From ae89b51ed274c28c5351113b9a37beb0eeb0c487 Mon Sep 17 00:00:00 2001 From: nishanpoojary Date: Tue, 26 May 2020 12:19:40 +0530 Subject: Delete multivariable_func_derivative_vectorvf.py --- .../multivariable_func_derivative_vectorvf.py | 247 --------------------- 1 file changed, 247 deletions(-) delete mode 100644 FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Multivariable Functions/multivariable_func_derivative_vectorvf.py diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Multivariable Functions/multivariable_func_derivative_vectorvf.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Multivariable Functions/multivariable_func_derivative_vectorvf.py deleted file mode 100644 index 466e389..0000000 --- a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Multivariable Functions/multivariable_func_derivative_vectorvf.py +++ /dev/null @@ -1,247 +0,0 @@ -from manimlib.imports import * - -class Derivative(GraphScene): - CONFIG = { - "x_min": 0, - "x_max": 3, - "y_min": 0, - "y_max": 5, - "graph_origin": ORIGIN+6*LEFT+3*DOWN, - "x_axis_width": 6, - "x_labeled_nums": list(range(0, 4)), - "y_labeled_nums": list(range(0, 6)), - } - def construct(self): - - XTD = self.x_axis_width/(self.x_max - self.x_min) - YTD = self.y_axis_height/(self.y_max - self.y_min) - - self.setup_axes(animate = True) - - graph = self.get_graph(lambda x : x*x, x_min = 0.5, x_max = 2, color = GREEN) - - point1 = Dot().shift(self.graph_origin+0.25*YTD*UP + 0.5*XTD*RIGHT) - point1_lab = TextMobject(r"$t = a$") - point1_lab.scale(0.7) - point1_lab.next_to(point1, RIGHT) - - point2 = Dot().shift(self.graph_origin+2*XTD*RIGHT+4*YTD*UP) - point2_lab = TextMobject(r"$t = b$") - point2_lab.scale(0.7) - point2_lab.next_to(point2, RIGHT) - - - vector1 = Arrow(self.graph_origin, self.graph_origin+1*YTD*UP + 1*XTD*RIGHT, buff=0.02, color = RED) - vector1_lab = TextMobject(r"$\vec r(t)$", color = RED) - vector1_lab.move_to(self.graph_origin+1.2*XTD*RIGHT+ 0.75*YTD*UP) - vector1_lab.scale(0.8) - - vector2 = Arrow(self.graph_origin, self.graph_origin+2.25*YTD*UP + 1.5*XTD*RIGHT, buff=0.02, color = YELLOW_C) - vector2_lab = TextMobject(r"$\vec r(t + h)$", color = YELLOW_C) - vector2_lab.move_to(self.graph_origin+0.5*XTD*RIGHT+ 2*YTD*UP) - vector2_lab.scale(0.8) - - vector3 = Arrow(self.graph_origin+1*YTD*UP + 1*XTD*RIGHT, self.graph_origin+2.25*YTD*UP + 1.5*XTD*RIGHT, buff=0.02, color = PINK) - vector3_lab = TextMobject(r"$\vec r(t + h) - \vec r(t)$", color = PINK) - vector3_lab.move_to(self.graph_origin+2*XTD*RIGHT+ 1.5*YTD*UP) - vector3_lab.scale(0.8) - - - self.play(ShowCreation(graph)) - self.play(ShowCreation(point1), Write(point1_lab)) - self.play(ShowCreation(point2), Write(point2_lab)) - - self.play(GrowArrow(vector1),Write(vector1_lab)) - self.play(GrowArrow(vector2),Write(vector2_lab)) - self.play(GrowArrow(vector3),Write(vector3_lab)) - self.wait(1) - - self.display_text() - - self.play(ApplyMethod(vector3_lab.move_to,(self.graph_origin+2.3*XTD*RIGHT+ 