From 730cd6af1e4478d9ebf9051e06abdc4d318f72d6 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Wed, 27 May 2020 18:48:27 +0530
Subject: Add files via upload

---
 .../vector-spaces/Vector-Spaces/3D_Vector_Space.py |  14 +++
 .../Vector-Spaces/Vector_Addition_and_Scaling.py   | 137 +++++++++++++++++++++
 .../Vector-Spaces/Vector_Space_As_Functions.py     |  62 ++++++++++
 3 files changed, 213 insertions(+)
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/3D_Vector_Space.py
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Addition_and_Scaling.py
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Space_As_Functions.py

(limited to 'FSF-2020')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/3D_Vector_Space.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/3D_Vector_Space.py
new file mode 100644
index 0000000..70913eb
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/3D_Vector_Space.py
@@ -0,0 +1,14 @@
+from manimlib.imports import *
+class ThreeDSpace(ThreeDScene):
+	def construct(self):
+		curve = ParametricFunction(
+			lambda x:  np.array([
+		    0, -x , x]), color = YELLOW, t_min = -2, t_max = 2)
+		axes = ThreeDAxes()
+		axes.set_stroke(width=1,color=GOLD)		
+		self.add(axes)
+		self.set_camera_orientation(phi = 70*DEGREES,theta =60*DEGREES)
+		self.begin_ambient_camera_rotation(rate=0.3)
+		self.play(ShowCreation(curve))
+		self.wait(6)			
+		
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Addition_and_Scaling.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Addition_and_Scaling.py
new file mode 100644
index 0000000..70af123
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Addition_and_Scaling.py
@@ -0,0 +1,137 @@
+from manimlib.imports import *
+import numpy as np
+
+class vectorspace(GraphScene):
+	CONFIG={
+	"x_min": -7,
+	"x_max": 7,
+	"y_min": -7,
+	"y_max": 7,
+	"graph_origin": ORIGIN,
+	"x_axis_label":"$X$",
+	"y_axis_label":"$Y$",
+	"x_labeled_nums": list(np.arange(-7, 8,1)),
+	"y_labeled_nums": list(np.arange(-7, 8,1)),
+	"x_axis_width": 8,
+	"y_axis_height": 7,
+	"x_tick_frequency":1,
+	"axes_color": GREY,
+	"area_opacity": 3,
+    "num_rects": 10,
+	}	
+	def construct(self):
+		XD = self.x_axis_width/(self.x_max- self.x_min)
+		YD = self.y_axis_height/(self.y_max- self.y_min)	
+		a1=1*XD*RIGHT+2*YD*UP
+		a2=1*XD*RIGHT+1*YD*UP	
+		vec1=Vector(direction=a1).set_color(RED_E)
+		vec1.shift(self.graph_origin)
+		vec2=Vector(direction=a2).set_color(YELLOW_E)
+		vec2.shift(self.graph_origin)
+		vec1_text=TextMobject(r"$\vec{a}$")
+		vec2_text=TextMobject(r"$\vec{b}$")
+		vec1_text=(vec1_text.shift(self.graph_origin+a1+0.2)).scale(.7)
+		vec2_text=(vec2_text.shift(self.graph_origin+a2+0.2)).scale(.7)
+		self.setup_axes(animate=True)
+		self.wait(2)
+		self.play(ShowCreation(vec1))
+		self.play(ShowCreation(vec1_text))
+		self.wait(.7)
+		self.play(ShowCreation(vec2))
+		self.play(ShowCreation(vec2_text))
+		self.wait(.7)
+		a=TextMobject(r"$\vec{a} = (1,2)$",color=RED_B).scale(.6)
+		a.shift(3*LEFT+2.7*UP)
+		b=TextMobject(r"$\vec{b} = (1,1)$",color=YELLOW_E).scale(.6)
+		b.shift(3*LEFT+2*UP)
+		self.play(ShowCreation(a))
+		self.play(ShowCreation(b))
+		self.wait(.5)
+		c=TextMobject(r"$2\cdot\vec{a} = 2\cdot(1,2) = (2,4)$",color=RED_B)
+		c.shift(3*LEFT+2.7*UP)
+		c.scale(.6)
