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synced 2025-08-05 16:49:03 +00:00
Some simple eoc cleanup
This commit is contained in:
Grant Sanderson
parent
6f729fe063
commit
ad25f65327
5 changed files with 217 additions and 14 deletions
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@ -2754,6 +2754,7 @@ class EndScreen(PiCreatureScene):
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}
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def construct(self):
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words = TextMobject("Clicky stuffs")
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words.scale(1.5)
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words.next_to(self.pi_creature, UP)
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words.to_edge(UP)
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197
eoc/chapter10.py
197
eoc/chapter10.py
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@ -197,6 +197,11 @@ class Pendulum(ReconfigurableScene):
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"radius" : 4,
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"weight_radius" : 0.2,
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"angle" : np.pi/6,
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"approx_tex" : [
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"\\approx 1 - ", "{\\theta", "^2", "\\over", "2}"
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],
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"leave_original_cosine" : False,
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"perform_substitution" : True,
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}
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def construct(self):
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self.draw_pendulum()
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@ -206,7 +211,6 @@ class Pendulum(ReconfigurableScene):
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self.substitute_approximation()
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self.show_confusion()
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def draw_pendulum(self):
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pendulum = self.get_pendulum()
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ceiling = self.get_ceiling()
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@ -295,6 +299,10 @@ class Pendulum(ReconfigurableScene):
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cosine.generate_target()
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cosine.save_state()
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cosine.target.next_to(morty, UP)
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if self.leave_original_cosine:
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cosine_copy = cosine.copy()
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self.add(cosine_copy)
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self.one_minus.add(cosine_copy)
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self.play(FadeIn(morty))
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self.play(
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@ -330,6 +338,8 @@ class Pendulum(ReconfigurableScene):
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morty.change, "pondering", cosine_approx
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)
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self.dither()
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if not self.perform_substitution:
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return
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self.play(
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ApplyMethod(
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cosine_approx.theta_squared_over_two.copy().next_to,
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@ -466,11 +476,9 @@ class Pendulum(ReconfigurableScene):
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return arc, theta
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def get_cosine_approx(self):
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approx = TexMobject(
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"\\approx 1 - ", "{\\theta", "^2", "\\over", "2}"
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)
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approx = TexMobject(*self.approx_tex)
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approx.highlight_by_tex("theta", YELLOW)
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approx.theta_squared_over_two = VGroup(*approx[-4:])
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approx.theta_squared_over_two = VGroup(*approx[1:5])
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return approx
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@ -484,6 +492,18 @@ class Pendulum(ReconfigurableScene):
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def swing_rate_func(self, t):
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return (1-np.cos(np.pi*t))/2.0
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class PendulumWithBetterApprox(Pendulum):
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CONFIG = {
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"approx_tex" : [
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"\\approx 1 - ", "{\\theta", "^2", "\\over", "2}",
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"+", "{\\theta", "^4", "\\over", "24}"
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],
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"leave_original_cosine" : True,
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"perform_substitution" : False,
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}
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def show_confusion(self):
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pass
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class ExampleApproximationWithCos(ExampleApproximationWithSine):
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CONFIG = {
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"function" : np.cos,
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@ -1852,9 +1872,56 @@ class HigherTermsDontMessUpLowerTerms(Scene):
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self.play(Write(equals_zero))
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self.dither(3)
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class EachTermControlsOneDerivative(Scene):
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def construct(self):
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colors = CubicAndQuarticApproximations.CONFIG["colors"]
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polynomial = TexMobject(
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"P(x) = ", "c_0", "+", "c_1", "x", *it.chain(*[
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["+", "c_%d"%n, "x^%d"%n]
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for n in range(2, 5)
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])
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)
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consts = polynomial.get_parts_by_tex("c")
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deriv_words = VGroup(*[
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TextMobject("Controls \\\\ $%s(0)$"%tex)
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for tex in [
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"P",
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"\\frac{dP}{dx}",
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] + [
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"\\frac{d^%d P}{dx^%d}"%(n, n)
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for n in range(2, 5)
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]
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])
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deriv_words.arrange_submobjects(
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RIGHT,
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buff = LARGE_BUFF,
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aligned_edge = UP
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)
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deriv_words.scale_to_fit_width(2*SPACE_WIDTH - MED_LARGE_BUFF)
