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https://github.com/3b1b/manim.git
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putting things together in the intro scene
This commit is contained in:
Ben Hambrecht
parent
75c0ed84c8
commit
426f59b9f9
1 changed files with 69 additions and 80 deletions
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@ -378,36 +378,6 @@ class CoinFlipTree(VGroup):
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class TestScene(Scene):
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def construct(self):
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#seq = CoinSequence(["H", "T", "T", "H"]).move_to(2 * LEFT)
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#self.add(seq)
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#stack = TallyStack(4,7, coin_thickness = COIN_THICKNESS)
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#self.add(stack)
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tree = CoinFlipTree(nb_levels = 7, sort_until_level = 0)
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tree.move_to(ORIGIN)
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self.add(tree)
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for i in range(1, 8):
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new_tree = CoinFlipTree(nb_levels = 7, sort_until_level = i)
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new_tree.move_to(ORIGIN)
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self.play(Transform(tree, new_tree))
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self.wait()
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self.wait()
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class CoinFlipBranchToAreaScene(Scene):
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def construct(self):
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pass
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class Chapter1OpeningQuote(OpeningQuote):
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CONFIG = {
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@ -441,6 +411,7 @@ class Introduction(TeacherStudentsScene):
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def construct(self):
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self.show_series()
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self.show_area_model1()
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def show_series(self):
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series = VideoSeries()
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@ -491,28 +462,28 @@ class Introduction(TeacherStudentsScene):
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Animation(self.teacher.bubble.content),
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])
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essence_words = words.get_part_by_tex("Essence").copy()
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self.play(
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FadeOut(self.teacher.bubble),
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FadeOut(self.teacher.bubble.content),
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essence_words.next_to, series, DOWN,
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*[
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ApplyMethod(pi.change_mode, "pondering")
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for pi in self.get_pi_creatures()
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]
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)
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self.wait(3)
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self.wait()
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self.series = series
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self.essence_words = essence_words
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class IllustrateAreaModel1(Scene):
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# # # # # # # # # # # # # # # # # #
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# show examples of the area model #
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# # # # # # # # # # # # # # # # # #
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def construct(self):
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def show_area_model1(self):
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# show independent events
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sample_space_width = sample_space_height = 3.0
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sample_space_width = sample_space_height = 2.5
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p_of_A = 0.7
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p_of_not_A = 1 - p_of_A
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p_of_B = 0.8
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@ -525,7 +496,8 @@ class IllustrateAreaModel1(Scene):
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stroke_width = 0,
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fill_color = BLUE,
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fill_opacity = 1.0
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)
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).move_to(2 * RIGHT + 1.5 * UP)
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rect_not_A = Rectangle(
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width = p_of_not_A * sample_space_width,
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height = 1 * sample_space_height,
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@ -539,18 +511,13 @@ class IllustrateAreaModel1(Scene):
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brace_not_A = Brace(rect_not_A, DOWN)
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label_not_A = TexMobject("P(\\text{not }A)").next_to(brace_not_A, DOWN).scale(0.7)
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self.play(
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LaggedStart(FadeIn, VGroup(rect_A, rect_not_A), lag_factor = 0.5)
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)
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self.play(
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ShowCreation(brace_A),
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Write(label_A),
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)
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# self.play(
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# ShowCreation(brace_not_A),
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# Write(label_not_A),
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# LaggedStart(FadeIn, VGroup(rect_A, rect_not_A), lag_factor = 0.5)
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# )
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# self.play(
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# ShowCreation(brace_A),
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# Write(label_A),
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# )
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@ -576,16 +543,12 @@ class IllustrateAreaModel1(Scene):
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brace_not_B = Brace(rect_not_B, LEFT)
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label_not_B = TexMobject("P(\\text{not }B)").next_to(brace_not_B, LEFT).scale(0.7)
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self.play(
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LaggedStart(FadeIn, VGroup(rect_B, rect_not_B), lag_factor = 0.5)
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)
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self.play(
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ShowCreation(brace_B),
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Write(label_B),
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)
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# self.play(
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# ShowCreation(brace_not_B),
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# Write(label_not_B),
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# LaggedStart(FadeIn, VGroup(rect_B, rect_not_B), lag_factor = 0.5)
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# )
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# self.play(
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# ShowCreation(brace_B),
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# Write(label_B),
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# )
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rect_A_and_B = Rectangle(
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@ -597,11 +560,9 @@ class IllustrateAreaModel1(Scene):
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label_A_and_B = TexMobject("P(A\\text{ and }B)").scale(0.7)
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label_A_and_B.move_to(rect_A_and_B)
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self.play(
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ShowCreation(rect_A_and_B)
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)
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self.play(FadeIn(label_A_and_B))
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self.add_foreground_mobject(label_A_and_B)
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# self.play(
