diff options
Diffstat (limited to 'FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file4-multidimensional-gradient.py')
-rw-r--r-- | FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file4-multidimensional-gradient.py | 113 |
1 files changed, 0 insertions, 113 deletions
diff --git a/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file4-multidimensional-gradient.py b/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file4-multidimensional-gradient.py deleted file mode 100644 index e9c8fd0..0000000 --- a/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file4-multidimensional-gradient.py +++ /dev/null @@ -1,113 +0,0 @@ -from manimlib.imports import * -import numpy as np - - -class Hills(ThreeDScene): - def construct(self): - axes = ThreeDAxes( - number_line_config={ - "color": GREEN, - "include_tip": False, - "exclude_zero_from_default_numbers": True, - } - ) - self.add(axes) - - self.set_camera_orientation(phi=45*DEGREES,theta=45*DEGREES,distance=40) - #self.begin_ambient_camera_rotation(rate=0.5) - self.wait() - - cylinder_1 = ParametricSurface( - lambda u, v: np.array([ - u, - v, - 7*u*v/np.exp(u**2+v**2) - ]),u_min=-3,u_max=3, v_min=-1,v_max=-0.95).set_color(YELLOW_E).rotate(PI/2).shift(LEFT).fade(0.5) - cylinder = ParametricSurface( - lambda u, v: np.array([ - u, - v, - 7*u*v/np.exp(u**2+v**2) - ]),u_min=-3,u_max=3, v_min=-3,v_max=3).set_color(YELLOW_E).rotate(PI/2).shift(LEFT).fade(0.5) - text_one = TexMobject(r"\textrm{Single variable functions slope up and down}") - #name = TexMobject(r"\textrm{PROBE}").next_to(text_one, DOWN, buff = SMALL_BUFF).scale(0.7) - text_one_a = TexMobject(r"\textrm{Position }", r" \rightarrow ").next_to(text_one, DOWN, buff = SMALL_BUFF) - probe = Sphere(radius = 0.2).next_to(text_one_a, RIGHT).set_color(BLUE_E) - text_one_b = TexMobject(r" \rightarrow ", r"\textrm{ slope }").next_to(probe, RIGHT, buff = SMALL_BUFF) - name = TextMobject("PROBE").next_to(probe, DOWN, buff = SMALL_BUFF).scale(0.5) - text = VGroup(text_one, text_one_a, probe, text_one_b, name).to_edge(UP+1.5*LEFT).scale(0.5) - - text_two = TexMobject(r"\textrm{Multivariable functions slope in infinitely many directions!}") - #name_two = TexMobject(r"\textrm{PROBE2.0}").next_to(text_two, DOWN, buff = SMALL_BUFF).scale(0.7) - text_two_a = TexMobject(r"\textrm{Position, Direction }", r" \rightarrow ").next_to(text_two, DOWN, buff = SMALL_BUFF) - probe_two = Sphere(radius = 0.2).next_to(text_two_a, RIGHT).set_color(PURPLE_E) - text_two_b = TexMobject(r" \rightarrow ", r"\textrm{ slope }").next_to(probe_two, RIGHT, buff = SMALL_BUFF) - name_two = TextMobject("PROBE2.0").next_to(probe_two, DOWN, buff = SMALL_BUFF).scale(0.5) - two = VGroup(text_two, text_two_a, probe_two, text_two_b, name_two).to_edge(UP+LEFT).scale(0.5).shift(3.5*LEFT) - - - - - - - self.play(ShowCreation(cylinder_1)) - self.wait() - self.add_fixed_in_frame_mobjects(text) - self.wait(3.5) - self.play(FadeOut(text)) - self.play(ReplacementTransform(cylinder_1, cylinder)) - self.wait() - self.add_fixed_in_frame_mobjects(two) - self.begin_ambient_camera_rotation(rate=0.5) - self.wait(4) - -class OneMore(ThreeDScene, GraphScene): - def setup(self): - GraphScene.setup(self) - ThreeDScene.setup(self) - - def construct(self): - axes = ThreeDAxes( - number_line_config={ - "color": GREEN, - "include_tip": False, - "exclude_zero_from_default_numbers": True, - } - ) - self.add(axes) - - self.set_camera_orientation(phi=90*DEGREES,theta=90*DEGREES,distance=40) - #self.begin_ambient_camera_rotation(rate=0.5) - self.wait() - - shape = ParametricSurface( - lambda u, v: np.array([ - u, - v, - 2 - u**2 - v**2, - ]),u_min=0,u_max =0.01, v_min=-2,v_max=2).set_color(GREEN_C) - - shape_A = ParametricSurface( - lambda u, v: np.array([ - 0*u, - 0, - v, - ]),u_min=-2,u_max = 2, v_min=-2,v_max=2).set_color(GREEN_C) - - - ''' - path = self.get_graph(lambda u,v: np.array([ - u, - 2 - u**2 - v**2]), u_min=-2,u_max=2, v_min=-2,v_max=2) - location = np.array([-2,-2, -2]) #location: Point - dot = Dot(location) - ''' - - self.play(ShowCreation(shape)) - self.add(shape_A) - #self.play(ShowCreation(path), ShowCreation(dot)) - #self.play(MoveAlongPath(dot, path)) - #self.wait(3) - self.play(ApplyMethod(shape.fade, 0.5)) - self.begin_ambient_camera_rotation(rate = 0.5) - self.wait(3) |