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authorG Sri Harsha2020-07-01 02:52:42 +0530
committerGitHub2020-07-01 02:52:42 +0530
commit4dc88251962db0d02bb290691237d216ab093a37 (patch)
tree291ed4a8f91d845e1dc4b0d2f62d31ec34fa0258 /FSF-2020
parentb697ce7de9d5197e906c8444b7b1aa0ce5cb9b64 (diff)
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Delete video2_convergence_Intuition.py
Diffstat (limited to 'FSF-2020')
-rw-r--r--FSF-2020/calculus/series-and-transformations/Power Series/video2_convergence_Intuition.py94
1 files changed, 0 insertions, 94 deletions
diff --git a/FSF-2020/calculus/series-and-transformations/Power Series/video2_convergence_Intuition.py b/FSF-2020/calculus/series-and-transformations/Power Series/video2_convergence_Intuition.py
deleted file mode 100644
index 72356c6..0000000
--- a/FSF-2020/calculus/series-and-transformations/Power Series/video2_convergence_Intuition.py
+++ /dev/null
@@ -1,94 +0,0 @@
-from manimlib.imports import *
-import numpy as np
-
-
-class convergence(Scene):
- def construct(self):
- originalFormula=TextMobject("$\sum _{ n=0 }^{ \infty }{ { a }_{ n }{ x }^{ n } }$")
- originalFormula.set_color(RED)
- self.play(Write(originalFormula))
- self.wait(1)
- self.play(ApplyMethod(originalFormula.shift,2.7*UP))
- self.wait(1)
-
- terms=["$a_{ 0 }$","$a_{ 1 }x$","$a_{ 2 }x^{ 2 }$","$a_{ 3 }x^{ 3 }$","$a_{ 4 }x^{ 4 }$","$a_{ 5 }x^{ 5 }$","$a_{ 6 }x^{ 6 }$","$a_{ 7 }x^{ 7 }$","$a_{ 8 }x^{ 8 }$","$a_{ 9 }x^{ 9 }$","$a_{ 10 }x^{ 10 }$","$a_{ 11 }x^{ 11 }$"]
- termsTogetherString="+".join(terms)
- termsTogether=TextMobject(termsTogetherString+"...")
- termsTogether.scale(0.8)
- termsTogether.shift(2.7*UP)
- self.play(ReplacementTransform(originalFormula,termsTogether))
- self.wait(1)
-
- termMobjectRect=[0]*12
- termMobject=TextMobject(terms[0])
- termMobject.shift(2.7*UP+6.2*LEFT)
- for i in range(1,13):
- termMobjectOld=termMobject
- termMobjectOld.scale(0.8)
- if(i<12):
- termMobject=TextMobject(terms[i])
- termMobject.next_to(termMobjectOld)
- if(i==1):
- rectDefine=TextMobject("Here","each rectangle","represents the","value of the term")
- rectDefine.set_color_by_tex_to_color_map({"each rectangle":BLUE,"value of the term":YELLOW})
- rectDefine.scale(0.7)
- rectDefine.shift(3.2*DOWN)
- self.play(Write(rectDefine))
- self.wait(1)
- if(i==2):
- ratio=TextMobject("If $\\frac { a_{ n+1 } }{ { a }_{ n } } < 1$")
- ratio.set_color(RED)
- ratio.scale(0.7)
- ratio.move_to(3.2*DOWN)
- inequality=TextMobject("$a_{ n+1 } < a_{ n }$")
- inequality.set_color(RED)
- inequality.scale(0.7)
- inequality.move_to(3.2*DOWN)
- self.play(FadeOut(rectDefine))
- self.play(Write(ratio))
- self.wait(1)
- self.play(ReplacementTransform(ratio,inequality))
- self.wait(1)
- #self.play(ApplyMethod(termMobjectOld.move_to,(2-0.3*i)*DOWN+RIGHT*0.2*i))
- termMobjectRect[i-1]=Rectangle(height=0.1,width=(5-0.4*i))
- termMobjectRect[i-1].move_to((2-0.2*i)*DOWN+RIGHT*0.2*i)
- #rectangles[p] = termMobjectRect
- #p+=1
- self.play(ReplacementTransform(termMobjectOld,termMobjectRect[i-1]))
-
- uparrow=TextMobject("$\\uparrow$")
- uparrow.set_color(GREEN)
- uparrow.scale(6)
- uparrow.shift(4*RIGHT+0.5*DOWN)
- self.play(ShowCreation(uparrow))
- self.wait(1)
-
- converges=TextMobject("Converges!")
- converges.set_color(RED)
- converges.scale(0.6)
- converges.next_to(uparrow)
- self.play(FadeIn(converges))
- self.wait(2)
-
- self.play(FadeOut(converges),FadeOut(uparrow),FadeOut(inequality))
- self.wait(0.5)
- rect=VGroup(termMobjectRect[0],termMobjectRect[1],termMobjectRect[2],termMobjectRect[3],termMobjectRect[4],termMobjectRect[5],termMobjectRect[6],termMobjectRect[7],termMobjectRect[8],termMobjectRect[9],termMobjectRect[10],termMobjectRect[11])
- self.play(ApplyMethod(rect.scale,0.2))
- for i in range(0,12):
- self.play(ApplyMethod(termMobjectRect[i].shift,i*0.04*DOWN+(11-(3-0.11*i)*i)*LEFT*0.3))
- func=TextMobject("$\\approx$","$f(x)$")
- func.set_color_by_tex_to_color_map({"$f(x)$":RED})
- func.scale(0.8)
- func.shift(DOWN+4.5*RIGHT+0.1*UP)
- self.play(FadeIn(func))
-
- rightarrow=TextMobject("$\\rightarrow$")
- rightarrow.set_color(GREEN)
- rightarrow.scale(4)
- rightarrow.shift(2*DOWN)
- converges=TextMobject("Hence even the","sum converges!")
- converges.set_color_by_tex_to_color_map({"sum converges!":RED})
- converges.move_to(3*DOWN)
- converges.scale(0.7)
- self.play(Write(rightarrow),FadeIn(converges))
- self.wait(2)