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# ShowCreation(rect_A_and_B)
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# )
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indep_formula = TexMobject("P(A\\text{ and }B)", "=", "P(A)", "\cdot", "P(B)")
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indep_formula = indep_formula.scale(0.7).next_to(rect_not_B, UP, buff = MED_LARGE_BUFF)
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@ -609,16 +570,19 @@ class IllustrateAreaModel1(Scene):
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label_A_and_B_copy = label_A_and_B.copy()
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label_A_copy = label_A.copy()
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label_B_copy = label_B.copy()
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self.add(label_A_and_B_copy, label_A_copy, label_B_copy)
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# self.add(label_A_and_B_copy, label_A_copy, label_B_copy)
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self.play(Transform(label_A_and_B_copy, indep_formula[0]))
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self.play(FadeIn(indep_formula[1]))
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self.play(Transform(label_A_copy, indep_formula[2]))
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self.play(FadeIn(indep_formula[3]))
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self.play(Transform(label_B_copy, indep_formula[4]))
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# self.play(Transform(label_A_and_B_copy, indep_formula[0]))
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# self.play(FadeIn(indep_formula[1]))
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# self.play(Transform(label_A_copy, indep_formula[2]))
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# self.play(FadeIn(indep_formula[3]))
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# self.play(Transform(label_B_copy, indep_formula[4]))
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self.wait()
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#self.wait()
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label_A_and_B_copy = indep_formula[0]
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label_A_copy = indep_formula[2]
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label_B_copy = indep_formula[4]
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# show conditional prob
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@ -647,11 +611,22 @@ class IllustrateAreaModel1(Scene):
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fill_opacity = 0.5
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).next_to(rect_not_A_and_B, UP, buff = 0)
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self.remove(rect_B, rect_not_B)
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self.add(rect_A_and_not_B, rect_not_A_and_B, rect_not_A_and_not_B)
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indep_formula.next_to(rect_not_A, LEFT, buff = 4)
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indep_formula.shift(UP)
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self.play(Write(indep_formula))
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self.play(
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FadeIn(VGroup(
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rect_A, rect_not_A, brace_A, label_A, brace_B, label_B,
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rect_A_and_not_B, rect_not_A_and_B, rect_not_A_and_not_B,
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rect_A_and_B,
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label_A_and_B,
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))
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)
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self.wait()
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p_of_B_knowing_A = 0.6
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@ -684,7 +659,7 @@ class IllustrateAreaModel1(Scene):
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)
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label_B_knowing_A = label_B
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self.play(FadeOut(label_B_copy))
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#self.play(FadeOut(label_B_copy))
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self.remove(indep_formula.get_part_by_tex("P(B)"))
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label_B_knowing_A_copy = label_B_knowing_A.copy()
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self.add(label_B_knowing_A_copy)
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@ -700,6 +675,7 @@ class IllustrateAreaModel1(Scene):
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self.wait()
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self.play(
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# in some places get_part_by_tex does not find the correct part
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# so I picked out fitting indices
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@ -707,7 +683,17 @@ class IllustrateAreaModel1(Scene):
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label_A_copy.move_to, rearranged_formula[-1][10],
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label_A_and_B_copy.move_to, rearranged_formula[-1][3],
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indep_formula.get_part_by_tex("=").move_to, rearranged_formula.get_part_by_tex("="),
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Transform(indep_formula.get_part_by_tex("\cdot"), rearranged_formula[-1][8]),
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Transform(indep_formula.get_part_by_tex("\cdot"), rearranged_formula[2][6]),
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)
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self.play(
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FadeOut(VGroup(
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indep_formula, rect_A, rect_B, rect_not_A, rect_not_B,
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rect_A_and_B, rect_A_and_not_B, rect_not_A_and_B, rect_not_A_and_not_B,
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brace_A, brace_B, label_A, label_B_knowing_A, label_A_and_B,
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label_B_knowing_A_copy
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))
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)
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@ -792,8 +778,8 @@ class IllustrateAreaModel1(Scene):
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class IllustrateAreaModel2(GraphScene):
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CONFIG = {
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"x_min" : -5,
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"x_max" : 5,
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"x_min" : -3.5,
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"x_max" : 3.5,
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"y_min" : -0,
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"y_max" : 0.6,
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"graph_origin": 3*DOWN,
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@ -801,7 +787,10 @@ class IllustrateAreaModel2(GraphScene):
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"y_axis_label" : "",
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"x_axis_label" : "",
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"variable_point_label" : "x",
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"y_axis_height" : 4
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"y_axis_height" : 4,
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"graph_origin": 2.5 * DOWN + 3 * LEFT,
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"x_axis_width": 5,
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"y_axis_height": 3
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}
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def construct(self):
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@ -809,7 +798,7 @@ class IllustrateAreaModel2(GraphScene):
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x_max_1 = 0
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x_min_1 = -x_max_1
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x_max_2 = 5
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x_max_2 = 3.5
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x_min_2 = -x_max_2
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@ -818,10 +807,10 @@ class IllustrateAreaModel2(GraphScene):
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self.add(graph)
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cdf_formula = TexMobject("P(|X-\mu| < x) = \int_{-x}^x {\exp(-{1\over 2}({t\over \sigma})^2) \over \sigma\sqrt{2\pi}} dt")
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cdf_formula.set_color_by_tex("x", YELLOW)
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cdf_formula.next_to(graph, LEFT, buff = 1)
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cdf_formula.next_to(graph, RIGHT, buff = -1)
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self.add(cdf_formula)
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