From b02030eee74d000da6e939db98e76670d22d7c37 Mon Sep 17 00:00:00 2001 From: G Sri Harsha Date: Sat, 16 May 2020 17:51:11 +0530 Subject: Rename script1.py to script2.py --- FSF-2020/series-and-transformations/script1.py | 94 -------------------------- FSF-2020/series-and-transformations/script2.py | 94 ++++++++++++++++++++++++++ 2 files changed, 94 insertions(+), 94 deletions(-) delete mode 100644 FSF-2020/series-and-transformations/script1.py create mode 100644 FSF-2020/series-and-transformations/script2.py (limited to 'FSF-2020') diff --git a/FSF-2020/series-and-transformations/script1.py b/FSF-2020/series-and-transformations/script1.py deleted file mode 100644 index 72356c6..0000000 --- a/FSF-2020/series-and-transformations/script1.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) diff --git a/FSF-2020/series-and-transformations/script2.py b/FSF-2020/series-and-transformations/script2.py new file mode 100644 index 0000000..72356c6 --- /dev/null +++ b/FSF-2020/series-and-transformations/script2.py @@ -0,0 +1,94 @@ +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) -- cgit