From 5c947bf68465241eee3abcec931ae53054ae4eef Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Sat, 11 Jul 2020 00:59:15 +0530
Subject: Add files via upload

---
 .../Vector-Spaces/Dual-Spaces/Linear_Functional.py | 29 ++++++++++++++++++++++
 1 file changed, 29 insertions(+)
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Dual-Spaces/Linear_Functional.py

(limited to 'FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Dual-Spaces/Linear_Functional.py')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Dual-Spaces/Linear_Functional.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Dual-Spaces/Linear_Functional.py
new file mode 100644
index 0000000..6edc918
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Dual-Spaces/Linear_Functional.py
@@ -0,0 +1,29 @@
+from manimlib.imports import *
+import numpy as np
+class LinearFunctional(Scene):
+	def construct(self):
+		big_box=Rectangle().scale(2.7)		
+		box = Rectangle(height=2,width=2,color=DARK_GREY).set_fill(color=PURPLE,opacity=350)
+		arrow1 = Arrow(color=RED).shift(1.8*LEFT+0.5*UP)
+		arrow2 = Arrow(color=RED).shift(1.8*LEFT+0.5*DOWN)
+		arrow3 = Arrow(color=GREEN).shift(0.5*UP+1.8*RIGHT)
+		arrow4 = Arrow(color=GREEN).shift(0.5*DOWN+1.8*RIGHT)
+		Linear = TextMobject("LINEAR",color=BLACK).scale(0.5).shift(0.2*UP)
+		Functional = TextMobject("FUNCTIONAL",color=BLACK).scale(0.5).shift(0.2*DOWN)
+		u = TextMobject(r"$\vec{u}$",color=YELLOW).scale(0.7).shift(2.8*LEFT+0.5*UP)
+		v = TextMobject(r"$\vec{v}$",color=YELLOW).scale(0.7).shift(2.8*LEFT+0.5*DOWN)	
+		f1 = TextMobject(r"$f_1$",color=YELLOW).scale(0.7).shift(2.8*RIGHT+0.5*UP)
+		f2 = TextMobject(r"$f_2$",color=YELLOW).scale(0.7).shift(2.8*RIGHT+0.5*DOWN)		
+		text = TextMobject(r"The Linear Functional is a function that takes $\vec{u}, \vec{v} \in$ V as inputs and gives the output $f_1, f_2\in$ F.").scale(0.55).shift(2*DOWN)
+		self.play(ShowCreation(big_box))
+		self.play(ShowCreation(box))
+		self.play(ShowCreation(Linear),ShowCreation(Functional))
+		self.wait(2)
+		self.play(ShowCreation(arrow1),ShowCreation(u))
+		self.play(ShowCreation(arrow3),ShowCreation(f1))
+		self.wait(0.7)
+		self.play(ShowCreation(arrow2),ShowCreation(v))
+		self.play(ShowCreation(arrow4),ShowCreation(f2))		
+		self.wait(1)
+		self.play(ShowCreation(text))
+		self.wait(4)
-- 
cgit