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deriv_words.to_edge(UP)
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for const, deriv, color in zip(consts, deriv_words, colors):
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for mob in const, deriv:
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mob.highlight(color)
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arrow = Arrow(
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const.get_top(),
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deriv.get_bottom(),
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# buff = SMALL_BUFF,
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color = color
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)
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deriv.arrow = arrow
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self.add(polynomial)
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for deriv in deriv_words:
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self.play(
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ShowCreation(deriv.arrow),
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FadeIn(deriv)
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)
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self.dither()
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class ApproximateNearNewPoint(CubicAndQuarticApproximations):
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CONFIG = {
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"target_approx_centers" : [-np.pi/2, np.pi/2, np.pi],
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"target_approx_centers" : [np.pi/2, np.pi],
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}
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def construct(self):
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self.setup_axes()
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@ -1962,6 +2029,14 @@ class ApproximateNearNewPoint(CubicAndQuarticApproximations):
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])
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return self.get_graph(func, color = GREEN)
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class OnAPhilosophicalLevel(TeacherStudentsScene):
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def construct(self):
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self.teacher_says(
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"And on a \\\\ philosophical level",
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run_time = 1
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)
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self.dither(3)
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class TranslationOfInformation(CubicAndQuarticApproximations):
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def construct(self):
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self.add_background()
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@ -1989,7 +2064,7 @@ class TranslationOfInformation(CubicAndQuarticApproximations):
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deriv_info.next_to(ORIGIN, LEFT, LARGE_BUFF)
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deriv_info.to_edge(UP)
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output_info = TextMobject(
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"Output \\\\ information \\\\ near that piont"
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"Output \\\\ information \\\\ near that point"
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)
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output_info.next_to(ORIGIN, RIGHT, LARGE_BUFF)
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output_info.to_edge(UP)
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@ -2419,6 +2494,18 @@ class TranslationOfInformation(CubicAndQuarticApproximations):
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return result
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class ThisIsAStandardFormula(TeacherStudentsScene):
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def construct(self):
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self.teacher_says(
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"You will see this \\\\ in your texts",
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run_time = 1
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)
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self.change_student_modes(
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*["sad"]*3,
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look_at_arg = SPACE_HEIGHT*UP
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)
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self.dither(2)
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class ExpPolynomial(TranslationOfInformation, ExampleApproximationWithExp):
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CONFIG = {
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"x_tick_frequency" : 1,
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@ -2569,12 +2656,23 @@ class ShowSecondTerm(TeacherStudentsScene):
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words = TextMobject("Geometric view")
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words.next_to(box, UP)
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self.play(Write(polynomial))
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self.teacher_says(
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"Now for \\\\ something fun!",
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target_mode = "hooray"
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)
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self.dither(2)
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self.play(
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RemovePiCreatureBubble(
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self.teacher,
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target_mode = "raise_right_hand"
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),
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Write(polynomial)
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)
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self.play(
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ShowCreation(box),
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FadeIn(words),
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self.teacher.change_mode, "raise_right_hand"
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)
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self.change_student_modes(*["pondering"]*3)
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self.dither(3)
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class SecondTermIntuition(AreaIsDerivative):
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@ -2899,6 +2997,20 @@ class SecondTermIntuition(AreaIsDerivative):
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self.play(FadeIn(VGroup(*analytic_taylor[5:])))
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self.dither(3)
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class EachTermHasMeaning(TeacherStudentsScene):
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def construct(self):
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self.get_pi_creatures().scale_in_place(0.8).shift(UP)
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self.teacher_says(
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"Each term \\\\ has meaning!",
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target_mode = "hooray",
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bubble_kwargs = {"height" : 3, "width" : 4}
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)
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self.change_student_modes(
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*["thinking"]*3,
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look_at_arg = 4*UP
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)
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self.dither(3)
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class AskAboutInfiniteSum(TeacherStudentsScene):
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def construct(self):
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self.ask_question()
