Delete file4_partial_deriv_example.py

1 files changed, 0 insertions, 246 deletions

diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/partial-derivatives/file4_partial_deriv_example.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/partial-derivatives/file4_partial_deriv_example.py
deleted file mode 100644
index 5712a62..0000000
--- a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/partial-derivatives/file4_partial_deriv_example.py
+++ /dev/null
@@ -1,246 +0,0 @@
-from manimlib.imports import *

-

-class PartialDerivX(ThreeDScene):

-    def construct(self):

-        axes = ThreeDAxes() 

-

-        paraboloid = ParametricSurface(

-            lambda u, v: np.array([

-                2*np.sin(u)*np.cos(v),

-                2*np.sin(u)*np.sin(v),

-                -2*2*np.sin(u)*np.sin(u)+2

-            ]),u_min=0,u_max=PI/2,v_min=0,v_max=2*PI,checkerboard_colors=[PINK, PURPLE],

-            resolution=(15, 32)).scale(1)

-

-        paraboloid_copy = paraboloid.copy()

-

- 

-        paraboloid_x = ParametricSurface(

-            lambda u, v: np.array([

-                2*np.sin(u)*np.cos(v),

-                2*np.sin(u)*np.sin(v),

-                -2*2*np.sin(u)*np.sin(u)+2

-            ]),u_min=0,u_max=PI/2,v_min=PI,v_max=2*PI,checkerboard_colors=[PINK, PURPLE],

-            resolution=(15, 32)).scale(1)

-

-

-        parabola =ParametricFunction(

-                lambda u : np.array([

-                u,

-                0,

-                -(u*u) + 2

-            ]),color="#006400",t_min=-2,t_max=2,

-            )

-        

-        plane = Polygon(np.array([-2.2,0,-2.5]),np.array([2.2,0,-2.5]),np.array([2.2,0,2.5]),np.array([-2.2,0,2.5]),np.array([-2.2,0,-2.5]), color = GREEN, fill_color = GREEN, fill_opacity = 0.2)

-        plane_text = TextMobject(r"$y = 0$", color = GREEN_C).move_to(2*UP + 3*RIGHT)

-

-        surface_eqn = TextMobject("Surface", r"$z = 2- x^2 -y^2$", color = PINK).scale(0.6).move_to(np.array([3*LEFT +3*UP]))

-        surface_eqn[0].set_color(BLUE_C)

-

-        line = Line(np.array([-2,0,0]), np.array([2,0,0]), color = RED_C)

-        

- 

-        self.add(axes)

-

-        axis = TextMobject(r"X",r"Y",r"Z")

-        axis[0].move_to(6*RIGHT)

-        axis[1].move_to(6*UP)

-        axis[2].move_to(3.7*UP)

-

-        self.add_fixed_in_frame_mobjects(axis[2])

-        self.add_fixed_orientation_mobjects(axis[0])

-        self.add_fixed_orientation_mobjects(axis[1])

-

-

-        self.set_camera_orientation(phi=80 * DEGREES, theta = 0*DEGREES)

-

-        self.play(Write(paraboloid))

-

-        self.add_fixed_in_frame_mobjects(surface_eqn)

-        #self.move_camera(phi=80* DEGREES,theta=95*DEGREES)

-        self.move_camera(phi=80* DEGREES,theta=45*DEGREES)

-        self.play(ShowCreation(plane))

-        self.add_fixed_in_frame_mobjects(plane_text)

-        self.wait()

-        self.play(ReplacementTransform(paraboloid, paraboloid_x))

-        self.play(FadeOut(plane), FadeOut(plane_text))

-        self.play(ShowCreation(parabola), ShowCreation(line))

-

-        text1 = TextMobject("Moving small", r"$dx$", r"steps").scale(0.6).move_to(3*UP + 3.5*RIGHT).set_color_by_gradient(RED, ORANGE, YELLOW, BLUE, PURPLE)

-    

-        text2 = TextMobject("Observing change in function, keeping", r"$y$", r"constant").scale(0.6).move_to(2.6*UP + 3.5*RIGHT).set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)

-        

-        slope_text = TexMobject("Slope =", "{\\partial", "f", "\\over", "\\partial", "x}").scale(0.6).move_to(2*UP + 3.5*RIGHT)

-        slope_text[0].set_color(BLUE_E)

