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Diffstat (limited to 'FSF-2020/approximations-and-optimizations/Critical-Points/file5_f(x,y)=(y-x)(1-2x-3y).py')
-rw-r--r--FSF-2020/approximations-and-optimizations/Critical-Points/file5_f(x,y)=(y-x)(1-2x-3y).py22
1 files changed, 13 insertions, 9 deletions
diff --git a/FSF-2020/approximations-and-optimizations/Critical-Points/file5_f(x,y)=(y-x)(1-2x-3y).py b/FSF-2020/approximations-and-optimizations/Critical-Points/file5_f(x,y)=(y-x)(1-2x-3y).py
index 8a90990..41c3b61 100644
--- a/FSF-2020/approximations-and-optimizations/Critical-Points/file5_f(x,y)=(y-x)(1-2x-3y).py
+++ b/FSF-2020/approximations-and-optimizations/Critical-Points/file5_f(x,y)=(y-x)(1-2x-3y).py
@@ -1,25 +1,29 @@
from manimlib.imports import*
+#---- visualization of the function
class ExampleAnimation(ThreeDScene):
def construct(self):
axes = ThreeDAxes()
+ label_x = TextMobject("$x$").shift([5.5,-0.5,0]) #---- x axis
+ label_y = TextMobject("$y$").shift([-0.5,5.5,0]).rotate(-4.5) #---- y axis
- f_text = TextMobject("$f(x,y) = (y-x)(1-2x-3y)$").to_corner(UL)
-
- #----f(x,y) = (y-x)(1-2x-3y)
- f = ParametricSurface(
+ #---- f(x,y) = (y-x)(1-2x-3y)
+ surface = ParametricSurface(
lambda u, v: np.array([
u,
v,
(v-u)*(1-2*u-3*v)
- ]),v_min = -1, v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [PURPLE_B,PURPLE_C,PURPLE_D, PURPLE_E],
- resolution=(20, 20)).scale(1).fade(0.2).shift([0.2,0.2,0])
+ ]),v_min = -1, v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [PURPLE_B,PURPLE_C,PURPLE_D, PURPLE_E]).scale(1).fade(0.2).shift([0.2,0.2,0])
+
+ f_text = TextMobject("$f(x,y) = (y-x)(1-2x-3y)$").to_corner(UL)
- self.set_camera_orientation(phi = 75 * DEGREES,theta= 60*DEGREES)
+ self.set_camera_orientation(phi = 60 * DEGREES, theta = 75 * DEGREES)
self.begin_ambient_camera_rotation(rate=0.1)
-
self.add_fixed_in_frame_mobjects(f_text)
self.wait(1)
self.add(axes)
+ self.add(label_x)
+ self.add(label_y)
+ self.wait(1)
self.play(Write(f))
- self.wait(3)
+ self.wait(4)