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authorVaishnavi2020-06-24 05:03:34 +0530
committerGitHub2020-06-24 05:03:34 +0530
commita8a11ea17285b594f0017a6e7f86a43679312730 (patch)
treef1913133eea24220838c3dfb6ef1ff25e714e00e /FSF-2020/approximations-and-optimizations
parent1cd25dcc113d8834a50ca29fbc16b8fe97529056 (diff)
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Rename FSF-2020/approximations-and-optimizations/Tangent-Plane-Approximations/file4_Tangent plane_at_critical_points.py to FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Tangent-Plane-Approximations/file4_Tangent plane_at_critical_points.py
Diffstat (limited to 'FSF-2020/approximations-and-optimizations')
-rw-r--r--FSF-2020/approximations-and-optimizations/Tangent-Plane-Approximations/file4_Tangent plane_at_critical_points.py62
1 files changed, 0 insertions, 62 deletions
diff --git a/FSF-2020/approximations-and-optimizations/Tangent-Plane-Approximations/file4_Tangent plane_at_critical_points.py b/FSF-2020/approximations-and-optimizations/Tangent-Plane-Approximations/file4_Tangent plane_at_critical_points.py
deleted file mode 100644
index d129213..0000000
--- a/FSF-2020/approximations-and-optimizations/Tangent-Plane-Approximations/file4_Tangent plane_at_critical_points.py
+++ /dev/null
@@ -1,62 +0,0 @@
-from manimlib.imports import*
-
-class TangenttoSurface(ThreeDScene):
- def construct(self):
- axes = ThreeDAxes()
-
- #----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)
- f_text = TextMobject("Tangent plane at relative maxima").to_corner(UL).scale(0.5)
-
- #----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)
- f2_text = TextMobject("Tangent plane at saddle point").to_corner(UL).scale(0.5)
-
- #----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)
- f3_text = TextMobject("Tangent plane at relative minima").to_corner(UL).scale(0.5)
-
- self.set_camera_orientation(phi = 75 * DEGREES, theta = -45 * DEGREES )
- d = Dot(np.array([0,0,0]), color = '#800000') #---- critical point
-
- r = Rectangle(height = 2,breadth = 1,color = PURPLE).scale(0.5)
-
- self.begin_ambient_camera_rotation(rate = 0.3)
- self.add(axes)
- self.play(Write(f),Write(d))
- self.wait(1)
- self.add_fixed_in_frame_mobjects(f_text)
- self.play(ShowCreation(r))
- self.wait(1)
- self.play(FadeOut(r),FadeOut(f),FadeOut(d),FadeOut(f_text))
- self.wait(1)
- self.play(Write(f2),Write(d))
- self.wait(1)
- self.add_fixed_in_frame_mobjects(f2_text)
- self.play(ShowCreation(r))
- self.wait(1)
- self.play(FadeOut(r),FadeOut(f2),FadeOut(d),FadeOut(f2_text))
- self.wait(1)
- self.play(Write(f3),Write(d))
- self.wait(1)
- self.add_fixed_in_frame_mobjects(f3_text)
- self.play(ShowCreation(r))
- self.wait(1)