509474124995638063998325016575356806364937013644135813239348152283909690477021321143176187318979655930488187877307464144886066231636249432948319782252154796384827441811773737655721115259796908259762012771748612904351467355270963464424049970338835188610112712426283281571692780123530027567435530585895243744983773598073769061660327319677565690756185225250375126496144048574519314652615416826604320061416058903583766618976166381686847890567749589978015842551558083539798304079282548766444498726314687510904840004187458561607984087657465889660466901629619290225773807446697142059531702550860173779530306731339637784834420909376417629200544369613009037931395470565655860697211850507729350594968070628467739121331611822591338939875074152912028474718218934291796070768049691174931081411173535261890637540566004815577345849181700806085773109536936874062183759639878563701713368461457933489199846459852741040583452559584045782880273580626025054960393621104791150504239801793628083888753184213281222737899989531353595980039780856335275848832745925951774435565481383257144851170743622849565551174233171650905537913947726558955926998639075967477405171511323585860348256970373730676623512579823428830652196670970443521652650312314617719928813204452664270509823079875772062672296472066161845273406148584987961056635377045747984785567226157657814844540600900303590745716578846355166277000383850368147398541368601039885542799316048434937362599015947238022123739400495515929790278117039466796943155250026171616010049900547859161810377918135185120563911086296541857137872073140942876086122064417070872736155215130683602610182503402310081306487071221691035349129357574065673308441218550441427923369508322573891195868374219213455700177966988868339323725442300310569843319258819834595386816484628537530097358411557385630038036081934605855462888648497749241023135708552884112084307499040374079631503646578497400286143001709878912656593502460131904944690651498761210175524304707401333007642111874934570959974875248630352095474055204662037198590222284258645357155319817147642809784694838957322818159611962173290993474543741494224796733782321945772411627176606064835816728896953623896430191576229193565272010329064451966360749555082527829151690686394249223575391701852950413511532958788428656174756603971106535924904909795163485361342778378755626897442160728617789719789231252399064800921240883553756499284642495725302718358516243849670237638273371253096974561189238231496667480894720312663572600062811878424119761314861988344907003524444289353386607111700457130892975538262902606692954600970094566772516313640646264438008165544195135568970932058484837910458177757615940258924521059427016086819974177338870084098126112293680427120773284014376941061520745367623966221167603028928359563108490072233660187737725512091286596643054053110932756394598178455525700526921869002337997696897791115608751788393760686743204103709390375824405904316571867257563597026904421258331297763199218341068499842970303939700596712845029137732491188889276616533482220748857172767561154342743483267613497574763583068709215898384338904979586139512161077572669853787905223854555605960149352688697351432459782950064556652824789754684719265798932198066789964057647346198136580940084447080992427679101092228774819415849530655686219771783508392364867222668109013504553861185748682695327494155005757755522210978120529015598283141989740726524060438985239208570331856091007432738946854171755592001954147328750392574240150748508217887427155668772027776808458666294448127857068081097114143141291830966256063091042328226960254039152737551034651219597306068325365530236940363610985099626618278256621418850542624838608367938025613288201835502669504833025089855881634504658547649788882297518930802247269428062951460376173360784450570541229019087831943329727466238615347035628293261681264612485605611194472554698677461004292145025648183689848902536901978574170359772481418152632864570611019995114631678124018564399623128729455281432110828069930557978853334263879680357329797257214642146770422584359842272394179432599364902118156122413371951006734829186586174407649090972537250933454304358446452873643437903479080154935966779495411243326237917437275360295913738353630875527794256202672994381826429842621349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1Θn24=2⅄(Y24/Y25)=(28657/46368)=0.61803^398895790200138026224982746721877156659765355417529330572808833678
1Θn25=2⅄(Y25/Y26)=(46368/75025)=0.61^803398867044318560479840053315561479506831056314561812729090303232255914695101632789070309896701099633455514828390536487837387537487504165278240586471176274575141619460179940019993335554815061646117960679773408863712095968010663112295901366211262912362545818060646451182939020326557814061979340219926691102965678107297567477507497500833055648117294235254915028323892035988003998667110963012329223592135954681772742419193602132622459180273242252582472509163612129290236587804065311562812395868043985338220593135621459513495501499500166611129623458847050983005664778407197600799733422192602465844718427190936354548483838720426524491836054648450516494501832722425858047317560813062312562479173608797067644118627124291902699100299900033322225924691769410196601132955681439520159946684438520493168943685438187270909696767744085304898367210929690103298900366544485171609463512162612462512495834721759413528823725424858380539820059980006664445184938353882039320226591136287904031989336887704098633788737087637454181939353548817060979673442185938020659780073308897034321892702432522492502499166944351882705764745084971676107964011996001332889036987670776407864045318227257580806397867377540819726757747417527490836387870709763412195934688437187604131956014661779406864378540486504498500499833388870376541152949016994335221592802399200266577807397534155281572809063645451516161279573475508163945351549483505498167277574141952682439186937687437520826391202932355881372875708097300899700099966677774075308230589
1Θn26=2⅄(Y26/Y27)=(75025/121393)=0.^6180339887802426828565073768668704126267577207911494072969611097839249380112527081462687304869308773982025322712182745298328569192622309358859242295684265155321970789089980476633743296565699834422083645679734416317250582817790152644715922664404043066733666685887983656388753882019556317085828672163963325727183610257593106686547000238893511157974512533671628512352442068323544191180710584630085754532798431540533638677683227204204525796380351420592620661817402980402494377764780506289489509279777252395113392040727224798793999654016294185002430123647986292455083901048660136910695015363324079642153995699916799156458774393910686777656042770176204558747209476658456418409628232270394503801701910324318535665153674429332828087286746352755101200233950886789188832964009456887958943266909953621708006227706704669956257774336246735808489781124117535607489723460166566441228077401497615183742060909607638002191230136828317942550229420147784468626691819132898931569365614162266358027233860272009094428838565650408178395788884037794601006647829776016739021195620834809255887901279315940787360061947558755447183939765884359065184977717001804057894606773042926692642903627062515960557857537090277034095870437339879564719547255607819231751418945079205555509790515103836300280905818292652788875800087319697181880339064031698697618478824973433394017776972313065827518884943942401950689084214081536826670401093967526957897078085227319532427734712874712709958564332375013386274332127882167835048149399059253828474458988574300000823770728130946594943695270732249800235598428245450726153896847429423442867381150478198907680014498364815104660071009036764887596484146532337119932780308584514757852594465908248416300775168255171220745842017249759047062021698120978969133310816933431087459738205662599985172126893642961291013485126819503595759228291581886929229856746270378028387139291392419661759739029433328116118721837338232023263285362417931841209954445478734358653299613651528506586046971406918026574843689504337152883609433822378555600405295198240425724712298073200266901715914426696761757267717248935276333890751526035273862578567133195489031492754936446088324697470200093909863006927911823581260863476477226858220819981382781544240606954272486881451154514675475521652813588921931248095030191197185999192704686431672336955178634682395195769113540319458288369181089519165025989966472531365070473585791602481197433130411143970410155445536398309622465875297587175537304457423409916552025240335109932203669074823095236133879218735841440610249355399405237534289456558450652014531315644229897934806784575716886476155956274249750809354740388655029532180603494435428731475455751155338446203652599408532617201980344830426795614244643430840328519766378621502063545673968021220333956653184285749590174062754854069015511602810705724382789781947888263738436318403861837173477877637096043429192787063504485431614673004209468420749137100162282833441796479203907968334253210646412890364353793052317678943596418244874086644205184812962856177868575
1Θn27=2⅄(Y27/Y28)=(121393/196418)
1Θn28=2⅄(Y28/Y29)=(196418/317811)
1Θn29=2⅄(Y29/Y30)=(317811/514229)
1Θn30=2⅄(Y30/Y31)=(514229/832040)
1Θn31=2⅄(Y31/Y32)=(832040/1346296)
1Θn32=2⅄(Y32/Y33)=(1346296/2178309)
1Θn33=2⅄(Y33/Y34)=(2178309/3524578)
1Θn34=2⅄(Y34/Y35)=(3524578/5702887)
1Θn35=2⅄(Y35/Y36)=(5702887/9227465)
1Θn36=2⅄(Y36/Y37)=(9227465/14930352)
1Θn37=2⅄(Y37/Y38)=(14930352/24157817)
1Θn38=2⅄(Y38/Y39)=(24157817/39088169)
1Θn39=2⅄(Y39/Y40)=(39088169/63245986)
1Θn40=2⅄(Y40/Y41)=(63245986/102334155)
1Θn41=2⅄(Y41/Y42)=(102334155/165780141)
1Θn42=2⅄(Y42/Y43)=(165780141/269114296)
1Θn43=2⅄(Y43/Y44)=(269114296/434894437)
1Θn44=2⅄(Y44/Y45)=(434894437/704008733)
1Θn45=2⅄(Y45/Y46)=(704008733/1138903170)
And so on for 1Θn45 1Θn46 . . . of ∈1Θn
Similar decimal cycle stem variants from different functions of y base minus or plus 1
1φn8 : 1Θn7 variables of Y base are 1.^615384 : 0.^615384 or 1.615384 : 0.615384
1φn9 : 1Θn8 variables of Y base are 1.^619047 : 0.^619047 or 1.619047 : 0.619047
Significant whole number one variable difference from alternate stem paths 1⅄ and 2⅄ of Y between 1φn : 1Θn
Now from 1Θn paths 2Θn are factorable in 1⅄ 2⅄ 3⅄
Examples
1⅄2Θn=(1Θn2/1Θn1) and of cn variable paths in later divided by previous division functions
2⅄2Θn=(1Θn1/1Θn2) and of cn variable paths in previous divided by later division functions
3⅄2Θn=(1Θncn/1Θncn) and of cn variable cn variable change division functions
Ψ
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
1ᐱ
ᐱ for ∈(⅄ᐱ) voss variables of sequential sets complex potential change notation
∈1ᐱ is a ratio of divided variables of A through Z φ Θ Ψ using the later divided by previous path 1⅄ for ᐱ
∈(ᐱ)=∈1(⅄ᐱ) and ∈2(⅄ᐱ) and and ∈3(⅄ᐱ)of variables ⅄A through ⅄Z, ⅄φ, ⅄Θ, ⅄Q, ⅄Y, ⅄P and whole numbers or a variable factors noted that ∈(ᐱ) is applicable with in quanta such that 1⅄, 2⅄, and 3⅄ paths differ variables of nᐱncn
∈(ᐱ)=sets like
∈(A/A) then
Example
if ∈(ᐱ) of A/A=∈(A/A)
then ᐱ of A/A needs a definition of the path of variables of A.
as ∈(ᐱ) of 1⅄(A/A) and ∈(ᐱ) of 2⅄(A/A) and ∈(ᐱ) of 3⅄(A/A) differ in path of Nn/Nn
∈(ᐱ) of 1⅄(A/A)=(An2/An1)=(1⅄(φn2/1⅄Qn1)n2 /1⅄(φn2/1⅄Qn1)n1) of set ∈A=1⅄(φn2/1⅄Qn1)cn
and
∈(ᐱ) of 1⅄(A/A)=(An2/An1)=(1⅄(φn2/2⅄Qn1)n2 /1⅄(φn2/2⅄Qn1)n1) of set A=∈1⅄(φn2/2⅄Qn1)cn
and the defined path of Q in the base of A is essential to the definition of an ∈(ᐱ) of 1⅄(A/A)ncn
then as 2⅄(A/A) would differ in path of its set ∈(ᐱ)
∈(ᐱ) of 2⅄(A/A)=(An1/An2) dependent again on the path of Q to the A
and so on for
∈(ᐱ) of 3⅄(A/A)=(Ancn/Ancn) that is division path of like terms with a difference in variant stem decimal cycle of Nncn
∈(ᐱ)=sets like ∈(A/A) that ∈1⅄ᐱ(An2/An1) and ∈2⅄ᐱ(An1/An2) ∈3⅄ᐱ(An1cn/An1cn) for all variables 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 that provide variables for factoring complex ᗑ variables.
∈n⅄ᐱ(An/An), ∈n⅄ᐱ(An/Bn), ∈n⅄ᐱ(An/Dn), ∈n⅄ᐱ(An/En), ∈n⅄ᐱ(An/Fn), ∈n⅄ᐱ(An/Gn), ∈n⅄ᐱ(An/Hn), ∈n⅄ᐱ(An/In), ∈n⅄ᐱ(An/Jn), ∈n⅄ᐱ(An/Kn), ∈n⅄ᐱ(An/Ln), ∈n⅄ᐱ(An/Mn), ∈n⅄ᐱ(An/Nn), ∈n⅄ᐱ(An/On), ∈n⅄ᐱ(An/Pn), ∈n⅄ᐱ(An/Qn), ∈n⅄ᐱ(An/Rn), ∈n⅄ᐱ(An/Sn), ∈n⅄ᐱ(An/Tn),∈n⅄ᐱ(An/Un), ∈n⅄ᐱ(An/Vn), ∈n⅄ᐱ(An/Wn), ∈n⅄ᐱ(An/Yn), ∈n⅄ᐱ(An/Zn), ∈n⅄ᐱ(An/φn), ∈n⅄ᐱ(An/Θn)
∈n⅄ᐱ(Bn/An), ∈n⅄ᐱ(Bn/Bn), ∈n⅄ᐱ(Bn/Dn), ∈n⅄ᐱ(Bn/En), ∈n⅄ᐱ(Bn/Fn), ∈n⅄ᐱ(Bn/Gn), ∈n⅄ᐱ(Bn/Hn), ∈n⅄ᐱ(Bn/In), ∈n⅄ᐱ(Bn/Jn), ∈n⅄ᐱ(Bn/Kn), ∈n⅄ᐱ(Bn/Ln), ∈n⅄ᐱ(Bn/Mn), ∈n⅄ᐱ(Bn/Nn), ∈n⅄ᐱ(Bn/On), ∈n⅄ᐱ(Bn/Pn), ∈n⅄ᐱ(Bn/Qn), ∈n⅄ᐱ(Bn/Rn), ∈n⅄ᐱ(Bn/Sn), ∈n⅄ᐱ(Bn/Tn),∈n⅄ᐱ(Bn/Un), ∈n⅄ᐱ(Bn/Vn), ∈n⅄ᐱ(Bn/Wn), ∈n⅄ᐱ(Bn/Yn), ∈n⅄ᐱ(Bn/Zn), ∈n⅄ᐱ(Bn/φn), ∈n⅄ᐱ(Bn/Θn)
∈n⅄ᐱ(Dn/An), ∈n⅄ᐱ(Dn/Bn), ∈n⅄ᐱ(Dn/Dn), ∈n⅄ᐱ(Dn/En), ∈n⅄ᐱ(Dn/Fn), ∈n⅄ᐱ(Dn/Gn), ∈n⅄ᐱ(Dn/Hn), ∈n⅄ᐱ(Dn/In), ∈n⅄ᐱ(Dn/Jn), ∈n⅄ᐱ(Dn/Kn), ∈n⅄ᐱ(Dn/Ln), ∈n⅄ᐱ(Dn/Mn), ∈n⅄ᐱ(Dn/Nn), ∈n⅄ᐱ(Dn/On), ∈n⅄ᐱ(Dn/Pn), ∈n⅄ᐱ(Dn/Qn), ∈n⅄ᐱ(Dn/Rn), ∈n⅄ᐱ(Dn/Sn), ∈n⅄ᐱ(Dn/Tn),∈n⅄ᐱ(Dn/Un), ∈n⅄ᐱ(Dn/Vn), ∈n⅄ᐱ(Dn/Wn), ∈n⅄ᐱ(Dn/Yn), ∈n⅄ᐱ(Dn/Zn), ∈n⅄ᐱ(Dn/φn), ∈n⅄ᐱ(Dn/Θn)
∈n⅄ᐱ(En/An), ∈n⅄ᐱ(En/Bn), ∈n⅄ᐱ(En/Dn), ∈n⅄ᐱ(En/En), ∈n⅄ᐱ(En/Fn), ∈n⅄ᐱ(En/Gn), ∈n⅄ᐱ(En/Hn), ∈n⅄ᐱ(En/In), ∈n⅄ᐱ(En/Jn), ∈n⅄ᐱ(En/Kn), ∈n⅄ᐱ(En/Ln), ∈n⅄ᐱ(En/Mn), ∈n⅄ᐱ(En/Nn), ∈n⅄ᐱ(En/On), ∈n⅄ᐱ(En/Pn), ∈n⅄ᐱ(En/Qn), ∈n⅄ᐱ(En/Rn), ∈n⅄ᐱ(En/Sn), ∈n⅄ᐱ(En/Tn),∈n⅄ᐱ(En/Un), ∈n⅄ᐱ(En/Vn), ∈n⅄ᐱ(En/Wn), ∈n⅄ᐱ(En/Yn), ∈n⅄ᐱ(En/Zn), ∈n⅄ᐱ(En/φn), ∈n⅄ᐱ(En/Θn)
∈n⅄ᐱ(Fn/An), ∈n⅄ᐱ(Fn/Bn), ∈n⅄ᐱ(Fn/Dn), ∈n⅄ᐱ(Fn/En), ∈n⅄ᐱ(Fn/Fn), ∈n⅄ᐱ(Fn/Gn), ∈n⅄ᐱ(Fn/Hn), ∈n⅄ᐱ(Fn/In), ∈n⅄ᐱ(Fn/Jn), ∈n⅄ᐱ(Fn/Kn), ∈n⅄ᐱ(Fn/Ln), ∈n⅄ᐱ(Fn/Mn), ∈n⅄ᐱ(Fn/Nn), ∈n⅄ᐱ(Fn/On), ∈n⅄ᐱ(Fn/Pn), ∈n⅄ᐱ(Fn/Qn), ∈n⅄ᐱ(Fn/Rn), ∈n⅄ᐱ(Fn/Sn), ∈n⅄ᐱ(Fn/Tn),∈n⅄ᐱ(Fn/Un), ∈n⅄ᐱ(Fn/Vn), ∈n⅄ᐱ(Fn/Wn), ∈n⅄ᐱ(Fn/Yn), ∈n⅄ᐱ(Fn/Zn), ∈n⅄ᐱ(Fn/φn), ∈n⅄ᐱ(Fn/Θn)
∈n⅄ᐱ(Gn/An), ∈n⅄ᐱ(Gn/Bn), ∈n⅄ᐱ(Gn/Dn), ∈n⅄ᐱ(Gn/En), ∈n⅄ᐱ(Gn/Fn), ∈n⅄ᐱ(Gn/Gn), ∈n⅄ᐱ(Gn/Hn), ∈n⅄ᐱ(Gn/In), ∈n⅄ᐱ(Gn/Jn), ∈n⅄ᐱ(Gn/Kn), ∈n⅄ᐱ(Gn/Ln), ∈n⅄ᐱ(Gn/Mn), ∈n⅄ᐱ(Gn/Nn), ∈n⅄ᐱ(Gn/On), ∈n⅄ᐱ(Gn/Pn), ∈n⅄ᐱ(Gn/Qn), ∈n⅄ᐱ(Gn/Rn), ∈n⅄ᐱ(Gn/Sn), ∈n⅄ᐱ(Gn/Tn),∈n⅄ᐱ(Gn/Un), ∈n⅄ᐱ(Gn/Vn), ∈n⅄ᐱ(Gn/Wn), ∈n⅄ᐱ(Gn/Yn), ∈n⅄ᐱ(Gn/Zn), ∈n⅄ᐱ(Gn/φn), ∈n⅄ᐱ(Gn/Θn)
∈n⅄ᐱ(Hn/An), ∈n⅄ᐱ(Hn/Bn), ∈n⅄ᐱ(Hn/Dn), ∈n⅄ᐱ(Hn/En), ∈n⅄ᐱ(Hn/Fn), ∈n⅄ᐱ(Hn/Gn), ∈n⅄ᐱ(Hn/Hn), ∈n⅄ᐱ(Hn/In), ∈n⅄ᐱ(Hn/Jn), ∈n⅄ᐱ(Hn/Kn), ∈n⅄ᐱ(Hn/Ln), ∈n⅄ᐱ(Hn/Mn), ∈n⅄ᐱ(Hn/Nn), ∈n⅄ᐱ(Hn/On), ∈n⅄ᐱ(Hn/Pn), ∈n⅄ᐱ(Hn/Qn), ∈n⅄ᐱ(Hn/Rn), ∈n⅄ᐱ(Hn/Sn), ∈n⅄ᐱ(Hn/Tn),∈n⅄ᐱ(Hn/Un), ∈n⅄ᐱ(Hn/Vn), ∈n⅄ᐱ(Hn/Wn), ∈n⅄ᐱ(Hn/Yn), ∈n⅄ᐱ(Hn/Zn), ∈n⅄ᐱ(Hn/φn), ∈n⅄ᐱ(Hn/Θn)
∈n⅄ᐱ(In/An), ∈n⅄ᐱ(In/Bn), ∈n⅄ᐱ(In/Dn), ∈n⅄ᐱ(In/En), ∈n⅄ᐱ(In/Fn), ∈n⅄ᐱ(In/Gn), ∈n⅄ᐱ(In/Hn), ∈n⅄ᐱ(In/In), ∈n⅄ᐱ(In/Jn), ∈n⅄ᐱ(In/Kn), ∈n⅄ᐱ(In/Ln), ∈n⅄ᐱ(In/Mn), ∈n⅄ᐱ(In/Nn), ∈n⅄ᐱ(In/On), ∈n⅄ᐱ(In/Pn), ∈n⅄ᐱ(In/Qn), ∈n⅄ᐱ(In/Rn), ∈n⅄ᐱ(In/Sn), ∈n⅄ᐱ(In/Tn),∈n⅄ᐱ(In/Un), ∈n⅄ᐱ(In/Vn), ∈n⅄ᐱ(In/Wn), ∈n⅄ᐱ(In/Yn), ∈n⅄ᐱ(In/Zn), ∈n⅄ᐱ(In/φn), ∈n⅄ᐱ(In/Θn)
∈n⅄ᐱ(Jn/An), ∈n⅄ᐱ(Jn/Bn), ∈n⅄ᐱ(Jn/Dn), ∈n⅄ᐱ(Jn/En), ∈n⅄ᐱ(Jn/Fn), ∈n⅄ᐱ(Jn/Gn), ∈n⅄ᐱ(Jn/Hn), ∈n⅄ᐱ(Jn/In), ∈n⅄ᐱ(Jn/Jn), ∈n⅄ᐱ(Jn/Kn), ∈n⅄ᐱ(Jn/Ln), ∈n⅄ᐱ(Jn/Mn), ∈n⅄ᐱ(Jn/Nn), ∈n⅄ᐱ(Jn/On), ∈n⅄ᐱ(Jn/Pn), ∈n⅄ᐱ(Jn/Qn), ∈n⅄ᐱ(Jn/Rn), ∈n⅄ᐱ(Jn/Sn), ∈n⅄ᐱ(Jn/Tn),∈n⅄ᐱ(Jn/Un), ∈n⅄ᐱ(Jn/Vn), ∈n⅄ᐱ(Jn/Wn), ∈n⅄ᐱ(Jn/Yn), ∈n⅄ᐱ(Jn/Zn), ∈n⅄ᐱ(Jn/φn), ∈n⅄ᐱ(Jn/Θn)
∈n⅄ᐱ(Kn/An), ∈n⅄ᐱ(Kn/Bn), ∈n⅄ᐱ(Kn/Dn), ∈n⅄ᐱ(Kn/En), ∈n⅄ᐱ(Kn/Fn), ∈n⅄ᐱ(Kn/Gn), ∈n⅄ᐱ(Kn/Hn), ∈n⅄ᐱ(Kn/In), ∈n⅄ᐱ(Kn/Jn), ∈n⅄ᐱ(Kn/Kn), ∈n⅄ᐱ(Kn/Ln), ∈n⅄ᐱ(Kn/Mn), ∈n⅄ᐱ(Kn/Nn), ∈n⅄ᐱ(Kn/On), ∈n⅄ᐱ(Kn/Pn), ∈n⅄ᐱ(Kn/Qn), ∈n⅄ᐱ(Kn/Rn), ∈n⅄ᐱ(Kn/Sn), ∈n⅄ᐱ(Kn/Tn),∈n⅄ᐱ(Kn/Un), ∈n⅄ᐱ(Kn/Vn), ∈n⅄ᐱ(Kn/Wn), ∈n⅄ᐱ(Kn/Yn), ∈n⅄ᐱ(Kn/Zn), ∈n⅄ᐱ(Kn/φn), ∈n⅄ᐱ(Kn/Θn)
∈n⅄ᐱ(Ln/An), ∈n⅄ᐱ(Ln/Bn), ∈n⅄ᐱ(Ln/Dn), ∈n⅄ᐱ(Ln/En), ∈n⅄ᐱ(Ln/Fn), ∈n⅄ᐱ(Ln/Gn), ∈n⅄ᐱ(Ln/Hn), ∈n⅄ᐱ(Ln/In), ∈n⅄ᐱ(Ln/Jn), ∈n⅄ᐱ(Ln/Kn), ∈n⅄ᐱ(Ln/Ln), ∈n⅄ᐱ(Ln/Mn), ∈n⅄ᐱ(Ln/Nn), ∈n⅄ᐱ(Ln/On), ∈n⅄ᐱ(Ln/Pn), ∈n⅄ᐱ(Ln/Qn), ∈n⅄ᐱ(Ln/Rn), ∈n⅄ᐱ(Ln/Sn), ∈n⅄ᐱ(Ln/Tn),∈n⅄ᐱ(Ln/Un), ∈n⅄ᐱ(Ln/Vn), ∈n⅄ᐱ(Ln/Wn), ∈n⅄ᐱ(Ln/Yn), ∈n⅄ᐱ(Ln/Zn), ∈n⅄ᐱ(Ln/φn), ∈n⅄ᐱ(Ln/Θn)
∈n⅄ᐱ(Mn/An), ∈n⅄ᐱ(Mn/Bn), ∈n⅄ᐱ(Mn/Dn), ∈n⅄ᐱ(Mn/En), ∈n⅄ᐱ(Mn/Fn), ∈n⅄ᐱ(Mn/Gn), ∈n⅄ᐱ(Mn/Hn), ∈n⅄ᐱ(Mn/In), ∈n⅄ᐱ(Mn/Jn), ∈n⅄ᐱ(Mn/Kn), ∈n⅄ᐱ(Mn/Ln), ∈n⅄ᐱ(Mn/Mn), ∈n⅄ᐱ(Mn/Nn), ∈n⅄ᐱ(Mn/On), ∈n⅄ᐱ(Mn/Pn), ∈n⅄ᐱ(Mn/Qn), ∈n⅄ᐱ(Mn/Rn), ∈n⅄ᐱ(Mn/Sn), ∈n⅄ᐱ(Mn/Tn),∈n⅄ᐱ(Mn/Un), ∈n⅄ᐱ(Mn/Vn), ∈n⅄ᐱ(Mn/Wn), ∈n⅄ᐱ(Mn/Yn), ∈n⅄ᐱ(Mn/Zn), ∈n⅄ᐱ(Mn/φn), ∈n⅄ᐱ(Mn/Θn)
∈n⅄ᐱ(Nn/An), ∈n⅄ᐱ(Nn/Bn), ∈n⅄ᐱ(Nn/Dn), ∈n⅄ᐱ(Nn/En), ∈n⅄ᐱ(Nn/Fn), ∈n⅄ᐱ(Nn/Gn), ∈n⅄ᐱ(Nn/Hn), ∈n⅄ᐱ(Nn/In), ∈n⅄ᐱ(Nn/Jn), ∈n⅄ᐱ(Nn/Kn), ∈n⅄ᐱ(Nn/Ln), ∈n⅄ᐱ(Nn/Mn), ∈n⅄ᐱ(Nn/Nn), ∈n⅄ᐱ(Nn/On), ∈n⅄ᐱ(Nn/Pn), ∈n⅄ᐱ(Nn/Qn), ∈n⅄ᐱ(Nn/Rn), ∈n⅄ᐱ(Nn/Sn), ∈n⅄ᐱ(Nn/Tn),∈n⅄ᐱ(Nn/Un), ∈n⅄ᐱ(Nn/Vn), ∈n⅄ᐱ(Nn/Wn), ∈n⅄ᐱ(Nn/Yn), ∈n⅄ᐱ(Nn/Zn), ∈n⅄ᐱ(Nn/φn), ∈n⅄ᐱ(Nn/Θn)
∈n⅄ᐱ(On/An), ∈n⅄ᐱ(On/Bn), ∈n⅄ᐱ(On/Dn), ∈n⅄ᐱ(On/En), ∈n⅄ᐱ(On/Fn), ∈n⅄ᐱ(On/Gn), ∈n⅄ᐱ(On/Hn), ∈n⅄ᐱ(On/In), ∈n⅄ᐱ(On/Jn), ∈n⅄ᐱ(On/Kn), ∈n⅄ᐱ(On/Ln), ∈n⅄ᐱ(On/Mn), ∈n⅄ᐱ(On/Nn), ∈n⅄ᐱ(On/On), ∈n⅄ᐱ(On/Pn), ∈n⅄ᐱ(On/Qn), ∈n⅄ᐱ(On/Rn), ∈n⅄ᐱ(On/Sn), ∈n⅄ᐱ(On/Tn),∈n⅄ᐱ(On/Un), ∈n⅄ᐱ(On/Vn), ∈n⅄ᐱ(On/Wn), ∈n⅄ᐱ(On/Yn), ∈n⅄ᐱ(On/Zn), ∈n⅄ᐱ(On/φn), ∈n⅄ᐱ(On/Θn)
∈n⅄ᐱ(Pn/An), ∈n⅄ᐱ(Pn/Bn), ∈n⅄ᐱ(Pn/Dn), ∈n⅄ᐱ(Pn/En), ∈n⅄ᐱ(Pn/Fn), ∈n⅄ᐱ(Pn/Gn), ∈n⅄ᐱ(Pn/Hn), ∈n⅄ᐱ(Pn/In), ∈n⅄ᐱ(Pn/Jn), ∈n⅄ᐱ(Pn/Kn), ∈n⅄ᐱ(Pn/Ln), ∈n⅄ᐱ(Pn/Mn), ∈n⅄ᐱ(Pn/Nn), ∈n⅄ᐱ(Pn/On), ∈n⅄ᐱ(Pn/Pn), ∈n⅄ᐱ(Pn/Qn), ∈n⅄ᐱ(Pn/Rn), ∈n⅄ᐱ(Pn/Sn), ∈n⅄ᐱ(Pn/Tn),∈n⅄ᐱ(Pn/Un), ∈n⅄ᐱ(Pn/Vn), ∈n⅄ᐱ(Pn/Wn), ∈n⅄ᐱ(Pn/Yn), ∈n⅄ᐱ(Pn/Zn), ∈n⅄ᐱ(Pn/φn), ∈n⅄ᐱ(Pn/Θn)
∈n⅄ᐱ(Qn/An), ∈n⅄ᐱ(Qn/Bn), ∈n⅄ᐱ(Qn/Dn), ∈n⅄ᐱ(Qn/En), ∈n⅄ᐱ(Qn/Fn), ∈n⅄ᐱ(Qn/Gn), ∈n⅄ᐱ(Qn/Hn), ∈n⅄ᐱ(Qn/In), ∈n⅄ᐱ(Qn/Jn), ∈n⅄ᐱ(Qn/Kn), ∈n⅄ᐱ(Qn/Ln), ∈n⅄ᐱ(Qn/Mn), ∈n⅄ᐱ(Qn/Nn), ∈n⅄ᐱ(Qn/On), ∈n⅄ᐱ(Qn/Pn), ∈n⅄ᐱ(Qn/Qn), ∈n⅄ᐱ(Qn/Rn), ∈n⅄ᐱ(Qn/Sn), ∈n⅄ᐱ(Qn/Tn),∈n⅄ᐱ(Qn/Un), ∈n⅄ᐱ(Qn/Vn), ∈n⅄ᐱ(Qn/Wn), ∈n⅄ᐱ(Qn/Yn), ∈n⅄ᐱ(Qn/Zn), ∈n⅄ᐱ(Qn/φn), ∈n⅄ᐱ(Qn/Θn)
∈n⅄ᐱ(Rn/An), ∈n⅄ᐱ(Rn/Bn), ∈n⅄ᐱ(Rn/Dn), ∈n⅄ᐱ(Rn/En), ∈n⅄ᐱ(Rn/Fn), ∈n⅄ᐱ(Rn/Gn), ∈n⅄ᐱ(Rn/Hn), ∈n⅄ᐱ(Rn/In), ∈n⅄ᐱ(Rn/Jn), ∈n⅄ᐱ(Rn/Kn), ∈n⅄ᐱ(Rn/Ln), ∈n⅄ᐱ(Rn/Mn), ∈n⅄ᐱ(Rn/Nn), ∈n⅄ᐱ(Rn/On), ∈n⅄ᐱ(Rn/Pn), ∈n⅄ᐱ(Rn/Qn), ∈n⅄ᐱ(Rn/Rn), ∈n⅄ᐱ(Rn/Sn), ∈n⅄ᐱ(Rn/Tn),∈n⅄ᐱ(Rn/Un), ∈n⅄ᐱ(Rn/Vn), ∈n⅄ᐱ(Rn/Wn), ∈n⅄ᐱ(Rn/Yn), ∈n⅄ᐱ(Rn/Zn), ∈n⅄ᐱ(Rn/φn), ∈n⅄ᐱ(Rn/Θn)
∈n⅄ᐱ(Sn/An), ∈n⅄ᐱ(Sn/Bn), ∈n⅄ᐱ(Sn/Dn), ∈n⅄ᐱ(Sn/En), ∈n⅄ᐱ(Sn/Fn), ∈n⅄ᐱ(Sn/Gn), ∈n⅄ᐱ(Sn/Hn), ∈n⅄ᐱ(Sn/In), ∈n⅄ᐱ(Sn/Jn), ∈n⅄ᐱ(Sn/Kn), ∈n⅄ᐱ(Sn/Ln), ∈n⅄ᐱ(Sn/Mn), ∈n⅄ᐱ(Sn/Nn), ∈n⅄ᐱ(Sn/On), ∈n⅄ᐱ(Sn/Pn), ∈n⅄ᐱ(Sn/Qn), ∈n⅄ᐱ(Sn/Rn), ∈n⅄ᐱ(Sn/Sn), ∈n⅄ᐱ(Sn/Tn),∈n⅄ᐱ(Sn/Un), ∈n⅄ᐱ(Sn/Vn), ∈n⅄ᐱ(Sn/Wn), ∈n⅄ᐱ(Sn/Yn), ∈n⅄ᐱ(Sn/Zn), ∈n⅄ᐱ(Sn/φn), ∈n⅄ᐱ(Sn/Θn)
∈n⅄ᐱ(Tn/An), ∈n⅄ᐱ(Tn/Bn), ∈n⅄ᐱ(Tn/Dn), ∈n⅄ᐱ(Tn/En), ∈n⅄ᐱ(Tn/Fn), ∈n⅄ᐱ(Tn/Gn), ∈n⅄ᐱ(Tn/Hn), ∈n⅄ᐱ(Tn/In), ∈n⅄ᐱ(Tn/Jn), ∈n⅄ᐱ(Tn/Kn), ∈n⅄ᐱ(Tn/Ln), ∈n⅄ᐱ(Tn/Mn), ∈n⅄ᐱ(Tn/Nn), ∈n⅄ᐱ(Tn/On), ∈n⅄ᐱ(Tn/Pn), ∈n⅄ᐱ(Tn/Qn), ∈n⅄ᐱ(Tn/Rn), ∈n⅄ᐱ(Tn/Sn), ∈n⅄ᐱ(Tn/Tn),∈n⅄ᐱ(Tn/Un), ∈n⅄ᐱ(Tn/Vn), ∈n⅄ᐱ(Tn/Wn), ∈n⅄ᐱ(Tn/Yn), ∈n⅄ᐱ(Tn/Zn), ∈n⅄ᐱ(Tn/φn), ∈n⅄ᐱ(Tn/Θn)
∈n⅄ᐱ(Un/An), ∈n⅄ᐱ(Un/Bn), ∈n⅄ᐱ(Un/Dn), ∈n⅄ᐱ(Un/En), ∈n⅄ᐱ(Un/Fn), ∈n⅄ᐱ(Un/Gn), ∈n⅄ᐱ(Un/Hn), ∈n⅄ᐱ(Un/In), ∈n⅄ᐱ(Un/Jn), ∈n⅄ᐱ(Un/Kn), ∈n⅄ᐱ(Un/Ln), ∈n⅄ᐱ(Un/Mn), ∈n⅄ᐱ(Un/Nn), ∈n⅄ᐱ(Un/On), ∈n⅄ᐱ(Un/Pn), ∈n⅄ᐱ(Un/Qn), ∈n⅄ᐱ(Un/Rn), ∈n⅄ᐱ(Un/Sn), ∈n⅄ᐱ(Un/Tn),∈n⅄ᐱ(Un/Un), ∈n⅄ᐱ(Un/Vn), ∈n⅄ᐱ(Un/Wn), ∈n⅄ᐱ(Un/Yn), ∈n⅄ᐱ(Un/Zn), ∈n⅄ᐱ(Un/φn), ∈n⅄ᐱ(Un/Θn)
∈n⅄ᐱ(Vn/An), ∈n⅄ᐱ(Vn/Bn), ∈n⅄ᐱ(Vn/Dn), ∈n⅄ᐱ(Vn/En), ∈n⅄ᐱ(Vn/Fn), ∈n⅄ᐱ(Vn/Gn), ∈n⅄ᐱ(Vn/Hn), ∈n⅄ᐱ(Vn/In), ∈n⅄ᐱ(Vn/Jn), ∈n⅄ᐱ(Vn/Kn), ∈n⅄ᐱ(Vn/Ln), ∈n⅄ᐱ(Vn/Mn), ∈n⅄ᐱ(Vn/Nn), ∈n⅄ᐱ(Vn/On), ∈n⅄ᐱ(Vn/Pn), ∈n⅄ᐱ(Vn/Qn), ∈n⅄ᐱ(Vn/Rn), ∈n⅄ᐱ(Vn/Sn), ∈n⅄ᐱ(Vn/Tn),∈n⅄ᐱ(Vn/Un), ∈n⅄ᐱ(Vn/Vn), ∈n⅄ᐱ(Vn/Wn), ∈n⅄ᐱ(Vn/Yn), ∈n⅄ᐱ(Vn/Zn), ∈n⅄ᐱ(Vn/φn), ∈n⅄ᐱ(Vn/Θn)
∈n⅄ᐱ(Wn/An), ∈n⅄ᐱ(Wn/Bn), ∈n⅄ᐱ(Wn/Dn), ∈n⅄ᐱ(Wn/En), ∈n⅄ᐱ(Wn/Fn), ∈n⅄ᐱ(Wn/Gn), ∈n⅄ᐱ(Wn/Hn), ∈n⅄ᐱ(Wn/In), ∈n⅄ᐱ(Wn/Jn), ∈n⅄ᐱ(Wn/Kn), ∈n⅄ᐱ(Wn/Ln), ∈n⅄ᐱ(Wn/Mn), ∈n⅄ᐱ(Wn/Nn), ∈n⅄ᐱ(Wn/On), ∈n⅄ᐱ(Wn/Pn), ∈n⅄ᐱ(Wn/Qn), ∈n⅄ᐱ(Wn/Rn), ∈n⅄ᐱ(Wn/Sn), ∈n⅄ᐱ(Wn/Tn),∈n⅄ᐱ(Wn/Un), ∈n⅄ᐱ(Wn/Vn), ∈n⅄ᐱ(Wn/Wn), ∈n⅄ᐱ(Wn/Yn), ∈n⅄ᐱ(Wn/Zn), ∈n⅄ᐱ(Wn/φn), ∈n⅄ᐱ(Wn/Θn)
∈n⅄ᐱ(Yn/An), ∈n⅄ᐱ(Yn/Bn), ∈n⅄ᐱ(Yn/Dn), ∈n⅄ᐱ(Yn/En), ∈n⅄ᐱ(Yn/Fn), ∈n⅄ᐱ(Yn/Gn), ∈n⅄ᐱ(Yn/Hn), ∈n⅄ᐱ(Yn/In), ∈n⅄ᐱ(Yn/Jn), ∈n⅄ᐱ(Yn/Kn), ∈n⅄ᐱ(Yn/Ln), ∈n⅄ᐱ(Yn/Mn), ∈n⅄ᐱ(Yn/Nn), ∈n⅄ᐱ(Yn/On), ∈n⅄ᐱ(Yn/Pn), ∈n⅄ᐱ(Yn/Qn), ∈n⅄ᐱ(Yn/Rn), ∈n⅄ᐱ(Yn/Sn), ∈n⅄ᐱ(Yn/Tn),∈n⅄ᐱ(Yn/Un), ∈n⅄ᐱ(Yn/Vn), ∈n⅄ᐱ(Yn/Wn), ∈n⅄ᐱ(Yn/Yn), ∈n⅄ᐱ(Yn/Zn), ∈n⅄ᐱ(Yn/φn), ∈n⅄ᐱ(Yn/Θn)
∈n⅄ᐱ(Zn/An), ∈n⅄ᐱ(Zn/Bn), ∈n⅄ᐱ(Zn/Dn), ∈n⅄ᐱ(Zn/En), ∈n⅄ᐱ(Zn/Fn), ∈n⅄ᐱ(Zn/Gn), ∈n⅄ᐱ(Zn/Hn), ∈n⅄ᐱ(Zn/In), ∈n⅄ᐱ(Zn/Jn), ∈n⅄ᐱ(Zn/Kn), ∈n⅄ᐱ(Zn/Ln), ∈n⅄ᐱ(Zn/Mn), ∈n⅄ᐱ(Zn/Nn), ∈n⅄ᐱ(Zn/On), ∈n⅄ᐱ(Zn/Pn), ∈n⅄ᐱ(Zn/Qn), ∈n⅄ᐱ(Zn/Rn), ∈n⅄ᐱ(Zn/Sn), ∈n⅄ᐱ(Zn/Tn),∈n⅄ᐱ(Zn/Un), ∈n⅄ᐱ(Zn/Vn), ∈n⅄ᐱ(Zn/Wn), ∈n⅄ᐱ(Zn/Yn), ∈n⅄ᐱ(Zn/Zn), ∈n⅄ᐱ(Zn/φn), ∈n⅄ᐱ(Zn/Θn)
∈n⅄ᐱ(φn/An), ∈n⅄ᐱ(φn/Bn), ∈n⅄ᐱ(φn/Dn), ∈n⅄ᐱ(φn/En), ∈n⅄ᐱ(φn/Fn), ∈n⅄ᐱ(φn/Gn), ∈n⅄ᐱ(φn/Hn), ∈n⅄ᐱ(φn/In), ∈n⅄ᐱ(φn/Jn), ∈n⅄ᐱ(φn/Kn), ∈n⅄ᐱ(φn/Ln), ∈n⅄ᐱ(φn/Mn), ∈n⅄ᐱ(φn/Nn), ∈n⅄ᐱ(φn/On), ∈n⅄ᐱ(φn/Pn), ∈n⅄ᐱ(φn/Qn), ∈n⅄ᐱ(φn/Rn), ∈n⅄ᐱ(φn/Sn), ∈n⅄ᐱ(φn/Tn),∈n⅄ᐱ(φn/Un), ∈n⅄ᐱ(φn/Vn), ∈n⅄ᐱ(φn/Wn), ∈n⅄ᐱ(φn/Xn), ∈n⅄ᐱ(φn/Yn), ∈n⅄ᐱ(φn/Zn), ∈n⅄ᐱ(φn/φn), ∈n⅄ᐱ(φn/Θn)
∈n⅄ᐱ(Θn/An), ∈n⅄ᐱ(Θn/Bn), ∈n⅄ᐱ(Θn/Dn), ∈n⅄ᐱ(Θn/En), ∈n⅄ᐱ(Θn/Fn), ∈n⅄ᐱ(Θn/Gn), ∈n⅄ᐱ(Θn/Hn), ∈n⅄ᐱ(Θn/In), ∈n⅄ᐱ(Θn/Jn), ∈n⅄ᐱ(Θn/Kn), ∈n⅄ᐱ(Θn/Ln), ∈n⅄ᐱ(Θn/Mn), ∈n⅄ᐱ(Θn/Nn), ∈n⅄ᐱ(Θn/On), ∈n⅄ᐱ(Θn/Pn), ∈n⅄ᐱ(Θn/Qn), ∈n⅄ᐱ(Θn/Rn), ∈n⅄ᐱ(Θn/Sn), ∈n⅄ᐱ(Θn/Tn),∈n⅄ᐱ(Θn/Un), ∈n⅄ᐱ(Θn/Vn), ∈n⅄ᐱ(Θn/Wn), ∈n⅄ᐱ(Θn/Xn), ∈n⅄ᐱ(Θn/Yn), ∈n⅄ᐱ(Θn/Zn), ∈n⅄ᐱ(Θn/φn), ∈n⅄ᐱ(Θn/Θn)
With 27 base sets to each set of ᐱ have 1⅄, 2⅄, 3⅄ paths occur with infinite library potential each that then 81 basic sets have other potential functions of X, 1+⅄, 1-⅄, 2-⅄, ⅄n from Y, P, N, whole number fractals in quantum field fractal polarization.
27 libraries multiplied by 8 basic function potentials multiplied by 27 library variables equals 5832 base libraries each with infinite numeral library stacking to infinite variables more give infinite cycles of a cn in those ratios.
5,832 library base paths of 27 sets ᐱ with 8 functions applicable to 1⅄, 2⅄, 3⅄, X, 1+⅄, 1-⅄, 2-⅄, ⅄n , 3 libraries that all 5,832 libraries align to are ∈ᐱ of (N) and ∈ᐱ of (Y) and ∈ᐱ of (P).
∈ᐱ of (P) is a function of a complex ratio with a prime number.
∈ᐱ of (Y) is a function of a complex ratio with a fibonacci number.
∈ᐱ of (N) is a function of a complex ratio with a number.
∈ᐱ of (Ψ) is a function of a number that is non prime and non fibonacci
This library is a base logic of sets ∈ᐱ prior to factoring variable sets for a library of ∈(Ψ) applied to those libraries of sequential set variables on 8 paths of equations is 46,656 libraries of infinite potential change in the factors to cn of the number nNncn
Each sequential set equates with numerals of no potential change in cn of nNncn decimal cycle numeration , a constant quantity with infinite potential change variables.
1ᗑ
ᗑ=(ᐱ/ᐱ) for paths 1⅄, 2⅄, and 3⅄ of ᗑ variables
∈(ᗑ)=∈1(⅄ᗑ) and ∈2(⅄ᗑ) and ∈3(⅄ᗑ) of variables ⅄ᐱ, ⅄A through ⅄Z, ⅄φ, ⅄Θ, ⅄Ψ and whole numbers or a variable factors noted that ∈(ᐱ) is applicable with in quanta such that ∈(ᗑ)=(⅄ᐱ)=(ᐱn/ᐱn)=(n⅄nᐱncn/n⅄nᐱncn) then nᗑncn is a variable of a complex set equation notation of complex variable factors n⅄nᐱncn
n⅄ncn=(⅄ᗑ)(ncn)ncn
or
n⅄ncn=(⅄ᐱ)(ncn)ncn
⅄ represents alternate path factoring of the variables 1⅄, 2⅄, 3⅄ncn.
1⅄ᗑ=(ᐱn2/ᐱn1) and 2⅄ᗑ=(ᐱn1/ᐱn2) and 3⅄ᗑ=(ᐱncn/ᐱncn) are depending an accuracy of decimal stem variant notation to variable factoring precision noted with Nncn that ᐱ or N is a number and n1 is a numerated variable in a set of ᐱ and the numerated ordinal ratio of that set to a number of cycles in that complex ratio defined with a whole number of cycles or a percent of whole and partial cycles using the decimal variant stem.
ᗑn10c10.33 variant for example is a notation of a ratio of a set label of the 10th number of a undefined set in ᗑ with 10 whole cycles of the variant decimal stem and one third of that decimal stem totaling 10 and 33% of that decimal stem cycle and no more.
As the numbers of a stem variant in decimal ratios can be counted, then the variables can be noted to a definition of that number variation potential to a notation. If a specific number of decimal stem variant is to be noted differently, it should be noted as different notation so not to be confused as that many cycles of a stem decimal repeatable cycle and only digits of that decimal stem.
1⅄
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 ᐱ ᗑ ∘⧊° ∘∇° are applicable to a function.
Function path 1⅄=(nn2cn/nn1cn) is nn2cn later number in a set of consecutive variables divided by nn1cn previous number in a set of consecutive variables, such that nncn is a number or variable with a repeating or not repeating decimal stem cycle variant.
∈1⅄ᐱ(An2/An1), ∈1⅄ᐱ(An2/Bn1), ∈1⅄ᐱ(An2/Dn1), ∈1⅄ᐱ(An2/En1), ∈1⅄ᐱ(An2/Fn1), ∈1⅄ᐱ(An2/Gn1), ∈1⅄ᐱ(An2/Hn1), ∈1⅄ᐱ(An2/In1), ∈1⅄ᐱ(An2/Jn1), ∈1⅄ᐱ(An2/Kn1), ∈1⅄ᐱ(An2/Ln1), ∈1⅄ᐱ(An2/Mn1), ∈1⅄ᐱ(An2/Nn1), ∈1⅄ᐱ(An2/On1), ∈1⅄ᐱ(An2/Pn1), ∈1⅄ᐱ(An2/Qn1), ∈1⅄ᐱ(An2/Rn1), ∈1⅄ᐱ(An2Sn1), ∈1⅄ᐱ(An2/Tn1), ∈1⅄ᐱ(An2/Un1), ∈1⅄ᐱ(An2/Vn1), ∈1⅄ᐱ(An2/Wn1), ∈1⅄ᐱ(An2/Yn1), ∈1⅄ᐱ(An2/Zn1), ∈1⅄ᐱ(An2/φn1), ∈1⅄ᐱ(An2/Θn1), ∈1⅄ᐱ(An2/Ψn1), ∈2⅄ᐱ(An2cn/ᐱn1cn), ∈1⅄ᐱ(An2cn/ᗑn1cn), ∈1⅄ᐱ(An2cn/∘⧊°n1cn), ∈1⅄ᐱ(An2cn/∘∇°n1cn)
∈1⅄ᐱ(Bn2/An1), ∈2⅄ᐱ(Bn2/Bn1), ∈1⅄ᐱ(Bn2/Dn1), ∈1⅄ᐱ(Bn2/En1), ∈1⅄ᐱ(Bn2/Fn1), ∈1⅄ᐱ(Bn2/Gn1), ∈1⅄ᐱ(Bn2/Hn1), ∈1⅄ᐱ(Bn2/In1), ∈1⅄ᐱ(Bn2/Jn1), ∈1⅄ᐱ(Bn2/Kn1), ∈1⅄ᐱ(Bn2/Ln1), ∈1⅄ᐱ(Bn2/Mn1), ∈1⅄ᐱ(Bn2/Nn1), ∈1⅄ᐱ(Bn2/On1), ∈1⅄ᐱ(Bn2/Pn1), ∈1⅄ᐱ(Bn2/Qn1), ∈1⅄ᐱ(Bn2/Rn1), ∈1⅄ᐱ(Bn2/Sn1), ∈1⅄ᐱ(Bn2/Tn1), ∈1⅄ᐱ(Bn2/Un1), ∈1⅄ᐱ(Bn2/Vn1), ∈1⅄ᐱ(Bn2/Wn1), ∈1⅄ᐱ(Bn2/Yn1), ∈1⅄ᐱ(Bn2/Zn1), ∈1⅄ᐱ(Bn2/φn1), ∈1⅄ᐱ(Bn2/Θn1), ∈1⅄ᐱ(Bn2/Ψn1), ∈1⅄ᐱ(Bn2cn/ᐱn1cn), ∈1⅄ᐱ(Bn2cn/ᗑn1cn), ∈1⅄ᐱ(Bn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Bn2cn/∘∇°n1cn)
∈1⅄ᐱ(Dn2/An1), ∈1⅄ᐱ(Dn2/Bn1), ∈1⅄ᐱ(Dn2/Dn1), ∈1⅄ᐱ(Dn2/En1), ∈1⅄ᐱ(Dn2/Fn1), ∈1⅄ᐱ(Dn2/Gn1), ∈1⅄ᐱ(Dn2/Hn1), ∈1⅄ᐱ(Dn2/In1), ∈1⅄ᐱ(Dn2/Jn1), ∈1⅄ᐱ(Dn2/Kn1), ∈1⅄ᐱ(Dn2/Ln1), ∈1⅄ᐱ(Dn2/Mn1), ∈1⅄ᐱ(Dn2/Nn1), ∈1⅄ᐱ(Dn2/On1), ∈1⅄ᐱ(Dn2/Pn1), ∈1⅄ᐱ(Dn2/Qn1), ∈1⅄ᐱ(Dn2/Rn1), ∈1⅄ᐱ(Dn2/Sn1), ∈1⅄ᐱ(Dn2/Tn1), ∈1⅄ᐱ(Dn2/Un1), ∈1⅄ᐱ(Dn2/Vn1), ∈1⅄ᐱ(Dn2/Wn1), ∈1⅄ᐱ(Dn2/Yn1), ∈1⅄ᐱ(Dn2/Zn1), ∈1⅄ᐱ(Dn2/φn1), ∈1⅄ᐱ(Dn2/Θn1), ∈1⅄ᐱ(Dn2/Ψn1), ∈1⅄ᐱ(Dn2cn/ᐱn1cn), ∈1⅄ᐱ(Dn2cn/ᗑn1cn), ∈1⅄ᐱ(Dn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Dn2cn/∘∇°n1cn)
∈1⅄ᐱ(En2/An1), ∈1⅄ᐱ(En2/Bn1), ∈1⅄ᐱ(En2/Dn1), ∈1⅄ᐱ(En2/En1), ∈1⅄ᐱ(En2/Fn1), ∈1⅄ᐱ(En2/Gn1), ∈1⅄ᐱ(En2/Hn1), ∈1⅄ᐱ(En2/In1), ∈1⅄ᐱ(En2/Jn1), ∈1⅄ᐱ(En2/Kn1), ∈1⅄ᐱ(En2/Ln1), ∈1⅄ᐱ(En2/Mn1), ∈1⅄ᐱ(En2/Nn1), ∈1⅄ᐱ(En2/On1), ∈1⅄ᐱ(En2/Pn1), ∈1⅄ᐱ(En2/Qn1), ∈1⅄ᐱ(En2/Rn1), ∈1⅄ᐱ(En2/Sn1), ∈1⅄ᐱ(En2/Tn1),∈1⅄ᐱ(En2/Un1), ∈1⅄ᐱ(En2/Vn1), ∈1⅄ᐱ(En2/Wn1), ∈1⅄ᐱ(En2/Yn1), ∈1⅄ᐱ(En2/Zn1), ∈1⅄ᐱ(En2/φn1), ∈1⅄ᐱ(En2/Θn1), ∈1⅄ᐱ(En2/Ψn1), ∈1⅄ᐱ(En2cn/ᐱn1cn), ∈1⅄ᐱ(En2cn/ᗑn1cn), ∈1⅄ᐱ(En2cn/∘⧊°n1cn), ∈1⅄ᐱ(En2cn/∘∇°n1cn)
∈1⅄ᐱ(Fn2/An1), ∈1⅄ᐱ(Fn2/Bn1), ∈1⅄ᐱ(Fn2/Dn1), ∈1⅄ᐱ(Fn2/En1), ∈1⅄ᐱ(Fn2/Fn1), ∈1⅄ᐱ(Fn2/Gn1), ∈1⅄ᐱ(Fn2/Hn1), ∈1⅄ᐱ(Fn2/In1), ∈1⅄ᐱ(Fn2/Jn1), ∈1⅄ᐱ(Fn2/Kn1), ∈1⅄ᐱ(Fn2/Ln1), ∈1⅄ᐱ(Fn2/Mn1), ∈1⅄ᐱ(Fn2/Nn1), ∈1⅄ᐱ(Fn2/On1), ∈1⅄ᐱ(Fn2/Pn1), ∈1⅄ᐱ(Fn2/Qn1), ∈1⅄ᐱ(Fn2/Rn1), ∈1⅄ᐱ(Fn2/Sn1), ∈1⅄ᐱ(Fn2/Tn1),∈1⅄ᐱ(Fn2/Un1), ∈1⅄ᐱ(Fn2/Vn1), ∈1⅄ᐱ(Fn2/Wn1), ∈1⅄ᐱ(Fn2/Yn1), ∈1⅄ᐱ(Fn2/Zn1), ∈1⅄ᐱ(Fn2/φn1), ∈1⅄ᐱ(Fn2/Θn1), ∈1⅄ᐱ(Fn2/Ψn1), ∈1⅄ᐱ(Fn2cn/ᐱn1cn), ∈1⅄ᐱ(Fn2cn/ᗑn1cn), ∈1⅄ᐱ(Fn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Fn2cn/∘∇°n1cn)
∈1⅄ᐱ(Gn2/An1), ∈1⅄ᐱ(Gn2/Bn1), ∈1⅄ᐱ(Gn2/Dn1), ∈1⅄ᐱ(Gn2/En1), ∈1⅄ᐱ(Gn2/Fn1), ∈1⅄ᐱ(Gn2/Gn1), ∈1⅄ᐱ(Gn2/Hn1), ∈1⅄ᐱ(Gn2/In1), ∈1⅄ᐱ(Gn2/Jn1), ∈1⅄ᐱ(Gn2/Kn1), ∈1⅄ᐱ(Gn2/Ln1), ∈1⅄ᐱ(Gn2/Mn1), ∈1⅄ᐱ(Gn2/Nn1), ∈1⅄ᐱ(Gn2/On1), ∈1⅄ᐱ(Gn2/Pn1), ∈1⅄ᐱ(Gn2/Qn1), ∈1⅄ᐱ(Gn2/Rn1), ∈1⅄ᐱ(Gn2/Sn1), ∈1⅄ᐱ(Gn2/Tn1),∈1⅄ᐱ(Gn2/Un1), ∈1⅄ᐱ(Gn2Vn1), ∈1⅄ᐱ(Gn2/Wn1), ∈1⅄ᐱ(Gn2/Yn1), ∈1⅄ᐱ(Gn2/Zn1), ∈1⅄ᐱ(Gn2/φn1), ∈1⅄ᐱ(Gn2/Θn1), ∈1⅄ᐱ(Gn2/Ψn1), ∈1⅄ᐱ(Gn2cn/ᐱn1cn), ∈1⅄ᐱ(Gn2cn/ᗑn1cn), ∈1⅄ᐱ(Gn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Gn2cn/∘∇°n1cn)
∈1⅄ᐱ(Hn2/An1), ∈1⅄ᐱ(Hn2/Bn1), ∈1⅄ᐱ(Hn2/Dn1), ∈1⅄ᐱ(Hn2/En1), ∈1⅄ᐱ(Hn2/Fn1), ∈1⅄ᐱ(Hn2/Gn1), ∈1⅄ᐱ(Hn2/Hn1), ∈1⅄ᐱ(Hn2/In1), ∈1⅄ᐱ(Hn2/Jn1), ∈1⅄ᐱ(Hn2/Kn1), ∈1⅄ᐱ(Hn2/Ln1), ∈1⅄ᐱ(Hn2/Mn1), ∈1⅄ᐱ(Hn2/Nn1), ∈1⅄ᐱ(Hn2/On1), ∈1⅄ᐱ(Hn2/Pn1), ∈1⅄ᐱ(Hn2/Qn1), ∈1⅄ᐱ(Hn2/Rn1), ∈1⅄ᐱ(Hn2/Sn1), ∈1⅄ᐱ(Hn2/Tn1), ∈1⅄ᐱ(Hn2/Un1), ∈1⅄ᐱ(Hn2/Vn1), ∈1⅄ᐱ(Hn2/Wn1), ∈1⅄ᐱ(Hn2/Yn1), ∈1⅄ᐱ(Hn2/Zn1), ∈1/⅄ᐱ(Hn2/φn1), ∈1⅄ᐱ(Hn2/Θn1), ∈1⅄ᐱ(Hn2/Ψn1), ∈1⅄ᐱ(Hn2cn/ᐱn1cn), ∈1⅄Xᐱ(Hn2cn/ᗑn1cn), ∈1⅄ᐱ(Hn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Hn2cn/∘∇°n1cn)
∈1⅄ᐱ(In2/An1), ∈1⅄ᐱ(In2/Bn1), ∈1⅄ᐱ(In2/Dn1), ∈1⅄ᐱ(In2/En1), ∈1⅄ᐱ(In2/Fn1), ∈1⅄ᐱ(In2-/Gn1), ∈1⅄ᐱ(In2/Hn1), ∈1⅄ᐱ(In2/In1), ∈1⅄ᐱ(In2/Jn1), ∈1⅄ᐱ(In2/Kn1), ∈1⅄ᐱ(In2/Ln1), ∈1⅄ᐱ(In2/Mn1), ∈1⅄ᐱ(In2/Nn1), ∈1⅄ᐱ(In2/On1), ∈1⅄ᐱ(In2/Pn1), ∈1⅄ᐱ(In2/Qn1), ∈1⅄ᐱ(In2/Rn1), ∈1⅄ᐱ(In2/Sn1), ∈1⅄ᐱ(In2/Tn1),∈1⅄ᐱ(In2/Un1), ∈1⅄ᐱ(In2/Vn1), ∈1⅄ᐱ(In2/Wn1), ∈1⅄ᐱ(In2/Yn1), ∈1⅄ᐱ(In2/Zn1), ∈1⅄ᐱ(In2/φn1), ∈1⅄ᐱ(In2/Θn1), ∈1⅄ᐱ(In2/Ψn1), ∈1⅄ᐱ(In2cn/ᐱn1cn), ∈1⅄ᐱ(In2cn/ᗑn1cn), ∈1⅄ᐱ(In2cn/∘⧊°n1cn), ∈1⅄ᐱ(In2cn/∘∇°n1cn)
∈1⅄ᐱ(Jn2/An1), ∈1⅄ᐱ(Jn2/Bn1), ∈1⅄ᐱ(Jn2/Dn1), ∈1⅄ᐱ(Jn2/En1), ∈1⅄ᐱ(Jn2/Fn1), ∈1⅄ᐱ(Jn2/Gn1), ∈1⅄ᐱ(Jn2/Hn1), ∈1⅄ᐱ(Jn2/In1), ∈1⅄ᐱ(Jn2/Jn1), ∈1⅄ᐱ(Jn2/Kn1), ∈1⅄ᐱ(Jn2/Ln1), ∈1⅄ᐱ(Jn2/Mn1), ∈1⅄ᐱ(Jn2/Nn1), ∈1⅄ᐱ(Jn2/On1), ∈1⅄ᐱ(Jn2/Pn1), ∈1⅄ᐱ(Jn2/Qn1), ∈1⅄ᐱ(Jn2/Rn1), ∈1/⅄ᐱ(Jn2/Sn1), ∈1⅄ᐱ(Jn2/Tn1),∈1⅄ᐱ(Jn2/Un1), ∈1⅄ᐱ(Jn2/Vn1), ∈1⅄ᐱ(Jn2/Wn1), ∈1⅄ᐱ(Jn2/Yn1), ∈1⅄ᐱ(Jn2/Zn1), ∈1⅄ᐱ(Jn2/φn1), ∈1⅄ᐱ(Jn2/Θn1), ∈1⅄ᐱ(Jn2/Ψn1), ∈1⅄ᐱ(Jn2cn/ᐱn1cn), ∈1⅄ᐱ(Jn2cn/ᗑn1cn), ∈1⅄ᐱ(Jn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Jn2cn/∘∇°n1cn)
∈1⅄ᐱ(Kn2/An1), ∈1⅄ᐱ(Kn2/Bn1), ∈1⅄ᐱ(Kn2/Dn1), ∈1⅄ᐱ(Kn2/En1), ∈1⅄ᐱ(Kn2/Fn1), ∈1⅄ᐱ(Kn2/Gn1), ∈1⅄ᐱ(Kn2/Hn1), ∈1⅄ᐱ(Kn2/In1), ∈1⅄ᐱ(Kn2/Jn1), ∈1⅄ᐱ(Kn2/Kn1), ∈1⅄ᐱ(Kn2/Ln1), ∈1⅄ᐱ(Kn2/Mn1), ∈1⅄ᐱ(Kn2/Nn1), ∈1⅄ᐱ(Kn2/On1), ∈1⅄ᐱ(Kn2/Pn1), ∈1⅄ᐱ(Kn2/Qn1), ∈1⅄ᐱ(Kn2/Rn1), ∈1⅄ᐱ(Kn2/Sn1), ∈1⅄ᐱ(Kn2/Tn1),∈1⅄ᐱ(Kn2/Un1), ∈1⅄ᐱ(Kn2/Vn1), ∈1⅄ᐱ(Kn2/Wn1), ∈1⅄ᐱ(Kn2/Yn1), ∈1⅄ᐱ(Kn2/Zn1), ∈1⅄ᐱ(Kn2/φn1), ∈1⅄ᐱ(Kn2/Θn1), ∈1⅄ᐱ(Kn2/Ψn1), ∈1⅄ᐱ(Kn2cn/ᐱn1cn), ∈1⅄ᐱ(Kn2cn/ᗑn1cn), ∈1⅄ᐱ(Kn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Kn2cn/∘∇°n1cn)
∈1⅄ᐱ(Ln2/An1), ∈1⅄ᐱ(Ln2/Bn1), ∈1⅄ᐱ(Ln2/Dn1), ∈1⅄ᐱ(Ln2/En1), ∈1⅄ᐱ(Ln2/Fn1), ∈1⅄ᐱ(Ln2/Gn1), ∈1⅄ᐱ(Ln2/Hn1), ∈1⅄ᐱ(Ln2/In1), ∈1⅄ᐱ(Ln2/Jn1), ∈1⅄ᐱ(Ln2/Kn1), ∈1⅄ᐱ(Ln2/Ln1), ∈1⅄ᐱ(Ln2/Mn1), ∈1⅄ᐱ(Ln2/Nn1), ∈1⅄ᐱ(Ln2/On1), ∈1⅄ᐱ(Ln2/Pn1), ∈1⅄ᐱ(Ln2/Qn1), ∈1⅄ᐱ(Ln2/Rn1), ∈1⅄ᐱ(Ln2/Sn1), ∈1⅄ᐱ(Ln2/Tn1),∈1⅄ᐱ(Ln2/Un1), ∈1⅄ᐱ(Ln2/Vn1), ∈1⅄ᐱ(Ln2/Wn1), ∈1⅄ᐱ(Ln2/Yn1), ∈1⅄ᐱ(Ln1/Zn1), ∈1⅄ᐱ(Ln2/φn1), ∈1⅄ᐱ(Ln2/Θn1)), ∈1⅄ᐱ(Ln2/Ψn1), ∈1⅄ᐱ(Ln2cn/ᐱn1cn), ∈1⅄ᐱ(Ln2cn/ᗑn1cn), ∈1⅄ᐱ(Ln2cn/∘⧊°n1cn), ∈1⅄ᐱ(Ln2cn/∘∇°n1cn)
∈1⅄ᐱ(Mn2/An1), ∈1⅄ᐱ(Mn2/Bn1), ∈1⅄ᐱ(Mn2/Dn1), ∈1⅄ᐱ(Mn2/En1), ∈1⅄ᐱ(Mn2/Fn1), ∈1⅄ᐱ(Mn2/Gn1), ∈1⅄ᐱ(Mn2/Hn1), ∈1⅄ᐱ(Mn2/In1), ∈1⅄ᐱ(Mn2/Jn1), ∈1⅄ᐱ(Mn2/Kn1), ∈1⅄ᐱ(Mn2/Ln1), ∈1⅄ᐱ(Mn2/Mn1), ∈1⅄ᐱ(Mn2/Nn1), ∈1⅄ᐱ(Mn2/On1), ∈1⅄ᐱ(Mn2/Pn1), ∈1⅄ᐱ(Mn2/Qn1), ∈1⅄ᐱ(Mn2/Rn1), ∈1⅄ᐱ(Mn2/Sn1), ∈1⅄ᐱ(Mn2/Tn1),∈1⅄ᐱ(Mn2/Un1), ∈1⅄ᐱ(Mn2/Vn1), ∈1⅄ᐱ(Mn2/Wn1), ∈1⅄ᐱ(Mn2/Yn1), ∈1⅄ᐱ(Mn2/Zn1), ∈1⅄ᐱ(Mn2/φn1), ∈1⅄ᐱ(Mn2/Θn1), ∈1⅄ᐱ(Mn2/Ψn1), ∈1⅄ᐱ(Mn2cn/ᐱn1cn), ∈1⅄ᐱ(Mn2cn/ᗑn1cn), ∈1⅄ᐱ(Mn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Mn2cn/∘∇°n1cn)
∈1⅄ᐱ(Nn2/An1), ∈1⅄ᐱ(Nn2/Bn1), ∈1⅄ᐱ(Nn2/Dn1), ∈1⅄ᐱ(Nn2/En1), ∈1⅄ᐱ(Nn2/Fn1), ∈1⅄ᐱ(Nn2/Gn1), ∈1⅄ᐱ(Nn2/Hn1), ∈1⅄ᐱ(Nn2/In1), ∈1⅄ᐱ(Nn2/Jn1), ∈1⅄ᐱ(Nn2/Kn1), ∈1⅄ᐱ(Nn2/Ln1), ∈1⅄ᐱ(Nn2/Mn1), ∈1⅄ᐱ(Nn2/Nn1), ∈1⅄ᐱ(Nn2/On1), ∈1⅄ᐱ(Nn2/Pn1), ∈1⅄ᐱ(Nn2/Qn1), ∈1⅄ᐱ(Nn2/Rn1), ∈1⅄ᐱ(Nn2/Sn1), ∈1⅄ᐱ(Nn2/Tn1),∈1⅄ᐱ(Nn2/Un1), ∈1⅄ᐱ(Nn2/Vn1), ∈1⅄ᐱ(Nn2/Wn1), ∈1⅄ᐱ(Nn2/Yn1), ∈1⅄ᐱ(Nn2/Zn1), ∈1⅄ᐱ(Nn2/φn1), ∈1⅄ᐱ(Nn2/Θn1), ∈1⅄ᐱ(Nn2/Ψn1), ∈1⅄ᐱ(Nn2cn/ᐱn1cn), ∈1⅄ᐱ(Nn2cn/ᗑn1cn), ∈1-⅄ᐱ(Nn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Nn2cn/∘∇°n1cn)
∈1⅄ᐱ(On2/An1), ∈1⅄ᐱ(On2/Bn1), ∈1⅄ᐱ(On2/Dn1), ∈1⅄ᐱ(On2/En1), ∈1⅄ᐱ(On2/Fn1), ∈1⅄ᐱ(On2/Gn1), ∈1⅄ᐱ(On2/Hn1), ∈1⅄ᐱ(On2/In1), ∈1⅄ᐱ(On2/Jn1), ∈1⅄ᐱ(On2/Kn1), ∈1⅄ᐱ(On2/Ln1), ∈1⅄ᐱ(On2/Mn1), ∈1⅄ᐱ(On2/Nn1), ∈1⅄ᐱ(On2/On1), ∈1⅄ᐱ(On2/Pn1), ∈1⅄ᐱ(On2/Qn1), ∈1⅄ᐱ(On2/Rn1), ∈1⅄ᐱ(On2/Sn1), ∈1⅄ᐱ(On2/Tn1),∈1⅄ᐱ(On2/Un1), ∈1⅄ᐱ(On2/Vn1), ∈1⅄ᐱ(On2/Wn1), ∈1⅄ᐱ(On2/Yn1), ∈1⅄ᐱ(On2/Zn1), ∈1⅄ᐱ(On2/φn1), ∈1⅄ᐱ(On2/Θn1), ∈1⅄ᐱ(On2/Ψn1), ∈1⅄ᐱ(On2cn/ᐱn1cn), ∈1⅄ᐱ(On2cn/ᗑn1cn), ∈1⅄ᐱ(On2cn/∘⧊°n1cn), ∈1⅄ᐱ(On2cn/∘∇°n1cn)
∈1⅄ᐱ(Pn2/An1), ∈1⅄ᐱ(Pn2/Bn1), ∈1⅄ᐱ(Pn2/Dn1), ∈1⅄ᐱ(Pn2/En1), ∈1⅄ᐱ(Pn2/Fn1), ∈1⅄ᐱ(Pn2/Gn1), ∈1⅄ᐱ(Pn2/Hn1), ∈1⅄ᐱ(Pn2/In1), ∈1⅄ᐱ(Pn2/Jn1), ∈1⅄ᐱ(Pn2/Kn1), ∈1⅄ᐱ(Pn2/Ln1), ∈1⅄ᐱ(Pn2/Mn1), ∈1⅄ᐱ(Pn2/Nn1), ∈1⅄ᐱ(Pn2/On1), ∈1⅄ᐱ(Pn2/Pn1), ∈1⅄ᐱ(Pn2/Qn1), ∈1⅄ᐱ(Pn2/Rn1), ∈1⅄ᐱ(Pn2/Sn1), ∈1⅄ᐱ(Pn2/Tn1),∈1⅄ᐱ(Pn2/Un1), ∈1⅄ᐱ(Pn2/Vn1), ∈1⅄ᐱ(Pn2/Wn1), ∈1⅄ᐱ(Pn2/Yn1), ∈1⅄ᐱ(Pn2/Zn1), ∈1⅄ᐱ(Pn2/φn1), ∈1⅄ᐱ(Pn2/Θn1), ∈1⅄ᐱ(Pn2/Ψn1), ∈1⅄ᐱ(Pn2cn/ᐱn1cn), ∈1⅄ᐱ(Pn2cn/ᗑn1cn), ∈1⅄ᐱ(Pn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Pn2cn/∘∇°n1cn)
∈1⅄ᐱ(Qn2/An1), ∈1⅄ᐱ(Qn2/Bn1), ∈1⅄ᐱ(Qn2/Dn1), ∈1⅄ᐱ(Qn2/En1), ∈1⅄ᐱ(Qn2/Fn1), ∈1⅄ᐱ(Qn2/Gn1), ∈1⅄ᐱ(Qn2/Hn1), ∈1⅄ᐱ(Qn2/In1), ∈1⅄ᐱ(Qn2/Jn1), ∈1⅄ᐱ(Qn2/Kn1), ∈1⅄ᐱ(Qn2/Ln1), ∈1⅄ᐱ(Qn2/Mn1), ∈1⅄ᐱ(Qn2/Nn1), ∈1⅄ᐱ(Qn2/On1), ∈1⅄ᐱ(Qn2/Pn1), ∈1⅄ᐱ(Qn2/Qn1), ∈1⅄ᐱ(Qn2/Rn1), ∈1⅄ᐱ(Qn2/Sn1), ∈1⅄ᐱ(Qn2/Tn1), ∈1⅄ᐱ(Qn2/Un1), ∈1⅄ᐱ(Qn2/Vn1), ∈1⅄ᐱ(Qn2/Wn1), ∈1⅄ᐱ(Qn2/Yn1), ∈1⅄ᐱ(Qn2/Zn1), ∈1⅄ᐱ(Qn2/φn1), ∈1⅄ᐱ(Qn2/Θn1), ∈1⅄ᐱ(Qn2/Ψn1), ∈1⅄ᐱ(Qn2cn/ᐱn1cn), ∈1⅄ᐱ(Qn2cn/ᗑn1cn), ∈1⅄ᐱ(Qn1cn/∘⧊°n1cn), ∈1⅄ᐱ(Qn2cn/∘∇°n1cn)
∈1⅄ᐱ(Rn2/An1), ∈1⅄ᐱ(Rn2/Bn1), ∈1⅄ᐱ(Rn2/Dn1), ∈1⅄ᐱ(Rn2/En1), ∈1⅄ᐱ(Rn2/Fn1), ∈1⅄ᐱ(Rn2/Gn1), ∈1⅄ᐱ(Rn2/Hn1), ∈1⅄ᐱ(Rn2/In1), ∈1⅄ᐱ(Rn2/Jn1), ∈1⅄ᐱ(Rn2/Kn1), ∈1⅄ᐱ(Rn2/Ln1), ∈1⅄ᐱ(Rn2/Mn1), ∈1⅄ᐱ(Rn2/Nn1), ∈1⅄ᐱ(Rn2/On1), ∈1⅄ᐱ(Rn2/Pn1), ∈1⅄ᐱ(Rn2/Qn1), ∈1⅄ᐱ(Rn2/Rn1), ∈1⅄ᐱ(Rn2/Sn1), ∈1⅄ᐱ(Rn2/Tn1),∈1⅄ᐱ(Rn2/Un1), ∈1⅄ᐱ(Rn2/Vn1), ∈1⅄ᐱ(Rn2/Wn1), ∈1⅄ᐱ(Rn2/Yn1), ∈1⅄ᐱ(Rn2/Zn1), ∈1⅄ᐱ(Rn2/φn1), ∈1⅄ᐱ(Rn2/Θn1), ∈1⅄ᐱ(Rn2/Ψn1), ∈1⅄ᐱ(Rn2cn/ᐱn1cn), ∈1⅄ᐱ(Rn2cn/ᗑn1cn), ∈1⅄ᐱ(Rn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Rn2cn/∘∇°n1cn)
∈1⅄ᐱ(Sn2/An1), ∈1⅄ᐱ(Sn2/Bn1), ∈1⅄ᐱ(Sn2/Dn1), ∈1⅄ᐱ(Sn2/En1), ∈1⅄ᐱ(Sn2/Fn1), ∈1⅄ᐱ(Sn2/Gn1), ∈1⅄ᐱ(Sn2/Hn1), ∈1⅄ᐱ(Sn2/In1), ∈1⅄ᐱ(Sn2/Jn1), ∈1⅄ᐱ(Sn2/Kn1), ∈1⅄ᐱ(Sn2/Ln1), ∈1⅄ᐱ(Sn2/Mn1), ∈1⅄ᐱ(Sn2/Nn1), ∈1⅄ᐱ(Sn2/On1), ∈1⅄ᐱ(Sn2/Pn1), ∈1⅄ᐱ(Sn2/Qn1), ∈1⅄ᐱ(Sn2/Rn1), ∈1⅄ᐱ(Sn2/Sn1), ∈1⅄ᐱ(Sn2/Tn1),∈1⅄ᐱ(Sn2/Un1), ∈1⅄ᐱ(Sn2/Vn1), ∈1⅄ᐱ(Sn2/Wn1), ∈1⅄ᐱ(Sn2/Yn1), ∈1⅄ᐱ(Sn2/Zn1), ∈1⅄ᐱ(Sn2/φn1), ∈1⅄ᐱ(Sn2/Θn1), ∈1⅄ᐱ(Sn2/Ψn1), ∈1⅄ᐱ(Sn2cn/ᐱn1cn), ∈1⅄ᐱ(Sn2cn/ᗑn1cn), ∈1⅄ᐱ(Sn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Sn2cn/∘∇°n1cn)
∈1⅄ᐱ(Tn2/An1), ∈1⅄ᐱ(Tn2/Bn1), ∈1⅄ᐱ(Tn2/Dn1), ∈1⅄ᐱ(Tn2/En1), ∈1⅄ᐱ(Tn2/Fn1), ∈1⅄ᐱ(Tn2/Gn1), ∈1⅄ᐱ(Tn2/Hn1), ∈1⅄ᐱ(Tn2/In1), ∈1⅄ᐱ(Tn2/Jn1), ∈1⅄ᐱ(Tn2/Kn1), ∈1⅄ᐱ(Tn2/Ln1), ∈1⅄ᐱ(Tn2/Mn1), ∈1⅄ᐱ(Tn2/Nn1), ∈1⅄ᐱ(Tn2/On1), ∈1⅄ᐱ(Tn2/Pn1), ∈1⅄ᐱ(Tn2/Qn1), ∈1⅄ᐱ(Tn2/Rn1), ∈1⅄ᐱ(Tn2/Sn1), ∈1⅄ᐱ(Tn2/Tn1),∈1⅄ᐱ(Tn2/Un1), ∈1⅄ᐱ(Tn2/Vn1), ∈1⅄ᐱ(Tn2/Wn1), ∈1⅄ᐱ(Tn2/Yn1), ∈1⅄ᐱ(Tn2/Zn1), ∈1⅄ᐱ(Tn2/φn1), ∈1⅄ᐱ(Tn2/Θn1), ∈1⅄ᐱ(Tn2/Ψn1), ∈1⅄ᐱ(Tn2cn/ᐱn1cn), ∈1⅄ᐱ(Tn2cn/ᗑn1cn), ∈1⅄ᐱ(Tn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Tn2cn/∘∇°n1cn)
∈1⅄ᐱ(Un2/An1), ∈1⅄ᐱ(Un2/Bn1), ∈1⅄ᐱ(Un2/Dn1), ∈1⅄ᐱ(Un2/En1), ∈1⅄ᐱ(Un2/Fn1), ∈1⅄ᐱ(Un2/Gn1), ∈1⅄ᐱ(Un1/Hn1), ∈1⅄ᐱ(Un1/In1), ∈1⅄ᐱ(Un2/Jn1), ∈1⅄ᐱ(Un2/Kn1), ∈1⅄ᐱ(Un2/Ln1), ∈1⅄ᐱ(Un2/Mn1), ∈1⅄ᐱ(Un2/Nn1), ∈1⅄ᐱ(Un2/On1), ∈1⅄ᐱ(Un1/Pn1), ∈1⅄ᐱ(Un2/Qn1), ∈n1⅄ᐱ(Un2/Rn1), ∈1⅄ᐱ(Un2/Sn1), ∈1⅄ᐱ(Un2/Tn1), ∈1⅄ᐱ(Un2/Un1), ∈1⅄ᐱ(Un2/Vn1), ∈1⅄ᐱ(Un2/Wn1), ∈1⅄ᐱ(Un2/Yn1), ∈1⅄ᐱ(Un2/Zn1), ∈1⅄ᐱ(Un2/φn1), ∈1⅄ᐱ(Un2/Θn1), ∈1⅄ᐱ(Un2/Ψn1), ∈1⅄ᐱ(Un2cn/ᐱn1cn), ∈1⅄ᐱ(Un2cn/ᗑn1cn), ∈1⅄ᐱ(Un2cn/∘⧊°n1cn), ∈1⅄ᐱ(Un2cn/∘∇°n1cn)
∈1⅄ᐱ(Vn2/An1), ∈1⅄ᐱ(Vn2/Bn1), ∈1⅄ᐱ(Vn2/Dn1), ∈1⅄ᐱ(Vn2/En1), ∈1⅄ᐱ(Vn2/Fn1), ∈1⅄ᐱ(Vn2/Gn1), ∈1⅄ᐱ(Vn2/Hn1), ∈1⅄ᐱ(Vn2/In1), ∈1⅄ᐱ(Vn2/Jn1), ∈1⅄ᐱ(Vn2/Kn1), ∈1⅄ᐱ(Vn2/Ln1), ∈1⅄ᐱ(Vn2/Mn1), ∈1⅄ᐱ(Vn2/Nn1), ∈1⅄ᐱ(Vn2/On1), ∈1⅄ᐱ(Vn2/Pn1), ∈1⅄ᐱ(Vn2/Qn1), ∈1⅄ᐱ(Vn2/Rn1), ∈1⅄ᐱ(Vn2/Sn1), ∈1⅄ᐱ(Vn2/Tn1),∈1⅄ᐱ(Vn2/Un1), ∈1⅄ᐱ(Vn2/Vn1), ∈1⅄ᐱ(Vn2/Wn1), ∈1⅄ᐱ(Vn2/Yn1), ∈1⅄ᐱ(Vn2/Zn1), ∈1⅄ᐱ(Vn2/φn1), ∈1⅄ᐱ(Vn2/Θn1), ∈1⅄ᐱ(Vn2/Ψn1), ∈1⅄ᐱ(Vn2cn/ᐱn1cn), ∈1⅄ᐱ(Vn2cn/ᗑn1cn), ∈1⅄ᐱ(Vn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Vn2cn/∘∇°n1cn)
∈1⅄ᐱ(Wn2/An1), ∈1⅄ᐱ(Wn2/Bn1), ∈1⅄ᐱ(Wn2/Dn1), ∈1⅄ᐱ(Wn2/En1), ∈1⅄ᐱ(Wn2/Fn1), ∈1⅄ᐱ(Wn2/Gn1), ∈1⅄ᐱ(Wn2/Hn1), ∈1⅄ᐱ(Wn2/In1), ∈1⅄ᐱ(Wn2/Jn1), ∈1⅄ᐱ(Wn2/Kn1), ∈1⅄ᐱ(Wn2/Ln1), ∈1⅄ᐱ(Wn2/Mn1), ∈1⅄ᐱ(Wn2/Nn1), ∈1⅄ᐱ(Wn2/On1), ∈1⅄ᐱ(Wn2/Pn1), ∈1⅄ᐱ(Wn2/Qn1), ∈1⅄ᐱ(Wn2/Rn1), ∈1⅄ᐱ(Wn2/Sn1), ∈1⅄ᐱ(Wn2/Tn1),∈1⅄ᐱ(Wn2/Un1), ∈1⅄ᐱ(Wn2/Vn1), ∈1⅄ᐱ(Wn2/Wn1), ∈1⅄ᐱ(Wn2/Yn1), ∈1⅄ᐱ(Wn2/Zn1), ∈1⅄ᐱ(Wn2/φn1), ∈1⅄ᐱ(Wn2/Θn1), ∈1⅄ᐱ(Wn2/Ψn1), ∈1⅄ᐱ(Wn2cn/ᐱn1cn), ∈1⅄ᐱ(Wn2cn/ᗑn1cn), ∈1⅄ᐱ(Wn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Wn2cn/∘∇°n1cn)
∈1⅄ᐱ(Yn2/An1), ∈1⅄ᐱ(Yn2/Bn1), ∈1⅄ᐱ(Yn2/Dn1), ∈1⅄ᐱ(Yn2/En1), ∈1⅄ᐱ(Yn2/Fn1), ∈1⅄ᐱ(Yn2/Gn1), ∈1⅄ᐱ(Yn2/Hn1), ∈1⅄ᐱ(Yn2/In1), ∈1⅄ᐱ(Yn2/Jn1), ∈1⅄ᐱ(Yn2/Kn1), ∈1⅄ᐱ(Yn2/Ln1), ∈1⅄ᐱ(Yn2/Mn1), ∈1⅄ᐱ(Yn2/Nn1), ∈1⅄ᐱ(Yn2/On1), ∈1⅄ᐱ(Yn2/Pn1), ∈1⅄ᐱ(Yn2/Qn1), ∈1⅄ᐱ(Yn2/Rn1), ∈1⅄ᐱ(Yn2/Sn1), ∈1⅄ᐱ(Yn2/Tn1),∈1⅄ᐱ(Yn2/Un1), ∈1⅄ᐱ(Yn2/Vn1), ∈1⅄ᐱ(Yn2Wn1), ∈1⅄ᐱ(Yn2/Yn1), ∈1⅄ᐱ(Yn2/Zn1), ∈1⅄ᐱ(Yn2/φn1), ∈1⅄ᐱ(Yn2/Θn1), ∈1⅄ᐱ(Yn2/Ψn1), ∈1⅄ᐱ(Yn2cn/ᐱn1cn), ∈1⅄ᐱ(Yn2cn/ᗑn1cn), ∈1⅄ᐱ(Yn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Yn2cn/∘∇°n1cn)
∈1⅄ᐱ(Zn2/An1), ∈1⅄ᐱ(Zn2/Bn1), ∈1⅄ᐱ(Zn2/Dn1), ∈1⅄ᐱ(Zn2/En1), ∈1⅄ᐱ(Zn2/Fn1), ∈1⅄ᐱ(Zn2/Gn1), ∈1⅄ᐱ(Zn2/Hn1), ∈1⅄ᐱ(Zn2/In1), ∈1⅄ᐱ(Zn2/Jn1), ∈1⅄ᐱ(Zn2/Kn1), ∈1⅄ᐱ(Zn2/Ln1), ∈1⅄ᐱ(Zn2/Mn1), ∈1⅄ᐱ(Zn2/Nn1), ∈1⅄ᐱ(Zn2/On1), ∈1⅄ᐱ(Zn2/Pn1), ∈1⅄ᐱ(Zn2/Qn1), ∈1⅄ᐱ(Zn2/Rn1), ∈1⅄ᐱ(Zn2/Sn1), ∈1⅄ᐱ(Zn2/Tn1),∈1⅄ᐱ(Zn2/Un1), ∈1⅄ᐱ(Zn2/Vn1), ∈1⅄ᐱ(Zn2/Wn1), ∈1⅄ᐱ(Zn2/Yn1), ∈1⅄ᐱ(Zn2/Zn1), ∈1⅄ᐱ(Zn2/φn1), ∈1⅄ᐱ(Zn2/Θn1), ∈1⅄ᐱ(Zn2/Ψn1), ∈1⅄ᐱ(Zn2cn/ᐱn1cn), ∈1⅄ᐱ(Zn2cn/ᗑn1cn), ∈1⅄ᐱ(Zn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Zn2cn/∘∇°n1cn)
∈1⅄ᐱ(φn2/An1), ∈1⅄ᐱ(φn2/Bn1), ∈1⅄ᐱ(φn2/Dn1), ∈1⅄ᐱ(φn2/En1), ∈1⅄ᐱ(φn2/Fn1), ∈1⅄ᐱ(φn2/Gn1), ∈1⅄ᐱ(φn2/Hn1), ∈1⅄ᐱ(φn2/In1), ∈1⅄ᐱ(φn2/Jn1), ∈1⅄ᐱ(φn2/Kn1), ∈1⅄ᐱ(φn2/Ln1), ∈1⅄ᐱ(φn2/Mn1), ∈1⅄ᐱ(φn2/Nn1), ∈1⅄ᐱ(φn2/On1), ∈1⅄ᐱ(φn2/Pn1), ∈1⅄ᐱ(φn2/Qn1), ∈1⅄ᐱ(φn2/Rn1), ∈1⅄ᐱ(φn2/Sn1), ∈1⅄ᐱ(φn2/Tn1),∈1⅄ᐱ(φn2/Un1), ∈1⅄ᐱ(φn2/Vn1), ∈1⅄ᐱ(φn2/Wn1), ∈1⅄ᐱ(φn2/Yn1), ∈1⅄ᐱ(φn2/Zn1), ∈1⅄ᐱ(φn2/φn1), ∈1⅄ᐱ(φn2/Θn1), ∈1⅄ᐱ(φn2/Ψn1), ∈1⅄ᐱ(φn2cn/ᐱn1cn), ∈1⅄ᐱ(φn2cn/ᗑn1cn), ∈1⅄ᐱ(φn2cn/∘⧊°n1cn), ∈1⅄ᐱ(φn2cn/∘∇°n1cn)
∈1⅄ᐱ(Θn2/An1), ∈1⅄ᐱ(Θn2/Bn1), ∈1⅄ᐱ(Θn2/Dn1), ∈1⅄ᐱ(Θn2/En1), ∈1⅄ᐱ(Θn2/Fn1), ∈1⅄ᐱ(Θn2/Gn1), ∈1⅄ᐱ(Θn2/Hn1), ∈1⅄ᐱ(Θn2/In1), ∈1⅄ᐱ(Θn2/Jn1), ∈1⅄ᐱ(Θn2/Kn1), ∈1⅄ᐱ(Θn2/Ln1), ∈1⅄ᐱ(Θn2/Mn1), ∈1⅄ᐱ(Θn2/Nn1), ∈1⅄ᐱ(Θn2/On1), ∈1⅄ᐱ(Θn2/Pn1), ∈1⅄ᐱ(Θn2/Qn1), ∈1⅄ᐱ(Θn2/Rn1), ∈1⅄ᐱ(Θn2/Sn1), ∈1⅄ᐱ(Θn2/Tn1),∈1⅄ᐱ(Θn2/Un1), ∈1⅄ᐱ(Θn2/Vn1), ∈1⅄ᐱ(Θn2/Wn1), ∈1⅄ᐱ(Θn2/Yn1), ∈1⅄ᐱ(Θn2/Zn1), ∈1⅄ᐱ(Θn2/φn1), ∈1⅄ᐱ(Θn2/Θn1), ∈1⅄ᐱ(Θn2/Ψn1), ∈1⅄ᐱ(Θn2cn/ᐱn1cn), ∈1⅄ᐱ(Θn2cn/ᗑn1cn), ∈1⅄ᐱ(Θn2cn/∘⧊°n1cn), ∈1⅄ᐱ(Θn2cn/∘∇°n1cn)
∈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⅄
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.