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@ -3513,9 +3625,70 @@ class MoreToBeSaid(TeacherStudentsScene):
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self.play(ShowCreation(rect))
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self.dither(4)
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class Chapter10Thanks(PatreonThanks):
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CONFIG = {
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"specific_patrons" : [
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"Ali Yahya",
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"CrypticSwarm",
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"Kaustuv DeBiswas",
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"Kathryn Schmiedicke",
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"Karan Bhargava",
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"Ankit Agarwal",
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"Yu Jun",
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"Dave Nicponski",
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"Damion Kistler",
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"Juan Benet",
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"Othman Alikhan",
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"Markus Persson",
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"Joseph John Cox",
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"Dan Buchoff",
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"Derek Dai",
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"Luc Ritchie",
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"Ahmad Bamieh",
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"Mark Govea",
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"Zac Wentzell",
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"Robert Teed",
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"Jason Hise",
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"Meshal Alshammari",
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"Bernd Sing",
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"Nils Schneider",
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"James Thornton",
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"Mustafa Mahdi",
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"Jonathan Eppele",
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"Mathew Bramson",
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"Jerry Ling",
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"Vecht",
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"Shimin Kuang",
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"Rish Kundalia",
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"Achille Brighton",
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"Ripta Pasay",
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],
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}
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class Thumbnail(ExampleApproximationWithSine):
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CONFIG = {
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"graph_origin" : DOWN,
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"x_axis_label" : "",
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"y_axis_label" : "",
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"x_axis_width" : 14,
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"graph_stroke_width" : 8,
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}
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def construct(self):
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self.setup_axes()
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cos_graph = self.get_graph(np.cos)
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cos_graph.set_stroke(BLUE, self.graph_stroke_width)
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quad_graph = self.get_graph(taylor_approximation(np.cos, 2))
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quad_graph.set_stroke(GREEN, self.graph_stroke_width)
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quartic = self.get_graph(taylor_approximation(np.cos, 4))
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quartic.set_stroke(PINK, self.graph_stroke_width)
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self.add(cos_graph, quad_graph, quartic)
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title = TextMobject("Taylor Series")
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title.scale_to_fit_width(1.5*SPACE_WIDTH)
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title.add_background_rectangle()
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title.to_edge(UP)
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self.add(title)
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@ -2533,7 +2533,7 @@ class NextVideos(TeacherStudentsScene):
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self.dither(2)
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self.change_student_modes(*["thinking"]*3)
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self.dither(3)
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class Chapter2PatreonThanks(PatreonThanks):
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CONFIG = {
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"specific_patrons" : [
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@ -2788,6 +2788,34 @@ class Chapter3PatreonThanks(PatreonThanks):
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]
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}
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class Promotion(PiCreatureScene):
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CONFIG = {
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"seconds_to_blink" : 5,
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}
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def construct(self):
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url = TextMobject("https://brilliant.org/3b1b/")
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url.to_corner(UP+LEFT)
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rect = Rectangle(height = 9, width = 16)
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rect.scale_to_fit_height(5.5)
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rect.next_to(url, DOWN)
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rect.to_edge(LEFT)
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self.play(
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Write(url),
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self.pi_creature.change, "raise_right_hand"
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)
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self.play(ShowCreation(rect))
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self.dither(2)
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self.change_mode("thinking")
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self.dither()
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self.look_at(url)
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self.dither(10)
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self.change_mode("happy")
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self.dither(10)
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self.change_mode("raise_right_hand")
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self.dither(10)
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class Thumbnail(NudgeSideLengthOfCube):
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def construct(self):
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self.introduce_cube()
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@ -2270,7 +2270,8 @@ class Chapter4Thanks(PatreonThanks):
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"Kirk Werklund",
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"Ripta Pasay",
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"Felipe Diniz",
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]
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],
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"patron_group_size" : 8,
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}
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class Thumbnail(IntroduceProductAsArea):
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