-        slope_text.set_color_by_tex("\\partial",PINK)

-        slope_text.set_color_by_tex("f","#006400")

-        slope_text[5].set_color(RED_C)

-

-        self.add_fixed_in_frame_mobjects(text1, text2)

-        self.wait()

-        self.add_fixed_in_frame_mobjects(slope_text)

-        #add_fixed_orientation_mobjects

-        

-        

-        dot = Dot().rotate(PI/2).set_color(RED_C)

-        alpha = ValueTracker(0)

-        vector = self.get_tangent_vector(alpha.get_value(),parabola,scale=1.5)

-        dot.add_updater(lambda m: m.move_to(vector.get_center()))

-        self.play(

-            ShowCreation(parabola),

-            GrowFromCenter(dot),

-            GrowArrow(vector)

-            )

-        vector.add_updater(

-            lambda m: m.become(

-                    self.get_tangent_vector(alpha.get_value()%1,parabola,scale=1.5)

-                )

-            )

-        self.add(vector,dot)

-        self.play(alpha.increment_value, 1, run_time=10, rate_func=linear)

-        self.wait()

-

-

-        '''

-        for i in np.arange(-2,2,0.2):

-        	self.play(ReplacementTransform(Line(np.array([i,0,0]), np.array([i,0,-i*i + 2]), color = GREEN_C), Line(np.array([i+0.2,0,0]), np.array([i+0.2,0,-(i+0.2)**2 + 2]), color = GREEN_C)))

-            #self.wait()

-        '''

-

-        self.wait()

-        self.play(FadeOut(parabola), FadeOut(line), FadeOut(vector), FadeOut(dot), FadeOut(text1), FadeOut(text2), FadeOut(slope_text),FadeOut(surface_eqn))

-

-        #self.move_camera(phi=80* DEGREES,theta= 0*DEGREES)

-        self.play(ReplacementTransform(paraboloid_x, paraboloid_copy))

-        self.wait()

-

-

-    def get_tangent_vector(self, proportion, curve, dx=0.001, scale=1):

-        coord_i = curve.point_from_proportion(proportion)

-        coord_f = curve.point_from_proportion(proportion + dx)

-        reference_line = Line(coord_i,coord_f)

-        unit_vector = reference_line.get_unit_vector() * scale

-        vector = Line(coord_i - unit_vector, coord_i + unit_vector, color = BLUE_E, buff=0)

-        return vector

-

-

-class PartialDerivY(ThreeDScene):

-    def construct(self):

-        axes = ThreeDAxes() 

-

-        paraboloid = ParametricSurface(

-            lambda u, v: np.array([

-                2*np.sin(u)*np.cos(v),

-                2*np.sin(u)*np.sin(v),

-                -2*2*np.sin(u)*np.sin(u)+2

-            ]),u_min=0,u_max=PI/2,v_min=0,v_max=2*PI,checkerboard_colors=[PINK, PURPLE],

-            resolution=(15, 32)).scale(1)

-

-        paraboloid_copy = paraboloid.copy()

-

- 

-        paraboloid_y = ParametricSurface(

-            lambda u, v: np.array([

-                2*np.sin(u)*np.cos(v),

-                2*np.sin(u)*np.sin(v),

-                -2*2*np.sin(u)*np.sin(u)+2

-            ]),u_min=0,u_max=PI/2,v_min=PI/2,v_max=3*PI/2,checkerboard_colors=[PINK, PURPLE],

-            resolution=(15, 32)).scale(1)

-

-

-        parabola =ParametricFunction(

-                lambda u : np.array([

-                0,

-                u,

-                -(u*u) + 2

-            ]),color=YELLOW_C,t_min=-2,t_max=2,

-            )

-        

-        plane = Polygon(np.array([0,-2.2,-2.5]),np.array([0,2.2,-2.5]),np.array([0,2.2,2.5]),np.array([0,-2.2,2.5]),np.array([0,-2.2,-2.5]), color = BLUE, fill_color = BLUE, fill_opacity = 0.2)

-        plane_text = TextMobject(r"$x = 0$", color = BLUE_C).move_to(2*UP + 3*RIGHT)

-

-        surface_eqn = TextMobject("Surface", r"$z = 2- x^2 -y^2$", color = PINK).scale(0.6).move_to(np.array([3*LEFT +3*UP]))