Function path 2⅄=(nn1cn/nn2cn) is nn1cn previous number in a set of consecutive variables divided by nn2cn later number in a set of consecutive variables, such that nncn is a number or variable with a repeating or not repeating decimal stem cycle variant.
∈2⅄ᐱ(An1/An2), ∈2⅄ᐱ(An1/Bn2), ∈2⅄ᐱ(An1/Dn2), ∈2⅄ᐱ(An1/En2), ∈2⅄ᐱ(An1/Fn2), ∈2⅄ᐱ(An1/Gn2), ∈2⅄ᐱ(An1/Hn2), ∈2⅄ᐱ(An1/In2), ∈2⅄ᐱ(An1/Jn2), ∈2⅄ᐱ(An1/Kn2), ∈2⅄ᐱ(An1/Ln2), ∈2⅄ᐱ(An1/Mn2), ∈2⅄ᐱ(An1/Nn2), ∈2⅄ᐱ(An1/On2), ∈2⅄ᐱ(An1/Pn2), ∈2⅄ᐱ(An1/Qn2), ∈2⅄ᐱ(An1/Rn2), ∈2⅄ᐱ(An1/Sn2), ∈2⅄ᐱ(An1/Tn2),∈2⅄ᐱ(An1/Un2), ∈2⅄ᐱ(An1/Vn2), ∈2⅄ᐱ(An1/Wn2), ∈2⅄ᐱ(An1/Yn2), ∈2⅄ᐱ(An1/Zn2), ∈2⅄ᐱ(An1/φn2), ∈2⅄ᐱ(An1/Θn2), ∈2⅄ᐱ(An1/Ψn2), ∈2⅄ᐱ(An1cn/ᐱn2cn), ∈2⅄ᐱ(An1cn/ᗑn2cn), ∈2⅄ᐱ(An1cn/∘⧊°n2cn), ∈2⅄ᐱ(An1cn/∘∇°n2cn)
∈2⅄ᐱ(Bn1/An2), ∈2⅄ᐱ(Bn1/Bn2), ∈2⅄ᐱ(Bn1/Dn2), ∈2⅄ᐱ(Bn1/En2), ∈2⅄ᐱ(Bn1/Fn2), ∈2⅄ᐱ(Bn1/Gn2), ∈2⅄ᐱ(Bn1/Hn2), ∈2⅄ᐱ(Bn1/In2), ∈2⅄ᐱ(Bn1/Jn2), ∈2⅄ᐱ(Bn1/Kn2), ∈2⅄ᐱ(Bn1/Ln2), ∈2⅄ᐱ(Bn1/Mn2), ∈2⅄ᐱ(Bn1/Nn2), ∈2⅄ᐱ(Bn1/On2), ∈2⅄ᐱ(Bn1/Pn2), ∈2⅄ᐱ(Bn1/Qn2), ∈2⅄ᐱ(Bn1/Rn2), ∈2⅄ᐱ(Bn1/Sn2), ∈2⅄ᐱ(Bn1/Tn2),∈2⅄ᐱ(Bn1/Un2), ∈2⅄ᐱ(Bn1/Vn2), ∈2⅄ᐱ(Bn1/Wn2), ∈2⅄ᐱ(Bn1/Yn2), ∈2⅄ᐱ(Bn1/Zn2), ∈2⅄ᐱ(Bn1/φn2), ∈2⅄ᐱ(Bn1/Θn2), ∈2⅄ᐱ(Bn1/Ψn2), ∈2⅄ᐱ(Bn1cn/ᐱn2cn), ∈2⅄ᐱ(Bn1cn/ᗑn2cn), ∈2⅄ᐱ(Bn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Bn1cn/∘∇°n2cn)
∈2⅄ᐱ(Dn1/An2), ∈2⅄ᐱ(Dn1/Bn2), ∈2⅄ᐱ(Dn1/Dn2), ∈2⅄ᐱ(Dn1/En2), ∈2⅄ᐱ(Dn1/Fn2), ∈2⅄ᐱ(Dn1/Gn2), ∈2⅄ᐱ(Dn1/Hn2), ∈2⅄ᐱ(Dn1/In2), ∈2⅄ᐱ(Dn1/Jn2), ∈2⅄ᐱ(Dn1/Kn2), ∈2⅄ᐱ(Dn1/Ln2), ∈2⅄ᐱ(Dn1/Mn2), ∈2⅄ᐱ(Dn1/Nn2), ∈2⅄ᐱ(Dn1/On2), ∈2⅄ᐱ(Dn1/Pn2), ∈2⅄ᐱ(Dn1/Qn2), ∈2⅄ᐱ(Dn1/Rn2), ∈2⅄ᐱ(Dn1/Sn2), ∈2⅄ᐱ(Dn1/Tn2),∈2⅄ᐱ(Dn1/Un2), ∈2⅄ᐱ(Dn1/Vn2), ∈2⅄ᐱ(Dn1/Wn2), ∈2⅄ᐱ(Dn1/Yn2), ∈2⅄ᐱ(Dn1/Zn2), ∈2⅄ᐱ(Dn1/φn2), ∈2⅄ᐱ(Dn1/Θn2), ∈2⅄ᐱ(Dn1/Ψn2), ∈2⅄ᐱ(Dn1cn/ᐱn2cn), ∈2⅄ᐱ(Dn1cn/ᗑn2cn), ∈2⅄ᐱ(Dn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Dn1cn/∘∇°n2cn)
∈2⅄ᐱ(En1/An2), ∈2⅄ᐱ(En1/Bn2), ∈2⅄ᐱ(En1/Dn2), ∈2⅄ᐱ(En1/En2), ∈2⅄ᐱ(En1/Fn2), ∈2⅄ᐱ(En1/Gn2), ∈2⅄ᐱ(En1/Hn2), ∈2⅄ᐱ(En1/In2), ∈2⅄ᐱ(En1/Jn2), ∈2⅄ᐱ(En1/Kn2), ∈2⅄ᐱ(En1/Ln2), ∈2⅄ᐱ(En1/Mn2), ∈2⅄ᐱ(En1/Nn2), ∈2⅄ᐱ(En1/On2), ∈2⅄ᐱ(En1/Pn2), ∈2⅄ᐱ(En1/Qn2), ∈2⅄ᐱ(En1/Rn2), ∈2⅄ᐱ(En1/Sn2), ∈2⅄ᐱ(En1/Tn2),∈2⅄ᐱ(En1/Un2), ∈2⅄ᐱ(En1/Vn2), ∈2⅄ᐱ(En1/Wn2), ∈2⅄ᐱ(En1/Yn2), ∈2⅄ᐱ(En1/Zn2), ∈2⅄ᐱ(En1/φn2), ∈2⅄ᐱ(En1/Θn2), ∈2⅄ᐱ(En1/Ψn2), ∈2⅄ᐱ(En1cn/ᐱn2cn), ∈2⅄ᐱ(En1cn/ᗑn2cn), ∈2⅄ᐱ(En1cn/∘⧊°n2cn), ∈2⅄ᐱ(En1cn/∘∇°n2cn)
∈2⅄ᐱ(Fn1/An2), ∈2⅄ᐱ(Fn1/Bn2), ∈2⅄ᐱ(Fn1/Dn2), ∈2⅄ᐱ(Fn1/En2), ∈2⅄ᐱ(Fn1/Fn2), ∈2⅄ᐱ(Fn1/Gn2), ∈2⅄ᐱ(Fn1/Hn2), ∈2⅄ᐱ(Fn1/In2), ∈2⅄ᐱ(Fn1/Jn2), ∈2⅄ᐱ(Fn1/Kn2), ∈2⅄ᐱ(Fn1/Ln2), ∈2⅄ᐱ(Fn1/Mn2), ∈2⅄ᐱ(Fn1/Nn2), ∈2⅄ᐱ(Fn1/On2), ∈2⅄ᐱ(Fn1/Pn2), ∈2⅄ᐱ(Fn1/Qn2), ∈2⅄ᐱ(Fn1/Rn2), ∈2⅄ᐱ(Fn1/Sn2), ∈2⅄ᐱ(Fn1/Tn2),∈2⅄ᐱ(Fn1/Un2), ∈2⅄ᐱ(Fn1/Vn2), ∈2⅄ᐱ(Fn1/Wn2), ∈2⅄ᐱ(Fn1/Yn2), ∈2⅄ᐱ(Fn1/Zn2), ∈2⅄ᐱ(Fn1/φn2), ∈2⅄ᐱ(Fn1/Θn2), ∈2⅄ᐱ(Fn1/Ψn2), ∈2⅄ᐱ(Fn1cn/ᐱn2cn), ∈2⅄ᐱ(Fn1cn/ᗑn2cn), ∈2⅄ᐱ(Fn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Fn1cn/∘∇°n2cn)
∈2⅄ᐱ(Gn1/An2), ∈2⅄ᐱ(Gn1/Bn2), ∈2⅄ᐱ(Gn1/Dn2), ∈2⅄ᐱ(Gn1/En2), ∈2⅄ᐱ(Gn1/Fn2), ∈2⅄ᐱ(Gn1/Gn2), ∈2⅄ᐱ(Gn1/Hn2), ∈2⅄ᐱ(Gn1/In2), ∈2⅄ᐱ(Gn1/Jn2), ∈2⅄ᐱ(Gn1/Kn2), ∈2⅄ᐱ(Gn1/Ln2), ∈2⅄ᐱ(Gn1/Mn2), ∈2⅄ᐱ(Gn1/Nn2), ∈2⅄ᐱ(Gn1/On2), ∈2⅄ᐱ(Gn1/Pn2), ∈2⅄ᐱ(Gn1/Qn2), ∈2⅄ᐱ(Gn1/Rn2), ∈2⅄ᐱ(Gn1/Sn2), ∈2⅄ᐱ(Gn1/Tn2),∈2⅄ᐱ(Gn1/Un2), ∈2⅄ᐱ(Gn1/Vn2), ∈2⅄ᐱ(Gn1/Wn2), ∈2⅄ᐱ(Gn1/Yn2), ∈2⅄ᐱ(Gn1/Zn2), ∈2⅄ᐱ(Gn1/φn2), ∈2⅄ᐱ(Gn1/Θn2), ∈2⅄ᐱ(Gn1/Ψn2), ∈2⅄ᐱ(Gn1cn/ᐱn2cn), ∈2⅄ᐱ(Gn1cn/ᗑn2cn), ∈2⅄ᐱ(Gn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Gn1cn/∘∇°n2cn)
∈2⅄ᐱ(Hn1/An2), ∈2⅄ᐱ(Hn1/Bn2), ∈2⅄ᐱ(Hn1/Dn2), ∈2⅄ᐱ(Hn1/En2), ∈2⅄ᐱ(Hn1/Fn2), ∈2⅄ᐱ(Hn1/Gn2), ∈2⅄ᐱ(Hn1/Hn2), ∈2⅄ᐱ(Hn1/In2), ∈2⅄ᐱ(Hn1/Jn2), ∈2⅄ᐱ(Hn1/Kn2), ∈2⅄ᐱ(Hn1/Ln2), ∈2⅄ᐱ(Hn1/Mn2), ∈2⅄ᐱ(Hn1/Nn2), ∈2⅄ᐱ(Hn1/On2), ∈2⅄ᐱ(Hn1/Pn2), ∈2⅄ᐱ(Hn1/Qn2), ∈2⅄ᐱ(Hn1/Rn2), ∈2⅄ᐱ(Hn1/Sn2), ∈2⅄ᐱ(Hn1/Tn2),∈2⅄ᐱ(Hn1/Un2), ∈2⅄ᐱ(Hn1/Vn2), ∈2⅄ᐱ(Hn1/Wn2), ∈2⅄ᐱ(Hn1/Yn2), ∈2⅄ᐱ(Hn1/Zn2), ∈2⅄ᐱ(Hn1/φn2), ∈2⅄ᐱ(Hn1/Θn2), ∈2⅄ᐱ(Hn1/Ψn2), ∈2⅄ᐱ(Hn1cn/ᐱn2cn), ∈2⅄Xᐱ(Hn1cn/ᗑn2cn), ∈2⅄ᐱ(Hn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Hn1cn/∘∇°n2cn)
∈2⅄ᐱ(In1/An2), ∈2⅄ᐱ(In1/Bn2), ∈2⅄ᐱ(In1/Dn2), ∈2⅄ᐱ(In1/En2), ∈2⅄ᐱ(In1/Fn2), ∈2⅄ᐱ(In1/Gn2), ∈2⅄ᐱ(In1/Hn2), ∈2⅄ᐱ(In1/In2), ∈2⅄ᐱ(In1/Jn2), ∈2⅄ᐱ(In1/Kn2), ∈2⅄ᐱ(In1/Ln2), ∈2⅄ᐱ(In1/Mn2), ∈2⅄ᐱ(In1/Nn2), ∈2⅄ᐱ(In1/On2), ∈2⅄ᐱ(In1/Pn2), ∈2⅄ᐱ(In1/Qn2), ∈2⅄ᐱ(In1/Rn2), ∈2⅄ᐱ(In1/Sn2), ∈2⅄ᐱ(In1/Tn2),∈2⅄ᐱ(In1/Un2), ∈2⅄ᐱ(In1/Vn2), ∈2⅄ᐱ(In1/Wn2), ∈2⅄ᐱ(In1/Yn2), ∈2⅄ᐱ(In1/Zn2), ∈2⅄ᐱ(In1/φn2), ∈2⅄ᐱ(In1/Θn2), ∈2⅄ᐱ(In1/Ψn2), ∈2⅄ᐱ(In1cn/ᐱn2cn), ∈2⅄ᐱ(In1cn/ᗑn2cn), ∈2⅄ᐱ(In1cn/∘⧊°n2cn), ∈2⅄ᐱ(In1cn/∘∇°n2cn)
∈2⅄ᐱ(Jn1/An2), ∈2⅄ᐱ(Jn1/Bn2), ∈2⅄ᐱ(Jn1/Dn2), ∈2⅄ᐱ(Jn1/En2), ∈2⅄ᐱ(Jn1/Fn2), ∈2⅄ᐱ(Jn1/Gn2), ∈2⅄ᐱ(Jn1/Hn2), ∈2⅄ᐱ(Jn1/In2), ∈2⅄ᐱ(Jn1/Jn2), ∈2⅄ᐱ(Jn1/Kn2), ∈2⅄ᐱ(Jn1/Ln2), ∈2⅄ᐱ(Jn1/Mn2), ∈2⅄ᐱ(Jn1/Nn2), ∈2⅄ᐱ(Jn1/On2), ∈2⅄ᐱ(Jn1/Pn2), ∈2⅄ᐱ(Jn1/Qn2), ∈2⅄ᐱ(Jn1/Rn2), ∈2⅄ᐱ(Jn1/Sn2), ∈2⅄ᐱ(Jn1/Tn2),∈2⅄ᐱ(Jn1/Un2), ∈2⅄ᐱ(Jn1/Vn2), ∈2⅄ᐱ(Jn1/Wn2), ∈2⅄ᐱ(Jn1/Yn2), ∈2⅄ᐱ(Jn1/Zn2), ∈2⅄ᐱ(Jn1/φn2), ∈2⅄ᐱ(Jn1/Θn2), ∈2⅄ᐱ(Jn1/Ψn2), ∈2⅄ᐱ(Jn1cn/ᐱn2cn), ∈2⅄ᐱ(Jn1cn/ᗑn2cn), ∈2⅄ᐱ(Jn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Jn1cn/∘∇°n2cn)
∈2⅄ᐱ(Kn1/An2), ∈2⅄ᐱ(Kn1/Bn2), ∈2⅄ᐱ(Kn1/Dn2), ∈2⅄ᐱ(Kn1/En2), ∈2⅄ᐱ(Kn1/Fn2), ∈2⅄ᐱ(Kn1/Gn2), ∈2⅄ᐱ(Kn1/Hn2), ∈2⅄ᐱ(Kn1/In2), ∈2⅄ᐱ(Kn1/Jn2), ∈2⅄ᐱ(Kn1/Kn2), ∈2⅄ᐱ(Kn1/Ln2), ∈2⅄ᐱ(Kn1/Mn2), ∈2⅄ᐱ(Kn1/Nn2), ∈2⅄ᐱ(Kn1/On2), ∈2⅄ᐱ(Kn1/Pn2), ∈2⅄ᐱ(Kn1/Qn2), ∈2⅄ᐱ(Kn1/Rn2), ∈2⅄ᐱ(Kn1/Sn2), ∈2⅄ᐱ(Kn1/Tn2),∈2⅄ᐱ(Kn1/Un2), ∈2⅄ᐱ(Kn1/Vn2), ∈2⅄ᐱ(Kn1/Wn2), ∈2⅄ᐱ(Kn1/Yn2), ∈2⅄ᐱ(Kn1/Zn2), ∈2⅄ᐱ(Kn1/φn2), ∈2⅄ᐱ(Kn1/Θn2), ∈2⅄ᐱ(Kn1/Ψn2), ∈2⅄ᐱ(Kn1cn/ᐱn2cn), ∈2⅄ᐱ(Kn1cn/ᗑn2cn), ∈2⅄ᐱ(Kn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Kn1cn/∘∇°n2cn)
∈2⅄ᐱ(Ln1/An2), ∈2⅄ᐱ(Ln1/Bn2), ∈2⅄ᐱ(Ln1/Dn2), ∈2⅄ᐱ(Ln1/En2), ∈2⅄ᐱ(Ln1/Fn2), ∈2⅄ᐱ(Ln1/Gn2), ∈2⅄ᐱ(Ln1/Hn2), ∈2⅄ᐱ(Ln1/In2), ∈2⅄ᐱ(Ln1/Jn2), ∈2⅄ᐱ(Ln1/Kn2), ∈2⅄ᐱ(Ln1/Ln2), ∈2⅄ᐱ(Ln1/Mn2), ∈2⅄ᐱ(Ln1/Nn2), ∈2⅄ᐱ(Ln1/On2), ∈2⅄ᐱ(Ln1/Pn2), ∈2⅄ᐱ(Ln1/Qn2), ∈2⅄ᐱ(Ln1/Rn2), ∈2⅄ᐱ(Ln1/Sn2), ∈2⅄ᐱ(Ln1/Tn2),∈2⅄ᐱ(Ln1/Un2), ∈2⅄ᐱ(Ln1/Vn2), ∈2⅄ᐱ(Ln1/Wn2), ∈2⅄ᐱ(Ln1/Yn2), ∈2⅄ᐱ(Ln1/Zn2), ∈2⅄ᐱ(Ln1/φn2), ∈2⅄ᐱ(Ln1/Θn1)), ∈2⅄ᐱ(Ln1/Ψn2), ∈2⅄ᐱ(Ln1cn/ᐱn2cn), ∈2⅄ᐱ(Ln1cn/ᗑn2cn), ∈2⅄ᐱ(Ln1cn/∘⧊°n2cn), ∈2⅄ᐱ(Ln1cn/∘∇°n2cn)
∈2⅄ᐱ(Mn1/An2), ∈2⅄ᐱ(Mn1/Bn2), ∈2⅄ᐱ(Mn1/Dn2), ∈2⅄ᐱ(Mn1/En2), ∈2⅄ᐱ(Mn1/Fn2), ∈2⅄ᐱ(Mn1/Gn2), ∈2⅄ᐱ(Mn1/Hn2), ∈2⅄ᐱ(Mn1/In2), ∈2⅄ᐱ(Mn1/Jn2), ∈2⅄ᐱ(Mn1/Kn2), ∈2⅄ᐱ(Mn1/Ln2), ∈2⅄ᐱ(Mn1/Mn2), ∈2⅄ᐱ(Mn1/Nn2), ∈2⅄ᐱ(Mn1/On2), ∈2⅄ᐱ(Mn1/Pn2), ∈2⅄ᐱ(Mn1/Qn2), ∈2⅄ᐱ(Mn1/Rn2), ∈2⅄ᐱ(Mn1/Sn2), ∈2⅄ᐱ(Mn1/Tn2),∈2⅄ᐱ(Mn1/Un2), ∈2⅄ᐱ(Mn1/Vn2), ∈2⅄ᐱ(Mn1/Wn2), ∈2⅄ᐱ(Mn1/Yn2), ∈2⅄ᐱ(Mn1/Zn2), ∈2⅄ᐱ(Mn1/φn2), ∈2⅄ᐱ(Mn1/Θn2), ∈2⅄ᐱ(Mn1/Ψn2), ∈2⅄ᐱ(Mn1cn/ᐱn2cn), ∈2⅄ᐱ(Mn1cn/ᗑn2cn), ∈2⅄ᐱ(Mn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Mn1cn/∘∇°n2cn)
∈2⅄ᐱ(Nn1/An2), ∈2⅄ᐱ(Nn1/Bn2), ∈2⅄ᐱ(Nn1/Dn2), ∈2⅄ᐱ(Nn1/En2), ∈2⅄ᐱ(Nn1/Fn2), ∈2⅄ᐱ(Nn1/Gn2), ∈2⅄ᐱ(Nn1/Hn2), ∈2⅄ᐱ(Nn1/In2), ∈2⅄ᐱ(Nn1/Jn2), ∈2⅄ᐱ(Nn1/Kn2), ∈2⅄ᐱ(Nn1/Ln2), ∈2⅄ᐱ(Nn1/Mn2), ∈2⅄ᐱ(Nn1/Nn2), ∈2⅄ᐱ(Nn1/On2), ∈2⅄ᐱ(Nn1/Pn2), ∈2⅄ᐱ(Nn1/Qn2), ∈2⅄ᐱ(Nn1/Rn2), ∈2⅄ᐱ(Nn1/Sn2), ∈2⅄ᐱ(Nn1/Tn2),∈2⅄ᐱ(Nn1/Un2), ∈2⅄ᐱ(Nn1/Vn2), ∈2⅄ᐱ(Nn1/Wn2), ∈2⅄ᐱ(Nn1/Yn2), ∈2⅄ᐱ(Nn1/Zn2), ∈2⅄ᐱ(Nn1/φn2), ∈2⅄ᐱ(Nn1/Θn2), ∈2⅄ᐱ(Nn1/Ψn2), ∈2⅄ᐱ(Nn1cn/ᐱn2cn), ∈2⅄ᐱ(Nn1cn/ᗑn2cn), ∈2⅄ᐱ(Nn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Nn1cn/∘∇°n2cn)
∈2⅄ᐱ(On1/An2), ∈2⅄ᐱ(On1/Bn2), ∈2⅄ᐱ(On1/Dn2), ∈2⅄ᐱ(On1/En2), ∈2⅄ᐱ(On1/Fn2), ∈2⅄ᐱ(On1/Gn2), ∈2⅄ᐱ(On1/Hn2), ∈2⅄ᐱ(On1/In2), ∈2⅄ᐱ(On1/Jn2), ∈2⅄ᐱ(On1/Kn2), ∈2⅄ᐱ(On1/Ln2), ∈2⅄ᐱ(On1/Mn2), ∈2⅄ᐱ(On1/Nn2), ∈2⅄ᐱ(On1/On2), ∈2⅄ᐱ(On1/Pn2), ∈2⅄ᐱ(On1/Qn2), ∈2⅄ᐱ(On1/Rn2), ∈2⅄ᐱ(On1/Sn2), ∈2⅄ᐱ(On1/Tn2),∈2⅄ᐱ(On1/Un2), ∈2⅄ᐱ(On1/Vn2), ∈2⅄ᐱ(On1/Wn2), ∈2⅄ᐱ(On1/Yn2), ∈2⅄ᐱ(On1/Zn2), ∈2⅄ᐱ(On1/φn2), ∈2⅄ᐱ(On1/Θn2), ∈2⅄ᐱ(On1/Ψn2), ∈2⅄ᐱ(On1cn/ᐱn2cn), ∈2⅄ᐱ(On1cn/ᗑn2cn), ∈2⅄ᐱ(On1cn/∘⧊°n2cn), ∈2⅄ᐱ(On1cn/∘∇°n2cn)
∈2⅄ᐱ(Pn1/An2), ∈2⅄ᐱ(Pn1/Bn2), ∈2⅄ᐱ(Pn1/Dn2), ∈2⅄ᐱ(Pn1/En2), ∈2⅄ᐱ(Pn1/Fn2), ∈2⅄ᐱ(Pn1/Gn2), ∈2⅄ᐱ(Pn1/Hn2), ∈2⅄ᐱ(Pn1/In2), ∈2⅄ᐱ(Pn1/Jn2), ∈2⅄ᐱ(Pn1/Kn2), ∈2⅄ᐱ(Pn1/Ln2), ∈2⅄ᐱ(Pn1/Mn2), ∈2⅄ᐱ(Pn1/Nn2), ∈2⅄ᐱ(Pn1/On2), ∈2⅄ᐱ(Pn1/Pn2), ∈2⅄ᐱ(Pn1/Qn2), ∈2⅄ᐱ(Pn1/Rn2), ∈2⅄ᐱ(Pn1/Sn2), ∈2⅄ᐱ(Pn1/Tn2),∈2⅄ᐱ(Pn1/Un2), ∈2⅄ᐱ(Pn1/Vn2), ∈2⅄ᐱ(Pn1/Wn2), ∈2⅄ᐱ(Pn1/Yn2), ∈2⅄ᐱ(Pn1/Zn2), ∈2⅄ᐱ(Pn1/φn2), ∈2⅄ᐱ(Pn1/Θn2), ∈2⅄ᐱ(Pn1/Ψn2), ∈2⅄ᐱ(Pn1cn/ᐱn2cn), ∈2⅄ᐱ(Pn1cn/ᗑn2cn), ∈2⅄ᐱ(Pn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Pn1cn/∘∇°n2cn)
∈2⅄ᐱ(Qn1/An2), ∈2⅄ᐱ(Qn1/Bn2), ∈2⅄ᐱ(Qn1/Dn2), ∈2⅄ᐱ(Qn1/En2), ∈2⅄ᐱ(Qn1/Fn2), ∈2⅄ᐱ(Qn1/Gn2), ∈2⅄ᐱ(Qn1/Hn2), ∈2⅄ᐱ(Qn1/In2), ∈2⅄ᐱ(Qn1/Jn2), ∈2⅄ᐱ(Qn1/Kn2), ∈2⅄ᐱ(Qn1/Ln2), ∈2⅄ᐱ(Qn1/Mn2), ∈2⅄ᐱ(Qn1/Nn2), ∈2⅄ᐱ(Qn1/On2), ∈2⅄ᐱ(Qn1/Pn2), ∈2⅄ᐱ(Qn1/Qn2), ∈2⅄ᐱ(Qn1/Rn2), ∈2⅄ᐱ(Qn1/Sn2), ∈2⅄ᐱ(Qn1/Tn2),∈2⅄ᐱ(Qn1/Un2), ∈2⅄ᐱ(Qn1/Vn2), ∈2⅄ᐱ(Qn1/Wn2), ∈2⅄ᐱ(Qn1/Yn2), ∈2⅄ᐱ(Qn1/Zn2), ∈2⅄ᐱ(Qn1/φn2), ∈2⅄ᐱ(Qn1/Θn2), ∈2⅄ᐱ(Qn1/Ψn2), ∈2⅄ᐱ(Qn1cn/ᐱn2cn), ∈2⅄ᐱ(Qn1cn/ᗑn2cn), ∈2⅄ᐱ(Qn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Qn1cn/∘∇°n2cn)
∈2⅄ᐱ(Rn1/An2), ∈2⅄ᐱ(Rn1/Bn2), ∈2⅄ᐱ(Rn1/Dn2), ∈2⅄ᐱ(Rn1/En2), ∈2⅄ᐱ(Rn1/Fn2), ∈2⅄ᐱ(Rn1/Gn2), ∈2⅄ᐱ(Rn1/Hn2), ∈2⅄ᐱ(Rn1/In2), ∈2⅄ᐱ(Rn1/Jn2), ∈2⅄ᐱ(Rn1/Kn2), ∈2⅄ᐱ(Rn1/Ln2), ∈2⅄ᐱ(Rn1/Mn2), ∈2⅄ᐱ(Rn1/Nn2), ∈2⅄ᐱ(Rn1/On2), ∈2⅄ᐱ(Rn1/Pn2), ∈2⅄ᐱ(Rn1/Qn2), ∈2⅄ᐱ(Rn1/Rn2), ∈2⅄ᐱ(Rn1/Sn2), ∈2⅄ᐱ(Rn1/Tn2),∈2⅄ᐱ(Rn1/Un2), ∈2⅄ᐱ(Rn1/Vn2), ∈2⅄ᐱ(Rn1/Wn2), ∈2⅄ᐱ(Rn1/Yn2), ∈2⅄ᐱ(Rn1/Zn2), ∈2⅄ᐱ(Rn1/φn2), ∈2⅄ᐱ(Rn1/Θn2), ∈2⅄ᐱ(Rn1/Ψn2), ∈2⅄ᐱ(Rn1cn/ᐱn2cn), ∈2⅄ᐱ(Rn1cn/ᗑn2cn), ∈2⅄ᐱ(Rn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Rn1cn/∘∇°n2cn)
∈2⅄ᐱ(Sn1/An2), ∈2⅄ᐱ(Sn1/Bn2), ∈2⅄ᐱ(Sn1/Dn2), ∈2⅄ᐱ(Sn1/En2), ∈2⅄ᐱ(Sn1/Fn2), ∈2⅄ᐱ(Sn1/Gn2), ∈2⅄ᐱ(Sn1/Hn2), ∈2⅄ᐱ(Sn1/In2), ∈2⅄ᐱ(Sn1/Jn2), ∈2⅄ᐱ(Sn1/Kn2), ∈2⅄ᐱ(Sn1/Ln2), ∈2⅄ᐱ(Sn1/Mn2), ∈2⅄ᐱ(Sn1/Nn2), ∈2⅄ᐱ(Sn1/On2), ∈2⅄ᐱ(Sn1/Pn2), ∈2⅄ᐱ(Sn1/Qn2), ∈2⅄ᐱ(Sn1/Rn2), ∈2⅄ᐱ(Sn1/Sn2), ∈2⅄ᐱ(Sn1/Tn2),∈2⅄ᐱ(Sn1/Un2), ∈2⅄ᐱ(Sn1/Vn2), ∈2⅄ᐱ(Sn1/Wn2), ∈2⅄ᐱ(Sn1/Yn2), ∈2⅄ᐱ(Sn1/Zn2), ∈2⅄ᐱ(Sn1/φn2), ∈2⅄ᐱ(Sn1/Θn2), ∈2⅄ᐱ(Sn1/Ψn2), ∈2⅄ᐱ(Sn1cn/ᐱn2cn), ∈2⅄ᐱ(Sn1cn/ᗑn2cn), ∈2⅄ᐱ(Sn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Sn1cn/∘∇°n2cn)
∈2⅄ᐱ(Tn1/An2), ∈2⅄ᐱ(Tn1/Bn2), ∈2⅄ᐱ(Tn1/Dn2), ∈2⅄ᐱ(Tn1/En2), ∈2⅄ᐱ(Tn1/Fn2), ∈2⅄ᐱ(Tn1/Gn2), ∈2⅄ᐱ(Tn1/Hn2), ∈2⅄ᐱ(Tn1/In2), ∈2⅄ᐱ(Tn1/Jn2), ∈2⅄ᐱ(Tn1/Kn2), ∈2⅄ᐱ(Tn1/Ln2), ∈2⅄ᐱ(Tn1/Mn2), ∈2⅄ᐱ(Tn1/Nn2), ∈2⅄ᐱ(Tn1/On2), ∈2⅄ᐱ(Tn1/Pn2), ∈2⅄ᐱ(Tn1/Qn2), ∈2⅄ᐱ(Tn1/Rn2), ∈2⅄ᐱ(Tn1/Sn2), ∈2⅄ᐱ(Tn1/Tn2),∈2⅄ᐱ(Tn1/Un2), ∈2⅄ᐱ(Tn1/Vn2), ∈2⅄ᐱ(Tn1/Wn2), ∈2⅄ᐱ(Tn1/Yn2), ∈2⅄ᐱ(Tn1/Zn2), ∈2⅄ᐱ(Tn1/φn2), ∈2⅄ᐱ(Tn1/Θn2), ∈2⅄ᐱ(Tn1/Ψn2), ∈2⅄ᐱ(Tn1cn/ᐱn2cn), ∈2⅄ᐱ(Tn1cn/ᗑn2cn), ∈2⅄ᐱ(Tn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Tn1cn/∘∇°n2cn)
∈2⅄ᐱ(Un1/An2), ∈2⅄ᐱ(Un1/Bn2), ∈2⅄ᐱ(Un1/Dn2), ∈2⅄ᐱ(Un1/En2), ∈2⅄ᐱ(Un1/Fn2), ∈2⅄ᐱ(Un1/Gn2), ∈2⅄ᐱ(Un1/Hn2), ∈2⅄ᐱ(Un1/In2), ∈2⅄ᐱ(Un1/Jn2), ∈2⅄ᐱ(Un1/Kn2), ∈2⅄ᐱ(Un1/Ln2), ∈2⅄ᐱ(Un1/Mn2), ∈2⅄ᐱ(Un1/Nn2), ∈2⅄ᐱ(Un1/On2), ∈2⅄ᐱ(Un1/Pn2), ∈2⅄ᐱ(Un1/Qn2), ∈n2⅄ᐱ(Un1/Rn2), ∈2⅄ᐱ(Un1/Sn2), ∈2⅄ᐱ(Un1/Tn2), ∈2⅄ᐱ(Un1/Un2), ∈2⅄ᐱ(Un1/Vn2), ∈2⅄ᐱ(Un1/Wn2), ∈2⅄ᐱ(Un1/Yn2), ∈2⅄ᐱ(Un1/Zn2), ∈2⅄ᐱ(Un1/φn2), ∈2⅄ᐱ(Un1/Θn2), ∈2⅄ᐱ(Un1/Ψn2), ∈2⅄ᐱ(Un1cn/ᐱn2cn), ∈2⅄ᐱ(Un1cn/ᗑn2cn), ∈2⅄ᐱ(Un1cn/∘⧊°n2cn), ∈2⅄ᐱ(Un1cn/∘∇°n2cn)
∈2⅄ᐱ(Vn1/An2), ∈2⅄ᐱ(Vn1/Bn2), ∈2⅄ᐱ(Vn1/Dn2), ∈2⅄ᐱ(Vn1/En2), ∈2⅄ᐱ(Vn1/Fn2), ∈2⅄ᐱ(Vn1/Gn2), ∈2⅄ᐱ(Vn1/Hn2), ∈2⅄ᐱ(Vn1/In2), ∈2⅄ᐱ(Vn1/Jn2), ∈2⅄ᐱ(Vn1/Kn2), ∈2⅄ᐱ(Vn1/Ln2), ∈2⅄ᐱ(Vn1/Mn2), ∈2⅄ᐱ(Vn1/Nn2), ∈2⅄ᐱ(Vn1/On2), ∈2⅄ᐱ(Vn1/Pn2), ∈2⅄ᐱ(Vn1/Qn2), ∈2⅄ᐱ(Vn1/Rn2), ∈2⅄ᐱ(Vn1/Sn2), ∈2⅄ᐱ(Vn1/Tn2),∈2⅄ᐱ(Vn1/Un2), ∈2⅄ᐱ(Vn1/Vn2), ∈2⅄ᐱ(Vn1/Wn2), ∈2⅄ᐱ(Vn1/Yn2), ∈2⅄ᐱ(Vn1/Zn2), ∈2⅄ᐱ(Vn1/φn2), ∈2⅄ᐱ(Vn1/Θn2), ∈2⅄ᐱ(Vn1/Ψn2), ∈2⅄ᐱ(Vn1cn/ᐱn2cn), ∈2⅄ᐱ(Vn1cn/ᗑn2cn), ∈2⅄ᐱ(Vn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Vn1cn/∘∇°n2cn)
∈2⅄ᐱ(Wn1/An2), ∈2⅄ᐱ(Wn1/Bn2), ∈2⅄ᐱ(Wn1/Dn2), ∈2⅄ᐱ(Wn1/En2), ∈2⅄ᐱ(Wn1/Fn2), ∈2⅄ᐱ(Wn1/Gn2), ∈2⅄ᐱ(Wn1/Hn2), ∈2⅄ᐱ(Wn1/In2), ∈2⅄ᐱ(Wn1/Jn2), ∈2⅄ᐱ(Wn1/Kn2), ∈2⅄ᐱ(Wn1/Ln2), ∈2⅄ᐱ(Wn1/Mn2), ∈2⅄ᐱ(Wn1/Nn2), ∈2⅄ᐱ(Wn1/On2), ∈2⅄ᐱ(Wn1/Pn2), ∈2⅄ᐱ(Wn1/Qn2), ∈2⅄ᐱ(Wn1/Rn2), ∈2⅄ᐱ(Wn1/Sn2), ∈2⅄ᐱ(Wn1/Tn2),∈2⅄ᐱ(Wn1/Un2), ∈2⅄ᐱ(Wn1/Vn2), ∈2⅄ᐱ(Wn1/Wn2), ∈2⅄ᐱ(Wn1/Yn2), ∈2⅄ᐱ(Wn1/Zn2), ∈2⅄ᐱ(Wn1/φn2), ∈2⅄ᐱ(Wn1/Θn2), ∈2⅄ᐱ(Wn1/Ψn2), ∈2⅄ᐱ(Wn1cn/ᐱn2cn), ∈2⅄ᐱ(Wn1cn/ᗑn2cn), ∈2⅄ᐱ(Wn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Wn1cn/∘∇°n2cn)
∈2⅄ᐱ(Yn1/An2), ∈2⅄ᐱ(Yn1/Bn2), ∈2⅄ᐱ(Yn1/Dn2), ∈2⅄ᐱ(Yn1/En2), ∈2⅄ᐱ(Yn1/Fn2), ∈2⅄ᐱ(Yn1/Gn2), ∈2⅄ᐱ(Yn1/Hn2), ∈2⅄ᐱ(Yn1/In2), ∈2⅄ᐱ(Yn1/Jn2), ∈2⅄ᐱ(Yn1/Kn2), ∈2⅄ᐱ(Yn1/Ln2), ∈2⅄ᐱ(Yn1/Mn2), ∈2⅄ᐱ(Yn1/Nn2), ∈2⅄ᐱ(Yn1/On2), ∈2⅄ᐱ(Yn1/Pn2), ∈2⅄ᐱ(Yn1/Qn2), ∈2⅄ᐱ(Yn1/Rn2), ∈2⅄ᐱ(Yn1/Sn2), ∈2⅄ᐱ(Yn1/Tn2),∈2⅄ᐱ(Yn1/Un2), ∈2⅄ᐱ(Yn1/Vn2), ∈2⅄ᐱ(Yn1/Wn2), ∈2⅄ᐱ(Yn1/Yn2), ∈2⅄ᐱ(Yn1/Zn2), ∈2⅄ᐱ(Yn1/φn2), ∈2⅄ᐱ(Yn1/Θn2), ∈2⅄ᐱ(Yn1/Ψn2), ∈2⅄ᐱ(Yn1cn/ᐱn2cn), ∈2⅄ᐱ(Yn1cn/ᗑn2cn), ∈2⅄ᐱ(Yn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Yn1cn/∘∇°n2cn)
∈2⅄ᐱ(Zn1/An2), ∈2⅄ᐱ(Zn1/Bn2), ∈2⅄ᐱ(Zn1/Dn2), ∈2⅄ᐱ(Zn1/En2), ∈2⅄ᐱ(Zn1/Fn2), ∈2⅄ᐱ(Zn1/Gn2), ∈2⅄ᐱ(Zn1/Hn2), ∈2⅄ᐱ(Zn1/In2), ∈2⅄ᐱ(Zn1/Jn2), ∈2⅄ᐱ(Zn1/Kn2), ∈2⅄ᐱ(Zn1/Ln2), ∈2⅄ᐱ(Zn1/Mn2), ∈2⅄ᐱ(Zn1/Nn2), ∈2⅄ᐱ(Zn1/On2), ∈2⅄ᐱ(Zn1/Pn2), ∈2⅄ᐱ(Zn1/Qn2), ∈2⅄ᐱ(Zn1/Rn2), ∈2⅄ᐱ(Zn1/Sn2), ∈2⅄ᐱ(Zn1/Tn2),∈2⅄ᐱ(Zn1/Un2), ∈2⅄ᐱ(Zn1/Vn2), ∈2⅄ᐱ(Zn1/Wn2), ∈2⅄ᐱ(Zn1/Yn2), ∈2⅄ᐱ(Zn1/Zn2), ∈2⅄ᐱ(Zn1/φn2), ∈2⅄ᐱ(Zn1/Θn2), ∈2⅄ᐱ(Zn1/Ψn2), ∈2⅄ᐱ(Zn1cn/ᐱn2cn), ∈2⅄ᐱ(Zn1cn/ᗑn2cn), ∈2⅄ᐱ(Zn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Zn1cn/∘∇°n2cn)
∈2⅄ᐱ(φn1/An2), ∈2⅄ᐱ(φn1/Bn2), ∈2⅄ᐱ(φn1/Dn2), ∈2⅄ᐱ(φn1/En2), ∈2⅄ᐱ(φn1/Fn2), ∈2⅄ᐱ(φn1/Gn2), ∈2⅄ᐱ(φn1/Hn2), ∈2⅄ᐱ(φn1/In2), ∈2⅄ᐱ(φn1/Jn2), ∈2⅄ᐱ(φn1/Kn2), ∈2⅄ᐱ(φn1/Ln2), ∈2⅄ᐱ(φn1/Mn2), ∈2⅄ᐱ(φn1/Nn2), ∈2⅄ᐱ(φn1/On2), ∈2⅄ᐱ(φn1/Pn2), ∈2⅄ᐱ(φn1/Qn2), ∈2⅄ᐱ(φn1/Rn2), ∈2⅄ᐱ(φn1/Sn2), ∈2⅄ᐱ(φn1/Tn2),∈2⅄ᐱ(φn1/Un2), ∈2⅄ᐱ(φn1/Vn2), ∈2⅄ᐱ(φn1/Wn2), ∈2⅄ᐱ(φn1/Yn2), ∈2⅄ᐱ(φn1/Zn2), ∈2⅄ᐱ(φn1/φn2), ∈2⅄ᐱ(φn1/Θn2), ∈2⅄ᐱ(φn1/Ψn2), ∈2⅄ᐱ(φn1cn/ᐱn2cn), ∈2⅄ᐱ(φn1cn/ᗑn2cn), ∈2⅄ᐱ(φn1cn/∘⧊°n2cn), ∈2⅄ᐱ(φn1cn/∘∇°n2cn)
∈2⅄ᐱ(Θn1/An2), ∈2⅄ᐱ(Θn1/Bn2), ∈2⅄ᐱ(Θn1/Dn2), ∈2⅄ᐱ(Θn1/En2), ∈2⅄ᐱ(Θn1/Fn2), ∈2⅄ᐱ(Θn1/Gn2), ∈2⅄ᐱ(Θn1/Hn2), ∈2⅄ᐱ(Θn1/In2), ∈2⅄ᐱ(Θn1/Jn2), ∈2⅄ᐱ(Θn1/Kn2), ∈2⅄ᐱ(Θn1/Ln2), ∈2⅄ᐱ(Θn1/Mn2), ∈2⅄ᐱ(Θn1/Nn2), ∈2⅄ᐱ(Θn1/On2), ∈2⅄ᐱ(Θn1/Pn2), ∈2⅄ᐱ(Θn1/Qn2), ∈2⅄ᐱ(Θn1/Rn2), ∈2⅄ᐱ(Θn1/Sn2), ∈2⅄ᐱ(Θn1/Tn2),∈2⅄ᐱ(Θn1/Un2), ∈2⅄ᐱ(Θn1/Vn2), ∈2⅄ᐱ(Θn1/Wn2), ∈2⅄ᐱ(Θn1/Yn2), ∈2⅄ᐱ(Θn1/Zn2), ∈2⅄ᐱ(Θn1/φn2), ∈2⅄ᐱ(Θn1/Θn2), ∈2⅄ᐱ(Θn1/Ψn2), ∈2⅄ᐱ(Θn1cn/ᐱn2cn), ∈2⅄ᐱ(Θn1cn/ᗑn2cn), ∈2⅄ᐱ(Θn1cn/∘⧊°n2cn), ∈2⅄ᐱ(Θn1cn/∘∇°n2cn)
∈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(Ψn1/ᐱn2), ∈2⅄ᐱ(Ψn1/ᗑn2), ∈2⅄ᐱ(Ψn1/∘⧊°n2), ∈2⅄ᐱ(Ψn1/∘∇°n2)
3⅄
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.
Function path 3⅄ncn=(nncn/nncn) is nncn a number in a set of variables with a variant potential change in decimal stem cycle count of cn divided by nncn a number similar in a set of variables with a variant change in decimal stem cycle count of cn , such that nncn is a number or variable with a repeating or not repeating decimal stem cycle variant.
3⅄ncn is not applicable to whole number variables with no decimal stem repeating numerals of set variables ∈n⅄ᐱ(Yn/Yn), ∈n⅄ᐱ(Yn/Pn), ∈n⅄ᐱ(Pn/Pn), and ∈n⅄ᐱ(Pn/Yn) aside from noting that a number of a set in whole numbers divided by a same number from its set and will always equal 1 unless the variable 0 zero from Y base is applied as 0/0=0. While any variable no matter the length of decimal divided with zero equals zero and and variable divided with one equals the decimal ratio the number of stem cycles in the factors is important to note in all factoring. The same is true for whole number variables of ∈n⅄ᐱ(Ψn/Yn), ∈n⅄ᐱ(Ψn/Pn), ∈n⅄ᐱ(Pn/Ψn), and ∈n⅄ᐱ(Yn/Ψn)
If it is needed in a system of calculations noted for example 3⅄(Yn/Yn) or 3⅄(Pn/Pn) or 3⅄(Ψn/Ψn) then it should be noted and if that variable factor is incorrect while a variable very close in value with decimal then that variable may help to allocate the change or loss of a system in quantum field fractals that are polarized to one set or more of numerator and denominator ratio.
Examples of micron numerical variable change with constant stem cycle repeating decimal chains in path 3⅄.
3⅄ncn=(nnc1/nnc2)
3⅄ncn=(nnc2/nnc1)
3⅄ncn=(nnc1/nnc3)
3⅄ncn=(nnc3/nnc1)
3⅄ncn=(nnc2/nnc3)
3⅄ncn=(nnc3/nnc2)
Example
3⅄ncn=(nncn/nncn) is applicable to set variable below with ∈n⅄ᐱ(Pn/Pn), ∈n⅄ᐱ(Pn/Yn), ∈n⅄ᐱ(Yn/Yn) and ∈n⅄ᐱ(Yn/Pn) excluded having no decimal variants to a cn of Y & P variables as they are whole numbers.
[ nncn⅄ᐱ(An/An) / nncn⅄ᐱ(An/An) ]=Nncn then requires definition of both the variables of n⅄ᐱ(An/An) defined and cn of all factors of n⅄ᐱ(An/An) since path 1⅄=(nn2cn/nn1cn) and path 2⅄=(nn1cn/nn2cn) then path 3⅄ncn=(nncn/nncn) of n⅄ᐱ(An/An) while A represents path 1⅄(φ/Q)cn variables a path 2⅄=(nn1cn/nn2cn) is a function applicable to A variables once defined from path set 1⅄(φ/Q)cn that Q path variable must be defined of 1⅄Q or 2⅄Q from P bases of P to satisfy the specific definition of n⅄ᐱ(An/An)
if An=1⅄(φ/Q)cn and 1⅄=(An2cn/An1cn)=1⅄2An1 while 2⅄=(An1cn/An2cn)=2⅄2An1 then n⅄ᐱ(An/An)={1⅄2An1 : 2⅄2An1 : 3⅄2An1} potential variable sets while the variant Nncn of Q and A variables then also have potential change to final quotient and must be defined to cn.
