From acfcd90d303bb7f1e4cebcc4029c8382e4f89843 Mon Sep 17 00:00:00 2001 From: nishanpoojary Date: Fri, 3 Jul 2020 19:55:33 +0530 Subject: Add files via upload --- .../file1_multivar_func_examples.py | 148 +++++++++++++++++++++ 1 file changed, 148 insertions(+) create mode 100644 FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file1_multivar_func_examples.py (limited to 'FSF-2020') diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file1_multivar_func_examples.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file1_multivar_func_examples.py new file mode 100644 index 0000000..c15cdfb --- /dev/null +++ b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file1_multivar_func_examples.py @@ -0,0 +1,148 @@ +from manimlib.imports import * + +class Examples1(GraphScene): + def construct(self): + + rectangle = Rectangle(height = 3, width = 4, color = GREEN) + rectangle_area_func = TexMobject("Area", "=", "f(", "Length", ",", "Breadth", ")").scale(0.6) + rectangle_area_func[0].set_color(RED_C) + rectangle_area_func[2].set_color(ORANGE) + rectangle_area_func[3].set_color(YELLOW_C) + rectangle_area_func[5].set_color(BLUE_C) + rectangle_area_func[6].set_color(ORANGE) + + + rectangle_area = TexMobject("Area", "=", "Length", "\\times", "Breadth").scale(0.6) + rectangle_area[0].set_color(RED_C) + rectangle_area[2].set_color(YELLOW_C) + rectangle_area[4].set_color(BLUE_C) + + + triangle = Polygon(np.array([-3,-1.5,0]), np.array([2,-1.5,0]), np.array([2,1.5,0]), np.array([-3,-1.5,0]), color = PURPLE) + + triangle_area_func = TexMobject("Area", "=", "f(", "Base", ",", "Height", ")").scale(0.6).move_to(1*DOWN) + triangle_area_func[0].set_color(RED_C) + triangle_area_func[2].set_color(ORANGE) + triangle_area_func[3].set_color(YELLOW_C) + triangle_area_func[5].set_color(BLUE_C) + triangle_area_func[6].set_color(ORANGE) + + triangle_area = TexMobject("Area", "=", "\\frac{1}{2}", "\\times", "Base", "\\times", "Height").scale(0.6).move_to(1*DOWN) + triangle_area[0].set_color(RED_C) + triangle_area[2].set_color(GREEN_C) + triangle_area[4].set_color(YELLOW_C) + triangle_area[6].set_color(BLUE_C) + + + + braces_rect1 = Brace(rectangle, LEFT) + eq_text1 = braces_rect1.get_text("Length").set_color(YELLOW_C) + braces_rect2 = Brace(rectangle, UP) + eq_text2 = braces_rect2.get_text("Breadth").set_color(BLUE_C) + + + braces_triangle_height = Brace(triangle, RIGHT) + braces_triangle_height_text = braces_triangle_height.get_text("Height").set_color(BLUE_C) + + braces_triangle_base = Brace(triangle, DOWN) + braces_triangle_base_text = braces_triangle_base.get_text("Base").set_color(YELLOW_C) + + + self.play(ShowCreation(rectangle)) + self.wait(1) + self.play(GrowFromCenter(braces_rect1),Write(eq_text1),GrowFromCenter(braces_rect2),Write(eq_text2)) + self.wait(1) + self.play(Write(rectangle_area_func)) + self.wait(1) + self.play(Transform(rectangle_area_func, rectangle_area)) + self.wait(1) + self.play(FadeOut(braces_rect1),FadeOut(eq_text1),FadeOut(braces_rect2),FadeOut(eq_text2),FadeOut(rectangle_area_func)) + + + self.play(Transform(rectangle, triangle)) + self.wait(1) + self.play(GrowFromCenter(braces_triangle_height),Write(braces_triangle_height_text)) + self.wait(1) + self.play(GrowFromCenter(braces_triangle_base),Write(braces_triangle_base_text)) + self.wait(1) + self.play(Write(triangle_area_func)) + self.wait(1) + self.play(Transform(triangle_area_func, triangle_area)) + self.wait(1) + self.play(FadeOut(braces_triangle_height),FadeOut(braces_triangle_height_text),FadeOut(braces_triangle_base),FadeOut(braces_triangle_base_text),FadeOut(triangle_area_func)) + self.wait(1) + + + + +class