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authorsimranchhattani2020-06-20 21:34:58 +0530
committerGitHub2020-06-20 21:34:58 +0530
commit48f264dcde24c776f501f6e8f16d5da6aa47ba4d (patch)
treee7d67976a7c8e3444289c8254cd40c3ad6db2ad0 /FSF-2020
parent7cad73c8009d93d2c9ee3aa9167b425e0064d221 (diff)
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-rw-r--r--FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py86
1 files changed, 86 insertions, 0 deletions
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)
+
+
+
+
+