+		self.play(Transform(a,c))
+		scaling1=TextMobject(r"Scaling vector $\vec{a}$ by 2 units",color=GOLD).scale(.5)
+		scaling1.shift(3.4*RIGHT+2.4*UP)
+		self.play(ShowCreation(scaling1))
+		a1=2*XD*RIGHT+4*YD*UP
+		self.play(FadeOut(vec1_text))
+		vec1_scaled=Vector(direction=a1).set_color(RED_E)
+		vec1_scaled.shift(self.graph_origin)
+		self.play(ShowCreation(vec1_scaled))
+		self.play(FadeOut(vec1))
+		vec1_scaled_text=TextMobject(r"$2\vec{a}$").scale(.7)		
+		vec1_scaled_text.shift(self.graph_origin+a1+0.2)
+		self.play(ShowCreation(vec1_scaled_text))
+		self.play(FadeOut(scaling1))
+		d=TextMobject(r"$3\cdot\vec{b} = 3\cdot(1,1) = (3,3)$",color=YELLOW_E).scale(.6)
+		d.shift(3*LEFT+2*UP)
+		self.play(Transform(b,d))
+		scaling2=TextMobject(r"Scaling vector $\vec{b}$ by 3 units",color=GOLD).scale(.5)
+		scaling2.shift(3.4*RIGHT+2.4*UP)
+		self.play(ShowCreation(scaling2))
+		a2=3*XD*RIGHT+3*YD*UP
+		self.play(FadeOut(vec2_text))
+		vec2_2=Vector
+		vec2_scaled=Vector(direction=a2).set_color(YELLOW_E)
+		vec2_scaled.shift(self.graph_origin)
+		self.play(ShowCreation(vec2_scaled))
+		self.play(FadeOut(vec2))
+		vec2_scaled_text=TextMobject(r"$3\vec{b}$").scale(.7)
+		vec2_scaled_text.shift(self.graph_origin+a2+0.2)
+		self.play(ShowCreation(vec2_scaled_text))
+		self.wait(.7)
+		self.play(FadeOut(scaling2))
+		add = TextMobject("+").scale(.7)
+		add.shift(4.8*LEFT+2*UP)
+		self.play(ShowCreation(add))
+		self.wait(.5)
+		line = Line()
+		line.shift(3*LEFT+1.6*UP)
+		line.scale(1.8)
+		self.play(ShowCreation(line))
+		self.wait(1)
+		e = TextMobject(r"$\vec{c} = 2\cdot\vec{a} + 3\cdot\vec{b} = (5,7)$",color=GREEN_D).scale(.6)
+		e.shift(3*LEFT+1.3*UP)
+		self.play(ShowCreation(e))
+		self.wait(.5)
+		add1=TextMobject("Addition of the scaled vectors",color=GOLD).scale(.5)
+		add1.shift(4.1*RIGHT+2.4*UP)
+		self.play(ShowCreation(add1))
+		self.wait(.5)
+		self.play(FadeOut(vec1_scaled_text))
+		self.play(FadeOut(vec2_scaled_text))
+		self.play(FadeOut(vec1_scaled))
+		vec1_scaled2=Vector(direction=a1).set_color(RED_E)
+		vec1_scaled2.shift(self.graph_origin+3*RIGHT*XD+3*UP*YD)
+		self.play(ShowCreation(vec1_scaled2))
+		a3=5*XD*RIGHT+7*YD*UP	
+		vec3=Vector(direction=a3).set_color(GREEN_C)
+		vec3.shift(self.graph_origin)
+		vec3_text=TextMobject(r"$\vec{c}$").scale(.7)
+		vec3_text.shift(self.graph_origin+a3+0.2)
+		self.play(ShowCreation(vec3))
+		self.wait(.5)
+		self.play(ShowCreation(vec3_text))
+		self.wait(1)
+
+
+
+
+		
+
+
+
+
+
+
+
+
+
+
+
+		
+		
+	
+
+	
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Space_As_Functions.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Space_As_Functions.py
new file mode 100644
index 0000000..4f5614d
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Space_As_Functions.py
@@ -0,0 +1,62 @@
+from manimlib.imports import *
+from scipy import sin,cos
+class FunctionalVectorSpace(GraphScene):
+    CONFIG = {
+    "x_min": -5,
+    "x_max": 5,
+    "y_min": -5,
+    "y_max": 5,
+    "graph_origin": ORIGIN,
+    }
+    def construct(self):
+        self.setup_axes(animate = True)        
+        curve1 = self.get_graph(lambda x : sin(x), x_min=-5,x_max=5,color=YELLOW_E)
+        curve2 = self.get_graph(lambda x : cos(x), x_min=-5,x_max=5,color=RED)
+        self.play(ShowCreation(curve1))       