2.2*YTD*UP))) - - vector4 = Arrow(self.graph_origin+1*YTD*UP + 1*XTD*RIGHT, self.graph_origin+1*YTD*UP + 1.5*XTD*RIGHT, buff=0.02, color = PURPLE) - vector4_lab = TextMobject(r"$dx$", color = PURPLE) - vector4_lab.move_to(self.graph_origin+1.7*XTD*RIGHT+ 0.8*YTD*UP) - vector4_lab.scale(0.7) - - vector5 = Arrow(self.graph_origin+1*YTD*UP + 1.5*XTD*RIGHT, self.graph_origin+2.25*YTD*UP + 1.5*XTD*RIGHT, buff=0.02, color = ORANGE) - vector5_lab = TextMobject(r"$dy$", color = ORANGE) - vector5_lab.move_to(self.graph_origin+1.7*XTD*RIGHT+ 1.4*YTD*UP) - vector5_lab.scale(0.7) - - self.play(GrowArrow(vector4),Write(vector4_lab)) - self.play(GrowArrow(vector5),Write(vector5_lab)) - self.wait(2) - - - - def display_text(self): - text1 = TextMobject(r"$\vec r(t)$",r"+", r"$\vec r(t + h) - \vec r(t)$") - text1[0].set_color(RED) - text1[2].set_color(PINK) - text1.scale(0.7) - - text2 = TextMobject(r"$\vec r(t + h)$", color = YELLOW_C) - text2.scale(0.7) - - text3 = TextMobject(r"$ \vec r(t + h) - \vec r(t)$", color = PINK) - text3.scale(0.7) - - text4 = TextMobject(r"[", r"$x(t+h)$", r"$\vec i$", r"+", r"$y(t+h)$", r"$\vec j$", r"$] - [$", r"$x(t)$", r"$\vec i$", r"+", r"y(t)", r"$\vec j$", r"]") - text4.set_color_by_tex(r"\vec i", BLUE) - text4.set_color_by_tex(r"\vec j", GREEN) - text4[1].set_color(YELLOW_C) - text4[4].set_color(YELLOW_C) - text4[-6].set_color(RED) - text4[-3].set_color(RED) - text4.scale(0.7) - - text5 = TextMobject(r"$[x(t+h) - x(t)]$", r"$\vec i$", r"+", r"$[y(t+h) + y(t)]$", r"$\vec j$") - text5.set_color_by_tex(r"\vec i", BLUE) - text5.set_color_by_tex(r"\vec j", GREEN) - text5[0].set_color(PURPLE) - text5[3].set_color(ORANGE) - text5.scale(0.7) - - text6 = TextMobject(r"$\frac{[\vec r(t + h) - \vec r(t)]}{h}$", r"=", r"$\frac{[x(t+h) - x(t)]}{h}$", r"$\vec i$", r"+", r"$\frac{[y(t+h) + y(t)]}{h}$", r"$\vec j$") - text6.set_color_by_tex(r"\vec i", BLUE) - text6.set_color_by_tex(r"\vec j", GREEN) - text6[0].set_color(PINK) - text6[2].set_color(PURPLE) - text6[-2].set_color(ORANGE) - text6.scale(0.8) - - text7 = TextMobject(r"$\lim_{h \rightarrow 0}$", r"$\frac{[\vec r(t + h) - \vec r(t)]}{h}$", r"=", r"$\lim_{h \rightarrow 0}$", r"$\frac{[x(t+h) - x(t)]}{h}$", r"$\vec i$", r"+", r"$\lim_{h \rightarrow 0}$", r"$\frac{[y(t+h) + y(t)]}{h}$", r"$\vec j$") - text7.set_color_by_tex(r"\vec i", BLUE) - text7.set_color_by_tex(r"\vec j", GREEN) - text7[1].set_color(PINK) - text7[4].set_color(PURPLE) - text7[-2].set_color(ORANGE) - text7.scale(0.6) - - text8 = TextMobject(r"$\vec r'(t)$", r"=",r"$\vec x'(t)$", r"$\vec i$", r"+", r"$\vec y'(t)$", r"$\vec j$") - text8.set_color_by_tex(r"\vec i", BLUE) - text8.set_color_by_tex(r"\vec j", GREEN) - text8[0].set_color(PINK) - text8[2].set_color(PURPLE) - text8[5].set_color(ORANGE) - text8.scale(0.7) - - text9 = TextMobject(r"$\frac{d \vec r}{dt}$", r"=", r"$\frac{d \vec x}{dt}$", r"$\vec i$", r"+", r"$\frac{d \vec y}{dt}$", r"$\vec j$") - text9.set_color_by_tex(r"\vec i", BLUE) - text9.set_color_by_tex(r"\vec j", GREEN) - text9[0].set_color(PINK) - text9[2].set_color(PURPLE) - text9[5].set_color(ORANGE) - text9.scale(0.7) - - - text10 = TextMobject(r"$d \vec r$", r"=", r"$\frac{d \vec x}{dt}dt$", r"$\vec i$", r"+", r"$\frac{d \vec y}{dt}dt$", r"$\vec j$") - text10.set_color_by_tex(r"\vec i", BLUE) - text10.set_color_by_tex(r"\vec j", GREEN) - text10[0].set_color(PINK) - text10[2].set_color(PURPLE) - text10[5].set_color(ORANGE) - text10.scale(0.7) - - text11 = TextMobject(r"$d \vec r$", r"=", r"$x'(t)dt$", r"$\vec i$", r"+", r"$y'(t)dt$", r"$\vec j$") - text11.set_color_by_tex(r"\vec i", BLUE) - text11.set_color_by_tex(r"\vec j", GREEN) - text11[0].set_color(PINK) - text11[2].set_color(PURPLE) - text11[5].set_color(ORANGE) - text11.scale(0.7) - - text12 = TextMobject(r"$d \vec r$", r"=", r"$dx$", r"$\vec i$", r"+", r"$dy$", r"$\vec j$") - text12.set_color_by_tex(r"\vec i", BLUE) - text12.set_color_by_tex(r"\vec j", GREEN) - text12[0].set_color(PINK) - text12[2].set_color(PURPLE) - text12[5].set_color(ORANGE) - text12.scale(0.7) - - - text1.move_to(1*UP+2.7*RIGHT) - text2.move_to(1*UP+2.7*RIGHT) - text3.move_to(1*UP+2.7*RIGHT) - text4.move_to(1*UP+2.7*RIGHT) - text5.move_to(1*UP+2.7*RIGHT) - text6.move_to(1*UP+2.7*RIGHT) - text7.move_to(1*UP+2.5*RIGHT) - text8.move_to(1*UP+2.7*RIGHT) - text9.move_to(1*UP+2.7*RIGHT) - text10.move_to(1*UP+2.7*RIGHT) - text11.move_to(1*UP+2.7*RIGHT) - text12.move_to(1*UP+2.7*RIGHT) - - brace1 = Brace(text7[0:2], DOWN, buff = SMALL_BUFF) - brace2 = Brace(text7[3:6], UP, buff = SMALL_BUFF) - brace3 = Brace(text7[7:], DOWN, buff = SMALL_BUFF) - t1 = brace1.get_text(r"$\vec r'(t)$") - t1.set_color(PINK) - - t2 = brace2.get_text(r"$\vec x'(t)$") - t2.set_color(PURPLE) - - t3 = brace3.get_text(r"$\vec y'(t)$") - t3.set_color(ORANGE) - - - self.play(Write(text1)) - self.play(Transform(text1, text2)) - self.wait(1) - - self.play(Transform(text1, text3)) - self.wait(1) - - self.play(Transform(text1, text4)) - self.wait(1) - - self.play(Transform(text1, text5)) - self.wait(1) - - self.play(Transform(text1, text6)) - self.wait(1) - - self.play(Transform(text1, text7)) - self.wait(1) - - self.play( - GrowFromCenter(brace1), - FadeIn(t1), - ) - self.wait() - self.play( - ReplacementTransform(brace1.copy(),brace2), - ReplacementTransform(t1.copy(),t2) - ) - self.wait() - self.play( - ReplacementTransform(brace2.copy(),brace3), - ReplacementTransform(t2.copy(),t3) - ) - self.wait() - - self.play(FadeOut(brace1), FadeOut(t1), FadeOut(brace2), FadeOut(t2), FadeOut(brace3), FadeOut(t3),) - self.wait() - - self.play(Transform(text1, text8)) - self.wait(1) - - self.play(Transform(text1, text9)) - self.wait(1) - - self.play(Transform(text1, text10)) - self.wait(1) - - self.play(Transform(text1, text11)) - self.wait(1) - - self.play(Transform(text1, text12)) - self.wait(1) - - - - - -- cgit