Update and rename file3_non_differentiable_function.py to file3_Non_Differentiable_Function.py

2 files changed, 47 insertions, 30 deletions

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)