+        fx=TextMobject(r"$f(x)$",color=YELLOW_E).scale(0.7)
+        fx.shift(5*LEFT+0.7*UP)
+        self.play(ShowCreation(fx))
+        self.play(ShowCreation(curve2))
+        gx=TextMobject(r"$g(x)$",color=RED).scale(0.7)
+        gx.shift(5*LEFT+0.2*UP)
+        self.play(ShowCreation(gx))
+        self.wait(2)
+        scaling=TextMobject("Scaling f(x) by 2 units",color=GOLD).scale(0.65)
+        scaling.shift(3*LEFT+2.4*UP)
+        curve3 = self.get_graph(lambda x : 2*sin(x), x_min=-5,x_max=5,color=BLUE)
+        fx2=TextMobject(r"$2f(x)$",color=BLUE).scale(0.7)
+        fx2.shift(5*LEFT+1*UP)
+        self.play(Transform(curve1,curve3),FadeOut(fx),ShowCreation(fx2),ShowCreation(scaling))
+        self.wait(3)
+        hx = TextMobject(r"$h(x)$",color=PURPLE).scale(0.7)
+        hx.shift(4.9*LEFT+1.5*UP)
+        curve4 = self.get_graph(lambda x : 2*sin(x) + cos(x), x_min=-5,x_max=5,color=PURPLE)
+        self.play(ShowCreation(curve4),ShowCreation(hx))
+        self.play(FadeOut(curve2),FadeOut(curve1),FadeOut(fx2),FadeOut(gx),FadeOut(scaling))
+        hxn=TextMobject(r"$h(x)$",color=PURPLE).scale(0.7)
+        hxn.shift(3*RIGHT+2.4*UP)
+        equal = TextMobject("=").scale(0.7)
+        equal.shift(3.5*RIGHT+2.4*UP)
+        fx2n=TextMobject(r"$2f(x)$",color=BLUE).scale(0.7)
+        fx2n.shift(4.2*RIGHT+2.4*UP)
+        add=TextMobject("+").scale(0.7)
+        add.shift(4.8*RIGHT+2.4*UP)
+        gxn=TextMobject(r"$g(x)$",color=RED).scale(0.7)
+        gxn.shift(5.3*RIGHT+2.4*UP)
+        vector_add=TextMobject("Vector Addition",color=GOLD).scale(0.65)
+        vector_add.shift(3*UP+3*RIGHT)
+        self.play(ShowCreation(hxn),ShowCreation(equal),ShowCreation(fx2n),ShowCreation(add),ShowCreation(gxn),ShowCreation(vector_add))
+        self.wait(2)
+
+        
+
+
+
+
+
+
+     
+
+
+
+    
\ No newline at end of file
-- 
cgit 


From c905171679fa8ef186f4594f6713e0b887f730d5 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Wed, 27 May 2020 19:03:05 +0530
Subject: Add files via upload

---
 .../Subspaces/Straight_Line_through_Origin.py      | 48 +++++++++++++
 .../Vector-Spaces/Subspaces/Subspace_Example.py    | 82 ++++++++++++++++++++++
 .../Vector-Spaces/Subspaces/Unit_Circle.py         | 68 ++++++++++++++++++
 3 files changed, 198 insertions(+)
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Straight_Line_through_Origin.py
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Unit_Circle.py

(limited to 'FSF-2020')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Straight_Line_through_Origin.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Straight_Line_through_Origin.py
new file mode 100644
index 0000000..5790d2e
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Straight_Line_through_Origin.py
@@ -0,0 +1,48 @@
+from manimlib.imports import *
+from scipy import exp, sin, log,tan,cos
+class Straight_Line(GraphScene):
+    CONFIG = {
+        "x_min" : -4,
+        "x_max" : 4,
+        "y_min" : -4,
+        "y_max" : 4,
+        "y_tick_frequency" : 1, 
+        "x_tick_frequency" : 1, 
+        "x_labeled_nums" : list(np.arange(-4,5,1)),
+        "y_labeled_nums" : list(np.arange(-4,5,1)),
+        "graph_origin" : ORIGIN+0.7*DOWN,
+        "axes_color" : GREY,
+        "x_axis_width": 6,
+        "y_axis_height":6,
