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1 files changed, 128 insertions, 0 deletions

diff --git a/FSF-2020/series-and-transformations/script1.py b/FSF-2020/series-and-transformations/script1.py
new file mode 100644
index 0000000..28eb07c
--- /dev/null
+++ b/FSF-2020/series-and-transformations/script1.py
@@ -0,0 +1,128 @@
+from manimlib.imports import *
+
+
+def formFormula(coeff_list,variable_list):
+    coeff_list=[TextMobject("${ a }_{ 0 }$"),TextMobject("${ a }_{ 1 }$"),TextMobject("${ a }_{ 2 }$")]
+    variable_list=[TextMobject("+"),TextMobject("${ x }$+"),TextMobject("${ x }^{ 2 }$")]
+    coeff_list[0].shift(2.2*UP+1.6*LEFT)    
+    for i in range(0,3):
+        coeff_list[i].set_color(GOLD_A)
+        variable_list[i].next_to(coeff_list[i],buff=0.1)
+        if i!=2:
+            coeff_list[i+1].next_to(variable_list[i],buff=0.1)
+    dots=TextMobject("...")
+    dots.next_to(variable_list[2])
+    expansion=VGroup(coeff_list[0],coeff_list[1],coeff_list[2],variable_list[0],variable_list[1],variable_list[2],dots)
+    expansion.scale(0.7)
+    return expansion
+
+class pieChart(Scene):
+    def construct(self):
+        circle1=Circle(radius=3,color=BLUE)
+        powerText=TextMobject("Power Series")
+        powerText.scale(0.8)
+        self.play(FadeIn(powerText))
+        self.play(ShowCreation(circle1))
+        self.wait(1)
+
+        powerGroup=VGroup(circle1,powerText)
+
+        self.play(ApplyMethod(powerGroup.scale,0.5))
+        self.play(ApplyMethod(powerGroup.move_to,2.2*UP))
+        self.wait(0.5)
+        expansion_power_coeff=[]
+        variables_power=[]
+        expansion_power=formFormula(expansion_power_coeff,variables_power)
+        self.play(ReplacementTransform(powerText,expansion_power))
+        self.wait(1)
+
+        circle2=Circle(radius=1.5)
+        circle2.shift(2.2*UP)
+        expansion_geo_coeff=[0]*3
+        variables_geo=[0]*3
+        arrow1_2=Line(start=0.7*UP,end=2.5*LEFT)
+        expansion_geo_coeff=[TextMobject("${ a }_{ 0 }$"),TextMobject("${ a }_{ 1 }$"),TextMobject("${ a }_{ 2 }$")]
+        for i in range(0,3):
+            expansion_geo_coeff[i].set_color(GOLD_A)
+        variables_geo=[TextMobject("+"),TextMobject("${ x }$+"),TextMobject("${ x }^{ 2 }$")]
+        expansion_geo_coeff[0].shift(2.2*UP+1.6*LEFT)
+        for i in range(0,3):
+            variables_geo[i].next_to(expansion_geo_coeff[i],buff=0.1)
+            if i!=2:
+                expansion_geo_coeff[i+1].next_to(variables_geo[i],buff=0.1)
+        dots=TextMobject("...")
