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-rw-r--r--FSF-2020/approximations-and-optimizations/Tangent-Plane-Approximations/file1_Tangent_Plane.py50
1 files changed, 0 insertions, 50 deletions
diff --git a/FSF-2020/approximations-and-optimizations/Tangent-Plane-Approximations/file1_Tangent_Plane.py b/FSF-2020/approximations-and-optimizations/Tangent-Plane-Approximations/file1_Tangent_Plane.py
deleted file mode 100644
index 4c17f90..0000000
--- a/FSF-2020/approximations-and-optimizations/Tangent-Plane-Approximations/file1_Tangent_Plane.py
+++ /dev/null
@@ -1,50 +0,0 @@
-from manimlib.imports import*
-
-#---- tangent plane is parallel to the surface of the funtion at a point
-class firstScene(ThreeDScene):
- def construct(self):
-
- s1_text=TextMobject("Suppose, the point $(x,y)$ lies on the surface of the function.").scale(0.5).shift(2*UP)
- s2_text=TextMobject("When zooming on that point, the surface would appear more and more like a plane.").scale(0.5).shift(1*UP)
- s3_text=TextMobject("This plane is called the tangent plane.").scale(0.5)
-
- #---- graph of 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_B,YELLOW_C,YELLOW_D, YELLOW_E]).shift([0,0,0]).scale(1)
-
-
- d = Dot([0,0,0],color = '#800000') #---- critical point
-
- r = Rectangle(color = PURPLE,fill_opacity=0.2).shift([0.1,0,0]).scale(0.3) #---- tangent plane
-
- s = 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_B,YELLOW_C,YELLOW_D, YELLOW_E]).shift([0,0,0]).scale(3.5)
-
- d2 = Dot([0,0,2.5],color = '#800000') #---- changing position of critical point
-
- r2 = Rectangle(color = PURPLE,fill_opacity=0.5).shift([0.1,0,2.5]).scale(0.3) #---- changing position of tangent plane
-
- self.set_camera_orientation(phi = 50 * DEGREES, theta = 45 * DEGREES)
- self.add_fixed_in_frame_mobjects(s1_text)
- self.add_fixed_in_frame_mobjects(s2_text)
- self.add_fixed_in_frame_mobjects(s3_text)
- self.wait(2)
- self.play(FadeOut(s1_text))
- self.play(FadeOut(s2_text))
- self.play(FadeOut(s3_text))
- self.wait(1)
- self.play(Write(f))
- self.play(Write(d))
- self.play(Write(r))
- self.wait(2)
- self.play(ReplacementTransform(f,s),ReplacementTransform(d,d2),ReplacementTransform(r,r2))
- self.wait(2)