Examples2(ThreeDScene): + def construct(self): + axes = ThreeDAxes() + + rectangle_x_y_0 = Polygon(np.array([-1,-2,0]),np.array([-1,2,0]),np.array([1,2,0]),np.array([1,-2,0]),np.array([-1,-2,0]), color = RED_E, fill_color = RED_C, fill_opacity = 0.1) + rectangle_x_y_3 = Polygon(np.array([-1,-2,3]),np.array([-1,2,3]),np.array([1,2,3]),np.array([1,-2,3]),np.array([-1,-2,3]), color = RED_E, fill_color = RED_C, fill_opacity = 0.1) + + rectangle_y_z_1 = Polygon(np.array([1,-2,3]),np.array([1,2,3]),np.array([1,2,0]),np.array([1,-2,0]),np.array([1,-2,3]), color = RED_E, fill_color = RED_C, fill_opacity = 0.1) + rectangle_y_z_minus_1 = Polygon(np.array([-1,-2,3]),np.array([-1,2,3]),np.array([-1,2,0]),np.array([-1,-2,0]),np.array([-1,-2,3]), color = RED_E, fill_color = RED_C, fill_opacity = 0.1) + + rectangle_x_z_2 = Polygon(np.array([1,2,3]),np.array([-1,2,3]),np.array([-1,2,0]),np.array([1,2,0]),np.array([1,2,3]), color = RED_E, fill_color = RED_C, fill_opacity = 0.1) + rectangle_x_z_minus_2 = Polygon(np.array([1,-2,3]),np.array([-1,-2,3]),np.array([-1,-2,0]),np.array([1,-2,0]),np.array([1,-2,3]), color = RED_E, fill_color = RED_C, fill_opacity = 0.1) + + box = VGroup(rectangle_x_y_0, rectangle_x_y_3, rectangle_y_z_1, rectangle_y_z_minus_1, rectangle_x_z_2, rectangle_x_z_minus_2) + + braces_rectangle_x_y_0 = Line(np.array([1,2,0]), np.array([1,-2,0]), color = BLUE_C) + braces_rectangle_x_y_0_text = TextMobject("Length").set_color(BLUE_C).move_to(np.array([2,-1,0])) + + braces_rectangle_y_z_1 = Line(np.array([1,2,0]), np.array([1,2,3]), color = YELLOW_C) + braces_rectangle_y_z_1_text = TextMobject("Height").set_color(YELLOW_C).move_to(np.array([2,3.8,2])) + + braces_rectangle_x_z_2 = Line(np.array([1,2,3]), np.array([-1,2,3]), color = PURPLE) + braces_rectangle_x_z_2_text = TextMobject("Breadth").set_color(PURPLE).move_to(np.array([0,3.8,3.3])) + + box_area_func = TexMobject("Area =", "f(", "Length", ",", "Breadth", ",", "Height", ")").move_to(4*LEFT+3.5*UP).scale(0.6) + box_area_func[0].set_color(GREEN_C) + box_area_func[1].set_color(ORANGE) + box_area_func[2].set_color(BLUE_C) + box_area_func[4].set_color(PURPLE) + box_area_func[6].set_color(YELLOW_C) + box_area_func[7].set_color(ORANGE) + + box_area_func_2 = TexMobject("Area =", "Length", "\\times", "Breadth", "\\times", "Height").move_to(4*LEFT+3.5*UP).scale(0.6) + box_area_func_2[0].set_color(GREEN_C) + box_area_func_2[1].set_color(BLUE_C) + box_area_func_2[3].set_color(PURPLE) + box_area_func_2[5].set_color(YELLOW_C) + + + self.set_camera_orientation(phi=70 * DEGREES, theta = 45*DEGREES) + + self.add(axes) + + axis = TextMobject(r"X",r"Y",r"Z") + axis[0].move_to(6*RIGHT) + axis[1].move_to(6*UP) + axis[2].move_to(3.7*UP) + + self.add_fixed_in_frame_mobjects(axis[2]) + self.add_fixed_orientation_mobjects(axis[0]) + self.add_fixed_orientation_mobjects(axis[1]) + + self.play(ShowCreation(box), ShowCreation(braces_rectangle_x_y_0)) + self.add_fixed_orientation_mobjects(braces_rectangle_x_y_0_text) + self.play(ShowCreation(braces_rectangle_y_z_1)) + self.add_fixed_orientation_mobjects(braces_rectangle_y_z_1_text) + self.play(ShowCreation(braces_rectangle_x_z_2)) + self.add_fixed_orientation_mobjects(braces_rectangle_x_z_2_text) + self.wait(2) + + self.move_camera(phi=60* DEGREES,theta=80*DEGREES) + self.add_fixed_in_frame_mobjects(box_area_func) + self.play(Write(box_area_func)) + self.wait() + + + self.play(ReplacementTransform(box_area_func,box_area_func_2)) + self.add_fixed_in_frame_mobjects(box_area_func_2) + + + self.wait(3) \ No newline at end of file -- cgit