374dd010-0e7d-49a2-b9d6-208bae1390a5 35 15 12 decimal

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

Native plot . . . α ≠ 0

1. zoom X direction ' α ' 2. ± α => shift/zoom/mirror

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3 appVersion 0.98.6179 ≡

Loop coefficient α 9 - (π * : 28.274 -

some demo x X 3^x X cos x X Gamma x X erf 41 sys

0.5 α * 14.1372 -

parse the kernel minX 0 : maxX α : 12 mat

parsing kernel ω X 2 ω * minX - maxX - maxX minX - / :

x f x X 3^:

plot x f 0.5 α * 10 0.5 α * 10 - 22 mat 0.5 α * 0 0.5α 12 blue 15 mat 31 sys :

x y axes x y / - :

plot x f 0.5 α * 1 0.5 α * 1 - 2 2 mat axes 3 1 sys

0.5 α * 14.1372 -

x X Gamma 0.5 α * 10 0.5 α * 10 - 2 2 mat 0.5 α * 0 0.5α 12 blue 1 5 mat 3 1 sys x X erf 0.5 α * 10 0.5 α * 10 - 2 2 mat 0.5 α * 0 0.5α 12 blue 1 5 mat 3 1 sys x X cos 0.5 α * 10 0.5 α * 10 - 2 2 mat 0.5 α * 0 0.5α 12 blue 1 5 mat 3 1 sys

x X cos 0 ≡ x 016 solve 8.069

0 X erf 0.843 -

i 32 - 16 31.5 - range :

i i X erf vectorize augment 0.5 α * 0.5 0.5 α * 0.5 - 2 2 mat 2 1 sys

x X erf vectorize x 2 α * 0 int 27.564

x circle 1 x 2^- sqrt ± :

x circle 1 x 2 ^ X - sqrt

Native plot . . . α ≠ 0

1. zoom X direction ' α ' 2. ± α => native/mirror

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3 appVersion 0.98.6179 ≡

Loop ... ± α native/mirror α 20 - :

some demo x X 3^x X cos x X Gamma x X erf 41 sys

parse the kernel minX α - : maxX α : 12 mat

parsing kernel ω X 2 ω * minX - maxX - maxX minX - / :

x f x X 3^:

x y axes x y / - :

x f x f axes 2 1 sys x X erf x X Gamma x - X Gamma x X Gamma - x - X Gamma - 4 1 sys x X cos x X sin 2 1 sys

1rst derivative x D 2 π sqrt / x 2^- exp * :

x D X x D x diff X 2 1 sys

x X erf vectorize x 016 int 6.54 -

x D X x D x diff X + 0 ≡ x 02 solve 0.5

0.5 D X 11 mat 0.044 - 11 mat

recast algo style x Ω x D x diff X :

0.5 Ω 0.044

x circle 1 x 2^- sqrt ± :

1 x 2 ^ X - sqrt 2 - 1 2 x * ( 2 ^ X - sqrt 2 - 2 1 sys x circle