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putting things together in the intro scene

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Ben Hambrecht 2018-04-13 18:24:48 +02:00
parent 75c0ed84c8
commit 426f59b9f9
1 changed files with 69 additions and 80 deletions
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149
active_projects/eop/chapter1.py
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@ -378,36 +378,6 @@ class CoinFlipTree(VGroup):
class TestScene(Scene):
def construct(self):
#seq = CoinSequence(["H", "T", "T", "H"]).move_to(2 * LEFT)
#self.add(seq)
#stack = TallyStack(4,7, coin_thickness = COIN_THICKNESS)
#self.add(stack)
tree = CoinFlipTree(nb_levels = 7, sort_until_level = 0)
tree.move_to(ORIGIN)
self.add(tree)
for i in range(1, 8):
new_tree = CoinFlipTree(nb_levels = 7, sort_until_level = i)
new_tree.move_to(ORIGIN)
self.play(Transform(tree, new_tree))
self.wait()
self.wait()
class CoinFlipBranchToAreaScene(Scene):
def construct(self):
pass
class Chapter1OpeningQuote(OpeningQuote): class Chapter1OpeningQuote(OpeningQuote):
CONFIG = { CONFIG = {
@ -441,6 +411,7 @@ class Introduction(TeacherStudentsScene):
def construct(self): def construct(self):
self.show_series() self.show_series()
self.show_area_model1()
def show_series(self): def show_series(self):
series = VideoSeries() series = VideoSeries()
@ -491,28 +462,28 @@ class Introduction(TeacherStudentsScene):
Animation(self.teacher.bubble.content), Animation(self.teacher.bubble.content),
]) ])
essence_words = words.get_part_by_tex("Essence").copy()
self.play( self.play(
FadeOut(self.teacher.bubble), FadeOut(self.teacher.bubble),
FadeOut(self.teacher.bubble.content), FadeOut(self.teacher.bubble.content),
essence_words.next_to, series, DOWN,
*[ *[
ApplyMethod(pi.change_mode, "pondering") ApplyMethod(pi.change_mode, "pondering")
for pi in self.get_pi_creatures() for pi in self.get_pi_creatures()
] ]
) )
self.wait(3) self.wait()
self.series = series self.series = series
self.essence_words = essence_words
class IllustrateAreaModel1(Scene): # # # # # # # # # # # # # # # # # #
# show examples of the area model #
def construct(self): # # # # # # # # # # # # # # # # # #
def show_area_model1(self):
# show independent events # show independent events
sample_space_width = sample_space_height = 3.0 sample_space_width = sample_space_height = 2.5
p_of_A = 0.7 p_of_A = 0.7
p_of_not_A = 1 - p_of_A p_of_not_A = 1 - p_of_A
p_of_B = 0.8 p_of_B = 0.8
@ -525,7 +496,8 @@ class IllustrateAreaModel1(Scene):
stroke_width = 0, stroke_width = 0,
fill_color = BLUE, fill_color = BLUE,
fill_opacity = 1.0 fill_opacity = 1.0
) ).move_to(2 * RIGHT + 1.5 * UP)
rect_not_A = Rectangle( rect_not_A = Rectangle(
width = p_of_not_A * sample_space_width, width = p_of_not_A * sample_space_width,
height = 1 * sample_space_height, height = 1 * sample_space_height,
@ -539,18 +511,13 @@ class IllustrateAreaModel1(Scene):
brace_not_A = Brace(rect_not_A, DOWN) brace_not_A = Brace(rect_not_A, DOWN)
label_not_A = TexMobject("P(\\text{not }A)").next_to(brace_not_A, DOWN).scale(0.7) label_not_A = TexMobject("P(\\text{not }A)").next_to(brace_not_A, DOWN).scale(0.7)
self.play(