-        surface_eqn[0].set_color(BLUE_C)

-        

-        line = Line(np.array([0,-2,0]), np.array([0,2,0]), color = RED_C)

- 

-        self.add(axes)

-

-        axis = TextMobject(r"X",r"Y",r"Z")

-        axis[0].move_to(6*RIGHT)

-        axis[1].move_to(6*UP)

-        axis[2].move_to(3.7*UP)

-

-        self.add_fixed_in_frame_mobjects(axis[2])

-        self.add_fixed_orientation_mobjects(axis[0])

-        self.add_fixed_orientation_mobjects(axis[1])

-

-        self.set_camera_orientation(phi=80 * DEGREES, theta = 45*DEGREES)

-

-        self.play(Write(paraboloid))

-

-        self.add_fixed_in_frame_mobjects(surface_eqn)

-        #self.move_camera(phi=80* DEGREES,theta=5*DEGREES)

-        self.play(ShowCreation(plane))

-        self.add_fixed_in_frame_mobjects(plane_text)

-        self.wait()

-        self.play(ReplacementTransform(paraboloid, paraboloid_y))

-        self.play(FadeOut(plane), FadeOut(plane_text))

-        self.play(ShowCreation(parabola), ShowCreation(line))

-

-        text1 = TextMobject("Moving small", r"$dy$", r"steps").scale(0.6).move_to(3*UP + 3.5*RIGHT).set_color_by_gradient(RED, ORANGE, YELLOW, BLUE, PURPLE)

-        

-        text2 = TextMobject("Observing change in function, keeping", r"$x$", r"constant").scale(0.6).move_to(2.6*UP + 3.5*RIGHT).set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)

-        

-        slope_text = TexMobject("Slope =", "{\\partial", "f", "\\over", "\\partial", "y}").scale(0.6).move_to(2*UP + 3.5*RIGHT)

-        slope_text[0].set_color("#006400")

-        slope_text.set_color_by_tex("\\partial",PINK)

-        slope_text.set_color_by_tex("f",YELLOW_C)

-        slope_text[5].set_color(RED_C)

-

-        self.add_fixed_in_frame_mobjects(text1, text2)

-        self.wait()

-        self.add_fixed_in_frame_mobjects(slope_text)

-

-        dot = Dot().rotate(PI/2).set_color(RED_C)

-        alpha = ValueTracker(0)

-        vector = self.get_tangent_vector(alpha.get_value(),parabola,scale=1.5)

-        dot.add_updater(lambda m: m.move_to(vector.get_center()))

-        self.play(

-            ShowCreation(parabola),

-            GrowFromCenter(dot),

-            GrowArrow(vector)

-            )

-        vector.add_updater(

-            lambda m: m.become(

-                    self.get_tangent_vector(alpha.get_value()%1,parabola,scale=1.5)

-                )

-            )

-        self.add(vector,dot)

-        self.play(alpha.increment_value, 1, run_time=10, rate_func=linear)

-        self.wait()

-        

-        '''

-        for i in np.arange(-2,2,0.2):

-        	self.play(ReplacementTransform(Line(np.array([0,i,0]), np.array([0,i,-i*i + 2]), color = BLUE_C), Line(np.array([0,i+0.2,0]), np.array([0,i+0.2,-(i+0.2)**2 + 2]), color = BLUE_C)))

-            #self.wait()

-        '''

-

-

-        self.wait()

-        self.play(FadeOut(parabola), FadeOut(line), FadeOut(vector), FadeOut(dot), FadeOut(text1), FadeOut(text2), FadeOut(slope_text),FadeOut(surface_eqn))

-

-        #self.move_camera(phi=80* DEGREES,theta= 90*DEGREES)

-        self.play(ReplacementTransform(paraboloid_y, paraboloid_copy))

-        self.wait()   

-

-    def get_tangent_vector(self, proportion, curve, dx=0.001, scale=1):

-        coord_i = curve.point_from_proportion(proportion)

-        coord_f = curve.point_from_proportion(proportion + dx)

-        reference_line = Line(coord_i,coord_f)

-        unit_vector = reference_line.get_unit_vector() * scale

-        vector = Line(coord_i - unit_vector, coord_i + unit_vector, color = "#006400", buff=0)

-        return vector         

-

-        
\ No newline at end of file