Path 3⅄ncn=(nncn/nncn) function is then applicable to sets and the variables of the sets below
∈n⅄ᐱ(An/An), ∈n⅄ᐱ(An/Bn), ∈n⅄ᐱ(An/Dn), ∈n⅄ᐱ(An/En), ∈n⅄ᐱ(An/Fn), ∈n⅄ᐱ(An/Gn), ∈n⅄ᐱ(An/Hn), ∈n⅄ᐱ(An/In), ∈n⅄ᐱ(An/Jn), ∈n⅄ᐱ(An/Kn), ∈n⅄ᐱ(An/Ln), ∈n⅄ᐱ(An/Mn), ∈n⅄ᐱ(An/Nn), ∈n⅄ᐱ(An/On), ∈n⅄ᐱ(An/Pn), ∈n⅄ᐱ(An/Qn), ∈n⅄ᐱ(An/Rn), ∈n⅄ᐱ(An/Sn), ∈n⅄ᐱ(An/Tn),∈n⅄ᐱ(An/Un), ∈n⅄ᐱ(An/Vn), ∈n⅄ᐱ(An/Wn), ∈n⅄ᐱ(An/Yn), ∈n⅄ᐱ(An/Zn), ∈n⅄ᐱ(An/φn), ∈n⅄ᐱ(An/Θn), ∈n⅄ᐱ(An/Ψn), ∈n⅄ᐱ(Ancn/ᐱncn), ∈n⅄ᐱ(Ancn/ᗑncn), ∈n⅄ᐱ(Ancn/∘⧊°ncn), ∈n⅄ᐱ(Ancn/∘∇°ncn)
∈n⅄ᐱ(Bn/An), ∈n⅄ᐱ(Bn/Bn), ∈n⅄ᐱ(Bn/Dn), ∈n⅄ᐱ(Bn/En), ∈n⅄ᐱ(Bn/Fn), ∈n⅄ᐱ(Bn/Gn), ∈n⅄ᐱ(Bn/Hn), ∈n⅄ᐱ(Bn/In), ∈n⅄ᐱ(Bn/Jn), ∈n⅄ᐱ(Bn/Kn), ∈n⅄ᐱ(Bn/Ln), ∈n⅄ᐱ(Bn/Mn), ∈n⅄ᐱ(Bn/Nn), ∈n⅄ᐱ(Bn/On), ∈n⅄ᐱ(Bn/Pn), ∈n⅄ᐱ(Bn/Qn), ∈n⅄ᐱ(Bn/Rn), ∈n⅄ᐱ(Bn/Sn), ∈n⅄ᐱ(Bn/Tn),∈n⅄ᐱ(Bn/Un), ∈n⅄ᐱ(Bn/Vn), ∈n⅄ᐱ(Bn/Wn), ∈n⅄ᐱ(Bn/Yn), ∈n⅄ᐱ(Bn/Zn), ∈n⅄ᐱ(Bn/φn), ∈n⅄ᐱ(Bn/Θn), ∈n⅄ᐱ(Bn/Ψn), ∈n⅄ᐱ(Bncn/ᐱncn), ∈n⅄ᐱ(Bncnxᗑncn), ∈n⅄ᐱ(Bncn/∘⧊°ncn), ∈n⅄ᐱ(Bncn/∘∇°ncn)
∈n⅄ᐱ(Dn/An), ∈n⅄ᐱ(Dn/Bn), ∈n⅄ᐱ(Dn/Dn), ∈n⅄ᐱ(Dn/En), ∈n⅄ᐱ(Dn/Fn), ∈n⅄ᐱ(Dn/Gn), ∈n⅄ᐱ(Dn/Hn), ∈n⅄ᐱ(Dn/In), ∈n⅄ᐱ(Dn/Jn), ∈n⅄ᐱ(Dn/Kn), ∈n⅄ᐱ(Dn/Ln), ∈n⅄ᐱ(Dn/Mn), ∈n⅄ᐱ(Dn/Nn), ∈n⅄ᐱ(Dn/On), ∈n⅄ᐱ(Dn/Pn), ∈n⅄ᐱ(Dn/Qn), ∈n⅄ᐱ(Dn/Rn), ∈n⅄ᐱ(Dn/Sn), ∈n⅄ᐱ(Dn/Tn),∈n⅄ᐱ(Dn/Un), ∈n⅄ᐱ(Dn/Vn), ∈n⅄ᐱ(Dn/Wn), ∈n⅄ᐱ(Dn/Yn), ∈n⅄ᐱ(Dn/Zn), ∈n⅄ᐱ(Dn/φn), ∈n⅄ᐱ(Dn/Θn), ∈n⅄ᐱ(Dn/Ψn), ∈n⅄ᐱ(Dncn/ᐱncn), ∈n⅄ᐱ(Dncn/ᗑncn), ∈n⅄ᐱ(Dncn/∘⧊°ncn), ∈n⅄ᐱ(Dncn/∘∇°ncn)
∈n⅄ᐱ(En/An), ∈n⅄ᐱ(En/Bn), ∈n⅄ᐱ(En/Dn), ∈n⅄ᐱ(En/En), ∈n⅄ᐱ(En/Fn), ∈n⅄ᐱ(En/Gn), ∈n⅄ᐱ(En/Hn), ∈n⅄ᐱ(En/In), ∈n⅄ᐱ(En/Jn), ∈n⅄ᐱ(En/Kn), ∈n⅄ᐱ(En/Ln), ∈n⅄ᐱ(En/Mn), ∈n⅄ᐱ(En/Nn), ∈n⅄ᐱ(En/On), ∈n⅄ᐱ(En/Pn), ∈n⅄ᐱ(En/Qn), ∈n⅄ᐱ(En/Rn), ∈n⅄ᐱ(En/Sn), ∈n⅄ᐱ(En/Tn),∈n⅄ᐱ(En/Un), ∈n⅄ᐱ(En/Vn), ∈n⅄ᐱ(En/Wn), ∈n⅄ᐱ(En/Yn), ∈n⅄ᐱ(En/Zn), ∈n⅄ᐱ(En/φn), ∈n⅄ᐱ(En/Θn), ∈n⅄ᐱ(En/Ψn), ∈n⅄ᐱ(Encn/ᐱncn), ∈n⅄ᐱ(Encn/ᗑncn), ∈n⅄ᐱ(Encn/∘⧊°ncn), ∈n⅄ᐱ(Encn/∘∇°ncn)
∈n⅄ᐱ(Fn/An), ∈n⅄ᐱ(Fn/Bn), ∈n⅄ᐱ(Fn/Dn), ∈n⅄ᐱ(Fn/En), ∈n⅄ᐱ(Fn/Fn), ∈n⅄ᐱ(Fn/Gn), ∈n⅄ᐱ(Fn/Hn), ∈n⅄ᐱ(Fn/In), ∈n⅄ᐱ(Fn/Jn), ∈n⅄ᐱ(Fn/Kn), ∈n⅄ᐱ(Fn/Ln), ∈n⅄ᐱ(Fn/Mn), ∈n⅄ᐱ(Fn/Nn), ∈n⅄ᐱ(Fn/On), ∈n⅄ᐱ(Fn/Pn), ∈n⅄ᐱ(Fn/Qn), ∈n⅄ᐱ(Fn/Rn), ∈n⅄ᐱ(Fn/Sn), ∈n⅄ᐱ(Fn/Tn),∈n⅄ᐱ(Fn/Un), ∈n⅄ᐱ(Fn/Vn), ∈n⅄ᐱ(Fn/Wn), ∈n⅄ᐱ(Fn/Yn), ∈n⅄ᐱ(Fn/Zn), ∈n⅄ᐱ(Fn/φn), ∈n⅄ᐱ(Fn/Θn), ∈n⅄ᐱ(Fn/Ψn), ∈n⅄ᐱ(Fncn/ᐱncn), ∈n⅄ᐱ(Fncn/ᗑncn), ∈n⅄ᐱ(Fncn/∘⧊°ncn), ∈n⅄ᐱ(Fncn/∘∇°ncn)
∈n⅄ᐱ(Gn/An), ∈n⅄ᐱ(Gn/Bn), ∈n⅄ᐱ(Gn/Dn), ∈n⅄ᐱ(Gn/En), ∈n⅄ᐱ(Gn/Fn), ∈n⅄ᐱ(Gn/Gn), ∈n⅄ᐱ(Gn/Hn), ∈n⅄ᐱ(Gn/In), ∈n⅄ᐱ(Gn/Jn), ∈n⅄ᐱ(Gn/Kn), ∈n⅄ᐱ(Gn/Ln), ∈n⅄ᐱ(Gn/Mn), ∈n⅄ᐱ(Gn/Nn), ∈n⅄ᐱ(Gn/On), ∈n⅄ᐱ(Gn/Pn), ∈n⅄ᐱ(Gn/Qn), ∈n⅄ᐱ(Gn/Rn), ∈n⅄ᐱ(Gn/Sn), ∈n⅄ᐱ(Gn/Tn),∈n⅄ᐱ(Gn/Un), ∈n⅄ᐱ(Gn/Vn), ∈n⅄ᐱ(Gn/Wn), ∈n⅄ᐱ(Gn/Yn), ∈n⅄ᐱ(Gn/Zn), ∈n⅄ᐱ(Gn/φn), ∈n⅄ᐱ(Gn/Θn), ∈n⅄ᐱ(Gn/Ψn), ∈n⅄ᐱ(Gncn/ᐱncn), ∈n⅄ᐱ(Gncn/ᗑncn), ∈n⅄ᐱ(Gncn/∘⧊°ncn), ∈n⅄ᐱ(Gncn/∘∇°ncn)
∈n⅄ᐱ(Hn/An), ∈n⅄ᐱ(Hn/Bn), ∈n⅄ᐱ(Hn/Dn), ∈n⅄ᐱ(Hn/En), ∈n⅄ᐱ(Hn/Fn), ∈n⅄ᐱ(Hn/Gn), ∈n⅄ᐱ(Hn/Hn), ∈n⅄ᐱ(Hn/In), ∈n⅄ᐱ(Hn/Jn), ∈n⅄ᐱ(Hn/Kn), ∈n⅄ᐱ(Hn/Ln), ∈n⅄ᐱ(Hn/Mn), ∈n⅄ᐱ(Hn/Nn), ∈n⅄ᐱ(Hn/On), ∈n⅄ᐱ(Hn/Pn), ∈n⅄ᐱ(Hn/Qn), ∈n⅄ᐱ(Hn/Rn), ∈n⅄ᐱ(Hn/Sn), ∈n⅄ᐱ(Hn/Tn),∈n⅄ᐱ(Hn/Un), ∈n⅄ᐱ(Hn/Vn), ∈n⅄ᐱ(Hn/Wn), ∈n⅄ᐱ(Hn/Yn), ∈n⅄ᐱ(Hn/Zn), ∈n⅄ᐱ(Hn/φn), ∈n⅄ᐱ(Hn/Θn), ∈n⅄ᐱ(Hn/Ψn), ∈n⅄ᐱ(Hncn/ᐱncn), ∈n⅄Xᐱ(Hncn/ᗑncn), ∈n⅄ᐱ(Hncn/∘⧊°ncn), ∈n⅄ᐱ(Hncn/∘∇°ncn)
∈n⅄ᐱ(In/An), ∈n⅄ᐱ(In/Bn), ∈n⅄ᐱ(In/Dn), ∈n⅄ᐱ(In/En), ∈n⅄ᐱ(In/Fn), ∈n⅄ᐱ(In/Gn), ∈n⅄ᐱ(In/Hn), ∈n⅄ᐱ(In/In), ∈n⅄ᐱ(In/Jn), ∈n⅄ᐱ(In/Kn), ∈n⅄ᐱ(In/Ln), ∈n⅄ᐱ(In/Mn), ∈n⅄ᐱ(In/Nn), ∈n⅄ᐱ(In/On), ∈n⅄ᐱ(In/Pn), ∈n⅄ᐱ(In/Qn), ∈n⅄ᐱ(In/Rn), ∈n⅄ᐱ(In/Sn), ∈n⅄ᐱ(In/Tn),∈n⅄ᐱ(In/Un), ∈n⅄ᐱ(In/Vn), ∈n⅄ᐱ(In/Wn), ∈n⅄ᐱ(In/Yn), ∈n⅄ᐱ(In/Zn), ∈n⅄ᐱ(In/φn), ∈n⅄ᐱ(In/Θn), ∈n⅄ᐱ(In/Ψn), ∈n⅄ᐱ(Incn/ᐱncn), ∈n⅄ᐱ(Incn/ᗑncn), ∈n⅄ᐱ(Incn/∘⧊°ncn), ∈n⅄ᐱ(Incn/∘∇°ncn)
∈n⅄ᐱ(Jn/An), ∈n⅄ᐱ(Jn/Bn), ∈n⅄ᐱ(Jn/Dn), ∈n⅄ᐱ(Jn/En), ∈n⅄ᐱ(Jn/Fn), ∈n⅄ᐱ(Jn/Gn), ∈n⅄ᐱ(Jn/Hn), ∈n⅄ᐱ(Jn/In), ∈n⅄ᐱ(Jn/Jn), ∈n⅄ᐱ(Jn/Kn), ∈n⅄ᐱ(Jn/Ln), ∈n⅄ᐱ(Jn/Mn), ∈n⅄ᐱ(Jn/Nn), ∈n⅄ᐱ(Jn/On), ∈n⅄ᐱ(Jn/Pn), ∈n⅄ᐱ(Jn/Qn), ∈n⅄ᐱ(Jn/Rn), ∈n⅄ᐱ(Jn/Sn), ∈n⅄ᐱ(Jn/Tn),∈n⅄ᐱ(Jn/Un), ∈n⅄ᐱ(Jn/Vn), ∈n⅄ᐱ(Jn/Wn), ∈n⅄ᐱ(Jn/Yn), ∈n⅄ᐱ(Jn/Zn), ∈n⅄ᐱ(Jn/φn), ∈n⅄ᐱ(Jn/Θn), ∈n⅄ᐱ(Jn/Ψn), ∈n⅄ᐱ(Jncn/ᐱncn), ∈n⅄ᐱ(Jncn/ᗑncn), ∈n⅄ᐱ(Jncn/∘⧊°ncn), ∈n⅄ᐱ(Jncn/∘∇°ncn)
∈n⅄ᐱ(Kn/An), ∈n⅄ᐱ(Kn/Bn), ∈n⅄ᐱ(Kn/Dn), ∈n⅄ᐱ(Kn/En), ∈n⅄ᐱ(Kn/Fn), ∈n⅄ᐱ(Kn/Gn), ∈n⅄ᐱ(Kn/Hn), ∈n⅄ᐱ(Kn/In), ∈n⅄ᐱ(Kn/Jn), ∈n⅄ᐱ(Kn/Kn), ∈n⅄ᐱ(Kn/Ln), ∈n⅄ᐱ(Kn/Mn), ∈n⅄ᐱ(Kn/Nn), ∈n⅄ᐱ(Kn/On), ∈n⅄ᐱ(Kn/Pn), ∈n⅄ᐱ(Kn/Qn), ∈n⅄ᐱ(Kn/Rn), ∈n⅄ᐱ(Kn/Sn), ∈n⅄ᐱ(Kn/Tn),∈n⅄ᐱ(Kn/Un), ∈n⅄ᐱ(Kn/Vn), ∈n⅄ᐱ(Kn/Wn), ∈n⅄ᐱ(Kn/Yn), ∈n⅄ᐱ(Kn/Zn), ∈n⅄ᐱ(Kn/φn), ∈n⅄ᐱ(Kn/Θn), ∈n⅄ᐱ(Kn/Ψn), ∈n⅄ᐱ(Kncn/ᐱncn), ∈n⅄ᐱ(Kncn/ᗑncn), ∈n⅄ᐱ(Kncn/∘⧊°ncn), ∈n⅄ᐱ(Kncn/∘∇°ncn)
∈n⅄ᐱ(Ln/An), ∈n⅄ᐱ(Ln/Bn), ∈n⅄ᐱ(Ln/Dn), ∈n⅄ᐱ(Ln/En), ∈n⅄ᐱ(Ln/Fn), ∈n⅄ᐱ(Ln/Gn), ∈n⅄ᐱ(Ln/Hn), ∈n⅄ᐱ(Ln/In), ∈n⅄ᐱ(Ln/Jn), ∈n⅄ᐱ(Ln/Kn), ∈n⅄ᐱ(Ln/Ln), ∈n⅄ᐱ(Ln/Mn), ∈n⅄ᐱ(Ln/Nn), ∈n⅄ᐱ(Ln/On), ∈n⅄ᐱ(Ln/Pn), ∈n⅄ᐱ(Ln/Qn), ∈n⅄ᐱ(Ln/Rn), ∈n⅄ᐱ(Ln/Sn), ∈n⅄ᐱ(Ln/Tn),∈n⅄ᐱ(Ln/Un), ∈n⅄ᐱ(Ln/Vn), ∈n⅄ᐱ(Ln/Wn), ∈n⅄ᐱ(Ln/Yn), ∈n⅄ᐱ(Ln/Zn), ∈n⅄ᐱ(Ln/φn), ∈n⅄ᐱ(Ln/Θn)), ∈n⅄ᐱ(Ln/Ψn), ∈n⅄ᐱ(Lncn/ᐱncn), ∈n⅄ᐱ(Lncn/ᗑncn), ∈n⅄ᐱ(Lncn/∘⧊°ncn), ∈n⅄ᐱ(Lncn/∘∇°ncn)
∈n⅄ᐱ(Mn/An), ∈n⅄ᐱ(Mn/Bn), ∈n⅄ᐱ(Mn/Dn), ∈n⅄ᐱ(Mn/En), ∈n⅄ᐱ(Mn/Fn), ∈n⅄ᐱ(Mn/Gn), ∈n⅄ᐱ(Mn/Hn), ∈n⅄ᐱ(Mn/In), ∈n⅄ᐱ(Mn/Jn), ∈n⅄ᐱ(Mn/Kn), ∈n⅄ᐱ(Mn/Ln), ∈n⅄ᐱ(Mn/Mn), ∈n⅄ᐱ(Mn/Nn), ∈n⅄ᐱ(Mn/On), ∈n⅄ᐱ(Mn/Pn), ∈n⅄ᐱ(Mn/Qn), ∈n⅄ᐱ(Mn/Rn), ∈n⅄ᐱ(Mn/Sn), ∈n⅄ᐱ(Mn/Tn),∈n⅄ᐱ(Mn/Un), ∈n⅄ᐱ(Mn/Vn), ∈n⅄ᐱ(Mn/Wn), ∈n⅄ᐱ(Mn/Yn), ∈n⅄ᐱ(Mn/Zn), ∈n⅄ᐱ(Mn/φn), ∈n⅄ᐱ(Mn/Θn), ∈n⅄ᐱ(Mn/Ψn), ∈n⅄ᐱ(Mncn/ᐱncn), ∈n⅄ᐱ(Mncn/ᗑncn), ∈n⅄ᐱ(Mncn/∘⧊°ncn), ∈n⅄ᐱ(Mncn/∘∇°ncn)
∈n⅄ᐱ(Nn/An), ∈n⅄ᐱ(Nn/Bn), ∈n⅄ᐱ(Nn/Dn), ∈n⅄ᐱ(Nn/En), ∈n⅄ᐱ(Nn/Fn), ∈n⅄ᐱ(Nn/Gn), ∈n⅄ᐱ(Nn/Hn), ∈n⅄ᐱ(Nn/In), ∈n⅄ᐱ(Nn/Jn), ∈n⅄ᐱ(Nn/Kn), ∈n⅄ᐱ(Nn/Ln), ∈n⅄ᐱ(Nn/Mn), ∈n⅄ᐱ(Nn/Nn), ∈n⅄ᐱ(Nn/On), ∈n⅄ᐱ(Nn/Pn), ∈n⅄ᐱ(Nn/Qn), ∈n⅄ᐱ(Nn/Rn), ∈n⅄ᐱ(Nn/Sn), ∈n⅄ᐱ(Nn/Tn),∈n⅄ᐱ(Nn/Un), ∈n⅄ᐱ(Nn/Vn), ∈n⅄ᐱ(Nn/Wn), ∈n⅄ᐱ(Nn/Yn), ∈n⅄ᐱ(Nn/Zn), ∈n⅄ᐱ(Nn/φn), ∈n⅄ᐱ(Nn/Θn), ∈n⅄ᐱ(Nn/Ψn), ∈n⅄ᐱ(Nncn/ᐱncn), ∈n⅄ᐱ(Nncn/ᗑncn), ∈n⅄ᐱ(Nncn/∘⧊°ncn), ∈n⅄ᐱ(Nncn/∘∇°ncn)
∈n⅄ᐱ(On/An), ∈n⅄ᐱ(On/Bn), ∈n⅄ᐱ(On/Dn), ∈n⅄ᐱ(On/En), ∈n⅄ᐱ(On/Fn), ∈n⅄ᐱ(On/Gn), ∈n⅄ᐱ(On/Hn), ∈n⅄ᐱ(On/In), ∈n⅄ᐱ(On/Jn), ∈n⅄ᐱ(On/Kn), ∈n⅄ᐱ(On/Ln), ∈n⅄ᐱ(On/Mn), ∈n⅄ᐱ(On/Nn), ∈n⅄ᐱ(On/On), ∈n⅄ᐱ(On/Pn), ∈n⅄ᐱ(On/Qn), ∈n⅄ᐱ(On/Rn), ∈n⅄ᐱ(On/Sn), ∈n⅄ᐱ(On/Tn),∈n⅄ᐱ(On/Un), ∈n⅄ᐱ(On/Vn), ∈n⅄ᐱ(On/Wn), ∈n⅄ᐱ(On/Yn), ∈n⅄ᐱ(On/Zn), ∈n⅄ᐱ(On/φn), ∈n⅄ᐱ(On/Θn), ∈n⅄ᐱ(On/Ψn), ∈n⅄ᐱ(Oncn/ᐱncn), ∈n⅄ᐱ(Oncn/ᗑncn), ∈n⅄ᐱ(Oncn/∘⧊°ncn), ∈n⅄ᐱ(Oncn/∘∇°ncn)
∈n⅄ᐱ(Pn/An), ∈n⅄ᐱ(Pn/Bn), ∈n⅄ᐱ(Pn/Dn), ∈n⅄ᐱ(Pn/En), ∈n⅄ᐱ(Pn/Fn), ∈n⅄ᐱ(Pn/Gn), ∈n⅄ᐱ(Pn/Hn), ∈n⅄ᐱ(Pn/In), ∈n⅄ᐱ(Pn/Jn), ∈n⅄ᐱ(Pn/Kn), ∈n⅄ᐱ(Pn/Ln), ∈n⅄ᐱ(Pn/Mn), ∈n⅄ᐱ(Pn/Nn), ∈n⅄ᐱ(Pn/On), ∈n⅄ᐱ(Pn/Qn), ∈n⅄ᐱ(Pn/Rn), ∈n⅄ᐱ(Pn/Sn), ∈n⅄ᐱ(Pn/Tn),∈n⅄ᐱ(Pn/Un), ∈n⅄ᐱ(Pn/Vn), ∈n⅄ᐱ(Pn/Wn), ∈n⅄ᐱ(Pn/Zn), ∈n⅄ᐱ(Pn/φn), ∈n⅄ᐱ(Pn/Θn), ∈n⅄ᐱ(Pn/Ψn), ∈n⅄ᐱ(Pncn/ᐱncn), ∈n⅄ᐱ(Pncn/ᗑncn), ∈n⅄ᐱ(Pncn/∘⧊°ncn), ∈n⅄ᐱ(Pncn/∘∇°ncn)
while path 3⅄ncn is not applicable to whole number variables with no decimal stem repeating numerals of set variables ∈n⅄ᐱ(Pn/Pn) and ∈n⅄ᐱ(Pn/Yn) and ∈n⅄ᐱ(Pn/Ψn)
∈n⅄ᐱ(Qn/An), ∈n⅄ᐱ(Qn/Bn), ∈n⅄ᐱ(Qn/Dn), ∈n⅄ᐱ(Qn/En), ∈n⅄ᐱ(Qn/Fn), ∈n⅄ᐱ(Qn/Gn), ∈n⅄ᐱ(Qn/Hn), ∈n⅄ᐱ(Qn/In), ∈n⅄ᐱ(Qn/Jn), ∈n⅄ᐱ(Qn/Kn), ∈n⅄ᐱ(Qn/Ln), ∈n⅄ᐱ(Qn/Mn), ∈n⅄ᐱ(Qn/Nn), ∈n⅄ᐱ(Qn/On), ∈n⅄ᐱ(Qn/Pn), ∈n⅄ᐱ(Qn/Qn), ∈n⅄ᐱ(Qn/Rn), ∈n⅄ᐱ(Qn/Sn), ∈n⅄ᐱ(Qn/Tn),∈n⅄ᐱ(Qn/Un), ∈n⅄ᐱ(Qn/Vn), ∈n⅄ᐱ(Qn/Wn), ∈n⅄ᐱ(Qn/Yn), ∈n⅄ᐱ(Qn/Zn), ∈n⅄ᐱ(Qn/φn), ∈n⅄ᐱ(Qn/Θn), ∈n⅄ᐱ(Qn/Ψn), ∈n⅄ᐱ(Qncn/ᐱncn), ∈n⅄ᐱ(Qncn/ᗑncn), ∈n⅄ᐱ(Qncn/∘⧊°ncn), ∈n⅄ᐱ(Qncn/∘∇°ncn)
∈n⅄ᐱ(Rn/An), ∈n⅄ᐱ(Rn/Bn), ∈n⅄ᐱ(Rn/Dn), ∈n⅄ᐱ(Rn/En), ∈n⅄ᐱ(Rn/Fn), ∈n⅄ᐱ(Rn/Gn), ∈n⅄ᐱ(Rn/Hn), ∈n⅄ᐱ(Rn/In), ∈n⅄ᐱ(Rn/Jn), ∈n⅄ᐱ(Rn/Kn), ∈n⅄ᐱ(Rn/Ln), ∈n⅄ᐱ(Rn/Mn), ∈n⅄ᐱ(Rn/Nn), ∈n⅄ᐱ(Rn/On), ∈n⅄ᐱ(Rn/Pn), ∈n⅄ᐱ(Rn/Qn), ∈n⅄ᐱ(Rn/Rn), ∈n⅄ᐱ(Rn/Sn), ∈n⅄ᐱ(Rn/Tn),∈n⅄ᐱ(Rn/Un), ∈n⅄ᐱ(Rn/Vn), ∈n⅄ᐱ(Rn/Wn), ∈n⅄ᐱ(Rn/Yn), ∈n⅄ᐱ(Rn/Zn), ∈n⅄ᐱ(Rn/φn), ∈n⅄ᐱ(Rn/Θn), ∈n⅄ᐱ(Rn/Ψn), ∈n⅄ᐱ(Rncn/ᐱncn), ∈n⅄ᐱ(Rncn/ᗑncn), ∈n⅄ᐱ(Rncn/∘⧊°ncn), ∈n⅄ᐱ(Rncn/∘∇°ncn)
∈n⅄ᐱ(Sn/An), ∈n⅄ᐱ(Sn/Bn), ∈n⅄ᐱ(Sn/Dn), ∈n⅄ᐱ(Sn/En), ∈n⅄ᐱ(Sn/Fn), ∈n⅄ᐱ(Sn/Gn), ∈n⅄ᐱ(Sn/Hn), ∈n⅄ᐱ(Sn/In), ∈n⅄ᐱ(Sn/Jn), ∈n⅄ᐱ(Sn/Kn), ∈n⅄ᐱ(Sn/Ln), ∈n⅄ᐱ(Sn/Mn), ∈n⅄ᐱ(Sn/Nn), ∈n⅄ᐱ(Sn/On), ∈n⅄ᐱ(Sn/Pn), ∈n⅄ᐱ(Sn/Qn), ∈n⅄ᐱ(Sn/Rn), ∈n⅄ᐱ(Sn/Sn), ∈n⅄ᐱ(Sn/Tn),∈n⅄ᐱ(Sn/Un), ∈n⅄ᐱ(Sn/Vn), ∈n⅄ᐱ(Sn/Wn), ∈n⅄ᐱ(Sn/Yn), ∈n⅄ᐱ(Sn/Zn), ∈n⅄ᐱ(Sn/φn), ∈n⅄ᐱ(Sn/Θn), ∈n⅄ᐱ(Sn/Ψn), ∈n⅄ᐱ(Sncn/ᐱncn), ∈n⅄ᐱ(Sncn/ᗑncn), ∈n⅄ᐱ(Sncn/∘⧊°ncn), ∈n⅄ᐱ(Sncn/∘∇°ncn)
∈n⅄ᐱ(Tn/An), ∈n⅄ᐱ(Tn/Bn), ∈n⅄ᐱ(Tn/Dn), ∈n⅄ᐱ(Tn/En), ∈n⅄ᐱ(Tn/Fn), ∈n⅄ᐱ(Tn/Gn), ∈n⅄ᐱ(Tn/Hn), ∈n⅄ᐱ(Tn/In), ∈n⅄ᐱ(Tn/Jn), ∈n⅄ᐱ(Tn/Kn), ∈n⅄ᐱ(Tn/Ln), ∈n⅄ᐱ(Tn/Mn), ∈n⅄ᐱ(Tn/Nn), ∈n⅄ᐱ(Tn/On), ∈n⅄ᐱ(Tn/Pn), ∈n⅄ᐱ(Tn/Qn), ∈n⅄ᐱ(Tn/Rn), ∈n⅄ᐱ(Tn/Sn), ∈n⅄ᐱ(Tn/Tn),∈n⅄ᐱ(Tn/Un), ∈n⅄ᐱ(Tn/Vn), ∈n⅄ᐱ(Tn/Wn), ∈n⅄ᐱ(Tn/Yn), ∈n⅄ᐱ(Tn/Zn), ∈n⅄ᐱ(Tn/φn), ∈n⅄ᐱ(Tn/Θn), ∈n⅄ᐱ(Tn/Ψn), ∈n⅄ᐱ(Tncn/ᐱncn), ∈n⅄ᐱ(Tncn/ᗑncn), ∈n⅄ᐱ(Tncn/∘⧊°ncn), ∈n⅄ᐱ(Tncn/∘∇°ncn)
∈n⅄ᐱ(Un/An), ∈n⅄ᐱ(Un/Bn), ∈n⅄ᐱ(Un/Dn), ∈n⅄ᐱ(Un/En), ∈n⅄ᐱ(Un/Fn), ∈n⅄ᐱ(Un/Gn), ∈n⅄ᐱ(Un/Hn), ∈n⅄ᐱ(Un/In), ∈n⅄ᐱ(Un/Jn), ∈n⅄ᐱ(Un/Kn), ∈n⅄ᐱ(Un/Ln), ∈n⅄ᐱ(Un/Mn), ∈n⅄ᐱ(Un/Nn), ∈n⅄ᐱ(Un/On), ∈n⅄ᐱ(Un/Pn), ∈n⅄ᐱ(Un/Qn), ∈n⅄ᐱ(Un/Rn), ∈n⅄ᐱ(Un/Sn), ∈n⅄ᐱ(Un/Tn), ∈n⅄ᐱ(Un/Un), ∈n⅄ᐱ(Un/Vn), ∈n⅄ᐱ(Un/Wn), ∈n⅄ᐱ(Un/Yn), ∈n⅄ᐱ(Un/Zn), ∈n⅄ᐱ(Un/φn), ∈n⅄ᐱ(Un/Θn), ∈n⅄ᐱ(Un/Ψn), ∈n⅄ᐱ(Uncn/ᐱncn), ∈n⅄ᐱ(Uncn/ᗑncn), ∈n⅄ᐱ(Uncn/∘⧊°ncn), ∈n⅄ᐱ(Uncn/∘∇°ncn)
∈n⅄ᐱ(Vn/An), ∈n⅄ᐱ(Vn/Bn), ∈n⅄ᐱ(Vn/Dn), ∈n⅄ᐱ(Vn/En), ∈n⅄ᐱ(Vn/Fn), ∈n⅄ᐱ(Vn/Gn), ∈n⅄ᐱ(Vn/Hn), ∈n⅄ᐱ(Vn/In), ∈n⅄ᐱ(Vn/Jn), ∈n⅄ᐱ(Vn/Kn), ∈n⅄ᐱ(Vn/Ln), ∈n⅄ᐱ(Vn/Mn), ∈n⅄ᐱ(Vn/Nn), ∈n⅄ᐱ(Vn/On), ∈n⅄ᐱ(Vn/Pn), ∈n⅄ᐱ(Vn/Qn), ∈n⅄ᐱ(Vn/Rn), ∈n⅄ᐱ(Vn/Sn), ∈n⅄ᐱ(Vn/Tn),∈n⅄ᐱ(Vn/Un), ∈n⅄ᐱ(Vn/Vn), ∈n⅄ᐱ(Vn/Wn), ∈n⅄ᐱ(Vn/Yn), ∈n⅄ᐱ(Vn/Zn), ∈n⅄ᐱ(Vn/φn), ∈n⅄ᐱ(Vn/Θn), ∈n⅄ᐱ(Vn/Ψn), ∈n⅄ᐱ(Vncn/ᐱncn), ∈n⅄ᐱ(Vncn/ᗑncn), ∈n⅄ᐱ(Vncn/∘⧊°ncn), ∈n⅄ᐱ(Vncn/∘∇°ncn)
∈n⅄ᐱ(Wn/An), ∈n⅄ᐱ(Wn/Bn), ∈n⅄ᐱ(Wn/Dn), ∈n⅄ᐱ(Wn/En), ∈n⅄ᐱ(Wn/Fn), ∈n⅄ᐱ(Wn/Gn), ∈n⅄ᐱ(Wn/Hn), ∈n⅄ᐱ(Wn/In), ∈n⅄ᐱ(Wn/Jn), ∈n⅄ᐱ(Wn/Kn), ∈n⅄ᐱ(Wn/Ln), ∈n⅄ᐱ(Wn/Mn), ∈n⅄ᐱ(Wn/Nn), ∈n⅄ᐱ(Wn/On), ∈n⅄ᐱ(Wn/Pn), ∈n⅄ᐱ(Wn/Qn), ∈n⅄ᐱ(Wn/Rn), ∈n⅄ᐱ(Wn/Sn), ∈n⅄ᐱ(Wn/Tn),∈n⅄ᐱ(Wn/Un), ∈n⅄ᐱ(Wn/Vn), ∈n⅄ᐱ(Wn/Wn), ∈n⅄ᐱ(Wn/Yn), ∈n⅄ᐱ(Wn/Zn), ∈n⅄ᐱ(Wn/φn), ∈n⅄ᐱ(Wn/Θn), ∈n⅄ᐱ(Wn/Ψn), ∈n⅄ᐱ(Wncn/ᐱncn), ∈n⅄ᐱ(Wncn/ᗑncn), ∈n⅄ᐱ(Wncn/∘⧊°ncn), ∈n⅄ᐱ(Wncn/∘∇°ncn)
∈n⅄ᐱ(Yn/An), ∈n⅄ᐱ(Yn/Bn), ∈n⅄ᐱ(Yn/Dn), ∈n⅄ᐱ(Yn/En), ∈n⅄ᐱ(Yn/Fn), ∈n⅄ᐱ(Yn/Gn), ∈n⅄ᐱ(Yn/Hn), ∈n⅄ᐱ(Yn/In), ∈n⅄ᐱ(Yn/Jn), ∈n⅄ᐱ(Yn/Kn), ∈n⅄ᐱ(Yn/Ln), ∈n⅄ᐱ(Yn/Mn), ∈n⅄ᐱ(Yn/Nn), ∈n⅄ᐱ(Yn/On), ∈n⅄ᐱ(Yn/Qn), ∈n⅄ᐱ(Yn/Rn), ∈n⅄ᐱ(Yn/Sn), ∈n⅄ᐱ(Yn/Tn),∈n⅄ᐱ(Yn/Un), ∈n⅄ᐱ(Yn/Vn), ∈n⅄ᐱ(Yn/Wn), ∈n⅄ᐱ(Yn/Zn), ∈n⅄ᐱ(Yn/φn), ∈n⅄ᐱ(Yn/Θn), ∈n⅄ᐱ(Yn/Ψn), ∈n⅄ᐱ(Yncn/ᐱncn), ∈n⅄ᐱ(Yncn/ᗑncn), ∈n⅄ᐱ(Yncn/∘⧊°ncn), ∈n⅄ᐱ(Yncn/∘∇°ncn)
while path 3⅄ncn is not applicable to whole number variables with no decimal stem repeating numerals of set variables ∈n⅄ᐱ(Yn/Yn) and ∈n⅄ᐱ(Yn/Pn) and ∈n⅄ᐱ(Yn/Ψn)
∈n⅄ᐱ(Zn/An), ∈n⅄ᐱ(Zn/Bn), ∈n⅄ᐱ(Zn/Dn), ∈n⅄ᐱ(Zn/En), ∈n⅄ᐱ(Zn/Fn), ∈n⅄ᐱ(Zn/Gn), ∈n⅄ᐱ(Zn/Hn), ∈n⅄ᐱ(Zn/In), ∈n⅄ᐱ(Zn/Jn), ∈n⅄ᐱ(Zn/Kn), ∈n⅄ᐱ(Zn/Ln), ∈n⅄ᐱ(Zn/Mn), ∈n⅄ᐱ(Zn/Nn), ∈n⅄ᐱ(Zn/On), ∈n⅄ᐱ(Zn/Pn), ∈n⅄ᐱ(Zn/Qn), ∈n⅄ᐱ(Zn/Rn), ∈n⅄ᐱ(Zn/Sn), ∈n⅄ᐱ(Zn/Tn),∈n⅄ᐱ(Zn/Un), ∈n⅄ᐱ(Zn/Vn), ∈n⅄ᐱ(Zn/Wn), ∈n⅄ᐱ(Zn/Yn), ∈n⅄ᐱ(Zn/Zn), ∈n⅄ᐱ(Zn/φn), ∈n⅄ᐱ(Zn/Θn), ∈n⅄ᐱ(Zn/Ψn), ∈n⅄ᐱ(Zncn/ᐱncn), ∈n⅄ᐱ(Zncn/ᗑncn), ∈n⅄ᐱ(Zncn/∘⧊°ncn), ∈n⅄ᐱ(Zncn/∘∇°ncn)
∈n⅄ᐱ(φn/An), ∈n⅄ᐱ(φn/Bn), ∈n⅄ᐱ(φn/Dn), ∈n⅄ᐱ(φn/En), ∈n⅄ᐱ(φn/Fn), ∈n⅄ᐱ(φn/Gn), ∈n⅄ᐱ(φn/Hn), ∈n⅄ᐱ(φn/In), ∈n⅄ᐱ(φn/Jn), ∈n⅄ᐱ(φn/Kn), ∈n⅄ᐱ(φn/Ln), ∈n⅄ᐱ(φn/Mn), ∈n⅄ᐱ(φn/Nn), ∈n⅄ᐱ(φn/On), ∈n⅄ᐱ(φn/Pn), ∈n⅄ᐱ(φn/Qn), ∈n⅄ᐱ(φn/Rn), ∈n⅄ᐱ(φn/Sn), ∈n⅄ᐱ(φn/Tn),∈n⅄ᐱ(φn/Un), ∈n⅄ᐱ(φn/Vn), ∈n⅄ᐱ(φn/Wn), ∈n⅄ᐱ(φn/Yn), ∈n⅄ᐱ(φn/Zn), ∈n⅄ᐱ(φn/φn), ∈n⅄ᐱ(φn/Θn), ∈n⅄ᐱ(φn/Ψn), ∈n⅄ᐱ(φncn/ᐱncn), ∈n⅄ᐱ(φncn/ᗑncn), ∈n⅄ᐱ(φncn/∘⧊°ncn), ∈n⅄ᐱ(φncn/∘∇°ncn)
∈n⅄ᐱ(Θn/An), ∈n⅄ᐱ(Θn/Bn), ∈n⅄ᐱ(Θn/Dn), ∈n⅄ᐱ(Θn/En), ∈n⅄ᐱ(Θn/Fn), ∈n⅄ᐱ(Θn/Gn), ∈n⅄ᐱ(Θn/Hn), ∈n⅄ᐱ(Θn/In), ∈n⅄ᐱ(Θn/Jn), ∈n⅄ᐱ(Θn/Kn), ∈n⅄ᐱ(Θn/Ln), ∈n⅄ᐱ(Θn/Mn), ∈n⅄ᐱ(Θn/Nn), ∈n⅄ᐱ(Θn/On), ∈n⅄ᐱ(Θn/Pn), ∈n⅄ᐱ(Θn/Qn), ∈n⅄ᐱ(Θn/Rn), ∈n⅄ᐱ(Θn/Sn), ∈n⅄ᐱ(Θn/Tn),∈n⅄ᐱ(Θn/Un), ∈n⅄ᐱ(Θn/Vn), ∈n⅄ᐱ(Θn/Wn), ∈n⅄ᐱ(Θn/Yn), ∈n⅄ᐱ(Θn/Zn), ∈n⅄ᐱ(Θn/φn), ∈n⅄ᐱ(Θn/Θn), ∈n⅄ᐱ(Θn/Ψn), ∈n⅄ᐱ(Θncn/ᐱncn), ∈n⅄ᐱ(Θncn/ᗑncn), ∈n⅄ᐱ(Θncn/∘⧊°ncn), ∈n⅄ᐱ(Θncn/∘∇°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. The same is true for ∈n⅄ᐱ(Ψn/Pn), and ∈n⅄ᐱ(Ψn/Yn)
1+⅄
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.
+⅄=(nncn+nncn) that a function path is factored to the definition of the function path rather than pemdas order of operations.
Variables are factorable to a measured units that then be later can applied in functions of proper order of operations that is parenthesis, exponents, multiplication, division, addition, and then subtraction.
Function path +⅄=(nncn+nncn) is nncn a number or variable with a repeating or not repeating decimal stem cycle variant added with nncn another a number or variable with a repeating or not repeating decimal stem cycle variant.
⅄+⅄A examples
+⅄ᐱA multiplication complex function of Ancn variables
if A=∈1⅄(φ/Q)cn and path ⅄ of Q is a variant in the definition of A then
A=1⅄(φn2/Qn1)=[(Yn3/Yn2)/(P/P) while Q requires path definition of 1⅄Q or 2⅄Q from P two sets of A complete the formula of Q variable.
A=1⅄(φn2/1⅄Qn1)=[(Yn3/Yn2)/(Pn2/Pn1)=(1/1)/(3/2)=(1/1.5)=0.^6
and
A=1⅄(φn2/2⅄Qn1c1)=[(Yn3/Yn2)/(Pn1/Pn2)=(1/1)/(2/3)=(1/0.^6)=1.^6
Applied function of +⅄=(nncn+nncn) with A variables is then
+⅄ᐱ of A1⅄(φn2 + 1⅄Qn1)=[(Yn3/Yn2) + (Pn2/Pn1)=(1+1.5)=2.5
and
+⅄ᐱ of A1⅄(φn2 + 2⅄Qn1c1)=[(Yn3/Yn2) + (Pn1/Pn2)=(1+0.^6)=1.6
Any change in cn stem decimal cycle count variable will change the added in the example and ultimately the final sum value also.
For example +⅄ᐱ of A1⅄(φn2 + 2⅄Qn1c2)=[(Yn3/Yn2) + (Pn1/Pn2)=(1+0.^66)=1.66
if A=∈1⅄(φ/Q) and +⅄=(nncn+nncn) then (φn + 1⅄Qn) ≠ (φn + 2⅄Qn) ≠ (Ancn + Ancn)
Alternately rather than adding variables of A base φn + 1⅄Qn and adding variables of A base φn + 2⅄Qn factored variables of are Ancn added in the function ∈n+⅄ᐱ(Ancn+Ancn) and ∈n+⅄ᐱ represents notation of a complex function.
Then +⅄=(nncn+nncn) function path applied to variables 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 ᐱ ᗑ ∘⧊° ∘∇° with completed set A=∈1⅄(φ/Q)cn that are An1cn to Ancn
∈n+⅄ᐱ(Ancn+Ancn), ∈n+⅄ᐱ(Ancn+Bncn), ∈n+⅄ᐱ(Ancn+Dncn), ∈n+⅄ᐱ(Ancn+Encn), ∈n+⅄ᐱ(Ancn+Fncn), ∈n+⅄ᐱ(Ancn+Gncn), ∈n+⅄ᐱ(Ancn+Hncn), ∈n+⅄ᐱ(Ancn+Incn), ∈n+⅄ᐱ(Ancn+Jncn), ∈n+⅄ᐱ(Ancn+Kncn), ∈n+⅄ᐱ(Ancn+Lncn), ∈n+⅄ᐱ(Ancn+Mncn), ∈n+⅄ᐱ(Ancn+Nncn), ∈n+⅄ᐱ(Ancn+Oncn), ∈n+⅄ᐱ(Ancn+Pn), ∈n+⅄ᐱ(Ancn+Qncn), ∈n+⅄ᐱ(Ancn+Rncn), ∈n+⅄ᐱ(Ancn+Sncn), ∈n+⅄ᐱ(Ancn+Tncn), ∈n+⅄ᐱ(Ancn+Uncn), ∈n+⅄ᐱ(Ancn+Vncn), ∈n+⅄ᐱ(Ancn+Wncn), ∈n+⅄ᐱ(Ancn+Yn), ∈n+⅄ᐱ(Ancn+Zncn), ∈n+⅄ᐱ(Ancn+φncn), ∈n+⅄ᐱ(Ancn+Θncn), ∈n+⅄ᐱ(Ancn+Ψncn), ∈n+⅄ᐱ(Ancn+ᐱncn), ∈n+⅄ᐱ(Ancn+ᗑncn), ∈n+⅄ᐱ(Ancn+∘⧊°ncn), ∈n+⅄ᐱ(Ancn+∘∇°ncn)
∈n+⅄ᐱ(Ancn+Ancn) example given variants of 1⅄Qn1 and 2⅄Qn1c1 of ∈An1
if An1 of 1⅄(φn2/1⅄Qn1)=[(Yn3/Yn2)/(Pn2/Pn1)=(1/1)/(3/2)=(1/1.5)=0.^6
and
An1 of 1⅄(φn2/2⅄Qn1c1)=[(Yn3/Yn2)/(Pn1/Pn2)=(1/1)/(2/3)=(1/0.^6)=1.^6
while
An2 of 1⅄(φn3/1⅄Qn2)=[(Yn4/Yn3)/(Pn3/Pn2)=(3/2)/(5/3)=(1.5/1.^6)=0.9375
and
An2 of 1⅄(φn3/2⅄Qn2)=[(Yn4/Yn3)/(Pn2/Pn3)=(3/2)/(3/5)=(1.5/0.6)=2.5
then
n+⅄ᐱA has an array of base sets to ∈n+⅄ᐱ(Ancn+Ancn)
(1⅄Qn1) variant of A is +⅄ᐱAn1 [An1 of 1⅄(φn2/1⅄Qn1)] + [An2 of 1⅄(φn3/1⅄Qn2)]=(0.^6+0.9375)=1.5375
(2⅄Qn1c1) variant of A is +⅄ᐱAn1 [An1 of 1⅄(φn2/2⅄Qn1c1)] + [An2 of 1⅄(φn3/2⅄Qn2c1)]=(1.^6+2.5)=4.1
alternately a path adding variables of A with varying Q paths n⅄ is ∈n⅄ᐱ(Ancn of 2⅄Qn xAncn of 1⅄Qn)
(1⅄Qn1cn and 2⅄Qn1cn) variant of A is +⅄ᐱAn1 [An1 of 1⅄(φn2/1⅄Qn1)] + [An1 of 1⅄(φn2/2⅄Qn1)]=(0.^6+1.^6)=2.2
So adding variables
(φn2 x 1⅄Qn1) from +⅄ᐱ of A1⅄(φn2 + 1⅄Qn1)=(1+1.5)=2.5
and adding variables
(φn2 x 2⅄Qn1c1) from +⅄ᐱ of A1⅄(φn2 + 2⅄Qn1c1)=(1+0.^6)=1.6
and adding variables
(φn2 x 2⅄Qn1c1) from +⅄ᐱ of A1⅄(φn2 + 2⅄Qn1c2)=(1+0.^66)=1.66
for 2⅄Qn1c2 of 2⅄Qn1cnc stem decimal variant of variable in +⅄ᐱ of A1⅄(φn2 + 2⅄Qn1cn)
While adding variables
An1 and An2 of 1⅄(φn/1⅄Qn)=(0.^6+0.9375)=1.5375
and adding variables
An1 and An2 of 1⅄(φn/2⅄Qn)=(1.^6+2.5)=4.1
While adding variables
An1 of 1⅄(φn/1⅄Qn) and An1 of 1⅄(φn/2⅄Qn)=(0.^6+1.^6)=2.2
and adding variables
An1 of 1⅄(φn/1⅄Qn) and An2 of 1⅄(φn/2⅄Qn)=(0.^6+2.5)=3.1
and adding variables
An1 of 1⅄(φn/2⅄Qn) and An2 of 1⅄(φn/1⅄Qn)=(1.^6+0.9375)=2.5375
While adding variables An1c2 with change in cn of Ancn variables
An1c2 and An2 of 1⅄(φn/1⅄Qn)=(0.^66+0.9375)=1.5975
and adding variables
An1c2 and An2 of 1⅄(φn/2⅄Qn)=(1.^66+2.5)=4.16
and adding variables of An1cn change
An1c2 of 1⅄(φn/1⅄Qn) and An1 of 1⅄(φn/2⅄Qn)=(0.^66+1.^6)=2.26
and adding variables of An1cn change
An1 of 1⅄(φn/1⅄Qn) and An1c2 of 1⅄(φn/2⅄Qn)=(0.^6+1.^66)=2.26
and adding variables of An1cn change
An1c2 of 1⅄(φn/1⅄Qn) and An1c2 of 1⅄(φn/2⅄Qn)=(0.^66+1.^66)=2.32
if Qn2c2 is factored through
An2 of 1⅄(φn3/1⅄Qn2c2)=[(Yn4/Yn3)/(Pn3/Pn2)=(3/2)/(5/3)=(1.5/1.^66)=2.49
rather than
An2 of 1⅄(φn3/1⅄Qn2)=[(Yn4/Yn3)/(Pn3/Pn2)=(3/2)/(5/3)=(1.5/1.^6)=0.9375
then a change in 1⅄Qncn applied to functions
An1 and An2 of 1⅄(φn/1⅄Qn)=(0.^6+0.9375)=1.5375 1⅄Qnc1 to 1⅄Qnc2 (0.^6+2.49)=3.09
An1 of 1⅄(φn/2⅄Qn) and An2 of 1⅄(φn/1⅄Qn)=(1.^6+0.9375)=2.5375 1⅄Qnc1 to 1⅄Qnc2 (1.^6+2.49)=4.09
An1c2 and An2 of 1⅄(φn/1⅄Qn)=(0.^66+0.9375)=1.5975 1⅄Qnc1 to 1⅄Qnc2 (0.^66+2.49)=3.15
And change in both 1⅄Qnc1 to 1⅄Qnc2 with variant An2 of 1⅄(φn/1⅄Qn)
An1c2 of 1⅄(φn/2⅄Qn) and An2 of 1⅄(φn/1⅄Qn)=(1.^66+2.49)=4.15
It is not that these order of operations are incorrect by any means given the path and extent of the defined variables decimal stem cycles have potential change and limit to the variable definition at cn of the variants.
The values are precise scale variables to the function of ƒ+⅄ᐱAn1cn of altered addition paths with variants Ancn and altered within the paths sub-units n⅄Qncn. These are addition sums from ratios divided by ratios from variables of consecutive bases in y fibonacci and p prime variables. ƒ+⅄ᐱ represents complex path multiplication function of complex ratios.
Isolating a variable to a defined ratio numeral and then factoring with PEMDAS is one factoring path while other paths are not arranged to PEMDAS order of operations.
So then if variables of (A) are applicable to multiplication function +⅄=(nncn+nncn) for new variables from set equations
∈n+⅄ᐱ(Ancn+Ancn), ∈n+⅄ᐱ(Ancn+Bncn), ∈n+⅄ᐱ(Ancn+Dncn), ∈n+⅄ᐱ(Ancn+Encn), ∈n+⅄ᐱ(Ancn+Fncn), ∈n+⅄ᐱ(Ancn+Gncn), ∈n+⅄ᐱ(Ancn+Hncn), ∈n+⅄ᐱ(Ancn+Incn), ∈n+⅄ᐱ(Ancn+Jncn), ∈n+⅄ᐱ(Ancn+Kncn), ∈n+⅄ᐱ(Ancn+Lncn), ∈n+⅄ᐱ(Ancn+Mncn), ∈n+⅄ᐱ(Ancn+Nncn), ∈n+⅄ᐱ(Ancn+Oncn), ∈n+⅄ᐱ(Ancn+Pn), ∈n+⅄ᐱ(Ancn+Qncn), ∈n+⅄ᐱ(Ancn+Rncn), ∈n+⅄ᐱ(Ancn+Sncn), ∈n+⅄ᐱ(Ancn+Tncn), ∈n+⅄ᐱ(Ancn+Uncn), ∈n+⅄ᐱ(Ancn+Vncn), ∈n+⅄ᐱ(Ancn+Wncn), ∈n+⅄ᐱ(Ancn+Yn), ∈n+⅄ᐱ(Ancn+Zncn), ∈n+⅄ᐱ(Ancn+φncn), ∈n+⅄ᐱ(Ancn+Θncn), ∈n+⅄ᐱ(Ancn+ᐱncn), ∈n+⅄ᐱ(Ancn+ᗑncn), ∈n+⅄ᐱ(Ancn+∘⧊°ncn), ∈n+⅄ᐱ(Ancn+∘∇°ncn)
And +⅄=(nncn+nncn) function is also applicable to example [Nncn of (Ancn+Nncn) + Nncn of (Ancn+Nncn)]=Nncn
Function +⅄=(nncn+nncn) is applicable with variables from varying equation set variables such as
∈n+⅄ᐱ(An+An), ∈n+⅄ᐱ(An+Bn), ∈n+⅄ᐱ(An+Dn), ∈n+⅄ᐱ(An+En), ∈n+⅄ᐱ(An+Fn), ∈n+⅄ᐱ(An+Gn), ∈n+⅄ᐱ(An+Hn), ∈n+⅄ᐱ(An+In), ∈n+⅄ᐱ(An+Jn), ∈n+⅄ᐱ(An+Kn), ∈n+⅄ᐱ(An+Ln), ∈n+⅄ᐱ(An+Mn), ∈n+⅄ᐱ(An+Nn), ∈n+⅄ᐱ(An+On), ∈n+⅄ᐱ(An+Pn), ∈n+⅄ᐱ(An+Qn), ∈n+⅄ᐱ(An+Rn), ∈n+⅄ᐱ(An+Sn), ∈n+⅄ᐱ(An+Tn),∈n+⅄ᐱ(An+Un), ∈n+⅄ᐱ(An+Vn), ∈n+⅄ᐱ(An+Wn), ∈n+⅄ᐱ(An+Yn), ∈n+⅄ᐱ(An+Zn), ∈n+⅄ᐱ(An+φn), ∈n+⅄ᐱ(An+Θn), ∈n+⅄ᐱ(An+Ψn), ∈n+⅄ᐱ(Ancn+ᐱncn), ∈n+⅄ᐱ(Ancn+ᗑncn), ∈n+⅄ᐱ(Ancn+∘⧊°ncn), ∈n+⅄ᐱ(Ancn+∘∇°ncn)
∈n+⅄ᐱ(Bn+An), ∈n+⅄ᐱ(Bn+Bn), ∈n+⅄ᐱ(Bn+Dn), ∈n+⅄ᐱ(Bn+En), ∈n+⅄ᐱ(Bn+Fn), ∈n+⅄ᐱ(Bn+Gn), ∈n+⅄ᐱ(Bn+Hn), ∈n+⅄ᐱ(Bn+In), ∈n+⅄ᐱ(Bn+Jn), ∈n+⅄ᐱ(Bn+Kn), ∈n+⅄ᐱ(Bn+Ln), ∈n+⅄ᐱ(Bn+Mn), ∈n+⅄ᐱ(Bn+Nn), ∈n+⅄ᐱ(Bn+On), ∈n+⅄ᐱ(Bn+Pn), ∈n+⅄ᐱ(Bn+Qn), ∈n+⅄ᐱ(Bn+Rn), ∈n+⅄ᐱ(Bn+Sn), ∈n+⅄ᐱ(Bn+Tn),∈n+⅄ᐱ(Bn+Un), ∈n+⅄ᐱ(Bn+Vn), ∈n+⅄ᐱ(Bn+Wn), ∈n+⅄ᐱ(Bn+Yn), ∈n+⅄ᐱ(Bn+Zn), ∈n+⅄ᐱ(Bn+φn), ∈n+⅄ᐱ(Bn+Θn), ∈n+⅄ᐱ(Bn+Ψn), ∈n+⅄ᐱ(Bncn+ᐱncn), ∈n+⅄ᐱ(Bncn+ᗑncn), ∈n+⅄ᐱ(Bncn+∘⧊°ncn), ∈n+⅄ᐱ(Bncn+∘∇°ncn)
∈n+⅄ᐱ(Dn+An), ∈n+⅄ᐱ(Dn+Bn), ∈n+⅄ᐱ(Dn+Dn), ∈n+⅄ᐱ(Dn+En), ∈n+⅄ᐱ(Dn+Fn), ∈n+⅄ᐱ(Dn+Gn), ∈n+⅄ᐱ(Dn+Hn), ∈n+⅄ᐱ(Dn+In), ∈n+⅄ᐱ(Dn+Jn), ∈n+⅄ᐱ(Dn+Kn), ∈n+⅄ᐱ(Dn+Ln), ∈n+⅄ᐱ(Dn+Mn), ∈n+⅄ᐱ(Dn+Nn), ∈n+⅄ᐱ(Dn+On), ∈n+⅄ᐱ(Dn+Pn), ∈n+⅄ᐱ(Dn+Qn), ∈n+⅄ᐱ(Dn+Rn), ∈n+⅄ᐱ(Dn+Sn), ∈n+⅄ᐱ(Dn+Tn),∈n+⅄ᐱ(Dn+Un), ∈n+⅄ᐱ(Dn+Vn), ∈n+⅄ᐱ(Dn+Wn), ∈n+⅄ᐱ(Dn+Yn), ∈n+⅄ᐱ(Dn+Zn), ∈n+⅄ᐱ(Dn+φn), ∈n+⅄ᐱ(Dn+Θn), ∈n+⅄ᐱ(Dn+Ψn), ∈n+⅄ᐱ(Dncn+ᐱncn), ∈n+⅄ᐱ(Dncn+ᗑncn), ∈n+⅄ᐱ(Dncn+∘⧊°ncn), ∈n+⅄ᐱ(Dncn+∘∇°ncn)
∈n+⅄ᐱ(En+An), ∈n+⅄ᐱ(En+Bn), ∈n+⅄ᐱ(En+Dn), ∈n+⅄ᐱ(En+En), ∈n+⅄ᐱ(En+Fn), ∈n+⅄ᐱ(En+Gn), ∈n+⅄ᐱ(En+Hn), ∈n+⅄ᐱ(En+In), ∈n+⅄ᐱ(En+Jn), ∈n+⅄ᐱ(En+Kn), ∈n+⅄ᐱ(En+Ln), ∈n+⅄ᐱ(En+Mn), ∈n+⅄ᐱ(En+Nn), ∈n+⅄ᐱ(En+On), ∈n+⅄ᐱ(En+Pn), ∈n+⅄ᐱ(En+⅄Qn), ∈n+⅄ᐱ(En+Rn), ∈n+⅄ᐱ(En+Sn), ∈n+⅄ᐱ(En+Tn),∈n+⅄ᐱ(En+Un), ∈n+⅄ᐱ(En+Vn), ∈n+⅄ᐱ(En+Wn), ∈n+⅄ᐱ(En+Yn), ∈n+⅄ᐱ(En+Zn), ∈n+⅄ᐱ(En+φn), ∈n+⅄ᐱ(En+Θn), ∈n+⅄ᐱ(En+Ψn), ∈n+⅄ᐱ(Encn+ᐱncn), ∈n+⅄ᐱ(Encn+ᗑncn), ∈n+⅄ᐱ(Encn+∘⧊°ncn), ∈n+⅄ᐱ(Encn+∘∇°ncn)
∈n+⅄ᐱ(Fn+An), ∈n+⅄ᐱ(Fnx+Bn), ∈n+⅄ᐱ(Fn+Dn), ∈n+⅄ᐱ(Fn+En), ∈n+⅄ᐱ(Fn+Fn), ∈n+⅄ᐱ(Fn+Gn), ∈n+⅄ᐱ(Fn+Hn), ∈n+⅄ᐱ(Fn+In), ∈n+⅄ᐱ(Fn+Jn), ∈n+⅄ᐱ(Fn+Kn), ∈n+⅄ᐱ(Fn+Ln), ∈n+⅄ᐱ(Fn+Mn), ∈n+⅄ᐱ(Fn+Nn), ∈n+⅄ᐱ(Fn+On), ∈n+⅄ᐱ(Fn+Pn), ∈n+⅄ᐱ(Fn+Qn), ∈n+⅄ᐱ(Fn+Rn), ∈n+⅄ᐱ(Fn+Sn), ∈n+⅄ᐱ(Fn+Tn),∈n+⅄ᐱ(Fn+Un), ∈n+⅄ᐱ(Fn+Vn), ∈n+⅄ᐱ(Fn+Wn), ∈n+⅄ᐱ(Fn+Yn), ∈n+⅄ᐱ(Fn+Zn), ∈n+⅄ᐱ(Fn+φn), ∈n+⅄ᐱ(Fn+Θn), ∈n+⅄ᐱ(Fn+Ψn), ∈n+⅄ᐱ(Fncn+ᐱncn), ∈n+⅄ᐱ(Fncn+ᗑncn), ∈n+⅄ᐱ(Fncn+∘⧊°ncn), ∈n+⅄ᐱ(Fncn+∘∇°ncn)
∈n+⅄ᐱ(Gn+An), ∈n+⅄ᐱ(Gn+Bn), ∈n+⅄ᐱ(Gn+Dn), ∈n+⅄ᐱ(Gn+En), ∈n+⅄ᐱ(Gn+Fn), ∈n+⅄ᐱ(Gn+Gn), ∈n+⅄ᐱ(Gn+Hn), ∈n+⅄ᐱ(Gn+In), ∈n+⅄ᐱ(Gn+Jn), ∈n+⅄ᐱ(Gn+Kn), ∈n+⅄ᐱ(Gn+Ln), ∈n+⅄ᐱ(Gn+Mn), ∈n+⅄ᐱ(Gn+Nn), ∈n+⅄ᐱ(Gn+On), ∈n+⅄ᐱ(Gn+Pn), ∈n+⅄ᐱ(Gn+Qn), ∈n+⅄ᐱ(Gn+Rn), ∈n+⅄ᐱ(Gn+Sn), ∈n+⅄ᐱ(Gn+Tn),∈n+⅄ᐱ(Gn+Un), ∈n+⅄ᐱ(Gn+Vn), ∈n+⅄ᐱ(Gn+Wn), ∈n+⅄ᐱ(Gn+Yn), ∈n+⅄ᐱ(Gn+Zn), ∈n+⅄ᐱ(Gn+φn), ∈n+⅄ᐱ(Gn+Θn), ∈n+⅄ᐱ(Gn+Ψn), ∈n+⅄ᐱ(Gncn+ᐱncn), ∈n+⅄ᐱ(Gncn+ᗑncn), ∈n+⅄ᐱ(Gncn+∘⧊°ncn), ∈n+⅄ᐱ(Gncn+∘∇°ncn)
∈n+⅄ᐱ(Hn+An), ∈n+⅄ᐱ(Hn+Bn), ∈n+⅄ᐱ(Hn+Dn), ∈n+⅄ᐱ(Hn+En), ∈n+⅄ᐱ(Hn+Fn), ∈n+⅄ᐱ(Hn+Gn), ∈n+⅄ᐱ(Hn+Hn), ∈n+⅄ᐱ(Hn+In), ∈n+⅄ᐱ(Hn+Jn), ∈n+⅄ᐱ(Hn+Kn), ∈n+⅄ᐱ(Hn+Ln), ∈n+⅄ᐱ(Hn+Mn), ∈n+⅄ᐱ(Hn+Nn), ∈n+⅄ᐱ(Hn+On), ∈n+⅄ᐱ(Hn+Pn), ∈n+⅄ᐱ(Hn+Qn), ∈n+⅄ᐱ(Hn+Rn), ∈n+⅄ᐱ(Hn+Sn), ∈n+⅄ᐱ(Hn+Tn),∈n+⅄ᐱ(Hn+Un), ∈n+⅄ᐱ(Hn+Vn), ∈n+⅄ᐱ(Hn+Wn), ∈n+⅄ᐱ(Hn+Yn), ∈n+⅄ᐱ(Hn+Zn), ∈n+⅄ᐱ(Hn+φn), ∈n+⅄ᐱ(Hn+Θn), ∈n+⅄ᐱ(Hn+Ψn), ∈n+⅄ᐱ(Hncn+ᐱncn), ∈n+⅄ᐱ(Hncn+ᗑncn), ∈n+⅄ᐱ(Hncn+∘⧊°ncn), ∈n+⅄ᐱ(Hncn+∘∇°ncn)
∈n+⅄ᐱ(In+An), ∈n+⅄ᐱ(In+Bn), ∈n+⅄ᐱ(In+Dn), ∈n+⅄ᐱ(In+En), ∈n+⅄ᐱ(In+Fn), ∈n+⅄ᐱ(In+Gn), ∈n+⅄ᐱ(In+Hn), ∈n+⅄ᐱ(In+In), ∈n+⅄ᐱ(In+Jn), ∈n+⅄ᐱ(In+Kn), ∈n+⅄ᐱ(In+Ln), ∈n+⅄ᐱ(In+Mn), ∈n+⅄ᐱ(In+Nn), ∈n+⅄ᐱ(In+On), ∈n+⅄ᐱ(In+Pn), ∈n+⅄ᐱ(In+Qn), ∈n+⅄ᐱ(In+Rn), ∈n+⅄ᐱ(In+Sn), ∈n+⅄ᐱ(In+Tn),∈n+⅄ᐱ(In+Un), ∈n+⅄ᐱ(In+Vn), ∈n+⅄ᐱ(In+Wn), ∈n+⅄ᐱ(In+Yn), ∈n+⅄ᐱ(In+Zn), ∈n+⅄ᐱ(In+φn), ∈n+⅄ᐱ(In+Θn), ∈n+⅄ᐱ(In+Ψn), ∈n+⅄ᐱ(Incn+ᐱncn), ∈n+⅄ᐱ(Incn+ᗑncn), ∈n+⅄ᐱ(Incn+∘⧊°ncn), ∈n+⅄ᐱ(Incn+∘∇°ncn)
∈n+⅄ᐱ(Jn+An), ∈n+⅄ᐱ(Jn+Bn), ∈n+⅄ᐱ(Jn+Dn), ∈n+⅄ᐱ(Jn+En), ∈n+⅄ᐱ(Jn+Fn), ∈n+⅄ᐱ(Jn+Gn), ∈n+⅄ᐱ(Jn+Hn), ∈n+⅄ᐱ(Jn+In), ∈n+⅄ᐱ(Jn+Jn), ∈n+⅄ᐱ(Jn+Kn), ∈n+⅄ᐱ(Jn+Ln), ∈n+⅄ᐱ(Jn+Mn), ∈n+⅄ᐱ(Jn+Nn), ∈n+⅄ᐱ(Jn+On), ∈n+⅄ᐱ(Jn+Pn), ∈n+⅄ᐱ(Jn+Qn), ∈n+⅄ᐱ(Jn+Rn), ∈n+⅄ᐱ(Jn+Sn), ∈n+⅄ᐱ(Jn+Tn),∈n+⅄ᐱ(Jn+Un), ∈n+⅄ᐱ(Jn+Vn), ∈n+⅄ᐱ(Jn+Wn), ∈n+⅄ᐱ(Jn+Yn), ∈n+⅄ᐱ(Jn+Zn), ∈n+⅄ᐱ(Jn+φn), ∈n+⅄ᐱ(Jn+Θn), ∈n+⅄ᐱ(Jn+Ψn), ∈n+⅄ᐱ(Jncn+ᐱncn), ∈n+⅄ᐱ(Jncn+ᗑncn), ∈n+⅄ᐱ(Jncn+∘⧊°ncn), ∈n+⅄ᐱ(Jncn+∘∇°ncn)
∈n+⅄ᐱ(Kn+An), ∈n+⅄ᐱ(Kn+Bn), ∈n+⅄ᐱ(Kn+Dn), ∈n+⅄ᐱ(Kn+En), ∈n+⅄ᐱ(Kn+Fn), ∈n+⅄ᐱ(Kn+Gn), ∈n+⅄ᐱ(Kn+Hn), ∈n+⅄ᐱ(Kn+In), ∈n+⅄ᐱ(Kn+Jn), ∈n+⅄ᐱ(Kn+Kn), ∈n+⅄ᐱ(Kn+Ln), ∈n+⅄ᐱ(Kn+Mn), ∈n+⅄ᐱ(Kn+Nn), ∈n+⅄ᐱ(Kn+On), ∈n+⅄ᐱ(Kn+Pn), ∈n+⅄ᐱ(Kn+Qn), ∈n+⅄ᐱ(Kn+Rn), ∈n+⅄ᐱ(Kn+Sn), ∈n+⅄ᐱ(Kn+Tn),∈n+⅄ᐱ(Kn+Un), ∈n+⅄ᐱ(Kn+Vn), ∈n+⅄ᐱ(Kn+Wn), ∈n+⅄ᐱ(Kn+Yn), ∈n+⅄ᐱ(Kn+Zn), ∈n+⅄ᐱ(Kn+φn), ∈n+⅄ᐱ(Kn+Θn), ∈n+⅄ᐱ(Kn+Ψn), ∈n+⅄ᐱ(Kncn+ᐱncn), ∈n+⅄ᐱ(Kncn+ᗑncn), ∈n+⅄ᐱ(Kncn+∘⧊°ncn), ∈n+⅄ᐱ(Kncn+∘∇°ncn)
∈n+⅄ᐱ(Ln+An), ∈n+⅄ᐱ(Ln+Bn), ∈n+⅄ᐱ(Ln+Dn), ∈n+⅄ᐱ(Ln+En), ∈n+⅄ᐱ(Ln+Fn), ∈n+⅄ᐱ(Ln+Gn), ∈n+⅄ᐱ(Ln+Hn), ∈n+⅄ᐱ(Ln+In), ∈n+⅄ᐱ(Ln+Jn), ∈n+⅄ᐱ(Ln+Kn), ∈n+⅄ᐱ(Ln+Ln), ∈n+⅄ᐱ(Ln+Mn), ∈n+⅄ᐱ(Ln+Nn), ∈n+⅄ᐱ(Ln+On), ∈n+⅄ᐱ(Ln+Pn), ∈n+⅄ᐱ(Ln+Qn), ∈n+⅄ᐱ(Ln+Rn), ∈n+⅄ᐱ(Ln+Sn), ∈n+⅄ᐱ(Ln+Tn),∈n+⅄ᐱ(Ln+Un), ∈n+⅄ᐱ(Ln+Vn), ∈n+⅄ᐱ(Ln+Wn), ∈n+⅄ᐱ(Ln+Yn), ∈n+⅄ᐱ(Ln+Zn), ∈n+⅄ᐱ(Ln+φn), ∈n+⅄ᐱ(Ln+Θn), ∈n+⅄ᐱ(Ln+Ψn), ∈n+⅄ᐱ(Lncn+ᐱncn), ∈n+⅄ᐱ(Lncn+ᗑncn), ∈n+⅄ᐱ(Lncn+∘⧊°ncn), ∈n+⅄ᐱ(Lncn+∘∇°ncn)
∈n+⅄ᐱ(Mn+An), ∈n+⅄ᐱ(Mn+Bn), ∈n+⅄ᐱ(Mn+Dn), ∈n+⅄ᐱ(Mn+En), ∈n+⅄ᐱ(Mn+Fn), ∈n+⅄ᐱ(Mn+Gn), ∈n+⅄ᐱ(Mn+Hn), ∈n+⅄ᐱ(Mn+In), ∈n+⅄ᐱ(Mn+Jn), ∈n+⅄ᐱ(Mn+Kn), ∈n+⅄ᐱ(Mn+Ln), ∈n+⅄ᐱ(Mn+Mn), ∈n+⅄ᐱ(Mn+Nn), ∈n+⅄ᐱ(Mn+On), ∈n+⅄ᐱ(Mn+Pn), ∈n+⅄ᐱ(Mn+Qn), ∈n+⅄ᐱ(Mn+Rn), ∈n+⅄ᐱ(Mn+Sn), ∈n+⅄ᐱ(Mn+Tn),∈n+⅄ᐱ(Mn+Un), ∈n+⅄ᐱ(Mn+Vn), ∈n+⅄ᐱ(Mn+Wn), ∈n+⅄ᐱ(Mn+Yn), ∈n+⅄ᐱ(Mn+Zn), ∈n+⅄ᐱ(Mn+φn), ∈n+⅄ᐱ(Mn+Θn), ∈n+⅄ᐱ(Mn+Ψn), ∈n+⅄ᐱ(Mncn+ᐱncn), ∈n+⅄ᐱ(Mncn+ᗑncn), ∈n+⅄ᐱ(Mncn+∘⧊°ncn), ∈n+⅄ᐱ(Mncn+∘∇°ncn)
∈n+⅄ᐱ(Nn+An), ∈n+⅄ᐱ(Nn+Bn), ∈n+⅄ᐱ(Nn+Dn), ∈n+⅄ᐱ(Nn+En), ∈n+⅄ᐱ(Nn+Fn), ∈n+⅄ᐱ(Nn+Gn), ∈n+⅄ᐱ(Nn+Hn), ∈n+⅄ᐱ(Nn+In), ∈n+⅄ᐱ(Nn+Jn), ∈n+⅄ᐱ(Nn+Kn), ∈n+⅄ᐱ(Nn+Ln), ∈n+⅄ᐱ(Nn+Mn), ∈n+⅄ᐱ(Nn+Nn), ∈n+⅄ᐱ(Nn+On), ∈n+⅄ᐱ(Nn+Pn), ∈n+⅄ᐱ(Nn+Qn), ∈n+⅄ᐱ(Nn+Rn), ∈n+⅄ᐱ(Nn+Sn), ∈n+⅄ᐱ(Nn+Tn),∈n+⅄ᐱ(Nn+Un), ∈n+⅄ᐱ(Nn+Vn), ∈n+⅄ᐱ(Nn+Wn), ∈n+⅄ᐱ(Nn+Yn), ∈n+⅄ᐱ(Nn+Zn), ∈n+⅄ᐱ(Nn+φn), ∈n+⅄ᐱ(Nn+Θn), ∈n+⅄ᐱ(Nn+Ψn), ∈n+⅄ᐱ(Nncn+ᐱncn), ∈n+⅄ᐱ(Nncn+ᗑncn), ∈n+⅄ᐱ(Nncn+∘⧊°ncn), ∈n+⅄ᐱ(Nncn+∘∇°ncn)
∈n+⅄ᐱ(On+An), ∈n+⅄ᐱ(On+Bn), ∈n+⅄ᐱ(On+Dn), ∈n+⅄ᐱ(On+En), ∈n+⅄ᐱ(On+Fn), ∈n+⅄ᐱ(On+Gn), ∈n+⅄ᐱ(On+Hn), ∈n+⅄ᐱ(On+In), ∈n+⅄ᐱ(On+Jn), ∈n+⅄ᐱ(On+Kn), ∈n+⅄ᐱ(On+Ln), ∈n+⅄ᐱ(On+Mn), ∈n+⅄ᐱ(On+Nn), ∈n+⅄ᐱ(On+On), ∈n+⅄ᐱ(On+Pn), ∈n+⅄ᐱ(On+Qn), ∈n+⅄ᐱ(On+Rn), ∈n+⅄ᐱ(On+Sn), ∈n+⅄ᐱ(On+Tn),∈n+⅄ᐱ(On+Un), ∈n+⅄ᐱ(On+Vn), ∈n+⅄ᐱ(On+Wn), ∈n+⅄ᐱ(On+Yn), ∈n+⅄ᐱ(On+Zn), ∈n+⅄ᐱ(On+φn), ∈n+⅄ᐱ(On+Θn), ∈n+⅄ᐱ(On+Ψn), ∈n+⅄ᐱ(Oncn+ᐱncn), ∈n+⅄ᐱ(Oncn+ᗑncn), ∈n+⅄ᐱ(Oncn+∘⧊°ncn), ∈n+⅄ᐱ(Oncn+∘∇°ncn)
∈n+⅄ᐱ(Pn+An), ∈n+⅄ᐱ(Pn+Bn), ∈n+⅄ᐱ(Pn+Dn), ∈n+⅄ᐱ(Pn+En), ∈n+⅄ᐱ(Pn+Fn), ∈n+⅄ᐱ(Pn+Gn), ∈n+⅄ᐱ(Pn+Hn), ∈n+⅄ᐱ(Pn+In), ∈n+⅄ᐱ(Pn+Jn), ∈n+⅄ᐱ(Pn+Kn), ∈n+⅄ᐱ(Pn+Ln), ∈n+⅄ᐱ(Pn+Mn), ∈n+⅄ᐱ(Pn+Nn), ∈n+⅄ᐱ(Pn+On), ∈n+⅄ᐱ(Pn+Pn), ∈n+⅄ᐱ(Pn+Qn), ∈n+⅄ᐱ(Pn+Rn), ∈n+⅄ᐱ(Pn+Sn), ∈n+⅄ᐱ(Pn+Tn),∈n+⅄ᐱ(Pn+Un), ∈n+⅄ᐱ(Pn+Vn), ∈n+⅄ᐱ(Pn+Wn), ∈n+⅄ᐱ(Pn+Yn), ∈n+⅄ᐱ(Pn+Zn), ∈n+⅄ᐱ(Pn+φn), ∈n+⅄ᐱ(Pn+Θn), ∈n+⅄ᐱ(Pn+Ψn), ∈n+⅄ᐱ(Pncn+ᐱncn), ∈n+⅄ᐱ(Pncn+ᗑncn), ∈n+⅄ᐱ(Pncn+∘⧊°ncn), ∈n+⅄ᐱ(Pncn+∘∇°ncn)
∈n+⅄ᐱ(Qn+An), ∈n+⅄ᐱ(Qn+Bn), ∈n+⅄ᐱ(Qn+Dn), ∈n+⅄ᐱ(Qn+En), ∈n+⅄ᐱ(Qn+Fn), ∈n+⅄ᐱ(Qn+Gn), ∈n+⅄ᐱ(Qn+Hn), ∈n+⅄ᐱ(Qn+In), ∈n+⅄ᐱ(Qn+Jn), ∈n+⅄ᐱ(Qn+Kn), ∈n+⅄ᐱ(Qn+Ln), ∈n+⅄ᐱ(Qn+Mn), ∈n+⅄ᐱ(Qn+Nn), ∈n+⅄ᐱ(Qn+On), ∈n+⅄ᐱ(Qn+Pn), ∈n+⅄ᐱ(Qn+Qn), ∈n+⅄ᐱ(Qn+Rn), ∈n+⅄ᐱ(Qn+Sn), ∈n+⅄ᐱ(Qn+Tn),∈n+⅄ᐱ(Qn+Un), ∈n+⅄ᐱ(Qn+Vn), ∈n+⅄ᐱ(Qn+Wn), ∈n+⅄ᐱ(Qn+Yn), ∈n+⅄ᐱ(Qn+Zn), ∈n+⅄ᐱ(Qn+φn), ∈n+⅄ᐱ(Qn+Θn), ∈n+⅄ᐱ(Qn+Ψn), ∈n+⅄ᐱ(Qncn+ᐱncn), ∈n+⅄ᐱ(Qncn+ᗑncn), ∈n+⅄ᐱ(Qncn+∘⧊°ncn), ∈n+⅄ᐱ(Qncn+∘∇°ncn)
∈n+⅄ᐱ(Rn+An), ∈n+⅄ᐱ(Rn+Bn), ∈n+⅄ᐱ(Rn+Dn), ∈n+⅄ᐱ(Rn+En), ∈n+⅄ᐱ(Rn+Fn), ∈n+⅄ᐱ(Rn+Gn), ∈n+⅄ᐱ(Rn+Hn), ∈n+⅄ᐱ(Rn+In), ∈n+⅄ᐱ(Rn+Jn), ∈n+⅄ᐱ(Rn+Kn), ∈n+⅄ᐱ(Rn+Ln), ∈n+⅄ᐱ(Rn+Mn), ∈n+⅄ᐱ(Rn+Nn), ∈n+⅄ᐱ(Rn+On), ∈n+⅄ᐱ(Rn+Pn), ∈n+⅄ᐱ(Rn+Qn), ∈n+⅄ᐱ(Rn+Rn), ∈n+⅄ᐱ(Rn+Sn), ∈n+⅄ᐱ(Rn+Tn),∈n+⅄ᐱ(Rn+Un), ∈n+⅄ᐱ(Rn+Vn), ∈n+⅄ᐱ(Rn+Wn), ∈n+⅄ᐱ(Rn+Yn), ∈n+⅄ᐱ(Rn+Zn), ∈n+⅄ᐱ(Rn+φn), ∈n+⅄ᐱ(Rn+Θn), ∈n+⅄ᐱ(Rn+Ψn), ∈n+⅄ᐱ(Rncn+ᐱncn), ∈n+⅄ᐱ(Rncn+ᗑncn), ∈n+⅄ᐱ(Rncn+∘⧊°ncn), ∈n+⅄ᐱ(Rncn+∘∇°ncn)
∈n+⅄ᐱ(Sn+An), ∈n+⅄ᐱ(Sn+Bn), ∈n+⅄ᐱ(Sn+Dn), ∈n+⅄ᐱ(Sn+En), ∈n+⅄ᐱ(Sn+Fn), ∈n+⅄ᐱ(Sn+Gn), ∈n+⅄ᐱ(Sn+Hn), ∈n+⅄ᐱ(Sn+In), ∈n+⅄ᐱ(Sn+Jn), ∈n+⅄ᐱ(Sn+Kn), ∈n+⅄ᐱ(Sn+Ln), ∈n+⅄ᐱ(Sn+Mn), ∈n+⅄ᐱ(Sn+Nn), ∈n+⅄ᐱ(Sn+On), ∈n+⅄ᐱ(Sn+Pn), ∈n+⅄ᐱ(Sn+Qn), ∈n+⅄ᐱ(Sn+Rn), ∈n+⅄ᐱ(Sn+Sn), ∈n+⅄ᐱ(Sn+Tn),∈n+⅄ᐱ(Sn+Un), ∈n+⅄ᐱ(Sn+Vn), ∈n+⅄ᐱ(Sn+Wn), ∈n+⅄ᐱ(Sn+Yn), ∈n+⅄ᐱ(Sn+Zn), ∈n+⅄ᐱ(Sn+φn), ∈n+⅄ᐱ(Sn+Θn), ∈n+⅄ᐱ(Sn+Ψn), ∈n+⅄ᐱ(Sncn+ᐱncn), ∈n+⅄ᐱ(Sncn+ᗑncn), ∈n+⅄ᐱ(Sncn+∘⧊°ncn), ∈n+⅄ᐱ(Sncn+∘∇°ncn)
∈n+⅄ᐱ(Tn+An), ∈n+⅄ᐱ(Tn+Bn), ∈n+⅄ᐱ(Tn+Dn), ∈n+⅄ᐱ(Tn+En), ∈n+⅄ᐱ(Tn+Fn), ∈n+⅄ᐱ(Tn+Gn), ∈n+⅄ᐱ(Tn+Hn), ∈n+⅄ᐱ(Tn+In), ∈n+⅄ᐱ(Tn+Jn), ∈n+⅄ᐱ(Tn+Kn), ∈n+⅄ᐱ(Tn+Ln), ∈n+⅄ᐱ(Tn+Mn), ∈n+⅄ᐱ(Tn+Nn), ∈n+⅄ᐱ(Tn+On), ∈n+⅄ᐱ(Tn+Pn), ∈n+⅄ᐱ(Tn+Qn), ∈n+⅄ᐱ(Tn+Rn), ∈n+⅄ᐱ(Tn+Sn), ∈n+⅄ᐱ(Tn+Tn),∈n+⅄ᐱ(Tn+Un), ∈n+⅄ᐱ(Tn+Vn), ∈n+⅄ᐱ(Tn+Wn), ∈n+⅄ᐱ(Tn+Yn), ∈n+⅄ᐱ(Tn+Zn), ∈n+⅄ᐱ(Tn+φn), ∈n+⅄ᐱ(Tn+Θn), ∈n+⅄ᐱ(Tn+Ψn), ∈n+⅄ᐱ(Tncn+ᐱncn), ∈n+⅄ᐱ(Tncn+ᗑncn), ∈n+⅄ᐱ(Tncn+∘⧊°ncn), ∈n+⅄ᐱ(Tncn+∘∇°ncn)
∈n+⅄ᐱ(Un+An), ∈n+⅄ᐱ(Un+Bn), ∈n+⅄ᐱ(Un+Dn), ∈n+⅄ᐱ(Un+En), ∈n+⅄ᐱ(Un+Fn), ∈n+⅄ᐱ(Un+Gn), ∈n+⅄ᐱ(Un+Hn), ∈n+⅄ᐱ(Un+In), ∈n+⅄ᐱ(Un+Jn), ∈n+⅄ᐱ(Un+Kn), ∈n+⅄ᐱ(Un+Ln), ∈n+⅄ᐱ(Un+Mn), ∈n+⅄ᐱ(Un+Nn), ∈n+⅄ᐱ(Un+On), ∈n+⅄ᐱ(Un+Pn), ∈n+⅄ᐱ(Un+Qn), ∈n+⅄ᐱ(Un+Rn), ∈n+⅄ᐱ(Un+Sn), ∈n+⅄ᐱ(Un+Tn),∈n+⅄ᐱ(Un+Un), ∈n+⅄ᐱ(Un+Vn), ∈n+⅄ᐱ(Un+Wn), ∈n+⅄ᐱ(Un+Yn), ∈n+⅄ᐱ(Un+Zn), ∈n+⅄ᐱ(Un+φn), ∈n+⅄ᐱ(Un+Θn), ∈n+⅄ᐱ(Un+Ψn), ∈n+⅄ᐱ(Uncn+ᐱncn), ∈n+⅄ᐱ(Uncn+ᗑncn), ∈n+⅄ᐱ(Uncn+∘⧊°ncn), ∈n+⅄ᐱ(Uncn+∘∇°ncn)
∈n+⅄ᐱ(Vn+An), ∈n+⅄ᐱ(Vn+Bn), ∈n+⅄ᐱ(Vn+Dn), ∈n+⅄ᐱ(Vn+En), ∈n+⅄ᐱ(Vn+Fn), ∈n+⅄ᐱ(Vn+Gn), ∈n+⅄ᐱ(Vn+Hn), ∈n+⅄ᐱ(Vn+In), ∈n+⅄ᐱ(Vn+Jn), ∈n+⅄ᐱ(Vn+Kn), ∈n+⅄ᐱ(Vn+Ln), ∈n+⅄ᐱ(Vn+Mn), ∈n+⅄ᐱ(Vn+Nn), ∈n+⅄ᐱ(Vn+On), ∈n+⅄ᐱ(Vn+Pn), ∈n+⅄ᐱ(Vn+Qn), ∈n+⅄ᐱ(Vn+Rn), ∈n+⅄ᐱ(Vn+Sn), ∈n+⅄ᐱ(Vn+Tn),∈n+⅄ᐱ(Vn+Un), ∈n+⅄ᐱ(Vn+Vn), ∈n+⅄ᐱ(Vn+Wn), ∈n+⅄ᐱ(Vn+Yn), ∈n+⅄ᐱ(Vn+Zn), ∈n+⅄ᐱ(Vn+φn), ∈n+⅄ᐱ(Vn+Θn), ∈n+⅄ᐱ(Vn+Ψn), ∈n+⅄ᐱ(Vncn+ᐱncn), ∈n+⅄ᐱ(Vncn+ᗑncn), ∈n+⅄ᐱ(Vncn+∘⧊°ncn), ∈n+⅄ᐱ(Vncn+∘∇°ncn)
∈n+⅄ᐱ(Wn+An), ∈n+⅄ᐱ(Wn+Bn), ∈n+⅄ᐱ(Wn+Dn), ∈n+⅄ᐱ(Wn+En), ∈n+⅄ᐱ(Wn+Fn), ∈n+⅄ᐱ(Wn+Gn), ∈n+⅄ᐱ(Wn+Hn), ∈n+⅄ᐱ(Wn+In), ∈n+⅄ᐱ(Wn+Jn), ∈n+⅄ᐱ(Wn+Kn), ∈n+⅄ᐱ(Wn+Ln), ∈n+⅄ᐱ(Wn+Mn), ∈n+⅄ᐱ(Wn+Nn), ∈n+⅄ᐱ(Wn+On), ∈n+⅄ᐱ(Wn+Pn), ∈n+⅄ᐱ(Wn+Qn), ∈n+⅄ᐱ(Wn+Rn), ∈n+⅄ᐱ(Wn+Sn), ∈n+⅄ᐱ(Wn+Tn),∈n+⅄ᐱ(Wn+Un), ∈n+⅄ᐱ(Wn+Vn), ∈n+⅄ᐱ(Wn+Wn), ∈n+⅄ᐱ(Wn+Yn), ∈n+⅄ᐱ(Wn+Zn), ∈n+⅄ᐱ(Wn+φn), ∈n+⅄ᐱ(Wn+Θn), ∈n+⅄ᐱ(Wn+Ψn), ∈n+⅄ᐱ(Wncn+ᐱncn), ∈n+⅄ᐱ(Wncn+ᗑncn), ∈n+⅄ᐱ(Wncn+∘⧊°ncn), ∈n+⅄ᐱ(Wncn+∘∇°ncn)
∈n+⅄ᐱ(Yn+An), ∈n+⅄ᐱ(Yn+Bn), ∈n+⅄ᐱ(Yn+Dn), ∈n+⅄ᐱ(Yn+En), ∈n+⅄ᐱ(Yn+Fn), ∈n+⅄ᐱ(Yn+Gn), ∈n+⅄ᐱ(Yn+Hn), ∈n+⅄ᐱ(Yn+In), ∈n+⅄ᐱ(Yn+Jn), ∈n+⅄ᐱ(Yn+Kn), ∈n+⅄ᐱ(Yn+Ln), ∈n+⅄ᐱ(Yn+Mn), ∈n+⅄ᐱ(Yn+Nn), ∈n+⅄ᐱ(Yn+On), ∈n+⅄ᐱ(Yn+Pn), ∈n+⅄ᐱ(Yn+Qn), ∈n+⅄ᐱ(Yn+Rn), ∈n+⅄ᐱ(Yn+Sn), ∈n+⅄ᐱ(Yn+Tn),∈n+⅄ᐱ(Yn+Un), ∈n+⅄ᐱ(Yn+Vn), ∈n+⅄ᐱ(Yn+Wn), ∈n+⅄ᐱ(Yn+Yn), ∈n+⅄ᐱ(Yn+Zn), ∈n+⅄ᐱ(Yn+φn), ∈n+⅄ᐱ(Yn+Θn), ∈n+⅄ᐱ(Yn+Ψn), ∈n+⅄ᐱ(Yncn+ᐱncn), ∈n+⅄ᐱ(Yncn+ᗑncn), ∈n+⅄ᐱ(Yncn+∘⧊°ncn), ∈n+⅄ᐱ(Yncn+∘∇°ncn)
∈n+⅄ᐱ(Zn+An), ∈n+⅄ᐱ(Zn+Bn), ∈n+⅄ᐱ(Zn+Dn), ∈n+⅄ᐱ(Zn+En), ∈n+⅄ᐱ(Zn+Fn), ∈n+⅄ᐱ(Zn+Gn), ∈n+⅄ᐱ(Zn+Hn), ∈n+⅄ᐱ(Zn+In), ∈n+⅄ᐱ(Zn+Jn), ∈n+⅄ᐱ(Zn+Kn), ∈n+⅄ᐱ(Zn+Ln), ∈n+⅄ᐱ(Zn+Mn), ∈n+⅄ᐱ(Zn+Nn), ∈n+⅄ᐱ(Zn+On), ∈n+⅄ᐱ(Zn+Pn), ∈n+⅄ᐱ(Zn+Qn), ∈n+⅄ᐱ(Zn+Rn), ∈n+⅄ᐱ(Zn+Sn), ∈n+⅄ᐱ(Zn+Tn),∈n+⅄ᐱ(Zn+Un), ∈n+⅄ᐱ(Zn+Vn), ∈n+⅄ᐱ(Zn+Wn), ∈n+⅄ᐱ(Zn+Yn), ∈n+⅄ᐱ(Zn+Zn), ∈n+⅄ᐱ(Zn+φn), ∈n+⅄ᐱ(Zn+Θn), ∈n+⅄ᐱ(Zn+Ψn), ∈n+⅄ᐱ(Zncn+ᐱncn), ∈n+⅄ᐱ(Zncn+ᗑncn), ∈n+⅄ᐱ(Zncn+∘⧊°ncn), ∈n+⅄ᐱ(Zncn+∘∇°ncn)
∈n+⅄ᐱ(φn+An), ∈n+⅄ᐱ(φn+Bn), ∈n+⅄ᐱ(φn+Dn), ∈n+⅄ᐱ(φn+En), ∈n+⅄ᐱ(φn+Fn), ∈n+⅄ᐱ(φn+Gn), ∈n+⅄ᐱ(φn+Hn), ∈n+⅄ᐱ(φn+In), ∈n+⅄ᐱ(φn+Jn), ∈n+⅄ᐱ(φn+Kn), ∈n+⅄ᐱ(φn+Ln), ∈n+⅄ᐱ(φn+Mn), ∈n+⅄ᐱ(φn+Nn), ∈n+⅄ᐱ(φn+On), ∈n+⅄ᐱ(φn+Pn), ∈n+⅄ᐱ(φn+Qn), ∈n+⅄ᐱ(φn+Rn), ∈n+⅄ᐱ(φn+Sn), ∈n+⅄ᐱ(φn+Tn),∈n+⅄ᐱ(φn+Un), ∈n+⅄ᐱ(φn+Vn), ∈n+⅄ᐱ(φn+Wn), ∈n+⅄ᐱ(φn+Yn), ∈n+⅄ᐱ(φn+Zn), ∈n+⅄ᐱ(φn+φn), ∈n+⅄ᐱ(φn+Θn), ∈n+⅄ᐱ(φn+Ψn), ∈n+⅄ᐱ(φncn+ᐱncn), ∈n+⅄ᐱ(φncn+ᗑncn), ∈n+⅄ᐱ(φncn+∘⧊°ncn), ∈n+⅄ᐱ(φncn+∘∇°ncn)
∈n+⅄ᐱ(Θn+An), ∈n⅄+⅄ᐱ(Θn+Bn), ∈n+⅄ᐱ(Θn+Dn), ∈n+⅄ᐱ(Θn+En), ∈n+⅄ᐱ(Θn+Fn), ∈n+⅄ᐱ(Θn+Gn), ∈n+⅄ᐱ(Θn+Hn), ∈n+⅄ᐱ(Θn+In), ∈n+⅄ᐱ(Θn+Jn), ∈n+⅄ᐱ(Θn+Kn), ∈n+⅄ᐱ(Θn+Ln), ∈n+⅄ᐱ(Θn+Mn), ∈n+⅄ᐱ(Θn+Nn), ∈n+⅄ᐱ(Θn+On), ∈n+⅄ᐱ(Θn+Pn), ∈n+⅄ᐱ(Θn+Qn), ∈n+⅄ᐱ(Θn+Rn), ∈n+⅄ᐱ(Θn+Sn), ∈n+⅄ᐱ(Θn+Tn),∈n+⅄ᐱ(Θn+Un), ∈n+⅄ᐱ(Θn+Vn), ∈n+⅄ᐱ(Θn+Wn), ∈n+⅄ᐱ(Θn+Yn), ∈n+⅄ᐱ(Θn+Zn), ∈n+⅄ᐱ(Θn+φn), ∈n+⅄ᐱ(Θn+Θn), ∈n+⅄ᐱ(Θn+Ψn), ∈n+⅄ᐱ(Θncn+ᐱncn), ∈n+⅄ᐱ(Θncn+ᗑncn), ∈n+⅄ᐱ(Θncn+∘⧊°ncn), ∈n+⅄ᐱ(Θncn+∘∇°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(Ψn+Ψn), ∈n+⅄ᐱ(Ψncn+ᐱncn), ∈n+⅄ᐱ(Ψncn+ᗑncn), ∈n+⅄ᐱ(Ψncn+∘⧊°ncn), ∈n+⅄ᐱ(Ψncn+∘∇°ncn)
1-⅄
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.