+    }   
+    def construct(self):
+        self.setup_axes(animate=True)
+        line_1 = self.get_graph(lambda x : x, x_min=-3,x_max=3,color=YELLOW)
+        self.play(ShowCreation(line_1))
+        text1 = TextMobject("ax + by = 0",color=BLUE_B)
+        text1.shift(3*RIGHT+2*UP)
+        text1.scale(0.65)
+        dot = Dot(color=BLUE_B).shift(0.7*DOWN)
+        dot.scale(1.3)
+        self.play(ShowCreation(dot))
+        text2 = TextMobject("Line passing through the origin")
+        text2.scale(0.7)
+        text2.shift(3.5*UP)
+        self.play(ShowCreation(text1),ShowCreation(text2))
+        self.wait(1)
+        self.play(FadeOut(line_1),FadeOut(text2),FadeOut(text1))
+        text4=TextMobject("Line not passing through the origin")
+        text4.scale(0.7)
+        text4.shift(3.5*UP)
+        self.play(ShowCreation(text4))
+        
+        line_2 = self.get_graph(lambda x : 2.5*x +1, x_min = -2, x_max=1, color = RED)
+        text3 = TextMobject(r"ax + by $\neq 0$",color=BLUE_B)
+        text3.scale(0.65)
+        self.play(ShowCreation(line_2))
+        text3.shift(1.5*RIGHT+2.2*UP)
+        self.play(ShowCreation(text3))
+        self.wait(1)
+        
+    
+        
\ No newline at end of file
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..ada173e
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Subspace_Example.py
@@ -0,0 +1,82 @@
+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_rect=Rectangle().scale(3).shift(0.5*DOWN)
+        big_rect.set_fill(color=GREY,opacity=350)
+        vec_space=TextMobject("$Vector Space$").scale(0.77).shift(4.5*RIGHT+3.5*UP)
+        sub=TextMobject(r"$Subspace$",color=BLACK).scale(0.77).shift(3.8*RIGHT+2*UP)
+        self.play(ShowCreation(vec_space))
+        self.play(ShowCreation(big_rect),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)
+
+        
+
+
+
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Unit_Circle.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Unit_Circle.py
new file mode 100644
index 0000000..2973f08
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/Unit_Circle.py
@@ -0,0 +1,68 @@
+from manimlib.imports import *
+import numpy as np
+import math
+
+class Unit_Circle(GraphScene):
+    CONFIG = {
+        "x_min" : -3,
+        "x_max" : 3,
+        "y_min" : -3,
+        "y_max" : 3,
+        "y_tick_frequency" : 1, 
+        "x_tick_frequency" : 1, 
+        "x_labeled_nums" : list(np.arange(-3,4,1)),
+        "y_labeled_nums" : list(np.arange(-3,4,1)),
+        "graph_origin" : ORIGIN,
+        "axes_color" : GREY,
+        "x_axis_width": 6,
+        "y_axis_height":6,
+    }   
+
+    def construct(self):
+        self.setup_axes(animate = True)
+        circle = Circle(radius=1,color=BLUE)
+        self.play(ShowCreation(circle))
+        dot1 = Dot(color=RED).scale(0.7)
+        dot1.shift(1*UP)
+        dot2 = Dot(color=RED).scale(0.7)
+        dot2.shift(1*LEFT)
+        dot3 = Dot(color=RED).scale(0.7)
+        dot3.shift(1*DOWN)
+        dot4 = Dot(color=RED).scale(0.7)
+        dot4.shift(1*RIGHT)
+        dot5= Dot(color=RED).scale(0.7)
+        dot6 = Dot(color=RED).scale(0.7)
+        dot5.shift(0.5*RIGHT+(math.sqrt(3)/2)*UP)
+        dot6.shift(0.5*LEFT+(math.sqrt(3)/2)*DOWN)
+        dot7 = Dot(color=RED).scale(0.7)
