d767a7a4-d52b-4674-8ce0-6a3d5d4dfa67 22 4 5 decimal

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

start 0 : end 1 : N 100 : 13 mat u v N var u v u v u - N / + (range : v start end N var : 31 sys

a 1 : b 1 : xc 0 : yc 0 : 14 mat

S j 1 v rows range y j el i 2 * π * v j el * exp eval : for a y Re * xc + b y Im * yc + augment 21 line :

S xc yc + 100 red 1 5 mat 2 1 sys

S 11 mat 10 0.998 0.0628 0.9921 0.1253 0.9823 0.1874 0.9686 0.2487 0.9511 0.309 0.9298 0.3681 0.9048 0.4258 0.8763 0.4818 0.8443 0.5358 0.809 0.5878 0.7705 0.6374 0.729 0.6845 0.6845 0.729 0.6374 0.7705 0.5878 0.809 0.5358 0.8443 0.4818 0.8763 0.4258 0.9048 0.3681 0.9298 0.309 0.9511 0.2487 0.9686 0.1874 0.9823 0.1253 0.9921 0.0628 0.998 11015 -^* - 1 0.0628 - 0.998 0.1253 - 0.9921 0.1874 - 0.9823 0.2487 - 0.9686 0.309 - 0.9511 0.3681 - 0.9298 0.4258 - 0.9048 0.4818 - 0.8763 0.5358 - 0.8443 0.5878 - 0.809 0.6374 - 0.7705 0.6845 - 0.729 0.729 - 0.6845 0.7705 - 0.6374 0.809 - 0.5878 0.8443 - 0.5358 0.8763 - 0.4818 0.9048 - 0.4258 0.9298 - 0.3681 0.9511 - 0.309 0.9686 - 0.2487 0.9823 - 0.1874 0.9921 - 0.1253 0.998 - 0.0628 1 - 31015 -^* - 0.998 - 0.0628 - 0.9921 - 0.1253 - 0.9823 - 0.1874 - 0.9686 - 0.2487 - 0.9511 - 0.309 - 0.9298 - 0.3681 - 0.9048 - 0.4258 - 0.8763 - 0.4818 - 0.8443 - 0.5358 - 0.809 - 0.5878 - 0.7705 - 0.6374 - 0.729 - 0.6845 - 0.6845 - 0.729 - 0.6374 - 0.7705 - 0.5878 - 0.809 - 0.5358 - 0.8443 - 0.4818 - 0.8763 - 0.4258 - 0.9048 - 0.3681 - 0.9298 - 0.309 - 0.9511 - 0.2487 - 0.9686 - 0.1874 - 0.9823 - 0.1253 - 0.9921 - 0.0628 - 0.998 - 31015 -^* 1 - 0.0628 0.998 - 0.1253 0.9921 - 0.1874 0.9823 - 0.2487 0.9686 - 0.309 0.9511 - 0.3681 0.9298 - 0.4258 0.9048 - 0.4818 0.8763 - 0.5358 0.8443 - 0.5878 0.809 - 0.6374 0.7705 - 0.6845 0.729 - 0.729 0.6845 - 0.7705 0.6374 - 0.809 0.5878 - 0.8443 0.5358 - 0.8763 0.4818 - 0.9048 0.4258 - 0.9298 0.3681 - 0.9511 0.309 - 0.9686 0.2487 - 0.9823 0.1874 - 0.9921 0.1253 - 0.998 0.0628 - 151015 -^* 1012 mat 11 mat

a b xc yc start end N S u v N var u v u v u - N / + (range : uv start end N var : j 1 uv rows range y j el i 2 * π * uv j el * exp eval : for a y Re * xc + b y Im * yc + augment 41 line :

1 0.5 0 0 0 0.5 100 S 0 0 + 50 red 1 5 mat 2 1 sys

start 0 : end 1 : N 200 : 13 mat a 1 : b 0.5 : xc 0 : yc 0 : 14 mat 21 sys

X a b xc yc start end N S 1 col : Y a b xc yc start end N S 2 col : circle_1 X Y augment : circle_2 Y X augment : 41 line

θ rot θ cos θ sin - θ sin θ cos 22 mat :

θ π - 4 / :

θ 0.7854 -

circle_1 xc yc + 100 red 1 5 mat circle_2 3 1 sys circle_1 θ rot * x 2 1 sys

start 0 : end 1 : N 200 : 13 mat a 1 : b 1 : xc 0 : yc 0 : 14 mat 21 sys

X a b xc yc start end N S 1 col : Y a b xc yc start end N S 2 col : circle_1 X Y augment : circle_2 circle_1 1.5 * : 41 line

circle_1 circle_2 2 1 sys

θ f 3.102 θ - exp * 14.921 θ - exp * 71.777 θ - exp * 345.282 θ - exp * 41 mat :