Variables are factorable to a measured units that then be later can applied in functions of proper order of operations that is parenthesis, exponents, multiplication, division, addition, and then subtraction.
Function path 1-⅄=(n2-n1) is nn2cn later number in a set of consecutive variables minus nn1cn previous number in a set of consecutive variables, such that nncn is a number or variable with a repeating or not repeating decimal stem cycle variant.
∈1-⅄ᐱ(An2-An1), ∈1-⅄ᐱ(An2-Bn1), ∈1-⅄ᐱ(An2-Dn1), ∈1-⅄ᐱ(An2-En1), ∈1-⅄ᐱ(An2-Fn1), ∈1-⅄ᐱ(An2-Gn1), ∈1-⅄ᐱ(An2-Hn1), ∈1-⅄ᐱ(An2-In1), ∈1-⅄ᐱ(An2-Jn1), ∈1-⅄ᐱ(An2-Kn1), ∈1-⅄ᐱ(An2-Ln1), ∈1-⅄ᐱ(An2-Mn1), ∈1-⅄ᐱ(An2-Nn1), ∈1-⅄ᐱ(An2-On1), ∈1-⅄ᐱ(An2-Pn1), ∈1-⅄ᐱ(An2-Qn1), ∈1-⅄ᐱ(An2-Rn1), ∈1-⅄ᐱ(An2-Sn1), ∈1-⅄ᐱ(An2-Tn1), ∈1-⅄ᐱ(An2-Un1), ∈1-⅄ᐱ(An2-Vn1), ∈1-⅄ᐱ(An2-Wn1), ∈1-⅄ᐱ(An2-Yn1), ∈1-⅄ᐱ(An2-Zn1), ∈1-⅄ᐱ(An2-φn1), ∈1-⅄ᐱ(An2-Θn1), ∈1-⅄ᐱ(An2-Ψn1), ∈2-⅄ᐱ(An2cn-ᐱn1cn), ∈1-⅄ᐱ(An2cn-ᗑn1cn), ∈1-⅄ᐱ(An2cn-∘⧊°n1cn), ∈1-⅄ᐱ(An2cn-∘∇°n1cn)
∈1-⅄ᐱ(Bn2-An1), ∈2-⅄ᐱ(Bn2-Bn1), ∈1-⅄ᐱ(Bn2-Dn1), ∈1-⅄ᐱ(Bn2-En1), ∈1-⅄ᐱ(Bn2-Fn1), ∈1-⅄ᐱ(Bn2-Gn1), ∈1-⅄ᐱ(Bn2-Hn1), ∈1-⅄ᐱ(Bn2-In1), ∈1-⅄ᐱ(Bn2-Jn1), ∈1-⅄ᐱ(Bn2-Kn1), ∈1-⅄ᐱ(Bn2-Ln1), ∈1-⅄ᐱ(Bn2-Mn1), ∈1-⅄ᐱ(Bn2-Nn1), ∈1-⅄ᐱ(Bn2-On1), ∈1-⅄ᐱ(Bn2-Pn1), ∈1-⅄ᐱ(Bn2-Qn1), ∈1-⅄ᐱ(Bn2-Rn1), ∈1-⅄ᐱ(Bn2-Sn1), ∈1-⅄ᐱ(Bn2-Tn1), ∈1-⅄ᐱ(Bn2-Un1), ∈1-⅄ᐱ(Bn2-Vn1), ∈1-⅄ᐱ(Bn2-Wn1), ∈1-⅄ᐱ(Bn2-Yn1), ∈1-⅄ᐱ(Bn2-Zn1), ∈1-⅄ᐱ(Bn2-φn1), ∈1-⅄ᐱ(Bn2-Θn1), ∈1-⅄ᐱ(Bn2-Ψn1), ∈1-⅄ᐱ(Bn2cn-ᐱn1cn), ∈1-⅄ᐱ(Bn2cn-ᗑn1cn), ∈1-⅄ᐱ(Bn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Bn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Dn2-An1), ∈1-⅄ᐱ(Dn2-Bn1), ∈1-⅄ᐱ(Dn2-Dn1), ∈1-⅄ᐱ(Dn2-En1), ∈1-⅄ᐱ(Dn2-Fn1), ∈1-⅄ᐱ(Dn2-Gn1), ∈1-⅄ᐱ(Dn2-Hn1), ∈1-⅄ᐱ(Dn2-In1), ∈1-⅄ᐱ(Dn2-Jn1), ∈1-⅄ᐱ(Dn2-Kn1), ∈1-⅄ᐱ(Dn2-Ln1), ∈1-⅄ᐱ(Dn2-Mn1), ∈1-⅄ᐱ(Dn2-Nn1), ∈1-⅄ᐱ(Dn2-On1), ∈1-⅄ᐱ(Dn2-Pn1), ∈1-⅄ᐱ(Dn2-Qn1), ∈1-⅄ᐱ(Dn2-Rn1), ∈1-⅄ᐱ(Dn2-Sn1), ∈1-⅄ᐱ(Dn2-Tn1), ∈1-⅄ᐱ(Dn2-Un1), ∈1-⅄ᐱ(Dn2-Vn1), ∈1-⅄ᐱ(Dn2-Wn1), ∈1-⅄ᐱ(Dn2-Yn1), ∈1-⅄ᐱ(Dn2-Zn1), ∈1-⅄ᐱ(Dn2-φn1), ∈1-⅄ᐱ(Dn2-Θn1), ∈1-⅄ᐱ(Dn2-Ψn1), ∈1-⅄ᐱ(Dn2cn-ᐱn1cn), ∈1-⅄ᐱ(Dn2cn-ᗑn1cn), ∈1-⅄ᐱ(Dn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Dn2cn-∘∇°n1cn)
∈1-⅄ᐱ(En2-An1), ∈1-⅄ᐱ(En2-Bn1), ∈1-⅄ᐱ(En2-Dn1), ∈1-⅄ᐱ(En2-En1), ∈1-⅄ᐱ(En2-Fn1), ∈1-⅄ᐱ(En2-Gn1), ∈1-⅄ᐱ(En2-Hn1), ∈1-⅄ᐱ(En2-In1), ∈1-⅄ᐱ(En2-Jn1), ∈1-⅄ᐱ(En2-Kn1), ∈1-⅄ᐱ(En2-Ln1), ∈1-⅄ᐱ(En2-Mn1), ∈1-⅄ᐱ(En2-Nn1), ∈1-⅄ᐱ(En2-On1), ∈1-⅄ᐱ(En2-Pn1), ∈1-⅄ᐱ(En2-Qn1), ∈1-⅄ᐱ(En2-Rn1), ∈1-⅄ᐱ(En2-Sn1), ∈1-⅄ᐱ(En2-Tn1),∈1-⅄ᐱ(En2-Un1), ∈1-⅄ᐱ(En2-Vn1), ∈1-⅄ᐱ(En2-Wn1), ∈1-⅄ᐱ(En2-Yn1), ∈1-⅄ᐱ(En2-Zn1), ∈1-⅄ᐱ(En2-φn1), ∈1-⅄ᐱ(En2-Θn1), ∈1-⅄ᐱ(En2-Ψn1), ∈1-⅄ᐱ(En2cn-ᐱn1cn), ∈1-⅄ᐱ(En2cn-ᗑn1cn), ∈1-⅄ᐱ(En2cn-∘⧊°n1cn), ∈1-⅄ᐱ(En2cn-∘∇°n1cn)
∈1-⅄ᐱ(Fn2-An1), ∈1-⅄ᐱ(Fn2-Bn1), ∈1-⅄ᐱ(Fn2-Dn1), ∈1-⅄ᐱ(Fn2-En1), ∈1-⅄ᐱ(Fn2-Fn1), ∈1-⅄ᐱ(Fn2-Gn1), ∈1-⅄ᐱ(Fn2-Hn1), ∈1-⅄ᐱ(Fn2-In1), ∈1-⅄ᐱ(Fn2-Jn1), ∈1-⅄ᐱ(Fn2-Kn1), ∈1-⅄ᐱ(Fn2-Ln1), ∈1-⅄ᐱ(Fn2-Mn1), ∈1-⅄ᐱ(Fn2-Nn1), ∈1-⅄ᐱ(Fn2-On1), ∈1-⅄ᐱ(Fn2-Pn1), ∈1-⅄ᐱ(Fn2-Qn1), ∈1-⅄ᐱ(Fn2-Rn1), ∈1-⅄ᐱ(Fn2-Sn1), ∈1-⅄ᐱ(Fn2-Tn1),∈1-⅄ᐱ(Fn2-Un1), ∈1-⅄ᐱ(Fn2-Vn1), ∈1-⅄ᐱ(Fn2-Wn1), ∈1-⅄ᐱ(Fn2-Yn1), ∈1-⅄ᐱ(Fn2-Zn1), ∈1-⅄ᐱ(Fn2-φn1), ∈1-⅄ᐱ(Fn2-Θn1), ∈1-⅄ᐱ(Fn2-Ψn1), ∈1-⅄ᐱ(Fn2cn-ᐱn1cn), ∈1-⅄ᐱ(Fn2cn-ᗑn1cn), ∈1-⅄ᐱ(Fn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Fn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Gn2-An1), ∈1-⅄ᐱ(Gn2-Bn1), ∈1-⅄ᐱ(Gn2-Dn1), ∈1-⅄ᐱ(Gn2-En1), ∈1-⅄ᐱ(Gn2-Fn1), ∈1-⅄ᐱ(Gn2-Gn1), ∈1-⅄ᐱ(Gn2-Hn1), ∈1-⅄ᐱ(Gn2-In1), ∈1-⅄ᐱ(Gn2-Jn1), ∈1-⅄ᐱ(Gn2-Kn1), ∈1-⅄ᐱ(Gn2-Ln1), ∈1-⅄ᐱ(Gn2-Mn1), ∈1-⅄ᐱ(Gn2-Nn1), ∈1-⅄ᐱ(Gn2-On1), ∈1-⅄ᐱ(Gn2-Pn1), ∈1-⅄ᐱ(Gn2-Qn1), ∈1-⅄ᐱ(Gn2-Rn1), ∈1-⅄ᐱ(Gn2-Sn1), ∈1-⅄ᐱ(Gn2-Tn1),∈1-⅄ᐱ(Gn2-Un1), ∈1-⅄ᐱ(Gn2-Vn1), ∈1-⅄ᐱ(Gn2-Wn1), ∈1-⅄ᐱ(Gn2-Yn1), ∈1-⅄ᐱ(Gn2-Zn1), ∈1-⅄ᐱ(Gn2-φn1), ∈1-⅄ᐱ(Gn2-Θn1), ∈1-⅄ᐱ(Gn2-Ψn1), ∈1-⅄ᐱ(Gn2cn-ᐱn1cn), ∈1-⅄ᐱ(Gn2cn-ᗑn1cn), ∈1-⅄ᐱ(Gn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Gn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Hn2-An1), ∈1-⅄ᐱ(Hn2-Bn1), ∈1-⅄ᐱ(Hn2-Dn1), ∈1-⅄ᐱ(Hn2-En1), ∈1-⅄ᐱ(Hn2-Fn1), ∈1-⅄ᐱ(Hn2-Gn1), ∈1-⅄ᐱ(Hn2-Hn1), ∈1-⅄ᐱ(Hn2-In1), ∈1-⅄ᐱ(Hn2-Jn1), ∈1-⅄ᐱ(Hn2-Kn1), ∈1-⅄ᐱ(Hn2-Ln1), ∈1-⅄ᐱ(Hn2-Mn1), ∈1-⅄ᐱ(Hn2-Nn1), ∈1-⅄ᐱ(Hn2-On1), ∈1-⅄ᐱ(Hn2-Pn1), ∈1-⅄ᐱ(Hn2-Qn1), ∈1-⅄ᐱ(Hn2-Rn1), ∈1-⅄ᐱ(Hn2-Sn1), ∈1-⅄ᐱ(Hn2-Tn1), ∈1-⅄ᐱ(Hn2-Un1), ∈1-⅄ᐱ(Hn2-Vn1), ∈1-⅄ᐱ(Hn2-Wn1), ∈1-⅄ᐱ(Hn2-Yn1), ∈1-⅄ᐱ(Hn2-Zn1), ∈1-⅄ᐱ(Hn2-φn1), ∈1-⅄ᐱ(Hn2-Θn1), ∈1-⅄ᐱ(Hn2-Ψn1), ∈1-⅄ᐱ(Hn2cn-ᐱn1cn), ∈1-⅄Xᐱ(Hn2cn-ᗑn1cn), ∈1-⅄ᐱ(Hn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Hn2cn-∘∇°n1cn)
∈1-⅄ᐱ(In2-An1), ∈1-⅄ᐱ(In2-Bn1), ∈1-⅄ᐱ(In2-Dn1), ∈1-⅄ᐱ(In2-En1), ∈1-⅄ᐱ(In2-Fn1), ∈1-⅄ᐱ(In2-Gn1), ∈1-⅄ᐱ(In2-Hn1), ∈1-⅄ᐱ(In2-In1), ∈1-⅄ᐱ(In2-Jn1), ∈1-⅄ᐱ(In2-Kn1), ∈1-⅄ᐱ(In2-Ln1), ∈1-⅄ᐱ(In2-Mn1), ∈1-⅄ᐱ(In2-Nn1), ∈1-⅄ᐱ(In2-On1), ∈1-⅄ᐱ(In2-Pn1), ∈1-⅄ᐱ(In2-Qn1), ∈1-⅄ᐱ(In2-Rn1), ∈1-⅄ᐱ(In2-Sn1), ∈1-⅄ᐱ(In2-Tn1),∈1-⅄ᐱ(In2-Un1), ∈1-⅄ᐱ(In2-Vn1), ∈1-⅄ᐱ(In2-Wn1), ∈1-⅄ᐱ(In2-Yn1), ∈1-⅄ᐱ(In2-Zn1), ∈1-⅄ᐱ(In2-φn1), ∈1-⅄ᐱ(In2-Θn1), ∈1-⅄ᐱ(In2-Ψn1), ∈1-⅄ᐱ(In2cn-ᐱn1cn), ∈1-⅄ᐱ(In2cn-ᗑn1cn), ∈1-⅄ᐱ(In2cn-∘⧊°n1cn), ∈1-⅄ᐱ(In2cn-∘∇°n1cn)
∈1-⅄ᐱ(Jn2-An1), ∈1-⅄ᐱ(Jn2-Bn1), ∈1-⅄ᐱ(Jn2-Dn1), ∈1-⅄ᐱ(Jn2-En1), ∈1-⅄ᐱ(Jn2-Fn1), ∈1-⅄ᐱ(Jn2-Gn1), ∈1-⅄ᐱ(Jn2-Hn1), ∈1-⅄ᐱ(Jn2-In1), ∈1-⅄ᐱ(Jn2-Jn1), ∈1-⅄ᐱ(Jn2-Kn1), ∈1-⅄ᐱ(Jn2-Ln1), ∈1-⅄ᐱ(Jn2-Mn1), ∈1-⅄ᐱ(Jn2-Nn1), ∈1-⅄ᐱ(Jn2-On1), ∈1-⅄ᐱ(Jn2-Pn1), ∈1-⅄ᐱ(Jn2-Qn1), ∈1-⅄ᐱ(Jn2-Rn1), ∈1-⅄ᐱ(Jn2-Sn1), ∈1-⅄ᐱ(Jn2-Tn1),∈1-⅄ᐱ(Jn2-Un1), ∈1-⅄ᐱ(Jn2-Vn1), ∈1-⅄ᐱ(Jn2-Wn1), ∈1-⅄ᐱ(Jn2-Yn1), ∈1-⅄ᐱ(Jn2-Zn1), ∈1-⅄ᐱ(Jn2-φn1), ∈1-⅄ᐱ(Jn2-Θn1), ∈1-⅄ᐱ(Jn2-Ψn1), ∈1-⅄ᐱ(Jn2cn-ᐱn1cn), ∈1-⅄ᐱ(Jn2cn-ᗑn1cn), ∈1-⅄ᐱ(Jn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Jn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Kn2-An1), ∈1-⅄ᐱ(Kn2-Bn1), ∈1-⅄ᐱ(Kn2-Dn1), ∈1-⅄ᐱ(Kn2-En1), ∈1-⅄ᐱ(Kn2-Fn1), ∈1-⅄ᐱ(Kn2-Gn1), ∈1-⅄ᐱ(Kn2-Hn1), ∈1-⅄ᐱ(Kn2-In1), ∈1-⅄ᐱ(Kn2-Jn1), ∈1-⅄ᐱ(Kn2-Kn1), ∈1-⅄ᐱ(Kn2-Ln1), ∈1-⅄ᐱ(Kn2-Mn1), ∈1-⅄ᐱ(Kn2-Nn1), ∈1-⅄ᐱ(Kn2-On1), ∈1-⅄ᐱ(Kn2-Pn1), ∈1-⅄ᐱ(Kn2-Qn1), ∈1-⅄ᐱ(Kn2-Rn1), ∈1-⅄ᐱ(Kn2-Sn1), ∈1-⅄ᐱ(Kn2-Tn1),∈1-⅄ᐱ(Kn2-Un1), ∈1-⅄ᐱ(Kn2-Vn1), ∈1-⅄ᐱ(Kn2-Wn1), ∈1-⅄ᐱ(Kn2-Yn1), ∈1-⅄ᐱ(Kn2-Zn1), ∈1-⅄ᐱ(Kn2-φn1), ∈1-⅄ᐱ(Kn2-Θn1), ∈1-⅄ᐱ(Kn2-Ψn1), ∈1-⅄ᐱ(Kn2cn-ᐱn1cn), ∈1-⅄ᐱ(Kn2cn-ᗑn1cn), ∈1-⅄ᐱ(Kn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Kn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Ln2-An1), ∈1-⅄ᐱ(Ln2-Bn1), ∈1-⅄ᐱ(Ln2-Dn1), ∈1-⅄ᐱ(Ln2-En1), ∈1-⅄ᐱ(Ln2-Fn1), ∈1-⅄ᐱ(Ln2-Gn1), ∈1-⅄ᐱ(Ln2-Hn1), ∈1-⅄ᐱ(Ln2-In1), ∈1-⅄ᐱ(Ln2-Jn1), ∈1-⅄ᐱ(Ln2-Kn1), ∈1-⅄ᐱ(Ln2-Ln1), ∈1-⅄ᐱ(Ln2-Mn1), ∈1-⅄ᐱ(Ln2-Nn1), ∈1-⅄ᐱ(Ln2-On1), ∈1-⅄ᐱ(Ln2-Pn1), ∈1-⅄ᐱ(Ln2-Qn1), ∈1-⅄ᐱ(Ln2-Rn1), ∈1-⅄ᐱ(Ln2-Sn1), ∈1-⅄ᐱ(Ln2-Tn1),∈1-⅄ᐱ(Ln2-Un1), ∈1-⅄ᐱ(Ln2-Vn1), ∈1-⅄ᐱ(Ln2-Wn1), ∈1-⅄ᐱ(Ln2-Yn1), ∈1-⅄ᐱ(Ln1-Zn1), ∈1-⅄ᐱ(Ln2-φn1), ∈1-⅄ᐱ(Ln2-Θn1)), ∈1-⅄ᐱ(Ln2-Ψn1), ∈1-⅄ᐱ(Ln2cn-ᐱn1cn), ∈1-⅄ᐱ(Ln2cn-ᗑn1cn), ∈1-⅄ᐱ(Ln2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Ln2cn-∘∇°n1cn)
∈1-⅄ᐱ(Mn2-An1), ∈1-⅄ᐱ(Mn2-Bn1), ∈1-⅄ᐱ(Mn2-Dn1), ∈1-⅄ᐱ(Mn2-En1), ∈1-⅄ᐱ(Mn2-Fn1), ∈1-⅄ᐱ(Mn2-Gn1), ∈1-⅄ᐱ(Mn2-Hn1), ∈1-⅄ᐱ(Mn2-In1), ∈1-⅄ᐱ(Mn2-Jn1), ∈1-⅄ᐱ(Mn2-Kn1), ∈1-⅄ᐱ(Mn2-Ln1), ∈1-⅄ᐱ(Mn2-Mn1), ∈1-⅄ᐱ(Mn2-Nn1), ∈1-⅄ᐱ(Mn2-On1), ∈1-⅄ᐱ(Mn2-Pn1), ∈1-⅄ᐱ(Mn2-Qn1), ∈1-⅄ᐱ(Mn2-Rn1), ∈1-⅄ᐱ(Mn2-Sn1), ∈1-⅄ᐱ(Mn2-Tn1),∈1-⅄ᐱ(Mn2-Un1), ∈1-⅄ᐱ(Mn2-Vn1), ∈1-⅄ᐱ(Mn2-Wn1), ∈1-⅄ᐱ(Mn2-Yn1), ∈1-⅄ᐱ(Mn2-Zn1), ∈1-⅄ᐱ(Mn2-φn1), ∈1-⅄ᐱ(Mn2-Θn1), ∈1-⅄ᐱ(Mn2-Ψn1), ∈1-⅄ᐱ(Mn2cn-ᐱn1cn), ∈1-⅄ᐱ(Mn2cn-ᗑn1cn), ∈1-⅄ᐱ(Mn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Mn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Nn2-An1), ∈1-⅄ᐱ(Nn2-Bn1), ∈1-⅄ᐱ(Nn2-Dn1), ∈1-⅄ᐱ(Nn2-En1), ∈1-⅄ᐱ(Nn2-Fn1), ∈1-⅄ᐱ(Nn2-Gn1), ∈1-⅄ᐱ(Nn2-Hn1), ∈1-⅄ᐱ(Nn2-In1), ∈1-⅄ᐱ(Nn2-Jn1), ∈1-⅄ᐱ(Nn2-Kn1), ∈1-⅄ᐱ(Nn2-Ln1), ∈1-⅄ᐱ(Nn2-Mn1), ∈1-⅄ᐱ(Nn2-Nn1), ∈1-⅄ᐱ(Nn2-On1), ∈1-⅄ᐱ(Nn2-Pn1), ∈1-⅄ᐱ(Nn2-Qn1), ∈1-⅄ᐱ(Nn2-Rn1), ∈1-⅄ᐱ(Nn2-Sn1), ∈1-⅄ᐱ(Nn2-Tn1),∈1-⅄ᐱ(Nn2-Un1), ∈1-⅄ᐱ(Nn2-Vn1), ∈1-⅄ᐱ(Nn2-Wn1), ∈1-⅄ᐱ(Nn2-Yn1), ∈1-⅄ᐱ(Nn2-Zn1), ∈1-⅄ᐱ(Nn2-φn1), ∈1-⅄ᐱ(Nn2-Θn1), ∈1-⅄ᐱ(Nn2-Ψn1), ∈1-⅄ᐱ(Nn2cn-ᐱn1cn), ∈1-⅄ᐱ(Nn2cn-ᗑn1cn), ∈1-⅄ᐱ(Nn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Nn2cn-∘∇°n1cn)
∈1-⅄ᐱ(On2-An1), ∈1-⅄ᐱ(On2-Bn1), ∈1-⅄ᐱ(On2-Dn1), ∈1-⅄ᐱ(On2-En1), ∈1-⅄ᐱ(On2-Fn1), ∈1-⅄ᐱ(On2-Gn1), ∈1-⅄ᐱ(On2-Hn1), ∈1-⅄ᐱ(On2-In1), ∈1-⅄ᐱ(On2-Jn1), ∈1-⅄ᐱ(On2-Kn1), ∈1-⅄ᐱ(On2-Ln1), ∈1-⅄ᐱ(On2-Mn1), ∈1-⅄ᐱ(On2-Nn1), ∈1-⅄ᐱ(On2-On1), ∈1-⅄ᐱ(On2-Pn1), ∈1-⅄ᐱ(On2-Qn1), ∈1-⅄ᐱ(On2-Rn1), ∈1-⅄ᐱ(On2-Sn1), ∈1-⅄ᐱ(On2-Tn1),∈1-⅄ᐱ(On2-Un1), ∈1-⅄ᐱ(On2-Vn1), ∈1-⅄ᐱ(On2-Wn1), ∈1-⅄ᐱ(On2-Yn1), ∈1-⅄ᐱ(On2-Zn1), ∈1-⅄ᐱ(On2-φn1), ∈1-⅄ᐱ(On2-Θn1), ∈1-⅄ᐱ(On2-Ψn1), ∈1-⅄ᐱ(On2cn-ᐱn1cn), ∈1-⅄ᐱ(On2cn-ᗑn1cn), ∈1-⅄ᐱ(On2cn-∘⧊°n1cn), ∈1-⅄ᐱ(On2cn-∘∇°n1cn)
∈1-⅄ᐱ(Pn2-An1), ∈1-⅄ᐱ(Pn2-Bn1), ∈1-⅄ᐱ(Pn2-Dn1), ∈1-⅄ᐱ(Pn2-En1), ∈1-⅄ᐱ(Pn2-Fn1), ∈1-⅄ᐱ(Pn2-Gn1), ∈1-⅄ᐱ(Pn2-Hn1), ∈1-⅄ᐱ(Pn2-In1), ∈1-⅄ᐱ(Pn2-Jn1), ∈1-⅄ᐱ(Pn2-Kn1), ∈1-⅄ᐱ(Pn2-Ln1), ∈1-⅄ᐱ(Pn2-Mn1), ∈1-⅄ᐱ(Pn2-Nn1), ∈1-⅄ᐱ(Pn2-On1), ∈1-⅄ᐱ(Pn2-Pn1), ∈1-⅄ᐱ(Pn2-Qn1), ∈1-⅄ᐱ(Pn2-Rn1), ∈1-⅄ᐱ(Pn2-Sn1), ∈1-⅄ᐱ(Pn2-Tn1),∈1-⅄ᐱ(Pn2-Un1), ∈1-⅄ᐱ(Pn2-Vn1), ∈1-⅄ᐱ(Pn2-Wn1), ∈1-⅄ᐱ(Pn2-Yn1), ∈1-⅄ᐱ(Pn2-Zn1), ∈1-⅄ᐱ(Pn2-φn1), ∈1-⅄ᐱ(Pn2-Θn1), ∈1-⅄ᐱ(Pn2-Ψn1), ∈1-⅄ᐱ(Pn2cn-ᐱn1cn), ∈1-⅄ᐱ(Pn2cn-ᗑn1cn), ∈1-⅄ᐱ(Pn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Pn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Qn2-An1), ∈1-⅄ᐱ(Qn2-Bn1), ∈1-⅄ᐱ(Qn2-Dn1), ∈1-⅄ᐱ(Qn2-En1), ∈1-⅄ᐱ(Qn2-Fn1), ∈1-⅄ᐱ(Qn2-Gn1), ∈1-⅄ᐱ(Qn2-Hn1), ∈1-⅄ᐱ(Qn2-In1), ∈1-⅄ᐱ(Qn2-Jn1), ∈1-⅄ᐱ(Qn2-Kn1), ∈1-⅄ᐱ(Qn2-Ln1), ∈1-⅄ᐱ(Qn2-Mn1), ∈1-⅄ᐱ(Qn2-Nn1), ∈1-⅄ᐱ(Qn2-On1), ∈1-⅄ᐱ(Qn2-Pn1), ∈1-⅄ᐱ(Qn2-Qn1), ∈1-⅄ᐱ(Qn2-Rn1), ∈1-⅄ᐱ(Qn2-Sn1), ∈1-⅄ᐱ(Qn2-Tn1), ∈1-⅄ᐱ(Qn2-Un1), ∈1-⅄ᐱ(Qn2-Vn1), ∈1-⅄ᐱ(Qn2-Wn1), ∈1-⅄ᐱ(Qn2-Yn1), ∈1-⅄ᐱ(Qn2-Zn1), ∈1-⅄ᐱ(Qn2-φn1), ∈1-⅄ᐱ(Qn2-Θn1), ∈1-⅄ᐱ(Qn2-Ψn1), ∈1-⅄ᐱ(Qn2cn-ᐱn1cn), ∈1-⅄ᐱ(Qn2cn-ᗑn1cn), ∈1-⅄ᐱ(Qn1cn-∘⧊°n1cn), ∈1-⅄ᐱ(Qn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Rn2-An1), ∈1-⅄ᐱ(Rn2-Bn1), ∈1-⅄ᐱ(Rn2-Dn1), ∈1-⅄ᐱ(Rn2-En1), ∈1-⅄ᐱ(Rn2-Fn1), ∈1-⅄ᐱ(Rn2-Gn1), ∈1-⅄ᐱ(Rn2-Hn1), ∈1-⅄ᐱ(Rn2-In1), ∈1-⅄ᐱ(Rn2-Jn1), ∈1-⅄ᐱ(Rn2-Kn1), ∈1-⅄ᐱ(Rn2-Ln1), ∈1-⅄ᐱ(Rn2-Mn1), ∈1-⅄ᐱ(Rn2-Nn1), ∈1-⅄ᐱ(Rn2-On1), ∈1-⅄ᐱ(Rn2-Pn1), ∈1-⅄ᐱ(Rn2-Qn1), ∈1-⅄ᐱ(Rn2-Rn1), ∈1-⅄ᐱ(Rn2-Sn1), ∈1-⅄ᐱ(Rn2-Tn1),∈1-⅄ᐱ(Rn2-Un1), ∈1-⅄ᐱ(Rn2-Vn1), ∈1-⅄ᐱ(Rn2-Wn1), ∈1-⅄ᐱ(Rn2-Yn1), ∈1-⅄ᐱ(Rn2-Zn1), ∈1-⅄ᐱ(Rn2-φn1), ∈1-⅄ᐱ(Rn2-Θn1), ∈1-⅄ᐱ(Rn2-Ψn1), ∈1-⅄ᐱ(Rn2cn-ᐱn1cn), ∈1-⅄ᐱ(Rn2cn-ᗑn1cn), ∈1-⅄ᐱ(Rn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Rn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Sn2-An1), ∈1-⅄ᐱ(Sn2-Bn1), ∈1-⅄ᐱ(Sn2-Dn1), ∈1-⅄ᐱ(Sn2-En1), ∈1-⅄ᐱ(Sn2-Fn1), ∈1-⅄ᐱ(Sn2-Gn1), ∈1-⅄ᐱ(Sn2-Hn1), ∈1-⅄ᐱ(Sn2-In1), ∈1-⅄ᐱ(Sn2-Jn1), ∈1-⅄ᐱ(Sn2-Kn1), ∈1-⅄ᐱ(Sn2-Ln1), ∈1-⅄ᐱ(Sn2-Mn1), ∈1-⅄ᐱ(Sn2-Nn1), ∈1-⅄ᐱ(Sn2-On1), ∈1-⅄ᐱ(Sn2-Pn1), ∈1-⅄ᐱ(Sn2-Qn1), ∈1-⅄ᐱ(Sn2-Rn1), ∈1-⅄ᐱ(Sn2-Sn1), ∈1-⅄ᐱ(Sn2-Tn1),∈1-⅄ᐱ(Sn2-Un1), ∈1-⅄ᐱ(Sn2-Vn1), ∈1-⅄ᐱ(Sn2-Wn1), ∈1-⅄ᐱ(Sn2-Yn1), ∈1-⅄ᐱ(Sn2-Zn1), ∈1-⅄ᐱ(Sn2-φn1), ∈1-⅄ᐱ(Sn2-Θn1), ∈1-⅄ᐱ(Sn2-Ψn1), ∈1-⅄ᐱ(Sn2cn-ᐱn1cn), ∈1-⅄ᐱ(Sn2cn-ᗑn1cn), ∈1-⅄ᐱ(Sn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Sn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Tn2-An1), ∈1-⅄ᐱ(Tn2-Bn1), ∈1-⅄ᐱ(Tn2-Dn1), ∈1-⅄ᐱ(Tn2-En1), ∈1-⅄ᐱ(Tn2-Fn1), ∈1-⅄ᐱ(Tn2-Gn1), ∈1-⅄ᐱ(Tn2-Hn1), ∈1-⅄ᐱ(Tn2-In1), ∈1-⅄ᐱ(Tn2-Jn1), ∈1-⅄ᐱ(Tn2-Kn1), ∈1-⅄ᐱ(Tn2-Ln1), ∈1-⅄ᐱ(Tn2-Mn1), ∈1-⅄ᐱ(Tn2-Nn1), ∈1-⅄ᐱ(Tn2-On1), ∈1-⅄ᐱ(Tn2-Pn1), ∈1-⅄ᐱ(Tn2-Qn1), ∈1-⅄ᐱ(Tn2-Rn1), ∈1-⅄ᐱ(Tn2-Sn1), ∈1-⅄ᐱ(Tn2-Tn1),∈1-⅄ᐱ(Tn2-Un1), ∈1-⅄ᐱ(Tn2-Vn1), ∈1-⅄ᐱ(Tn2-Wn1), ∈1-⅄ᐱ(Tn2-Yn1), ∈1-⅄ᐱ(Tn2-Zn1), ∈1-⅄ᐱ(Tn2-φn1), ∈1-⅄ᐱ(Tn2-Θn1), ∈1-⅄ᐱ(Tn2-Ψn1), ∈1-⅄ᐱ(Tn2cn-ᐱn1cn), ∈1-⅄ᐱ(Tn2cn-ᗑn1cn), ∈1-⅄ᐱ(Tn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Tn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Un2-An1), ∈1-⅄ᐱ(Un2-Bn1), ∈1-⅄ᐱ(Un2-Dn1), ∈1-⅄ᐱ(Un2-En1), ∈1-⅄ᐱ(Un2-Fn1), ∈1-⅄ᐱ(Un2-Gn1), ∈1-⅄ᐱ(Un1-Hn1), ∈1-⅄ᐱ(Un1-In1), ∈1-⅄ᐱ(Un2-Jn1), ∈1-⅄ᐱ(Un2-Kn1), ∈1-⅄ᐱ(Un2-Ln1), ∈1-⅄ᐱ(Un2-Mn1), ∈1-⅄ᐱ(Un2-Nn1), ∈1-⅄ᐱ(Un2-On1), ∈1-⅄ᐱ(Un1-Pn1), ∈1-⅄ᐱ(Un2-Qn1), ∈n1-⅄ᐱ(Un2-Rn1), ∈1-⅄ᐱ(Un2-Sn1), ∈1-⅄ᐱ(Un2-Tn1), ∈1-⅄ᐱ(Un2-Un1), ∈1-⅄ᐱ(Un2-Vn1), ∈1-⅄ᐱ(Un2-Wn1), ∈1-⅄ᐱ(Un2-Yn1), ∈1-⅄ᐱ(Un2-Zn1), ∈1-⅄ᐱ(Un2-φn1), ∈1-⅄ᐱ(Un2-Θn1), ∈1-⅄ᐱ(Un2-Ψn1), ∈1-⅄ᐱ(Un2cn-ᐱn1cn), ∈1-⅄ᐱ(Un2cn-ᗑn1cn), ∈1-⅄ᐱ(Un2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Un2cn-∘∇°n1cn)
∈1-⅄ᐱ(Vn2-An1), ∈1-⅄ᐱ(Vn2-Bn1), ∈1-⅄ᐱ(Vn2-Dn1), ∈1-⅄ᐱ(Vn2-En1), ∈1-⅄ᐱ(Vn2-Fn1), ∈1-⅄ᐱ(Vn2-Gn1), ∈1-⅄ᐱ(Vn2-Hn1), ∈1-⅄ᐱ(Vn2-In1), ∈1-⅄ᐱ(Vn2-Jn1), ∈1-⅄ᐱ(Vn2-Kn1), ∈1-⅄ᐱ(Vn2-Ln1), ∈1-⅄ᐱ(Vn2-Mn1), ∈1-⅄ᐱ(Vn2-Nn1), ∈1-⅄ᐱ(Vn2-On1), ∈1-⅄ᐱ(Vn2-Pn1), ∈1-⅄ᐱ(Vn2-Qn1), ∈1-⅄ᐱ(Vn2-Rn1), ∈1-⅄ᐱ(Vn2-Sn1), ∈1-⅄ᐱ(Vn2-Tn1),∈1-⅄ᐱ(Vn2-Un1), ∈1-⅄ᐱ(Vn2-Vn1), ∈1-⅄ᐱ(Vn2-Wn1), ∈1-⅄ᐱ(Vn2-Yn1), ∈1-⅄ᐱ(Vn2-Zn1), ∈1-⅄ᐱ(Vn2-φn1), ∈1-⅄ᐱ(Vn2-Θn1), ∈1-⅄ᐱ(Vn2-Ψn1), ∈1-⅄ᐱ(Vn2cn-ᐱn1cn), ∈1-⅄ᐱ(Vn2cn-ᗑn1cn), ∈1-⅄ᐱ(Vn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Vn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Wn2-An1), ∈1-⅄ᐱ(Wn2-Bn1), ∈1-⅄ᐱ(Wn2-Dn1), ∈1-⅄ᐱ(Wn2-En1), ∈1-⅄ᐱ(Wn2-Fn1), ∈1-⅄ᐱ(Wn2-Gn1), ∈1-⅄ᐱ(Wn2-Hn1), ∈1-⅄ᐱ(Wn2-In1), ∈1-⅄ᐱ(Wn2-Jn1), ∈1-⅄ᐱ(Wn2-Kn1), ∈1-⅄ᐱ(Wn2-Ln1), ∈1-⅄ᐱ(Wn2-Mn1), ∈1-⅄ᐱ(Wn2-Nn1), ∈1-⅄ᐱ(Wn2-On1), ∈1-⅄ᐱ(Wn2-Pn1), ∈1-⅄ᐱ(Wn2-Qn1), ∈1-⅄ᐱ(Wn2-Rn1), ∈1-⅄ᐱ(Wn2-Sn1), ∈1-⅄ᐱ(Wn2-Tn1),∈1-⅄ᐱ(Wn2-Un1), ∈1-⅄ᐱ(Wn2-Vn1), ∈1-⅄ᐱ(Wn2-Wn1), ∈1-⅄ᐱ(Wn2-Yn1), ∈1-⅄ᐱ(Wn2-Zn1), ∈1-⅄ᐱ(Wn2-φn1), ∈1-⅄ᐱ(Wn2-Θn1), ∈1-⅄ᐱ(Wn2-Ψn1), ∈1-⅄ᐱ(Wn2cn-ᐱn1cn), ∈1-⅄ᐱ(Wn2cn-ᗑn1cn), ∈1-⅄ᐱ(Wn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Wn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Yn2-An1), ∈1-⅄ᐱ(Yn2-Bn1), ∈1-⅄ᐱ(Yn2-Dn1), ∈1-⅄ᐱ(Yn2-En1), ∈1-⅄ᐱ(Yn2-Fn1), ∈1-⅄ᐱ(Yn2-Gn1), ∈1-⅄ᐱ(Yn2-Hn1), ∈1-⅄ᐱ(Yn2-In1), ∈1-⅄ᐱ(Yn2-Jn1), ∈1-⅄ᐱ(Yn2-Kn1), ∈1-⅄ᐱ(Yn2-Ln1), ∈1-⅄ᐱ(Yn2-Mn1), ∈1-⅄ᐱ(Yn2-Nn1), ∈1-⅄ᐱ(Yn2-On1), ∈1-⅄ᐱ(Yn2-Pn1), ∈1-⅄ᐱ(Yn2-Qn1), ∈1-⅄ᐱ(Yn2-Rn1), ∈1-⅄ᐱ(Yn2-Sn1), ∈1-⅄ᐱ(Yn2-Tn1),∈1-⅄ᐱ(Yn2-Un1), ∈1-⅄ᐱ(Yn2-Vn1), ∈1-⅄ᐱ(Yn2-Wn1), ∈1-⅄ᐱ(Yn2-Yn1), ∈1-⅄ᐱ(Yn2-Zn1), ∈1-⅄ᐱ(Yn2-φn1), ∈1-⅄ᐱ(Yn2-Θn1), ∈1-⅄ᐱ(Yn2-Ψn1), ∈1-⅄ᐱ(Yn2cn-ᐱn1cn), ∈1-⅄ᐱ(Yn2cn-ᗑn1cn), ∈1-⅄ᐱ(Yn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Yn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Zn2-An1), ∈1-⅄ᐱ(Zn2-Bn1), ∈1-⅄ᐱ(Zn2-Dn1), ∈1-⅄ᐱ(Zn2-En1), ∈1-⅄ᐱ(Zn2-Fn1), ∈1-⅄ᐱ(Zn2-Gn1), ∈1-⅄ᐱ(Zn2-Hn1), ∈1-⅄ᐱ(Zn2-In1), ∈1-⅄ᐱ(Zn2-Jn1), ∈1-⅄ᐱ(Zn2-Kn1), ∈1-⅄ᐱ(Zn2-Ln1), ∈1-⅄ᐱ(Zn2-Mn1), ∈1-⅄ᐱ(Zn2-Nn1), ∈1-⅄ᐱ(Zn2-On1), ∈1-⅄ᐱ(Zn2-Pn1), ∈1-⅄ᐱ(Zn2-Qn1), ∈1-⅄ᐱ(Zn2-Rn1), ∈1-⅄ᐱ(Zn2-Sn1), ∈1-⅄ᐱ(Zn2-Tn1),∈1-⅄ᐱ(Zn2-Un1), ∈1-⅄ᐱ(Zn2-Vn1), ∈1-⅄ᐱ(Zn2-Wn1), ∈1-⅄ᐱ(Zn2-Yn1), ∈1-⅄ᐱ(Zn2-Zn1), ∈1-⅄ᐱ(Zn2-φn1), ∈1-⅄ᐱ(Zn2-Θn1), ∈1-⅄ᐱ(Zn2-Ψn1), ∈1-⅄ᐱ(Zn2cn-ᐱn1cn), ∈1-⅄ᐱ(Zn2cn-ᗑn1cn), ∈1-⅄ᐱ(Zn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Zn2cn-∘∇°n1cn)
∈1-⅄ᐱ(φn2-An1), ∈1-⅄ᐱ(φn2-Bn1), ∈1-⅄ᐱ(φn2-Dn1), ∈1-⅄ᐱ(φn2-En1), ∈1-⅄ᐱ(φn2-Fn1), ∈1-⅄ᐱ(φn2-Gn1), ∈1-⅄ᐱ(φn2-Hn1), ∈1-⅄ᐱ(φn2-In1), ∈1-⅄ᐱ(φn2-Jn1), ∈1-⅄ᐱ(φn2-Kn1), ∈1-⅄ᐱ(φn2-Ln1), ∈1-⅄ᐱ(φn2-Mn1), ∈1-⅄ᐱ(φn2-Nn1), ∈1-⅄ᐱ(φn2-On1), ∈1-⅄ᐱ(φn2-Pn1), ∈1-⅄ᐱ(φn2-Qn1), ∈1-⅄ᐱ(φn2-Rn1), ∈1-⅄ᐱ(φn2-Sn1), ∈1-⅄ᐱ(φn2-Tn1),∈1-⅄ᐱ(φn2-Un1), ∈1-⅄ᐱ(φn2-Vn1), ∈1-⅄ᐱ(φn2-Wn1), ∈1-⅄ᐱ(φn2-Yn1), ∈1-⅄ᐱ(φn2-Zn1), ∈1-⅄ᐱ(φn2-φn1), ∈1-⅄ᐱ(φn2-Θn1), ∈1-⅄ᐱ(φn2-Ψn1), ∈1-⅄ᐱ(φn2cn-ᐱn1cn), ∈1-⅄ᐱ(φn2cn-ᗑn1cn), ∈1-⅄ᐱ(φn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(φn2cn-∘∇°n1cn)
∈1-⅄ᐱ(Θn2-An1), ∈1-⅄ᐱ(Θn2-Bn1), ∈1-⅄ᐱ(Θn2-Dn1), ∈1-⅄ᐱ(Θn2-En1), ∈1-⅄ᐱ(Θn2-Fn1), ∈1-⅄ᐱ(Θn2-Gn1), ∈1-⅄ᐱ(Θn2-Hn1), ∈1-⅄ᐱ(Θn2-In1), ∈1-⅄ᐱ(Θn2-Jn1), ∈1-⅄ᐱ(Θn2-Kn1), ∈1-⅄ᐱ(Θn2-Ln1), ∈1-⅄ᐱ(Θn2-Mn1), ∈1-⅄ᐱ(Θn2-Nn1), ∈1-⅄ᐱ(Θn2-On1), ∈1-⅄ᐱ(Θn2-Pn1), ∈1-⅄ᐱ(Θn2-Qn1), ∈1-⅄ᐱ(Θn2-Rn1), ∈1-⅄ᐱ(Θn2-Sn1), ∈1-⅄ᐱ(Θn2-Tn1),∈1-⅄ᐱ(Θn2-Un1), ∈1-⅄ᐱ(Θn2-Vn1), ∈1-⅄ᐱ(Θn2-Wn1), ∈1-⅄ᐱ(Θn2-Yn1), ∈1-⅄ᐱ(Θn2-Zn1), ∈1-⅄ᐱ(Θn2-φn1), ∈1-⅄ᐱ(Θn2-Ψn1), ∈1-⅄ᐱ(Θn2-Θn1), ∈1-⅄ᐱ(Θn2cn-ᐱn1cn), ∈1-⅄ᐱ(Θn2cn-ᗑn1cn), ∈1-⅄ᐱ(Θn2cn-∘⧊°n1cn), ∈1-⅄ᐱ(Θn2cn-∘∇°n1cn)
∈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)
2-⅄
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.
2-⅄=(n1-n2) that a function path is factored to the definition of the function path rather than pemdas order of operations.
Variables are factorable to a measured units that then be later can applied in functions of proper order of operations that is parenthesis, exponents, multiplication, division, addition, and then subtraction.
Function path 2-⅄=(n1-n2)is nn1cn previous number in a set of consecutive variables minus nn2cn later number in a set of consecutive variables, such that nncn is a number or variable with a repeating or not repeating decimal stem cycle variant.