+        dot7.shift(math.sqrt(2)/2*RIGHT+math.sqrt(2)/2*UP)
+        dot8 = Dot(color=RED).scale(0.7)
+        dot8.shift(math.sqrt(2)/2*LEFT+math.sqrt(2)/2*UP)
+        dot9 = Dot(color=RED).scale(0.7)
+        dot9.shift(0.5*LEFT+(math.sqrt(3)/2)*UP)
+        dot10 = Dot(color=RED).scale(0.7)
+        dot10.shift(math.sqrt(3)/2*LEFT+0.5*UP)
+        dot11=Dot(color=RED).scale(0.7)
+        dot11.shift(math.sqrt(3)/2*RIGHT+0.5*UP)
+        dot12= Dot(color=RED).scale(0.7)
+        dot12.shift(math.sqrt(3)/2*LEFT+0.5*DOWN)
+        dot13=Dot(color=RED).scale(0.7)
+        dot13.shift(math.sqrt(2)/2*RIGHT+math.sqrt(2)/2*DOWN)
+        dot14=Dot(color=RED).scale(0.7)
+        dot14.shift(math.sqrt(2)/2*LEFT+math.sqrt(2)/2*DOWN)
+        dot15=Dot(color=RED).scale(0.7)
+        dot15.shift(math.sqrt(3)/2*RIGHT+0.5*DOWN)
+        dot16=Dot(color=RED).scale(0.7)
+        dot16.shift(0.5*RIGHT+(math.sqrt(3)/2)*DOWN)
+        self.play(ShowCreation(dot1),ShowCreation(dot2))
+        self.play(ShowCreation(dot3),ShowCreation(dot4))
+        self.play(ShowCreation(dot5),ShowCreation(dot6))
+        self.play(ShowCreation(dot7),ShowCreation(dot8))
+        self.play(ShowCreation(dot9),ShowCreation(dot10))
+        self.play(ShowCreation(dot11),ShowCreation(dot12))
+        self.play(ShowCreation(dot13),ShowCreation(dot14))
+        self.play(ShowCreation(dot15),ShowCreation(dot16))
+        self.wait(4)
+    
+
+
-- 
cgit 


From 31e59b2ca163acd668a56ac356ebe040e9285a5a Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Wed, 27 May 2020 19:04:23 +0530
Subject: Add files via upload

---
 .../Vector-Spaces/Vector-Spaces/3D_Vector_Space.py |  14 +++
 .../Vector-Spaces/Vector_Addition_and_Scaling.py   | 137 +++++++++++++++++++++
 .../Vector-Spaces/Vector_Space_As_Functions.py     |  62 ++++++++++
 3 files changed, 213 insertions(+)
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/3D_Vector_Space.py
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/Vector_Addition_and_Scaling.py
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/Vector_Space_As_Functions.py

(limited to 'FSF-2020')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/3D_Vector_Space.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/3D_Vector_Space.py
new file mode 100644
index 0000000..70913eb
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/3D_Vector_Space.py
@@ -0,0 +1,14 @@
+from manimlib.imports import *
+class ThreeDSpace(ThreeDScene):
+	def construct(self):
+		curve = ParametricFunction(
+			lambda x:  np.array([
+		    0, -x , x]), color = YELLOW, t_min = -2, t_max = 2)
+		axes = ThreeDAxes()
+		axes.set_stroke(width=1,color=GOLD)		
+		self.add(axes)
+		self.set_camera_orientation(phi = 70*DEGREES,theta =60*DEGREES)
+		self.begin_ambient_camera_rotation(rate=0.3)
+		self.play(ShowCreation(curve))
+		self.wait(6)			
+		
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/Vector_Addition_and_Scaling.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/Vector_Addition_and_Scaling.py
new file mode 100644
index 0000000..70af123
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/Vector_Addition_and_Scaling.py
@@ -0,0 +1,137 @@
+from manimlib.imports import *
+import numpy as np
+
+class vectorspace(GraphScene):
+	CONFIG={
+	"x_min": -7,
+	"x_max": 7,
