From 6e98ea022e8e27e592d905dd04c07fc07164dde5 Mon Sep 17 00:00:00 2001 From: nishanpoojary Date: Sat, 25 Jul 2020 11:09:41 +0530 Subject: Delete file4_vectorvf_sine.py --- .../multivariable-functions/file4_vectorvf_sine.py | 91 ---------------------- 1 file changed, 91 deletions(-) delete mode 100644 FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file4_vectorvf_sine.py (limited to 'FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file4_vectorvf_sine.py') diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file4_vectorvf_sine.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file4_vectorvf_sine.py deleted file mode 100644 index 06e225e..0000000 --- a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file4_vectorvf_sine.py +++ /dev/null @@ -1,91 +0,0 @@ -from manimlib.imports import * - -class SineVectors(GraphScene): - CONFIG = { - "x_min": 0, - "x_max": 10, - "y_min": -1, - "y_max": 1, - "graph_origin": ORIGIN+4*LEFT, - #"x_labeled_nums": list(range(-5, 6)), - #"y_labeled_nums": list(range(0, 5)), - } - 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) - - - sine1 = self.get_graph(lambda x : np.sin(x), x_min = 0, x_max = 1.575, color = GREEN) - - point1 = Dot().shift(self.graph_origin+1*YTD*UP + 1.575*XTD*RIGHT) - point1_lab = TextMobject(r"$t = (\frac{\pi}{2})$") - point1_lab.scale(0.7) - point1_lab.next_to(point1, UP) - - vector1 = Arrow(self.graph_origin, self.graph_origin+1*YTD*UP + 1.575*XTD*RIGHT, buff=0.1, color = RED) - vector1_lab = TextMobject(r"$r(\frac{\pi}{2})$", color = RED) - vector1_lab.move_to(self.graph_origin+1.5*XTD*RIGHT+ 0.5*YTD*UP) - - self.play(GrowArrow(vector1),Write(vector1_lab)) - self.play(ShowCreation(point1), Write(point1_lab)) - self.play(ShowCreation(sine1)) - self.wait(1) - - - sine2 = self.get_graph(lambda x : np.sin(x), x_min = 1.575, x_max = 3.15, color = GREEN) - - point2 = Dot().shift(self.graph_origin+3.15*XTD*RIGHT) - point2_lab = TextMobject(r"$t = (\pi)$") - point2_lab.scale(0.7) - point2_lab.next_to(point2, UP+RIGHT) - - vector2 = Arrow(self.graph_origin, self.graph_origin+3.15*XTD*RIGHT, buff=0.1, color = BLUE) - vector2_lab = TextMobject(r"$r(\pi)$", color = BLUE) - vector2_lab.move_to(self.graph_origin+1.5*XTD*RIGHT+ 0.15*YTD*UP) - - self.play(GrowArrow(vector2),Write(vector2_lab)) - self.play(ShowCreation(point2), Write(point2_lab)) - self.play(ShowCreation(sine2)) - self.wait(1) - - - sine3 = self.get_graph(lambda x : np.sin(x), x_min = 3.15, x_max = 4.725, color = GREEN) - - point3 = Dot().shift(self.graph_origin+1*YTD*DOWN + 4.725*XTD*RIGHT) - point3_lab = TextMobject(r"$t = (\frac{3\pi}{2})$") - point3_lab.scale(0.7) - point3_lab.next_to(point3, DOWN) - - vector3 = Arrow(self.graph_origin, self.graph_origin+1*YTD*DOWN + 4.725*XTD*RIGHT, buff=0.1, color = YELLOW_C) - vector3_lab = TextMobject(r"$r(\frac{3\pi}{2})$", color = YELLOW_C) - vector3_lab.move_to(self.graph_origin+2*XTD*RIGHT+ 0.7*YTD*DOWN) - - self.play(GrowArrow(vector3),Write(vector3_lab)) - self.play(ShowCreation(point3), Write(point3_lab)) - self.play(ShowCreation(sine3)) - self.wait(1) - - - sine4 = self.get_graph(lambda x : np.sin(x), x_min = 4.725, x_max = 6.3, color = GREEN) - - point4 = Dot().shift(self.graph_origin+6.3*XTD*RIGHT) - point4_lab = TextMobject(r"$t = (2\pi)$") - point4_lab.scale(0.7) - point4_lab.next_to(point4, UP+RIGHT) - - vector4 = Arrow(self.graph_origin, self.graph_origin+6.3*XTD*RIGHT, buff=0.1, color = PURPLE) - vector4_lab = TextMobject(r"$r(2\pi)$", color = PURPLE) - vector4_lab.move_to(self.graph_origin+4.5*XTD*RIGHT+ 0.15*YTD*DOWN) - - self.play(GrowArrow(vector4),Write(vector4_lab)) - self.play(ShowCreation(point4), Write(point4_lab)) - self.play(ShowCreation(sine4)) - self.wait(3) - -- cgit From b4e29874270e2af618fb57d0ab3b0a511da4370a Mon Sep 17 00:00:00 2001 From: nishanpoojary Date: Sat, 25 Jul 2020 11:09:53 +0530 Subject: Add files via upload --- .../multivariable-functions/file4_vectorvf_sine.py | 114 +++++++++++++++++++++ 1 file changed, 114 insertions(+) create mode 100644 FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file4_vectorvf_sine.py (limited to 'FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file4_vectorvf_sine.py') diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file4_vectorvf_sine.