∈2-⅄ᐱ(An1-An2), ∈2-⅄ᐱ(An1-Bn2), ∈2-⅄ᐱ(An1-Dn2), ∈2-⅄ᐱ(An1-En2), ∈2-⅄ᐱ(An1-Fn2), ∈2-⅄ᐱ(An1-Gn2), ∈2-⅄ᐱ(An1-Hn2), ∈2-⅄ᐱ(An1-In2), ∈2-⅄ᐱ(An1-Jn2), ∈2-⅄ᐱ(An1-Kn2), ∈2-⅄ᐱ(An1-Ln2), ∈2-⅄ᐱ(An1-Mn2), ∈2-⅄ᐱ(An1-Nn2), ∈2-⅄ᐱ(An1-On2), ∈2-⅄ᐱ(An1-Pn2), ∈2-⅄ᐱ(An1-Qn2), ∈2-⅄ᐱ(An1-Rn2), ∈2-⅄ᐱ(An1-Sn2), ∈2-⅄ᐱ(An1-Tn2), ∈2-⅄ᐱ(An1-Un2), ∈2-⅄ᐱ(An1-Vn2), ∈2-⅄ᐱ(An1-Wn2), ∈2-⅄ᐱ(An1-Yn2), ∈2-⅄ᐱ(An1-Zn2), ∈2-⅄ᐱ(An1-φn2), ∈2-⅄ᐱ(An1-Θn2), ∈2-⅄ᐱ(An1-Ψn2), ∈2-⅄ᐱ(An1cn-ᐱn2cn), ∈2-⅄ᐱ(An1cn-ᗑn2cn), ∈2-⅄ᐱ(An1cn-∘⧊°n2cn), ∈2-⅄ᐱ(An1cn-∘∇°n2cn)
∈2-⅄ᐱ(Bn1-An2), ∈2-⅄ᐱ(Bn1-Bn2), ∈2-⅄ᐱ(Bn1-Dn2), ∈2-⅄ᐱ(Bn1-En2), ∈2-⅄ᐱ(Bn1-Fn2), ∈2-⅄ᐱ(Bn1-Gn2), ∈2-⅄ᐱ(Bn1-Hn2), ∈2-⅄ᐱ(Bn1-In2), ∈2-⅄ᐱ(Bn1-Jn2), ∈2-⅄ᐱ(Bn1-Kn2), ∈2-⅄ᐱ(Bn1-Ln2), ∈2-⅄ᐱ(Bn1-Mn2), ∈2-⅄ᐱ(Bn1-Nn2), ∈2-⅄ᐱ(Bn1-On2), ∈2-⅄ᐱ(Bn1-Pn2), ∈2-⅄ᐱ(Bn1-Qn2), ∈2-⅄ᐱ(Bn1-Rn2), ∈2-⅄ᐱ(Bn1-Sn2), ∈2-⅄ᐱ(Bn1-Tn2),∈2-⅄ᐱ(Bn1-Un2), ∈2-⅄ᐱ(Bn1-Vn2), ∈2-⅄ᐱ(Bn1-Wn2), ∈2-⅄ᐱ(Bn1-Yn2), ∈2-⅄ᐱ(Bn1-Zn2), ∈2-⅄ᐱ(Bn1-φn2), ∈2-⅄ᐱ(Bn1-Θn2), ∈2-⅄ᐱ(Bn1-Ψn2), ∈2-⅄ᐱ(Bn1cn-ᐱn2cn), ∈2-⅄ᐱ(Bn1cn-ᗑn2cn), ∈2-⅄ᐱ(Bn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Bn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Dn1-An2), ∈2-⅄ᐱ(Dn1-Bn2), ∈2-⅄ᐱ(Dn1-Dn2), ∈2-⅄ᐱ(Dn1-En2), ∈2-⅄ᐱ(Dn1-Fn2), ∈2-⅄ᐱ(Dn1-Gn2), ∈2-⅄ᐱ(Dn1-Hn2), ∈2-⅄ᐱ(Dn1-In2), ∈2-⅄ᐱ(Dn1-Jn2), ∈2-⅄ᐱ(Dn1-Kn2), ∈2-⅄ᐱ(Dn1-Ln2), ∈2-⅄ᐱ(Dn1-Mn2), ∈2-⅄ᐱ(Dn1-Nn2), ∈2-⅄ᐱ(Dn1-On2), ∈2-⅄ᐱ(Dn1-Pn2), ∈2-⅄ᐱ(Dn1-Qn2), ∈2-⅄ᐱ(Dn1-Rn2), ∈2-⅄ᐱ(Dn1-Sn2), ∈2-⅄ᐱ(Dn1-Tn2),∈2-⅄ᐱ(Dn1-Un2), ∈2-⅄ᐱ(Dn1-Vn2), ∈2-⅄ᐱ(Dn1-Wn2), ∈2-⅄ᐱ(Dn1-Yn2), ∈2-⅄ᐱ(Dn1-Zn2), ∈2-⅄ᐱ(Dn1-φn2), ∈2-⅄ᐱ(Dn1-Θn2), ∈2-⅄ᐱ(Dn1-Ψn2), ∈2-⅄ᐱ(Dn1cn-ᐱn2cn), ∈2-⅄ᐱ(Dn1cn-ᗑn2cn), ∈2-⅄ᐱ(Dn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Dn1cn-∘∇°n2cn)
∈2-⅄ᐱ(En1-An2), ∈2-⅄ᐱ(En1-Bn2), ∈2-⅄ᐱ(En1-Dn2), ∈2-⅄ᐱ(En1-En2), ∈2-⅄ᐱ(En1-Fn2), ∈2-⅄ᐱ(En1-Gn2), ∈2-⅄ᐱ(En1-Hn2), ∈2-⅄ᐱ(En1-In2), ∈2-⅄ᐱ(En1-Jn2), ∈2-⅄ᐱ(En1-Kn2), ∈2-⅄ᐱ(En1-Ln2), ∈2-⅄ᐱ(En1-Mn2), ∈2-⅄ᐱ(En1-Nn2), ∈2-⅄ᐱ(En1-On2), ∈2-⅄ᐱ(En1-Pn2), ∈2-⅄ᐱ(En1-Qn2), ∈2-⅄ᐱ(En1-Rn2), ∈2-⅄ᐱ(En1-Sn2), ∈2-⅄ᐱ(En1-Tn2),∈2-⅄ᐱ(En1-Un2), ∈2-⅄ᐱ(En1-Vn2), ∈2-⅄ᐱ(En1-Wn2), ∈2-⅄ᐱ(En1-Yn2), ∈2-⅄ᐱ(En1-Zn2), ∈2-⅄ᐱ(En1-φn2), ∈2-⅄ᐱ(En1-Θn2), ∈2-⅄ᐱ(En1-Ψn2), ∈2-⅄ᐱ(En1cn-ᐱn2cn), ∈2-⅄ᐱ(En1cn-ᗑn2cn), ∈2-⅄ᐱ(En1cn-∘⧊°n2cn), ∈2-⅄ᐱ(En1cn-∘∇°n2cn)
∈2-⅄ᐱ(Fn1-An2), ∈2-⅄ᐱ(Fn1-Bn2), ∈2-⅄ᐱ(Fn1-Dn2), ∈2-⅄ᐱ(Fn1-En2), ∈2-⅄ᐱ(Fn1-Fn2), ∈2-⅄ᐱ(Fn1-Gn2), ∈2-⅄ᐱ(Fn1-Hn2), ∈2-⅄ᐱ(Fn1-In2), ∈2-⅄ᐱ(Fn1-Jn2), ∈2-⅄ᐱ(Fn1-Kn2), ∈2-⅄ᐱ(Fn1-Ln2), ∈2-⅄ᐱ(Fn1-Mn2), ∈2-⅄ᐱ(Fn1-Nn2), ∈2-⅄ᐱ(Fn1-On2), ∈2-⅄ᐱ(Fn1-Pn2), ∈2-⅄ᐱ(Fn1-Qn2), ∈2-⅄ᐱ(Fn1-Rn2), ∈2-⅄ᐱ(Fn1-Sn2), ∈2-⅄ᐱ(Fn1-Tn2),∈2-⅄ᐱ(Fn1-Un2), ∈2-⅄ᐱ(Fn1-Vn2), ∈2-⅄ᐱ(Fn1-Wn2), ∈2-⅄ᐱ(Fn1-Yn2), ∈2-⅄ᐱ(Fn1-Zn2), ∈2-⅄ᐱ(Fn1-φn2), ∈2-⅄ᐱ(Fn1-Θn2), ∈2-⅄ᐱ(Fn1-Ψn2), ∈2-⅄ᐱ(Fn1cn-ᐱn2cn), ∈2-⅄ᐱ(Fn1cn-ᗑn2cn), ∈2-⅄ᐱ(Fn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Fn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Gn1-An2), ∈2-⅄ᐱ(Gn1-Bn2), ∈2-⅄ᐱ(Gn1-Dn2), ∈2-⅄ᐱ(Gn1-En2), ∈2-⅄ᐱ(Gn1-Fn2), ∈2-⅄ᐱ(Gn1-Gn2), ∈2-⅄ᐱ(Gn1-Hn2), ∈2-⅄ᐱ(Gn1-In2), ∈2-⅄ᐱ(Gn1-Jn2), ∈2-⅄ᐱ(Gn1-Kn2), ∈2-⅄ᐱ(Gn1-Ln2), ∈2-⅄ᐱ(Gn1-Mn2), ∈2-⅄ᐱ(Gn1-Nn2), ∈2-⅄ᐱ(Gn1-On2), ∈2-⅄ᐱ(Gn1-Pn2), ∈2-⅄ᐱ(Gn1-Qn2), ∈2-⅄ᐱ(Gn1-Rn2), ∈2-⅄ᐱ(Gn1-Sn2), ∈2-⅄ᐱ(Gn1-Tn2),∈2-⅄ᐱ(Gn1-Un2), ∈2-⅄ᐱ(Gn1-Vn2), ∈2-⅄ᐱ(Gn1-Wn2), ∈2-⅄ᐱ(Gn1-Yn2), ∈2-⅄ᐱ(Gn1-Zn2), ∈2-⅄ᐱ(Gn1-φn2), ∈2-⅄ᐱ(Gn1-Θn2), ∈2-⅄ᐱ(Gn1-Ψn2), ∈2-⅄ᐱ(Gn1cn-ᐱn2cn), ∈2-⅄ᐱ(Gn1cn-ᗑn2cn), ∈2-⅄ᐱ(Gn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Gn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Hn1-An2), ∈2-⅄ᐱ(Hn1-Bn2), ∈2-⅄ᐱ(Hn1-Dn2), ∈2-⅄ᐱ(Hn1-En2), ∈2-⅄ᐱ(Hn1-Fn2), ∈2-⅄ᐱ(Hn1-Gn2), ∈2-⅄ᐱ(Hn1-Hn2), ∈2-⅄ᐱ(Hn1-In2), ∈2-⅄ᐱ(Hn1-Jn2), ∈2-⅄ᐱ(Hn1-Kn2), ∈2-⅄ᐱ(Hn1-Ln2), ∈2-⅄ᐱ(Hn1-Mn2), ∈2-⅄ᐱ(Hn1-Nn2), ∈2-⅄ᐱ(Hn1-On2), ∈2-⅄ᐱ(Hn1-Pn2), ∈2-⅄ᐱ(Hn1-Qn2), ∈2-⅄ᐱ(Hn1-Rn2), ∈2-⅄ᐱ(Hn1-Sn2), ∈2-⅄ᐱ(Hn1-Tn2), ∈2-⅄ᐱ(Hn1-Un2), ∈2-⅄ᐱ(Hn1-Vn2), ∈2-⅄ᐱ(Hn1-Wn2), ∈2-⅄ᐱ(Hn1-Yn2), ∈2-⅄ᐱ(Hn1-Zn2), ∈2-⅄ᐱ(Hn1-φn2), ∈2-⅄ᐱ(Hn1-Θn2), ∈2-⅄ᐱ(Hn1-Ψn2), ∈2-⅄ᐱ(Hn1cn-ᐱn2cn), ∈2-⅄Xᐱ(Hn1cn-ᗑn2cn), ∈2-⅄ᐱ(Hn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Hn1cn-∘∇°n2cn)
∈2-⅄ᐱ(In1-An2), ∈2-⅄ᐱ(In1-Bn2), ∈2-⅄ᐱ(In1-Dn2), ∈2-⅄ᐱ(In1-En2), ∈2-⅄ᐱ(In1-Fn2), ∈2-⅄ᐱ(In1-Gn2), ∈2-⅄ᐱ(In1-Hn2), ∈2-⅄ᐱ(In1-In2), ∈2-⅄ᐱ(In1-Jn2), ∈2-⅄ᐱ(In1-Kn2), ∈2-⅄ᐱ(In1-Ln2), ∈2-⅄ᐱ(In1-Mn2), ∈2-⅄ᐱ(In1-Nn2), ∈2-⅄ᐱ(In1-On2), ∈2-⅄ᐱ(In1-Pn2), ∈2-⅄ᐱ(In1-Qn2), ∈2-⅄ᐱ(In1-Rn2), ∈2-⅄ᐱ(In1-Sn2), ∈2-⅄ᐱ(In1-Tn2),∈2-⅄ᐱ(In1-Un2), ∈2-⅄ᐱ(In1-Vn2), ∈2-⅄ᐱ(In1-Wn2), ∈2-⅄ᐱ(In1-Yn2), ∈2-⅄ᐱ(In1-Zn2), ∈2-⅄ᐱ(In1-φn2), ∈2-⅄ᐱ(In1-Θn2), ∈2-⅄ᐱ(In1-Ψn2), ∈2-⅄ᐱ(In1cn-ᐱn2cn), ∈2-⅄ᐱ(In1cn-ᗑn2cn), ∈2-⅄ᐱ(In1cn-∘⧊°n2cn), ∈2-⅄ᐱ(In1cn-∘∇°n2cn)
∈2-⅄ᐱ(Jn1-An2), ∈2-⅄ᐱ(Jn1-Bn2), ∈2-⅄ᐱ(Jn1-Dn2), ∈2-⅄ᐱ(Jn1-En2), ∈2-⅄ᐱ(Jn1-Fn2), ∈2-⅄ᐱ(Jn1-Gn2), ∈2-⅄ᐱ(Jn1-Hn2), ∈2-⅄ᐱ(Jn1-In2), ∈2-⅄ᐱ(Jn1-Jn2), ∈2-⅄ᐱ(Jn1-Kn2), ∈2-⅄ᐱ(Jn1-Ln2), ∈2-⅄ᐱ(Jn1-Mn2), ∈2-⅄ᐱ(Jn1-Nn2), ∈2-⅄ᐱ(Jn1-On2), ∈2-⅄ᐱ(Jn1-Pn2), ∈2-⅄ᐱ(Jn1-Qn2), ∈2-⅄ᐱ(Jn1-Rn2), ∈2-⅄ᐱ(Jn1-Sn2), ∈2-⅄ᐱ(Jn1-Tn2),∈2-⅄ᐱ(Jn1-Un2), ∈2-⅄ᐱ(Jn1-Vn2), ∈2-⅄ᐱ(Jn1-Wn2), ∈2-⅄ᐱ(Jn1-Yn2), ∈2-⅄ᐱ(Jn1-Zn2), ∈2-⅄ᐱ(Jn1-φn2), ∈2-⅄ᐱ(Jn1-Θn2), ∈2-⅄ᐱ(Jn1-Ψn2), ∈2-⅄ᐱ(Jn1cn-ᐱn2cn), ∈2-⅄ᐱ(Jn1cn-ᗑn2cn), ∈2-⅄ᐱ(Jn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Jn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Kn1-An2), ∈2-⅄ᐱ(Kn1-Bn2), ∈2-⅄ᐱ(Kn1-Dn2), ∈2-⅄ᐱ(Kn1-En2), ∈2-⅄ᐱ(Kn1-Fn2), ∈2-⅄ᐱ(Kn1-Gn2), ∈2-⅄ᐱ(Kn1-Hn2), ∈2-⅄ᐱ(Kn1-In2), ∈2-⅄ᐱ(Kn1-Jn2), ∈2-⅄ᐱ(Kn1-Kn2), ∈2-⅄ᐱ(Kn1-Ln2), ∈2-⅄ᐱ(Kn1-Mn2), ∈2-⅄ᐱ(Kn1-Nn2), ∈2-⅄ᐱ(Kn1-On2), ∈2-⅄ᐱ(Kn1-Pn2), ∈2-⅄ᐱ(Kn1-Qn2), ∈2-⅄ᐱ(Kn1-Rn2), ∈2-⅄ᐱ(Kn1-Sn2), ∈2-⅄ᐱ(Kn1-Tn2),∈2-⅄ᐱ(Kn1-Un2), ∈2-⅄ᐱ(Kn1-Vn2), ∈2-⅄ᐱ(Kn1-Wn2), ∈2-⅄ᐱ(Kn1-Yn2), ∈2-⅄ᐱ(Kn1-Zn2), ∈2-⅄ᐱ(Kn1-φn2), ∈2-⅄ᐱ(Kn1-Θn2), ∈2-⅄ᐱ(Kn1-Ψn2), ∈2-⅄ᐱ(Kn1cn-ᐱn2cn), ∈2-⅄ᐱ(Kn1cn-ᗑn2cn), ∈2-⅄ᐱ(Kn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Kn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Ln1-An2), ∈2-⅄ᐱ(Ln1-Bn2), ∈2-⅄ᐱ(Ln1-Dn2), ∈2-⅄ᐱ(Ln1-En2), ∈2-⅄ᐱ(Ln1-Fn2), ∈2-⅄ᐱ(Ln1-Gn2), ∈2-⅄ᐱ(Ln1-Hn2), ∈2-⅄ᐱ(Ln1-In2), ∈2-⅄ᐱ(Ln1-Jn2), ∈2-⅄ᐱ(Ln1-Kn2), ∈2-⅄ᐱ(Ln1-Ln2), ∈2-⅄ᐱ(Ln1-Mn2), ∈2-⅄ᐱ(Ln1-Nn2), ∈2-⅄ᐱ(Ln1-On2), ∈2-⅄ᐱ(Ln1-Pn2), ∈2-⅄ᐱ(Ln1-Qn2), ∈2-⅄ᐱ(Ln1-Rn2), ∈2-⅄ᐱ(Ln1-Sn2), ∈2-⅄ᐱ(Ln1-Tn2),∈2-⅄ᐱ(Ln1-Un2), ∈2-⅄ᐱ(Ln1-Vn2), ∈2-⅄ᐱ(Ln1-Wn2), ∈2-⅄ᐱ(Ln1-Yn2), ∈2-⅄ᐱ(Ln1-Zn2), ∈2-⅄ᐱ(Ln1-φn2), ∈2-⅄ᐱ(Ln1-Θn2)), ∈2-⅄ᐱ(Ln1-Ψn2), ∈2-⅄ᐱ(Ln1cn-ᐱn2cn), ∈2-⅄ᐱ(Ln1cn-ᗑn2cn), ∈2-⅄ᐱ(Ln1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Ln1cn-∘∇°n2cn)
∈2-⅄ᐱ(Mn1-An2), ∈2-⅄ᐱ(Mn1-Bn2), ∈2-⅄ᐱ(Mn1-Dn2), ∈2-⅄ᐱ(Mn1-En2), ∈2-⅄ᐱ(Mn1-Fn2), ∈2-⅄ᐱ(Mn1-Gn2), ∈2-⅄ᐱ(Mn1-Hn2), ∈2-⅄ᐱ(Mn1-In2), ∈2-⅄ᐱ(Mn1-Jn2), ∈2-⅄ᐱ(Mn1-Kn2), ∈2-⅄ᐱ(Mn1-Ln2), ∈2-⅄ᐱ(Mn1-Mn2), ∈2-⅄ᐱ(Mn1-Nn2), ∈2-⅄ᐱ(Mn1-On2), ∈2-⅄ᐱ(Mn1-Pn2), ∈2-⅄ᐱ(Mn1-Qn2), ∈2-⅄ᐱ(Mn1-Rn2), ∈2-⅄ᐱ(Mn1-Sn2), ∈2-⅄ᐱ(Mn1-Tn2),∈2-⅄ᐱ(Mn1-Un2), ∈2-⅄ᐱ(Mn1-Vn2), ∈2-⅄ᐱ(Mn1-Wn2), ∈2-⅄ᐱ(Mn1-Yn2), ∈2-⅄ᐱ(Mn1-Zn2), ∈2-⅄ᐱ(Mn1-φn2), ∈2-⅄ᐱ(Mn1-Θn2), ∈2-⅄ᐱ(Mn1-Ψn2), ∈2-⅄ᐱ(Mn1cn-ᐱn2cn), ∈2-⅄ᐱ(Mn1cn-ᗑn2cn), ∈2-⅄ᐱ(Mn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Mn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Nn1-An2), ∈2-⅄ᐱ(Nn1-Bn2), ∈2-⅄ᐱ(Nn1-Dn2), ∈2-⅄ᐱ(Nn1-En2), ∈2-⅄ᐱ(Nn1-Fn2), ∈2-⅄ᐱ(Nn1-Gn2), ∈2-⅄ᐱ(Nn1-Hn2), ∈2-⅄ᐱ(Nn1-In2), ∈2-⅄ᐱ(Nn1-Jn2), ∈2-⅄ᐱ(Nn1-Kn2), ∈2-⅄ᐱ(Nn1-Ln2), ∈2-⅄ᐱ(Nn1-Mn2), ∈2-⅄ᐱ(Nn1-Nn2), ∈2-⅄ᐱ(Nn1-On2), ∈2-⅄ᐱ(Nn1-Pn2), ∈2-⅄ᐱ(Nn1-Qn2), ∈2-⅄ᐱ(Nn1-Rn2), ∈2-⅄ᐱ(Nn1-Sn2), ∈2-⅄ᐱ(Nn1-Tn2),∈2-⅄ᐱ(Nn1-Un2), ∈2-⅄ᐱ(Nn1-Vn2), ∈2-⅄ᐱ(Nn1-Wn2), ∈2-⅄ᐱ(Nn1-Yn2), ∈2-⅄ᐱ(Nn1-Zn2), ∈2-⅄ᐱ(Nn1-φn2), ∈2-⅄ᐱ(Nn1-Θn2), ∈2-⅄ᐱ(Nn1-Ψn2), ∈2-⅄ᐱ(Nn1cn-ᐱn2cn), ∈2-⅄ᐱ(Nn1cn-ᗑn2cn), ∈2-⅄ᐱ(Nn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Nn1cn-∘∇°n2cn)
∈2-⅄ᐱ(On1-An2), ∈2-⅄ᐱ(On1-Bn2), ∈2-⅄ᐱ(On1-Dn2), ∈2-⅄ᐱ(On1-En2), ∈2-⅄ᐱ(On1-Fn2), ∈2-⅄ᐱ(On1-Gn2), ∈2-⅄ᐱ(On1-Hn2), ∈2-⅄ᐱ(On1-In2), ∈2-⅄ᐱ(On1-Jn2), ∈2-⅄ᐱ(On1-Kn2), ∈2-⅄ᐱ(On1-Ln2), ∈2-⅄ᐱ(On1-Mn2), ∈2-⅄ᐱ(On1-Nn2), ∈2-⅄ᐱ(On1-On2), ∈2-⅄ᐱ(On1-Pn2), ∈2-⅄ᐱ(On1-Qn2), ∈2-⅄ᐱ(On1-Rn2), ∈2-⅄ᐱ(On1-Sn2), ∈2-⅄ᐱ(On1-Tn2),∈2-⅄ᐱ(On1-Un2), ∈2-⅄ᐱ(On1-Vn2), ∈2-⅄ᐱ(On1-Wn2), ∈2-⅄ᐱ(On1-Yn2), ∈2-⅄ᐱ(On1-Zn2), ∈2-⅄ᐱ(On1-φn2), ∈2-⅄ᐱ(On1-Θn2), ∈2-⅄ᐱ(On1-Ψn2), ∈2-⅄ᐱ(On1cn-ᐱn2cn), ∈2-⅄ᐱ(On1cn-ᗑn2cn), ∈2-⅄ᐱ(On1cn-∘⧊°n2cn), ∈2-⅄ᐱ(On1cn-∘∇°n2cn)
∈2-⅄ᐱ(Pn1-An2), ∈2-⅄ᐱ(Pn1-Bn2), ∈2-⅄ᐱ(Pn1-Dn2), ∈2-⅄ᐱ(Pn1-En2), ∈2-⅄ᐱ(Pn1-Fn2), ∈2-⅄ᐱ(Pn1-Gn2), ∈2-⅄ᐱ(Pn1-Hn2), ∈2-⅄ᐱ(Pn1-In2), ∈2-⅄ᐱ(Pn1-Jn2), ∈2-⅄ᐱ(Pn1-Kn2), ∈2-⅄ᐱ(Pn1-Ln2), ∈2-⅄ᐱ(Pn1-Mn2), ∈2-⅄ᐱ(Pn1-Nn2), ∈2-⅄ᐱ(Pn1-On2), ∈2-⅄ᐱ(Pn1-Pn2), ∈2-⅄ᐱ(Pn1-Qn2), ∈2-⅄ᐱ(Pn1-Rn2), ∈2-⅄ᐱ(Pn1-Sn2), ∈2-⅄ᐱ(Pn1-Tn2),∈2-⅄ᐱ(Pn1-Un2), ∈2-⅄ᐱ(Pn1-Vn2), ∈2-⅄ᐱ(Pn1-Wn2), ∈2-⅄ᐱ(Pn1-Yn2), ∈2-⅄ᐱ(Pn1-Zn2), ∈2-⅄ᐱ(Pn1-φn2), ∈2-⅄ᐱ(Pn1-Θn2), ∈2-⅄ᐱ(Pn1-Ψn2), ∈2-⅄ᐱ(Pn1cn-ᐱn2cn), ∈2-⅄ᐱ(Pn1cn-ᗑn2cn), ∈2-⅄ᐱ(Pn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Pn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Qn1-An2), ∈2-⅄ᐱ(Qn1-Bn2), ∈2-⅄ᐱ(Qn1-Dn2), ∈2-⅄ᐱ(Qn1-En2), ∈2-⅄ᐱ(Qn1-Fn2), ∈2-⅄ᐱ(Qn1-Gn2), ∈2-⅄ᐱ(Qn1-Hn2), ∈2-⅄ᐱ(Qn1-In2), ∈2-⅄ᐱ(Qn1-Jn2), ∈2-⅄ᐱ(Qn1-Kn2), ∈2-⅄ᐱ(Qn1-Ln2), ∈2-⅄ᐱ(Qn1-Mn2), ∈2-⅄ᐱ(Qn1-Nn2), ∈2-⅄ᐱ(Qn1-On2), ∈2-⅄ᐱ(Qn1-Pn2), ∈2-⅄ᐱ(Qn1-Qn2), ∈2-⅄ᐱ(Qn1-Rn2), ∈2-⅄ᐱ(Qn1-Sn2), ∈2-⅄ᐱ(Qn1-Tn2), ∈2-⅄ᐱ(Qn1-Un2), ∈2-⅄ᐱ(Qn1-Vn2), ∈2-⅄ᐱ(Qn1-Wn2), ∈2-⅄ᐱ(Qn1-Yn2), ∈2-⅄ᐱ(Qn1-Zn2), ∈2-⅄ᐱ(Qn1-φn2), ∈2-⅄ᐱ(Qn1-Θn2), ∈2-⅄ᐱ(Qn1-Ψn2), ∈2-⅄ᐱ(Qn1cn-ᐱn2cn), ∈2-⅄ᐱ(Qn1cn-ᗑn2cn), ∈2-⅄ᐱ(Qn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Qn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Rn1-An2), ∈2-⅄ᐱ(Rn1-Bn2), ∈2-⅄ᐱ(Rn1-Dn2), ∈2-⅄ᐱ(Rn1-En2), ∈2-⅄ᐱ(Rn1-Fn2), ∈2-⅄ᐱ(Rn1-Gn2), ∈2-⅄ᐱ(Rn1-Hn2), ∈2-⅄ᐱ(Rn1-In2), ∈2-⅄ᐱ(Rn1-Jn2), ∈2-⅄ᐱ(Rn1-Kn2), ∈2-⅄ᐱ(Rn1-Ln2), ∈2-⅄ᐱ(Rn1-Mn2), ∈2-⅄ᐱ(Rn1-Nn2), ∈2-⅄ᐱ(Rn1-On2), ∈2-⅄ᐱ(Rn1-Pn2), ∈2-⅄ᐱ(Rn1-Qn2), ∈2-⅄ᐱ(Rn1-Rn2), ∈2-⅄ᐱ(Rn1-Sn2), ∈2-⅄ᐱ(Rn1-Tn2),∈2-⅄ᐱ(Rn1-Un2), ∈2-⅄ᐱ(Rn1-Vn2), ∈2-⅄ᐱ(Rn1-Wn2), ∈2-⅄ᐱ(Rn1-Yn2), ∈2-⅄ᐱ(Rn1-Zn2), ∈2-⅄ᐱ(Rn1-φn2), ∈2-⅄ᐱ(Rn1-Θn2), ∈2-⅄ᐱ(Rn1-Ψn2), ∈2-⅄ᐱ(Rn1cn-ᐱn2cn), ∈2-⅄ᐱ(Rn1cn-ᗑn2cn), ∈2-⅄ᐱ(Rn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Rn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Sn1-An2), ∈2-⅄ᐱ(Sn1-Bn2), ∈2-⅄ᐱ(Sn1-Dn2), ∈2-⅄ᐱ(Sn1-En2), ∈2-⅄ᐱ(Sn1-Fn2), ∈2-⅄ᐱ(Sn1-Gn2), ∈2-⅄ᐱ(Sn1-Hn2), ∈2-⅄ᐱ(Sn1-In2), ∈2-⅄ᐱ(Sn1-Jn2), ∈2-⅄ᐱ(Sn1-Kn2), ∈2-⅄ᐱ(Sn1-Ln2), ∈2-⅄ᐱ(Sn1-Mn2), ∈2-⅄ᐱ(Sn1-Nn2), ∈2-⅄ᐱ(Sn1-On2), ∈2-⅄ᐱ(Sn1-Pn2), ∈2-⅄ᐱ(Sn1-Qn2), ∈2-⅄ᐱ(Sn1-Rn2), ∈2-⅄ᐱ(Sn1-Sn2), ∈2-⅄ᐱ(Sn1-Tn2),∈2-⅄ᐱ(Sn1-Un2), ∈2-⅄ᐱ(Sn1-Vn2), ∈2-⅄ᐱ(Sn1-Wn2), ∈2-⅄ᐱ(Sn1-Yn2), ∈2-⅄ᐱ(Sn1-Zn2), ∈2-⅄ᐱ(Sn1-φn2), ∈2-⅄ᐱ(Sn1-Θn2), ∈2-⅄ᐱ(Sn1-Ψn2), ∈2-⅄ᐱ(Sn1cn-ᐱn2cn), ∈2-⅄ᐱ(Sn1cn-ᗑn2cn), ∈2-⅄ᐱ(Sn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Sn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Tn1-An2), ∈2-⅄ᐱ(Tn1-Bn2), ∈2-⅄ᐱ(Tn1-Dn2), ∈2-⅄ᐱ(Tn1-En2), ∈2-⅄ᐱ(Tn1-Fn2), ∈2-⅄ᐱ(Tn1-Gn2), ∈2-⅄ᐱ(Tn1-Hn2), ∈2-⅄ᐱ(Tn1-In2), ∈2-⅄ᐱ(Tn1-Jn2), ∈2-⅄ᐱ(Tn1-Kn2), ∈2-⅄ᐱ(Tn1-Ln2), ∈2-⅄ᐱ(Tn1-Mn2), ∈2-⅄ᐱ(Tn1-Nn2), ∈2-⅄ᐱ(Tn1-On2), ∈2-⅄ᐱ(Tn1-Pn2), ∈2-⅄ᐱ(Tn1-Qn2), ∈2-⅄ᐱ(Tn1-Rn2), ∈2-⅄ᐱ(Tn1-Sn2), ∈2-⅄ᐱ(Tn1-Tn2),∈2-⅄ᐱ(Tn1-Un2), ∈2-⅄ᐱ(Tn1-Vn2), ∈2-⅄ᐱ(Tn1-Wn2), ∈2-⅄ᐱ(Tn1-Yn2), ∈2-⅄ᐱ(Tn1-Zn2), ∈2-⅄ᐱ(Tn1-φn2), ∈2-⅄ᐱ(Tn1-Θn2), ∈2-⅄ᐱ(Tn1-Ψn2), ∈2-⅄ᐱ(Tn1cn-ᐱn2cn), ∈2-⅄ᐱ(Tn1cn-ᗑn2cn), ∈2-⅄ᐱ(Tn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Tn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Un1-An2), ∈2-⅄ᐱ(Un1-Bn2), ∈2-⅄ᐱ(Un1-Dn2), ∈2-⅄ᐱ(Un1-En2), ∈2-⅄ᐱ(Un1-Fn2), ∈2-⅄ᐱ(Un1-Gn2), ∈2-⅄ᐱ(Un1-Hn2), ∈2-⅄ᐱ(Un1-In2), ∈2-⅄ᐱ(Un1-Jn2), ∈2-⅄ᐱ(Un1-Kn2), ∈2-⅄ᐱ(Un1-Ln2), ∈2-⅄ᐱ(Un1-Mn2), ∈2-⅄ᐱ(Un1-Nn2), ∈2-⅄ᐱ(Un1-On2), ∈2-⅄ᐱ(Un1-Pn2), ∈2-⅄ᐱ(Un1-Qn2), ∈n2-⅄ᐱ(Un1-Rn2), ∈2-⅄ᐱ(Un1-Sn2), ∈2-⅄ᐱ(Un1-Tn2), ∈2-⅄ᐱ(Un1-Un2), ∈2-⅄ᐱ(Un1-Vn2), ∈2-⅄ᐱ(Un1-Wn2), ∈2-⅄ᐱ(Un1-Yn2), ∈2-⅄ᐱ(Un1-Zn2), ∈2-⅄ᐱ(Un1-φn2), ∈2-⅄ᐱ(Un1-Θn2), ∈2-⅄ᐱ(Un1-Ψn2), ∈2-⅄ᐱ(Un1cn-ᐱn2cn), ∈2-⅄ᐱ(Un1cn-ᗑn2cn), ∈2-⅄ᐱ(Un1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Un1cn-∘∇°n2cn)
∈2-⅄ᐱ(Vn1-An2), ∈2-⅄ᐱ(Vn1-Bn2), ∈2-⅄ᐱ(Vn1-Dn2), ∈2-⅄ᐱ(Vn1-En2), ∈2-⅄ᐱ(Vn1-Fn2), ∈2-⅄ᐱ(Vn1-Gn2), ∈2-⅄ᐱ(Vn1-Hn2), ∈2-⅄ᐱ(Vn1-In2), ∈2-⅄ᐱ(Vn1-Jn2), ∈2-⅄ᐱ(Vn1-Kn2), ∈2-⅄ᐱ(Vn1-Ln2), ∈2-⅄ᐱ(Vn1-Mn2), ∈2-⅄ᐱ(Vn1-Nn2), ∈2-⅄ᐱ(Vn1-On2), ∈2-⅄ᐱ(Vn1-Pn2), ∈2-⅄ᐱ(Vn1-Qn2), ∈2-⅄ᐱ(Vn1-Rn2), ∈2-⅄ᐱ(Vn1-Sn2), ∈2-⅄ᐱ(Vn1-Tn2),∈2-⅄ᐱ(Vn1-Un2), ∈2-⅄ᐱ(Vn1-Vn2), ∈2-⅄ᐱ(Vn1-Wn2), ∈2-⅄ᐱ(Vn1-Yn2), ∈2-⅄ᐱ(Vn1-Zn2), ∈2-⅄ᐱ(Vn1-φn2), ∈2-⅄ᐱ(Vn1-Θn2), ∈2-⅄ᐱ(Vn1-Ψn2), ∈2-⅄ᐱ(Vn1cn-ᐱn2cn), ∈2-⅄ᐱ(Vn1cn-ᗑn2cn), ∈2-⅄ᐱ(Vn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Vn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Wn1-An2), ∈2-⅄ᐱ(Wn1-Bn2), ∈2-⅄ᐱ(Wn1-Dn2), ∈2-⅄ᐱ(Wn1-En2), ∈2-⅄ᐱ(Wn1-Fn2), ∈2-⅄ᐱ(Wn1-Gn2), ∈2-⅄ᐱ(Wn1-Hn2), ∈2-⅄ᐱ(Wn1-In2), ∈2-⅄ᐱ(Wn1-Jn2), ∈2-⅄ᐱ(Wn1-Kn2), ∈2-⅄ᐱ(Wn1-Ln2), ∈2-⅄ᐱ(Wn1-Mn2), ∈2-⅄ᐱ(Wn1-Nn2), ∈2-⅄ᐱ(Wn1-On2), ∈2-⅄ᐱ(Wn1-Pn2), ∈2-⅄ᐱ(Wn1-Qn2), ∈2-⅄ᐱ(Wn1-Rn2), ∈2-⅄ᐱ(Wn1-Sn2), ∈2-⅄ᐱ(Wn1-Tn2),∈2-⅄ᐱ(Wn1-Un2), ∈2-⅄ᐱ(Wn1-Vn2), ∈2-⅄ᐱ(Wn1-Wn2), ∈2-⅄ᐱ(Wn1-Yn2), ∈2-⅄ᐱ(Wn1-Zn2), ∈2-⅄ᐱ(Wn1-φn2), ∈2-⅄ᐱ(Wn1-Θn2), ∈2-⅄ᐱ(Wn1-Ψn2), ∈2-⅄ᐱ(Wn1cn-ᐱn2cn), ∈2-⅄ᐱ(Wn1cn-ᗑn2cn), ∈2-⅄ᐱ(Wn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Wn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Yn1-An2), ∈2-⅄ᐱ(Yn1-Bn2), ∈2-⅄ᐱ(Yn1-Dn2), ∈2-⅄ᐱ(Yn1-En2), ∈2-⅄ᐱ(Yn1-Fn2), ∈2-⅄ᐱ(Yn1-Gn2), ∈2-⅄ᐱ(Yn1-Hn2), ∈2-⅄ᐱ(Yn1-In2), ∈2-⅄ᐱ(Yn1-Jn2), ∈2-⅄ᐱ(Yn1-Kn2), ∈2-⅄ᐱ(Yn1-Ln2), ∈2-⅄ᐱ(Yn1-Mn2), ∈2-⅄ᐱ(Yn1-Nn2), ∈2-⅄ᐱ(Yn1-On2), ∈2-⅄ᐱ(Yn1-Pn2), ∈2-⅄ᐱ(Yn1-Qn2), ∈2-⅄ᐱ(Yn1-Rn2), ∈2-⅄ᐱ(Yn1-Sn2), ∈2-⅄ᐱ(Yn1-Tn2),∈2-⅄ᐱ(Yn1-Un2), ∈2-⅄ᐱ(Yn1-Vn2), ∈2-⅄ᐱ(Yn1-Wn2), ∈2-⅄ᐱ(Yn1-Yn2), ∈2-⅄ᐱ(Yn1-Zn2), ∈2-⅄ᐱ(Yn1-φn2), ∈2-⅄ᐱ(Yn1-Θn2), ∈2-⅄ᐱ(Yn1-Ψn2), ∈2-⅄ᐱ(Yn1cn-ᐱn2cn), ∈2-⅄ᐱ(Yn1cn-ᗑn2cn), ∈2-⅄ᐱ(Yn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Yn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Zn1-An2), ∈2-⅄ᐱ(Zn1-Bn2), ∈2-⅄ᐱ(Zn1-Dn2), ∈2-⅄ᐱ(Zn1-En2), ∈2-⅄ᐱ(Zn1-Fn2), ∈2-⅄ᐱ(Zn1-Gn2), ∈2-⅄ᐱ(Zn1-Hn2), ∈2-⅄ᐱ(Zn1-In2), ∈2-⅄ᐱ(Zn1-Jn2), ∈2-⅄ᐱ(Zn1-Kn2), ∈2-⅄ᐱ(Zn1-Ln2), ∈2-⅄ᐱ(Zn1-Mn2), ∈2-⅄ᐱ(Zn1-Nn2), ∈2-⅄ᐱ(Zn1-On2), ∈2-⅄ᐱ(Zn1-Pn2), ∈2-⅄ᐱ(Zn1-Qn2), ∈2-⅄ᐱ(Zn1-Rn2), ∈2-⅄ᐱ(Zn1-Sn2), ∈2-⅄ᐱ(Zn1-Tn2),∈2-⅄ᐱ(Zn1-Un2), ∈2-⅄ᐱ(Zn1-Vn2), ∈2-⅄ᐱ(Zn1-Wn2), ∈2-⅄ᐱ(Zn1-Yn2), ∈2-⅄ᐱ(Zn1-Zn2), ∈2-⅄ᐱ(Zn1-φn2), ∈2-⅄ᐱ(Zn1-Θn2), ∈2-⅄ᐱ(Zn1-Ψn2), ∈2-⅄ᐱ(Zn1cn-ᐱn2cn), ∈2-⅄ᐱ(Zn1cn-ᗑn2cn), ∈2-⅄ᐱ(Zn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Zn1cn-∘∇°n2cn)
∈2-⅄ᐱ(φn1-An2), ∈2-⅄ᐱ(φn1-Bn2), ∈2-⅄ᐱ(φn1-Dn2), ∈2-⅄ᐱ(φn1-En2), ∈2-⅄ᐱ(φn1-Fn2), ∈2-⅄ᐱ(φn1-Gn2), ∈2-⅄ᐱ(φn1-Hn2), ∈2-⅄ᐱ(φn1-In2), ∈2-⅄ᐱ(φn1-Jn2), ∈2-⅄ᐱ(φn1-Kn2), ∈2-⅄ᐱ(φn1-Ln2), ∈2-⅄ᐱ(φn1-Mn2), ∈2-⅄ᐱ(φn1-Nn2), ∈2-⅄ᐱ(φn1-On2), ∈2-⅄ᐱ(φn1-Pn2), ∈2-⅄ᐱ(φn1-Qn2), ∈2-⅄ᐱ(φn1-Rn2), ∈2-⅄ᐱ(φn1-Sn2), ∈2-⅄ᐱ(φn1-Tn2),∈2-⅄ᐱ(φn1-Un2), ∈2-⅄ᐱ(φn1-Vn2), ∈2-⅄ᐱ(φn1-Wn2), ∈2-⅄ᐱ(φn1-Yn2), ∈2-⅄ᐱ(φn1-Zn2), ∈2-⅄ᐱ(φn1-φn2), ∈2-⅄ᐱ(φn1-Θn2), ∈2-⅄ᐱ(φn1-Ψn2), ∈2-⅄ᐱ(φn1cn-ᐱn2cn), ∈2-⅄ᐱ(φn1cn-ᗑn2cn), ∈2-⅄ᐱ(φn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(φn1cn-∘∇°n2cn)
∈2-⅄ᐱ(Θn1-An2), ∈2-⅄ᐱ(Θn1-Bn2), ∈2-⅄ᐱ(Θn1-Dn2), ∈2-⅄ᐱ(Θn1-En2), ∈2-⅄ᐱ(Θn1-Fn2), ∈2-⅄ᐱ(Θn1-Gn2), ∈2-⅄ᐱ(Θn1-Hn2), ∈2-⅄ᐱ(Θn1-In2), ∈2-⅄ᐱ(Θn1-Jn2), ∈2-⅄ᐱ(Θn1-Kn2), ∈2-⅄ᐱ(Θn1/Ln2), ∈2-⅄ᐱ(Θn1-Mn2), ∈2-⅄ᐱ(Θn1-Nn2), ∈2-⅄ᐱ(Θn1-On2), ∈2-⅄ᐱ(Θn1-Pn2), ∈2-⅄ᐱ(Θn1-Qn2), ∈2-⅄ᐱ(Θn1-Rn2), ∈2-⅄ᐱ(Θn1-Sn2), ∈2-⅄ᐱ(Θn1-Tn2),∈2-⅄ᐱ(Θn1-Un2), ∈2-⅄ᐱ(Θn1-Vn2), ∈2-⅄ᐱ(Θn1-Wn2), ∈2-⅄ᐱ(Θn1-Yn2), ∈2-⅄ᐱ(Θn1-Zn2), ∈2-⅄ᐱ(Θn1-φn2), ∈2-⅄ᐱ(Θn1-Θn2), ∈2-⅄ᐱ(Θn1-Ψn2), ∈2-⅄ᐱ(Θn1cn-ᐱn2cn), ∈2-⅄ᐱ(Θn1cn-ᗑn2cn), ∈2-⅄ᐱ(Θn1cn-∘⧊°n2cn), ∈2-⅄ᐱ(Θn1cn-∘∇°n2cn)
∈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)
⅄ncn
Exponential arc path functions dependent of definition of cn and ratio value where applicable with fractals to being the multiple of the number from some complex and basic numerals.
Multiplication after division, what is an error in order of operations to PEMDAS with many of these variables.
Variables of 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.
Function path ⅄ncn=(⅄nncn)(ncn) is nncn to a multiple of nncn such that nncn is a number or variable with a repeating or not repeating decimal stem cycle variant. =
Examples of ⅄ncn=(⅄nncn)(ncn)
⅄ncn=(⅄nncn)(2)=(nncn)x(nncn)
⅄ncn=(⅄nncn)(3)=(nncn)x(nncn)x(nncn)
⅄ncn=(⅄nncn)(10)=(nncn)x(nncn)x(nncn)x(nncn)x(nncn)x(nncn)x(nncn)x(nncn)x(nncn)x(nncn)
⅄ncnᐱA exponential complex function variables of Ancn
if A=∈1⅄(φ/Q)cn and path ⅄ of Q is a variant in the definition of A then
A=1⅄(φn2/Qn1)=[(Yn2/Yn1)/(P/P) while Q requires path definition of 1⅄Q or 2⅄Q from P two sets of A complete the formula of Q variable.
A=1⅄(φn2/1⅄Qn1)=[(Yn3/Yn2)/(Pn2/Pn1)=(1/1)/(3/2)=(1/1.5)=0.^6
and
A=1⅄(φn2/2⅄Qn1c1)=[(Yn3/Yn2)/(Pn1/Pn2)=(1/1)/(2/3)=(1/0.^6)=1.^6
Applied function of ⅄ncn=(⅄nncn)(ncn) with A variables is then
An1 of 1⅄(φn2/1⅄Qn1)c1 along path ⅄(2)=(1⅄(φn2/1⅄Qn1))c1(1⅄(φn2/1⅄Qn1)c1) or [An1 of 1⅄(φn2/1⅄Qn1)c1 x An1 of 1⅄(φn2/1⅄Qn1)c1]
and
An1 of 1⅄(φn2/2⅄Qn1c1)c1 along path ⅄(2)=(1⅄(φn2/2⅄Qn1c1))c1(1⅄(φn2/2⅄Qn1c1)c1) or [An1 of 1⅄(φn2/2⅄Qn1c1)c1 x An1 of 1⅄(φn2/2⅄Qn1c1)c1]
⅄(2)ᐱAn1=
⅄(2)=(1⅄(φn2/1⅄Qn1))c1(1⅄(φn2/1⅄Qn1)c1)=0.6(2)=0.6x0.6=0.36
and
⅄(2)=(1⅄(φn2/2⅄Qn1c1))c1(1⅄(φn2/2⅄Qn1c1)c1)=1.6(2)=1.6x1.6=2.56
⅄(2)ᐱAn1=
[An1 of 1⅄(φn2/1⅄Qn1)c1 x An1 of 1⅄(φn2/1⅄Qn1)c1]=0.36
and
[An1 of 1⅄(φn2/2⅄Qn1c1)c1 x An1 of 1⅄(φn2/2⅄Qn1c1)c1]=2.56
Any change in cn stem decimal cycle count variable will change the multiple of the exponent squared value in the example and ultimately the final product value also.
Potential Change of An1 of 1⅄(φn2/1⅄Qn1)c1 is An1c1=0.6, An1c2=0.66, An1c3=0.666 and so on for An1 of 1⅄(φn2/1⅄Qn1)
then ⅄(2)ᐱAn1c2 of 1⅄(φn2/1⅄Qn1)=0.66(2)=(0.66x0.66)=0.4356
and ⅄(2)ᐱAn1c3 of 1⅄(φn2/1⅄Qn1)=0.666(2)=(0.666x0.666)=0.443556
Potential Change of An1 of 1⅄(φn2/2⅄Qn1c1)c1 is based at variable 2⅄Qn1cn as well as An1 of 1⅄(φn2/2⅄Qn1c1)cn
if 2⅄Qn1cn for An1 of 1⅄ path (φn2/2⅄Qn1c1) is 2⅄Qn1c2 then A=1⅄(φn2/2⅄Qn1c2)=[(Yn3/Yn2)/(Pn1/Pn2)=(1/1)/(2/3)=(1/0.^66)=^1.5
and ⅄(2)ᐱAn1c1 of 1⅄(φn2/2⅄Qn1c2)=1.5(2)=(1.5x1.5)=2.25 while ⅄(2)ᐱAn1c2 of 1⅄(φn2/2⅄Qn1c2)=1.515(2)=(1.515x1.515)=2.295225
however
A=1⅄(φn2/2⅄Qn1c1)=[(Yn3/Yn2)/(Pn1/Pn2)=(1/1)/(2/3)=(1/0.^6)=1.^6 and ⅄(2)ᐱA of 1⅄(φn2/2⅄Qn1c1)=(1.^6)(2)=(1.6x1.6)=2.56
then ⅄(2)ᐱAn1c2 of 1⅄(φn2/2⅄Qn1c1)(1.^66)(2)=(1.66x1.66)=2.7556 and ⅄(2)ᐱAn1c3 of 1⅄(φn2/2⅄Qn1c1)(1.^666)(2)=(1.666x1.666)=2.775556
It is not that these order of operations are incorrect by any means given the path and extent of the defined variables decimal stem cycles have potential change and limit to the variable definition at cn of the variants.
Although 0.4356 ≠ 0.443556 ≠ 2.25 ≠ 2.295225 ≠ 2.56 ≠ 2.7556 ≠ 2.775556 are not equal.
The values are precise scale variables to the function of ƒ⅄(2)ᐱAn1cn of ∈[0.4356; 0.443556; 2.25; 2.295225; 2.56; 2.7556; 2.775556 . . .} of altered paths with variants Ancn within the paths sub-units n⅄Qncn. These are exponential products from ratios divided by ratios from variables of consecutive bases in y fibonacci and p prime variables.
Commonly referred to as an algorithm of partial derivative quadratic set variables...
Variable change in cn stem decimal cycle count variables, when applied to numbers greater in exponent will produce astronomical differences in numerical precision based products, quotients, sums, and differences.
With Variables of set ∈A complex variables factor to quotients that are applicable to examples of ⅄ncn=(⅄nncn)(ncn)
⅄ncn=(⅄nncn)(2)=(nncn)x(nncn)
⅄ncn=(⅄nncn)(3)=(nncn)x(nncn)x(nncn)
⅄ncn=(⅄nncn)(10)=(nncn)x(nncn)x(nncn)x(nncn)x(nncn)x(nncn)x(nncn)x(nncn)x(nncn)x(nncn) with definitions in
∈n⅄ᐱ(An/An), ∈n⅄ᐱ(An/Bn), ∈n⅄ᐱ(An/Dn), ∈n⅄ᐱ(An/En), ∈n⅄ᐱ(An/Fn), ∈n⅄ᐱ(An/Gn), ∈n⅄ᐱ(An/Hn), ∈n⅄ᐱ(An/In), ∈n⅄ᐱ(An/Jn), ∈n⅄ᐱ(An/Kn), ∈n⅄ᐱ(An/Ln), ∈n⅄ᐱ(An/Mn), ∈n⅄ᐱ(An/Nn), ∈n⅄ᐱ(An/On), ∈n⅄ᐱ(An/Pn), ∈n⅄ᐱ(An/Qn), ∈n⅄ᐱ(An/Rn), ∈n⅄ᐱ(An/Sn), ∈n⅄ᐱ(An/Tn),∈n⅄ᐱ(An/Un), ∈n⅄ᐱ(An/Vn), ∈n⅄ᐱ(An/Wn), ∈n⅄ᐱ(An/Yn), ∈n⅄ᐱ(An/Zn), ∈n⅄ᐱ(An/φn), ∈n⅄ᐱ(An/Θn), ∈n⅄ᐱ(An/Ψn), ∈n⅄ᐱ(An/ᐱn), ∈n⅄ᐱ(An/ᗑn), ∈n⅄ᐱ(An/∘⧊°n), ∈n⅄ᐱ(An/∘∇°n)
such that a variable from these sets is applicable to be squared, cubed, factored to the power of 10, and so on with exponential precision based on nncn numbered cycles in ratio decimal stem value. =
Sets ∈A applied to a squared function ⅄ncn=(⅄nncn)(2)
n⅄ncnᐱ(An/An)(2)=(An/An)x(An/An)
n⅄ncnᐱ(An/Bn)(2)=(An/Bn)x(An/Bn)
n⅄ncnᐱ(An/Dn)(2)=(An/Dn)x(An/Dn)
n⅄ncnᐱ(An/En)(2)=(An/En)x(An/En)
n⅄ncnᐱ(An/Fn)(2)=(An/Fn)x(An/Fn)
n⅄ncnᐱ(An/Gn)(2)=(An/Gn)x(An/Gn)
n⅄ncnᐱ(An/Hn)(2)=(An/Hn)x(An/Hn)
n⅄ncnᐱ(An/In)(2)=(An/In)x(An/In)
n⅄ncnᐱ(An/Jn)(2)=(An/Jn)x(An/Jn)
n⅄ncnᐱ(An/Kn)(2)=(An/Kn)x(An/Kn)
n⅄ncnᐱ(An/Ln)(2)=(An/Ln)x(An/Ln)
n⅄ncnᐱ(An/Mn)(2)=(An/Mn)x(An/Mn)
n⅄ncnᐱ(An/Nn)(2)=(An/Nn)x(An/Nn)
n⅄ncnᐱ(An/On)(2)=(An/On)x(An/On)
n⅄ncnᐱ(An/Pn)(2)=(An/Pn)x(An/Pn)
n⅄ncnᐱ(An/Qn)(2)=(An/Qn)x(An/Qn)
n⅄ncnᐱ(An/Rn)(2)=(An/Rn)x(An/Rn)
n⅄ncnᐱ(An/Sn)(2)=(An/Sn)x(An/Sn)
n⅄ncnᐱ(An/Tn)(2)=(An/Tn)x(An/Tn)
n⅄ncnᐱ(An/Un)(2)=(An/Un)x(An/Un)
n⅄ncnᐱ(An/Vn)(2)=(An/Vn)x(An/Vn)
n⅄ncnᐱ(An/Wn)(2)=(An/Wn)x(An/Wn)
n⅄ncnᐱ(An/Yn)(2)=(An/Yn)x(An/Yn)
n⅄ncnᐱ(An/Zn)(2)=(An/Zn)x(An/Zn)
n⅄ncnᐱ(An/φn)(2)=(An/φn)x(An/φn)
n⅄ncnᐱ(An/Θn)(2)=(An/Θn)x(An/Θn)
n⅄ncnᐱ(An/Ψn)(2)=(An/Ψn)x(An/Ψn)
n⅄ncnᐱ(An/ᐱn)(2)=(An/ᐱn)x(An/ᐱn)
n⅄ncnᐱ(An/ᗑn)(2)=(An/ᗑn)x(An/ᗑn)
n⅄ncnᐱ(An/∘⧊°n)(2)=(An/∘⧊°n)x(An/∘⧊°n)
n⅄ncnᐱ(An/∘∇°n)(2)=(An/∘∇°n)x(An/∘∇°n)
And so on for sets ∈A applied to a squared function ⅄ncn=(⅄nncn)(2), ⅄ncn=(⅄nncn)(3), ⅄ncn=(⅄nncn)(10), to ⅄ncn=(⅄nncn)(n)
Variable definition (⅄nncn) decimal stem cycle count is required before any exponential factoring is applied of the variables in exponent path functions.
∀
Numerical values exist before the nomenclature of numerical nomenclature and it is in the moment numerical value is completed that numerical nomenclature is defined in itself the value it is structured.
⅄ncn ⅄X 1⅄ 2⅄ 3⅄ncn +⅄ 1-⅄ 2-⅄ function through variables A B C 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 ᐱ ᗑ ∘⧊° ∘∇° ∀ creates A LIST from ACQFPS.
∀ refers to all or for any and when applied with notation for path ⅄ of consecutive variables of sets ∈ and variables of not same sets ∉.
Given ∀ represents for any and ⅄ represents a function of sequential variables of sets ∈ variable number N or n.
Then
1⅄∀2nd=(n3/n1)
2⅄∀2nd=(n1/n3)
and
1⅄∀3rd=(n4/n1)
2⅄∀3rd=(n1/n4)
and so on for functions of 1⅄∀ and 2⅄∀ variables.
Path functions +⅄, 1-⅄, 2-⅄, and X of ∀ function to set ∈ consecutive variables Nncn
+⅄∀ then are
+⅄∀2nd=(n3+n1)
+⅄∀2nd=(n1+n3)
and
+⅄∀3rd=(n4+n1)
+⅄∀3rd=(n1+n4)
and so on for functions of +⅄∀ variables.
1-⅄∀ then are
1-⅄∀2nd=(n3-n1)
and
1-⅄∀3rd=(n4-n1)
and so on for functions of 1-⅄∀ variables.
2-⅄∀ then are
2-⅄∀2nd=(n1-n3)
and
2-⅄∀3rd=(n1-n4)
and so on for functions of 2-⅄∀ variables.
X∀ then are
X∀2nd=(n3xn1)
X∀2nd=(n1xn3)
and
X∀3rd=(n4xn1)
X∀3rd=(n1xn4)
and so on for functions of X∀ variables.
Practical application of (for all, for any ∈1⅄∀2nd) added in combination notation for variables of sets.
if 1⅄∀2nd=(n3/n1) then 1⅄∀Y2nd=(Y3/Y1) is not φ=(Yn2/Yn1) and 1⅄∀P2nd=(P3/P1) is not 1⅄Q=(Pn2/Pn1).
If plotted points on a graph are visual lines connecting the numbers, a web of lines then forms an arc of the crossing lines and so instead, precise equations can be formulated for exact numbers and quotients, products, sums, and differences from this for all for any formula combination, rather than trying to guess or estimate what the crossing in the web numeral representation line graph factors are from a visual representation. ≠
Since 1⅄∀Y2nd=(Y3/Y1) and is not φ=(Yn2/Yn1) it is 1⅄∀Y2nd a variable from path division of factors from ordinal consecutive Y base of which the second ordinal from the divisor is the denominator.
So values for an ordinal consecutive set 1⅄∀Y2nd≠φ and 1⅄∀P2nd≠1⅄Q
∈1⅄∀Y2nd=(Y3/Y1)≠∉φ ≠∉1⅄Q
Although the (for all for any ∀) set is a quotient producing factor path the variables of sets ∈φ and ∈1⅄Q are applicable to a function for entirely different library sets for 1⅄∀φ2nd=(φn3/φn1) and 1⅄∀(1⅄Q)2nd=(1⅄Qn3/1⅄Qn1) after the variables are factored complete notable quotients for sets ∈φ and ∈1⅄Q.
(Functions for all for any ∀) are then applicable in combination with variables from all sets A B C 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 ᐱ ᗑ following the factored definitions of each set base.
A computer can print out such combinatorial sequence equation answers, yet if the reader can not comprehend what the computer is printing out from such an equation then the reader is dependent of a computer the reader has no idea of what they are reading. If the computer is limited and the reader can not comprehend the computer print out, it is highly probable the reader has no idea nor comprehends the computers limits and will have no idea.
When a reader is relying on something such as DNA and RNA sequencing and a computer default is to print out basic complex quotients rooted to computer shell structures of basic prime and consecutive Y numeral algorithms, the DNA RNA sequence reader will certainly not be aware of what they have been reading.
To Begin 1⅄∀Y2nd=(Y3/Y1)
1st tier fibonacci 01 to 10 digit value for basic numerical display of decimal precision laws not applicable to standard definition floating point. 9 bold numbers are also prime numbers in the ten digit base logic that prime fibonacci scale bases share in common of the ten digit example shown below. 2 - 3- 5 - 13- 89 - 1597 - 28657 - 514229 - 434894437
0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 121393 196418 317811 514229 832040 1346296 2178309 3524578 5702887 9227465 14930352 24157817 39088169 63245986 102334155 165780141 269114296 434894437 704008733 1138903170
After factoring quotients for sets ∈φ and ∈1⅄Q from Y base and P base then
if 1⅄∀2nd=(n3/n1) of (Nn) then
(Nn1)1⅄∀Y2nd=(Yn3/Yn1)=(1/0)=0
(Nn2)1⅄∀Y2nd=(Yn4/Yn2)=(2/1)=2
(Nn3)1⅄∀Y2nd=(Yn5/Yn3)=(3/1)=3
(Nn4)1⅄∀Y2nd=(Yn6/Yn4)=(5/2)=2.5
(Nn5)1⅄∀Y2nd=(Yn7/Yn5)=(8/3)=2.^6 or 2.6
(Nn6)1⅄∀Y2nd=(Yn8/Yn6)=(13/5)=2.6
(Nn7)1⅄∀Y2nd=(Yn9/Yn7)=(21/8)=2.625
(Nn8)1⅄∀Y2nd=(Yn10/Yn8)=(34/13)=2.^615384 (a path number bridge example) or 2.615384
(Nn9)1⅄∀Y2nd=(Yn11/Yn9)=(55/21)=2.^619047 (a path number bridge example) or 2.619047
(Nn10)1⅄∀Y2nd=(Yn12/Yn10)=(89/34)=2.6^1764705882352941 or 2.61764705882352941
(Nn11)1⅄∀Y2nd=(Yn13/Yn11)=(144/55)=2.6^18 or 2.618
(Nn12)1⅄∀Y2nd=(Yn14/Yn12)=(233/89)=2.^61797752808988764044943820224719101123595505 or 2.61797752808988764044943820224719101123595505
(Nn13)1⅄∀Y2nd=(Yn15/Yn13)=(377/144)=2.6180^5 or 2.61805
(Nn14)1⅄∀Y2nd=(Yn16/Yn14)=(610/233)=^2.618025751072961373390557939914163090128755364806866952789699570815450643776824034334763948497854077253218884120171673819742489270386266094420600858369098712446351931330472103004291845493562231759656652360515021459227467811158798283
or
2.6180257510729613733905579399141630901287553648068669527896995708154506437768240343347639484978540772532188841201716738197424892703862660944206008583690987124463519313304721030042918454935622317596566523605150214592274678111587982832618025751072961373390557939914163090128755364806866952789699570815450643776824034334763948497854077253218884120171673819742489270386266094420600858369098712446351931330472103004291845493562231759656652360515021459227467811158798283
(Nn15)1⅄∀Y2nd=(Yn17/Yn15)=(987/377)=2.^618037135278514588859416445623342175066312997347480106100795755968169761273209549071 or 2.618037135278514588859416445623342175066312997347480106100795755968169761273209549071
(Nn16)1⅄∀Y2nd=(Yn18/Yn16)=(1597/610)=2.6^180327868852459016393442622950819672131147540983606557377049 or 2.6180327868852459016393442622950819672131147540983606557377049
(Nn17)1⅄∀Y2nd=(Yn19/Yn17)=(2584/987)=2.^618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745694022289766970
or
2.618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745694022289766970
(Nn18)1⅄∀Y2nd=(Yn20/Yn18)=(4181/1597)=2.^6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129
or
2.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129
(Nn19)1⅄∀Y2nd=(Yn21/Yn19)=(6765/2584)=2.618^034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743
or
2.618034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743
(Nn20)1⅄∀Y2nd=(Yn22/Yn20)=(10946/4181)=2.^618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936
or
2.618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936
(Nn21)1⅄∀Y2nd=(Yn23/Yn21)=(17711/6765)=2.61^803399852
or
2.61803399852
(Nn22)1⅄∀Y2nd=(Yn24/Yn22)=(28657/10946)=2.6^180339850173579389731408733784030696144710396491869175954686643522748035812168828795907180705280467750776539375114196966928558377489493879042572629270966563128083318107071076192216334734149460990316097204458249588890919057189841037822035446738534624520372738900054814544125708021194957061940434862050063950301479992691394116572263840672391741275351726658139959802667641147451123698154577014434496619769778914672026310981
or
2.6180339850173579389731408733784030696144710396491869175954686643522748035812168828795907180705280467750776539375114196966928558377489493879042572629270966563128083318107071076192216334734149460990316097204458249588890919057189841037822035446738534624520372738900054814544125708021194957061940434862050063950301479992691394116572263840672391741275351726658139959802667641147451123698154577014434496619769778914672026310981
(Nn23)1⅄∀Y2nd=(Yn25/Yn23)=(46368/17711)=2.^618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793348766303427248602563378691208853255039241149568065044322737281915193947264411947377336118796228332674609000056462085709446106939190333690926542826492010614872113375868104567782733894190051380497995595957314663203658743153972107729659533623172039975156682287843712946756253175992321156343515329456270114
or
2.618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793348766303427248602563378691208853255039241149568065044322737281915193947264411947377336118796228332674609000056462085709446106939190333690926542826492010614872113375868104567782733894190051380497995595957314663203658743153972107729659533623172039975156682287843712946756253175992321156343515329456270114
(Nn24)1⅄∀Y2nd=(Yn26/Yn24)=(75025/28657)=2.^6180339882053250514708448197648044107896848937432389991974037756918030498656523711484105105209896360400600202393830477719230903444184666922566912098265694245734026590361866210698956624908399343964825348082492933663677286526852078026311197962103500017447744006699933698572774540251945423456747042607390864361238091914715427295250724081376278047248490770143420455735073455002268206720870991380814460690232752905049377115538960812366960951948913005548382594130578916146142303800118644659245559549150294866873713228879505879889730257877656419025020064905607704923753358690721289737236975259098998499494015423805701922741389538332693582719754335764385664933524095334473252608437729001640087936629793767665840806783682869804934222005094741249956380639983250165753568063649370136441358132393481522839096904770213211431761873189796559304881878773074641448860662316362494329483197822521547963848274418117737376557211152597969082597620127717486129043514673552709634644240499703388351886101127124262832815716927801235300275674355305858952437449837735980737690616603273196775656907561852252503751264961440485745193146526154168266043200614160589035837666189761663816868478905677495899780158425515580835397983040792825487664444987263146875109048400041874585616079840876574658896604669016296192902257738074466971420595317025508601737795303067313396377848344209093764176292005443696130090379313954705656558606972118505077293505949680706284677391213316118225913389398750741529120284747182189342917960707680496911749310814111735352618906375405660048155773458491817008060857731095369368740621837596398785637017133684614579334891998464598527410405834525595840457828802735806260250549603936211047911505042398017936280838887531842132812227378999895313535959800397808563352758488327459259517744355654813832571448511707436228495655511742331716509055379139477265589559269986390759674774051715113235858603482569703737306766235125798234288306521966709704435216526503123146177199288132044526642705098230798757720626722964720661618452734061485849879610566353770457479847855672261576578148445406009003035907457165788463551662770003838503681473985413686010398855427993160484349373625990159472380221237394004955159297902781170394667969431552500261716160100499005478591618103779181351851205639110862965418571378720731409428760861220644170708727361552151306836026101825034023100813064870712216910353491293575740656733084412185504414279233695083225738911958683742192134557001779669888683393237254423003105698433192588198345953868164846285375300973584115573856300380360819346058554628886484977492410231357085528841120843074990403740796315036465784974002861430017098789126565935024601319049446906514987612101755243047074013330076421118749345709599748752486303520954740552046620371985902222842586453571553198171476428097846948389573228181596119621732909934745437414942247967337823219457724116271766060648358167288969536238964301915762291935652720103290644519663607495550825278291516906863942492235753917018529504135115329587884286561747566039711065359249049097951634853613427783787556268974421607286177897197892312523990648009212408835537564992846424957253027183585162438496702376382733712530969745611892382314966674808947203126635726000628118784241197613148619883449070035244442893533866071117004571308929755382629026066929546009700945667725163136406462644380081655441951355689709320584848379104581777576159402589245210594270160868199741773388700840981261122936804271207732840143769410615207453676239662211676030289283595631084900722336601877377255120912865966430540531109327563945981784555257005269218690023379976968977911156087517883937606867432041037093903758244059043165718672575635970269044212583312977631992183410684998429703039397005967128450291377324911888892766165334822207488571727675611543427434832676134975747635830687092158983843389049795861395121610775726698537879052238545556059601493526886973514324597829500645566528247897546847192657989321980667899640576473461981365809400844470809924276791010922287748194158495306556862197717835083923648672226681090135045538611857486826953274941550057577555222109781205290155982831419897407265240604389852392085703318560910074327389468541717555920019541473287503925742401507485082178874271556687720277768084586662944481278570680810971141431412918309662560630910423282269602540391527375510346512195973060683253655302369403636109850996266182782566214188505426248386083679380256132882018355026695048330250898558816345046585476497888822975189308022472694280629514603761733607844505705412290190878319433297274662386153470356282932616812646124856056111944725546986774610042921450256481836898489025369019785741703597724814181526328645706110199951146316781240185643996231287294552814321108280699305579788533342638796803573297972572146421467704225843598422723941794325993649021181561224133719510067348291865861744076490909725372509334543043584464528736434379034790801549359667794954112433262379174372753602959137383536308755277942562026729943818264298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or
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(Nn25)1⅄∀Y2nd=(Yn27/Yn25)=(121393/46368)=2.61803^398895790200138026224982746721877156659765355417529330572808833678398895790200138026224982746721877156659765355417529330572808833678
or
2.61803398895790200138026224982746721877156659765355417529330572808833678398895790200138026224982746721877156659765355417529330572808833678
(Nn26)1⅄∀Y2nd=(Yn28/Yn26)=(196418/75025)=2.61^803398867044318560479840053315561479506831056314561812729090303232255914695101632789070309896701099633455514828390536487837387537487504165278240586471176274575141619460179940019993335554815061646117960679773408863712095968010663112295901366211262912362545818060646451182939020326557814061979340219926691102965678107297567477507497500833055648117294235254915028323892035988003998667110963012329223592135954681772742419193602132622459180273242252582472509163612129290236587804065311562812395868043985338220593135621459513495501499500166611129623458847050983005664778407197600799733422192602465844718427190936354548483838720426524491836054648450516494501832722425858047317560813062312562479173608797067644118627124291902699100299900033322225924691769410196601132955681439520159946684438520493168943685438187270909696767744085304898367210929690103298900366544485171609463512162612462512495834721759413528823725424858380539820059980006664445184938353882039320226591136287904031989336887704098633788737087637454181939353548817060979673442185938020659780073308897034321892702432522492502499166944351882705764745084971676107964011996001332889036987670776407864045318227257580806397867377540819726757747417527490836387870709763412195934688437187604131956014661779406864378540486504498500499833388870376541152949016994335221592802399200266577807397534155281572809063645451516161279573475508163945351549483505498167277574141952682439186937687437520826391202932355881372875708097300899700099966677774075308230589
or
2.61803398867044318560479840053315561479506831056314561812729090303232255914695101632789070309896701099633455514828390536487837387537487504165278240586471176274575141619460179940019993335554815061646117960679773408863712095968010663112295901366211262912362545818060646451182939020326557814061979340219926691102965678107297567477507497500833055648117294235254915028323892035988003998667110963012329223592135954681772742419193602132622459180273242252582472509163612129290236587804065311562812395868043985338220593135621459513495501499500166611129623458847050983005664778407197600799733422192602465844718427190936354548483838720426524491836054648450516494501832722425858047317560813062312562479173608797067644118627124291902699100299900033322225924691769410196601132955681439520159946684438520493168943685438187270909696767744085304898367210929690103298900366544485171609463512162612462512495834721759413528823725424858380539820059980006664445184938353882039320226591136287904031989336887704098633788737087637454181939353548817060979673442185938020659780073308897034321892702432522492502499166944351882705764745084971676107964011996001332889036987670776407864045318227257580806397867377540819726757747417527490836387870709763412195934688437187604131956014661779406864378540486504498500499833388870376541152949016994335221592802399200266577807397534155281572809063645451516161279573475508163945351549483505498167277574141952682439186937687437520826391202932355881372875708097300899700099966677774075308230589
(Nn27)1⅄∀Y2nd=(Yn29/Yn27)=(317811/121393)=2.^6180339887802426828565073768668704126267577207911494072969611097839249380112527081462687304869308773982025322712182745298328569192622309358859242295684265155321970789089980476633743296565699834422083645679734416317250582817790152644715922664404043066733666685887983656388753882019556317085828672163963325727183610257593106686547000238893511157974512533671628512352442068323544191180710584630085754532798431540533638677683227204204525796380351420592620661817402980402494377764780506289489509279777252395113392040727224798793999654016294185002430123647986292455083901048660136910695015363324079642153995699916799156458774393910686777656042770176204558747209476658456418409628232270394503801701910324318535665153674429332828087286746352755101200233950886789188832964009456887958943266909953621708006227706704669956257774336246735808489781124117535607489723460166566441228077401497615183742060909607638002191230136828317942550229420147784468626691819132898931569365614162266358027233860272009094428838565650408178395788884037794601006647829776016739021195620834809255887901279315940787360061947558755447183939765884359065184977717001804057894606773042926692642903627062515960557857537090277034095870437339879564719547255607819231751418945079205555509790515103836300280905818292652788875800087319697181880339064031698697618478824973433394017776972313065827518884943942401950689084214081536826670401093967526957897078085227319532427734712874712709958564332375013386274332127882167835048149399059253828474458988574300000823770728130946594943695270732249800235598428245450726153896847429423442867381150478198907680014498364815104660071009036764887596484146532337119932780308584514757852594465908248416300775168255171220745842017249759047062021698120978969133310816933431087459738205662599985172126893642961291013485126819503595759228291581886929229856746270378028387139291392419661759739029433328116118721837338232023263285362417931841209954445478734358653299613651528506586046971406918026574843689504337152883609433822378555600405295198240425724712298073200266901715914426696761757267717248935276333890751526035273862578567133195489031492754936446088324697470200093909863006927911823581260863476477226858220819981382781544240606954272486881451154514675475521652813588921931248095030191197185999192704686431672336955178634682395195769113540319458288369181089519165025989966472531365070473585791602481197433130411143970410155445536398309622465875297587175537304457423409916552025240335109932203669074823095236133879218735841440610249355399405237534289456558450652014531315644229897934806784575716886476155956274249750809354740388655029532180603494435428731475455751155338446203652599408532617201980344830426795614244643430840328519766378621502063545673968021220333956653184285749590174062754854069015511602810705724382789781947888263738436318403861837173477877637096043429192787063504485431614673004209468420749137100162282833441796479203907968334253210646412890364353793052317678943596418244874086644205184812962856177868575
or
2.6180339887802426828565073768668704126267577207911494072969611097839249380112527081462687304869308773982025322712182745298328569192622309358859242295684265155321970789089980476633743296565699834422083645679734416317250582817790152644715922664404043066733666685887983656388753882019556317085828672163963325727183610257593106686547000238893511157974512533671628512352442068323544191180710584630085754532798431540533638677683227204204525796380351420592620661817402980402494377764780506289489509279777252395113392040727224798793999654016294185002430123647986292455083901048660136910695015363324079642153995699916799156458774393910686777656042770176204558747209476658456418409628232270394503801701910324318535665153674429332828087286746352755101200233950886789188832964009456887958943266909953621708006227706704669956257774336246735808489781124117535607489723460166566441228077401497615183742060909607638002191230136828317942550229420147784468626691819132898931569365614162266358027233860272009094428838565650408178395788884037794601006647829776016739021195620834809255887901279315940787360061947558755447183939765884359065184977717001804057894606773042926692642903627062515960557857537090277034095870437339879564719547255607819231751418945079205555509790515103836300280905818292652788875800087319697181880339064031698697618478824973433394017776972313065827518884943942401950689084214081536826670401093967526957897078085227319532427734712874712709958564332375013386274332127882167835048149399059253828474458988574300000823770728130946594943695270732249800235598428245450726153896847429423442867381150478198907680014498364815104660071009036764887596484146532337119932780308584514757852594465908248416300775168255171220745842017249759047062021698120978969133310816933431087459738205662599985172126893642961291013485126819503595759228291581886929229856746270378028387139291392419661759739029433328116118721837338232023263285362417931841209954445478734358653299613651528506586046971406918026574843689504337152883609433822378555600405295198240425724712298073200266901715914426696761757267717248935276333890751526035273862578567133195489031492754936446088324697470200093909863006927911823581260863476477226858220819981382781544240606954272486881451154514675475521652813588921931248095030191197185999192704686431672336955178634682395195769113540319458288369181089519165025989966472531365070473585791602481197433130411143970410155445536398309622465875297587175537304457423409916552025240335109932203669074823095236133879218735841440610249355399405237534289456558450652014531315644229897934806784575716886476155956274249750809354740388655029532180603494435428731475455751155338446203652599408532617201980344830426795614244643430840328519766378621502063545673968021220333956653184285749590174062754854069015511602810705724382789781947888263738436318403861837173477877637096043429192787063504485431614673004209468420749137100162282833441796479203907968334253210646412890364353793052317678943596418244874086644205184812962856177868575
(Nn28)1⅄∀Y2nd=(Yn30/Yn28)=(514229/196418)=2.6^180339887383030068527324379639340589966296367949984217332423708621409443126393711370648311254569336822490810414524127116659369304238919040006516714354081601482552515553564337280697288435886731358633119164231384089034609862639880255373743750572758097526703255302467187324990581311285116435357248317363989043773992200307507458583225569957946827683817165432903298068405135985500310562168436701320652893319349550448533230152022727041309859585170401897993055626266431793420154975613233003085256952010508201895956582390615931330122493865124377602867354315795904652323106843568308403506806911790161797798572432261808999175228339561547312364447250252013562911749432333085562422995855776965451231557189259640155179260556568135303281776619250781496604180879552790477451150098259833620136647354112148581087273060513802197354621266889999898176338217474976835116944475557229989104868189269822521357513058884623608834220896251871009785253897300654726145261635898950198047022167011170055697542995041187671191031371870195195959637100469407080817440356790110885967681169750226557647466118176541864798541885163274241668278874644889979533443981712470343858505839587003227810078506043234326792860124835809345375678400146626072966836033357431599955197588815688989807451455569245181195206142003278721909397305745909234387887057194350823244305511714812288079503915119795538087140689753484914824506918917818122575324053803622885886222240324206539115559673756987648789825779714690099685364885091997678420511358429471840666334042704843751590994715351953486951297742569418281420236434542659023103788858454927756111965298496064515472105407854677269903980286939078903155515278640450467879725890702481442637640134814528200063130670305165514362227494425154517406754981722652710036758341903491533362522783044323839973933142583673594069789937785742650877210846256453074565467523343074463643861560549440478978505024997708967609893186978790131250700037674754859534258571006730544043824904031198769970165667097720168212689264731338268386807726379456057998757751326253194717388426722601798205867079391909091834760561659318392408027777494934272826319380097547067987658972191957967192416173670437536274679510024539502489588530582736816381390707572625726766385972772352839352808805710270952764003299086641753810750542210998991945748353002270667657750308016576892138195073771242961439379282957773727458786872893522996874013583276481788838090195399606960665519453410583551405675650907757944791210581514932440000407294647130100092659532222097771080043580527242920709914569947764461505564663116414992515960858984410797381095418953456404199207811911331955319777209828019835249315235874512519219216161451598122371676730238572839556456129275320999093769410135527293832540805832459346903033326884501420440081866224073150118624565976641651987088759685975827062692828559500656762618497286399413495708132655866570273600179209644737244040770194177723019275219175431986885112362410777016363062448451771222596707022777953140750847681984339520817847651437240986060340701972324328727509698703784785508456455111038703173843537761304972049404840696881141239601258540459632009286317954566282112637334663829180624993636021138592186052194809029722326874319054261829363907584844566180288975552138806015741938111578368581290920384078852243684387377938885438198128481096437190074229449439460741887199747477318779337942551090022299381930372980073109389159852966632386033866549908867822704640104267429665305623720840248857029396491156614974187701738129906627702145424553757802238084085979900009164129560427252084839474997199849300980561862965715973077823824700383875204920119337331609119327149242941074646926452769094482175768004968994694987221130446293109592807176531682432363632660957753362726430367888890020262908694722479609811728049364111232168131230335305318249854901281959901841990041645877669052734474437169709497092934456108910588642588764777158916188943986803653432984756997831156004032217006587990917329368998767933692431447219704915028154242482868168905090164852508425908012503945666894072844647639218401572157337922186357665794377297396368968220835157673940270239998370821411479599629361871111608915679825677891028317160341720208942153977741347534340029936156564062356810475618324186174383203168752354672178720891160687920659002739056501949923123135354193607510513293079045708641774175482898716003624922359457890824669836776670162612387866692461994318239672535103707399525501736093433392051644961256096691749228685761997372949526010854402346017167469376533718905599283161421051023836919223289107922899123298272052459550550356891934547750206192915109613171908888187436996609272062641916728609394251036055758637192110702685089961205184860857966174179555845187304625848954780111802380637212475435041594965838161471962854728181734871549450661344683277500025455915445631255791220763881110692502723782952682544369660621735278844097791444775937032247553686525674836318463684591025262450488244458247207486075614251239703082202242157032451201010090724882648229795639910802472278508079707562443360588133470455864533800364528709181439582930281338777505116639004571882414035373540103249193047480373489191418301784968791047663656080399963343481758290991660642100011200602796077752548137136107688704701198464499180319522650673563522691403028235701412294188923622071296927980124021220051115478214827561628771293873270270545469356168986549094278528444439918948365221110081560753087802543555071327475078658778727000580394872160392632039833416489323789062102251321162011628262175564357645429644940891364335244224052785386268060972008675375983871131973648036330682524004928265230274211121
or
2.6180339887383030068527324379639340589966296367949984217332423708621409443126393711370648311254569336822490810414524127116659369304238919040006516714354081601482552515553564337280697288435886731358633119164231384089034609862639880255373743750572758097526703255302467187324990581311285116435357248317363989043773992200307507458583225569957946827683817165432903298068405135985500310562168436701320652893319349550448533230152022727041309859585170401897993055626266431793420154975613233003085256952010508201895956582390615931330122493865124377602867354315795904652323106843568308403506806911790161797798572432261808999175228339561547312364447250252013562911749432333085562422995855776965451231557189259640155179260556568135303281776619250781496604180879552790477451150098259833620136647354112148581087273060513802197354621266889999898176338217474976835116944475557229989104868189269822521357513058884623608834220896251871009785253897300654726145261635898950198047022167011170055697542995041187671191031371870195195959637100469407080817440356790110885967681169750226557647466118176541864798541885163274241668278874644889979533443981712470343858505839587003227810078506043234326792860124835809345375678400146626072966836033357431599955197588815688989807451455569245181195206142003278721909397305745909234387887057194350823244305511714812288079503915119795538087140689753484914824506918917818122575324053803622885886222240324206539115559673756987648789825779714690099685364885091997678420511358429471840666334042704843751590994715351953486951297742569418281420236434542659023103788858454927756111965298496064515472105407854677269903980286939078903155515278640450467879725890702481442637640134814528200063130670305165514362227494425154517406754981722652710036758341903491533362522783044323839973933142583673594069789937785742650877210846256453074565467523343074463643861560549440478978505024997708967609893186978790131250700037674754859534258571006730544043824904031198769970165667097720168212689264731338268386807726379456057998757751326253194717388426722601798205867079391909091834760561659318392408027777494934272826319380097547067987658972191957967192416173670437536274679510024539502489588530582736816381390707572625726766385972772352839352808805710270952764003299086641753810750542210998991945748353002270667657750308016576892138195073771242961439379282957773727458786872893522996874013583276481788838090195399606960665519453410583551405675650907757944791210581514932440000407294647130100092659532222097771080043580527242920709914569947764461505564663116414992515960858984410797381095418953456404199207811911331955319777209828019835249315235874512519219216161451598122371676730238572839556456129275320999093769410135527293832540805832459346903033326884501420440081866224073150118624565976641651987088759685975827062692828559500656762618497286399413495708132655866570273600179209644737244040770194177723019275219175431986885112362410777016363062448451771222596707022777953140750847681984339520817847651437240986060340701972324328727509698703784785508456455111038703173843537761304972049404840696881141239601258540459632009286317954566282112637334663829180624993636021138592186052194809029722326874319054261829363907584844566180288975552138806015741938111578368581290920384078852243684387377938885438198128481096437190074229449439460741887199747477318779337942551090022299381930372980073109389159852966632386033866549908867822704640104267429665305623720840248857029396491156614974187701738129906627702145424553757802238084085979900009164129560427252084839474997199849300980561862965715973077823824700383875204920119337331609119327149242941074646926452769094482175768004968994694987221130446293109592807176531682432363632660957753362726430367888890020262908694722479609811728049364111232168131230335305318249854901281959901841990041645877669052734474437169709497092934456108910588642588764777158916188943986803653432984756997831156004032217006587990917329368998767933692431447219704915028154242482868168905090164852508425908012503945666894072844647639218401572157337922186357665794377297396368968220835157673940270239998370821411479599629361871111608915679825677891028317160341720208942153977741347534340029936156564062356810475618324186174383203168752354672178720891160687920659002739056501949923123135354193607510513293079045708641774175482898716003624922359457890824669836776670162612387866692461994318239672535103707399525501736093433392051644961256096691749228685761997372949526010854402346017167469376533718905599283161421051023836919223289107922899123298272052459550550356891934547750206192915109613171908888187436996609272062641916728609394251036055758637192110702685089961205184860857966174179555845187304625848954780111802380637212475435041594965838161471962854728181734871549450661344683277500025455915445631255791220763881110692502723782952682544369660621735278844097791444775937032247553686525674836318463684591025262450488244458247207486075614251239703082202242157032451201010090724882648229795639910802472278508079707562443360588133470455864533800364528709181439582930281338777505116639004571882414035373540103249193047480373489191418301784968791047663656080399963343481758290991660642100011200602796077752548137136107688704701198464499180319522650673563522691403028235701412294188923622071296927980124021220051115478214827561628771293873270270545469356168986549094278528444439918948365221110081560753087802543555071327475078658778727000580394872160392632039833416489323789062102251321162011628262175564357645429644940891364335244224052785386268060972008675375983871131973648036330682524004928265230274211121
(Nn29)1⅄∀Y2nd=(Yn31/Yn29)=(832040/317811)=^2.61803398875432253760883040549257262964466302299165227131848803219523553306839599636
or
2.61803398875432253760883040549257262964466302299165227131848803219523553306839599636261803398875432253760883040549257262964466302299165227131848803219523553306839599636
(Nn30)1⅄∀Y2nd=(Yn32/Yn30)=(1346296/514229)
(Nn31)1⅄∀Y2nd=(Yn33/Yn31)=(2178309/832040)
(Nn32)1⅄∀Y2nd=(Yn34/Yn32)=(3524578/1346269)
(Nn33)1⅄∀Y2nd=(Yn35/Yn33)=(5702887/2178309)
(Nn34)1⅄∀Y2nd=(Yn36/Yn34)=(9227465/3524578)
(Nn35)1⅄∀Y2nd=(Yn37/Yn35)=(14930352/5702887)
(Nn36)1⅄∀Y2nd=(Yn38/Yn36)=(24157817/9227465)
(Nn37)1⅄∀Y2nd=(Yn39/Yn37)=(39088169/14930352)
(Nn38)1⅄∀Y2nd=(Yn40/Yn38)=(63245986/24157817)
(Nn39)1⅄∀Y2nd=(Yn41/Yn39)=(102334155/39088169)
(Nn40)1⅄∀Y2nd=(Yn42/Yn40)=(165780141/63245986)
(Nn41)1⅄∀Y2nd=(Yn43/Yn41)=(269114296/102334155)
(Nn42)1⅄∀Y2nd=(Yn44/Yn42)=(434894437/165780141)
(Nn43)1⅄∀Y2nd=(Yn45/Yn43)=(704008733/269114296)
(Nn44)1⅄∀Y2nd=(Yn46/Yn44)=(1138903170/434894437)
Then if 2⅄∀2nd=(n1/n3) then 2⅄∀Y2nd=(Yn1/Yn3) and where 0.333 is commonly occurring in estimations of rounded variables these quotients may be more suitable to precision of factoring more complex equations for correct answers.
(Nn1)2⅄∀Y2nd=(Yn1/Yn3)=(0/1)=0
(Nn2)2⅄∀Y2nd=(Yn2/Yn4)=(1/2)=0.5
(Nn3)2⅄∀Y2nd=(Yn3/Yn5)=(1/3)=0.^3 or 0.33 or 0.333 and so on. . .
(Nn4)2⅄∀Y2nd=(Yn4/Yn6)=(2/5)=0.4
(Nn5)2⅄∀Y2nd=(Yn5/Yn7)=(3/8)=0.375
(Nn6)2⅄∀Y2nd=(Yn6/Yn8)=(5/13)=0.^384615 or 0.384615
(Nn7)2⅄∀Y2nd=(Yn7/Yn9)=(8/21)=0.^380952380952 or 0.380952380952
(Nn8)2⅄∀Y2nd=(Yn8/Yn10)=(13/34)=0.3^8235294117647058 or 0.38235294117647058
(Nn9)2⅄∀Y2nd=(Yn9/Yn11)=(21/55)=0.3^81 or 0.381
(Nn10)2⅄∀Y2nd=(Yn10/Yn12)=(34/89)=0.^38202247191011235955056179775280898876404494 or 0.38202247191011235955056179775280898876404494
(Nn11)2⅄∀Y2nd=(Yn11/Yn13)=(55/144)=0.3819^4 or 0.38194
(Nn12)2⅄∀Y2nd=(Yn12/Yn14)=(89/233)=0.^3819742489270386266094420600858369098712446351931330472103004291845493562231759656652360515021459227467811158798283261802575107296137339055793991416309012875536480686695278969957081545064377682403433476394849785407725321888412017167
or
0.3819742489270386266094420600858369098712446351931330472103004291845493562231759656652360515021459227467811158798283261802575107296137339055793991416309012875536480686695278969957081545064377682403433476394849785407725321888412017167
(Nn13)2⅄∀Y2nd=(Yn13/Yn15)=(144/377)=0.^381962864721485411140583554376657824933687002652519893899204244031830238726790450928
or
0.381962864721485411140583554376657824933687002652519893899204244031830238726790450928
(Nn14)2⅄∀Y2nd=(Yn14/Yn16)=(233/610)=0.3^819672131147540983606557377049180327868852459016393442622950819672131147540983606557377049180327868852459016393442622950
or
0.3819672131147540983606557377049180327868852459016393442622950819672131147540983606557377049180327868852459016393442622950
(Nn15)2⅄∀Y2nd=(Yn15/Yn17)=(377/987)=0.^381965552178318135764944275582573454913880445795339412360688956433637284701114488348530901722391084093211752786220871327254305977710233029
or
0.381965552178318135764944275582573454913880445795339412360688956433637284701114488348530901722391084093211752786220871327254305977710233029
(Nn16)2⅄∀Y2nd=(Yn16/Yn18)=(610/1597)=0.^3819661865998747651847213525360050093926111458985597996242955541640576080150281778334376956793988728866624921728240450845335003130870
or
0.3819661865998747651847213525360050093926111458985597996242955541640576080150281778334376956793988728866624921728240450845335003130870
(Nn17)2⅄∀Y2nd=(Yn17/Yn19)=(987/2584)=0.381^965944272445820433436532507739938080495356037151702786377708978328173374613003095975232198142414860681114551083591331269349845201238390092879256
or
0.381965944272445820433436532507739938080495356037151702786377708978328173374613003095975232198142414860681114551083591331269349845201238390092879256
(Nn18)2⅄∀Y2nd=(Yn18/Yn20)=(1597/4181)=0.^381966036833293470461612054532408514709399665151877541258072231523558957187275771346567806744797895240373116479311169576656302320019134178426213824443912939488160727098780196125328868691700550107629753647452762497010284620904089930638603204974886390815594355417364266921789045682850992585505859842143027983735948337718249222674001435063
or
0.381966036833293470461612054532408514709399665151877541258072231523558957187275771346567806744797895240373116479311169576656302320019134178426213824443912939488160727098780196125328868691700550107629753647452762497010284620904089930638603204974886390815594355417364266921789045682850992585505859842143027983735948337718249222674001435063
(Nn19)2⅄∀Y2nd=(Yn19/Yn21)=(2584/6765)=0.3^8196600147 or 0.38196600147
(Nn20)2⅄∀Y2nd=(Yn20/Yn22)=(4181/10946)=0.3^819660149826420610268591266215969303855289603508130824045313356477251964187831171204092819294719532249223460624885803033071441622510506120957427370729033436871916681892928923807783665265850539009683902795541750411109080942810158962177964553261465375479627261099945185455874291978805042938059565137949936049698520007308605883427736159327608258724648273341860040197332358852548876301845422985565503380230221085327973689018
or
0.3819660149826420610268591266215969303855289603508130824045313356477251964187831171204092819294719532249223460624885803033071441622510506120957427370729033436871916681892928923807783665265850539009683902795541750411109080942810158962177964553261465375479627261099945185455874291978805042938059565137949936049698520007308605883427736159327608258724648273341860040197332358852548876301845422985565503380230221085327973689018
(Nn21)2⅄∀Y2nd=(Yn21/Yn23)=(6765/17711)=0.^381966009824402913443622607419118062221218451809609846987747727401050194794195697589068940206651233696572751397436621308791146744960758850431934955677262718084806052735588052622663881203771667325390999943537914290553893060809666309073457173507989385127886624131895432217266105809948619502004404042685336796341256846027892270340466376827960024843317712156287053243746824007678843656484670543729885
or
0.381966009824402913443622607419118062221218451809609846987747727401050194794195697589068940206651233696572751397436621308791146744960758850431934955677262718084806052735588052622663881203771667325390999943537914290553893060809666309073457173507989385127886624131895432217266105809948619502004404042685336796341256846027892270340466376827960024843317712156287053243746824007678843656484670543729885
(Nn22)2⅄∀Y2nd=(Yn22/Yn24)=(10946/28657)=0.^3819660117946749485291551802351955892103151062567610008025962243081969501343476288515894894790103639599399797606169522280769096555815333077433087901734305754265973409638133789301043375091600656035174651917507066336322713473147921973688802037896499982552255993300066301427225459748054576543252957392609135638761908085284572704749275918623721952751509229856579544264926544997731793279129008619185539309767247094950622884461039187633039048051086994451617405869421083853857696199881355340754440450849705133126286771120494120110269742122343580974979935094392295076246641309278710262763024740901001500505984576194298077258610461667306417280245664235614335066475904665526747391562270998359912063370206232334159193216317130195065777994905258750043619360016749834246431936350629863558641867606518477160903095229786788568238126810203440695118121226925358551139337683637505670516802177478452036151725581882262623442788847402030917402379872282513870956485326447290365355759500296611648113898872875737167184283072198764699724325644694141047562550162264019262309383396726803224343092438147747496248735038559514254806853473845831733956799385839410964162333810238336183131521094322504100219841574484419164602016959207174512335555012736853124890951599958125414383920159123425341103395330983703807097742261925533028579404682974491398262204696932686603622151655790906235823707994556303869909620686045294343441393027881494922706494050319293715322608786683881774086610601249258470879715252817810657082039292319503088250689185888264647381093624594339951844226541508182991939142268904630631259378162403601214362982866315385420665108001535401472589594165474404159542171197264193739749450396063788952088494957601982063719161112468157867187772621000104686464040199602191436647241511672540740482255644345186167428551488292563771504344488257668283490944620860522734410440730013609240325225948284886764141396517430296262693233764874201765711693478033290295564783473496876853822800711867955473357294901769201242279373277035279338381547265938514150120389433646229542520152144327738423421851554593990996964092542834211536448337229996161496318526014586313989601144572006839515650626374009840527619778762605995044840702097218829605332030568447499738283839899500994521408381896220818648148794360889137034581428621279268590571239138779355829291272638447848693163973898174965976899186935129287783089646508706424259343266915587814495585720766304916774261088041316257807865442998220330111316606762745576996894301566807411801654046131835153714624699026415884426143699619639180653941445371113515022507589768642914471158879156925009596259203684963534215025997138569982901210873434064975398680950553093485012387898244756952925986669923578881250654290400251247513696479045259447953379628014097777157413546428446801828523571902153051610426771818403880378267090065254562585057752032662176780542275883728233939351641832711030463761035698084237708064347279896709355480336392504449174721708483093136057507764246082981470495864884670412115713438252433960288934640750950902048365146386572216212443731025578392713822102802107687476009351990787591164462435007153575042746972816414837561503297623617266287469030254388107617685033325191052796873364273999371881215758802386851380116550929964755557106466133928882995428691070244617370973933070453990299054332274836863593537355619918344558048644310290679415151620895418222423840597410754789405729839131800258226611299159018738877063195728792267159856230589384792546323760337788323969710716404368915099277663398122622744879087134033569459468890672436054018215444742994730781309976620023031022088843912482116062393132567958962906096241755940956834281327424364029730955787416687022368007816589315001570296960602994032871549708622675088111107233834665177792511428272324388456572565167323865024252364169312907841016156610950204138604878389224273301462120947761454443940398506473113026485675402170499354433471752102453152807342010678019332100359423526538018634190599155529190075723208989077712251805841504693443137802282164916076351327773318909864954461388142513173046725058449942422444777890218794709844017168580102592734759395610147607914296681439089925672610531458282444079980458526712496074257598492514917821125728443312279722231915413337055518721429319189028858568587081690337439369089576717730397459608472624489653487804026939316746344697630596363890149003733817217433785811494573751613916320619743867117981644973304951669749101441183654953414523502111177024810691977527305719370485396238266392155494294587709809121680566702725337613846529643717067383187353875143943888055274453013225389957078549743518163101510974630980214258296402275185818473671354293889800048853683218759814356003768712705447185678891719300694420211466657361203196426702027427853578532295774156401577276058205674006350978818438775866280489932651708134138255923509090274627490665456956415535471263565620965209198450640332205045887566737620825627246397040862616463691244722057437973270056181735701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or
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(Nn23)2⅄∀Y2nd=(Yn23/Yn25)=(17711/46368)
(Nn24)2⅄∀Y2nd=(Yn24/Yn26)=(28657/75025)
(Nn25)2⅄∀Y2nd=(Yn25/Yn27)=(46368/121393)
(Nn26)2⅄∀Y2nd=(Yn26/Yn28)=(75025/196418)
(Nn27)2⅄∀Y2nd=(Yn27/Yn29)=(121393/317811)
(Nn28)2⅄∀Y2nd=(Yn28/Yn30)=(196418/514229)
(Nn29)2⅄∀Y2nd=(Yn29/Yn31)=(317811/832040)
(Nn30)2⅄∀Y2nd=(Yn30/Yn32)=(514229/1346296)
(Nn31)2⅄∀Y2nd=(Yn31/Yn33)=(832040/2178309)
(Nn32)2⅄∀Y2nd=(Yn32/Yn34)=(1346269/3524578)
(Nn33)2⅄∀Y2nd=(Yn33/Yn35)=(2178309/5702887)
(Nn34)2⅄∀Y2nd=(Yn34/Yn36)=(3524578/9227465)
(Nn35)2⅄∀Y2nd=(Yn35/Yn37)=(5702887/14930352)
(Nn36)2⅄∀Y2nd=(Yn36/Yn38)=(9227465/24157817)
(Nn37)2⅄∀Y2nd=(Yn37/Yn39)=(14930352/39088169)
(Nn38)2⅄∀Y2nd=(Yn38/Yn40)=(24157817/63245986)
(Nn39)2⅄∀Y2nd=(Yn39/Yn41)=(39088169/102334155)
(Nn40)2⅄∀Y2nd=(Yn40/Yn42)=(63245986/165780141)
(Nn41)2⅄∀Y2nd=(Yn41/Yn43)=(102334155/269114296)
(Nn42)2⅄∀Y2nd=(Yn42/Yn44)=(165780141/434894437)
(Nn43)2⅄∀Y2nd=(Yn43/Yn45)=(269114296/704008733)
(Nn44)2⅄∀Y2nd=(Yn44/Yn46)=(434894437/1138903170)
if 1⅄∀2nd=(n3/n1) of (Nn) then
(Nn1)1⅄∀Y2nd=(Yn3/Yn1)=0 and so on for (Nn) of ∈1⅄∀Y2nd and vary in quotient to the cn defined as (Nncn) of ∈1⅄∀Y2nd
(Nn1)1⅄∀Y3rd=(Yn4/Yn1)=0 and so on for (Nn) of ∈1⅄∀Y3rd and vary in quotient to the cn defined as (Nncn) of ∈1⅄∀Y3rd
(Nn1)1⅄∀Y4th=(Yn5/Yn1)=0 and so on for (Nn) of ∈1⅄∀Y4th and vary in quotient to the cn defined as (Nncn) of ∈1⅄∀Y4th
(Nn1)1⅄∀Y5th=(Yn6/Yn1)=0 and so on for (Nn) of ∈1⅄∀Y5th and vary in quotient to the cn defined as (Nncn) of ∈1⅄∀Y5th
(Nn1)1⅄∀Y6th=(Yn7/Yn1)=0 and so on for (Nn) of ∈1⅄∀Y6th and vary in quotient to the cn defined as (Nncn) of ∈1⅄∀Y6th
(Nn1)1⅄∀Y7th=(Yn8/Yn1)=0 and so on for (Nn) of ∈1⅄∀Y7th and vary in quotient to the cn defined as (Nncn) of ∈1⅄∀Y7th
(Nn1)1⅄∀Y8th=(Yn9/Yn1)=0 and so on for (Nn) of ∈1⅄∀Y8th and vary in quotient to the cn defined as (Nncn) of ∈1⅄∀Y8th
(Nn1)1⅄∀Y9th=(Yn10/Yn1)=0 and so on for (Nn) of ∈1⅄∀Y9th and vary in quotient to the cn defined as (Nncn) of ∈1⅄∀Y9th
(Nn1)1⅄∀Y10th=(Yn11/Yn1)=0 and so on for (Nn) of ∈1⅄∀Y10th and vary in quotient to the cn defined as (Nncn) of ∈1⅄∀Y10th
and so on to the Nth number or quotient of path function (Nncn)1⅄∀Ynth scale division
if 2⅄∀2nd=(n1/n3) of (Nn) then
(Nn1)2⅄∀Y2nd=(Yn1/Yn3)=0 and so on for (Nn) of ∈2⅄∀Y2nd and vary in quotient to the cn defined as (Nncn) of ∈2⅄∀Y2nd
(Nn1)2⅄∀Y3rd=(Yn1/Yn4)=0 and so on for (Nn) of ∈2⅄∀Y3rd and vary in quotient to the cn defined as (Nncn) of ∈2⅄∀Y3rd
(Nn1)2⅄∀Y4th=(Yn1/Yn5)=0 and so on for (Nn) of ∈2⅄∀Y4th and vary in quotient to the cn defined as (Nncn) of ∈2⅄∀Y4th
(Nn1)2⅄∀Y5th=(Yn1/Yn6)=0 and so on for (Nn) of ∈2⅄∀Y5th and vary in quotient to the cn defined as (Nncn) of ∈2⅄∀Y5th
(Nn1)2⅄∀Y6th=(Yn1/Yn7)=0 and so on for (Nn) of ∈2⅄∀Y6th and vary in quotient to the cn defined as (Nncn) of ∈2⅄∀Y6th
(Nn1)2⅄∀Y7th=(Yn1/Yn8)=0 and so on for (Nn) of ∈2⅄∀Y7th and vary in quotient to the cn defined as (Nncn) of ∈2⅄∀Y7th
(Nn1)2⅄∀Y8th=(Yn1/Yn9)=0 and so on for (Nn) of ∈2⅄∀Y8th and vary in quotient to the cn defined as (Nncn) of ∈2⅄∀Y8th
(Nn1)2⅄∀Y9th=(Yn1/Yn10)=0 and so on for (Nn) of ∈2⅄∀Y9th and vary in quotient to the cn defined as (Nncn) of ∈2⅄∀Y9th
(Nn1)2⅄∀Y10th=(Yn1/Yn11)=0 and so on for (Nn) of ∈2⅄∀Y10th and vary in quotient to the cn defined as (Nncn) of ∈2⅄∀Y10th
and so on to the Nth number or quotient of path function (Nncn)2⅄∀Ynth scale division
These are 10 base example sets of path 1⅄∀Y and path 2⅄∀Y variables that continue to Ynnn and these sets rooted from Y base factors and paths differ from variables factored in sets ∈1⅄φ and ∈2⅄Θ from Y base variables.
