From a72c9a676fb98c7ea1cfc8cadae197b2e5098623 Mon Sep 17 00:00:00 2001
From: nishanpoojary
Date: Wed, 27 May 2020 18:49:26 +0530
Subject: Uploaded additional files and gifs

---
 .../file1_epsilon_delta_defn.py                    | 120 +++++++++++++++++++++
 1 file changed, 120 insertions(+)
 create mode 100644 FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file1_epsilon_delta_defn.py

(limited to 'FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file1_epsilon_delta_defn.py')

diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file1_epsilon_delta_defn.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file1_epsilon_delta_defn.py
new file mode 100644
index 0000000..63b6165
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file1_epsilon_delta_defn.py
@@ -0,0 +1,120 @@
+from manimlib.imports import *
+
+class EpsilonDelta(ThreeDScene):
+    def construct(self):
+        axes = ThreeDAxes() # creates a 3D Axis
+        
+
+        sphere = ParametricSurface(
+            lambda u, v: np.array([
+                2*np.sin(u)*np.cos(v),
+                2*np.sin(u)*np.sin(v),
+                2*np.cos(u)
+            ]),u_min=0,u_max=PI/4,v_min=0,v_max=PI/2,checkerboard_colors=[RED_D, RED_E],
+            resolution=(15, 32)).scale(2)
+        #sphere.shift(0.5*RIGHT+0.5*UP)
+
+        #self.set_camera_orientation(phi=0*DEGREES,theta=270*DEGREES)
+        self.set_camera_orientation(phi=75 * DEGREES)
+        
+
+
+        circle = Circle(radius= 0.4,color = GREEN)
+        circle.shift(0.5*RIGHT+0.5*UP)
+
+        line1 = DashedLine(np.array([0.5, 0.1,0]), np.array([0.5, 0.1,2.1]), color = BLUE_E)
+        line2 = DashedLine(np.array([0.5, 0.9,0]), np.array([0.5, 0.9,1.7]), color = BLUE_E)
+        line3 = DashedLine(np.array([0, 0,2.1]), np.array([0.5, 0.1,2.1]), color = YELLOW_C)
+        line4 = DashedLine(np.array([0, 0,1.7]), np.array([0.5, 0.9,1.7]), color = YELLOW_C)
+
+        dot1 = Sphere()
+        dot1.scale(0.01)
+        dot1.move_to(np.array([0,0,1.9]))
+        dot1.set_fill(BLUE_E)
+
+        temp_func1 = TextMobject(r"$L$")
+        temp_func1.scale(0.6)
+        temp_func1.set_color(BLUE_E)
+
+        dot2 = Sphere()
+        dot2.scale(0.01)
+        dot2.move_to(np.array([0,0,1.7]))
+        dot2.set_fill(PURPLE)
+
+        temp_func2 = TextMobject(r"$L - \epsilon$")
+        temp_func2.scale(0.6)
+        temp_func2.set_color(PURPLE)
+
+        dot3 = Sphere()
+        dot3.scale(0.01)
+        dot3.move_to(np.array([0,0,2.1]))
+        dot3.set_fill(PURPLE)
+
+        temp_func3 = TextMobject(r"$L + \epsilon$")
+        temp_func3.scale(0.6)
+        temp_func3.set_color(PURPLE)
+
+        self.add(axes)
+
+        self.play(ShowCreation(dot1))
+        self.add_fixed_in_frame_mobjects(temp_func1)
+        temp_func1.move_to(1.9*UP)
+        self.play(Write(temp_func1))
+
+        self.play(ShowCreation(dot2))
+        self.add_fixed_in_frame_mobjects(temp_func2)
+        temp_func2.move_to(1.7*UP)
+        self.play(Write(temp_func2))
+
+        self.play(ShowCreation(dot3))
+        self.add_fixed_in_frame_mobjects(temp_func3)
+        temp_func3.move_to(2.1*UP)
+        self.play(Write(temp_func3))
+
+
+        circle_center = Sphere()
+        circle_center.scale(0.05)
+        circle_center.move_to(np.array([0.5,0.5,0]))
+        circle_center.set_fill(GREEN)
+
+        temp_circle_center = TextMobject(r"$(a,b,0)$")
+        temp_circle_center.scale(0.5)
+        temp_circle_center.set_color(GREEN)
+
+        curve_circle_center = Sphere()
+        curve_circle_center.scale(0.05)
+        curve_circle_center.move_to(np.array([0.5,0.5,1.9]))
+        curve_circle_center.set_fill(BLUE_E)
+
+        temp_curve_circle_center = TextMobject(r"$(a,b,L)$")
+        temp_curve_circle_center.scale(0.5)
+        temp_curve_circle_center.set_color(BLUE)
+
+        delta_lab = TextMobject(r"$\delta - disk$")
+        delta_lab.scale(0.5)
+        delta_lab.set_color(PINK)   
+
+        self.play(ShowCreation(circle_center))
+        self.add_fixed_in_frame_mobjects(temp_circle_center)
+        temp_circle_center.move_to(1.5*RIGHT)
+        self.play(Write(temp_circle_center))
+
+        self.play(ShowCreation(curve_circle_center))
+        self.add_fixed_in_frame_mobjects(temp_curve_circle_center)
+        temp_curve_circle_center.move_to(1.9*UP+1*RIGHT)
+        self.play(Write(temp_curve_circle_center))
+
+
+        self.add_fixed_in_frame_mobjects(delta_lab)
+        delta_lab.move_to(0.4*DOWN+1.7*RIGHT)
+        self.play(Write(delta_lab))
+
+
+
+
+
+        self.begin_ambient_camera_rotation(rate=0.2)
+        self.play(Write(sphere))
+        self.play(ShowCreation(circle), ShowCreation(line1), ShowCreation(line2))
+        self.play(ShowCreation(line3), ShowCreation(line4))
+        self.wait(8)
-- 
cgit