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author | Purusharth S | 2020-05-23 18:57:11 +0530 |
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committer | Purusharth S | 2020-05-23 18:57:11 +0530 |
commit | fe5e18510140b3e02f3f6f03ad449c218f1b8579 (patch) | |
tree | a3d204b56e34d19c6d7ddfaeaf8136faaff1f298 /FSF-2020/series-and-transformations/Taylor Series/script4.py | |
parent | 94c40fe490487efcba7c3cc9df0153e86bcab26a (diff) | |
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-rw-r--r-- | FSF-2020/series-and-transformations/Taylor Series/script4.py | 82 |
1 files changed, 0 insertions, 82 deletions
diff --git a/FSF-2020/series-and-transformations/Taylor Series/script4.py b/FSF-2020/series-and-transformations/Taylor Series/script4.py deleted file mode 100644 index 1f41c97..0000000 --- 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) -
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