Path 1⅄∀Nncn and path 2⅄∀Nncn have quantum field fractal polarization math notation practical application with variables from sets ∈A ∈B ∈D ∈E ∈F ∈G ∈H ∈I ∈J ∈K ∈L ∈M ∈N ∈O ∈P ∈Q ∈R ∈S ∈T ∈U ∈V ∈W ∈Z ∈φ ∈Θ just as Path 1⅄∀Nncn and path 2⅄∀Nncn were applied with Y base factors.
∈N set is numbers that are not same numeral values within sets ∈A ∈B ∈D ∈E ∈F ∈G ∈H ∈I ∈J ∈K ∈L ∈M ∈O ∈P ∈Q ∈R ∈S ∈T ∈U ∈V ∈W ∈Z ∈φ ∈Θ and are numbers definable as real numbers.
Now complex equation variable sets ∈ᐱ and ∈ᗑ can be formulated and answered with a combination of path 1⅄∀Y and path 2⅄∀Y variables with sets A B D E F G H I J K L M N O P Q R S T U V W Y Z φ Θ with path functions of ⅄ncn ⅄X 1⅄ 2⅄ 3⅄ncn +⅄ 1-⅄ 2-⅄ to specific notated cycles in decimal stem cn of any known Nncn
This is non-theoretical math. These are numeral values of number structure constants applicable as scale unit measures in real math and a standard unit measure base is itself within the logic of numbers and the relation among their values with one another.
if 1⅄∀2nd=(n3/n1) of (Nn) then
(Nn1)1⅄∀Y2nd=(Yn3/Yn1)=0 and so on for (Nn) of ∈1⅄∀Y2nd and vary in quotient to the cn defined as (Nncn) of ∈1⅄∀Y2nd
(Nn1)1⅄∀Y3rd=(Yn4/Yn1)=0 and so on for (Nn) of ∈1⅄∀Y3rd and vary in quotient to the cn defined as (Nncn) of ∈1⅄∀Y3rd
so
(Nn1)1⅄∀Y3rd=(Yn4/Yn1)=(2/0)=0
(Nn2)1⅄∀Y3rd=(Yn5/Yn2)=(3/1)=3
(Nn3)1⅄∀Y3rd=(Yn6/Yn3)=(5/1)=5
(Nn4)1⅄∀Y3rd=(Yn7/Yn4)=(8/2)=4
(Nn5)1⅄∀Y3rd=(Yn8/Yn5)=(13/3)=4.^3 or 4.3
(Nn6)1⅄∀Y3rd=(Yn9/Yn6)=(21/5)=4.2
(Nn7)1⅄∀Y3rd=(Yn10/Yn7)=(34/8)=4.25
(Nn8)1⅄∀Y3rd=(Yn11/Yn8)=(55/13)=4.^230769 or 4.230769
(Nn8)1⅄∀Y3rd=(Yn12/Yn9)=(89/21)=4.^238095 or 4.238095
(Nn9)1⅄∀Y3rd=(Yn13/Yn10)=(144/34)=4.^2352941176470588 or 4.2352941176470588
(Nn10)1⅄∀Y3rd=(Yn14/Yn11)=(233/55)=4.2^36 or 4.236
(Nn11)1⅄∀Y3rd=(Yn15/Yn12)=(377/89)=4.^23595505617977528089887640449438202247191011 or 4.23595505617977528089887640449438202247191011
(Nn12)1⅄∀Y3rd=(Yn16/Yn13)=(610/144)=4.236^1 or 4.2361
(Nn13)1⅄∀Y3rd=(Yn17/Yn14)=(987/233)=4.^2360515021459227467811158798283261802575107296137339055793991416309012875536480686695278969957081545064377682403433476394849785407725321888412017167381974248927038626609442060085836909871244635193133047210300429184549356223175965665
or
4.2360515021459227467811158798283261802575107296137339055793991416309012875536480686695278969957081545064377682403433476394849785407725321888412017167381974248927038626609442060085836909871244635193133047210300429184549356223175965665
(Nn14)1⅄∀Y3rd=(Yn18/Yn15)=(1597/377)=4.^236074270557029177718832891246684350132625994694960212201591511936339522546419098143
or
4.236074270557029177718832891246684350132625994694960212201591511936339522546419098143
(Nn15)1⅄∀Y3rd=(Yn19/Yn16)=(2584/610)=4.2^360655737704918032786885245901639344262295081967213114754098
or
4.2360655737704918032786885245901639344262295081967213114754098
(Nn16)1⅄∀Y3rd=(Yn20/Yn17)=(4181/987)=4.^236068895643363728470111448834853090172239108409321175278622087132725430597771023302938196555217831813576494427558257345491388044579533941
or
4.236068895643363728470111448834853090172239108409321175278622087132725430597771023302938196555217831813576494427558257345491388044579533941
(Nn17)1⅄∀Y3rd=(Yn21/Yn18)=(6765/1597)=4.^2360676268002504696305572949279899812147777082028804007514088916718847839699436443331246086412022542266750156543519098309329993738259
or
4.2360676268002504696305572949279899812147777082028804007514088916718847839699436443331246086412022542266750156543519098309329993738259
(Nn18)1⅄∀Y3rd=(Yn22/Yn19)=(10946/2584)=4.23^606811145510835913312693498452012383900928792569659442724458204334365325077399380804953560371517027863777089783281733746130030959752321981424148
or
4.23606811145510835913312693498452012383900928792569659442724458204334365325077399380804953560371517027863777089783281733746130030959752321981424148
(Nn19)1⅄∀Y3rd=(Yn23/Yn20)=(17711/4181)=4.^236067926333413059076775890935182970581200669696244917483855536952882085625448457306864386510404209519253767041377660846687395359961731643147572351112174121023678545802439607749342262616598899784740492705094475005979430758191820138722793590050227218368811289165271466156421908634298014828988280315713944032528103324563501554651997129873
or
4.236067926333413059076775890935182970581200669696244917483855536952882085625448457306864386510404209519253767041377660846687395359961731643147572351112174121023678545802439607749342262616598899784740492705094475005979430758191820138722793590050227218368811289165271466156421908634298014828988280315713944032528103324563501554651997129873
(Nn20)1⅄∀Y3rd=(Yn24/Yn21)=(28657/6765)=4.2^3606799704 or 4.23606799704
(Nn21)1⅄∀Y3rd=(Yn25/Yn22)=(46368/10946)=4.^236067970034715877946281746756806139228942079298373835190937328704549607162433765759181436141056093550155307875022839393385711675497898775808514525854193312625616663621414215238443266946829892198063219440891649917778183811437968207564407089347706924904074547780010962908825141604238991412388086972410012790060295998538278823314452768134478348255070345331627991960533528229490224739630915402886899323953955782934405262196
or
4.236067970034715877946281746756806139228942079298373835190937328704549607162433765759181436141056093550155307875022839393385711675497898775808514525854193312625616663621414215238443266946829892198063219440891649917778183811437968207564407089347706924904074547780010962908825141604238991412388086972410012790060295998538278823314452768134478348255070345331627991960533528229490224739630915402886899323953955782934405262196
(Nn22)1⅄∀Y3rd=(Yn26/Yn23)=(75025/17711)=4.^236067980351194173112754785161763875557563096380780306024504545197899610411608604821862119586697532606854497205126757382417706510078482299136130088645474563830387894528823894754672237592456665349218000112924171418892213878380667381853085652984021229744226751736209135565467788380102760995991191914629326407317486307944215459319067246344079950313364575687425893512506351984642312687030658912540229
or
4.236067980351194173112754785161763875557563096380780306024504545197899610411608604821862119586697532606854497205126757382417706510078482299136130088645474563830387894528823894754672237592456665349218000112924171418892213878380667381853085652984021229744226751736209135565467788380102760995991191914629326407317486307944215459319067246344079950313364575687425893512506351984642312687030658912540229
(Nn23)1⅄∀Y3rd=(Yn27/Yn24)=(121393/28657)
(Nn24)1⅄∀Y3rd=(Yn28/Yn25)=(196418/46368)
(Nn25)1⅄∀Y3rd=(Yn29/Yn26)=(317811/75025)
(Nn26)1⅄∀Y3rd=(Yn30/Yn27)=(514229/121393)
(Nn27)1⅄∀Y3rd=(Yn31/Yn28)=(832040/196418)
(Nn28)1⅄∀Y3rd=(Yn32/Yn29)=(1346296/317811)
(Nn29)1⅄∀Y3rd=(Yn33/Yn30)=(2178309/514229)
(Nn30)1⅄∀Y3rd=(Yn34/Yn31)=(3524578/832040)
(Nn31)1⅄∀Y3rd=(Yn35/Yn32)=(5702887/1346296)
(Nn32)1⅄∀Y3rd=(Yn36/Yn33)=(9227465/2178309)
(Nn33)1⅄∀Y3rd=(Yn37/Yn34)=(14930352/3524578)
(Nn34)1⅄∀Y3rd=(Yn38/Yn35)=(24157817/5702887)
(Nn35)1⅄∀Y3rd=(Yn39/Yn36)=(39088169/9227465)
(Nn36)1⅄∀Y3rd=(Yn40/Yn37)=(63245986/14930352)
(Nn37)1⅄∀Y3rd=(Yn41/Yn38)=(102334155/24157817)
(Nn38)1⅄∀Y3rd=(Yn42/Yn39)=(165780141/39088169)
(Nn39)1⅄∀Y3rd=(Yn43/Yn40)=(269114296/63245986)
(Nn40)1⅄∀Y3rd=(Yn44/Yn41)=(434894437/102334155)
(Nn41)1⅄∀Y3rd=(Yn45/Yn42)=( 704008733/165780141)
(Nn42)1⅄∀Y3rd=(Yn46/Yn43)=(1138903170/269114296)
Examples of 10 digit Y base for (Nncn) of ∈1⅄∀Y3rd
if 2⅄∀2nd=(n1/n3) of (Nn) then
(Nn1)2⅄∀Y2nd=(Yn1/Yn3)=0 and so on for (Nn) of ∈2⅄∀Y2nd and vary in quotient to the cn defined as (Nncn) of ∈2⅄∀Y2nd
(Nn1)2⅄∀Y3rd=(Yn1/Yn4)=0 and so on for (Nn) of ∈2⅄∀Y3rd and vary in quotient to the cn defined as (Nncn) of ∈2⅄∀Y3rd
so
(Nn1)2⅄∀Y3rd=(Yn1/Yn4)=(0/2)=0
(Nn2)2⅄∀Y3rd=(Yn2/Yn5)=(1/3)=0.^3 or 0.3
(Nn3)2⅄∀Y3rd=(Yn3/Yn6)=(1/5)=0.2
(Nn4)2⅄∀Y3rd=(Yn4/Yn7)=(2/8)=0.25
(Nn5)2⅄∀Y3rd=(Yn5/Yn8)=(3/13)=0.^230769 or 0.230769
(Nn6)2⅄∀Y3rd=(Yn6/Yn9)=(5/21)=0.^238095 or 0.238095
(Nn7)2⅄∀Y3rd=(Yn7/Yn10)=(8/34)=0.^2352941176470588 or 0.2352941176470588
(Nn8)2⅄∀Y3rd=(Yn8/Yn11)=(13/55)=0.2^36 or 0.236
(Nn9)2⅄∀Y3rd=(Yn9/Yn12)=(21/89)=0.^23595505617977528089887640449438202247191011 or 0.23595505617977528089887640449438202247191011
(Nn10)2⅄∀Y3rd=(Yn10/Yn13)=(34/144)=0.236^1 or 0.2361
(Nn11)2⅄∀Y3rd=(Yn11/Yn14)=(55/233)=0.^2360515021459227467811158798283261802575107296137339055793991416309012875536480686695278969957081545064377682403433476394849785407725321888412017167381974248927038626609442060085836909871244635193133047210300429184549356223175965665
or
0.2360515021459227467811158798283261802575107296137339055793991416309012875536480686695278969957081545064377682403433476394849785407725321888412017167381974248927038626609442060085836909871244635193133047210300429184549356223175965665
(Nn12)2⅄∀Y3rd=(Yn12/Yn15)=(89/377)=0.^236074270557029177718832891246684350132625994694960212201591511936339522546419098143
or
0.236074270557029177718832891246684350132625994694960212201591511936339522546419098143
(Nn13)2⅄∀Y3rd=(Yn13/Yn16)=(144/610)=0.2^360655737704918032786885245901639344262295081967213114754098
or
0.2360655737704918032786885245901639344262295081967213114754098
(Nn14)2⅄∀Y3rd=(Yn14/Yn17)=(233/987)=0.^236068895643363728470111448834853090172239108409321175278622087132725430597771023302938196555217831813576494427558257345491388044579533941
or
0.236068895643363728470111448834853090172239108409321175278622087132725430597771023302938196555217831813576494427558257345491388044579533941
(Nn15)2⅄∀Y3rd=(Yn15/Yn18)=(377/1597)=0.^2360676268002504696305572949279899812147777082028804007514088916718847839699436443331246086412022542266750156543519098309329993738259
or
0.2360676268002504696305572949279899812147777082028804007514088916718847839699436443331246086412022542266750156543519098309329993738259
(Nn16)2⅄∀Y3rd=(Yn16/Yn19)=(610/2584)=0.23^606811145510835913312693498452012383900928792569659442724458204334365325077399380804953560371517027863777089783281733746130030959752321981424148
or
0.23^606811145510835913312693498452012383900928792569659442724458204334365325077399380804953560371517027863777089783281733746130030959752321981424148
(Nn17)2⅄∀Y3rd=(Yn17/Yn20)=(987/4181)=0.^2360679263334130590767758909351829705812006696962449174838555369528820856254484573068643865104042095192537670413776608466873953599617316431475723511121741210236785458024396077493422626165988997847404927050944750059794307581918201387227935900502272183688112891652714661564219086342980148289882803157139440325281033245635015546519971298732
or
0.2360679263334130590767758909351829705812006696962449174838555369528820856254484573068643865104042095192537670413776608466873953599617316431475723511121741210236785458024396077493422626165988997847404927050944750059794307581918201387227935900502272183688112891652714661564219086342980148289882803157139440325281033245635015546519971298732
(Nn18)2⅄∀Y3rd=(Yn18/Yn21)=(1597/6765)=0.2^3606799704 or 0.23606799704
(Nn19)2⅄∀Y3rd=(Yn19/Yn22)=(2584/10946)=0.^236067970034715877946281746756806139228942079298373835190937328704549607162433765759181436141056093550155307875022839393385711675497898775808514525854193312625616663621414215238443266946829892198063219440891649917778183811437968207564407089347706924904074547780010962908825141604238991412388086972410012790060295998538278823314452768134478348255070345331627991960533528229490224739630915402886899323953955782934405262196
or
0.236067970034715877946281746756806139228942079298373835190937328704549607162433765759181436141056093550155307875022839393385711675497898775808514525854193312625616663621414215238443266946829892198063219440891649917778183811437968207564407089347706924904074547780010962908825141604238991412388086972410012790060295998538278823314452768134478348255070345331627991960533528229490224739630915402886899323953955782934405262196
(Nn20)2⅄∀Y3rd=(Yn20/Yn23)=(4181/17711)=0.^236067980351194173112754785161763875557563096380780306024504545197899610411608604821862119586697532606854497205126757382417706510078482299136130088645474563830387894528823894754672237592456665349218000112924171418892213878380667381853085652984021229744226751736209135565467788380102760995991191914629326407317486307944215459319067246344079950313364575687425893512506351984642312687030658912540229
or
0.236067980351194173112754785161763875557563096380780306024504545197899610411608604821862119586697532606854497205126757382417706510078482299136130088645474563830387894528823894754672237592456665349218000112924171418892213878380667381853085652984021229744226751736209135565467788380102760995991191914629326407317486307944215459319067246344079950313364575687425893512506351984642312687030658912540229
(Nn21)2⅄∀Y3rd=(Yn21/Yn24)=(6765/28657)
(Nn22)2⅄∀Y3rd=(Yn22/Yn25)=(10946/46368)
(Nn23)2⅄∀Y3rd=(Yn23/Yn26)=(17711/75025)
(Nn24)2⅄∀Y3rd=(Yn24/Yn27)=(28657/121393)
(Nn25)2⅄∀Y3rd=(Yn25/Yn28)=(46368/196418)
(Nn26)2⅄∀Y3rd=(Yn26/Yn29)=(75025/317811)
(Nn27)2⅄∀Y3rd=(Yn27/Yn30)=(121393/514229)
(Nn28)2⅄∀Y3rd=(Yn28/Yn31)=(196418/832040)
(Nn29)2⅄∀Y3rd=(Yn29/Yn32)=(317811/1346296)
(Nn30)2⅄∀Y3rd=(Yn30/Yn33)=(514229/2178309)
(Nn31)2⅄∀Y3rd=(Yn31/Yn34)=(832040/3524578)
(Nn32)2⅄∀Y3rd=(Yn32/Yn35)=(1346296/5702887)
(Nn33)2⅄∀Y3rd=(Yn33/Yn36)=(2178309/9227465)
(Nn34)2⅄∀Y3rd=(Yn34/Yn37)=(3524578/14930352)
(Nn35)2⅄∀Y3rd=(Yn35/Yn38)=(5702887/24157817)
(Nn36)2⅄∀Y3rd=(Yn36/Yn39)=(9227465/39088169)
(Nn37)2⅄∀Y3rd=(Yn37/Yn40)=(14930352/63245986)
(Nn38)2⅄∀Y3rd=(Yn38/Yn41)=(24157817/102334155)
(Nn39)2⅄∀Y3rd=(Yn39/Yn42)=(39088169/165780141)
(Nn40)2⅄∀Y3rd=(Yn40/Yn43)=(63245986/269114296)
(Nn41)2⅄∀Y3rd=(Yn41/Yn44)=(102334155/434894437)
(Nn42)2⅄∀Y3rd=(Yn42/Yn45)=(165780141/704008733)
(Nn43)2⅄∀Y3rd=(Yn43/Yn46)=(269114296/1138903170)
Examples of 10 digit Y base for (Nncn) of ∈2⅄∀Y3rd
Crossed Paths of for all for any (Nncn) of ∈⅄∀ functions examples
if
A=∈1⅄(φ/Q)cn and path ⅄ of Q is a variant in the definition of A
M=∈2⅄(φ/Q)cn and path ⅄ of Q is a variant in the definition of M
V= ∈1⅄(Q/φ)cn and path ⅄ of Q is a variant in the definition of V
W=∈2⅄(Q/φ)cn and path ⅄ of Q is a variant in the definition of W
E=∈1⅄(Θ/Q)cn and path ⅄ of Q is a variant in the definition of E
F=∈2⅄(Θ/Q)cn and path ⅄ of Q is a variant in the definition of F
I= ∈1⅄(Q/Θ)cn and path ⅄ of Q is a variant in the definition of I
H=∈2⅄(Q/Θ)cn and path ⅄ of Q is a variant in the definition of H
D=∈1⅄(φ/Θ)cn
B=∈2⅄(φ/Θ)cn
O=∈1⅄(Θ/φ)cn
G=∈2⅄(Θ/φ)cn
L=∈1⅄(1⅄Qn2/2⅄Qn1)cn
K=∈2⅄(1⅄Qn1/2⅄Qn2)cn
U=∈1⅄(2⅄Qn2/1⅄Qn1)cn
J=∈2⅄(2⅄Qn1/1⅄Qn2)cn
then function paths for all for any (Nncn) of ∈⅄∀ is applicable to both the variable factors of A M V W E F I H D B O G L K U J sets variables.
(Nncn) of ∈1⅄∀(φ/Q)cn
(Nncn) of ∈2⅄∀(φ/Q)cn
(Nncn) of ∈1⅄∀(Ancn/Ancn)
(Nncn) of ∈2⅄∀(Ancn/Ancn)
and given that Set A has decimal stem looping variables of cn more complexly that Y base variables do not have
(Nncn) of ∈3⅄∀(φ/Q)cn
(Nncn) of ∈3⅄∀(Ancn/Ancn)
With these equations the definition of cn is critical to an effective use of this math and the quotient correct answer.
As (Nncn) of ∈⅄∀ is applicable to both the variable factors of A it then too is applicable to M V W E F I H D B O G L K U J sets variables in the same respect.
Prime consecutive step tier base rationals of 2:199 of the 10 digit prime 1,000,000,007
1st tier 46 primes example 10 tiers to 9 divisions of primes with primes (p) or (P) P→Q→∈2⅄Q ∈1⅄Q
∈3⅄Q does not exist where numbers of p have no decimals path variant of cn
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199
After factoring quotients for sets ∈1⅄Q and ∈2⅄Q from ordinal prime P base then
if 1⅄∀2nd=(n3/n1) of (Nn) then
(Nn1)1⅄∀P2nd=(Pn3/Pn1)=(5/2)=2.5
(Nn2)1⅄∀P2nd=(Pn4/Pn2)=(7/3)=2.^3 or 2.3
(Nn3)1⅄∀P2nd=(Pn5/Pn3)=(11/5)=2.2
(Nn4)1⅄∀P2nd=(Pn6/Pn4)=(13/7)=1.^857142 or 1.857142
(Nn5)1⅄∀P2nd=(Pn7/Pn5)=(17/11)=1.^54 or 1.54
(Nn6)1⅄∀P2nd=(Pn8/Pn6)=(19/13)=1.^461538 or 1.461538
(Nn7)1⅄∀P2nd=(Pn9/Pn7)=(23/17)=1.^3529411764705882 or 1.3529411764705882
(Nn8)1⅄∀P2nd=(Pn10/Pn8)=(29/19)=1.^526315789473684210 or 1.526315789473684210
(Nn9)1⅄∀P2nd=(Pn11/Pn9)=(31/23)=1.^3478260869565217391304 or 1.3478260869565217391304
(Nn10)1⅄∀P2nd=(Pn12/Pn10)=(37/29)=1.^2758620689655172413793103448 or 1.2758620689655172413793103448
(Nn11)1⅄∀P2nd=(Pn13/Pn11)=(41/31)=1.^322580645161290 or 1.322580645161290
(Nn12)1⅄∀P2nd=(Pn14/Pn12)=(43/37)=1.^162 or 1.162
(Nn13)1⅄∀P2nd=(Pn15/Pn13)=(47/41)=1.^14634 or 1.14634
(Nn14)1⅄∀P2nd=(Pn16/Pn14)=(53/43)=1.^232558139534883720930 or 1.232558139534883720930
(Nn15)1⅄∀P2nd=(Pn17/Pn15)=(59/47)=1.^2553191489361702127659574468085106382978723404 or 1.2553191489361702127659574468085106382978723404
(Nn16)1⅄∀P2nd=(Pn18/Pn16)=(61/53)=1.^1509433962264 or 1.1509433962264
(Nn17)1⅄∀P2nd=(Pn19/Pn17)=(67/59)=1.^1355932203389830508474576271186440677966101694915254237288 or 1.1355932203389830508474576271186440677966101694915254237288
(Nn18)1⅄∀P2nd=(Pn20/Pn18)=(71/61)=1.^163934426229508196721311475409836065573770491803278688524590 or 1.163934426229508196721311475409836065573770491803278688524590
(Nn19)1⅄∀P2nd=(Pn21/Pn19)=(73/67)=1.^089552238805970149253731343283582 or 1.089552238805970149253731343283582
(Nn20)1⅄∀P2nd=(Pn22/Pn20)=(79/71)=1.^11267605633802816901408450704225352 or 1.11267605633802816901408450704225352
(Nn21)1⅄∀P2nd=(Pn23/Pn21)=(83/73)=1.^13698630 or 1.13698630
(Nn22)1⅄∀P2nd=(Pn24/Pn22)=(89/79)=1.^1265822784810 or 1.1265822784810
(Nn23)1⅄∀P2nd=(Pn25/Pn23)=(97/83)=1.^16867469879518072289156626506024096385542 or 1.16867469879518072289156626506024096385542
(Nn24)1⅄∀P2nd=(Pn26/Pn24)=(101/89)=1.^13483146067415730337078651685393258426966292 or 1.13483146067415730337078651685393258426966292
(Nn25)1⅄∀P2nd=(Pn27/Pn25)=(103/97)=1.^061855670103092783505154639175257731958762886597938144329896907216494845360824742268041237113402 or 1.061855670103092783505154639175257731958762886597938144329896907216494845360824742268041237113402
(Nn26)1⅄∀P2nd=(Pn28/Pn26)=(107/101)=1.^0594 or 1.0594
(Nn27)1⅄∀P2nd=(Pn29/Pn27)=(109/103)=1.^0582524271844660194174757281553398 or 1.0582524271844660194174757281553398
(Nn28)1⅄∀P2nd=(Pn30/Pn28)=(113/107)=1.^05607476635514018691588785046728971962616822429906542 or 1.05607476635514018691588785046728971962616822429906542
(Nn29)1⅄∀P2nd=(Pn31/Pn29)=(127/109)=1.^165137614678899082568807339449541284403669724770642201834862385321100917431192660550458715596330275229357798
or
1.165137614678899082568807339449541284403669724770642201834862385321100917431192660550458715596330275229357798
(Nn30)1⅄∀P2nd=(Pn32/Pn30)=(131/113)=1.^1592920353982300884955752212389380530973451327433628318584070796460176991150442477876106194690265486725663716814
or
1.1592920353982300884955752212389380530973451327433628318584070796460176991150442477876106194690265486725663716814
(Nn31)1⅄∀P2nd=(Pn33/Pn31)=(137/127)=1.^078740157480314960629921259842519685039370 or 1.078740157480314960629921259842519685039370
(Nn32)1⅄∀P2nd=(Pn34/Pn32)=(139/131)=1.^0610687022900763358778625954198473282442748091603053435114503816793893129770992366412213740458015267175572519083969465648854961832
or
1.0610687022900763358778625954198473282442748091603053435114503816793893129770992366412213740458015267175572519083969465648854961832
(Nn33)1⅄∀P2nd=(Pn35/Pn33)=(149/137)=1.^08759124 or 1.08759124
(Nn34)1⅄∀P2nd=(Pn36/Pn34)=(151/139)=1.^0863309352517985611510791366906474820143884892 or 1.0863309352517985611510791366906474820143884892
(Nn35)1⅄∀P2nd=(Pn37/Pn35)=(157/149)=1.^0536912751677852348993288590604026845637583892617449664429530201342281879194630872483221476510067114093959731543624161073825503355704697986577181208
or
1.0536912751677852348993288590604026845637583892617449664429530201342281879194630872483221476510067114093959731543624161073825503355704697986577181208
(Nn36)1⅄∀P2nd=(Pn38/Pn36)=(163/151)=1.^079470198675496688741721854304635761589403973509933774834437086092715231788
or
1.079470198675496688741721854304635761589403973509933774834437086092715231788
(Nn37)1⅄∀P2nd=(Pn39/Pn37)=(167/157)=1.^063694267515923566878980891719745222929936305732484076433121019108280254777070
or
1.063694267515923566878980891719745222929936305732484076433121019108280254777070
(Nn38)1⅄∀P2nd=(Pn40/Pn38)=(173/163)=1.^061349693251533742331288343558282208588957055214723926380368098159509202453987730
or
1.061349693251533742331288343558282208588957055214723926380368098159509202453987730
(Nn39)1⅄∀P2nd=(Pn41/Pn39)=(179/167)=1.^0718562874251497005988023952095808383233532934131736526946107784431137724550898203592814371257485029940119760479041916167664670658682634730538922155688622754491017964
or
1.0718562874251497005988023952095808383233532934131736526946107784431137724550898203592814371257485029940119760479041916167664670658682634730538922155688622754491017964
(Nn40)1⅄∀P2nd=(Pn42/Pn40)=(181/173)=1.^0462427745664739884393063583815028901734104
or
1.0462427745664739884393063583815028901734104
(Nn41)1⅄∀P2nd=(Pn43/Pn41)=(191/179)=1.^0670391061452513966480446927374301675977653631284916201117318435754189944134078212290502793296089385474860335195530726256983240223463687150837988826815642458100558659217877094972
or
1.0670391061452513966480446927374301675977653631284916201117318435754189944134078212290502793296089385474860335195530726256983240223463687150837988826815642458100558659217877094972
(Nn42)1⅄∀P2nd=(Pn44/Pn42)=(193/181)=1.^066298342541436464088397790055248618784530386740331491712707182320441988950276243093922651933701657458563535911602209944751381215469613259668508287292817679558011049723756906077348
or
1.066298342541436464088397790055248618784530386740331491712707182320441988950276243093922651933701657458563535911602209944751381215469613259668508287292817679558011049723756906077348
(Nn43)1⅄∀P2nd=(Pn45/Pn43)=(197/191)=1.^03141361256544502617801047120418848167539267015706806282722513089005235602094240837696335078534
or
1.03141361256544502617801047120418848167539267015706806282722513089005235602094240837696335078534
(Nn44)1⅄∀P2nd=(Pn46/Pn44)=(199/193)=1.^031088082901554404145077720207253886010362694300518134715025906735751295336787564766839378238341968911917098445595854922279792746113989637305699481865284974093264248704663212435233160621761658
or
1.031088082901554404145077720207253886010362694300518134715025906735751295336787564766839378238341968911917098445595854922279792746113989637305699481865284974093264248704663212435233160621761658
Prime consecutive step tier base rationals of 2:199 of the 10 digit prime 1,000,000,007
1st tier 46 primes example 10 tiers to 9 divisions of primes with primes (p) or (P) P→Q→∈2⅄Q ∈1⅄Q
∈3⅄Q does not exist where numbers of p have no decimals path variant of cn
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199
After factoring quotients for sets ∈1⅄Q and ∈2⅄Q from ordinal prime P base then
if 2⅄∀2nd=(n1/n3) of (Nn) then
(Nn1)2⅄∀P2nd=(Pn1/Pn3)=(2/5)=0.4
(Nn2)2⅄∀P2nd=(Pn2/Pn4)=(3/7)=0.^428571 or 0.428571
(Nn3)2⅄∀P2nd=(Pn3/Pn5)=(5/11)=0.^45 or 0.45
(Nn4)2⅄∀P2nd=(Pn4/Pn6)=(7/13)=0.^538461 or 0.538461
(Nn5)2⅄∀P2nd=(Pn5/Pn7)=(11/17)=0.^6470588235294117 or 0.6470588235294117
(Nn6)2⅄∀P2nd=(Pn6/Pn8)=(13/19)=0.^684210526315789473 or 0.684210526315789473
(Nn7)2⅄∀P2nd=(Pn7/Pn9)=(17/23)=0.^7391304347826086956521 or 0.7391304347826086956521
(Nn8)2⅄∀P2nd=(Pn8/Pn10)=(19/29)=0.^6551724137931034482758620689 or 0.6551724137931034482758620689
(Nn9)2⅄∀P2nd=(Pn9/Pn11)=(23/31)=0.^741935483870967 or 0.741935483870967
(Nn10)2⅄∀P2nd=(Pn10/Pn12)=(29/37)=0.^783 or 0.783
(Nn11)2⅄∀P2nd=(Pn11/Pn13)=(31/41)=0.^75609 or 0.75609
(Nn12)2⅄∀P2nd=(Pn12/Pn14)=(37/43)=0.^860465116279069767441 or 0.860465116279069767441
(Nn13)2⅄∀P2nd=(Pn13/Pn15)=(41/47)=0.^8723404255319148936170212765957446808510638297 or 0.8723404255319148936170212765957446808510638297
(Nn14)2⅄∀P2nd=(Pn14/Pn16)=(43/53)=0.^8113207547169 or 0.8113207547169
(Nn15)2⅄∀P2nd=(Pn15/Pn17)=(47/59)=0.^7966101694915254237288135593220338983050847457627118644067
or
0.7966101694915254237288135593220338983050847457627118644067
(Nn16)2⅄∀P2nd=(Pn16/Pn18)=(53/61)=0.^868852459016393442622950819672131147540983606557377049180327
or
0.868852459016393442622950819672131147540983606557377049180327
(Nn17)2⅄∀P2nd=(Pn17/Pn19)=(59/67)=0.^880597014925373134328358208955223 or 0.880597014925373134328358208955223
(Nn18)2⅄∀P2nd=(Pn18/Pn20)=(61/71)=0.^85915492957746478873239436619718309 or 0.85915492957746478873239436619718309
(Nn19)2⅄∀P2nd=(Pn19/Pn21)=(67/73)=0.^91780821 or 0.91780821
(Nn20)2⅄∀P2nd=(Pn20/Pn22)=(71/79)=0.^8987341772151 or 0.8987341772151
(Nn21)2⅄∀P2nd=(Pn21/Pn23)=(73/83)=0.^87951807228915662650602409638554216867469 or 0.87951807228915662650602409638554216867469
(Nn22)2⅄∀P2nd=(Pn22/Pn24)=(79/89)=0.^88764044943820224719101123595505617977528089 or 0.88764044943820224719101123595505617977528089
(Nn23)2⅄∀P2nd=(Pn23/Pn25)=(83/97)=0.^855670103092783505154639175257731958762886597938144329896907216494845360824742268041237113402061
or
0.855670103092783505154639175257731958762886597938144329896907216494845360824742268041237113402061
(Nn24)2⅄∀P2nd=(Pn24/Pn26)=(89/101)=0.^8811 or 0.8811
(Nn25)2⅄∀P2nd=(Pn25/Pn27)=(97/103)=0.^9417475728155339805825242718446601 or 0.9417475728155339805825242718446601
(Nn26)2⅄∀P2nd=(Pn26/Pn28)=(101/107)=0.^94392523364485981308411214953271028037383177570093457 or 0.94392523364485981308411214953271028037383177570093457
(Nn27)2⅄∀P2nd=(Pn27/Pn29)=(103/109)=0.^944954128440366972477064220183486238532110091743119266055045871559633027522935779816513761467889908256880733
or
0.944954128440366972477064220183486238532110091743119266055045871559633027522935779816513761467889908256880733
(Nn28)2⅄∀P2nd=(Pn28/Pn30)=(107/113)=0.^9469026548672566371681415929203539823008849557522123893805309734513274336283185840707964601769911504424778761061
or
0.9469026548672566371681415929203539823008849557522123893805309734513274336283185840707964601769911504424778761061
(Nn29)2⅄∀P2nd=(Pn29/Pn31)=(109/127)=0.^858267716535433070866141732283464566929133 or 0.858267716535433070866141732283464566929133
(Nn30)2⅄∀P2nd=(Pn30/Pn32)=(113/131)=0.^8625954198473282442748091603053435114503816793893129770992366412213740458015267175572519083969465648854961832061068702290076335877
or
0.8625954198473282442748091603053435114503816793893129770992366412213740458015267175572519083969465648854961832061068702290076335877
(Nn31)2⅄∀P2nd=(Pn31/Pn33)=(127/137)=0.^92700729 or 0.92700729
(Nn32)2⅄∀P2nd=(Pn32/Pn34)=(131/139)=0.^9424460431654676258992805755395683453237410071 or 0.9424460431654676258992805755395683453237410071
(Nn33)2⅄∀P2nd=(Pn33/Pn35)=(137/149)=0.^9194630872483221476510067114093959731543624161073825503355704697986577181208053691275167785234899328859060402684563758389261744966442953020134228187
or
0.9194630872483221476510067114093959731543624161073825503355704697986577181208053691275167785234899328859060402684563758389261744966442953020134228187
(Nn34)2⅄∀P2nd=(Pn34/Pn36)=(139/151)=0.^920529801324503311258278145695364238410596026490066225165562913907284768211
or
0.920529801324503311258278145695364238410596026490066225165562913907284768211
(Nn35)2⅄∀P2nd=(Pn35/Pn37)=(149/157)=0.949044585987261146496815286624203821656050955414012738853503184713375796178343
or
0.949044585987261146496815286624203821656050955414012738853503184713375796178343
(Nn36)2⅄∀P2nd=(Pn36/Pn38)=(151/163)=0.926380368098159509202453987730061349693251533742331288343558282208588957055214723
or
0.926380368098159509202453987730061349693251533742331288343558282208588957055214723
(Nn37)2⅄∀P2nd=(Pn37/Pn39)=(157/167)=0.^9401197604790419161676646706586826347305389221556886227544910179640718562874251497005988023952095808383233532934131736526946107784431137724550898203592814371257485029
or
0.9401197604790419161676646706586826347305389221556886227544910179640718562874251497005988023952095808383233532934131736526946107784431137724550898203592814371257485029
(Nn38)2⅄∀P2nd=(Pn38/Pn40)=(163/173)=0.^9421965317919075144508670520231213872832369
or
0.9421965317919075144508670520231213872832369
(Nn39)2⅄∀P2nd=(Pn39/Pn41)=(167/179)=0.^9329608938547486033519553072625698324022346368715083798882681564245810055865921787709497206703910614525139664804469273743016759776536312849162011173184357541899441340782122905027
or
0.9329608938547486033519553072625698324022346368715083798882681564245810055865921787709497206703910614525139664804469273743016759776536312849162011173184357541899441340782122905027
(Nn40)2⅄∀P2nd=(Pn40/Pn42)=(173/181)=0.^955801104972375690607734806629834254143646408839779005524861878453038674033149171270718232044198895027624309392265193370165745856353591160220994475138121546961325966850828729281767
or
0.955801104972375690607734806629834254143646408839779005524861878453038674033149171270718232044198895027624309392265193370165745856353591160220994475138121546961325966850828729281767
(Nn41)2⅄∀P2nd=(Pn41/Pn43)=(179/191)=0.^93717277486910994764397905759162303664921465968586387434554973821989528795811518324607329842931
or
0.93717277486910994764397905759162303664921465968586387434554973821989528795811518324607329842931
(Nn42)2⅄∀P2nd=(Pn42/Pn44)=(181/193)=0.^937823834196891191709844559585492227979274611398963730569948186528497409326424870466321243523316062176165803108808290155440414507772020725388601036269430051813471502590673575129533678756476683
or
0.937823834196891191709844559585492227979274611398963730569948186528497409326424870466321243523316062176165803108808290155440414507772020725388601036269430051813471502590673575129533678756476683
(Nn43)2⅄∀P2nd=(Pn43/Pn45)=(191/197)=0.^96954314720812182741116751269035532994923857868020304568527918781725888324873096446700507614213197
or
0.96954314720812182741116751269035532994923857868020304568527918781725888324873096446700507614213197
(Nn44)2⅄∀P2nd=(Pn44/Pn46)=(193/199)=0.^969849246231155778894472361809045226130653266331658291457286432160804020100502512562814070351758793
or
0.969849246231155778894472361809045226130653266331658291457286432160804020100502512562814070351758793
Further factoring of For All For Any path functions
If 1⅄∀2nd=(n3/n1) and 2⅄∀2nd=(n1/n3)
then with
1⅄∀2nd=(n3/n1) applied with variables of sets, ∈φ, ∈Θ, ∈1⅄Q, ∈2⅄Q
1⅄∀φ2nd=(φn3cn/φn1cn)
1⅄∀Θ2nd=(Θn3cn/Θn1cn)
1⅄∀1⅄Q2nd=(1⅄Qn3cn/1⅄Qn1cn)
1⅄∀2⅄Q2nd=(2⅄Qn3cn/2⅄Qn1cn)
and
2⅄∀2nd=(n1/n3) applied with variables of sets, ∈φ, ∈Θ, ∈1⅄Q, ∈2⅄Q
2⅄∀φ2nd=(φn1cn/φn3cn)
2⅄∀Θ2nd=(Θn1cn/Θn3cn)
2⅄∀1⅄Q2nd=(1⅄Qn1cn/1⅄Qn3cn)
2⅄∀2⅄Q2nd=(2⅄Qn1cn/2⅄Qn3cn)
And If 1⅄∀3rd=(n4/n1) and 2⅄∀3rd=(n1/n4)
then with
1⅄∀3rd=(n4/n1) applied with variables of sets, ∈φ, ∈Θ, ∈1⅄Q, ∈2⅄Q
1⅄∀φ3rd=(φn4cn/φn1cn)
1⅄∀Θ3rd=(Θn4cn/Θn1cn)
1⅄∀1⅄Q3rd=(1⅄Qn4cn/1⅄Qn1cn)
1⅄∀2⅄Q3rd=(2⅄Qn4cn/2⅄Qn1cn)
and
2⅄∀3rd=(n1/n4) applied with variables of sets, ∈φ, ∈Θ, ∈1⅄Q, ∈2⅄Q
2⅄∀φ3rd=(φn1cn/φn4cn)
2⅄∀Θ3rd=(Θn1cn/Θn4cn)
2⅄∀1⅄Q3rd=(1⅄Qn1cn/1⅄Qn4cn)
2⅄∀2⅄Q3rd=(2⅄Qn1cn/2⅄Qn4cn)
And so on for further sets from the (For all For any) n⅄∀n function to consecutive variable sets
Complex further variables factored in ∈⅄ᐱ and ∈⅄ᗑ equations then may be also including variables from any multitude of a variety of (For all For any) n⅄∀n variable factors each with a definable cn variable factor of potential change.
if
1⅄∀2nd=(n3/n1) then 1⅄∀φ2nd=(φn3cn/φn1cn)
(Nn1) 1⅄∀φ2nd=(φn3cn/φn1cn)=(2/0)=0
(Nn2) 1⅄∀φ2nd=(φn4cn/φn2cn)=(1.5/1)=1.5
(Nn3) 1⅄∀φ2nd=(φn5cn/φn3cn)=(1.6/2)=0.8 and (Nn3) 1⅄∀φ2nd=(φn5c2/φn3cn)=(1.66/2)=0.83 and so on for cn variable change factors of (Nn3) 1⅄∀φ2nd that are φn5cn and φn3cn
(Nn4) 1⅄∀φ2nd=(φn6cn/φn4cn)=(1.6/1.5)=1.06
(Nn5) 1⅄∀φ2nd=(φn7cn/φn5cn)=(1.625/1.6)=1.015625 and (Nn5) 1⅄∀φ2nd=(φn7cn/φn5c2)=(1.625/1.66)=0.9789156626506024096385542168674698795180722 and so on for cn variable change factors of (Nn5) 1⅄∀φ2nd that are φn7cn and φn5cn
(Nn6) 1⅄∀φ2nd=(φn8cn/φn6cn)=(1.615384/1.6)=1.009615
(Nn7) 1⅄∀φ2nd=(φn9cn/φn7cn)=(1.619047/1.625)=0.996336615384
So then for application of quotients from function path (Nn)1⅄∀φ2nd as variable factors including their potential change use in complex set ∈⅄ᐱ and ∈⅄ᗑ equations with varying paths ⅄ncn ⅄X 1⅄ 2⅄ 3⅄ncn +⅄ 1-⅄ 2-⅄ the quotient stem cell cycle and accurate quotients must be factored to definable values before practical application of the quotients of a number (Nn)1⅄∀φ2nd can then be used in complex set ∈⅄ᐱ and ∈⅄ᗑ equations with varying paths ⅄ncn ⅄X 1⅄ 2⅄ 3⅄ncn +⅄ 1-⅄ 2-⅄
(Nn8) 1⅄∀φ2nd=(φn10cn/φn8cn)=(1.61762941/1.615384)
(Nn9) 1⅄∀φ2nd=(φn11cn/φn9cn)=(1.618/1.619047)
(Nn10) 1⅄∀φ2nd=(φn12cn/φn10cn)=(1.61797752808988764044943820224719101123595505/1.61762941)
(Nn11) 1⅄∀φ2nd=(φn13cn/φn11cn)=(1.61805/1.618)
(Nn12) 1⅄∀φ2nd=(φn14cn/φn12cn)=(1.61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832/1.61797752808988764044943820224719101123595505)
(Nn13) 1⅄∀φ2nd=(φn15cn/φn13cn)=(1.61830223896551724135014/1.61805)
(Nn14) 1⅄∀φ2nd=(φn16cn/φn14cn)=(1.618032786885245901639344262295081967213114754098360655737704918/1.61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832)
(Nn15) 1⅄∀φ2nd=(φn17cn/φn15cn)=(1.6180344478216818642350572441742654508601925025329280648429584599797365754812563323201418439716312056737588652482269503546099290780141843/1.61830223896551724135014)
(Nn16) 1⅄∀φ2nd=(φn18cn/φn16cn)=(1.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/1.618032786885245901639344262295081967213114754098360655737704918)
(Nn17) 1⅄∀φ2nd=(φn19cn/φn17cn)=(1.618034055731424148606811145510835913312693/1.6180344478216818642350572441742654508601925025329280648429584599797365754812563323201418439716312056737588652482269503546099290780141843)
(Nn18) 1⅄∀φ2nd=(φn20cn/φn18cn)=(1.61803396316670629036115761779478593637885673283903372398947620186558239655584788327911265247548433389141353743123654628079406840468787371442238722793590050227218368811289165271466156421908634298014828988280315713944032525711552260224826596508012437215977038985864625687634537192059315953121262855776130112413298254006218607986127720640994977278163118631906242/1.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129)
(Nn19) 1⅄∀φ2nd=(φn21cn/φn19cn)=(1.61803399852/1.618034055731424148606811145510835913312693)
(Nn20) 1⅄∀φ2nd=(φn22cn/φn20cn)=(1.6180339985010049351361227845806687374385163530970217431207747140526219623606797003471770509775260369084598940279554176959619952494246310067604604606248876201845441458249607162433948492782751690115110542682258359217979170473415128814180522565320665083135391923990498995066691028686278092454048985930933674403617759848364701260734516627078384799926913941183994154944291065229307509492545240288598574823679883062305865164445660515253974056276265302393568427005298739265485291430842335099579755161702905171752247414776521152932578110725379133930202813813265119678421523844346811620683354651927644821852731591449132103051342974604423716426274440178896400694319386077105773798647926365795724284672026310981/1.61803396316670629036115761779478593637885673283903372398947620186558239655584788327911265247548433389141353743123654628079406840468787371442238722793590050227218368811289165271466156421908634298014828988280315713944032525711552260224826596508012437215977038985864625687634537192059315953121262855776130112413298254006218607986127720640994977278163118631906242)
(Nn21) 1⅄∀φ2nd=(φn23cn/φn21cn)=(1.618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793292304217717802495624188357517983174298458585060132121280560103890237705381401388967308452374230704082208796792953531703461125853989046355372367455253797075263960250691660549940714810005081587713850149624527130032183388854384280955338490203828129411100446050477104624244819603636158319631867201174411382756479024335158940771272090791033820789339958218056575009880864999153068713229066681723222855852295183784088984247078087064536163965896900231494551408729038450680368132798825588617245152729941844051719270509852633956298345660324092371972220653830987894528823894754672237592456665349218000112924171418892213878380667381853085652984021229744226751736209135565467788380102760995991191914629326407217486307944215459319067246344079950313364575687425893512506351984642312687030688912540229236067980351194173112754785161763875557563096380780306024504545197899610411608604821862119586697532606854497205126757382417706510078482299136130094291434701597877025577324826379086443453221161989723900400880808537067359268251369205578454068093275365592004968663542431257410648749364801535768731296934108745977076393201964880582688724521483823612444243690361921969397549528541584326125007057760713680763367398791711365817853311501326859014171983513070972841736773755642256224944949466433290045734289424651346620744170289650499689458528598046411834453164699904014454293941618203376432725424877194963581954717407261024222234769352375876912653153407486872565072553780136639376658573767714979391338716052170967195528202811811868330416135571678617808141832759302128620631246118231607475580147930664558748800169386257156565363107673197447913725933035966347596917170120264242561120207780475410761673536220427982609677601490599062729377223197624809440460730619389080232623793122917980589464174806617356445147083733273107108576590819264863644063011687651741798882050702952967082604031392919654452035458189825532155157811529563548077465981593360058720569137823951216757947038563604539551691039466997910902828750494043249957653435317915419795607249731805092880130992038844785726384732652024165772683642933769973462819715995708881486082095872621534639789582745186607193269713737225453108237818305008187002427869/1.61803399852)
(Nn22) 1⅄∀φ2nd=(φn24cn/φn22cn)=(1.61803398820532505147084481976480441078968489374323899919740377569180304986565237114841051052098963604006002023938304777192309034441846669225669120982656942457340265903618662106989566249083993439648253480824929336636772865268520780263111979621035000174477440066999336985727745402519454234567470426073908643612380919147154272952507240813762780472484907701434204557350734550022682067208709913808144606902327529050493771155389608123669609519489130055483825941305789161461423038001186446592455595491502948668737132288795058798897302578776564190250200649056077049237533586907212897372369752590989984994940154238057019227413895383326935827197543357643856649335240953344732526084377290016400879366297937676658408067836828698049342220050947412499563806399832501657535680636493701364413581323934815228390969047702132114317618731897965593048818787730746414488606623163624943294831978225215479638482744181177373765572111525979690825976201277174861290435146735527096346442404997033883518861011271242628328157169278012353002756743553058589524374498377359807376906166032731967756569075618522525037512649614404857451931465261541682660432006141605890358376661897616638168684789056774958997801584255155808353979830407928254876644449872631468751090484000418745856160798408765746588966046690162961929022577380744669714205953170255086017377953030673133963778483442090937641762920054436961300903793139547056565586069721185050772935059496807062846773912133161182259133893987507415291202847471821893429179607076804969117493108141117353526189063754056600481557734584918170080608577310953693687406218375963987856370171336846145793348919984645985274104058345255958404578288027358062602505496039362110479115050423980179362808388875318421328122273789998953135359598003978085633527584883274592595177443556548138325714485117074362284956555117423317165090553791394772655895592699863907596747740517151132358586034825697037373067662351257982342883065219667097044352165265031231461771992881320445266427050982307987577206267229647206616184527340614858498796105663537704574798478556722615765781484454060090030359074571657884635516627700038385036814739854136860103988554279931604843493736259901594723802212373940049551592979027811703946679694315525002617161601004990054785916181037791813518512056391108629654185713787207314094287608612206441707087273615521513068360261018250340231008130648707122169103534912935757406567330844121855044142792336950832257389119586837421921345570017796698886833932372544230031056984331925881983459538681648462853753009735841155738563003803608193460585546288864849774924102313570855288411208430749904037407963150364657849740028614300170987891265659350246013190494469065149876121017552430470740133300764211187493457095997487524863035209547405520466203719859022228425864535715531981714764280978469483895732281815961196217329099347454374149422479673378232194577241162717660606483581672889695362389643019157622919356527201032906445196636074955508252782915169068639424922357539170185295041351153295878842865617475660397110653592490490979516348536134277837875562689744216072861778971978923125239906480092124088355375649928464249572530271835851624384967023763827337125309697456118923823149666748089472031266357260006281187842411976131486198834490700352444428935338660711170045713089297553826290260669295460097009456677251631364064626443800816554419513556897093205848483791045817775761594025892452105942701608681997417733887008409812611229368042712077328401437694106152074536762396622116760302892835956310849007223366018773772551209128659664305405311093275639459817845552570052692186900233799769689779111560875178839376068674320410370939037582440590431657186725756359702690442125833129776319921834106849984297030393970059671284502913773249118888927661653348222074885717276756115434274348326761349757476358306870921589838433890497958613951216107757266985378790522385455560596014935268869735143245978295006455665282478975468471926579893219806678996405764734619813658094008444708099242767910109222877481941584953065568621977178350839236486722266810901350455386118574868269532749415500575775552221097812052901559828314198974072652406043898523920857033185609100743273894685417175559200195414732875039257424015074850821788742715566877202777680845866629444812785706808109711414314129183096625606309104232822696025403915273755103465121959730606832536553023694036361098509962661827825662141885054262483860836793802561328820183550266950483302508985588163450465854764978888229751893080224726942806295146037617336078445057054122901908783194332972746623861534703562829326168126461248560561119447255469867746100429214502564818368984890253690197857417035977248141815263286457061101999511463167812401856439962312872945528143211082806993055797885333426387968035732979725721464214677042258435984227239417943259936490211815612241337195100673482918658617440764909097253725093345430435844645287364343790347908015493596677949541124332623791743727536029591373835363087552779425620267299438182642984262134905956659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(Nn23) 1⅄∀φ2nd=(φn25cn/φn23cn)=(1.61803398895790200138026224982746721877156659765355417529330572808833678/1.618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793292304217717802495624188357517983174298458585060132121280560103890237705381401388967308452374230704082208796792953531703461125853989046355372367455253797075263960250691660549940714810005081587713850149624527130032183388854384280955338490203828129411100446050477104624244819603636158319631867201174411382756479024335158940771272090791033820789339958218056575009880864999153068713229066681723222855852295183784088984247078087064536163965896900231494551408729038450680368132798825588617245152729941844051719270509852633956298345660324092371972220653830987894528823894754672237592456665349218000112924171418892213878380667381853085652984021229744226751736209135565467788380102760995991191914629326407217486307944215459319067246344079950313364575687425893512506351984642312687030688912540229236067980351194173112754785161763875557563096380780306024504545197899610411608604821862119586697532606854497205126757382417706510078482299136130094291434701597877025577324826379086443453221161989723900400880808537067359268251369205578454068093275365592004968663542431257410648749364801535768731296934108745977076393201964880582688724521483823612444243690361921969397549528541584326125007057760713680763367398791711365817853311501326859014171983513070972841736773755642256224944949466433290045734289424651346620744170289650499689458528598046411834453164699904014454293941618203376432725424877194963581954717407261024222234769352375876912653153407486872565072553780136639376658573767714979391338716052170967195528202811811868330416135571678617808141832759302128620631246118231607475580147930664558748800169386257156565363107673197447913725933035966347596917170120264242561120207780475410761673536220427982609677601490599062729377223197624809440460730619389080232623793122917980589464174806617356445147083733273107108576590819264863644063011687651741798882050702952967082604031392919654452035458189825532155157811529563548077465981593360058720569137823951216757947038563604539551691039466997910902828750494043249957653435317915419795607249731805092880130992038844785726384732652024165772683642933769973462819715995708881486082095872621534639789582745186607193269713737225453108237818305008187002427869)
(Nn24) 1⅄∀φ2nd=(φn26cn/φn24cn)=(1.61803398867044318560479840053315561479506831056314561812729090303232255914695101632789070309896701099633455514828390536487837387537487504165278240586471176274575141619460179940019993335554815061646117960679773408863712095968010663112295901366211262912362545818060646451182939020326557814061979340219926691102965678107297567477507497500833055648117294235254915028323892035988003998667110963012329223592135954681772742419193602132622459180273242252582472509163612129290236587804065311562812395868043985338220593135621459513495501499500166611129623458847050983005664778407197600799733422192602465844718427190936354548483838720426524491836054648450516494501832722425858047317560813062312562479173608797067644118627124291902699100299900033322225924691769410196601132955681439520159946684438520493168943685438187270909696767744085304898367210929690103298900366544485171609463512162612462512495834721759413528823725424858380539820059980006664445184938353882039320226591136287904031989336887704098633788737087637454181939353548817060979673442185938020659780073308897034321892702432522492502499166944351882705764745084971676107964011996001332889036987670776407864045318227257580806397867377540819726757747417527490836387870709763412195934688437187604131956014661779406864378540486504498500499833388870376541152949016994335221592802399200266577807397534155281572809063645451516161279573475508163945351549483505498167277574141952682439186937687437520826391202932355881372875708097300899700099966677774075308230589/1.618033988205325051470844819764804410789684893743238999197403775691803049865652371148410510520989636040060020239383047771923090344418466692256691209826569424573402659036186621069895662490839934396482534808249293366367728652685207802631119796210350001744774400669993369857277454025194542345674704260739086436123809191471542729525072408137627804724849077014342045573507345500226820672087099138081446069023275290504937711553896081236696095194891300554838259413057891614614230380011864465924555954915029486687371322887950587988973025787765641902502006490560770492375335869072128973723697525909899849949401542380570192274138953833269358271975433576438566493352409533447325260843772900164008793662979376766584080678368286980493422200509474124995638063998325016575356806364937013644135813239348152283909690477021321143176187318979655930488187877307464144886066231636249432948319782252154796384827441811773737655721115259796908259762012771748612904351467355270963464424049970338835188610112712426283281571692780123530027567435530585895243744983773598073769061660327319677565690756185225250375126496144048574519314652615416826604320061416058903583766618976166381686847890567749589978015842551558083539798304079282548766444498726314687510904840004187458561607984087657465889660466901629619290225773807446697142059531702550860173779530306731339637784834420909376417629200544369613009037931395470565655860697211850507729350594968070628467739121331611822591338939875074152912028474718218934291796070768049691174931081411173535261890637540566004815577345849181700806085773109536936874062183759639878563701713368461457933489199846459852741040583452559584045782880273580626025054960393621104791150504239801793628083888753184213281222737899989531353595980039780856335275848832745925951774435565481383257144851170743622849565551174233171650905537913947726558955926998639075967477405171511323585860348256970373730676623512579823428830652196670970443521652650312314617719928813204452664270509823079875772062672296472066161845273406148584987961056635377045747984785567226157657814844540600900303590745716578846355166277000383850368147398541368601039885542799316048434937362599015947238022123739400495515929790278117039466796943155250026171616010049900547859161810377918135185120563911086296541857137872073140942876086122064417070872736155215130683602610182503402310081306487071221691035349129357574065673308441218550441427923369508322573891195868374219213455700177966988868339323725442300310569843319258819834595386816484628537530097358411557385630038036081934605855462888648497749241023135708552884112084307499040374079631503646578497400286143001709878912656593502460131904944690651498761210175524304707401333007642111874934570959974875248630352095474055204662037198590222284258645357155319817147642809784694838957322818159611962173290993474543741494224796733782321945772411627176606064835816728896953623896430191576229193565272010329064451966360749555082527829151690686394249223575391701852950413511532958788428656174756603971106535924904909795163485361342778378755626897442160728617789719789231252399064800921240883553756499284642495725302718358516243849670237638273371253096974561189238231496667480894720312663572600062811878424119761314861988344907003524444289353386607111700457130892975538262902606692954600970094566772516313640646264438008165544195135568970932058484837910458177757615940258924521059427016086819974177338870084098126112293680427120773284014376941061520745367623966221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(Nn25) 1⅄∀φ2nd=(φn27cn/φn25cn)=(1.6180339887802426828565073768668704126267577207911494072969611097839249380112527081462687304869308773982025322712182745298328569192622309358859242295684265155321970789089980476633743296565699834422083645679734416317250582817790152644715922664404043066733666685887983656388753882019556317085828672163963325727183610257593106686547000238893511157974512533671628512352442068323544191180710584630085754532798431540533638677683227204204525796380351420592620661817402980402494377764780506289489509279777252395113392040727224798793999654016294185002430123647986292455083901048660136910695015363324079642153995699916799156458774393910686777656042770176204558747209476658456418409628232270394503801701910324318535665153674429332828087286746352755101200233950886789188832964009456887958943266909953621708006227706704669956257774336246735808489781124117535607489723460166566441228077401497615183742060909607638002191230136828317942550229420147784468626691819132898931569365614162266358027233860272009094428838565650408178395788884037794601006647829776016739021195620834809255887901279315940787360061947558755447183939765884359065184977717001804057894606773042926692642903627062515960557857537090277034095870437339879564719547255607819231751418945079205555509790515103836300280905818292652788875800087319697181880339064031698697618478824973433394017776972313065827518884943942401950689084214081536826670401093967526957897078085227319532427734712874712709958564332375013386274332127882167835048149399059253828474458988574300000823770728130946594943695270732249800235598428245450726153896847429423442867381150478198907680014498364815104660071009036764887596484146532337119932780308584514757852594465908248416300775168255171220745842017249759047062021698120978969133310816933431087459738205662599985172126893642961291013485126819503595759228291581886929229856746270378028387139291392419661759739029433328116118721837338232023263285362417931841209954445478734358653299613651528506586046971406918026574843689504337152883609433822378555600405295198240425724712298073200266901715914426696761757267717248935276333890751526035273862578567133195489031492754936446088324697470200093909863006927911823581260863476477226858220819981382781544240606954272486881451154514675475521652813588921931248095030191197185999192704686431672336955178634682395195769113540319458288369181089519165025989966472531365070473585791602481197433130411143970410155445536398309622465875297587175537304457423409916552025240335109932203669074823095236133879218735841440610249355399405237534289456558450652014531315644229897934806784575716886476155956274249750809354740388655029532180603494435428731475455751155338446203652599408532617201980344830426795614244643430840328519766378621502063545673968021220333956653184285749590174062754854069015511602810705724382789781947888263738436318403861837173477877637096043429192787063504485431614673004209468420749137100162282833441796479203907968334253210646412890364353793052317678943596418244874086644205184812962856177868575/1.61803398895790200138026224982746721877156659765355417529330572808833678)
(Nn26) 1⅄∀φ2nd=(φn28cn/φn26cn)=(1.6180339887383030068527324379639340589966296367949984217332423708621409443126393711370648311254569336822490810414524127116659369304238919040006516714354081601482552515553564337280697288435886731358633119164231384089034609862639880255373743750572758097526703255302467187324990581311285116435357248317363989043773992200307507458583225569957946827683817165432903298068405135985500310562168436701320652893319349550448533230152022727041309859585170401897993055626266431793420154975613233003085256952010508201895956582390615931330122493865124377602867354315795904652323106843568308403506806911790161797798572432261808999175228339561547312364447250252013562911749432333085562422995855776965451231557189259640155179260556568135303281776619250781496604180879552790477451150098259833620136647354112148581087273060513802197354621266889999898176338217474976835116944475557229989104868189269822521357513058884623608834220896251871009785253897300654726145261635898950198047022167011170055697542995041187671191031371870195195959637100469407080817440356790110885967681169750226557647466118176541864798541885163274241668278874644889979533443981712470343858505839587003227810078506043234326792860124835809345375678400146626072966836033357431599955197588815688989807451455569245181195206142003278721909397305745909234387887057194350823244305511714812288079503915119795538087140689753484914824506918917818122575324053803622885886222240324206539115559673756987648789825779714690099685364885091997678420511358429471840666334042704843751590994715351953486951297742569418281420236434542659023103788858454927756111965298496064515472105407854677269903980286939078903155515278640450467879725890702481442637640134814528200063130670305165514362227494425154517406754981722652710036758341903491533362522783044323839973933142583673594069789937785742650877210846256453074565467523343074463643861560549440478978505024997708967609893186978790131250700037674754859534258571006730544043824904031198769970165667097720168212689264731338268386807726379456057998757751326253194717388426722601798205867079391909091834760561659318392408027777494934272826319380097547067987658972191957967192416173670437536274679510024539502489588530582736816381390707572625726766385972772352839352808805710270952764003299086641753810750542210998991945748353002270667657750308016576892138195073771242961439379282957773727458786872893522996874013583276481788838090195399606960665519453410583551405675650907757944791210581514932440000407294647130100092659532222097771080043580527242920709914569947764461505564663116414992515960858984410797381095418953456404199207811911331955319777209828019835249315235874512519219216161451598122371676730238572839556456129275320999093769410135527293832540805832459346903033326884501420440081866224073150118624565976641651987088759685975827062692828559500656762618497286399413495708132655866570273600179209644737244040770194177723019275219175431986885112362410777016363062448451771222596707022777953140750847681984339520817847651437240986060340701972324328727509698703784785508456455111038703173843537761304972049404840696881141239601258540459632009286317954566282112637334663829180624993636021138592186052194809029722326874319054261829363907584844566180288975552138806015741938111578368581290920384078852243684387377938885438198128481096437190074229449439460741887199747477318779337942551090022299381930372980073109389159852966632386033866549908867822704640104267429665305623720840248857029396491156614974187701738129906627702145424553757802238084085979900009164129560427252084839474997199849300980561862965715973077823824700383875204920119337331609119327149242941074646926452769094482175768004968994694987221130446293109592807176531682432363632660957753362726430367888890020262908694722479609811728049364111232168131230335305318249854901281959901841990041645877669052734474437169709497092934456108910588642588764777158916188943986803653432984756997831156004032217006587990917329368998767933692431447219704915028154242482868168905090164852508425908012503945666894072844647639218401572157337922186357665794377297396368968220835157673940270239998370821411479599629361871111608915679825677891028317160341720208942153977741347534340029936156564062356810475618324186174383203168752354672178720891160687920659002739056501949923123135354193607510513293079045708641774175482898716003624922359457890824669836776670162612387866692461994318239672535103707399525501736093433392051644961256096691749228685761997372949526010854402346017167469376533718905599283161421051023836919223289107922899123298272052459550550356891934547750206192915109613171908888187436996609272062641916728609394251036055758637192110702685089961205184860857966174179555845187304625848954780111802380637212475435041594965838161471962854728181734871549450661344683277500025455915445631255791220763881110692502723782952682544369660621735278844097791444775937032247553686525674836318463684591025262450488244458247207486075614251239703082202242157032451201010090724882648229795639910802472278508079707562443360588133470455864533800364528709181439582930281338777505116639004571882414035373540103249193047480373489191418301784968791047663656080399963343481758290991660642100011200602796077752548137136107688704701198464499180319522650673563522691403028235701412294188923622071296927980124021220051115478214827561628771293873270270545469356168986549094278528444439918948365221110081560753087802543555071327475078658778727000580394872160392632039833416489323789062102251321162011628262175564357645429644940891364335244224052785386268060972008675375983871131973648036330682524004928265230274211121/1.61803398867044318560479840053315561479506831056314561812729090303232255914695101632789070309896701099633455514828390536487837387537487504165278240586471176274575141619460179940019993335554815061646117960679773408863712095968010663112295901366211262912362545818060646451182939020326557814061979340219926691102965678107297567477507497500833055648117294235254915028323892035988003998667110963012329223592135954681772742419193602132622459180273242252582472509163612129290236587804065311562812395868043985338220593135621459513495501499500166611129623458847050983005664778407197600799733422192602465844718427190936354548483838720426524491836054648450516494501832722425858047317560813062312562479173608797067644118627124291902699100299900033322225924691769410196601132955681439520159946684438520493168943685438187270909696767744085304898367210929690103298900366544485171609463512162612462512495834721759413528823725424858380539820059980006664445184938353882039320226591136287904031989336887704098633788737087637454181939353548817060979673442185938020659780073308897034321892702432522492502499166944351882705764745084971676107964011996001332889036987670776407864045318227257580806397867377540819726757747417527490836387870709763412195934688437187604131956014661779406864378540486504498500499833388870376541152949016994335221592802399200266577807397534155281572809063645451516161279573475508163945351549483505498167277574141952682439186937687437520826391202932355881372875708097300899700099966677774075308230589)
(Nn27) 1⅄∀φ2nd=(φn29cn/φn27cn)=(1.618033988754322537608830405492572629644663022991652271318488032195235533068395996362/1.6180339887802426828565073768668704126267577207911494072969611097839249380112527081462687304869308773982025322712182745298328569192622309358859242295684265155321970789089980476633743296565699834422083645679734416317250582817790152644715922664404043066733666685887983656388753882019556317085828672163963325727183610257593106686547000238893511157974512533671628512352442068323544191180710584630085754532798431540533638677683227204204525796380351420592620661817402980402494377764780506289489509279777252395113392040727224798793999654016294185002430123647986292455083901048660136910695015363324079642153995699916799156458774393910686777656042770176204558747209476658456418409628232270394503801701910324318535665153674429332828087286746352755101200233950886789188832964009456887958943266909953621708006227706704669956257774336246735808489781124117535607489723460166566441228077401497615183742060909607638002191230136828317942550229420147784468626691819132898931569365614162266358027233860272009094428838565650408178395788884037794601006647829776016739021195620834809255887901279315940787360061947558755447183939765884359065184977717001804057894606773042926692642903627062515960557857537090277034095870437339879564719547255607819231751418945079205555509790515103836300280905818292652788875800087319697181880339064031698697618478824973433394017776972313065827518884943942401950689084214081536826670401093967526957897078085227319532427734712874712709958564332375013386274332127882167835048149399059253828474458988574300000823770728130946594943695270732249800235598428245450726153896847429423442867381150478198907680014498364815104660071009036764887596484146532337119932780308584514757852594465908248416300775168255171220745842017249759047062021698120978969133310816933431087459738205662599985172126893642961291013485126819503595759228291581886929229856746270378028387139291392419661759739029433328116118721837338232023263285362417931841209954445478734358653299613651528506586046971406918026574843689504337152883609433822378555600405295198240425724712298073200266901715914426696761757267717248935276333890751526035273862578567133195489031492754936446088324697470200093909863006927911823581260863476477226858220819981382781544240606954272486881451154514675475521652813588921931248095030191197185999192704686431672336955178634682395195769113540319458288369181089519165025989966472531365070473585791602481197433130411143970410155445536398309622465875297587175537304457423409916552025240335109932203669074823095236133879218735841440610249355399405237534289456558450652014531315644229897934806784575716886476155956274249750809354740388655029532180603494435428731475455751155338446203652599408532617201980344830426795614244643430840328519766378621502063545673968021220333956653184285749590174062754854069015511602810705724382789781947888263738436318403861837173477877637096043429192787063504485431614673004209468420749137100162282833441796479203907968334253210646412890364353793052317678943596418244874086644205184812962856177868575)
(Nn28) 1⅄∀φ2nd=(φn30cn/φn28cn)
(Nn29) 1⅄∀φ2nd=(φn31cn/φn29cn)
(Nn30) 1⅄∀φ2nd=(φn32cn/φn30cn)
(Nn31) 1⅄∀φ2nd=(φn33cn/φn31cn)
(Nn32) 1⅄∀φ2nd=(φn34cn/φn32cn)
(Nn33) 1⅄∀φ2nd=(φn35cn/φn33cn)
(Nn34) 1⅄∀φ2nd=(φn36cn/φn34cn)
(Nn35) 1⅄∀φ2nd=(φn37cn/φn35cn)
(Nn36) 1⅄∀φ2nd=(φn38cn/φn36cn)
(Nn37) 1⅄∀φ2nd=(φn39cn/φn37cn)
(Nn38) 1⅄∀φ2nd=(φn40cn/φn38cn)
(Nn39) 1⅄∀φ2nd=(φn41cn/φn39cn)
(Nn40) 1⅄∀φ2nd=(φn42cn/φn40cn)
(Nn41) 1⅄∀φ2nd=(φn43cn/φn41cn)
(Nn42) 1⅄∀φ2nd=(φn44cn/φn42cn)
(Nn43) 1⅄∀φ2nd=(φn45cn/φn43cn)
And if
1⅄∀3rd=(n4/n1) then 1⅄∀φ3rd=(φn4cn/φn1cn)
(Nn1) 1⅄∀φ3rd=(φn4cn/φn1cn)=(1.5/0)=0
(Nn2) 1⅄∀φ3rd=(φn5cn/φn2cn)=(1.6/1)=1.6 and (Nn2) 1⅄∀φ3rd=(φn5c2/φn2cn)=(1.66/1)=1.66 and so on for cn of (Nn2) 1⅄∀φ3rd
(Nn3) 1⅄∀φ3rd=(φn6cn/φn3cn)=(1.6/2)=0.8
(Nn4) 1⅄∀φ3rd=(φn7cn/φn4cn)=(1.625/1.5)=1.083
(Nn5) 1⅄∀φ3rd=(φn8cn/φn5cn)=(1.615384/1.6)=1.009615 and (Nn5) 1⅄∀φ3rd=(φn8cn/φn5c2)=(1.615384/1.66)=0.973122891566265060240963855421686746987951807 while change variant factor of (Nn5) 1⅄∀φ3rd=(φn8c2/φn5cn)=(1.615384615384/1.6)=1.009615384615 and so quotients for (Nn5) 1⅄∀φ3rd rely on the cn definition to each variable and its number of repeated stem decimal cycle loops.
