From a68eb145ac849444d222c3eaea619e7dfca9f410 Mon Sep 17 00:00:00 2001 From: Vaishnavi Date: Sat, 27 Jun 2020 02:50:19 +0530 Subject: Update and rename file4_Relative_Maxima_and_Relative_Minima.py to file4_Relative_Maximum_and_Relative_Minimum.py --- .../file4_Relative_Maxima_and_Relative_Minima.py | 51 ---------------------- .../file4_Relative_Maximum_and_Relative_Minimum.py | 51 ++++++++++++++++++++++ 2 files changed, 51 insertions(+), 51 deletions(-) delete mode 100644 FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Critical-Points/file4_Relative_Maxima_and_Relative_Minima.py create mode 100644 FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Critical-Points/file4_Relative_Maximum_and_Relative_Minimum.py (limited to 'FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Critical-Points') diff --git a/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Critical-Points/file4_Relative_Maxima_and_Relative_Minima.py b/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Critical-Points/file4_Relative_Maxima_and_Relative_Minima.py deleted file mode 100644 index 7999527..0000000 --- a/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Critical-Points/file4_Relative_Maxima_and_Relative_Minima.py +++ /dev/null @@ -1,51 +0,0 @@ -from manimlib.imports import* -import math as m - -#---- locating extrema of a funtion using critical points -class Extrema(ThreeDScene): - def construct(self): - - h_text = TextMobject("Relative Maxima and Relative Minima",color = GREEN) - - axes = ThreeDAxes() - label_x = TextMobject("$x$").shift([5.5,-0.3,0]) #---- x axis - label_y = TextMobject("$y$").shift([-0.3,5.5,0]).rotate(-4.5) #---- y axis - - #---- f(x,y) = 5(x+y)e^(-x^2-y^2) - surface = ParametricSurface( - lambda u, v: np.array([ - u, - v, - 5*(u+v)*m.exp(-u**2-v**2) - ]),u_min = -PI, u_max = PI, v_min = -PI, v_max = PI).set_color(TEAL).shift([0,0,0]).fade(0.4) - - d1 = Dot(color = YELLOW).shift([0.5,0.5,3.02]) #---- critical point for maxima - l1 = Line([0.5,0.5,0.1],[0.5,0.5,3],color = YELLOW) - - d2 = Dot(color = YELLOW).shift([-1.15,0,-2.98]) #---- critical point for minima - l2 = Line([-1.15,0,0],[-1.15,0,-2.98],color = YELLOW) - - max_text = TextMobject("Relative Maxima").shift(3.1*UP+1.5*RIGHT).scale(0.5) - min_text = TextMobject("Relative Minima").shift(3.1*DOWN+1.5*LEFT).scale(0.5) - - self.add_fixed_in_frame_mobjects(h_text) - self.wait(1) - self.wait(1) - self.play(FadeOut(h_text)) - self.wait(1) - self.set_camera_orientation(phi = 100*DEGREES, theta = -40*DEGREES) - self.add(axes) - self.add(label_x) - self.add(label_y) - self.play(Write(surface)) - self.wait(1) - self.play(Write(l1),Write(d1)) - self.add_fixed_in_frame_mobjects(max_text) - self.wait(1) - self.play(Write(l2),Write(d2)) - self.add_fixed_in_frame_mobjects(min_text) - self.wait(1) - self.wait(1) - self.play(FadeOut(l1),FadeOut(d1),FadeOut(l2),FadeOut(d2),FadeOut(max_text),FadeOut(min_text)) - self.begin_ambient_camera_rotation(rate = 0.3) - self.wait(3) diff --git a/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Critical-Points/file4_Relative_Maximum_and_Relative_Minimum.py b/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Critical-Points/file4_Relative_Maximum_and_Relative_Minimum.py new file mode 100644 index 0000000..3bd810d --- /dev/null +++ b/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Critical-Points/file4_Relative_Maximum_and_Relative_Minimum.py @@ -0,0 +1,51 @@ +from manimlib.imports import* +import math as m + +#---- locating extrema of a funtion using critical points +class Extrema(ThreeDScene): + def construct(self): + + h_text = TextMobject("Relative Maximum and Relative Minimum",color = GREEN) + + axes = ThreeDAxes() + label_x = TextMobject("$x$").shift([5.5,-0.3,0]) #---- x axis + label_y = TextMobject("$y$").shift([-0.3,5.5,0]).rotate(-4.5) #---- y axis + + #---- f(x,y) = 5(x+y)e^(-x^2-y^2) + surface = ParametricSurface( + lambda u, v: np.array([ + u, + v, + 5*(u+v)*m.exp(-u**2-v**2) + ]),u_min = -PI, u_max = PI, v_min = -PI, v_max = PI).set_color(TEAL).shift([0,0,0]).fade(0.4) + + d1 = Dot(color = YELLOW).shift([0.5,0.5,3.02]) #---- critical point for maxima + l1 = Line([0.5,0.5,0.1],[0.5,0.5,3],color = YELLOW) + + d2 = Dot(color = YELLOW).shift([-1.15,0,-2.98]) #---- critical point for minima + l2 = Line([-1.15,0,0],[-1.15,0,-2.98],color = YELLOW) + + max_text = TextMobject("Relative Maximum").shift(3.1*UP+1.5*RIGHT).scale(0.5) + min_text = TextMobject("Relative Minimum").shift(3.1*DOWN+1.5*LEFT).scale(0.5) + + self.add_fixed_in_frame_mobjects(h_text) + self.wait(1) + self.wait(1) + self.play(FadeOut(h_text)) + self.wait(1) + self.set_camera_orientation(phi = 100*DEGREES, theta = -40*DEGREES) + self.add(axes) + self.add(label_x) + self.add(label_y) + self.play(Write(surface)) + self.wait(1) + self.play(Write(l1),Write(d1)) + self.add_fixed_in_frame_mobjects(max_text) + self.wait(1) + self.play(Write(l2),Write(d2)) + self.add_fixed_in_frame_mobjects(min_text) + self.wait(1) + self.wait(1) + self.play(FadeOut(l1),FadeOut(d1),FadeOut(l2),FadeOut(d2),FadeOut(max_text),FadeOut(min_text)) + self.begin_ambient_camera_rotation(rate = 0.3) + self.wait(3) -- cgit