From dc445ffca6bb7d90bb067ef43af3b69933e05210 Mon Sep 17 00:00:00 2001
From: Vaishnavi
Date: Wed, 24 Jun 2020 05:21:15 +0530
Subject: Update and rename file3_non_differentiable_function.py to
file3_Non_Differentiable_Function.py
---
.../file3_Non_Differentiable_Function.py | 47 ++++++++++++++++++++++
.../file3_non_differentiable_function.py | 30 --------------
2 files changed, 47 insertions(+), 30 deletions(-)
create mode 100644 FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Tangent-Plane-Approximations/file3_Non_Differentiable_Function.py
delete mode 100644 FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Tangent-Plane-Approximations/file3_non_differentiable_function.py
diff --git a/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Tangent-Plane-Approximations/file3_Non_Differentiable_Function.py b/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Tangent-Plane-Approximations/file3_Non_Differentiable_Function.py
new file mode 100644
index 0000000..79d0948
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Tangent-Plane-Approximations/file3_Non_Differentiable_Function.py
@@ -0,0 +1,47 @@
+from manimlib.imports import*
+import math
+
+#---- tangent plane does not exists for f(x,y): sqrt(x**2+y**2) at origin
+
+class TangenttoSurface(ThreeDScene):
+ def construct(self):
+ axes = ThreeDAxes().rotate(2.3)
+ axes2 = ThreeDAxes().scale(2).rotate(2.3).shift([0,0,1.3])
+
+ #----f(x,y): sqrt(x**2+y**2)
+ p = ParametricSurface(
+ lambda u, v: np.array([
+ u,
+ v,
+ -math.sqrt(u**2+v**2)
+ ]),v_min = -1,v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [RED_C,TEAL_D],
+ resolution = (20, 20)).scale(1)
+
+ #----size increased of f(x,y): sqrt(x**2+y**2)
+ p2 = ParametricSurface(
+ lambda u, v: np.array([
+ u,
+ v,
+ -math.sqrt(u**2+v**2)
+ ]),v_min = -1,v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [RED_C,TEAL_D],
+ resolution = (20, 20)).scale(3).shift([0,0,0])
+
+ self.set_camera_orientation(phi = 75 * DEGREES,theta = 40*DEGREES)
+
+ d = Dot([0,0,0],color = '#800000') #---- critical point
+ d2 = Dot([0,0,1.5],color = '#800000').scale(2) #---- size increased of critical point
+
+ f_text = TextMobject("$f$ is not differentiable at origin,because the surface").scale(0.5).to_corner(UL)
+ f2_text = TextMobject("is not flat when zoomed in at the origin.").scale(0.5).to_corner(UL).shift(0.5*DOWN)
+
+ self.add(axes)
+ self.wait(1)
+ self.play(Write(p),Write(d))
+ self.wait(1)
+ self.move_camera(phi = 50 * DEGREES,theta = 40*DEGREES)
+ self.wait(1)
+ self.play(ReplacementTransform(axes,axes2),ReplacementTransform(p,p2),ReplacementTransform(d,d2))
+ self.wait(1)
+ self.add_fixed_in_frame_mobjects(f_text)
+ self.add_fixed_in_frame_mobjects(f2_text)
+ self.wait(2)
diff --git a/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Tangent-Plane-Approximations/file3_non_differentiable_function.py b/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Tangent-Plane-Approximations/file3_non_differentiable_function.py
deleted file mode 100644
index 13bd73e..0000000
--- a/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Tangent-Plane-Approximations/file3_non_differentiable_function.py
+++ /dev/null
@@ -1,30 +0,0 @@
-from manimlib.imports import*
-import math
-
-#---- tangent plane does not exists for f(x,y): sqrt(x**2+y**2) at origin
-
-class TangenttoSurface(ThreeDScene):
- def construct(self):
- axes = ThreeDAxes()
-
- #----f(x,y): sqrt(x**2+y**2)
- p = ParametricSurface(
- lambda u, v: np.array([
- u,
- v,
- math.sqrt(u**2+v**2)
- ]),v_min = -1,v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [RED_C,TEAL_D],
- resolution = (20, 20)).scale(1)
-
- self.set_camera_orientation(phi = 75 * DEGREES)
-
- d = Dot([0,0,0],color = '#800000') #----critical point
- d_text = TextMobject("$(0,0)$").scale(0.5).shift(0.2*DOWN)
- f_text = TextMobject("$f$ is not differentiable at origin").scale(0.5).to_corner(UL)
-
- self.begin_ambient_camera_rotation(rate=0.1)
- self.add(axes)
- self.play(Write(p),Write(d))
- self.add_fixed_in_frame_mobjects(d_text)
- self.add_fixed_in_frame_mobjects(f_text)
- self.wait(2)
--
cgit