+        dots.next_to(variables_geo[2])
+        expansion_geo=VGroup(expansion_geo_coeff[0],expansion_geo_coeff[1],expansion_geo_coeff[2],variables_geo[0],variables_geo[1],variables_geo[2],dots)
+        expansion_geo.scale(0.7)
+
+        self.play(ApplyMethod(circle2.shift,4*LEFT+2.5*DOWN),ApplyMethod(expansion_geo.shift,4*LEFT+2.5*DOWN))
+        self.add(arrow1_2)
+        self.wait(1)
+
+        ones=[TextMobject("1"),TextMobject("1"),TextMobject("1")]
+        for i in range(0,3):
+            ones[i].set_color(GOLD_A)
+        ones[0].shift(0.3*DOWN,5*LEFT)
+        ones[1].next_to(ones[0],buff=0.5)
+        ones[2].next_to(ones[1],buff=0.7)
+        self.play(ReplacementTransform(expansion_geo_coeff[0],ones[0]),ReplacementTransform(expansion_geo_coeff[1],ones[1]),ReplacementTransform(expansion_geo_coeff[2],ones[2]))
+        self.wait(1)
+        expansion_geo=VGroup(ones[0],ones[1],ones[2],variables_geo[0],variables_geo[1],variables_geo[2],dots)
+
+        expansion_geo_final=TextMobject("$1+x+{ x }^{ 2 }..$")
+        expansion_geo_final.scale(0.8)
+        expansion_geo_final.shift(0.3*DOWN+4*LEFT)
+        self.play(ReplacementTransform(expansion_geo,expansion_geo_final))
+        self.wait(1)
+
+        circle3=Circle(radius=1.5,color=GREEN)
+        circle3.shift(2.2*UP)
+        expansion_taylor_coeff=[0]*3
+        variables_taylor=[0]*3
+        arrow1_3=Line(start=0.7*UP,end=DOWN*0.3)
+        expansion_taylor_coeff=[TextMobject("${ a }_{ 0 }$"),TextMobject("${ a }_{ 1 }$"),TextMobject("${ a }_{ 2 }$")]
+        for i in range(0,3):
+            expansion_taylor_coeff[i].set_color(GOLD_A)
+        variables_taylor=[TextMobject("+"),TextMobject("${ x }$+"),TextMobject("${ x }^{ 2 }$")]
+        expansion_taylor_coeff[0].shift(2.2*UP+1.6*LEFT)
+        for i in range(0,3):
+            variables_taylor[i].next_to(expansion_taylor_coeff[i],buff=0.1)
+            if i!=2:
+                expansion_taylor_coeff[i+1].next_to(variables_taylor[i],buff=0.1)
+        dots=TextMobject("...")
+        dots.next_to(variables_taylor[2])
+        expansion_taylor=VGroup(expansion_taylor_coeff[0],expansion_taylor_coeff[1],expansion_taylor_coeff[2],variables_taylor[0],variables_taylor[1],variables_taylor[2],dots)
+        expansion_taylor.scale(0.7)
+
+        self.play(ApplyMethod(circle3.shift,4*DOWN),ApplyMethod(expansion_taylor.shift,4*DOWN))
+        self.add(arrow1_3)
+        self.wait(1)        
+
+        differentials=[TextMobject("$f(0)$"),TextMobject("${ f'\left( 0 \\right) }$"),TextMobject("$\\frac { f''\left( 0 \\right)  }{ 2! }$")]
+        for i in range(0,3):
+            differentials[i].set_color(GOLD_A)
+        differentials[0].shift(1.8*DOWN+1.15*LEFT)
+        differentials[1].shift(1.8*DOWN+0.45*LEFT)
+        differentials[2].shift(1.8*DOWN+0.45*RIGHT)
+        differentials[0].scale(0.35)
+        differentials[1].scale(0.35)
+        differentials[2].scale(0.35)
+        self.play(ReplacementTransform(expansion_taylor_coeff[0],differentials[0]),ReplacementTransform(expansion_taylor_coeff[1],differentials[1]),ReplacementTransform(expansion_taylor_coeff[2],differentials[2]))
+        self.wait(2)
+        expansion_taylor_final=VGroup(differentials[0],differentials[1],differentials[2],variables_taylor[0],variables_taylor[1],variables_taylor[2],dots)
+
+        self.play(FadeOut(expansion_geo_final),FadeOut(expansion_taylor_final))
+        geoText=TextMobject("Geometric Series")
+        geoText.scale(0.7)
+        geoText.shift(4*LEFT+0.3*DOWN)
+        taylorText=TextMobject("Taylor Series")
+        taylorText.scale(0.7)
+        taylorText.shift(1.8*DOWN)
+        self.play(FadeIn(geoText),FadeIn(taylorText))
+        self.wait(1)
+
+        soOntext=TextMobject("So on..!")
+        soOntext.shift(4*RIGHT)
+        soOntext.scale(0.8)
+        self.play(FadeIn(soOntext))
+        self.wait(2)