diff options
Diffstat (limited to 'FSF-2020/calculus')
-rw-r--r-- | FSF-2020/calculus/series-and-transformations/Power Series/video4_radius_and_intervalOfConvergence.py | 108 |
1 files changed, 0 insertions, 108 deletions
diff --git a/FSF-2020/calculus/series-and-transformations/Power Series/video4_radius_and_intervalOfConvergence.py b/FSF-2020/calculus/series-and-transformations/Power Series/video4_radius_and_intervalOfConvergence.py deleted file mode 100644 index 412d20c..0000000 --- a/FSF-2020/calculus/series-and-transformations/Power Series/video4_radius_and_intervalOfConvergence.py +++ /dev/null @@ -1,108 +0,0 @@ -from manimlib.imports import * -import math - -class intro(Scene): - def construct(self): - introText1=TextMobject("Consider the","above","example..") - introText1.scale(0.8) - introText1.set_color_by_tex_to_color_map({"above":YELLOW}) - self.play(Write(introText1)) - self.wait(1) - -class graphScene(GraphScene,MovingCameraScene): - CONFIG = { - "x_min": -5, - "x_max": 5, - "y_min": -5, - "y_max": 5, - "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(-1, 2, 1), - "y_labeled_nums": range(0,2,1), - "y_axis_height":7, - "x_axis_width":7 - } - - def setup(self): - GraphScene.setup(self) - MovingCameraScene.setup(self) - - 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) - - function_expan=TextMobject("$1-{ x }^{ 2 }+{ x }^{ 4 }-{ x }^{ 6 }+{ x }^{ 8 }+..$") - function_expan.scale(0.6) - function_expan.set_color(RED) - function_expan.to_edge(UP+RIGHT) - self.add(function_expan) - - self.setup_axes() - - equation = self.get_graph(lambda x : 1-math.pow(x,2)+math.pow(x,4)-math.pow(x,6)+math.pow(x,8)-math.pow(x,10)+math.pow(x,12)-math.pow(x,14)+math.pow(x,16)-math.pow(x,18),color = RED,x_min = -1.1,x_max=1.1) - self.play(ShowCreation(equation)) - self.wait(1) - - dashLineLeft=DashedLine(start=ORIGIN+y_each_unit*5*UP,end=ORIGIN+y_each_unit*5*DOWN) - dashLineRight=DashedLine(start=ORIGIN+y_each_unit*5*UP,end=ORIGIN+y_each_unit*5*DOWN) - dashLineLeft.shift(ORIGIN+LEFT*x_each_unit) - dashLineRight.shift(ORIGIN+RIGHT*x_each_unit) - radiusLine=Line(start=ORIGIN,end=ORIGIN+RIGHT*x_each_unit) - rangeLine=Line(start=ORIGIN+LEFT*x_each_unit,end=ORIGIN+RIGHT*x_each_unit) - circle=Circle(radius=x_each_unit) - movingPoint=Circle(radius=0.025) - movingPoint.shift(ORIGIN+RIGHT*x_each_unit) - circleEq1=self.get_graph(lambda x:math.sqrt(1-x**2),color=BLUE,x_max=-1,x_min=1) - circleEq2=self.get_graph(lambda x:-math.sqrt(1-x**2),color=BLUE,x_max=1,x_min=-1) - - self.play(Write(dashLineLeft),Write(dashLineRight)) - self.wait(1) - - equation_updated=self.get_graph(lambda x : 1-math.pow(x,2)+math.pow(x,4)-math.pow(x,6)+math.pow(x,8)-math.pow(x,10)+math.pow(x,12)-math.pow(x,14)+math.pow(x,16)-math.pow(x,18),color = GREEN,x_min = -1,x_max=1) - self.play(FadeOut(self.axes),ReplacementTransform(equation,equation_updated)) - self.wait(0.5) - self.play(Write(radiusLine)) - self.play(MoveAlongPath(movingPoint,circleEq1)) - self.play(MoveAlongPath(movingPoint,circleEq2)) - self.play(FadeIn(circle)) - self.wait(1) - - radiusText=TextMobject("Radius of convergence") - radiusText.scale(0.14) - radiusText.shift(ORIGIN+RIGHT*x_each_unit*0.45+DOWN*y_each_unit*0.2) - - self.play(Write(radiusText)) - self.wait(0.6) - - self.camera_frame.save_state() - self.camera_frame.set_width(5.5) - self.play(self.camera_frame.move_to, ORIGIN) - self.wait(1) - self.camera_frame.set_width(14) - self.wait(1.3) - - self.play(FadeOut(radiusText),FadeOut(circle),FadeOut(movingPoint)) - extendLine=Line(start=ORIGIN,end=ORIGIN+x_each_unit*LEFT) - self.play(Write(extendLine)) - doubleArrow=TextMobject("$\longleftrightarrow$") - doubleArrow.scale(1.6) - doubleArrow.set_color(BLUE) - doubleArrow.shift(ORIGIN+DOWN*y_each_unit*0.5) - self.play(FadeIn(doubleArrow)) - self.wait(1) - rangeText=TextMobject("Interval of convergence") - rangeText.scale(0.15) - rangeText.shift(ORIGIN+y_each_unit*DOWN) - self.play(Write(rangeText)) - self.wait(0.6) - - self.camera_frame.save_state() - self.camera_frame.set_width(5.5) - self.play(self.camera_frame.move_to, ORIGIN) - self.wait(1) - self.camera_frame.set_width(14) - self.wait(1.5) |