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authorstayaryan2020-07-10 14:49:23 +0530
committerGitHub2020-07-10 14:49:23 +0530
commit966038e00b0ae44e699422dcc579491bdc741277 (patch)
tree1bdbb5309e10f5ac596ed7ac1e6545c4c3aa2e81 /FSF-2020/calculus/intro-to-calculus/limit
parent89af65ec271fa854627b0650dacb39a56628fd1d (diff)
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Create limitdef.py
Diffstat (limited to 'FSF-2020/calculus/intro-to-calculus/limit')
-rw-r--r--FSF-2020/calculus/intro-to-calculus/limit/limitdef.py73
1 files changed, 73 insertions, 0 deletions
diff --git a/FSF-2020/calculus/intro-to-calculus/limit/limitdef.py b/FSF-2020/calculus/intro-to-calculus/limit/limitdef.py
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+++ b/FSF-2020/calculus/intro-to-calculus/limit/limitdef.py
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+from manimlib.imports import *
+class limitdef(GraphScene, Scene):
+ CONFIG = {
+ "y_max" : 5,
+ "y_min" : 0,
+ "x_max" : 5,
+ "x_min" : -5,
+ "y_tick_frequency" : 1,
+ "x_tick_frequency" : 1,
+ "axes_color" : WHITE,
+ "num_graph_anchor_points": 3000, #this is the number of points that graph manim
+ "graph_origin" : ORIGIN+2*DOWN,
+ "x_labeled_nums": None,#list(range(-1,2)),
+ "y_labeled_nums": None,#list(range(0,2)),
+ "x_axis_label":"$x$",
+ "y_axis_label":"$f(x)$",
+ "x_axis_width": 10,
+ "y_axis_height": 5,
+ }
+ def construct(self):
+ Ldot = MediumDot(self.graph_origin+2.1*UP).set_color(GREEN_SCREEN)
+ adot = MediumDot(self.graph_origin+3*RIGHT).set_color(PINK)
+ epline1 = DashedVMobject(Line(self.graph_origin+1*LEFT+2.5*UP, self.graph_origin+4*RIGHT+2.5*UP))
+ epline2 = DashedVMobject(Line(self.graph_origin+1*LEFT+1.7*UP, self.graph_origin+4*RIGHT+1.7*UP))
+ epline3 = DashedVMobject(Line(self.graph_origin+3.5*RIGHT+0.5*DOWN, self.graph_origin+3.5*RIGHT+2.5*UP))
+ epline4 = DashedVMobject(Line(self.graph_origin+2.5*RIGHT+0.5*DOWN, self.graph_origin+2.5*RIGHT+2.5*UP))
+ Lline = Line(self.graph_origin+2.1*UP, self.graph_origin+3*RIGHT+2.1*UP).set_color(GREEN_SCREEN)
+ aline = Line(self.graph_origin+3*RIGHT, self.graph_origin+3*RIGHT+2.1*UP).set_color(PINK)
+ vertical_rectangle = Rectangle(width = 1, height = 0.8, color = PINK, fill_opacity = 0.5, fill_color = LIGHT_PINK).move_to(self.graph_origin+3*RIGHT+2.1*UP)
+ horizontal_rectangle = Rectangle(width = 1, height = 0.8, color = GREEN_SCREEN, fill_opacity = 0.5, fill_color = GREEN).move_to(self.graph_origin+3*RIGHT+2.1*UP)
+ vec1 = Line(self.graph_origin+2.5*UP, self.graph_origin+2.1*UP)
+ vec2 = Line(self.graph_origin+2.1*UP, self.graph_origin+1.7*UP)
+ vec3 = Line(self.graph_origin+2.5*RIGHT, self.graph_origin+3*RIGHT)
+ vec4 = Line(self.graph_origin+3*RIGHT, self.graph_origin+3.5*RIGHT)
+ brace1 = Brace(vec1, LEFT)
+ brace2 = Brace(vec2, LEFT)
+ brace3 = Brace(vec3, DOWN)
+ brace4 = Brace(vec4, DOWN)
+ br1text = brace1.get_text(r"$\epsilon$").next_to(brace1, LEFT)
+ br2text = brace2.get_text(r"$\epsilon$").next_to(brace2, LEFT)
+ br3text = brace3.get_text(r"$\delta$").next_to(brace3, DOWN)
+ br4text = brace4.get_text(r"$\delta$").next_to(brace4, DOWN)
+ epgrp = VGroup(epline1, epline2, Ldot, adot, Lline, aline, epline4, epline3)
+ recgrp = VGroup(vertical_rectangle, horizontal_rectangle)
+ epbrgrp = VGroup(brace1, brace2, br1text, br2text)
+ delbrgrp = VGroup(brace3, brace4, br3text, br4text)
+ self.setup_axes()
+ graph_1 = self.get_graph(lambda x :0.1*(x+1)**2 +0.5, x_min = -5, x_max = 5)
+ graph_2 = self.get_graph(lambda x : 0.1*(x+1)**2 +0.5, x_min = 2.5, x_max = 3.5, color = YELLOW_A)
+ graph_2.shift(2.5*LEFT)
+ self.play(ShowCreation(graph_1))
+ self.wait(2)
+ self.play(ShowCreation(epgrp), ShowCreation(horizontal_rectangle), ShowCreation(vertical_rectangle))
+ self.wait(2)
+ self.play(ShowCreation(epbrgrp))
+ self.play(ShowCreation(delbrgrp))
+ self.wait(2)
+ self.play(FadeOut(recgrp))
+ self.wait(2)
+ for i in range(0,1):
+ self.play(ApplyMethod(graph_2.shift, 2.5*RIGHT))
+ self.wait(1)
+ self.play(ApplyMethod(graph_2.shift, 1.7*DOWN))
+ self.play(ApplyMethod(graph_2.shift, 1.7*UP))
+ self.wait(1)
+ self.play(ApplyMethod(graph_2.shift, 2.5*LEFT))
+ self.play(ApplyMethod(graph_2.shift, 2.5*RIGHT))
+ self.wait(1)
+ self.play(ApplyMethod(graph_2.shift, 1.7*DOWN))
+ self.play(ApplyMethod(graph_2.shift, 1.7*UP))
+ self.wait(1)
+ self.play(ApplyMethod(graph_2.shift, 2.5*LEFT))
+ self.wait()