From 48f264dcde24c776f501f6e8f16d5da6aa47ba4d Mon Sep 17 00:00:00 2001 From: simranchhattani Date: Sat, 20 Jun 2020 21:34:58 +0530 Subject: Add files via upload --- .../Vector-Spaces/Subspaces/Subspace_Example.py | 86 ++++++++++++++++++++++ 1 file changed, 86 insertions(+) create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py (limited to 'FSF-2020') diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py new file mode 100644 index 0000000..d87cd89 --- /dev/null +++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py @@ -0,0 +1,86 @@ +from manimlib.imports import * +class Subspace_Example(Scene): + def construct(self): + sq = Square(side = 2, color=BLACK).shift(2*LEFT) + sq.set_fill(color=RED,opacity=350) + line1=Line(color=BLACK).shift(2*LEFT) + line1.rotate(np.pi/2) + line2=Line(color=BLACK).shift(2.5*LEFT+0.5*UP) + line2.scale(0.5) + line3=Line(color=BLACK).shift(+1.5*LEFT) + line3.scale(0.5) + a1=TextMobject(r"$a_1$",color=BLACK).scale(0.5).shift(3.4*LEFT+0.7*UP) + a2=TextMobject(r"$a_2$",color=BLACK).scale(0.5).shift(3.4*LEFT+0.3*DOWN) + a3=TextMobject(r"$a_3$",color=BLACK).scale(0.5).shift(0.7*LEFT+0.5*DOWN) + a4=TextMobject(r"$a_4$",color=BLACK).scale(0.5).shift(0.7*LEFT+0.5*UP) + big_rect1 = Rectangle().scale(3.3).shift(0.3*DOWN) + big_rect1.set_fill(color=GOLD,opacity=350) + + + big_rect2=Rectangle().scale(2.7).shift(0.5*DOWN) + big_rect2.set_fill(color=GREY,opacity=350) + vec_space=TextMobject("$Vector Space$",color=BLACK).scale(0.73).shift(4.65*RIGHT+2.6*UP) + sub=TextMobject(r"$Subspace$",color=BLACK).scale(0.73).shift(3.8*RIGHT+1.7*UP) + self.play(ShowCreation(big_rect1),ShowCreation(vec_space)) + self.play(ShowCreation(big_rect2),ShowCreation(sub)) + self.play(ShowCreation(sq),ShowCreation(line1),ShowCreation(line2),ShowCreation(line3),ShowCreation(a1),ShowCreation(a2),ShowCreation(a3),ShowCreation(a4)) + rec = Rectangle(color=BLACK).scale(0.5).shift(1*RIGHT) + rec.rotate(np.pi/2) + rec.set_fill(color=BLUE,opacity=350) + line4=Line(color=BLACK).shift(1*RIGHT).rotate(np.pi/2) + line5=Line(color=BLACK).scale(0.25).shift(0.75*RIGHT) + line6=Line(color=BLACK).scale(0.25).shift(0.5*DOWN+1.25*RIGHT) + b1=TextMobject(r"$b_1$",color=BLACK).scale(0.5).shift(0.3*RIGHT+0.5*UP) + b2=TextMobject(r"$b_2$",color=BLACK).scale(0.5).shift(0.3*RIGHT+0.5*DOWN) + b3=TextMobject(r"$b_3$",color=BLACK).scale(0.5).shift(1.67*RIGHT+0.8*DOWN) + b4=TextMobject(r"$b_4$",color=BLACK).scale(0.5).shift(1.67*RIGHT+0.5*UP) + self.play(ShowCreation(rec),ShowCreation(line4),ShowCreation(line5),ShowCreation(line6),ShowCreation(b1),ShowCreation(b2),ShowCreation(b3),ShowCreation(b4)) + self.wait(1) + text1=TextMobject(r"$a_1 + a_2 = a_3 + a_4$",color=BLACK).scale(0.5).shift(2*LEFT+1.5*DOWN) + text2=TextMobject(r"$b_1 + b_2 = b_3 + b_4$",color=BLACK).scale(0.5).shift(1.5*RIGHT+1.5*DOWN) + self.play(ShowCreation(text1),ShowCreation(text2)) + self.wait(3) + self.play(FadeOut(text1),FadeOut(text2)) + rec.shift(3*LEFT+2.01*DOWN) + line4.shift(3*LEFT+2*DOWN) + line5.shift(3*LEFT+2*DOWN) + line6.shift(3*LEFT+2*DOWN) + b1.shift(3.1*LEFT+2.1*DOWN) + b2.shift(3.1*LEFT+2.1*DOWN) + b3.shift(2.9*LEFT+2*DOWN) + b4.shift(2.9*LEFT+2.3*DOWN) + self.play(ShowCreation(rec),ShowCreation(line4),ShowCreation(line5),ShowCreation(line6),ShowCreation(b1),ShowCreation(b2),ShowCreation(b3),ShowCreation(b4)) + self.wait(2) + + text3=TextMobject(r"$(a_1 + a_2) + (b_1 + b_2) = (a_3 + a_4) + (b_3 + b_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT+0.5*DOWN) + text3=TextMobject(r"$(a_1 + a_2) + (b_1 + b_2) = (a_3 + a_4) + (b_3 + b_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT+0.5*DOWN) + text4=TextMobject("Vector Addition",color=BLACK).scale(0.8).shift(2.5*RIGHT+0.5*UP) + self.play(ShowCreation(text3),ShowCreation(text4)) + self.wait(3) + rec.set_fill(color=GREY,opacity=350) + self.play(FadeOut(text3),FadeOut(text4),FadeOut(line4),FadeOut(line5),FadeOut(line6),FadeOut(rec),FadeOut(b4),FadeOut(b3),FadeOut(b2),FadeOut(b1)) + sq1=Square(color=BLACK).scale(0.5).shift(1.5*LEFT+1.5*UP) + sq1.set_fill(color=RED,opacity=350) + sq2=Square(color=BLACK).scale(0.5).shift(1.5*LEFT+1.5*DOWN) + sq2.set_fill(color=RED,opacity=350) + rec1=Rectangle(height=0.5,width=1,color=BLACK).shift(2.5*LEFT+1.2*UP) + rec1.set_fill(color=RED,opacity=350) + rec2=Rectangle(height=1.5,width=1,color=BLACK) + rec2.set_fill(color=RED,opacity=350).shift(2.5*LEFT+1.5*DOWN) + self.play(ShowCreation(sq1),ShowCreation(sq2),ShowCreation(rec1),ShowCreation(rec2)) + a=TextMobject(r"$a_1$",color=BLACK).scale(0.5).shift(3.4*LEFT+1.2*UP) + b=TextMobject(r"$a_2$",color=BLACK).scale(0.5).shift(3.4*LEFT+1.4*DOWN) + c=TextMobject(r"$a_3$",color=BLACK).scale(0.5).shift(0.7*LEFT+1.4*DOWN) + d=TextMobject(r"$a_4$",color=BLACK).scale(0.5).shift(0.7*LEFT+1.4*UP) + self.play(ShowCreation(a),ShowCreation(b),ShowCreation(c),ShowCreation(d)) + self.wait(2.3) + text4=TextMobject("Scalar Multiplication",color=BLACK).scale(0.8).shift(2.5*RIGHT+0.5*UP) + text5=TextMobject(r"$\implies 2(a_1 + a_2) = 2(a_3 + a_4)$",color=BLACK).scale(0.5).shift(2*RIGHT+0.5*DOWN) + text6=TextMobject(r"$(a_1 + a_1) + (a_2 + a_2) = (a_3 + a_3) + (a_4 +a_4)$",color=BLACK).scale(0.5).shift(2.5*RIGHT) + self.play(ShowCreation(text4),ShowCreation(text5),ShowCreation(text6)) + self.wait(3) + + + + + -- cgit