00cd5c44-a098-4d7d-9082-e51cccd06c5d 25 2 5 decimal

&[DATE] &[TIME] - &[FILENAME]

a b vect3cos a b * a a * sqrt b b * sqrt * / :

a b vect3sin 1 a b vect3cos 2^- sqrt :

a b vect3angle1 a b vect3sin asin : 1 a b * a a * sqrt b b * sqrt * / (2^- sqrt asin

a b vect3angle2 a b vect3cos acos : a b * a a * sqrt b b * sqrt * / acos

a b vect3angle3 a b vect3sin a b vect3cos atan : 1 a b * a a * sqrt b b * sqrt * / (2^- sqrt a b * a a * sqrt b b * sqrt * / atan

a b vect3angle4 a b vect3sin a b vect3cos / atan :

a b vect3angle4 1 a b * a a * sqrt b b * sqrt * / (2^- sqrt a b * a a * sqrt b b * sqrt * / / atan

x y Vm x y D - 31 mat :

x y Vφ 0 y D - 31 mat :

x y Vθ x 0 D - 31 mat :

tmp x y Vm x y Vφ vect3angle1 x diff : x x 2^y 2^+ D 2^+ x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt - (x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt + (* - (* x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt - (x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt + (* x 2^y 2^+ D 2^+ sqrt 2^/ sqrt * x 2^y 2^+ D 2^+ (x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt - (* x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt + (* 1 x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt - (x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt + (* x 2^y 2^+ D 2^+ sqrt 2^/ sqrt 2^- sqrt * /

x y 2^D 2^+ (* x 2^y 2^+ D 2^+ sqrt - y 2^D 2^+ sqrt + (x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt + (* x 2^y 2^+ D 2^+ / - sqrt * x 2^y 2^+ D 2^+ (x 2^y 2^+ D 2^+ sqrt - y 2^D 2^+ sqrt + (* x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt + (* y 2^D 2^+ x 2^y 2^+ D 2^+ / sqrt * / -

res tmp num2str eval : {x*(x^2+y^2+D^2-(sqrt(x^2+y^2+D^2)-sqrt(y^2+D^2))*(sqrt(x^2+y^2+D^2)+sqrt(y^2+D^2)))*sqrt({(sqrt(x^2+y^2+D^2)-sqrt(y^2+D^2))*(sqrt(x^2+y^2+D^2)+sqrt(y^2+D^2))}/{(sqrt(x^2+y^2+D^2))^2})}/{(x^2+y^2+D^2)*(sqrt(x^2+y^2+D^2)-sqrt(y^2+D^2))*(sqrt(x^2+y^2+D^2)+sqrt(y^2+D^2))*sqrt(1-(sqrt({(sqrt(x^2+y^2+D^2)-sqrt(y^2+D^2))*(sqrt(x^2+y^2+D^2)+sqrt(y^2+D^2))}/{(sqrt(x^2+y^2+D^2))^2}))^2)}

tmp1 res str2num :

x y res1 tmp1 rationalize expand symbolic simplify maple : y 2^D 2^+ sqrt x 2^y 2^+ D 2^+ /

y 2^D 2^+ sqrt x 2^y 2^+ D 2^+ /

tmp2 x y Vm x y Vφ vect3angle2 x diff :

lastError Matrix must be square.

tmp x y Vm x y Vφ vect3angle3 x diff :

res tmp num2str eval : {x*(x^2+y^2+D^2-(sqrt(x^2+y^2+D^2)-sqrt(y^2+D^2))*(sqrt(x^2+y^2+D^2)+sqrt(y^2+D^2)))*sqrt({(sqrt(x^2+y^2+D^2)-sqrt(y^2+D^2))*(sqrt(x^2+y^2+D^2)+sqrt(y^2+D^2))}/{(sqrt(x^2+y^2+D^2))^2})}/{(x^2+y^2+D^2)*(sqrt(x^2+y^2+D^2)-sqrt(y^2+D^2))*(sqrt(x^2+y^2+D^2)+sqrt(y^2+D^2))*(1+(sqrt({(sqrt(x^2+y^2+D^2)-sqrt(y^2+D^2))*(sqrt(x^2+y^2+D^2)+sqrt(y^2+D^2))}/{(sqrt(x^2+y^2+D^2))^2}))^2)}

tmp3 res str2num :

res3 tmp3 rationalize expand symbolic simplify maple : y 2^D 2^+ x 2^y 2^+ D 2^+ sqrt 2 x 2^* y 2^+ D 2^+ (* /

tmp4 x y Vm x y Vφ vect3angle4 x diff :

lastError Matrix must be square.

D 1 : α 0.375 : 12 mat

x y f y 2^D 2^+ sqrt x 2^y 2^+ D 2^+ / α - :

Mesh U, V  within the bounds L, H L H N xd U 0 : dx H L - N / : i 1 N 1 + range U i el L dx i * dx - (+ : for U 41 line :

Generate the symmetric square [U,V] matrix x y f U V Sym r 1 : i 1 U rows range c 1 : j 1 V rows range M r c el U i el V j el f eval : c c 1 + : 21 line for r r 1 + : 31 line for M 31 line :

M Low High Scale High Low - (M M Min - M Max M Min - 106 -^+ / (* Low + :

L 10 - : H 10 : N 50 : 13 mat

U L H N xd :

V U :

M x y f U V Sym :

M M 0255 Scale :

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 M

D 1 : α 0.375 : 12 mat

x y q x x 2^y 2^+ D 2^+ x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt - (x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt + (* - (* x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt - (x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt + (* x 2^y 2^+ D 2^+ sqrt (2^/ sqrt * x 2^y 2^+ D 2^+ (x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt - (* x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt + (* 1 x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt - (x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt + (* x 2^y 2^+ D 2^+ sqrt (2^/ sqrt (2^- sqrt * / α - :

The script is correct as sanity check below but result is NOT ! as proved ... Ah ! As it looks Maple is the guilty companion.

x y 2^D 2^+ (* x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt - (x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt + (* x 2^y 2^+ D 2^+ / sqrt * x 2^y 2^+ D 2^+ (x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt - (* x 2^y 2^+ D 2^+ sqrt y 2^D 2^+ sqrt + (* y 2^D 2^+ x 2^y 2^+ D 2^+ / sqrt * / rationalize expand symbolic simplify maple 1 y 2^+ sqrt 1 x 2^+ y 2^+ /