LaggedStart(FadeIn, VGroup(rect_A, rect_not_A), lag_factor = 0.5)
)
self.play(
ShowCreation(brace_A),
Write(label_A),
)
# self.play( # self.play(
# ShowCreation(brace_not_A), # LaggedStart(FadeIn, VGroup(rect_A, rect_not_A), lag_factor = 0.5)
# Write(label_not_A), # )
# self.play(
# ShowCreation(brace_A),
# Write(label_A),
# ) # )
@ -576,16 +543,12 @@ class IllustrateAreaModel1(Scene):
brace_not_B = Brace(rect_not_B, LEFT) brace_not_B = Brace(rect_not_B, LEFT)
label_not_B = TexMobject("P(\\text{not }B)").next_to(brace_not_B, LEFT).scale(0.7) label_not_B = TexMobject("P(\\text{not }B)").next_to(brace_not_B, LEFT).scale(0.7)
self.play(
LaggedStart(FadeIn, VGroup(rect_B, rect_not_B), lag_factor = 0.5)
)
self.play(
ShowCreation(brace_B),
Write(label_B),
)
# self.play( # self.play(
# ShowCreation(brace_not_B), # LaggedStart(FadeIn, VGroup(rect_B, rect_not_B), lag_factor = 0.5)
# Write(label_not_B), # )
# self.play(
# ShowCreation(brace_B),
# Write(label_B),
# ) # )
rect_A_and_B = Rectangle( rect_A_and_B = Rectangle(
@ -597,11 +560,9 @@ class IllustrateAreaModel1(Scene):
label_A_and_B = TexMobject("P(A\\text{ and }B)").scale(0.7) label_A_and_B = TexMobject("P(A\\text{ and }B)").scale(0.7)
label_A_and_B.move_to(rect_A_and_B) label_A_and_B.move_to(rect_A_and_B)
self.play( # self.play(
ShowCreation(rect_A_and_B) # ShowCreation(rect_A_and_B)
) # )
self.play(FadeIn(label_A_and_B))
self.add_foreground_mobject(label_A_and_B)
indep_formula = TexMobject("P(A\\text{ and }B)", "=", "P(A)", "\cdot", "P(B)") indep_formula = TexMobject("P(A\\text{ and }B)", "=", "P(A)", "\cdot", "P(B)")
indep_formula = indep_formula.scale(0.7).next_to(rect_not_B, UP, buff = MED_LARGE_BUFF) indep_formula = indep_formula.scale(0.7).next_to(rect_not_B, UP, buff = MED_LARGE_BUFF)
@ -609,16 +570,19 @@ class IllustrateAreaModel1(Scene):
label_A_and_B_copy = label_A_and_B.copy() label_A_and_B_copy = label_A_and_B.copy()
label_A_copy = label_A.copy() label_A_copy = label_A.copy()
label_B_copy = label_B.copy() label_B_copy = label_B.copy()
self.add(label_A_and_B_copy, label_A_copy, label_B_copy) # self.add(label_A_and_B_copy, label_A_copy, label_B_copy)
self.play(Transform(label_A_and_B_copy, indep_formula[0])) # self.play(Transform(label_A_and_B_copy, indep_formula[0]))
self.play(FadeIn(indep_formula[1])) # self.play(FadeIn(indep_formula[1]))
self.play(Transform(label_A_copy, indep_formula[2])) # self.play(Transform(label_A_copy, indep_formula[2]))
self.play(FadeIn(indep_formula[3])) # self.play(FadeIn(indep_formula[3]))
self.play(Transform(label_B_copy, indep_formula[4])) # self.play(Transform(label_B_copy, indep_formula[4]))
self.wait() #self.wait()
label_A_and_B_copy = indep_formula[0]
label_A_copy = indep_formula[2]
label_B_copy = indep_formula[4]
# show conditional prob # show conditional prob
@ -647,11 +611,22 @@ class IllustrateAreaModel1(Scene):
fill_opacity = 0.5 fill_opacity = 0.5
).next_to(rect_not_A_and_B, UP, buff = 0) ).next_to(rect_not_A_and_B, UP, buff = 0)
self.remove(rect_B, rect_not_B)
self.add(rect_A_and_not_B, rect_not_A_and_B, rect_not_A_and_not_B)
indep_formula.next_to(rect_not_A, LEFT, buff = 4)
indep_formula.shift(UP)
self.play(Write(indep_formula))
self.play(
FadeIn(VGroup(
