diff options
Diffstat (limited to 'FSF-2020/calculus-of-several-variables')
| -rw-r--r-- | FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Total-Differential/file3_Total_differential_of_z.py | 23 |
1 files changed, 16 insertions, 7 deletions
diff --git a/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Total-Differential/file3_Total_differential_of_z.py b/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Total-Differential/file3_Total_differential_of_z.py index b29a7a3..b8d6f96 100644 --- a/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Total-Differential/file3_Total_differential_of_z.py +++ b/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Total-Differential/file3_Total_differential_of_z.py @@ -1,8 +1,16 @@ from manimlib.imports import* -class firstScene(ThreeDScene): +#---- visualization of total differential definition +class totaldifferential(ThreeDScene): def construct(self): axes = ThreeDAxes().fade(0.5) + surface = ParametricSurface( + lambda u, v: np.array([ + u, + v, + u**2+v**2 + ]),u_min=-1,u_max=1, v_min=-1,v_max=1).set_color("#FF69B4").fade(0.6).shift([1,0.8,1.5]).scale(2) + plane = Rectangle(color = '#E6E6FA',fill_opacity = 1).scale(3).shift(-1*RIGHT+3*UP).fade(0.9) label_x = TextMobject("$x$").shift(5*RIGHT+0.4*DOWN).rotate(1.571) label_y = TextMobject("$y$").shift(0.3*DOWN+5.6*RIGHT).scale(0.5) @@ -57,17 +65,19 @@ class firstScene(ThreeDScene): self.add_fixed_in_frame_mobjects(label_y) self.add_fixed_in_frame_mobjects(label_z) self.wait(1) + self.play(Write(surface)) + self.play(ShowCreation(d1)) + self.add_fixed_in_frame_mobjects(d1_text) + self.play(ShowCreation(d2)) + self.add_fixed_in_frame_mobjects(d2_text) + self.wait(1) self.play(Write(s2)) self.wait(1) self.play(Write(l1),Write(l2),Write(l3)) self.wait(1) self.play(Write(s1)) self.wait(1) - self.play(ShowCreation(d1)) - self.add_fixed_in_frame_mobjects(d1_text) - self.play(ShowCreation(d2)) - self.add_fixed_in_frame_mobjects(d2_text) - self.wait(1) + self.play(FadeOut(surface)) self.play(ShowCreation(d3)) self.add_fixed_in_frame_mobjects(d3_text) self.play(ShowCreation(m1_line)) @@ -88,4 +98,3 @@ class firstScene(ThreeDScene): self.play(ShowCreation(delx)) self.add_fixed_in_frame_mobjects(delx_text) self.wait(1) - |