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98 lines
2.7 KiB
Python
98 lines
2.7 KiB
Python
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from mobject.tex_mobject import TexMobject
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from mobject import Mobject
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from mobject.image_mobject import ImageMobject
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from mobject.vectorized_mobject import VMobject
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from animation.animation import Animation
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from animation.transform import *
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from animation.simple_animations import *
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from topics.geometry import *
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from topics.characters import *
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from topics.functions import *
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from topics.number_line import *
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from topics.numerals import *
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from scene import Scene
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from camera import Camera
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from mobject.svg_mobject import *
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from mobject.tex_mobject import *
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from mobject.vectorized_mobject import *
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from eola.matrix import *
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from eola.two_d_space import *
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from eola.chapter5 import get_det_text
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V_COLOR = RED
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U_COLOR = ORANGE
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W_COLOR = MAROON_B
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class OpeningQuote(Scene):
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def construct(self):
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words = TextMobject(
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"To ask the",
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"right question\\\\",
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"is harder than to answer it."
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)
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words.to_edge(UP)
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words[1].highlight(BLUE)
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author = TextMobject("-Georg Cantor")
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author.highlight(YELLOW)
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author.next_to(words, DOWN, buff = 0.5)
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self.play(FadeIn(words))
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self.dither(2)
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self.play(Write(author, run_time = 3))
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self.dither()
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class CrossAndDualWords(Scene):
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def construct(self):
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v_tex, u_tex, w_tex = [
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"\\vec{\\textbf{%s}}"%s
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for s in "vuw"
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]
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vector_word = TextMobject("Vector:")
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transform_word = TextMobject("Dual transform:")
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cross = TexMobject(
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v_tex, "=", u_tex, "\\times", w_tex
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)
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for tex, color in zip([v_tex, u_tex, w_tex], [V_COLOR, U_COLOR, W_COLOR]):
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cross.highlight_by_tex(tex, color)
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input_array_tex = matrix_to_tex_string(["x", "y", "z"])
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func = TexMobject("f\\left(%s\\right) = "%input_array_tex)
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matrix = Matrix(np.array([
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["x", "y", "z"],
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["u_1", "u_2", "u_3"],
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["w_1", "w_2", "w_3"],
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]).T)
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matrix.highlight_columns(WHITE, U_COLOR, W_COLOR)
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det_text = get_det_text(matrix)
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det_text.add(matrix)
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equals_dot = TexMobject(
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"= %s \\cdot"%input_array_tex, v_tex
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)
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equals_dot.highlight_by_tex(v_tex, V_COLOR)
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transform = Group(func, det_text)
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transform.arrange_submobjects()
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vector_word.next_to(transform_word, UP, buff = LARGE_BUFF, aligned_edge = LEFT)
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cross.next_to(vector_word, buff = MED_BUFF)
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transform.next_to(transform_word, buff = MED_BUFF)
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equals_dot.next_to(det_text, DOWN, aligned_edge = LEFT)
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self.add_mobjects_among(locals().values())
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self.show_frame()
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