From c36313078049f0f94fca6229b434bffefd323e95 Mon Sep 17 00:00:00 2001 From: Padmapriya Mohan Date: Mon, 25 May 2020 16:33:03 +0530 Subject: Code for subtopic one: Gradient --- .../gradient/file2_gradient-example-1.py | 43 ++++++++++++++++++++++ 1 file changed, 43 insertions(+) create mode 100644 FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file2_gradient-example-1.py (limited to 'FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file2_gradient-example-1.py') diff --git a/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file2_gradient-example-1.py b/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file2_gradient-example-1.py new file mode 100644 index 0000000..7a95867 --- /dev/null +++ b/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file2_gradient-example-1.py @@ -0,0 +1,43 @@ +from manimlib.imports import * +import numpy as np + + +def function(coordinate): + x,y = coordinate[:2] + return np.array([ + 0.4*x, + 0.4*y, + 0.4*np.cos(np.sqrt((x**2)+(y**2)) + )]) + +class ThreeDVector(ThreeDScene): + def construct(self): + axes = ThreeDAxes() + self.add(axes) + self.set_camera_orientation(phi=45*DEGREES,theta=60*DEGREES,distance=40) + self.begin_ambient_camera_rotation(rate=0.5) + + surface = ParametricSurface( + lambda u, v: np.array([ + 0.4*u, + 0.4*v, + 0.4*np.cos(np.sqrt((u**2)+(v**2))) + ]),u_min=-20,u_max=20, v_min=-10,v_max=10).set_color(BLUE_E).fade(0.7) + + text_func = TexMobject(r"\textbf{Input: Function}").shift(4.4*LEFT+3.3*UP).scale(0.7) + text_field = TexMobject(r"\textbf{Output: Vector Field}").shift(4.4*LEFT+3.3*UP).scale(0.7) + + + self.add_fixed_in_frame_mobjects(text_func) + self.play(ShowCreation(surface)) + self.wait(3) + + field = VectorField(function) + self.play(FadeIn(field), FadeOut(text_func)) + self.add_fixed_in_frame_mobjects(text_field) + self.wait() + self.play(FadeOut(surface)) + self.wait() + + + -- cgit