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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)
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