4efd42d2-1756-471d-af39-e89137608dc5 19 6 9 decimal

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

x y f 1 x 2^y 2^+ (* 50 - :

a 0.75 :

b 50 :

f 3 x * sin 2 1 sys x y f a x 2 ^ y 2 ^ + ( * b - 1 1 sys

this plot would look weird if not "squared

The X_Y plot defaults square [134 pixels]... (134/8)=16.75 pica. For larger size square canvas, use the "plot circle" technique explained below ... similar to the 2D QuickPlot. ------------------------------ Both 2D & 3D QuickPlots default [230 x 150] pixels [28.75 x 18.75] pica. Both plots adjust each direction pixel x pixel. For both, in lieu of an external caliper, we use a function.

# #

1348 / 2308 / 1508 / 31 mat 16.75 28.75 18.75 31 mat

150

230

x 2 ^ y 2 ^ + 1 -

Size roughly wrt to work sheet grid: Click in the center of the plot, mouse zoom, adjust to square canvas.

R 1 : zoom/tune ≡

x y Doublet y R 2^- x 2^+ y 2^+ (* x 2^y 2^+ / :

The mouse zoom is "one pica" in each direction. Once you have rougly defined the size of the canvas, fine tune the muffed direction via the circle. Fine tune better via radius 'R'.

y F x y Doublet 0 ≡ x solve maple :

plot x F 1 el Re x F 2 el Re x F 1 el Im x F 2 el Im 41 sys :

plot plot

a 3 :

y x f x x 2^a y 2^* - (* 1 - :

f 3 x * sin x 2 ^ sqrt abs 2 x sqrt abs * - 4 1 sys

x y φ 3 x * x 3^- 2 y 2^* - y 4^+ (1 - :

x y φ

x y φ 3 x * x 3^- 2 y 2^* - y 4^+ (100 + :

0.125 x y φ * 1 1 sys

a 0.25 :

c 1 :

a 1 :

c 2 :

zoom 5 :

x y ff x 2^a 2^/ y 2^a 2^c 2^- / + 20 - :

x y q x 2^a 2^/ y 2^a 2^c 2^- / + 0 + :

zoom x y ff ( * zoom x y q ( * 2 1 sys

a 0.25 :

c 1 :

a 1 :

c 2 :

x y ff x 2^a 2^/ y 2^a 2^c 2^- / + 1 + :

x y q x 2^a 2^/ y 2^a 2^c 2^- / + 1 - :

ff q 2 1 sys

a 2 :

x y Φ4 x 2^y 2^+ (3^4 a * x 2^* y 2^* - :

Why is does not join center ? Answer: meshing is on pixel thus not fine enough

a 1.5 :

Φ4 1 1 sys

x y Φ3 x 2^y 2^+ (2^a x * x 2^3 y 2^* - (* - :

Φ3 1 1 sys

b 2 :

x y Φ0 x x 2^3 y 2^* - (* b x 2^y 2^+ (* - :

x y Φ3 x 2^y 2^+ (2^b x * x 2^3 y 2^* - (* - :

Φ0 Φ3 2 1 sys

x f 2 sqrt 2 / 18 x 2^* + (sqrt 12 x 2^* + (- sqrt * :

Bernoulli lemniscate

x f x f - 2 1 sys