From 0122bda3697101b536ade1857b06a7c5814ad3b7 Mon Sep 17 00:00:00 2001 From: Vaishnavi Date: Wed, 27 May 2020 20:44:13 +0530 Subject: Rename file2_Tangent plane at extrema of a function.py to file2_Tangent_plane_at_extrema.py --- ...file2_Tangent plane at extrema of a function.py | 55 ---------------------- .../file2_Tangent_plane_at_extrema.py | 55 ++++++++++++++++++++++ 2 files changed, 55 insertions(+), 55 deletions(-) delete mode 100644 FSF-2020/approximations-and-optimizations/Critical-Points/file2_Tangent plane at extrema of a function.py create mode 100644 FSF-2020/approximations-and-optimizations/Critical-Points/file2_Tangent_plane_at_extrema.py (limited to 'FSF-2020/approximations-and-optimizations') diff --git a/FSF-2020/approximations-and-optimizations/Critical-Points/file2_Tangent plane at extrema of a function.py b/FSF-2020/approximations-and-optimizations/Critical-Points/file2_Tangent plane at extrema of a function.py deleted file mode 100644 index 6889a52..0000000 --- a/FSF-2020/approximations-and-optimizations/Critical-Points/file2_Tangent plane at extrema of a function.py +++ /dev/null @@ -1,55 +0,0 @@ -from manimlib.imports import* - -class TheoremAnimation(ThreeDScene): - def construct(self): - - axes = ThreeDAxes() - - #----parabola: x**2+y**2 - parabola1 = ParametricSurface( - lambda u, v: np.array([ - u, - v, - u**2+v**2 - ]),v_min=-1,v_max=1,u_min=-1,u_max=1,checkerboard_colors=[TEAL_E], - resolution=(20, 20)).scale(1) - - #----parabola: -x**2-y**2 - parabola2 = ParametricSurface( - lambda u, v: np.array([ - u, - v, - -u**2-v**2 - ]),v_min=-1,v_max=1,u_min=-1,u_max=1,checkerboard_colors=[PURPLE_E,PURPLE_E], - resolution=(20, 20)).scale(1) - - self.set_camera_orientation(phi=75 * DEGREES) - self.begin_ambient_camera_rotation(rate=0.4) - - d = Dot(np.array([0,0,0]), color = '#800000') #---- critical point - r = Rectangle(fill_color= '#C0C0C0',fill_opacity =0.3).move_to(ORIGIN) #----tangent plane - - parabola1_text = TextMobject("Maximum with horizontal tangent plane").scale(0.7).to_corner(UL) - - parabola2_text = TextMobject("Minimum with horizontal tangent plane").scale(0.7).to_corner(UL) - - self.add(axes) - self.add_fixed_in_frame_mobjects(parabola2_text) - self.wait(1) - self.play(Write(parabola1)) - self.wait(1) - self.play(ShowCreation(d)) - self.wait(1) - self.play(ShowCreation(r)) - self.wait(2) - self.play(FadeOut(parabola2_text),FadeOut(parabola1),FadeOut(r),FadeOut(d)) - - self.wait(1) - self.add_fixed_in_frame_mobjects(parabola1_text) - self.wait(1) - self.play(Write(parabola2)) - self.wait(1) - self.play(ShowCreation(d)) - self.wait(1) - self.play(ShowCreation(r)) - self.wait(2) diff --git a/FSF-2020/approximations-and-optimizations/Critical-Points/file2_Tangent_plane_at_extrema.py b/FSF-2020/approximations-and-optimizations/Critical-Points/file2_Tangent_plane_at_extrema.py new file mode 100644 index 0000000..6889a52 --- /dev/null +++ b/FSF-2020/approximations-and-optimizations/Critical-Points/file2_Tangent_plane_at_extrema.py @@ -0,0 +1,55 @@ +from manimlib.imports import* + +class TheoremAnimation(ThreeDScene): + def construct(self): + + axes = ThreeDAxes() + + #----parabola: x**2+y**2 + parabola1 = ParametricSurface( + lambda u, v: np.array([ + u, + v, + u**2+v**2 + ]),v_min=-1,v_max=1,u_min=-1,u_max=1,checkerboard_colors=[TEAL_E], + resolution=(20, 20)).scale(1) + + #----parabola: -x**2-y**2 + parabola2 = ParametricSurface( + lambda u, v: np.array([ + u, + v, + -u**2-v**2 + ]),v_min=-1,v_max=1,u_min=-1,u_max=1,checkerboard_colors=[PURPLE_E,PURPLE_E], + resolution=(20, 20)).scale(1) + + self.set_camera_orientation(phi=75 * DEGREES) + self.begin_ambient_camera_rotation(rate=0.4) + + d = Dot(np.array([0,0,0]), color = '#800000') #---- critical point + r = Rectangle(fill_color= '#C0C0C0',fill_opacity =0.3).move_to(ORIGIN) #----tangent plane + + parabola1_text = TextMobject("Maximum with horizontal tangent plane").scale(0.7).to_corner(UL) + + parabola2_text = TextMobject("Minimum with horizontal tangent plane").scale(0.7).to_corner(UL) + + self.add(axes) + self.add_fixed_in_frame_mobjects(parabola2_text) + self.wait(1) + self.play(Write(parabola1)) + self.wait(1) + self.play(ShowCreation(d)) + self.wait(1) + self.play(ShowCreation(r)) + self.wait(2) + self.play(FadeOut(parabola2_text),FadeOut(parabola1),FadeOut(r),FadeOut(d)) + + self.wait(1) + self.add_fixed_in_frame_mobjects(parabola1_text) + self.wait(1) + self.play(Write(parabola2)) + self.wait(1) + self.play(ShowCreation(d)) + self.wait(1) + self.play(ShowCreation(r)) + self.wait(2) -- cgit