(Nn6) 1⅄∀φ3rd=(φn9cn/φn6cn)=(1.619047/1.6)=1.011904375 while (Nn6) 1⅄∀φ3rd=(φn9c2/φn6cn)=(1.619047619047/1.6)=1.011904761904375 and so on for cn variant of (Nn6) 1⅄∀φ3rd
(Nn7) 1⅄∀φ3rd=(φn10cn/φn7cn)=(1.61762941/1.625)=0.99546425230769
(Nn8) 1⅄∀φ3rd=(φn11cn/φn8cn)=(1.618/1.615384)
(Nn9) 1⅄∀φ3rd=(φn12cn/φn9cn)=(1.61797752808988764044943820224719101123595505/1.619047)
(Nn10) 1⅄∀φ3rd=(φn13cn/φn10cn)=(1.61805/1.61762941)
(Nn11) 1⅄∀φ3rd=(φn14cn/φn11cn)=(1.61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832/1.618)
(Nn12) 1⅄∀φ3rd=(φn15cn/φn12cn)=(1.61830223896551724135014/1.61797752808988764044943820224719101123595505)
(Nn13) 1⅄∀φ3rd=(φn16cn/φn13cn)=(1.618032786885245901639344262295081967213114754098360655737704918/1.61805)
(Nn14) 1⅄∀φ3rd=(φn17cn/φn14cn)=(1.6180344478216818642350572441742654508601925025329280648429584599797365754812563323201418439716312056737588652482269503546099290780141843/1.61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832)
(Nn15) 1⅄∀φ3rd=(φn18cn/φn15cn)=(1.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/1.61830223896551724135014)
(Nn16) 1⅄∀φ3rd=(φn19cn/φn16cn)=(1.618034055731424148606811145510835913312693/1.618032786885245901639344262295081967213114754098360655737704918)
(Nn17) 1⅄∀φ3rd=(φn20cn/φn17cn)=(1.61803396316670629036115761779478593637885673283903372398947620186558239655584788327911265247548433389141353743123654628079406840468787371442238722793590050227218368811289165271466156421908634298014828988280315713944032525711552260224826596508012437215977038985864625687634537192059315953121262855776130112413298254006218607986127720640994977278163118631906242/1.6180344478216818642350572441742654508601925025329280648429584599797365754812563323201418439716312056737588652482269503546099290780141843)
(Nn18) 1⅄∀φ3rd=(φn21cn/φn18cn)=(1.61803399852/1.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129)
(Nn19) 1⅄∀φ3rd=(φn22cn/φn19cn)=(1.6180339985010049351361227845806687374385163530970217431207747140526219623606797003471770509775260369084598940279554176959619952494246310067604604606248876201845441458249607162433948492782751690115110542682258359217979170473415128814180522565320665083135391923990498995066691028686278092454048985930933674403617759848364701260734516627078384799926913941183994154944291065229307509492545240288598574823679883062305865164445660515253974056276265302393568427005298739265485291430842335099579755161702905171752247414776521152932578110725379133930202813813265119678421523844346811620683354651927644821852731591449132103051342974604423716426274440178896400694319386077105773798647926365795724284672026310981/1.618034055731424148606811145510835913312693)
(Nn20) 1⅄∀φ3rd=(φn23cn/φn20cn)=(1.618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793292304217717802495624188357517983174298458585060132121280560103890237705381401388967308452374230704082208796792953531703461125853989046355372367455253797075263960250691660549940714810005081587713850149624527130032183388854384280955338490203828129411100446050477104624244819603636158319631867201174411382756479024335158940771272090791033820789339958218056575009880864999153068713229066681723222855852295183784088984247078087064536163965896900231494551408729038450680368132798825588617245152729941844051719270509852633956298345660324092371972220653830987894528823894754672237592456665349218000112924171418892213878380667381853085652984021229744226751736209135565467788380102760995991191914629326407217486307944215459319067246344079950313364575687425893512506351984642312687030688912540229236067980351194173112754785161763875557563096380780306024504545197899610411608604821862119586697532606854497205126757382417706510078482299136130094291434701597877025577324826379086443453221161989723900400880808537067359268251369205578454068093275365592004968663542431257410648749364801535768731296934108745977076393201964880582688724521483823612444243690361921969397549528541584326125007057760713680763367398791711365817853311501326859014171983513070972841736773755642256224944949466433290045734289424651346620744170289650499689458528598046411834453164699904014454293941618203376432725424877194963581954717407261024222234769352375876912653153407486872565072553780136639376658573767714979391338716052170967195528202811811868330416135571678617808141832759302128620631246118231607475580147930664558748800169386257156565363107673197447913725933035966347596917170120264242561120207780475410761673536220427982609677601490599062729377223197624809440460730619389080232623793122917980589464174806617356445147083733273107108576590819264863644063011687651741798882050702952967082604031392919654452035458189825532155157811529563548077465981593360058720569137823951216757947038563604539551691039466997910902828750494043249957653435317915419795607249731805092880130992038844785726384732652024165772683642933769973462819715995708881486082095872621534639789582745186607193269713737225453108237818305008187002427869/1.61803396316670629036115761779478593637885673283903372398947620186558239655584788327911265247548433389141353743123654628079406840468787371442238722793590050227218368811289165271466156421908634298014828988280315713944032525711552260224826596508012437215977038985864625687634537192059315953121262855776130112413298254006218607986127720640994977278163118631906242)
(Nn21) 1⅄∀φ3rd=(φn24cn/φn21cn)
(Nn22) 1⅄∀φ3rd=(φn25cn/φn22cn)
(Nn23) 1⅄∀φ3rd=(φn26cn/φn23cn)
(Nn24) 1⅄∀φ3rd=(φn27cn/φn24cn)
(Nn25) 1⅄∀φ3rd=(φn28cn/φn25cn)
(Nn26) 1⅄∀φ3rd=(φn29cn/φn26cn)
(Nn27) 1⅄∀φ3rd=(φn30cn/φn27cn)
(Nn28) 1⅄∀φ3rd=(φn31cn/φn28cn)
(Nn29) 1⅄∀φ3rd=(φn32cn/φn29cn)
(Nn30) 1⅄∀φ3rd=(φn33cn/φn30cn)
(Nn31) 1⅄∀φ3rd=(φn34cn/φn31cn)
(Nn32) 1⅄∀φ3rd=(φn35cn/φn32cn)
(Nn33) 1⅄∀φ3rd=(φn36cn/φn33cn)
(Nn34) 1⅄∀φ3rd=(φn37cn/φn34cn)
(Nn35) 1⅄∀φ3rd=(φn38cn/φn35cn)
(Nn36) 1⅄∀φ3rd=(φn39cn/φn36cn)
(Nn37) 1⅄∀φ3rd=(φn40cn/φn37cn)
(Nn38) 1⅄∀φ3rd=(φn41cn/φn38cn)
(Nn39) 1⅄∀φ3rd=(φn42cn/φn39cn)
(Nn40) 1⅄∀φ3rd=(φn43cn/φn40cn)
(Nn41) 1⅄∀φ3rd=(φn44cn/φn41cn)
(Nn42) 1⅄∀φ3rd=(φn45cn/φn42cn)
Then if
1⅄∀2nd=(n3/n1) then 1⅄∀Θ2nd=(Θn3cn/Θn1cn)
(Nn1) 1⅄∀Θ2nd=(Θn3cn/Θn1cn)=(0.5/0)=0
(Nn2) 1⅄∀Θ2nd=(Θn4cn/Θn2cn)=(0.6/1)=0.6 and (Nn2) 1⅄∀Θ2nd=(Θn4c2/Θn2cn)=(0.66/1)=0.66
and so on for cn variable factors of (Nn2) 1⅄∀Θ2nd
(Nn3) 1⅄∀Θ2nd=(Θn5cn/Θn3cn)=(0.6/0.5)=0.12
(Nn4) 1⅄∀Θ2nd=(Θn6cn/Θn4cn)=(0.625/0.6)=1.0416
and (Nn4) 1⅄∀Θ2nd=(Θn6cn/Θn4c2)=(0.625/0.66)=0.9469
(Nn5) 1⅄∀Θ2nd=(Θn7cn/Θn5cn)=(0.615384/0.6)=1.02564
(Nn6) 1⅄∀Θ2nd=(Θn8cn/Θn6cn)=(0.619047/0.625)=0.9904752
(Nn7) 1⅄∀Θ2nd=(Θn9cn/Θn7cn)=(0.61764705882352941/0.615384)=1.00367747426570955695
(Nn8) 1⅄∀Θ2nd=(Θn10cn/Θn8cn)=(0.618/0.619047)=0.998308690616382924075231767539459847152154844462536770229077921385613693306000
(Nn9) 1⅄∀Θ2nd=(Θn11cn/Θn9cn)=(0.6179775280878651685393258764044943820224719101123595505/0.61764705882352941)
(Nn10) 1⅄∀Θ2nd=(Θn12cn/Θn10cn)=(0.61805/0.618)
(Nn11) 1⅄∀Θ2nd=(Θn13cn/Θn11cn)=(0.618025755364806437768240343347639484978540772532206008583690987124463519313304721030042918454935622317596566/0.6179775280878651685393258764044943820224719101123595505)
(Nn12) 1⅄∀Θ2nd=(Θn14cn/Θn12cn)=(0.610079575596814323607427055702917771827585941644562334217506631294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257/0.61805)
(Nn13) 1⅄∀Θ2nd=(Θn15cn/Θn13cn)=(0.618032786885245901639344262295081967213114754098360655737749/0.618025755364806437768240343347639484978540772532206008583690987124463519313304721030042918454935622317596566)
(Nn14) 1⅄∀Θ2nd=(Θn16cn/Θn14cn)=(0.618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870/0.610079575596814323607427055702917771827585941644562334217506631294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257)
(Nn15) 1⅄∀Θ2nd=(Θn17cn/Θn15cn)=(0.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/0.618032786885245901639344262295081967213114754098360655737749)
(Nn16) 1⅄∀Θ2nd=(Θn18cn/Θn16cn)=(0.618034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743/0.618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870)
(Nn17) 1⅄∀Θ2nd=(Θn19cn/Θn17cn)=(0.618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936/0.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129)
(Nn18) 1⅄∀Θ2nd=(Θn20cn/Θn18cn)=(0.61803399852/0.618034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743)
(Nn19) 1⅄∀Θ2nd=(Θn21cn/Θn19cn)=(0.6180339850173579389731408733784030696144710396491869175954686643522748035812168828795907180705280467750776539375114196966928558377489493879042572629270966563128083318107071076192216334734149460990316097204458249588890919057189841037822035446738534624520372738900054814544125708021194957061940434862050063950301479992691394116572263840672391741275351726658139959802667641147451123698154577014434496619769778914672026310981/0.618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936)
(Nn20) 1⅄∀Θ2nd=(Θn22cn/Θn20cn)=(0.618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793348766303427248602563378691208853255039241149568065044322737281915193947264411947377336118796228332674609000056462085709446106939190333690926542826492010614872113375868104567782733894190051380497995595957314663203658743153972107729659533623172039975156682287843712946756253175992321156343515329456270114/0.61803399852)
(Nn21) 1⅄∀Θ2nd=(Θn23cn/Θn21cn)
(Nn22) 1⅄∀Θ2nd=(Θn24cn/Θn22cn)
(Nn23) 1⅄∀Θ2nd=(Θn25cn/Θn23cn)
(Nn24) 1⅄∀Θ2nd=(Θn26cn/Θn24cn)
(Nn25) 1⅄∀Θ2nd=(Θn27cn/Θn25cn)
(Nn26) 1⅄∀Θ2nd=(Θn28cn/Θn26cn)
(Nn27) 1⅄∀Θ2nd=(Θn29cn/Θn27cn)
(Nn28) 1⅄∀Θ2nd=(Θn30cn/Θn28cn)
(Nn29) 1⅄∀Θ2nd=(Θn31cn/Θn29cn)
(Nn30) 1⅄∀Θ2nd=(Θn32cn/Θn30cn)
(Nn31) 1⅄∀Θ2nd=(Θn33cn/Θn31cn)
(Nn32) 1⅄∀Θ2nd=(Θn34cn/Θn32cn)
(Nn33) 1⅄∀Θ2nd=(Θn35cn/Θn33cn)
(Nn34) 1⅄∀Θ2nd=(Θn36cn/Θn34cn)
(Nn35) 1⅄∀Θ2nd=(Θn37cn/Θn35cn)
(Nn36) 1⅄∀Θ2nd=(Θn38cn/Θn36cn)
(Nn37) 1⅄∀Θ2nd=(Θn39cn/Θn37cn)
(Nn38) 1⅄∀Θ2nd=(Θn40cn/Θn38cn)
(Nn39) 1⅄∀Θ2nd=(Θn41cn/Θn39cn)
(Nn40) 1⅄∀Θ2nd=(Θn42cn/Θn40cn)
(Nn41) 1⅄∀Θ2nd=(Θn43cn/Θn41cn)
(Nn42) 1⅄∀Θ2nd=(Θn44cn/Θn42cn)
(Nn43) 1⅄∀Θ2nd=(Θn45cn/Θn43cn)
And if
1⅄∀3rd=(n4/n1) then 1⅄∀Θ3rd=(Θn4cn/Θn1cn)
(Nn1) 1⅄∀Θ3rd=(Θn4cn/Θn1cn)=(0.6/0)=0
(Nn2) 1⅄∀Θ3rd=(Θn5cn/Θn2cn)=(0.6/1)=0.6
(Nn3) 1⅄∀Θ3rd=(Θn6cn/Θn3cn)=(0.625/0.5)=1.25
(Nn4) 1⅄∀Θ3rd=(Θn7cn/Θn4cn)=(0.615384/0.6)=1.02564 and (Nn4) 1⅄∀Θ3rd=(Θn7c2/Θn4cn)=(0.615384615384/0.6)=1.02564102564 while (Nn4) 1⅄∀Θ3rd=(Θn7cn/Θn4c2)=(0.615384/0.66)=0.9324 and so on for cn of (Nn4) 1⅄∀Θ3rd
(Nn5) 1⅄∀Θ3rd=(Θn8cn/Θn5cn)=(0.619047/0.6)=1.031745 and (Nn5) 1⅄∀Θ3rd=(Θn8cn/Θn5cn)=(0.619047/0.6)=1.031746031745
(Nn6) 1⅄∀Θ3rd=(Θn9cn/Θn6cn)=(0.61764705882352941/0.625)=0.988235294117647056 and (Nn6) 1⅄∀Θ3rd=(Θn9c2/Θn6cn)=(0.617647058823529411764705882352941/0.625)=0.9882352941176470588235294117647056 and so on for cn of (Nn6) 1⅄∀Θ3rd
(Nn7) 1⅄∀Θ3rd=(Θn10cn/Θn7cn)=(0.618/0.615384)=1.00425 and ((Nn7) 1⅄∀Θ3rd)c2=1.00425100425
(Nn8) 1⅄∀Θ3rd=(Θn11cn/Θn8cn)=(0.6179775280878651685393258764044943820224719101123595505/0.619047)=0.9982723897989412250432129974048729450630919948119602396910089217781525473833166140858448550756243063935371627679319987012294704
(Nn9) 1⅄∀Θ3rd=(Θn12cn/Θn9cn)=(0.61805/0.61764705882352941) and (Nn9) 1⅄∀Θ3rd=(Θn12c2/Θn9cn)=(0.618055/0.61764705882352941) and (Nn9) 1⅄∀Θ3rd=(Θn12cn/Θn9c2)=(0.61805/0.617647058823529411764705882352941) and so on for cn variables of (Nn9) 1⅄∀Θ3rd
(Nn10) 1⅄∀Θ3rd=(Θn13cn/Θn10cn)=(0.618025755364806437768240343347639484978540772532206008583690987124463519313304721030042918454935622317596566/0.618)=1.0000416753475832326346931122130088753698070752948317290998236037612678306040529466505548842312874147533925016181229773462783171521035598705
(Nn11) 1⅄∀Θ3rd=(Θn14cn/Θn11cn)=(0.610079575596814323607427055702917771827585941644562334217506631294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257/0.6179775280878651685393258764044943820224719101123595505)
(Nn12) 1⅄∀Θ3rd=(Θn15cn/Θn12cn)=(0.618032786885245901639344262295081967213114754098360655737749/0.61805)
(Nn13) 1⅄∀Θ3rd=(Θn16cn/Θn13cn)=(0.618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870/0.618025755364806437768240343347639484978540772532206008583690987124463519313304721030042918454935622317596566)
(Nn14) 1⅄∀Θ3rd=(Θn17cn/Θn14cn)=(0.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/0.610079575596814323607427055702917771827585941644562334217506631294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257)
(Nn15) 1⅄∀Θ3rd=(Θn18cn/Θn15cn)=(0.618034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743/0.618032786885245901639344262295081967213114754098360655737749)
(Nn16) 1⅄∀Θ3rd=(Θn19cn/Θn16cn)=(0.618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936/0.618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870)
(Nn17) 1⅄∀Θ3rd=(Θn20cn/Θn17cn)=(0.61803399852/0.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129)
(Nn18) 1⅄∀Θ3rd=(Θn21cn/Θn18cn)=(0.6180339850173579389731408733784030696144710396491869175954686643522748035812168828795907180705280467750776539375114196966928558377489493879042572629270966563128083318107071076192216334734149460990316097204458249588890919057189841037822035446738534624520372738900054814544125708021194957061940434862050063950301479992691394116572263840672391741275351726658139959802667641147451123698154577014434496619769778914672026310981/0.618034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743)
(Nn19) 1⅄∀Θ3rd=(Θn22cn/Θn19cn)=(0.618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793348766303427248602563378691208853255039241149568065044322737281915193947264411947377336118796228332674609000056462085709446106939190333690926542826492010614872113375868104567782733894190051380497995595957314663203658743153972107729659533623172039975156682287843712946756253175992321156343515329456270114/0.618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936)
(Nn20) 1⅄∀Θ3rd=(Θn23cn/Θn20cn)
(Nn21) 1⅄∀Θ3rd=(Θn24cn/Θn21cn)
(Nn22) 1⅄∀Θ3rd=(Θn25cn/Θn22cn)
(Nn23) 1⅄∀Θ3rd=(Θn26cn/Θn23cn)
(Nn24) 1⅄∀Θ3rd=(Θn27cn/Θn24cn)
(Nn25) 1⅄∀Θ3rd=(Θn28cn/Θn25cn)
(Nn26) 1⅄∀Θ3rd=(Θn29cn/Θn26cn)
(Nn27) 1⅄∀Θ3rd=(Θn30cn/Θn27cn)
(Nn28) 1⅄∀Θ3rd=(Θn31cn/Θn28cn)
(Nn29) 1⅄∀Θ3rd=(Θn32cn/Θn29cn)
(Nn30) 1⅄∀Θ3rd=(Θn33cn/Θn30cn)
(Nn31) 1⅄∀Θ3rd=(Θn34cn/Θn31cn)
(Nn32) 1⅄∀Θ3rd=(Θn35cn/Θn32cn)
(Nn33) 1⅄∀Θ3rd=(Θn36cn/Θn33cn)
(Nn34) 1⅄∀Θ3rd=(Θn37cn/Θn34cn)
(Nn35) 1⅄∀Θ3rd=(Θn38cn/Θn35cn)
(Nn36) 1⅄∀Θ3rd=(Θn39cn/Θn36cn)
(Nn37) 1⅄∀Θ3rd=(Θn40cn/Θn37cn)
(Nn38) 1⅄∀Θ3rd=(Θn41cn/Θn38cn)
(Nn39) 1⅄∀Θ3rd=(Θn42cn/Θn39cn)
(Nn40) 1⅄∀Θ3rd=(Θn43cn/Θn40cn)
(Nn41) 1⅄∀Θ3rd=(Θn44cn/Θn41cn)
(Nn42) 1⅄∀Θ3rd=(Θn45cn/Θn42cn)
Then if
1⅄∀2nd=(n3/n1) then 1⅄∀(1⅄Q)2nd=(1⅄Qn3cn/1⅄Qn1cn)
(Nn1) 1⅄∀(1⅄Q)2nd=(1⅄Qn3cn/1⅄Qn1cn)=(1.4/1.5)=0.93
(Nn2) 1⅄∀(1⅄Q)2nd=(1⅄Qn4cn/1⅄Qn2cn)=(1.571428/1.6)=0.9821425 and (Nn2) 1⅄∀(1⅄Q)2nd=(1⅄Qn4cn/1⅄Qn2c2)=(1.571428/1.66)=0.946643373493975903614457831325301204819277108 and (Nn2) 1⅄∀(1⅄Q)2nd=(1⅄Qn4c2/1⅄Qn2cn)=(1.571428571428/1.6)=0.9821428571425 while (Nn2) 1⅄∀(1⅄Q)2nd=(1⅄Qn4cn/1⅄Qn2cn)=(1.571428571428/1.66)=0.946643717727710843373493975903614457831325301204819 and so on for cn variables of (Nn2) 1⅄∀(1⅄Q)2nd
(Nn3) 1⅄∀(1⅄Q)2nd=(1⅄Qn5cn/1⅄Qn3cn)=(1.18/1.4)=0.84285714 and (Nn3) 1⅄∀(1⅄Q)2nd=(1⅄Qn5c2/1⅄Qn3cn)=(1.1818/1.4)=0.844142857 and (Nn3) 1⅄∀(1⅄Q)2nd=(1⅄Qn5c3/1⅄Qn3cn)=(1.181818/1.4)=0.84415571428 and so on for cn variables of (Nn3) 1⅄∀(1⅄Q)2nd
(Nn4) 1⅄∀(1⅄Q)2nd=(1⅄Qn6cn/1⅄Qn4cn)=(1.307692/1.571428)
(Nn5) 1⅄∀(1⅄Q)2nd=(1⅄Qn7cn/1⅄Qn5cn)=(1.1176470588235294/1.18)
(Nn6) 1⅄∀(1⅄Q)2nd=(1⅄Qn8cn/1⅄Qn6cn)=(1.210526315789473684/1.307692)
(Nn7) 1⅄∀(1⅄Q)2nd=(1⅄Qn9cn/1⅄Qn7cn)=(1.2608695652173913043478/1.1176470588235294)
(Nn8) 1⅄∀(1⅄Q)2nd=(1⅄Qn10cn/1⅄Qn8cn)=(1.0689655172413793103448275862/1.210526315789473684)
(Nn9) 1⅄∀(1⅄Q)2nd=(1⅄Qn11cn/1⅄Qn9cn)=(1.193548387096774/1.2608695652173913043478)
(Nn10) 1⅄∀(1⅄Q)2nd=(1⅄Qn12cn/1⅄Qn10cn)=(1.^108/1.0689655172413793103448275862)
(Nn11) 1⅄∀(1⅄Q)2nd=(1⅄Qn13cn/1⅄Qn11cn)=(1.^04878/1.193548387096774)
(Nn12) 1⅄∀(1⅄Q)2nd=(1⅄Qn14cn/1⅄Qn12cn)=(1.093023255813953488372/1.108)
(Nn13) 1⅄∀(1⅄Q)2nd=(1⅄Qn15cn/1⅄Qn13cn)=(1.12765957446808510638297872340425531914893610702/1.04878)
(Nn14) 1⅄∀(1⅄Q)2nd=(1⅄Qn16cn/1⅄Qn14cn)=(1.1132075471698/1.093023255813953488372)
(Nn15) 1⅄∀(1⅄Q)2nd=(1⅄Qn17cn/1⅄Qn15cn)=(1.0338983050847457627118644067796610169491525423728813559322/1.12765957446808510638297872340425531914893610702)
(Nn16) 1⅄∀(1⅄Q)2nd=(1⅄Qn18cn/1⅄Qn16cn)=(1.098360655737704918032786885245901639344262295081967213114754/1.1132075471698)
(Nn17) 1⅄∀(1⅄Q)2nd=(1⅄Qn19cn/1⅄Qn17cn)=(1.059701492537313432835820895522388/1.0338983050847457627118644067796610169491525423728813559322)
(Nn18) 1⅄∀(1⅄Q)2nd=(1⅄Qn20cn/1⅄Qn18cn)=(1.02816901408450704225352112676056338/1.098360655737704918032786885245901639344262295081967213114754)
(Nn19) 1⅄∀(1⅄Q)2nd=(1⅄Qn21cn/1⅄Qn19cn)=(1.08219178/1.059701492537313432835820895522388)
(Nn20) 1⅄∀(1⅄Q)2nd=(1⅄Qn22cn/1⅄Qn20cn)=(1.0506329113924/1.02816901408450704225352112676056338)
(Nn21) 1⅄∀(1⅄Q)2nd=(1⅄Qn23cn/1⅄Qn21cn)=(1.07228915662650602409638554216867469879518/1.08219178)
(Nn22) 1⅄∀(1⅄Q)2nd=(1⅄Qn24cn/1⅄Qn22cn)=(1.08988764044943820224719101123595505617977528/1.0506329113924)
(Nn23) 1⅄∀(1⅄Q)2nd=(1⅄Qn25cn/1⅄Qn23cn)=(1.04123092783505154639175257731958762886597938144329896907216494845360820618/1.07228915662650602409638554216867469879518)
(Nn24) 1⅄∀(1⅄Q)2nd=(1⅄Qn26cn/1⅄Qn24cn)=(1.0198/1.08988764044943820224719101123595505617977528)
(Nn25) 1⅄∀(1⅄Q)2nd=(1⅄Qn27cn/1⅄Qn25cn)=(1.0388349514563106796111662136504854368932/1.04123092783505154639175257731958762886597938144329896907216494845360820618)
(Nn26) 1⅄∀(1⅄Q)2nd=(1⅄Qn28cn/1⅄Qn26cn)=(1.01869158878504672897196261682242990654205607476635514/1.0198)
(Nn27) 1⅄∀(1⅄Q)2nd=(1⅄Qn29cn/1⅄Qn27cn)=(1.0366972477064220183486238532110091743119266055045871559633027522935779816513758712844/1.0388349514563106796111662136504854368932)
(Nn28) 1⅄∀(1⅄Q)2nd=(1⅄Qn30cn/1⅄Qn28cn)=(1.^123893805308849557522/1.^01869158878504672897196261682242990654205607476635514)
(Nn29) 1⅄∀(1⅄Q)2nd=(1⅄Qn31cn/1⅄Qn29cn)=(1.031496062992125984251968503937007874015748/1.0366972477064220183486238532110091743119266055045871559633027522935779816513758712844)
(Nn30) 1⅄∀(1⅄Q)2nd=(1⅄Qn32cn/1⅄Qn30cn)=(1.045801526717557251908396946564885496183206106870229007633587786259541984732824427480916030534351145038167938931297099236641221374/1.123893805308849557522)
(Nn31) 1⅄∀(1⅄Q)2nd=(1⅄Qn33cn/1⅄Qn31cn)=(1.01459854/1.031496062992125984251968503937007874015748)
(Nn32) 1⅄∀(1⅄Q)2nd=(1⅄Qn34cn/1⅄Qn32cn)=(1.071942446043165474820143884892086330935251798561151080291955395683453237410/1.045801526717557251908396946564885496183206106870229007633587786259541984732824427480916030534351145038167938931297099236641221374)
(Nn33) 1⅄∀(1⅄Q)2nd=(1⅄Qn35cn/1⅄Qn33cn)=(1.01343624295302/1.01459854)
(Nn34) 1⅄∀(1⅄Q)2nd=(1⅄Qn36cn/1⅄Qn34cn)=(1.0397350993377483443708609271523178807284768211920529801324503311258278145695364238410596026490066225165562913907218543046357615894/1.071942446043165474820143884892086330935251798561151080291955395683453237410)
(Nn35) 1⅄∀(1⅄Q)2nd=(1⅄Qn37cn/1⅄Qn35cn)=(1.038216560509554140127388535031847133757961783439490445859872611464968152866242/1.01343624295302)
(Nn36) 1⅄∀(1⅄Q)2nd=(1⅄Qn38cn/1⅄Qn36cn)=(1.024539877300613496932515337423312883435582822085889570552147239263803680981595092/1.0397350993377483443708609271523178807284768211920529801324503311258278145695364238410596026490066225165562913907218543046357615894)
(Nn37) 1⅄∀(1⅄Q)2nd=(1⅄Qn39cn/1⅄Qn37cn)=(1.0359281437125748502994011976047904191616766467065868263473053892215568862275449101796407185628742514970059880239520958083832335329341317365269461077844311377245508982/1.038216560509554140127388535031847133757961783439490445859872611464968152866242)
(Nn38) 1⅄∀(1⅄Q)2nd=(1⅄Qn40cn/1⅄Qn38cn)=(1.034682080924554913294797687861271676300578/1.024539877300613496932515337423312883435582822085889570552147239263803680981595092)
(Nn39) 1⅄∀(1⅄Q)2nd=(1⅄Qn41cn/1⅄Qn39cn)=(1.0111731843575418994413407821229050279329608936536312849162/1.0359281437125748502994011976047904191616766467065868263473053892215568862275449101796407185628742514970059880239520958083832335329341317365269461077844311377245508982)
(Nn40) 1⅄∀(1⅄Q)2nd=(1⅄Qn42cn/1⅄Qn40cn)=(1.005524861878453038674033149171270718232044198895027624309392265193370165745856353591160220994475138121546961325966850828729281767955801104972375690607734806629834254143646408839779/1.034682080924554913294797687861271676300578)
(Nn41) 1⅄∀(1⅄Q)2nd=(1⅄Qn43cn/1⅄Qn41cn)=(1.01047120418848167539267015706806282722513089005235602094240837696335078534031413612565445026178/1.0111731843575418994413407821229050279329608936536312849162)
(Nn42) 1⅄∀(1⅄Q)2nd=(1⅄Qn44cn/1⅄Qn42cn)=(1.02072538860103626943005181347150259067357512953367875647668393782383419689119170984455958549222797927461139896373069948186528497409326424870466321243523316062176165803108808290155440414507772/1.005524861878453038674033149171270718232044198895027624309392265193370165745856353591160220994475138121546961325966850828729281767955801104972375690607734806629834254143646408839779)
(Nn43) 1⅄∀(1⅄Q)2nd=(1⅄Qn45cn/1⅄Qn43cn)=(1.01015228426395939086294416243654822335025380710659898477157360406091370558375634517766497461928934/1.01047120418848167539267015706806282722513089005235602094240837696335078534031413612565445026178)
And if
1⅄∀3rd=(n4/n1) then 1⅄∀(1⅄Q)3rd=(1⅄Qn4cn/1⅄Qn1cn)
(Nn1) 1⅄∀(1⅄Q)3rd=(1⅄Qn4cn/1⅄Qn1cn)=(1.571428/1.5)=1.0476186 and (Nn1) 1⅄∀(1⅄Q)3rd=(1⅄Qn4c2/1⅄Qn1cn)=(1.571428571428/1.5)=1.0476190476186 and so on for cn variable of (Nn1) 1⅄∀(1⅄Q)3rd
(Nn2) 1⅄∀(1⅄Q)3rd=(1⅄Qn5cn/1⅄Qn2cn)=(1.18/1.6)=0.7375 and (Nn2) 1⅄∀(1⅄Q)3rd=(1⅄Qn5c2/1⅄Qn2cn)=(1.1818/1.6)=0.738625 and so on for cn variable of (Nn2) 1⅄∀(1⅄Q)3rd
(Nn3) 1⅄∀(1⅄Q)3rd=(1⅄Qn6cn/1⅄Qn3cn)=(1.307692/1.4)=0.93406571428 and (Nn3) 1⅄∀(1⅄Q)3rd=(1⅄Qn6c2/1⅄Qn3cn)=(1.307692307692/1.4)=0.934065934065714285 and so on for cn variable of (Nn3) 1⅄∀(1⅄Q)3rd
(Nn4) 1⅄∀(1⅄Q)3rd=(1⅄Qn7cn/1⅄Qn4cn)=(1.1176470588235294/1.571428)
(Nn5) 1⅄∀(1⅄Q)3rd=(1⅄Qn8cn/1⅄Qn5cn)=(1.210526315789473684/1.18)
(Nn6) 1⅄∀(1⅄Q)3rd=(1⅄Qn9cn/1⅄Qn6cn)=(1.2608695652173913043478/1.307692)
(Nn7) 1⅄∀(1⅄Q)3rd=(1⅄Qn10cn/1⅄Qn7cn)=(1.0689655172413793103448275862/1.1176470588235294)
(Nn8) 1⅄∀(1⅄Q)3rd=(1⅄Qn11cn/1⅄Qn8cn)=(1.193548387096774/1.210526315789473684)
(Nn9) 1⅄∀(1⅄Q)3rd=(1⅄Qn12cn/1⅄Qn9cn)=(1.108/1.2608695652173913043478)
(Nn10) 1⅄∀(1⅄Q)3rd=(1⅄Qn13cn/1⅄Qn10cn)=(1.04878/1.0689655172413793103448275862)
(Nn11) 1⅄∀(1⅄Q)3rd=(1⅄Qn14cn/1⅄Qn11cn)=(1.093023255813953488372/1.193548387096774)
(Nn12) 1⅄∀(1⅄Q)3rd=(1⅄Qn15cn/1⅄Qn12cn)=(1.12765957446808510638297872340425531914893610702/1.108)
(Nn13) 1⅄∀(1⅄Q)3rd=(1⅄Qn16cn/1⅄Qn13cn)=(1.1132075471698/1.0338983050847457627118644067796610169491525423728813559322)
(Nn14) 1⅄∀(1⅄Q)3rd=(1⅄Qn17cn/1⅄Qn14cn)=(1.0338983050847457627118644067796610169491525423728813559322/1.093023255813953488372)
(Nn15) 1⅄∀(1⅄Q)3rd=(1⅄Qn18cn/1⅄Qn15cn)=(1.098360655737704918032786885245901639344262295081967213114754/1.12765957446808510638297872340425531914893610702)
(Nn16) 1⅄∀(1⅄Q)3rd=(1⅄Qn19cn/1⅄Qn16cn)=(1.059701492537313432835820895522388/1.1132075471698)
(Nn17) 1⅄∀(1⅄Q)3rd=(1⅄Qn20cn/1⅄Qn17cn)=(1.02816901408450704225352112676056338/1.0338983050847457627118644067796610169491525423728813559322)
(Nn18) 1⅄∀(1⅄Q)3rd=(1⅄Qn21cn/1⅄Qn18cn)=(1.08219178/1.098360655737704918032786885245901639344262295081967213114754)
(Nn19) 1⅄∀(1⅄Q)3rd=(1⅄Qn22cn/1⅄Qn19cn)=(1.0506329113924/1.059701492537313432835820895522388)
(Nn20) 1⅄∀(1⅄Q)3rd=(1⅄Qn23cn/1⅄Qn20cn)=(1.07228915662650602409638554216867469879518/1.02816901408450704225352112676056338)
(Nn21) 1⅄∀(1⅄Q)3rd=(1⅄Qn24cn/1⅄Qn21cn)=(1.08988764044943820224719101123595505617977528/1.08219178)
(Nn22) 1⅄∀(1⅄Q)3rd=(1⅄Qn25cn/1⅄Qn22cn)=(1.04123092783505154639175257731958762886597938144329896907216494845360820618/1.0506329113924)
(Nn23) 1⅄∀(1⅄Q)3rd=(1⅄Qn26cn/1⅄Qn23cn)=(1.0198/1.07228915662650602409638554216867469879518)
(Nn24) 1⅄∀(1⅄Q)3rd=(1⅄Qn27cn/1⅄Qn24cn)=(1.0388349514563106796111662136504854368932/1.08988764044943820224719101123595505617977528)
(Nn25) 1⅄∀(1⅄Q)3rd=(1⅄Qn28cn/1⅄Qn25cn)=(1.01869158878504672897196261682242990654205607476635514/1.04123092783505154639175257731958762886597938144329896907216494845360820618)
(Nn26) 1⅄∀(1⅄Q)3rd=(1⅄Qn29cn/1⅄Qn26cn)=(1.0366972477064220183486238532110091743119266055045871559633027522935779816513758712844/1.0198)
(Nn27) 1⅄∀(1⅄Q)3rd=(1⅄Qn30cn/1⅄Qn27cn)=(1.123893805308849557522/1.0388349514563106796111662136504854368932)
(Nn28) 1⅄∀(1⅄Q)3rd=(1⅄Qn31cn/1⅄Qn28cn)=(1.031496062992125984251968503937007874015748/1.01869158878504672897196261682242990654205607476635514)
(Nn29) 1⅄∀(1⅄Q)3rd=(1⅄Qn32cn/1⅄Qn29cn)=(1.045801526717557251908396946564885496183206106870229007633587786259541984732824427480916030534351145038167938931297099236641221374/1.0366972477064220183486238532110091743119266055045871559633027522935779816513758712844)
(Nn30) 1⅄∀(1⅄Q)3rd=(1⅄Qn33cn/1⅄Qn30cn)=(1.01459854/1.123893805308849557522)
(Nn31) 1⅄∀(1⅄Q)3rd=(1⅄Qn34cn/1⅄Qn31cn)=(1.071942446043165474820143884892086330935251798561151080291955395683453237410/1.031496062992125984251968503937007874015748)
(Nn32) 1⅄∀(1⅄Q)3rd=(1⅄Qn35cn/1⅄Qn32cn)=(1.01343624295302/1.045801526717557251908396946564885496183206106870229007633587786259541984732824427480916030534351145038167938931297099236641221374)
(Nn33) 1⅄∀(1⅄Q)3rd=(1⅄Qn36cn/1⅄Qn33cn)=(1.0397350993377483443708609271523178807284768211920529801324503311258278145695364238410596026490066225165562913907218543046357615894/1.01459854)
(Nn34) 1⅄∀(1⅄Q)3rd=(1⅄Qn37cn/1⅄Qn34cn)=(1.038216560509554140127388535031847133757961783439490445859872611464968152866242/1.071942446043165474820143884892086330935251798561151080291955395683453237410)
(Nn35) 1⅄∀(1⅄Q)3rd=(1⅄Qn38cn/1⅄Qn35cn)=(1.024539877300613496932515337423312883435582822085889570552147239263803680981595092/1.01343624295302)
(Nn36) 1⅄∀(1⅄Q)3rd=(1⅄Qn39cn/1⅄Qn36cn)=(1.0359281437125748502994011976047904191616766467065868263473053892215568862275449101796407185628742514970059880239520958083832335329341317365269461077844311377245508982/1.0397350993377483443708609271523178807284768211920529801324503311258278145695364238410596026490066225165562913907218543046357615894)
(Nn37) 1⅄∀(1⅄Q)3rd=(1⅄Qn40cn/1⅄Qn37cn)=(1.034682080924554913294797687861271676300578/1.038216560509554140127388535031847133757961783439490445859872611464968152866242)
(Nn38) 1⅄∀(1⅄Q)3rd=(1⅄Qn41cn/1⅄Qn38cn)=(1.0111731843575418994413407821229050279329608936536312849162/1.024539877300613496932515337423312883435582822085889570552147239263803680981595092)
(Nn39) 1⅄∀(1⅄Q)3rd=(1⅄Qn42cn/1⅄Qn39cn)=(1.005524861878453038674033149171270718232044198895027624309392265193370165745856353591160220994475138121546961325966850828729281767955801104972375690607734806629834254143646408839779/1.0359281437125748502994011976047904191616766467065868263473053892215568862275449101796407185628742514970059880239520958083832335329341317365269461077844311377245508982)
(Nn40) 1⅄∀(1⅄Q)3rd=(1⅄Qn43cn/1⅄Qn40cn)=(1.01047120418848167539267015706806282722513089005235602094240837696335078534031413612565445026178/1.034682080924554913294797687861271676300578)
(Nn41) 1⅄∀(1⅄Q)3rd=(1⅄Qn44cn/1⅄Qn41cn)=(1.02072538860103626943005181347150259067357512953367875647668393782383419689119170984455958549222797927461139896373069948186528497409326424870466321243523316062176165803108808290155440414507772/1.0111731843575418994413407821229050279329608936536312849162)
(Nn42) 1⅄∀(1⅄Q)3rd=(1⅄Qn45cn/1⅄Qn42cn)=(1.01015228426395939086294416243654822335025380710659898477157360406091370558375634517766497461928934/1.005524861878453038674033149171270718232044198895027624309392265193370165745856353591160220994475138121546961325966850828729281767955801104972375690607734806629834254143646408839779)
Then if
1⅄∀2nd=(n3/n1) then 1⅄∀(2⅄Q)2nd=(2⅄Qn3cn/2⅄Qn1cn)
(Nn1) 1⅄∀(2⅄Q)2nd=(2⅄Qn3cn/2⅄Qn1cn)=(0.714285/0.6)
(Nn2) 1⅄∀(2⅄Q)2nd=(2⅄Qn4cn/2⅄Qn2cn)=(0.63/0.6)
(Nn3) 1⅄∀(2⅄Q)2nd=(2⅄Qn5cn/2⅄Qn3cn)=(0.846153/0.714285)
(Nn4) 1⅄∀(2⅄Q)2nd=(2⅄Qn6cn/2⅄Qn4cn)=(0.7647058823529411/0.63)
(Nn5) 1⅄∀(2⅄Q)2nd=(2⅄Qn7cn/2⅄Qn5cn)=(0.894736842105263157/0.846153)
(Nn6) 1⅄∀(2⅄Q)2nd=(2⅄Qn8cn/2⅄Qn6cn)=(0.8260869565217391304347/0.7647058823529411 )
(Nn7) 1⅄∀(2⅄Q)2nd=(2⅄Qn9cn/2⅄Qn7cn)=(0.7931034482758620689655172413/0.894736842105263157)
(Nn8) 1⅄∀(2⅄Q)2nd=(2⅄Qn10cn/2⅄Qn8cn)=(0.935483870967741/0.8260869565217391304347)
(Nn9) 1⅄∀(2⅄Q)2nd=(2⅄Qn11cn/2⅄Qn9cn)=(0.837/0.7931034482758620689655172413)
(Nn10) 1⅄∀(2⅄Q)2nd=(2⅄Qn12cn/2⅄Qn10cn)=(0.9024390243/0.935483870967741)
(Nn11) 1⅄∀(2⅄Q)2nd=(2⅄Qn13cn/2⅄Qn11cn)=(0.953488372093023255813/0.837)
(Nn12) 1⅄∀(2⅄Q)2nd=(2⅄Qn14cn/2⅄Qn12cn)=(0.9148936170212765957446808510638297872340425531/0.9024390243)
(Nn13) 1⅄∀(2⅄Q)2nd=(2⅄Qn15cn/2⅄Qn13cn)=(0.88679245283018867924528301/0.953488372093023255813)
(Nn14) 1⅄∀(2⅄Q)2nd=(2⅄Qn16cn/2⅄Qn14cn)=(0.8983050847457627118644067796610169491525423728813559322033/0.9148936170212765957446808510638297872340425531)
(Nn15) 1⅄∀(2⅄Q)2nd=(2⅄Qn17cn/2⅄Qn15cn)=(0.967213114754098360655737704918032786885245901639344262295081/0.88679245283018867924528301)
(Nn16) 1⅄∀(2⅄Q)2nd=(2⅄Qn18cn/2⅄Qn16cn)=(0.910447761194029850746268656716417/0.8983050847457627118644067796610169491525423728813559322033)
(Nn17) 1⅄∀(2⅄Q)2nd=(2⅄Qn19cn/2⅄Qn17cn)=(0.94366197183098591549295774647887323/0.967213114754098360655737704918032786885245901639344262295081)
(Nn18) 1⅄∀(2⅄Q)2nd=(2⅄Qn20cn/2⅄Qn18cn)=(0.97260273/0.910447761194029850746268656716417)
(Nn19) 1⅄∀(2⅄Q)2nd=(2⅄Qn21cn/2⅄Qn19cn)=(0.9240506329113/0.94366197183098591549295774647887323)
(Nn20) 1⅄∀(2⅄Q)2nd=(2⅄Qn22cn/2⅄Qn20cn)=(0.95180722891566265060240963855421686746987/0.97260273)
(Nn21) 1⅄∀(2⅄Q)2nd=(2⅄Qn23cn/2⅄Qn21cn)=(0.93258426966292134831460674157303370786516853/0.9240506329113)
(Nn22) 1⅄∀(2⅄Q)2nd=(2⅄Qn24cn/2⅄Qn22cn)=(0.917525773195876288659793814432989690721649484536082474226804123711340206185567010309278350515463/0.95180722891566265060240963855421686746987)
(Nn23) 1⅄∀(2⅄Q)2nd=(2⅄Qn25cn/2⅄Qn23cn)=(0.9603/0.93258426966292134831460674157303370786516853)
(Nn24) 1⅄∀(2⅄Q)2nd=(2⅄Qn26cn/2⅄Qn24cn)=(0.9805825242718446601941747572815533/0.917525773195876288659793814432989690721649484536082474226804123711340206185567010309278350515463)
(Nn25) 1⅄∀(2⅄Q)2nd=(2⅄Qn27cn/2⅄Qn25cn)=(0.96261682242990654205607476635514018691588785046728971/0.9603)
(Nn26) 1⅄∀(2⅄Q)2nd=(2⅄Qn28cn/2⅄Qn26cn)=(0.0981651376146788990825688073394495412844036697247706422018348623853211009174311926605504587155963302752293577/0.9805825242718446601941747572815533)
(Nn27) 1⅄∀(2⅄Q)2nd=(2⅄Qn29cn/2⅄Qn27cn)=(0.9646017699115044247787610619469026548672566371681415929203539823008849557522123893805309734513274336283185840707/0.96261682242990654205607476635514018691588785046728971)
(Nn28) 1⅄∀(2⅄Q)2nd=(2⅄Qn30cn/2⅄Qn28cn)=(0.88976377952755905511811023622047244094481/0.0981651376146788990825688073394495412844036697247706422018348623853211009174311926605504587155963302752293577)
(Nn29) 1⅄∀(2⅄Q)2nd=(2⅄Qn31cn/2⅄Qn29cn)=(0.969465648854961832061068015267175572519083/0.9646017699115044247787610619469026548672566371681415929203539823008849557522123893805309734513274336283185840707)
(Nn30) 1⅄∀(2⅄Q)2nd=(2⅄Qn32cn/2⅄Qn30cn)=(0.95620437/0.88976377952755905511811023622047244094481)
(Nn31) 1⅄∀(2⅄Q)2nd=(2⅄Qn33cn/2⅄Qn31cn)=(0.9856115107913669064748201438848920863309352517/0.969465648854961832061068015267175572519083)
(Nn32) 1⅄∀(2⅄Q)2nd=(2⅄Qn34cn/2⅄Qn32cn)=(0.932885906040268456375838926174496651006711409395973154362416107382550335570469798657718120805369127516778523489/0.95620437)
(Nn33) 1⅄∀(2⅄Q)2nd=(2⅄Qn35cn/2⅄Qn33cn)=(0.986754966887417218543046357615894039735099337748344370860927152317880794701/0.9856115107913669064748201438848920863309352517)
(Nn34) 1⅄∀(2⅄Q)2nd=(2⅄Qn36cn/2⅄Qn34cn)=(0.961783439490445859872611464968152866242038216560509554140127388535031847133757/0.932885906040268456375838926174496651006711409395973154362416107382550335570469798657718120805369127516778523489)
(Nn35) 1⅄∀(2⅄Q)2nd=(2⅄Qn37cn/2⅄Qn35cn)=(0.963190184049079754601226993865030674846625766871165644171779141104294478527607361/0.986754966887417218543046357615894039735099337748344370860927152317880794701)
(Nn36) 1⅄∀(2⅄Q)2nd=(2⅄Qn38cn/2⅄Qn36cn)=(0.9760479041916167664670658682634730538922155688622754491017964071856287425149700598802395209580838323353293413173652694610778443113772455089820359281437125748502994011/0.961783439490445859872611464968152866242038216560509554140127388535031847133757)
(Nn37) 1⅄∀(2⅄Q)2nd=(2⅄Qn39cn/2⅄Qn37cn)=(0.9653179190751445086705202312138728323699421/0.963190184049079754601226993865030674846625766871165644171779141104294478527607361)
(Nn38) 1⅄∀(2⅄Q)2nd=(2⅄Qn40cn/2⅄Qn38cn)=(0.96648044692737430167597765363128491620111731843575418994413407821229050279329608938547486033519553072625698324022346336871508379888268156424581005586592178770949720670391061452513/0.9760479041916167664670658682634730538922155688622754491017964071856287425149700598802395209580838323353293413173652694610778443113772455089820359281437125748502994011)
(Nn39) 1⅄∀(2⅄Q)2nd=(2⅄Qn41cn/2⅄Qn39cn)=(0.^9889502762430939226519337016574585635359116022099447513812154696132596685082877292817679558011049723756906077348066298342541436464088397790055248618784530386740331491712707182320441/0.^9653179190751445086705202312138728323699421)
(Nn40) 1⅄∀(2⅄Q)2nd=(2⅄Qn42cn/2⅄Qn40cn)=(0.94764397905759162303664921465968586387434554973821989528795811518324607329842931937172774869109/0.96648044692737430167597765363128491620111731843575418994413407821229050279329608938547486033519553072625698324022346336871508379888268156424581005586592178770949720670391061452513)
(Nn41) 1⅄∀(2⅄Q)2nd=(2⅄Qn43cn/2⅄Qn41cn)=(0.989637304699481864284974093264248704663212435233160621761658031088082901554404145077720207253886010362694300518134715025906735751295336787564766839378238341917098445595854922279792746113/0.9889502762430939226519337016574585635359116022099447513812154696132596685082877292817679558011049723756906077348066298342541436464088397790055248618784530386740331491712707182320441)
(Nn42) 1⅄∀(2⅄Q)2nd=(2⅄Qn44cn/2⅄Qn42cn)=(0.979695431/0.94764397905759162303664921465968586387434554973821989528795811518324607329842931937172774869109)
(Nn43) 1⅄∀(2⅄Q)2nd=(2⅄Qn45cn/2⅄Qn43cn)=(0.989949748743718592964824120603015075025125628140703517587939698492462311557763819095477386934673366834170854271356783919597/0.989637304699481864284974093264248704663212435233160621761658031088082901554404145077720207253886010362694300518134715025906735751295336787564766839378238341917098445595854922279792746113)
And if
1⅄∀3rd=(n4/n1) then 1⅄∀(2⅄Q)3rd=(2⅄Qn4cn/2⅄Qn1cn)
(Nn1) 1⅄∀(2⅄Q)3rd=(2⅄Qn4cn/2⅄Qn1cn)=(0.63/0.6)
(Nn2) 1⅄∀(2⅄Q)3rd=(2⅄Qn5cn/2⅄Qn2cn)=(0.846153/0.6)
(Nn3) 1⅄∀(2⅄Q)3rd=(2⅄Qn6cn/2⅄Qn3cn)=(0.7647058823529411/0.714285)
(Nn4) 1⅄∀(2⅄Q)3rd=(2⅄Qn7cn/2⅄Qn4cn)=(0.894736842105263157/0.63)
(Nn5) 1⅄∀(2⅄Q)3rd=(2⅄Qn8cn/2⅄Qn5cn)=(0.8260869565217391304347/0.846153)
(Nn6) 1⅄∀(2⅄Q)3rd=(2⅄Qn9cn/2⅄Qn6cn)=(0.7931034482758620689655172413/0.7647058823529411)
(Nn7) 1⅄∀(2⅄Q)3rd=(2⅄Qn10cn/2⅄Qn7cn)=(0.935483870967741/0.894736842105263157)
(Nn8) 1⅄∀(2⅄Q)3rd=(2⅄Qn11cn/2⅄Qn8cn)=(0.837/0.8260869565217391304347)
(Nn9) 1⅄∀(2⅄Q)3rd=(2⅄Qn12cn/2⅄Qn9cn)=(0.9024390243/0.7931034482758620689655172413)
(Nn10) 1⅄∀(2⅄Q)3rd=(2⅄Qn13cn/2⅄Qn10cn)=(0.953488372093023255813/0.935483870967741)
(Nn11) 1⅄∀(2⅄Q)3rd=(2⅄Qn14cn/2⅄Qn11cn)=(0.9148936170212765957446808510638297872340425531/0.837)
(Nn12) 1⅄∀(2⅄Q)3rd=(2⅄Qn15cn/2⅄Qn12cn)=(0.88679245283018867924528301/0.9024390243)
(Nn13) 1⅄∀(2⅄Q)3rd=(2⅄Qn16cn/2⅄Qn13cn)=(0.8983050847457627118644067796610169491525423728813559322033/0.953488372093023255813)
(Nn14) 1⅄∀(2⅄Q)3rd=(2⅄Qn17cn/2⅄Qn14cn)=(0.967213114754098360655737704918032786885245901639344262295081/0.9148936170212765957446808510638297872340425531)
(Nn15) 1⅄∀(2⅄Q)3rd=(2⅄Qn18cn/2⅄Qn15cn)=(0.910447761194029850746268656716417/0.88679245283018867924528301)
(Nn16) 1⅄∀(2⅄Q)3rd=(2⅄Qn19cn/2⅄Qn16cn)=(0.94366197183098591549295774647887323/0.8983050847457627118644067796610169491525423728813559322033)
(Nn17) 1⅄∀(2⅄Q)3rd=(2⅄Qn20cn/2⅄Qn17cn)=(0.97260273/0.967213114754098360655737704918032786885245901639344262295081)
(Nn18) 1⅄∀(2⅄Q)3rd=(2⅄Qn21cn/2⅄Qn18cn)=(0.9240506329113/0.910447761194029850746268656716417)
(Nn19) 1⅄∀(2⅄Q)3rd=(2⅄Qn22cn/2⅄Qn19cn)=(0.95180722891566265060240963855421686746987/0.94366197183098591549295774647887323)
(Nn20) 1⅄∀(2⅄Q)3rd=(2⅄Qn23cn/2⅄Qn20cn)=(0.93258426966292134831460674157303370786516853/0.97260273)
(Nn21) 1⅄∀(2⅄Q)3rd=(2⅄Qn24cn/2⅄Qn21cn)=(0.917525773195876288659793814432989690721649484536082474226804123711340206185567010309278350515463/0.9240506329113)
(Nn22) 1⅄∀(2⅄Q)3rd=(2⅄Qn25cn/2⅄Qn22cn)=(0.9603/0.95180722891566265060240963855421686746987)
(Nn23) 1⅄∀(2⅄Q)3rd=(2⅄Qn26cn/2⅄Qn23cn)=(0.9805825242718446601941747572815533/0.93258426966292134831460674157303370786516853)
(Nn24) 1⅄∀(2⅄Q)3rd=(2⅄Qn27cn/2⅄Qn24cn)=(0.96261682242990654205607476635514018691588785046728971/0.917525773195876288659793814432989690721649484536082474226804123711340206185567010309278350515463)
(Nn25) 1⅄∀(2⅄Q)3rd=(2⅄Qn28cn/2⅄Qn25cn)=(0.0981651376146788990825688073394495412844036697247706422018348623853211009174311926605504587155963302752293577/0.9603)
(Nn26) 1⅄∀(2⅄Q)3rd=(2⅄Qn29cn/2⅄Qn26cn)=(0.9646017699115044247787610619469026548672566371681415929203539823008849557522123893805309734513274336283185840707/0.9805825242718446601941747572815533)
(Nn27) 1⅄∀(2⅄Q)3rd=(2⅄Qn30cn/2⅄Qn27cn)=(0.88976377952755905511811023622047244094481/0.96261682242990654205607476635514018691588785046728971)
(Nn28) 1⅄∀(2⅄Q)3rd=(2⅄Qn31cn/2⅄Qn28cn)=(0.969465648854961832061068015267175572519083/0.0981651376146788990825688073394495412844036697247706422018348623853211009174311926605504587155963302752293577)
(Nn29) 1⅄∀(2⅄Q)3rd=(2⅄Qn32cn/2⅄Qn29cn)=(0.95620437/0.9646017699115044247787610619469026548672566371681415929203539823008849557522123893805309734513274336283185840707)
(Nn30) 1⅄∀(2⅄Q)3rd=(2⅄Qn33cn/2⅄Qn30cn)=(0.9856115107913669064748201438848920863309352517/0.88976377952755905511811023622047244094481)
(Nn31) 1⅄∀(2⅄Q)3rd=(2⅄Qn34cn/2⅄Qn31cn)=(0.932885906040268456375838926174496651006711409395973154362416107382550335570469798657718120805369127516778523489/0.969465648854961832061068015267175572519083)
(Nn32) 1⅄∀(2⅄Q)3rd=(2⅄Qn35cn/2⅄Qn32cn)=(0.986754966887417218543046357615894039735099337748344370860927152317880794701/0.95620437)
(Nn33) 1⅄∀(2⅄Q)3rd=(2⅄Qn36cn/2⅄Qn33cn)=(0.961783439490445859872611464968152866242038216560509554140127388535031847133757/0.9856115107913669064748201438848920863309352517)
(Nn34) 1⅄∀(2⅄Q)3rd=(2⅄Qn37cn/2⅄Qn34cn)=(0.963190184049079754601226993865030674846625766871165644171779141104294478527607361/0.932885906040268456375838926174496651006711409395973154362416107382550335570469798657718120805369127516778523489)
(Nn35) 1⅄∀(2⅄Q)3rd=(2⅄Qn38cn/2⅄Qn35cn)=(0.9760479041916167664670658682634730538922155688622754491017964071856287425149700598802395209580838323353293413173652694610778443113772455089820359281437125748502994011/0.986754966887417218543046357615894039735099337748344370860927152317880794701)
(Nn36) 1⅄∀(2⅄Q)3rd=(2⅄Qn39cn/2⅄Qn36cn)=(0.9653179190751445086705202312138728323699421/0.961783439490445859872611464968152866242038216560509554140127388535031847133757)
(Nn37) 1⅄∀(2⅄Q)3rd=(2⅄Qn40cn/2⅄Qn37cn)=(0.96648044692737430167597765363128491620111731843575418994413407821229050279329608938547486033519553072625698324022346336871508379888268156424581005586592178770949720670391061452513/0.963190184049079754601226993865030674846625766871165644171779141104294478527607361)
(Nn38) 1⅄∀(2⅄Q)3rd=(2⅄Qn41cn/2⅄Qn38cn)=(0.9889502762430939226519337016574585635359116022099447513812154696132596685082877292817679558011049723756906077348066298342541436464088397790055248618784530386740331491712707182320441/0.9760479041916167664670658682634730538922155688622754491017964071856287425149700598802395209580838323353293413173652694610778443113772455089820359281437125748502994011)
(Nn39) 1⅄∀(2⅄Q)3rd=(2⅄Qn42cn/2⅄Qn39cn)=(0.94764397905759162303664921465968586387434554973821989528795811518324607329842931937172774869109/0.9653179190751445086705202312138728323699421)
(Nn40) 1⅄∀(2⅄Q)3rd=(2⅄Qn43cn/2⅄Qn40cn)=(0.989637304699481864284974093264248704663212435233160621761658031088082901554404145077720207253886010362694300518134715025906735751295336787564766839378238341917098445595854922279792746113/0.96648044692737430167597765363128491620111731843575418994413407821229050279329608938547486033519553072625698324022346336871508379888268156424581005586592178770949720670391061452513)
(Nn41) 1⅄∀(2⅄Q)3rd=(2⅄Qn44cn/2⅄Qn41cn)=(0.979695431/0.9889502762430939226519337016574585635359116022099447513812154696132596685082877292817679558011049723756906077348066298342541436464088397790055248618784530386740331491712707182320441)
(Nn42) 1⅄∀(2⅄Q)3rd=(2⅄Qn45cn/2⅄Qn42cn)=(0.989949748743718592964824120603015075025125628140703517587939698492462311557763819095477386934673366834170854271356783919597/0.94764397905759162303664921465968586387434554973821989528795811518324607329842931937172774869109)
ALTERNATE PATH
if
2⅄∀2nd=(n1/n3) then 2⅄∀φ2nd=(φn1cn/φn3cn) rather than 1⅄∀2nd=(n3/n1) being 1⅄∀φ2nd=(φn3cn/φn1cn)
so
(Nn1) 2⅄∀φ2nd=(φn1cn/φn3cn)=(0/2)=0
(Nn2) 2⅄∀φ2nd=(φn2cn/φn4cn)=(1/1.5)=0.6 or 0.66 or 0.666 or 0.6666 . . . and so on
(Nn3) 2⅄∀φ2nd=(φn3cn/φn5cn)=(2/1.6)=1.25 and (Nn3) 2⅄∀φ2nd=(φn3cn/φn5c2)=(2/1.66)=1.204819277108433734939759036144578313253012048192771084337349397590361445783132530
or 1.2048192771084337349397590361445783132530120481927710843373493975903614457831325301204819277108433734939759036144578313253012048192771084337349397590361445783132530
and (Nn3) 2⅄∀φ2nd=(φn3cn/φn5c3)=(2/1.666)=1.20048019207683073229291716686674669867947178871548619447779111644657863145258103241296518607442977190876350540216086434573829531812725090036014405762304921968787515006002400960384153661464585834333733493397358943577430972388955582232893157262905162064825930372148859543817527010804321728691476590636254501800720288115246098439375750300
or
1.20048019207683073229291716686674669867947178871548619447779111644657863145258103241296518607442977190876350540216086434573829531812725090036014405762304921968787515006002400960384153661464585834333733493397358943577430972388955582232893157262905162064825930372148859543817527010804321728691476590636254501800720288115246098439375750300120048019207683073229291716686674669867947178871548619447779111644657863145258103241296518607442977190876350540216086434573829531812725090036014405762304921968787515006002400960384153661464585834333733493397358943577430972388955582232893157262905162064825930372148859543817527010804321728691476590636254501800720288115246098439375750300 . . . and so on
(Nn4) 2⅄∀φ2nd=(φn4cn/φn6cn)=(1.5/1.6)=0.9375
(Nn5) 2⅄∀φ2nd=(φn5cn/φn7cn)=(1.6/1.625)=0.9846153 and (Nn5) 2⅄∀φ2nd=(φn5c2/φn7cn)=(1.66/1.625)=1.02153846 and (Nn5) 2⅄∀φ2nd=(φn5c3/φn7cn)=(1.666/1.625)=1.025230769 and so on for cn variable of (Nn5) 2⅄∀φ2nd
(Nn6) 2⅄∀φ2nd=(φn6cn/φn8cn)=(1.6/1.615384)
(Nn7) 2⅄∀φ2nd=(φn7cn/φn9cn)=(1.625/1.619047)
(Nn8) 2⅄∀φ2nd=(φn8cn/φn10cn)=(1.615384/1.61762941)
(Nn9) 2⅄∀φ2nd=(φn9cn/φn11cn)=(1.619047/1.618)
(Nn10) 2⅄∀φ2nd=(φn10cn/φn12cn)=(1.61762941/1.61797752808988764044943820224719101123595505)
(Nn11) 2⅄∀φ2nd=(φn11cn/φn13cn)=(1.618/1.61805)
(Nn12) 2⅄∀φ2nd=(φn12cn/φn14cn)=(1.61797752808988764044943820224719101123595505/1.61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832)
(Nn13) 2⅄∀φ2nd=(φn13cn/φn15cn)=(1.61805/1.61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832)
(Nn14) 2⅄∀φ2nd=(φn14cn/φn16cn)=(1.61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832/1.618032786885245901639344262295081967213114754098360655737704918)
(Nn15) 2⅄∀φ2nd=(φn15cn/φn17cn)=(1.61830223896551724135014/1.618032786885245901639344262295081967213114754098360655737704918)
(Nn16) 2⅄∀φ2nd=(φn16cn/φn18cn)=(1.618032786885245901639344262295081967213114754098360655737704918/1.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129)
(Nn17) 2⅄∀φ2nd=(φn17cn/φn19cn)=(1.6180344478216818642350572441742654508601925025329280648429584599797365754812563323201418439716312056737588652482269503546099290780141843/1.618034055731424148606811145510835913312693)
(Nn18) 2⅄∀φ2nd=(φn18cn/φn20cn)=(1.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/1.61803396316670629036115761779478593637885673283903372398947620186558239655584788327911265247548433389141353743123654628079406840468787371442238722793590050227218368811289165271466156421908634298014828988280315713944032525711552260224826596508012437215977038985864625687634537192059315953121262855776130112413298254006218607986127720640994977278163118631906242)
(Nn19) 2⅄∀φ2nd=(φn19cn/φn21cn)=(1.618034055731424148606811145510835913312693/1.61803399852)
(Nn20) 2⅄∀φ2nd=(φn20cn/φn22cn)=(1.61803396316670629036115761779478593637885673283903372398947620186558239655584788327911265247548433389141353743123654628079406840468787371442238722793590050227218368811289165271466156421908634298014828988280315713944032525711552260224826596508012437215977038985864625687634537192059315953121262855776130112413298254006218607986127720640994977278163118631906242/1.6180339985010049351361227845806687374385163530970217431207747140526219623606797003471770509775260369084598940279554176959619952494246310067604604606248876201845441458249607162433948492782751690115110542682258359217979170473415128814180522565320665083135391923990498995066691028686278092454048985930933674403617759848364701260734516627078384799926913941183994154944291065229307509492545240288598574823679883062305865164445660515253974056276265302393568427005298739265485291430842335099579755161702905171752247414776521152932578110725379133930202813813265119678421523844346811620683354651927644821852731591449132103051342974604423716426274440178896400694319386077105773798647926365795724284672026310981)
(Nn21) 2⅄∀φ2nd=(φn21cn/φn23cn)=(1.61803399852/1.618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793292304217717802495624188357517983174298458585060132121280560103890237705381401388967308452374230704082208796792953531703461125853989046355372367455253797075263960250691660549940714810005081587713850149624527130032183388854384280955338490203828129411100446050477104624244819603636158319631867201174411382756479024335158940771272090791033820789339958218056575009880864999153068713229066681723222855852295183784088984247078087064536163965896900231494551408729038450680368132798825588617245152729941844051719270509852633956298345660324092371972220653830987894528823894754672237592456665349218000112924171418892213878380667381853085652984021229744226751736209135565467788380102760995991191914629326407217486307944215459319067246344079950313364575687425893512506351984642312687030688912540229236067980351194173112754785161763875557563096380780306024504545197899610411608604821862119586697532606854497205126757382417706510078482299136130094291434701597877025577324826379086443453221161989723900400880808537067359268251369205578454068093275365592004968663542431257410648749364801535768731296934108745977076393201964880582688724521483823612444243690361921969397549528541584326125007057760713680763367398791711365817853311501326859014171983513070972841736773755642256224944949466433290045734289424651346620744170289650499689458528598046411834453164699904014454293941618203376432725424877194963581954717407261024222234769352375876912653153407486872565072553780136639376658573767714979391338716052170967195528202811811868330416135571678617808141832759302128620631246118231607475580147930664558748800169386257156565363107673197447913725933035966347596917170120264242561120207780475410761673536220427982609677601490599062729377223197624809440460730619389080232623793122917980589464174806617356445147083733273107108576590819264863644063011687651741798882050702952967082604031392919654452035458189825532155157811529563548077465981593360058720569137823951216757947038563604539551691039466997910902828750494043249957653435317915419795607249731805092880130992038844785726384732652024165772683642933769973462819715995708881486082095872621534639789582745186607193269713737225453108237818305008187002427869)
(Nn22) 2⅄∀φ2nd=(φn22cn/φn24cn)
(Nn23) 2⅄∀φ2nd=(φn23cn/φn25cn)
(Nn24) 2⅄∀φ2nd=(φn24cn/φn26cn)
(Nn25) 2⅄∀φ2nd=(φn25cn/φn27cn)
(Nn26) 2⅄∀φ2nd=(φn26cn/φn28cn)
(Nn27) 2⅄∀φ2nd=(φn27cn/φn29cn)
(Nn28) 2⅄∀φ2nd=(φn28cn/φn30cn)
(Nn29) 2⅄∀φ2nd=(φn29cn/φn31cn)
(Nn30) 2⅄∀φ2nd=(φn30cn/φn32cn)
(Nn31) 2⅄∀φ2nd=(φn31cn/φn33cn)
(Nn32) 2⅄∀φ2nd=(φn32cn/φn34cn)
(Nn33) 2⅄∀φ2nd=(φn33cn/φn35cn)
(Nn34) 2⅄∀φ2nd=(φn34cn/φn36cn)
(Nn35) 2⅄∀φ2nd=(φn35cn/φn37cn)
(Nn36) 2⅄∀φ2nd=(φn36cn/φn38cn)
(Nn37) 2⅄∀φ2nd=(φn37cn/φn39cn)
(Nn38) 2⅄∀φ2nd=(φn38cn/φn40cn)
(Nn39) 2⅄∀φ2nd=(φn39cn/φn41cn)
(Nn40) 2⅄∀φ2nd=(φn40cn/φn42cn)
(Nn41) 2⅄∀φ2nd=(φn41cn/φn43cn)
(Nn42) 2⅄∀φ2nd=(φn42cn/φn44cn)
(Nn43) 2⅄∀φ2nd=(φn43cn/φn45cn)
And if
2⅄∀3rd=(n1/n4) then 2⅄∀φ3rd=(φn1cn/φn4cn)
(Nn1) 2⅄∀φ3rd=(φn1cn/φn4cn)=(0/1.5)=0
(Nn2) 2⅄∀φ3rd=(φn2cn/φn5cn)=(1/1.6)=0.625 and (Nn2) 2⅄∀φ3rd=(φn2cn/φn5c2)=(1/1.66)=0.6024096385542168674698795180722891566265
(Nn3) 2⅄∀φ3rd=(φn3cn/φn6cn)=(2/1.6)=1.25
(Nn4) 2⅄∀φ3rd=(φn4cn/φn7cn)=(1.5/1.625)=0.923076
(Nn5) 2⅄∀φ3rd=(φn5cn/φn8cn)=(1.6/1.615384)
(Nn6) 2⅄∀φ3rd=(φn6cn/φn9cn)=(1.6/1.619047)
(Nn7) 2⅄∀φ3rd=(φn7cn/φn10cn)=(1.625/1.61762941)
(Nn8) 2⅄∀φ3rd=(φn8cn/φn11cn)=(1.615384/1.618)
(Nn9) 2⅄∀φ3rd=(φn9cn/φn12cn)=(1.619047/1.61797752808988764044943820224719101123595505)
(Nn10) 2⅄∀φ3rd=(φn10cn/φn13cn)=(1.61762941/1.61805)
(Nn11) 2⅄∀φ3rd=(φn11cn/φn14cn)=(1.618/1.61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832)
(Nn12) 2⅄∀φ3rd=(φn12cn/φn15cn)=(1.61797752808988764044943820224719101123595505/1.61830223896551724135014)
(Nn13) 2⅄∀φ3rd=(φn13cn/φn16cn)=(1.61805/1.618032786885245901639344262295081967213114754098360655737704918)
(Nn14) 2⅄∀φ3rd=(φn14cn/φn17cn)=(1.61802575107296137339055793991416738197424034334763948497854077253214592274678111587982832/1.6180344478216818642350572441742654508601925025329280648429584599797365754812563323201418439716312056737588652482269503546099290780141843)
(Nn15) 2⅄∀φ3rd=(φn15cn/φn18cn)=(1.61830223896551724135014/1.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129)
(Nn16) 2⅄∀φ3rd=(φn16cn/φn19cn)=(1.618032786885245901639344262295081967213114754098360655737704918/1.618034055731424148606811145510835913312693)
(Nn17) 2⅄∀φ3rd=(φn17cn/φn20cn)=(1.6180344478216818642350572441742654508601925025329280648429584599797365754812563323201418439716312056737588652482269503546099290780141843/1.61803396316670629036115761779478593637885673283903372398947620186558239655584788327911265247548433389141353743123654628079406840468787371442238722793590050227218368811289165271466156421908634298014828988280315713944032525711552260224826596508012437215977038985864625687634537192059315953121262855776130112413298254006218607986127720640994977278163118631906242)
