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author | G Sri Harsha | 2020-07-01 02:52:42 +0530 |
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committer | GitHub | 2020-07-01 02:52:42 +0530 |
commit | 4dc88251962db0d02bb290691237d216ab093a37 (patch) | |
tree | 291ed4a8f91d845e1dc4b0d2f62d31ec34fa0258 /FSF-2020 | |
parent | b697ce7de9d5197e906c8444b7b1aa0ce5cb9b64 (diff) | |
download | FSF-mathematics-python-code-archive-4dc88251962db0d02bb290691237d216ab093a37.tar.gz FSF-mathematics-python-code-archive-4dc88251962db0d02bb290691237d216ab093a37.tar.bz2 FSF-mathematics-python-code-archive-4dc88251962db0d02bb290691237d216ab093a37.zip |
Delete video2_convergence_Intuition.py
Diffstat (limited to 'FSF-2020')
-rw-r--r-- | FSF-2020/calculus/series-and-transformations/Power Series/video2_convergence_Intuition.py | 94 |
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) |