diff options
Diffstat (limited to 'FSF-2020/approximations-and-optimizations')
4 files changed, 0 insertions, 187 deletions
diff --git a/FSF-2020/approximations-and-optimizations/Critical Points/example.py b/FSF-2020/approximations-and-optimizations/Critical Points/example.py deleted file mode 100644 index 3a41be7..0000000 --- a/FSF-2020/approximations-and-optimizations/Critical Points/example.py +++ /dev/null @@ -1,32 +0,0 @@ -from manimlib.imports import* - -class ExampleAnimation(ThreeDScene): - def construct(self): - axes = ThreeDAxes() - - f_text = TextMobject("$f(x,y) = (y-x)(1-2x-3y)$").to_corner(UL) - d = Dot(np.array([0,0,0]), color = '#800000') #---- Critical Point - d_text = TextMobject("$(0.2,0.2)$",color = '#DC143C').scale(0.5).shift(0.2*UP) #----x = 0.2, y = 0.2 - r_text=TextMobject("Critical Point",color = '#00FFFF').shift(0.3*DOWN).scale(0.6) - - #----f(x,y) = (y-x)(1-2x-3y) - f = ParametricSurface( - lambda u, v: np.array([ - u, - v, - (v-u)*(1-2*u-3*v) - ]),v_min = -1, v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [PURPLE_D, PURPLE_E], - resolution=(20, 20)).scale(1) - - self.set_camera_orientation(phi = 75 * DEGREES) - self.begin_ambient_camera_rotation(rate=0.5) - - self.add_fixed_in_frame_mobjects(f_text) - self.wait(1) - self.add(axes) - self.play(Write(f),Write(d)) - self.wait(1) - self.add_fixed_in_frame_mobjects(d_text) - self.wait(1) - self.add_fixed_in_frame_mobjects(r_text) - self.wait(3) diff --git a/FSF-2020/approximations-and-optimizations/Critical Points/motivation.py b/FSF-2020/approximations-and-optimizations/Critical Points/motivation.py deleted file mode 100644 index 27354ef..0000000 --- a/FSF-2020/approximations-and-optimizations/Critical Points/motivation.py +++ /dev/null @@ -1,30 +0,0 @@ -from manimlib.imports import* - -class MotivationAnimation(Scene): - def construct(self): - - r = Rectangle(height = 7,breadth = 2,color = BLUE, fill_opacity = 0.3).scale(0.6) #----metal strip - b = Brace(r,UP) - r_text = TextMobject("$x$ metres",color = YELLOW).shift(3*UP) - m_text = TextMobject("Metal Strip").shift(3*DOWN) - a = Arc(radius=2).rotate(1).shift(LEFT+0.5*UP) - a2 = Arc(radius=2).rotate(5).shift(0.7*LEFT+0.9*UP).scale(0.2) - START = [1,0,0] - END = [0,3,0] - l = Line(START,END,color = RED).shift(0.9*DOWN) - a2_text = TextMobject("$\\theta$",color = PINK).shift(1.6*UP+0.4*RIGHT) - - group1 = VGroup(r_text,b,a,l,a2,a2_text) - f_text = TextMobject("$A = f(x,\\theta)$").shift(2*DOWN) - - ring = Annulus(inner_radius = 0.7, outer_radius = 1, color = BLUE) #--bent metal strip - - self.play(Write(r)) - self.wait(1) - self.play(ShowCreation(m_text)) - self.wait(1) - self.play(Write(group1)) - self.wait(2) - self.play(FadeOut(group1)) - self.wait(1) - self.play(ReplacementTransform(r,ring),ShowCreation(f_text)) diff --git a/FSF-2020/approximations-and-optimizations/Critical Points/theorem.py b/FSF-2020/approximations-and-optimizations/Critical Points/theorem.py deleted file mode 100644 index 7c82aa9..0000000 --- a/FSF-2020/approximations-and-optimizations/Critical Points/theorem.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/types_of_cp.py b/FSF-2020/approximations-and-optimizations/Critical Points/types_of_cp.py deleted file mode 100644 index f9055e6..0000000 --- a/FSF-2020/approximations-and-optimizations/Critical Points/types_of_cp.py +++ /dev/null @@ -1,70 +0,0 @@ -from manimlib.imports import * - -class TypescpAnimation(ThreeDScene): - def construct(self): - axes = ThreeDAxes() - - r_text = TextMobject("Relative Maximum at ORIGIN",color ='#87CEFA') - f_text = TextMobject("$f(x,y) = -x^2-y^2$").to_corner(UL) - - #----graph of first function f(x,y) = -x**2-y**2 - f = 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 = [YELLOW_D, YELLOW_E], - resolution = (20, 20)).scale(1) - - r2_text = TextMobject("Saddle Point at ORIGIN",color ='#87CEFA') - f2_text = TextMobject("$f(x,y) = -x^2+y^2$").to_corner(UL) - - #----graph of second function f(x,y) = -x**2+y**2 - f2 = 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 = [RED_D, RED_E], - resolution = (20, 20)).scale(1) - - r3_text = TextMobject("Relative Minimum at ORIGIN",color ='#87CEFA') - f3_text = TextMobject("$f(x,y) = x^2+y^2$").to_corner(UL) - - #----graph of third function f(x,y) = x**2+y**2 - f3 = 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 = [GREEN_D, GREEN_E], - resolution = (20, 20)).scale(1) - - self.set_camera_orientation(phi = 75 * DEGREES, theta = -45 * DEGREES ) - d = Dot(np.array([0,0,0]), color = '#800000') #---- critical point - - self.add_fixed_in_frame_mobjects(r_text) - self.wait(1) - self.play(FadeOut(r_text)) - self.add(axes) - self.play(Write(f),Write(d)) - self.add_fixed_in_frame_mobjects(f_text) - self.wait(2) - self.play(FadeOut(axes),FadeOut(f),FadeOut(f_text),FadeOut(d)) - - self.add_fixed_in_frame_mobjects(r2_text) - self.wait(1) - self.play(FadeOut(r2_text)) - self.add(axes) - self.play(Write(f2),Write(d)) - self.add_fixed_in_frame_mobjects(f2_text) - self.wait(2) - self.play(FadeOut(axes),FadeOut(f2),FadeOut(f2_text),FadeOut(d)) - - self.add_fixed_in_frame_mobjects(r3_text) - self.wait(1) - self.play(FadeOut(r3_text)) - self.add(axes) - self.play(Write(f3),Write(d)) - self.add_fixed_in_frame_mobjects(f3_text) - self.wait(2) |