rect_A, rect_not_A, brace_A, label_A, brace_B, label_B,
rect_A_and_not_B, rect_not_A_and_B, rect_not_A_and_not_B,
rect_A_and_B,
label_A_and_B,
))
)
self.wait()
p_of_B_knowing_A = 0.6 p_of_B_knowing_A = 0.6
@ -684,7 +659,7 @@ class IllustrateAreaModel1(Scene):
) )
label_B_knowing_A = label_B label_B_knowing_A = label_B
self.play(FadeOut(label_B_copy)) #self.play(FadeOut(label_B_copy))
self.remove(indep_formula.get_part_by_tex("P(B)")) self.remove(indep_formula.get_part_by_tex("P(B)"))
label_B_knowing_A_copy = label_B_knowing_A.copy() label_B_knowing_A_copy = label_B_knowing_A.copy()
self.add(label_B_knowing_A_copy) self.add(label_B_knowing_A_copy)
@ -700,6 +675,7 @@ class IllustrateAreaModel1(Scene):
self.wait() self.wait()
self.play( self.play(
# in some places get_part_by_tex does not find the correct part # in some places get_part_by_tex does not find the correct part
# so I picked out fitting indices # so I picked out fitting indices
@ -707,7 +683,17 @@ class IllustrateAreaModel1(Scene):
label_A_copy.move_to, rearranged_formula[-1][10], label_A_copy.move_to, rearranged_formula[-1][10],
label_A_and_B_copy.move_to, rearranged_formula[-1][3], label_A_and_B_copy.move_to, rearranged_formula[-1][3],
indep_formula.get_part_by_tex("=").move_to, rearranged_formula.get_part_by_tex("="), indep_formula.get_part_by_tex("=").move_to, rearranged_formula.get_part_by_tex("="),
Transform(indep_formula.get_part_by_tex("\cdot"), rearranged_formula[-1][8]), Transform(indep_formula.get_part_by_tex("\cdot"), rearranged_formula[2][6]),
)
self.play(
FadeOut(VGroup(
indep_formula, rect_A, rect_B, rect_not_A, rect_not_B,
rect_A_and_B, rect_A_and_not_B, rect_not_A_and_B, rect_not_A_and_not_B,
brace_A, brace_B, label_A, label_B_knowing_A, label_A_and_B,
label_B_knowing_A_copy
))
) )
@ -792,8 +778,8 @@ class IllustrateAreaModel1(Scene):
class IllustrateAreaModel2(GraphScene): class IllustrateAreaModel2(GraphScene):
CONFIG = { CONFIG = {
"x_min" : -5, "x_min" : -3.5,
"x_max" : 5, "x_max" : 3.5,
"y_min" : -0, "y_min" : -0,
"y_max" : 0.6, "y_max" : 0.6,
"graph_origin": 3*DOWN, "graph_origin": 3*DOWN,
@ -801,7 +787,10 @@ class IllustrateAreaModel2(GraphScene):
"y_axis_label" : "", "y_axis_label" : "",
"x_axis_label" : "", "x_axis_label" : "",
"variable_point_label" : "x", "variable_point_label" : "x",
"y_axis_height" : 4 "y_axis_height" : 4,
"graph_origin": 2.5 * DOWN + 3 * LEFT,
"x_axis_width": 5,
"y_axis_height": 3
} }
def construct(self): def construct(self):
@ -809,7 +798,7 @@ class IllustrateAreaModel2(GraphScene):
x_max_1 = 0 x_max_1 = 0
x_min_1 = -x_max_1 x_min_1 = -x_max_1
x_max_2 = 5 x_max_2 = 3.5
x_min_2 = -x_max_2 x_min_2 = -x_max_2
@ -818,10 +807,10 @@ class IllustrateAreaModel2(GraphScene):
self.add(graph) self.add(graph)
cdf_formula = TexMobject("P(|X-\mu| < x) = \int_{-x}^x {\exp(-{1\over 2}({t\over \sigma})^2) \over \sigma\sqrt{2\pi}} dt") cdf_formula = TexMobject("P(|X-\mu| < x) = \int_{-x}^x {\exp(-{1\over 2}({t\over \sigma})^2) \over \sigma\sqrt{2\pi}} dt")
cdf_formula.set_color_by_tex("x", YELLOW) cdf_formula.set_color_by_tex("x", YELLOW)
cdf_formula.next_to(graph, LEFT, buff = 1) cdf_formula.next_to(graph, RIGHT, buff = -1)
self.add(cdf_formula) self.add(cdf_formula)