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file4_vectorvf_sine.py new file mode 100644 index 0000000..3c5bb25 --- /dev/null +++ b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file4_vectorvf_sine.py @@ -0,0 +1,114 @@ +from manimlib.imports import * + +class SineVectors(GraphScene): + CONFIG = { + "x_min": 0, + "x_max": 10, + "y_min": -5, + "y_max": 5, + "graph_origin": ORIGIN+4*LEFT, + "x_axis_width": 7, + "y_axis_height": 7, + } + 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) + + sine = self.get_graph(lambda x : np.pi*np.sin(x), x_min = 0, x_max = 6.3, color = GREEN) + + + dot1 = Dot().rotate(PI/2).set_color(RED_C) + alpha1 = ValueTracker(0) + vector1 = self.get_vector(alpha1.get_value(),sine) + dot1.add_updater(lambda m: m.move_to(vector1.get_end())) + self.play( + ShowCreation(sine), + GrowFromCenter(dot1), + GrowArrow(vector1) + ) + vector1.add_updater( + lambda m: m.become( + self.get_vector(alpha1.get_value()%1,sine) + ) + ) + self.add(vector1,dot1) + self.play(alpha1.increment_value, 1, run_time=5, rate_func=linear) + + + self.play(FadeOut(vector1), FadeOut(dot1), FadeOut(sine)) + + self.wait() + + + sine1 = self.get_graph(lambda x : np.pi*np.sin(x), x_min = 0, x_max = 1.575, color = GREEN_C) + + point1 = Dot().shift(self.graph_origin+np.pi*YTD*UP + 1.575*XTD*RIGHT) + point1_lab = TextMobject(r"$t = (\frac{\pi}{2})$", color = GREY).scale(0.6).next_to(point1, 0.5*UP) + + + vector1 = Arrow(self.graph_origin, self.graph_origin+np.pi*YTD*UP + 1.575*XTD*RIGHT, buff=0, color = RED_C, tip_length = 0.25) + vector1_lab = TextMobject(r"$r(\frac{\pi}{2})$", color = RED).scale(0.7).move_to(self.graph_origin+1.5*XTD*RIGHT+ 1.5*YTD*UP) + + self.play(GrowArrow(vector1),Write(vector1_lab)) + self.play(ShowCreation(point1), Write(point1_lab)) + self.play(ShowCreation(sine1)) + self.wait(1) + + + sine2 = self.get_graph(lambda x : np.pi*np.sin(x), x_min = 1.575, x_max = 3.15, color = GREEN_C) + + point2 = Dot().shift(self.graph_origin+3.15*XTD*RIGHT) + point2_lab = TextMobject(r"$t = (\pi)$", color = GREY).scale(0.6).next_to(point2, 0.5*UP+0.5*RIGHT) + + vector2 = Arrow(self.graph_origin, self.graph_origin+3.15*XTD*RIGHT, buff=0, color = BLUE, tip_length = 0.25) + vector2_lab = TextMobject(r"$r(\pi)$", color = BLUE).scale(0.7).move_to(self.graph_origin+1.5*XTD*RIGHT+ 0.4*YTD*UP) + + self.play(GrowArrow(vector2),Write(vector2_lab)) + self.play(ShowCreation(point2), Write(point2_lab)) + self.play(ShowCreation(sine2)) + self.wait(1) + + + sine3 = self.get_graph(lambda x : np.pi*np.sin(x), x_min = 3.15, x_max = 4.725, color = GREEN_C) + + point3 = Dot().shift(self.graph_origin+np.pi*YTD*DOWN + 4.725*XTD*RIGHT) + point3_lab = TextMobject(r"$t = (\frac{3\pi}{2})$", color = GREY).scale(0.6).next_to(point3, 0.5*DOWN) + + vector3 = Arrow(self.graph_origin, self.graph_origin+np.pi*YTD*DOWN + 4.725*XTD*RIGHT, buff=0, color = YELLOW_C, tip_length = 0.25) + vector3_lab = TextMobject(r"$r(\frac{3\pi}{2})$", color = YELLOW_C).scale(0.7).move_to(self.graph_origin+2.5*XTD*RIGHT+ 1*YTD*DOWN) + + self.play(GrowArrow(vector3),Write(vector3_lab)) + self.play(ShowCreation(point3), Write(point3_lab)) + self.play(ShowCreation(sine3)) + self.wait(1) + + + sine4 = self.get_graph(lambda x : np.pi*np.sin(x), x_min = 4.725, x_max = 6.3, color = GREEN_C) + + point4 = Dot().shift(self.graph_origin+6.3*XTD*RIGHT) + point4_lab = TextMobject(r"$t = (2\pi)$", color = GREY).scale(0.6).next_to(point4, 0.5*UP+0.5*RIGHT) + + vector4 = Arrow(self.graph_origin, self.graph_origin+6.3*XTD*RIGHT, buff=0, color = PURPLE, tip_length = 0.25) + vector4_lab = TextMobject(r"$r(2\pi)$", color = PURPLE).scale(0.7).move_to(self.graph_origin+4.5*XTD*RIGHT+ 0.4*YTD*DOWN) + + self.play(GrowArrow(vector4),Write(vector4_lab)) + self.play(ShowCreation(point4), Write(point4_lab)) + self.play(ShowCreation(sine4)) + self.wait(3) + + self.play(FadeOut(sine1), FadeOut(point1), FadeOut(point1_lab), FadeOut(vector1), FadeOut(vector1_lab), + FadeOut(sine2), FadeOut(point2), FadeOut(point2_lab), FadeOut(vector2), FadeOut(vector2_lab), + FadeOut(sine3), FadeOut(point3), FadeOut(point3_lab), FadeOut(vector3), FadeOut(vector3_lab), + FadeOut(sine4), FadeOut(point4), FadeOut(point4_lab), FadeOut(vector4), FadeOut(vector4_lab)) + + + + def get_vector(self, proportion, curve): + vector = Arrow(np.array([-4,0,0]), curve.point_from_proportion(proportion), color = ORANGE, buff=0, tip_length = 0.25) + return vector + -- cgit