(Nn18) 2⅄∀φ3rd=(φn18cn/φn21cn)=(1.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/1.61803399852)
(Nn19) 2⅄∀φ3rd=(φn19cn/φn22cn)=(1.618034055731424148606811145510835913312693/1.6180339985010049351361227845806687374385163530970217431207747140526219623606797003471770509775260369084598940279554176959619952494246310067604604606248876201845441458249607162433948492782751690115110542682258359217979170473415128814180522565320665083135391923990498995066691028686278092454048985930933674403617759848364701260734516627078384799926913941183994154944291065229307509492545240288598574823679883062305865164445660515253974056276265302393568427005298739265485291430842335099579755161702905171752247414776521152932578110725379133930202813813265119678421523844346811620683354651927644821852731591449132103051342974604423716426274440178896400694319386077105773798647926365795724284672026310981)
(Nn20) 2⅄∀φ3rd=(φn20cn/φn23cn)=(1.61803396316670629036115761779478593637885673283903372398947620186558239655584788327911265247548433389141353743123654628079406840468787371442238722793590050227218368811289165271466156421908634298014828988280315713944032525711552260224826596508012437215977038985864625687634537192059315953121262855776130112413298254006218607986127720640994977278163118631906242/1.618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793292304217717802495624188357517983174298458585060132121280560103890237705381401388967308452374230704082208796792953531703461125853989046355372367455253797075263960250691660549940714810005081587713850149624527130032183388854384280955338490203828129411100446050477104624244819603636158319631867201174411382756479024335158940771272090791033820789339958218056575009880864999153068713229066681723222855852295183784088984247078087064536163965896900231494551408729038450680368132798825588617245152729941844051719270509852633956298345660324092371972220653830987894528823894754672237592456665349218000112924171418892213878380667381853085652984021229744226751736209135565467788380102760995991191914629326407217486307944215459319067246344079950313364575687425893512506351984642312687030688912540229236067980351194173112754785161763875557563096380780306024504545197899610411608604821862119586697532606854497205126757382417706510078482299136130094291434701597877025577324826379086443453221161989723900400880808537067359268251369205578454068093275365592004968663542431257410648749364801535768731296934108745977076393201964880582688724521483823612444243690361921969397549528541584326125007057760713680763367398791711365817853311501326859014171983513070972841736773755642256224944949466433290045734289424651346620744170289650499689458528598046411834453164699904014454293941618203376432725424877194963581954717407261024222234769352375876912653153407486872565072553780136639376658573767714979391338716052170967195528202811811868330416135571678617808141832759302128620631246118231607475580147930664558748800169386257156565363107673197447913725933035966347596917170120264242561120207780475410761673536220427982609677601490599062729377223197624809440460730619389080232623793122917980589464174806617356445147083733273107108576590819264863644063011687651741798882050702952967082604031392919654452035458189825532155157811529563548077465981593360058720569137823951216757947038563604539551691039466997910902828750494043249957653435317915419795607249731805092880130992038844785726384732652024165772683642933769973462819715995708881486082095872621534639789582745186607193269713737225453108237818305008187002427869)
(Nn21) 2⅄∀φ3rd=(φn21cn/φn24cn)
(Nn22) 2⅄∀φ3rd=(φn22cn/φn25cn)
(Nn23) 2⅄∀φ3rd=(φn23cn/φn26cn)
(Nn24) 2⅄∀φ3rd=(φn24cn/φn27cn)
(Nn25) 2⅄∀φ3rd=(φn25cn/φn28cn)
(Nn26) 2⅄∀φ3rd=(φn26cn/φn29cn)
(Nn27) 2⅄∀φ3rd=(φn27cn/φn30cn)
(Nn28) 2⅄∀φ3rd=(φn28cn/φn31cn)
(Nn29) 2⅄∀φ3rd=(φn29cn/φn32cn)
(Nn30) 2⅄∀φ3rd=(φn30cn/φn33cn)
(Nn31) 2⅄∀φ3rd=(φn31cn/φn34cn)
(Nn32) 2⅄∀φ3rd=(φn32cn/φn35cn)
(Nn33) 2⅄∀φ3rd=(φn33cn/φn36cn)
(Nn34) 2⅄∀φ3rd=(φn34cn/φn37cn)
(Nn35) 2⅄∀φ3rd=(φn35cn/φn38cn)
(Nn36) 2⅄∀φ3rd=(φn36cn/φn39cn)
(Nn37) 2⅄∀φ3rd=(φn37cn/φn40cn)
(Nn38) 2⅄∀φ3rd=(φn38cn/φn41cn)
(Nn39) 2⅄∀φ3rd=(φn39cn/φn42cn)
(Nn40) 2⅄∀φ3rd=(φn40cn/φn43cn)
(Nn41) 2⅄∀φ3rd=(φn41cn/φn44cn)
(Nn42) 2⅄∀φ3rd=(φn42cn/φn45cn)
Then if
2⅄∀2nd=(n1/n3) then 2⅄∀Θ2nd=(Θn1cn/Θn3cn)
(Nn1) 2⅄∀Θ2nd=(Θn1cn/Θn3cn)=(0/0.5)=0
(Nn2) 2⅄∀Θ2nd=(Θn2cn/Θn4cn)=(1/0.6)
(Nn3) 2⅄∀Θ2nd=(Θn3cn/Θn5cn)=(0.5/0.6)
(Nn4) 2⅄∀Θ2nd=(Θn4cn/Θn6cn)=(0.6/0.625)
(Nn5) 2⅄∀Θ2nd=(Θn5cn/Θn7cn)=(0.6/0.615384)
(Nn6) 2⅄∀Θ2nd=(Θn6cn/Θn8cn)=(0.625/0.619047)
(Nn7) 2⅄∀Θ2nd=(Θn7cn/Θn9cn)=(0.615384/0.61764705882352941)
(Nn8) 2⅄∀Θ2nd=(Θn8cn/Θn10cn)=(0.619047/0.618)
(Nn9) 2⅄∀Θ2nd=(Θn9cn/Θn11cn)=(0.61764705882352941/0.6179775280878651685393258764044943820224719101123595505)
(Nn10) 2⅄∀Θ2nd=(Θn10cn/Θn12cn)=(0.618/0.61805)
(Nn11) 2⅄∀Θ2nd=(Θn11cn/Θn13cn)=(0.6179775280878651685393258764044943820224719101123595505/0.618025755364806437768240343347639484978540772532206008583690987124463519313304721030042918454935622317596566)
(Nn12) 2⅄∀Θ2nd=(Θn12cn/Θn14cn)=(0.61805/0.610079575596814323607427055702917771827585941644562334217506631294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257)
(Nn13) 2⅄∀Θ2nd=(Θn13cn/Θn15cn)=(0.618025755364806437768240343347639484978540772532206008583690987124463519313304721030042918454935622317596566/0.618032786885245901639344262295081967213114754098360655737749)
(Nn14) 2⅄∀Θ2nd=(Θn14cn/Θn16cn)=(0.610079575596814323607427055702917771827585941644562334217506631294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257/0.618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870)
(Nn15) 2⅄∀Θ2nd=(Θn15cn/Θn17cn)=(0.618032786885245901639344262295081967213114754098360655737749/0.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129)
(Nn16) 2⅄∀Θ2nd=(Θn16cn/Θn18cn)=(0.618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870/0.618034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743)
(Nn17) 2⅄∀Θ2nd=(Θn17cn/Θn19cn)=(0.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/0.618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936)
(Nn18) 2⅄∀Θ2nd=(Θn18cn/Θn20cn)=(0.618034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743/0.61803399852)
(Nn19) 2⅄∀Θ2nd=(Θn19cn/Θn21cn)=(0.618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936/0.6180339850173579389731408733784030696144710396491869175954686643522748035812168828795907180705280467750776539375114196966928558377489493879042572629270966563128083318107071076192216334734149460990316097204458249588890919057189841037822035446738534624520372738900054814544125708021194957061940434862050063950301479992691394116572263840672391741275351726658139959802667641147451123698154577014434496619769778914672026310981)
(Nn20) 2⅄∀Θ2nd=(Θn20cn/Θn22cn)=(0.61803399852/0.618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793348766303427248602563378691208853255039241149568065044322737281915193947264411947377336118796228332674609000056462085709446106939190333690926542826492010614872113375868104567782733894190051380497995595957314663203658743153972107729659533623172039975156682287843712946756253175992321156343515329456270114)
(Nn21) 2⅄∀Θ2nd=(Θn21cn/Θn23cn)
(Nn22) 2⅄∀Θ2nd=(Θn22cn/Θn24cn)
(Nn23) 2⅄∀Θ2nd=(Θn23cn/Θn25cn)
(Nn24) 2⅄∀Θ2nd=(Θn24cn/Θn26cn)
(Nn25) 2⅄∀Θ2nd=(Θn25cn/Θn27cn)
(Nn26) 2⅄∀Θ2nd=(Θn26cn/Θn28cn)
(Nn27) 2⅄∀Θ2nd=(Θn27cn/Θn29cn)
(Nn28) 2⅄∀Θ2nd=(Θn28cn/Θn30cn)
(Nn29) 2⅄∀Θ2nd=(Θn29cn/Θn31cn)
(Nn30) 2⅄∀Θ2nd=(Θn30cn/Θn32cn)
(Nn31) 2⅄∀Θ2nd=(Θn31cn/Θn33cn)
(Nn32) 2⅄∀Θ2nd=(Θn32cn/Θn34cn)
(Nn33) 2⅄∀Θ2nd=(Θn33cn/Θn35cn)
(Nn34) 2⅄∀Θ2nd=(Θn34cn/Θn36cn)
(Nn35) 2⅄∀Θ2nd=(Θn35cn/Θn37cn)
(Nn36) 2⅄∀Θ2nd=(Θn36cn/Θn38cn)
(Nn37) 2⅄∀Θ2nd=(Θn37cn/Θn39cn)
(Nn38) 2⅄∀Θ2nd=(Θn38cn/Θn40cn)
(Nn39) 2⅄∀Θ2nd=(Θn39cn/Θn41cn)
(Nn40) 2⅄∀Θ2nd=(Θn40cn/Θn42cn)
(Nn41) 2⅄∀Θ2nd=(Θn41cn/Θn43cn)
(Nn42) 2⅄∀Θ2nd=(Θn42cn/Θn44cn)
(Nn43) 2⅄∀Θ2nd=(Θn43cn/Θn45cn)
And if
2⅄∀3rd=(n1/n4) then 2⅄∀Θ3rd=(Θn1cn/Θn4cn)
(Nn1) 2⅄∀Θ3rd=(Θn1cn/Θn4cn)=(0/0.6)
(Nn2) 2⅄∀Θ3rd=(Θn2cn/Θn5cn)=(1/0.6)
(Nn3) 2⅄∀Θ3rd=(Θn3cn/Θn6cn)=(0.5/0.625)
(Nn4) 2⅄∀Θ3rd=(Θn4cn/Θn7cn)=(0.6/0.615384)
(Nn5) 2⅄∀Θ3rd=(Θn5cn/Θn8cn)=(0.6/0.619047)
(Nn6) 2⅄∀Θ3rd=(Θn6cn/Θn9cn)=(0.625/0.61764705882352941)
(Nn7) 2⅄∀Θ3rd=(Θn7cn/Θn10cn)=(0.615384/0.618)
(Nn8) 2⅄∀Θ3rd=(Θn8cn/Θn11cn)=(0.619047/0.6179775280878651685393258764044943820224719101123595505)
(Nn9) 2⅄∀Θ3rd=(Θn9cn/Θn12cn)=(0.61764705882352941/0.61805)
(Nn10) 2⅄∀Θ3rd=(Θn10cn/Θn13cn)=(0.618/0.618025755364806437768240343347639484978540772532206008583690987124463519313304721030042918454935622317596566)
(Nn11) 2⅄∀Θ3rd=(Θn11cn/Θn14cn)=(0.6179775280878651685393258764044943820224719101123595505/0.610079575596814323607427055702917771827585941644562334217506631294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257)
(Nn12) 2⅄∀Θ3rd=(Θn12cn/Θn15cn)=(0.61805/0.618032786885245901639344262295081967213114754098360655737749)
(Nn13) 2⅄∀Θ3rd=(Θn13cn/Θn16cn)=(0.618025755364806437768240343347639484978540772532206008583690987124463519313304721030042918454935622317596566/0.618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870)
(Nn14) 2⅄∀Θ3rd=(Θn14cn/Θn17cn)=(0.610079575596814323607427055702917771827585941644562334217506631294429708196286206893896551724137931034482493368673740053050397875331564986472148514588567639257/0.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129)
(Nn15) 2⅄∀Θ3rd=(Θn15cn/Θn18cn)=(0.618032786885245901639344262295081967213114754098360655737749/0.618034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743)
(Nn16) 2⅄∀Θ3rd=(Θn16cn/Θn19cn)=(0.618034447821681864235055724417426545086119554204660587639311043566362715298885511651469098277608915906788247213779128672745684022289766870/0.618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936)
(Nn17) 2⅄∀Θ3rd=(Θn17cn/Θn20cn)=(0.6180338134001252348152786474639949906073888541014402003757044458359423919849718221665623043206011271133375078271759549154664996869129/0.61803399852)
(Nn18) 2⅄∀Θ3rd=(Θn18cn/Θn21cn)=(0.618034055727554179566563467492260061919504643962848297213622291021671826625386996904024767801857585139318885448916408668730650154798761609907120743/0.6180339850173579389731408733784030696144710396491869175954686643522748035812168828795907180705280467750776539375114196966928558377489493879042572629270966563128083318107071076192216334734149460990316097204458249588890919057189841037822035446738534624520372738900054814544125708021194957061940434862050063950301479992691394116572263840672391741275351726658139959802667641147451123698154577014434496619769778914672026310981)
(Nn19) 2⅄∀Θ3rd=(Θn19cn/Θn22cn)=(0.618033963166706529538387945467591485290600334848122458741927768476441042812724228653432193255202104759626883520688830423343697679980865821573786175556087060511839272901219803874671131308299449892370246352547237502989715379095910069361396795025113609184405644582635733078210954317149007414494140157856972016264051662281750777325998564936/0.618033990175597086556377392580881937778781548190390153012252272598949805205804302410931059793348766303427248602563378691208853255039241149568065044322737281915193947264411947377336118796228332674609000056462085709446106939190333690926542826492010614872113375868104567782733894190051380497995595957314663203658743153972107729659533623172039975156682287843712946756253175992321156343515329456270114)
(Nn20) 2⅄∀Θ3rd=(Θn20cn/Θn23cn)
(Nn21) 2⅄∀Θ3rd=(Θn21cn/Θn24cn)
(Nn22) 2⅄∀Θ3rd=(Θn22cn/Θn25cn)
(Nn23) 2⅄∀Θ3rd=(Θn23cn/Θn26cn)
(Nn24) 2⅄∀Θ3rd=(Θn24cn/Θn27cn)
(Nn25) 2⅄∀Θ3rd=(Θn25cn/Θn28cn)
(Nn26) 2⅄∀Θ3rd=(Θn26cn/Θn29cn)
(Nn27) 2⅄∀Θ3rd=(Θn27cn/Θn30cn)
(Nn28) 2⅄∀Θ3rd=(Θn28cn/Θn31cn)
(Nn29) 2⅄∀Θ3rd=(Θn29cn/Θn32cn)
(Nn30) 2⅄∀Θ3rd=(Θn30cn/Θn33cn)
(Nn31) 2⅄∀Θ3rd=(Θn31cn/Θn34cn)
(Nn32) 2⅄∀Θ3rd=(Θn32cn/Θn35cn)
(Nn33) 2⅄∀Θ3rd=(Θn33cn/Θn36cn)
(Nn34) 2⅄∀Θ3rd=(Θn34cn/Θn37cn)
(Nn35) 2⅄∀Θ3rd=(Θn35cn/Θn38cn)
(Nn36) 2⅄∀Θ3rd=(Θn36cn/Θn39cn)
(Nn37) 2⅄∀Θ3rd=(Θn37cn/Θn40cn)
(Nn38) 2⅄∀Θ3rd=(Θn38cn/Θn41cn)
(Nn39) 2⅄∀Θ3rd=(Θn39cn/Θn42cn)
(Nn40) 2⅄∀Θ3rd=(Θn40cn/Θn43cn)
(Nn41) 2⅄∀Θ3rd=(Θn40cn/Θn44cn)
(Nn42) 2⅄∀Θ3rd=(Θn41cn/Θn45cn)
Then if
2⅄∀2nd=(n1/n3) then 2⅄∀(1⅄Q)2nd=(1⅄Qn1cn/1⅄Qn3cn)
(Nn1) 2⅄∀(1⅄Q)2nd=(1⅄Qn1cn/1⅄Qn3cn)
(Nn2) 2⅄∀(1⅄Q)2nd=(1⅄Qn2cn/1⅄Qn4cn)
(Nn3) 2⅄∀(1⅄Q)2nd=(1⅄Qn3cn/1⅄Qn5cn)
(Nn4) 2⅄∀(1⅄Q)2nd=(1⅄Qn4cn/1⅄Qn6cn)
(Nn5) 2⅄∀(1⅄Q)2nd=(1⅄Qn5cn/1⅄Qn7cn)
(Nn6) 2⅄∀(1⅄Q)2nd=(1⅄Qn6cn/1⅄Qn8cn)
(Nn7) 2⅄∀(1⅄Q)2nd=(1⅄Qn7cn/1⅄Qn9cn)
(Nn8) 2⅄∀(1⅄Q)2nd=(1⅄Qn8cn/1⅄Qn10cn)
(Nn9) 2⅄∀(1⅄Q)2nd=(1⅄Qn9cn/1⅄Qn11cn)
(Nn10) 2⅄∀(1⅄Q)2nd=(1⅄Qn10cn/1⅄Qn12cn)
(Nn11) 2⅄∀(1⅄Q)2nd=(1⅄Qn11cn/1⅄Qn13cn)
(Nn12) 2⅄∀(1⅄Q)2nd=(1⅄Qn12cn/1⅄Qn14cn)
(Nn13) 2⅄∀(1⅄Q)2nd=(1⅄Qn13cn/1⅄Qn15cn)
(Nn14) 2⅄∀(1⅄Q)2nd=(1⅄Qn14cn/1⅄Qn16cn)
(Nn15) 2⅄∀(1⅄Q)2nd=(1⅄Qn15cn/1⅄Qn17cn)
(Nn16) 2⅄∀(1⅄Q)2nd=(1⅄Qn16cn/1⅄Qn18cn)
(Nn17) 2⅄∀(1⅄Q)2nd=(1⅄Qn17cn/1⅄Qn19cn)
(Nn18) 2⅄∀(1⅄Q)2nd=(1⅄Qn18cn/1⅄Qn20cn)
(Nn19) 2⅄∀(1⅄Q)2nd=(1⅄Qn19cn/1⅄Qn21cn)
(Nn20) 2⅄∀(1⅄Q)2nd=(1⅄Qn20cn/1⅄Qn22cn)
(Nn21) 2⅄∀(1⅄Q)2nd=(1⅄Qn21cn/1⅄Qn23cn)
(Nn22) 2⅄∀(1⅄Q)2nd=(1⅄Qn22cn/1⅄Qn24cn)
(Nn23) 2⅄∀(1⅄Q)2nd=(1⅄Qn23cn/1⅄Qn25cn)
(Nn24) 2⅄∀(1⅄Q)2nd=(1⅄Qn24cn/1⅄Qn26cn)
(Nn25) 2⅄∀(1⅄Q)2nd=(1⅄Qn25cn/1⅄Qn27cn)
(Nn26) 2⅄∀(1⅄Q)2nd=(1⅄Qn26cn/1⅄Qn28cn)
(Nn27) 2⅄∀(1⅄Q)2nd=(1⅄Qn27cn/1⅄Qn29cn)
(Nn28) 2⅄∀(1⅄Q)2nd=(1⅄Qn28cn/1⅄Qn30cn)
(Nn29) 2⅄∀(1⅄Q)2nd=(1⅄Qn29cn/1⅄Qn31cn)
(Nn30) 2⅄∀(1⅄Q)2nd=(1⅄Qn30cn/1⅄Qn32cn)
(Nn31) 2⅄∀(1⅄Q)2nd=(1⅄Qn31cn/1⅄Qn33cn)
(Nn32) 2⅄∀(1⅄Q)2nd=(1⅄Qn32cn/1⅄Qn34cn)
(Nn33) 2⅄∀(1⅄Q)2nd=(1⅄Qn33cn/1⅄Qn35cn)
(Nn34) 2⅄∀(1⅄Q)2nd=(1⅄Qn34cn/1⅄Qn36cn)
(Nn35) 2⅄∀(1⅄Q)2nd=(1⅄Qn35cn/1⅄Qn37cn)
(Nn36) 2⅄∀(1⅄Q)2nd=(1⅄Qn36cn/1⅄Qn38cn)
(Nn37) 2⅄∀(1⅄Q)2nd=(1⅄Qn37cn/1⅄Qn39cn)
(Nn38) 2⅄∀(1⅄Q)2nd=(1⅄Qn38cn/1⅄Qn40cn)
(Nn39) 2⅄∀(1⅄Q)2nd=(1⅄Qn39cn/1⅄Qn41cn)
(Nn40) 2⅄∀(1⅄Q)2nd=(1⅄Qn40cn/1⅄Qn42cn)
(Nn41) 2⅄∀(1⅄Q)2nd=(1⅄Qn41cn/1⅄Qn43cn)
(Nn42) 2⅄∀(1⅄Q)2nd=(1⅄Qn42cn/1⅄Qn44cn)
(Nn43) 2⅄∀(1⅄Q)2nd=(1⅄Qn43cn/1⅄Qn45cn)
And if
2⅄∀3rd=(n1/n4) then 2⅄∀(1⅄Q)3rd=(1⅄Qn1cn/1⅄Qn4cn)
(Nn1) 2⅄∀(1⅄Q)3rd=(1⅄Qn1cn/1⅄Qn4cn)
(Nn2) 2⅄∀(1⅄Q)3rd=(1⅄Qn2cn/1⅄Qn5cn)
(Nn3) 2⅄∀(1⅄Q)3rd=(1⅄Qn3cn/1⅄Qn6cn)
(Nn4) 2⅄∀(1⅄Q)3rd=(1⅄Qn4cn/1⅄Qn7cn)
(Nn5) 2⅄∀(1⅄Q)3rd=(1⅄Qn5cn/1⅄Qn8cn)
(Nn6) 2⅄∀(1⅄Q)3rd=(1⅄Qn6cn/1⅄Qn9cn)
(Nn7) 2⅄∀(1⅄Q)3rd=(1⅄Qn7cn/1⅄Qn10cn)
(Nn8) 2⅄∀(1⅄Q)3rd=(1⅄Qn8cn/1⅄Qn11cn)
(Nn9) 2⅄∀(1⅄Q)3rd=(1⅄Qn9cn/1⅄Qn12cn)
(Nn10) 2⅄∀(1⅄Q)3rd=(1⅄Qn10cn/1⅄Qn13cn)
(Nn11) 2⅄∀(1⅄Q)3rd=(1⅄Qn11cn/1⅄Qn14cn)
(Nn12) 2⅄∀(1⅄Q)3rd=(1⅄Qn12cn/1⅄Qn15cn)
(Nn13) 2⅄∀(1⅄Q)3rd=(1⅄Qn13cn/1⅄Qn16cn)
(Nn14) 2⅄∀(1⅄Q)3rd=(1⅄Qn14cn/1⅄Qn17cn)
(Nn15) 2⅄∀(1⅄Q)3rd=(1⅄Qn15cn/1⅄Qn18cn)
(Nn16) 2⅄∀(1⅄Q)3rd=(1⅄Qn16cn/1⅄Qn19cn)
(Nn17) 2⅄∀(1⅄Q)3rd=(1⅄Qn17cn/1⅄Qn20cn)
(Nn18) 2⅄∀(1⅄Q)3rd=(1⅄Qn18cn/1⅄Qn21cn)
(Nn19) 2⅄∀(1⅄Q)3rd=(1⅄Qn19cn/1⅄Qn22cn)
(Nn20) 2⅄∀(1⅄Q)3rd=(1⅄Qn20cn/1⅄Qn23cn)
(Nn21) 2⅄∀(1⅄Q)3rd=(1⅄Qn21cn/1⅄Qn24cn)
(Nn22) 2⅄∀(1⅄Q)3rd=(1⅄Qn22cn/1⅄Qn25cn)
(Nn23) 2⅄∀(1⅄Q)3rd=(1⅄Qn23cn/1⅄Qn26cn)
(Nn24) 2⅄∀(1⅄Q)3rd=(1⅄Qn24cn/1⅄Qn27cn)
(Nn25) 2⅄∀(1⅄Q)3rd=(1⅄Qn25cn/1⅄Qn28cn)
(Nn26) 2⅄∀(1⅄Q)3rd=(1⅄Qn26cn/1⅄Qn29cn)
(Nn27) 2⅄∀(1⅄Q)3rd=(1⅄Qn27cn/1⅄Qn30cn)
(Nn28) 2⅄∀(1⅄Q)3rd=(1⅄Qn28cn/1⅄Qn31cn)
(Nn29) 2⅄∀(1⅄Q)3rd=(1⅄Qn29cn/1⅄Qn32cn)
(Nn30) 2⅄∀(1⅄Q)3rd=(1⅄Qn30cn/1⅄Qn33cn)
(Nn31) 2⅄∀(1⅄Q)3rd=(1⅄Qn31cn/1⅄Qn34cn)
(Nn32) 2⅄∀(1⅄Q)3rd=(1⅄Qn32cn/1⅄Qn35cn)
(Nn33) 2⅄∀(1⅄Q)3rd=(1⅄Qn33cn/1⅄Qn36cn)
(Nn34) 2⅄∀(1⅄Q)3rd=(1⅄Qn34cn/1⅄Qn37cn)
(Nn35) 2⅄∀(1⅄Q)3rd=(1⅄Qn35cn/1⅄Qn38cn)
(Nn36) 2⅄∀(1⅄Q)3rd=(1⅄Qn36cn/1⅄Qn39cn)
(Nn37) 2⅄∀(1⅄Q)3rd=(1⅄Qn37cn/1⅄Qn40cn)
(Nn38) 2⅄∀(1⅄Q)3rd=(1⅄Qn38cn/1⅄Qn41cn)
(Nn39) 2⅄∀(1⅄Q)3rd=(1⅄Qn39cn/1⅄Qn42cn)
(Nn40) 2⅄∀(1⅄Q)3rd=(1⅄Qn40cn/1⅄Qn43cn)
(Nn41) 2⅄∀(1⅄Q)3rd=(1⅄Qn41cn/1⅄Qn44cn)
(Nn42) 2⅄∀(1⅄Q)3rd=(1⅄Qn42cn/1⅄Qn45cn)
Then if
2⅄∀2nd=(n1/n3) then 2⅄∀(2⅄Q)2nd=(2⅄Qn1cn/2⅄Qn3cn)
(Nn1) 2⅄∀(2⅄Q)2nd=(2⅄Qn1cn/2⅄Qn3cn)
(Nn2) 2⅄∀(2⅄Q)2nd=(2⅄Qn2cn/2⅄Qn4cn)
(Nn3) 2⅄∀(2⅄Q)2nd=(2⅄Qn3cn/2⅄Qn5cn)
(Nn4) 2⅄∀(2⅄Q)2nd=(2⅄Qn4cn/2⅄Qn6cn)
(Nn5) 2⅄∀(2⅄Q)2nd=(2⅄Qn5cn/2⅄Qn7cn)
(Nn6) 2⅄∀(2⅄Q)2nd=(2⅄Qn6cn/2⅄Qn8cn)
(Nn7) 2⅄∀(2⅄Q)2nd=(2⅄Qn7cn/2⅄Qn9cn)
(Nn8) 2⅄∀(2⅄Q)2nd=(2⅄Qn8cn/2⅄Qn10cn)
(Nn9) 2⅄∀(2⅄Q)2nd=(2⅄Qn9cn/2⅄Qn11cn)
(Nn10) 2⅄∀(2⅄Q)2nd=(2⅄Qn10cn/2⅄Qn12cn)
(Nn11) 2⅄∀(2⅄Q)2nd=(2⅄Qn11cn/2⅄Qn13cn)
(Nn12) 2⅄∀(2⅄Q)2nd=(2⅄Qn12cn/2⅄Qn14cn)
(Nn13) 2⅄∀(2⅄Q)2nd=(2⅄Qn13cn/2⅄Qn15cn)
(Nn14) 2⅄∀(2⅄Q)2nd=(2⅄Qn14cn/2⅄Qn16cn)
(Nn15) 2⅄∀(2⅄Q)2nd=(2⅄Qn15cn/2⅄Qn17cn)
(Nn16) 2⅄∀(2⅄Q)2nd=(2⅄Qn16cn/2⅄Qn18cn)
(Nn17) 2⅄∀(2⅄Q)2nd=(2⅄Qn17cn/2⅄Qn19cn)
(Nn18) 2⅄∀(2⅄Q)2nd=(2⅄Qn18cn/2⅄Qn20cn)
(Nn19) 2⅄∀(2⅄Q)2nd=(2⅄Qn19cn/2⅄Qn21cn)
(Nn20) 2⅄∀(2⅄Q)2nd=(2⅄Qn20cn/2⅄Qn22cn)
(Nn21) 2⅄∀(2⅄Q)2nd=(2⅄Qn21cn/2⅄Qn23cn)
(Nn22) 2⅄∀(2⅄Q)2nd=(2⅄Qn22cn/2⅄Qn24cn)
(Nn23) 2⅄∀(2⅄Q)2nd=(2⅄Qn23cn/2⅄Qn25cn)
(Nn24) 2⅄∀(2⅄Q)2nd=(2⅄Qn24cn/2⅄Qn26cn)
(Nn25) 2⅄∀(2⅄Q)2nd=(2⅄Qn25cn/2⅄Qn27cn)
(Nn26) 2⅄∀(2⅄Q)2nd=(2⅄Qn26cn/2⅄Qn28cn)
(Nn27) 2⅄∀(2⅄Q)2nd=(2⅄Qn27cn/2⅄Qn29cn)
(Nn28) 2⅄∀(2⅄Q)2nd=(2⅄Qn28cn/2⅄Qn30cn)
(Nn29) 2⅄∀(2⅄Q)2nd=(2⅄Qn29cn/2⅄Qn31cn)
(Nn30) 2⅄∀(2⅄Q)2nd=(2⅄Qn30cn/2⅄Qn32cn)
(Nn31) 2⅄∀(2⅄Q)2nd=(2⅄Qn31cn/2⅄Qn33cn)
(Nn32) 2⅄∀(2⅄Q)2nd=(2⅄Qn32cn/2⅄Qn34cn)
(Nn33) 2⅄∀(2⅄Q)2nd=(2⅄Qn33cn/2⅄Qn35cn)
(Nn34) 2⅄∀(2⅄Q)2nd=(2⅄Qn34cn/2⅄Qn36cn)
(Nn35) 2⅄∀(2⅄Q)2nd=(2⅄Qn35cn/2⅄Qn37cn)
(Nn36) 2⅄∀(2⅄Q)2nd=(2⅄Qn36cn/2⅄Qn38cn)
(Nn37) 2⅄∀(2⅄Q)2nd=(2⅄Qn37cn/2⅄Qn39cn)
(Nn38) 2⅄∀(2⅄Q)2nd=(2⅄Qn38cn/2⅄Qn40cn)
(Nn39) 2⅄∀(2⅄Q)2nd=(2⅄Qn39cn/2⅄Qn41cn)
(Nn40) 2⅄∀(2⅄Q)2nd=(2⅄Qn40cn/2⅄Qn42cn)
(Nn41) 2⅄∀(2⅄Q)2nd=(2⅄Qn41cn/2⅄Qn43cn)
(Nn42) 2⅄∀(2⅄Q)2nd=(2⅄Qn42cn/2⅄Qn44cn)
(Nn43) 2⅄∀(2⅄Q)2nd=(2⅄Qn43cn/2⅄Qn45cn)
And if
2⅄∀3rd=(n1/n4) then 2⅄∀(2⅄Q)3rd=(2⅄Qn1cn/2⅄Qn4cn)
(Nn1) 2⅄∀(2⅄Q)3rd=(2⅄Qn1cn/2⅄Qn4cn)
(Nn2) 2⅄∀(2⅄Q)3rd=(2⅄Qn2cn/2⅄Qn5cn)
(Nn3) 2⅄∀(2⅄Q)3rd=(2⅄Qn3cn/2⅄Qn6cn)
(Nn4) 2⅄∀(2⅄Q)3rd=(2⅄Qn4cn/2⅄Qn7cn)
(Nn5) 2⅄∀(2⅄Q)3rd=(2⅄Qn5cn/2⅄Qn8cn)
(Nn6) 2⅄∀(2⅄Q)3rd=(2⅄Qn6cn/2⅄Qn9cn)
(Nn7) 2⅄∀(2⅄Q)3rd=(2⅄Qn7cn/2⅄Qn10cn)
(Nn8) 2⅄∀(2⅄Q)3rd=(2⅄Qn8cn/2⅄Qn11cn)
(Nn9) 2⅄∀(2⅄Q)3rd=(2⅄Qn9cn/2⅄Qn12cn)
(Nn10) 2⅄∀(2⅄Q)3rd=(2⅄Qn10cn/2⅄Qn13cn)
(Nn11) 2⅄∀(2⅄Q)3rd=(2⅄Qn11cn/2⅄Qn14cn)
(Nn12) 2⅄∀(2⅄Q)3rd=(2⅄Qn12cn/2⅄Qn15cn)
(Nn13) 2⅄∀(2⅄Q)3rd=(2⅄Qn13cn/2⅄Qn16cn)
(Nn14) 2⅄∀(2⅄Q)3rd=(2⅄Qn14cn/2⅄Qn17cn)
(Nn15) 2⅄∀(2⅄Q)3rd=(2⅄Qn15cn/2⅄Qn18cn)
(Nn16) 2⅄∀(2⅄Q)3rd=(2⅄Qn16cn/2⅄Qn19cn)
(Nn17) 2⅄∀(2⅄Q)3rd=(2⅄Qn17cn/2⅄Qn20cn)
(Nn18) 2⅄∀(2⅄Q)3rd=(2⅄Qn18cn/2⅄Qn21cn)
(Nn19) 2⅄∀(2⅄Q)3rd=(2⅄Qn19cn/2⅄Qn22cn)
(Nn20) 2⅄∀(2⅄Q)3rd=(2⅄Qn20cn/2⅄Qn23cn)
(Nn21) 2⅄∀(2⅄Q)3rd=(2⅄Qn21cn/2⅄Qn241n)
(Nn22) 2⅄∀(2⅄Q)3rd=(2⅄Qn22cn/2⅄Qn25cn)
(Nn23) 2⅄∀(2⅄Q)3rd=(2⅄Qn23cn/2⅄Qn26cn)
(Nn24) 2⅄∀(2⅄Q)3rd=(2⅄Qn24cn/2⅄Qn27cn)
(Nn25) 2⅄∀(2⅄Q)3rd=(2⅄Qn25cn/2⅄Qn28cn)
(Nn26) 2⅄∀(2⅄Q)3rd=(2⅄Qn26cn/2⅄Qn29cn)
(Nn27) 2⅄∀(2⅄Q)3rd=(2⅄Qn27cn/2⅄Qn30cn)
(Nn28) 2⅄∀(2⅄Q)3rd=(2⅄Qn28cn/2⅄Qn31cn)
(Nn29) 2⅄∀(2⅄Q)3rd=(2⅄Qn29cn/2⅄Qn32cn)
(Nn30) 2⅄∀(2⅄Q)3rd=(2⅄Qn30cn/2⅄Qn33cn)
(Nn31) 2⅄∀(2⅄Q)3rd=(2⅄Qn31cn/2⅄Qn34cn)
(Nn32) 2⅄∀(2⅄Q)3rd=(2⅄Qn32cn/2⅄Qn35cn)
(Nn33) 2⅄∀(2⅄Q)3rd=(2⅄Qn33cn/2⅄Qn36cn)
(Nn34) 2⅄∀(2⅄Q)3rd=(2⅄Qn34cn/2⅄Qn37cn)
(Nn35) 2⅄∀(2⅄Q)3rd=(2⅄Qn35cn/2⅄Qn38cn)
(Nn36) 2⅄∀(2⅄Q)3rd=(2⅄Qn36cn/2⅄Qn39cn)
(Nn37) 2⅄∀(2⅄Q)3rd=(2⅄Qn37cn/2⅄Qn40cn)
(Nn38) 2⅄∀(2⅄Q)3rd=(2⅄Qn38cn/2⅄Qn41cn)
(Nn39) 2⅄∀(2⅄Q)3rd=(2⅄Qn39cn/2⅄Qn42cn)
(Nn40) 2⅄∀(2⅄Q)3rd=(2⅄Qn40cn/2⅄Qn43cn)
(Nn41) 2⅄∀(2⅄Q)3rd=(2⅄Qn41cn/2⅄Qn44cn)
(Nn42) 2⅄∀(2⅄Q)3rd=(2⅄Qn42cn/2⅄Qn45cn)
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 P prime numbers.
if 1⅄∀2nd=(n3/n1) of (Nn) then (Nn1)1⅄∀Ψ2nd=(Ψn3/Ψn1)
if 1⅄∀3rd=(n4/n1) of (Nn) then (Nn1)1⅄∀Ψ3rd=(Ψn4/Ψn1)
and
if 2⅄∀2nd=(n1/n3) of (Nn) then (Nn1)2⅄∀Ψ2nd=(Ψn1/Ψn3)
if 2⅄∀3rd=(n1/n4) of (Nn) then (Nn1)2⅄∀Ψ3rd=(Ψn1/Ψn4)
and so on for (Nn)n⅄∀Ψ4th, (Nn)n⅄∀Ψ5th, (Nn)n⅄∀Ψ6th, (Nn)n⅄∀Ψ7th, . . . . .(Nn)n⅄∀Ψnth,
Whole numbers of psi Ψ differ from ratios of psi paths 1⅄Ψ and 2⅄Ψ variables just as paths 1⅄Q and 2⅄Q differ from P prime numbers being quotients of prime numbers, and Y base numerals of phi φ and theta Θ ratios differ based on paths to those ratio values.
So then an equation of for all for any applied to psi divided path ratios 1⅄Ψ are
if 1⅄∀2nd=(n3/n1) of (Nn) then (Nn1)1⅄∀(1⅄Ψ2nd)=(1⅄Ψn3/1⅄Ψn1)
if 1⅄∀3rd=(n4/n1) of (Nn) then (Nn1)1⅄∀(1⅄Ψ3rd)=(1⅄Ψn4/1⅄Ψn1)
and
if 2⅄∀2nd=(n1/n3) of (Nn) then (Nn1)2⅄∀(1⅄Ψ2nd)=(1⅄Ψn1/1⅄Ψn3)
if 2⅄∀3rd=(n1/n4) of (Nn) then (Nn1)2⅄∀(1⅄Ψ3rd)=(1⅄Ψn1/1⅄Ψn4)
while an entirely different path set of equations of for all for any applied to psi divided path ratios 2⅄Ψ are
if 1⅄∀2nd=(n3/n1) of (Nn) then (Nn1)1⅄∀(2⅄Ψ2nd)=(2⅄Ψn3/2⅄Ψn1)
if 1⅄∀3rd=(n4/n1) of (Nn) then (Nn1)1⅄∀(2⅄Ψ3rd)=(2⅄Ψn4/2⅄Ψn1)
and
if 2⅄∀2nd=(n1/n3) of (Nn) then (Nn1)2⅄∀(2⅄Ψ2nd)=(2⅄Ψn1/2⅄Ψn3)
if 2⅄∀3rd=(n1/n4) of (Nn) then (Nn1)2⅄∀(2⅄Ψ3rd)=(2⅄Ψn1/2⅄Ψn4)
and so on for (Nn)n⅄∀n⅄Ψ4th, (Nn)n⅄∀n⅄Ψ5th, (Nn)n⅄∀n⅄Ψ6th, (Nn)n⅄∀n⅄Ψ7th, . . . . .(Nn)n⅄∀n⅄Ψnth,
More complex path set of equations of for all for any applied to psi divided path ratios are using variables of ⅄2Ψ that are quotients of paths 1⅄Ψ and 2⅄Ψ variables such that n⅄2Ψ=(⅄Ψ/⅄Ψ) and are quotients of ratios divided by ratios from a 3rd set of psi base numerals set ∈Ψ
Ψ∉n⅄2Ψ
Psi variable whole numbers are not of the same set of variables of quotients derived from psi whole numbers and the quotients are defined by the exact numerals that produce variable quotients differing to the path of later to previous or previous to later while for all for any applied then alters those quotients and decimal ratio stem to a cn factor entirely unique to the definition of each. While some variables may equal one another, the paths that the quotients were derived are not equal.
2⅄1Q
Prime consecutive step tier base rationals of 2:199 of the 10 digit prime 1,000,000,007
1st tier 46 primes example 10 tiers to 9 divisions of primes with primes (p) or (P) P→Q→∈2⅄Q ∈1⅄Q
∈3⅄Q does not exist where numbers of p have no decimals path variant of cn
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199
2nd tier 1st divide steps in decimal value with cycle decimal key in bold with ^ repeat notation at start of decimal cycle for calculation variable change when factoring decimals of multiple cycle strain stem(s) factored ratios of previous prime divided by consecutive later prime.
Alternate path P→Q→∈2⅄1Qn1=(pn1/pn2)
∈2⅄1 prime consecutive previous divided by later cycles back in remainder back to the dividend.
have not read this anywhere . . .
2⅄1Qn1=(pn1/pn2)=(2/3)=0.^6
2⅄1Qn2=(pn2/pn3)=(3/5)=0.6
2⅄1Qn3=(pn3/pn4)=(5/7)=0.^714285
2⅄1Qn4=(pn4/pn5)=(7/11)=0.^63
2⅄1Qn5=(pn5/pn6)=(11/13)=0.^846153
2⅄1Qn6=(pn6/pn7)=(13/17)=0.^7647058823529411
2⅄1Qn7=(pn7/pn8)=(17/19)=0.^894736842105263157
2⅄1Qn8=(pn8/pn9)=(19/23)=0.^8260869565217391304347
2⅄1Qn9=(pn9/pn10)=(23/29)=0.^7931034482758620689655172413
2⅄1Qn10=(pn10/pn11)=(29/31)=0.^935483870967741
2⅄1Qn11=(pn11/pn12)=(31/37)=0.^837
2⅄1Qn12=(pn12/pn13)=(37/41)=0.^9024390243
2⅄1Qn13=(pn13/pn14)=(41/43)=0.^953488372093023255813
2⅄1Qn14=(pn14/pn15)=(43/47)=0.^9148936170212765957446808510638297872340425531
2⅄1Qn15=(pn15/pn16)=(47/53)=0.^88679245283018867924528301
2⅄1Qn16=(pn16/pn17)=(53/59)=0.^8983050847457627118644067796610169491525423728813559322033
2⅄1Qn17=(pn17/pn18)=(59/61)=0.^967213114754098360655737704918032786885245901639344262295081
2⅄1Qn18=(pn18/pn19)=(61/67)=0.^910447761194029850746268656716417
2⅄1Qn19=(pn19/pn20)=(67/71)=0.^94366197183098591549295774647887323
2⅄1Qn20=(pn20/pn21)=(71/73)=0.^97260273
2⅄1Qn21=(pn21/pn22)=(73/79)=0.^9240506329113
2⅄1Qn22=(pn22/pn23)=(79/83)=0.^95180722891566265060240963855421686746987
2⅄1Qn23=(pn23/pn24)=(83/89)=0.^93258426966292134831460674157303370786516853
2⅄1Qn24=(pn24/pn25)=(89/97)=0.^917525773195876288659793814432989690721649484536082474226804123711340206185567010309278350515463
2⅄1Qn25=(pn25/pn26)=(97/101)=0.^9603
2⅄1Qn26=(pn26/pn27)=(101/103)=0.^9805825242718446601941747572815533
2⅄1Qn27=(pn27/pn28)=(103/107)=0.^96261682242990654205607476635514018691588785046728971
2⅄1Qn28=(pn28/pn29)=(107/109)=0.^0981651376146788990825688073394495412844036697247706422018348623853211009174311926605504587155963302752293577
2⅄1Qn29=(pn29/pn30)=(109/113)=0.^9646017699115044247787610619469026548672566371681415929203539823008849557522123893805309734513274336283185840707
2⅄1Qn30=(pn30/pn31)=(113/127)=0.^88976377952755905511811023622047244094481
2⅄1Qn31=(pn31/pn32)=(127/131)=0.^969465648854961832061068015267175572519083
2⅄1Qn32=(pn32/pn33)=(131/137)=0.^95620437
2⅄1Qn33=(pn33/pn34)=(137/139)=0.^9856115107913669064748201438848920863309352517
2⅄1Qn34=(pn34/pn35)=(139/149)=0.^932885906040268456375838926174496651006711409395973154362416107382550335570469798657718120805369127516778523489
2⅄1Qn35=(pn35/pn36)=(149/151)=0.^986754966887417218543046357615894039735099337748344370860927152317880794701
2⅄1Qn36=(pn36/pn37)=(151/157)=0.^961783439490445859872611464968152866242038216560509554140127388535031847133757
2⅄1Qn37=(pn37/pn38)=(157/163)=0.^963190184049079754601226993865030674846625766871165644171779141104294478527607361
2⅄1Qn38=(pn38/pn39)=(163/167)=0.^9760479041916167664670658682634730538922155688622754491017964071856287425149700598802395209580838323353293413173652694610778443113772455089820359281437125748502994011
2⅄1Qn39=(pn39/pn40)=(167/173)=0.^9653179190751445086705202312138728323699421
2⅄1Qn40=(pn40/pn41)=(173/179)=0.^96648044692737430167597765363128491620111731843575418994413407821229050279329608938547486033519553072625698324022346336871508379888268156424581005586592178770949720670391061452513
2⅄1Qn41=(pn41/pn42)=(179/181)=0.^9889502762430939226519337016574585635359116022099447513812154696132596685082877292817679558011049723756906077348066298342541436464088397790055248618784530386740331491712707182320441
2⅄1Qn42=(pn42/pn43)=(181/191)=0.^94764397905759162303664921465968586387434554973821989528795811518324607329842931937172774869109
2⅄1Qn43=(pn43/pn44)=(191/193)=0.^989637304699481864284974093264248704663212435233160621761658031088082901554404145077720207253886010362694300518134715025906735751295336787564766839378238341917098445595854922279792746113
2⅄1Qn44=(pn44/pn45)=(193/197)=0.^979695431
2⅄1Qn45=(pn45/pn46)=(197/199)=0.^989949748743718592964824120603015075025125628140703517587939698492462311557763819095477386934673366834170854271356783919597
1⅄1Q
Prime consecutive step tier base rationals of 2:199 of the 10 digit prime 1,000,000,007
1st tier 46 primes example 10 tiers to 9 divisions of primes with primes (p) or (P) P→Q→∈2⅄Q ∈1⅄Q
∈3⅄Q does not exist where numbers of p have no decimals path variant of cn
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199
2nd tier 1st divide steps in decimal value with cycle decimal key in bold with ^ repeat notation at start of decimal cycle for calculation variable change when factoring decimals of multiple cycle strain stem(s) factored ratios of later prime divided by previous prime of prime consecutive order.
Path of Q base ∈1⅄Q
examples of ∈1⅄1Qn1=(pn2/pn1)
∈1⅄1Qn1 prime consecutive later divided by previous cycles back in remainder back to the first division remainder.
have not read this anywhere . . .
1⅄1Qn1=(pn2/pn1)=(3/2)=1.5
1⅄1Qn2=(pn3/pn2)c1=(5/3)=1.^6
1⅄1Qn3=(pn4/pn3)=(7/5)=1.4
1⅄1Qn4=(pn5/pn4)c1=(11/7)=1.^571428
1⅄1Qn5=(pn6/pn5)c1=(13/11)=1.^18
1⅄1Qn6=(pn7/pn6)c1=(17/13)=1.^307692
1⅄1Qn7=(pn8/pn7)c1=(19/17)=1.^1176470588235294
1⅄1Qn8=(pn9/pn8)=(23/19)=1.^210526315789473684
1⅄1Qn9=(pn10/pn9)=(29/23)=1.^2608695652173913043478
1⅄1Qn10=(pn11/pn10)=(31/29)=1.^0689655172413793103448275862
1⅄1Qn11=(pn/pn)=(37/31)=1.^193548387096774
1⅄1Qn12=(pn/pn)=(41/37)=1.^108
1⅄1Qn13=(pn/pn)=(43/41)=1.^04878
1⅄1Qn14=(pn/pn)=(47/43)=1.^093023255813953488372
1⅄1Qn15=(pn/pn)=(53/47)=1.^12765957446808510638297872340425531914893610702
1⅄1Qn16=(pn/pn)=(59/53)=1.^1132075471698
1⅄1Qn17=(pn/pn)=(61/59)=1.^0338983050847457627118644067796610169491525423728813559322
1⅄1Qn18=(pn/pn)=(67/61)=1.^098360655737704918032786885245901639344262295081967213114754
1⅄1Qn19=(pn/pn)=(71/67)=1.^059701492537313432835820895522388
1⅄1Qn20=(pn/pn)=(73/71)=1.^02816901408450704225352112676056338
1⅄1Qn21=(pn/pn)=(79/73)=1.^08219178
1⅄1Qn22=(pn/pn)=(83/79)=1.^0506329113924
1⅄1Qn23=(pn/pn)=(89/83)=1.^07228915662650602409638554216867469879518
1⅄1Qn24=(pn/pn)=(97/89)=1.^08988764044943820224719101123595505617977528
1⅄1Qn25=(pn/pn)=(101/97)=1.^04123092783505154639175257731958762886597938144329896907216494845360820618
1⅄1Qn26=(pn/pn)=(103/101)=1.^0198
1⅄1Qn27=(pn/pn)=(107/103)=1.^0388349514563106796111662136504854368932
1⅄1Qn28=(pn/pn)=(109/107)=1.^01869158878504672897196261682242990654205607476635514
1⅄1Qn29=(pn/pn)=(113/109)=1.^0366972477064220183486238532110091743119266055045871559633027522935779816513758712844
1⅄1Qn30=(pn/pn)=(127/113)=1.^123893805308849557522
1⅄1Qn31=(pn/pn)=(131/127)=1.^031496062992125984251968503937007874015748
1⅄1Qn32=(pn/pn)=(137/131)=1.^045801526717557251908396946564885496183206106870229007633587786259541984732824427480916030534351145038167938931297099236641221374
1⅄1Qn33=(pn/pn)=(139/137)=1.^01459854
1⅄1Qn34=(pn/pn)=(149/139)=1.^071942446043165474820143884892086330935251798561151080291955395683453237410
1⅄1Qn35=(pn/pn)=(151/149)=1.^01343624295302
1⅄1Qn36=(pn/pn)=(157/151)=1.^0397350993377483443708609271523178807284768211920529801324503311258278145695364238410596026490066225165562913907218543046357615894
1⅄1Qn37=(pn/pn)=(163/157)=1.^038216560509554140127388535031847133757961783439490445859872611464968152866242
1⅄1Qn38=(pn/pn)=(167/163)=1.^024539877300613496932515337423312883435582822085889570552147239263803680981595092
1⅄1Qn39=(pn/pn)=(173/167)=1.^0359281437125748502994011976047904191616766467065868263473053892215568862275449101796407185628742514970059880239520958083832335329341317365269461077844311377245508982
1⅄1Qn40=(pn/pn)=(179/173)=1.^034682080924554913294797687861271676300578
1⅄1Qn41=(pn/pn)=(181/179)=1.^0111731843575418994413407821229050279329608936536312849162
1⅄1Qn42=(pn/pn)=(191/181)=1.^005524861878453038674033149171270718232044198895027624309392265193370165745856353591160220994475138121546961325966850828729281767955801104972375690607734806629834254143646408839779
1⅄1Qn43=(pn/pn)=(193/191)=1.^01047120418848167539267015706806282722513089005235602094240837696335078534031413612565445026178
1⅄1Qn44=(pn/pn)=(197/193)=1.^02072538860103626943005181347150259067357512953367875647668393782383419689119170984455958549222797927461139896373069948186528497409326424870466321243523316062176165803108808290155440414507772
1⅄1Qn45=(pn/pn)=(199/197)=1.^01015228426395939086294416243654822335025380710659898477157360406091370558375634517766497461928934
1⅄ᐱ
∈1(⅄ᐱ) is a set path that differs from set path ∈2(⅄ᐱ) and ∈3(⅄ᐱ) of ∈(ᐱ)
∈1(⅄ᐱ) is a ratio of divided variables of YφΘPQAMVWEFIHDBOGLKUJRZTS using the later divided by previous path 1⅄ for ᐱ
1⅄ᗑ
∈1(⅄ᗑ) is a set path that differs from set path ∈2(⅄ᗑ) and ∈3(⅄ᗑ) of ∈(ᗑ)
ᗑ=(ᐱ/ᐱ) for paths 1⅄, 2⅄, and 3⅄ of ᗑ variables
1∘⧊°
∘⧊° represents a variable of change from a complex system of ratios applicable to a variable in factoring of the ∘⧊° variable. ∘⧊°n1c1x0=0 for example and ∘⧊°n1c1x1=∘⧊°n1c1 the numeral product of the factor times 1 that ∘⧊°n1c1x2 and ∘⧊°n1c2x2 will equal products that are not equal to eachothers products based on the cycle stem variant of ∘⧊°c1 and ∘⧊°c2
APPLY NUMERAL VALUES TO NEXT ARRAY OF A NEW 10 BASE 3 PART RATIO OF MORE VARIANT SETS
⑆⨊=0∘⧊° to 1∘⧊° to 10∘⧊° . . . and so on
presets to set function cycle cell array base matrice .3 : .33 : .333 : .3333 .→... (f) function cn cycle degree of 1/3 : 2/3
33° degree base sets decimal numerated stem cell cycle variants matrix of phi prime core radicals
⑆⨊=0∘⧊°→ 6∘⧊° of φ : Q at 0.33 2:1
1∘⧊°∈(nφncn/nQncn/nφncn) : (nφncn/nQncn)/nφncn) : (nφncn/(nQncn/nφncn)
2∘⧊°∈(nφncn/nφncn/nQncn) : (nφncn/nφncn)/nQncn) : (nφncn/(nφncn/nQncn)
3∘⧊°∈(nQncn/nφncn/nφncn) : (nQncn/nφncn)/nφncn) : (nQncn/(nφncn/nφncn)
4∘⧊°∈(nQncn/nφncn/nQncn) : (nQncn/nφncn)/nQncn) : (nQncn/(nφncn/nQncn)
5∘⧊°∈(nQncn/nQncn/nφncn) : (nQncn/nQncn)/nφncn) : (nQncn/(nQncn/nφncn)
6∘⧊°∈(nφncn/nQncn/nQncn) : (nφncn/nQncn)/nQncn) : (nφncn/(nQncn/nQncn)
0∘⧊° →1∘⧊° → 2∘⧊° → 3∘⧊° → 4∘⧊°→ 5∘⧊°→ 6∘⧊°
then
0∘⧊° →1∘⧊° →∈(nφncn/nφncn/nφncn)
0∘⧊° →1∘⧊° →∈(nQncn/nQncn/nQncn)
then applied to ⑆⨊=φ:Q0∘⧊°→ φ:Q6∘⧊° of φ : Q at 0.33 2:1
with matrix of 3 parts nφncn
∈(nφncn/nφncn/nφncn) : (nφncn/nφncn)/nφncn) : (nφncn/(nφncn/nφncn)
and matrix of 3 parts nQncn
∈(nQncn/nQncn/nQncn) : ∈(nQncn/nQncn)/nQncn) : ∈(nQncn/(nQncn/nQncn)
to define variables
⑆⨊∈(nφncn/nQncn/nφncn) : (nφncn/nQncn)/nφncn) : (nφncn/(nQncn/nφncn)
of potential variant complexes that support 0.33 2:1 with one of 3 parts having a triple base variant.
∈(∈(nφncn/nφncn/nφncn)/nQncn/nφncn) : (∈(nφncn/nφncn/nφncn)/nQncn)/nφncn) : (∈(nφncn/nφncn/nφncn)/(nQncn/nφncn)
and
∈(nφncn/nQncn/∈(nφncn/nφncn/nφncn)) : (nφncn/nQncn)/∈(nφncn/nφncn/nφncn)) : (nφncn/(nQncn/∈(nφncn/nφncn/nφncn))
and
∈(nφncn/∈(nQncn/nQncn/nQncn)/nφncn) : (nφncn/∈(nQncn/nQncn/nQncn)/nφncn) : (nφncn/(∈(nQncn/nQncn/nQncn)/nφncn)
for all ⑆⨊=0∘⧊°→ 6∘⧊° of φ : Q at 0.33 2:1
1∘⧊°∈(nφncn/nQncn/nφncn) : (nφncn/nQncn)/nφncn) : (nφncn/(nQncn/nφncn)
2∘⧊°∈(nφncn/nφncn/nQncn) : (nφncn/nφncn)/nQncn) : (nφncn/(nφncn/nQncn)
3∘⧊°∈(nQncn/nφncn/nφncn) : (nQncn/nφncn)/nφncn) : (nQncn/(nφncn/nφncn)
4∘⧊°∈(nQncn/nφncn/nQncn) : (nQncn/nφncn)/nQncn) : (nQncn/(nφncn/nQncn)
5∘⧊°∈(nQncn/nQncn/nφncn) : (nQncn/nQncn)/nφncn) : (nQncn/(nQncn/nφncn)
6∘⧊°∈(nφncn/nQncn/nQncn) : (nφncn/nQncn)/nQncn) : (nφncn/(nQncn/nQncn)
0∘⧊° →1∘⧊° → 2∘⧊° → 3∘⧊° → 4∘⧊°→ 5∘⧊°→ 6∘⧊°
and such of potential variant complexes that support 0.33 2:1 with one of variables having a two base variant.
with application to ⑆⨊=φ:Q0∘⧊°→ φ:Q6∘⧊° of φ : Q at 0.33 2:1
with matrix of two parts nφncn and nQncn
∈(nφncn/nφncn) and ∈(nQncn/nQncn)
of
⑆⨊∈(nφncn/nφncn)/nQncn/nφncn) : (nφncn/nφncn)/nQncn)/nφncn) : (nφncn/nφncn)/(nQncn/nφncn)
⑆⨊∈(nφncn/nQncn/(nφncn/nφncn) : (nφncn/nQncn)/(nφncn/nφncn) : (nφncn/(nQncn/(nφncn/nφncn)
⑆⨊∈(nφncn/(nQncn/nQncn)/nφncn) : (nφncn/(nQncn/nQncn))/nφncn) : (nφncn/((nQncn/nQncn)/nφncn)
for all ⑆⨊=0∘⧊°→ 6∘⧊° of φ : Q at 0.33 2:1 with a paired set variant
1∘⧊°∈(nφncn/nQncn/nφncn) : (nφncn/nQncn)/nφncn) : (nφncn/(nQncn/nφncn)
2∘⧊°∈(nφncn/nφncn/nQncn) : (nφncn/nφncn)/nQncn) : (nφncn/(nφncn/nQncn)
3∘⧊°∈(nQncn/nφncn/nφncn) : (nQncn/nφncn)/nφncn) : (nQncn/(nφncn/nφncn)
4∘⧊°∈(nQncn/nφncn/nQncn) : (nQncn/nφncn)/nQncn) : (nQncn/(nφncn/nQncn)
5∘⧊°∈(nQncn/nQncn/nφncn) : (nQncn/nQncn)/nφncn) : (nQncn/(nQncn/nφncn)
6∘⧊°∈(nφncn/nQncn/nQncn) : (nφncn/nQncn)/nQncn) : (nφncn/(nQncn/nQncn)
0∘⧊° →1∘⧊° → 2∘⧊° → 3∘⧊° → 4∘⧊°→ 5∘⧊°→ 6∘⧊°
then
an application of a quadradic 4 base variant to ⑆⨊=0∘⧊° would then follow in a structured base with
0∘⧊° →1∘⧊° →∈(nφncn/nφncn/nφncn/nφncn)
0∘⧊° →1∘⧊° →∈(nQncn/nQncn/nQncn/nQncn)
with matrix of four parts nφncn and nQncn of φ : Q at 0.33 2:1
⑆⨊=0∘⧊°→ 6∘⧊° of φ : Q at 0.33 2:1
1∘⧊°∈(nφncn/nQncn/nφncn) : (nφncn/nQncn)/nφncn) : (nφncn/(nQncn/nφncn)
2∘⧊°∈(nφncn/nφncn/nQncn) : (nφncn/nφncn)/nQncn) : (nφncn/(nφncn/nQncn)
3∘⧊°∈(nQncn/nφncn/nφncn) : (nQncn/nφncn)/nφncn) : (nQncn/(nφncn/nφncn)
4∘⧊°∈(nQncn/nφncn/nQncn) : (nQncn/nφncn)/nQncn) : (nQncn/(nφncn/nQncn)
5∘⧊°∈(nQncn/nQncn/nφncn) : (nQncn/nQncn)/nφncn) : (nQncn/(nQncn/nφncn)
6∘⧊°∈(nφncn/nQncn/nQncn) : (nφncn/nQncn)/nQncn) : (nφncn/(nQncn/nQncn)
0∘⧊° →1∘⧊° → 2∘⧊° → 3∘⧊° → 4∘⧊°→ 5∘⧊°→ 6∘⧊°
⑆⨊∈((nφncn/nφncn/nφncn/nφncn))/nQncn/nφncn) :
((nφncn/nφncn/nφncn/nφncn))/nQncn)/nφncn) :
((nφncn/nφncn/nφncn/nφncn))/(nQncn/nφncn)
⑆⨊∈(nφncn/nQncn/((nφncn/nφncn/nφncn/nφncn)) :
(nφncn/nQncn)/((nφncn/nφncn/nφncn/nφncn)) :
(nφncn/(nQncn/((nφncn/nφncn/nφncn/nφncn))
⑆⨊∈(nφncn/((nQncn/nQncn/nQncn/nQncn))/nφncn) :
(nφncn/((nQncn/nQncn/nQncn/nQncn))/nφncn) :
(nφncn/((nQncn/nQncn/nQncn/nQncn))/nφncn)
for all ⑆⨊=0∘⧊°→ 6∘⧊° of φ : Q at 0.33 2:1 using a quadradic base variant
before progressing to 5th, 6th, and 7th parts at an 8th application to 9 basic variants of 0∘⧊°
that 2 . 3 . 5 . 13 . 89 . 1597 . 28657 . 514229 share many 0's of to 1's of y p φ Q of 0∘⧊°
where an entirely unique complex 10 starts 10∘⧊° from a few 0's and 1's
then apply
| 433494437 | : | 0∘⧊°→10∘⧊° |
then apply
function ⑆⨊=0∘⧊° '° exponential of variants
function ⑆⨊=0∘⧊° µ subset variants
as placement of the subset µ micron or exponent is applied and defined
function ⑆⨊=0∘⧊° x multiple variants
function ⑆⨊=0∘⧊° + add variants
function ⑆⨊=0∘⧊° - subtract variants
where variable factor of stem cell cycle strings are divided in matrix functions
function ⑆⨊=0∘⧊° / divide variants
for all ⑆⨊=0∘⧊° to 1∘⧊° to 10∘⧊°
APPLY P/Q and Q/P NUMERAL VALUES TO NEXT ARRAY OF A NEW 10 BASE 3 PART RATIO OF MORE VARIANT SETS
for all ⑆⨊=0∘⧊° to 1∘⧊° to 10∘⧊°
APPLY AMVW NUMERAL VALUES TO NEXT ARRAY OF A NEW 10 BASE 3 PART RATIO OF MORE VARIANT SETS
for all ⑆⨊=0∘⧊° to 1∘⧊° to 10∘⧊°
APPLY 1⅄A 1⅄M 1⅄V 1⅄W NUMERAL VALUES TO NEXT ARRAY OF A NEW 10 BASE 3 PART RATIO OF MORE VARIANT SETS
for all ⑆⨊=0∘⧊° to 1∘⧊° to 10∘⧊°
APPLY 1ᐱ 1ᗑ 1⅄ᐱ 1⅄ᗑ NUMERAL VALUES TO NEXT ARRAY OF A NEW 10 BASE 3 PART RATIO OF MORE VARIANT SETS
for all ⑆⨊=0∘⧊° to 1∘⧊° to 10∘⧊°
1∘∇°
Applicable as a notation of loss in a system to a degree term expressed as Y, φ, P, Q, P/Y, Y/P, φ/P, P/φ, φ/Y, Y/φ, φ/Q, Q/φ, P/Q, Q/P, Y/Q, Q/Y, A, M, V, W, ⅄A, ⅄M, ⅄V, ⅄W, ᐱ, ᗑ, ⅄ᐱ, ⅄ᗑ, and 1∘⧊° systems as ∂δ a partially derived change to system 1∘∇° through 10∘∇° for example. Whether the change to the system is found to be a complex numeral base or a whole natural number, the change to the system is noted with 1∘∇°=∂δ1φn3=2 of 1∘⧊° for example meaning a change to system 1∘⧊° is 2 partially derived from variable 1φn3 found in the 1∘∇°=∂δ1φn3 where 1φn3=2 with function potential of 1⅄, 2⅄, 1X, 1+⅄, 1-⅄, 2-⅄ or more paths of the partial derived 2 that was defined as 2 of the function 1∘∇°=∂δ1φn3
if 1∘∇°=∂δ1φn3 =2 is the applied as a loss to a system of 1φn21 for example in subtraction from that 1φn21 system 1.6^1803399852
then 1.6^1803399852-2 will equal a number less than 1 and depending on the degree of the stem cycle variant extent of the decimal in 1φn21 a difference will be a negative difference that when rounded in exponential functions a far extreme degree off from accurate.
Likewise 2-1.6^1803399852 and 2-1.6^18033998521803399852 and 2-1.6^180339985218033998521803399852 will equal completely different positive decimal differences that depend on the cycle stem degree of 1φn21cn that was not noted for this explanation of the cn differences
0 1 01 10.1 101 1.01 0.1
0 1 01 10.1 101 1.01 0.1
a genesis code of logic numerals to binary translation of one version of a shell language form of binary.
whole line
00110000
00110001
00110000 00110001
00110001 00110000 00101110 00110001
00110001 00110000 00110001
00110001 00101110 00110000 00110001
00110000 00101110 00110001
segment one of line 0 1 01 10 what is between the decimal of whole line
00110000
00110001
00110000 00110001
00110001 00110000
segment two 1 101 1 where prime 101 is what is between the decimal of whole line
00110001
00110001 00110000 00110001
00110001
segment three 01 and 0 what is between the decimal of whole line
00110000 00110001
00110000
segment four 1 what is between the decimal of whole line
00110001
segment five what is between the numerals containing first decimal integer of whole line 0 1 01 10.1
00110000
00110001
00110000 00110001
00110001 00110000 00101110 00110001
segment six what is between the numerals containing two decimal integers of whole line 10.1 101 1.01
00110001 00110000 00101110 00110001
00110001 00110000 00110001
00110001 00101110 00110000 00110001
segment seven what is between the numerals containing last two decimal integers of whole line 101 0.1
00110001 00101110 00110000 00110001
00110000 00101110 00110001
segment eight what is between the numerals containing all three decimal integers of whole line 10.1 101 1.01 0.1
00110001 00110000 00101110 00110001
00110001 00110000 00110001
00110001 00101110 00110000 00110001
00110000 00101110 00110001
what is between 0 and 0.1 of this logic line of seven numerals with what is between 0 and 10, what is between 1 and 10, what is between 0 and 10.1, what is between 0 and 0.1, what is between 0 and 101, what is between 0.1 and 101, what is between 1 and 101 what is between 1.01 and 101, what is between 0 and 1, has been explained on this page of 10 base numerals and eight bits in many ways.
Reason for 0.1 being last in the line is the decimal that can separate it from the line of a new line starting from one rather than zero and why this is described as a genesis line code logic. 0 itself can not be repeated if something were nothing to form one thing containing all of nothing. From the one in the end of the line at 0.1 being the end of the line rather than 0 0.1 1 as an order the string compliments a base ten eight and seven factors to display more than one decimal length past 0.1 at 1.01 and 1.01 lands between 0 and 10.1 and 0.01 lands between 0 and 0.1 so many cycles of a ten base logic are in fact in this genesis logic line.
if a new line is then made it can be more complex and would follow after this line depending on the length of decimal to the matrix of a zero one array based in tens or tenths. This is just a logical expression of something and nothing and many parts between and after nothing condensed of all nothing to something. 0.1 is not 0 1 so the beginning of the line is not the same as the end of the line. Within segment two is 1 101 1 that in logic terms is a split path logic gate of 1 to 101 and 101 to 1 where a 1 to 1 as well as a 1 to 101 and 1 to 101 have diabatic potential. Within the simple logic of each segment of the entire line. 0 and 0.1 and have a range of an unlimited length of zeros between the 0. and the 1 in numeral values of tenths hundreths thousandths etcetra. 0.1 0.01 0.001
1 101 1 is not 11011
|0|
01111100 00110000 01111100
|1|
01111100 00110001 01111100
|01|
01111100 00110000 00110001 01111100
|10|
01111100 00110001 00110000 01111100
|10.1|
01111100 00110001 00110000 00101110 00110001 01111100
|101|
01111100 00110001 00110000 00110001 01111100
|1.01|
01111100 00110001 00101110 00110000 00110001 01111100
|0.1|
01111100 00110000 00101110 00110001 01111100
In this binary example that uses 0000 0000 to 1111 1111 a smaller set of 000 111 base array is foreign to the limit of the line being that 111 is out the line limit of 101. |0| |00| |000| |1| |11| |111| The binary example shell machine code is using 00110000 to represent ( 0 ) and 00110001 to represent ( 1 ) and 00101110 for ( . ) A machine might read 000111 as 00000111 or 00001110 or 00011100. 111 is a number that is 37 x 3 that are two primes yet 111 is beyond the limit of 101 and the two primes of 111 means the numeral 111 would be divided at a logic gate to which 3 and 37 are between the numerals of 0 and 101.
3 is between 0 and 10
3 is between 1 and 10
3 is between 01 and 10
3 is between 0.1 and 10
3 is between 1.01 and 10
3 is between 0 and 10.1
3 is between 1 and 10.1
3 is between 01 and 10
3 is between 0.1 and 10.1
3 is between 1.01 and 10.1
37 is between 10 and 101
37 is between 10.1 and 101
where a computer should not be making an error.
|111|≠3
machine language of logic gates of a line that can easily be programmed with a byte shift of fractions of time to try being unnoticed.
0 1 01 10.1 101 1.01 0.1 are seven numerals
zero
one
zero one
ten and 1 tenth
one hundred and one
one and one one hundreth
zero and one tenth
In the machine language of binary it simply takes another shell program language version of the binary translated to a different syntax that would mathematically put the power of a decimal place more valuable than the numeral one. The decimal point for example in a different binary translation would then be 00110000 to represent ( 0 ) and 00110001 to represent ( . ) and 00101110 for ( 1 ) that if such paths were changed in a syntax, the machine code would be called a float point byte shift based on 1.0
A machine and the machine decimal limit is a critical point before any binary base translation of those numbers that the binary itself can have many paths of translation of its own. The same application can be seen or noted in microbiological forms and their chemical signals in the microbiological systems where many many chains of numeral instructions apply to the very elements that make up their matter and their function abilities. Another example aside from 0 1 0∘⧊° degree ° 0.1 medical library data systems is ADS Astrophysics data systems and communication between these systems.
While prime ratios of ∈2⅄1Qn1=(pn1/pn2) have ratio values that are around and or between the numbers of the line
0 1 01 10.1 101 1.01 0.1 the ratios land between 0 and 1 as well as 0 and 1.01 as well as 0 and 101
nφn1 has a zero core at each scale tier with a common factor of 0 just as does nφn1 with divisions incorporated with primes and Q ratios of primes
∈1φ/2⅄1Q=∈|φn1/(pn2/pn1)|=(0/1.5)=0
∈|φn2/2⅄1Q|=(yn2/yn1)/(pn2/pn1)=(1/0)/(3/2)=0
∈1φ/1⅄1Q=∈|φn1/(pn1/pn2)|=0
None of these 0 variables are 0.1 nor are they 1.
the variables are 0 with different definitions derived from 10 digit numerals of fibonacci and prime numbers explained from within just 0 1 to 10
0 1 01 10.1 101 1.01 0.1 are unique numbers in a line and basically are 7 keys to the internet of \\0
null point of any intranet
0 : 1 : 1
2 : 3 : 5 : 13 : 89 : 1597 : 28657 : 514229 : 433494437 are unique numbers of | 1000000007 | and |1138903170|
0 : 1 : 10 are unique numbers of these all just as are the ratios and decimal precision of phi/prime fractal polarization in quantum field mechanics
if something disrupts the 0's and 1's and dot (.)'s of your computer it is not nothing, it is something.
A system that rounds so much in math using pi of 3 digits such as 111 in byte shift is a system that can be mislead just as a c shell that has a base value of pi to a limited 7.4 radius with the factor base
1⅄1Qn30=(pn31/pn30)c1=(131/127)=1.^031496062992125984251968503937007874015748 example
where a decimal shift two places over and dropping the remainder of the decimal as many machine print out makes a computational display of 10.31496062992125984251968503937007874015748 where 1.0 is then seen as 10.3 and the next shift is 3.14 that the 10 is moved from for a viewer who does not process the loop of numerals in shell layer machine code numeral binary. if one log can move the decimal and extract the 1.0 then the 10. while using 3.1496062992125984251968503937007874015748 and dropping 96062992125984251968503937007874015748 of the numeral chain claiming it is beyond the machines print out limit of digit length, then a system as simple as 1 2 3 to produce a none error appearing as a |111| or |404| error is that easy.
While the user is mislead by a simple byte shift into a gate, the numerals for
1⅄1Qn30=(pn31/pn30)c1=(131/127)=1.^031496062992125984251968503937007874015748 can close the logic gate and cycle the simple prime cycles for cn of this prime base that extended past the 101 limit into a closed secondary system of
1⅄1Qn30=(pn31/pn30)c2=(131/127)=1.^031496062992125984251968503937007874015748031496062992125984251968503937007874015748
or more with cycles of cn numerals beyond the limit at the first logic gate of initial line from using pn31/pn30 of 1⅄1Q
at 0 1 01 10.1 101 1.01 0.1
A shell limit is a shell limit 101 and prime ratios mentioned cycle at the first remainder digit of the pn2/pn1 function for every later divided by previous to the 101 prime from 2 pairing division of prime later divided by prime previous.
314 is also the remainder before the remainder of the looping remainder 6 that can easily shift another shell of primes of 1.^038216560509554140127388535031847133757961783439490445859872611464968152866242=1⅄1Qn36=(pn37/pn36)c1=(163/157)
1⅄1Qn36 can also be looped at cn that make two functions of cycles at the discretion of the primes outside of the 101 limit.
Negating a decimal point in shell compilers is a simple error and not one a machine should be able to make.
0 1 01 10.1 101 1.01 0.1 is a line with a limit of 101 not 00101110 and not 314 to a 6 looping remainder ∞
1⅄, 2⅄, 1X, 1+⅄, 1-⅄, 2-⅄, 3⅄nc
and
0 1 01 10.1 101 1.01 0.1
are each 7 factors of different logics each within a 10 base numeral beyond zero and multiple definitions of zero are explained on this page
A variable such as 0.6 or 0.66 or 0.618 such as 314 in rounded numerals byte shifts means that a variable such as
∈(1⅄3φn3)c2 of ∈(1⅄3φn3)c2 of (2⅄2φn4=(1φn5c2/1φn4)/1⅄2φn3c1)=(0.90361445783132530120481927710843373493875/1.^3)=0.61816496765625576163113994439295644114913^461538
having a 0. before a 618 has in fact 39 numerals after it before a cycle of a decimal stem 461538 ever even begins and displaying numerals limited to 10 or 12 factor digits long means a great deal of byte shifts can occur in fractions of computer computing seconds while it sometimes takes minutes hours days weeks or years to find a simple byte shift root. While a user interface displays 1.618 minus 0.618 equals 1 a shell of 111 or 000 are easily parted from 0 1 01 10.1 101 1.01 0.1
Variable 1φn11=1.6^18 or 1.618 or 1.61818 is an 11th variable and 168 is beyond 101 limit of the line 0 1 01 10.1 101 1.01 0.1
numeral 11 of 1φ is beyond the limit of 10 and 10.1 for simple logic where 0 00 1 11 10 01 are a logic gate of 6 that 7 numbers of
0 1 01 10.1 101 1.01 0.1 genesis line that can structure 1φn1 and 2φn1 and 3φn1 and 4φn1 and 5φn1 and 6φn1 and 7φn1 and 8φn1 and 9φn1 and 10φn1 to ∞φn1 as the n1 of each phi set tier has proven is level of 0 with a different definition of the zero in the genesis line. Whether a zero is an absolute power of zero being |0|=1 then the 0 and 1 of the genesis line represent that logical fact. Any variable defined as 1 of what the variable is can then be structured to the 1 of the genesis line just as and 0 can be structured to the 0 of the genesis line. No zero can replace the genesis line 0 and no one can replace the genesis line 1.
if ∈(1⅄3φn3)c2 of (2⅄2φn4=(1φn5c2/1φn4)/1⅄2φn3c1)=(0.90361445783132530120481927710843373493875/1.^3)=0.61816496765625576163113994439295644114913^461538
and
(2⅄2φn4=(1φn5c2/1φn4)/1⅄2φn3c1)c2=(0.90361445783132530120481927710843373493875/1.^3)=0.61816496765625576163113994439295644114913^461538461538
a micron µ of difference applied to an exponential µ10 or a cube root ∛ incorrectly in a very critical and complex equation will produce an incorrect estimate that the precision of the micron difference proves is critical.
An algorithm of factoring an equation of a multiple of a decimal ratio explained on this page is the basics of an encryption key algorithm or an algorithm of plus or minus or a chain of sequence using these numerals are the simple basics of functions to these radical constants that complex microbiological and chemical structures utilize in their structures.
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