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authorPurusharth S2020-05-23 18:57:11 +0530
committerPurusharth S2020-05-23 18:57:11 +0530
commitfe5e18510140b3e02f3f6f03ad449c218f1b8579 (patch)
treea3d204b56e34d19c6d7ddfaeaf8136faaff1f298 /FSF-2020/series-and-transformations/Taylor Series/script4.py
parent94c40fe490487efcba7c3cc9df0153e86bcab26a (diff)
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diff --git a/FSF-2020/series-and-transformations/Taylor Series/script4.py b/FSF-2020/series-and-transformations/Taylor Series/script4.py
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--- a/FSF-2020/series-and-transformations/Taylor Series/script4.py
+++ /dev/null
@@ -1,82 +0,0 @@
-from manimlib.imports import*
-import math
-
-
-class graphScene(GraphScene):
- CONFIG = {
- "x_min": -8,
- "x_max": 8,
- "y_min": -8,
- "y_max": 8,
- "graph_origin": ORIGIN,
- "function_color": RED,
- "axes_color": GREEN,
- "x_axis_label": "$x$",
- "y_axis_label": "$y$",
- "exclude_zero_label": True,
- "x_labeled_nums": range(-8, 8, 1),
- }
- def construct(self):
-
- x_each_unit = self.x_axis_width / (self.x_max - self.x_min)
- y_each_unit = self.y_axis_height / (self.y_max - self.y_min)
-
- self.setup_axes(animate=True)
- lnx=self.get_graph(lambda x:math.log2(x),color=RED,x_min=0.01,x_max=8)
- equation=self.get_graph(lambda x:math.log2(2)+(x-2)/2-((x-2)**2)/8+((x-2)**3)/24-((x-2)**4)/64+((x-2)**5)/160-((x-2)**6)/384,color=BLUE)
-
- terms=[TextMobject("$T_{n}:=$"),TextMobject("$ln(2)$"),TextMobject("$+\\frac { x-2 }{ 2 } $"),TextMobject("$-\\frac { (x-2)^{2} }{ 8 }$"),TextMobject("+..")]
- for obj in terms:
- obj.scale(0.5)
-
- terms[0].shift(3*UP+3*RIGHT)
- terms[1].next_to(terms[0],buff=0.1)
- terms[2].next_to(terms[1],buff=0.1)
- terms[3].next_to(terms[2],buff=0.1)
- terms[4].next_to(terms[3],buff=0.1)
-
- self.play(ShowCreation(lnx))
- self.wait(1)
- self.play(FadeIn(equation),FadeIn(terms[0]),FadeIn(terms[1]),FadeIn(terms[2]),FadeIn(terms[3]),FadeIn(terms[4]))
- self.wait(1)
-
- bottomText1=TextMobject("$R_{n}(x)=\\frac { d }{ dx } ($","area bounded","$)$")
-
- bottomText1.set_color_by_tex_to_color_map({"area bounded":ORANGE})
- #bottomText2.set_color_by_tex_to_color_map({"area bounded":BLUE})
- arrow=TextMobject("$\downarrow$")
- arrow.scale(2.5)
- arrow.shift(ORIGIN+x_each_unit*RIGHT*9.5+UP*y_each_unit)
- increasingText=TextMobject("Increases!")
- increasingText.set_color(GREEN)
- followupText=TextMobject("as n increase!")
- followupText.scale(0.3)
- followupText.shift(ORIGIN+x_each_unit*11*RIGHT+UP*y_each_unit*1.1)
- increasingText.shift(ORIGIN+x_each_unit*11*RIGHT+UP*y_each_unit*1.6)
- increasingText.scale(0.4)
-
- bottomText1.scale(0.5)
- #bottomText2.scale(0.5)
- #bottomText3.scale(0.5)
-
- bottomText1.shift(3.5*LEFT+2*DOWN)
- #bottomText2.shift(3.5*LEFT+2.4*DOWN)
- #bottomText3.shift(3.5*LEFT+2.8*DOWN)
-
- dline=DashedLine(start=ORIGIN+8*y_each_unit*UP,end=ORIGIN+8*y_each_unit*DOWN)
- dline.shift(ORIGIN+x_each_unit*4*RIGHT)
-
- area1=self.get_riemann_rectangles(lnx,x_max=8,x_min=4,dx=0.01,start_color=BLUE,end_color=RED,stroke_width=0,fill_opacity=0.8)
- area2=self.get_riemann_rectangles(equation,x_max=5.2,x_min=4,dx=0.025,start_color=BLACK,end_color=BLACK,stroke_width=0,fill_opacity=1)
-
- self.play(Write(dline))
- self.wait(0.5)
- self.play(ShowCreation(area1),ShowCreation(area2),Write(bottomText1))
- # self.play(Write(bottomText2))
- # self.play(FadeIn(bottomText3))
- self.play(Write(arrow))
- self.wait(0.7)
- self.play(Write(increasingText))
- self.play(FadeIn(followupText))
- self.wait(2)
- \ No newline at end of file