+	"y_min": -7,
+	"y_max": 7,
+	"graph_origin": ORIGIN,
+	"x_axis_label":"$X$",
+	"y_axis_label":"$Y$",
+	"x_labeled_nums": list(np.arange(-7, 8,1)),
+	"y_labeled_nums": list(np.arange(-7, 8,1)),
+	"x_axis_width": 8,
+	"y_axis_height": 7,
+	"x_tick_frequency":1,
+	"axes_color": GREY,
+	"area_opacity": 3,
+    "num_rects": 10,
+	}	
+	def construct(self):
+		XD = self.x_axis_width/(self.x_max- self.x_min)
+		YD = self.y_axis_height/(self.y_max- self.y_min)	
+		a1=1*XD*RIGHT+2*YD*UP
+		a2=1*XD*RIGHT+1*YD*UP	
+		vec1=Vector(direction=a1).set_color(RED_E)
+		vec1.shift(self.graph_origin)
+		vec2=Vector(direction=a2).set_color(YELLOW_E)
+		vec2.shift(self.graph_origin)
+		vec1_text=TextMobject(r"$\vec{a}$")
+		vec2_text=TextMobject(r"$\vec{b}$")
+		vec1_text=(vec1_text.shift(self.graph_origin+a1+0.2)).scale(.7)
+		vec2_text=(vec2_text.shift(self.graph_origin+a2+0.2)).scale(.7)
+		self.setup_axes(animate=True)
+		self.wait(2)
+		self.play(ShowCreation(vec1))
+		self.play(ShowCreation(vec1_text))
+		self.wait(.7)
+		self.play(ShowCreation(vec2))
+		self.play(ShowCreation(vec2_text))
+		self.wait(.7)
+		a=TextMobject(r"$\vec{a} = (1,2)$",color=RED_B).scale(.6)
+		a.shift(3*LEFT+2.7*UP)
+		b=TextMobject(r"$\vec{b} = (1,1)$",color=YELLOW_E).scale(.6)
+		b.shift(3*LEFT+2*UP)
+		self.play(ShowCreation(a))
+		self.play(ShowCreation(b))
+		self.wait(.5)
+		c=TextMobject(r"$2\cdot\vec{a} = 2\cdot(1,2) = (2,4)$",color=RED_B)
+		c.shift(3*LEFT+2.7*UP)
+		c.scale(.6)
+		self.play(Transform(a,c))
+		scaling1=TextMobject(r"Scaling vector $\vec{a}$ by 2 units",color=GOLD).scale(.5)
+		scaling1.shift(3.4*RIGHT+2.4*UP)
+		self.play(ShowCreation(scaling1))
+		a1=2*XD*RIGHT+4*YD*UP
+		self.play(FadeOut(vec1_text))
+		vec1_scaled=Vector(direction=a1).set_color(RED_E)
+		vec1_scaled.shift(self.graph_origin)
+		self.play(ShowCreation(vec1_scaled))
+		self.play(FadeOut(vec1))
+		vec1_scaled_text=TextMobject(r"$2\vec{a}$").scale(.7)		
+		vec1_scaled_text.shift(self.graph_origin+a1+0.2)
+		self.play(ShowCreation(vec1_scaled_text))
+		self.play(FadeOut(scaling1))
+		d=TextMobject(r"$3\cdot\vec{b} = 3\cdot(1,1) = (3,3)$",color=YELLOW_E).scale(.6)
+		d.shift(3*LEFT+2*UP)
+		self.play(Transform(b,d))
+		scaling2=TextMobject(r"Scaling vector $\vec{b}$ by 3 units",color=GOLD).scale(.5)
+		scaling2.shift(3.4*RIGHT+2.4*UP)
+		self.play(ShowCreation(scaling2))
+		a2=3*XD*RIGHT+3*YD*UP
+		self.play(FadeOut(vec2_text))
+		vec2_2=Vector
+		vec2_scaled=Vector(direction=a2).set_color(YELLOW_E)
+		vec2_scaled.shift(self.graph_origin)
+		self.play(ShowCreation(vec2_scaled))
+		self.play(FadeOut(vec2))
+		vec2_scaled_text=TextMobject(r"$3\vec{b}$").scale(.7)
+		vec2_scaled_text.shift(self.graph_origin+a2+0.2)
+		self.play(ShowCreation(vec2_scaled_text))
+		self.wait(.7)
+		self.play(FadeOut(scaling2))
+		add = TextMobject("+").scale(.7)
+		add.shift(4.8*LEFT+2*UP)
+		self.play(ShowCreation(add))
+		self.wait(.5)
+		line = Line()
+		line.shift(3*LEFT+1.6*UP)
+		line.scale(1.8)
+		self.play(ShowCreation(line))
+		self.wait(1)
+		e = TextMobject(r"$\vec{c} = 2\cdot\vec{a} + 3\cdot\vec{b} = (5,7)$",color=GREEN_D).scale(.6)
+		e.shift(3*LEFT+1.3*UP)
+		self.play(ShowCreation(e))
+		self.wait(.5)
+		add1=TextMobject("Addition of the scaled vectors",color=GOLD).scale(.5)
+		add1.shift(4.1*RIGHT+2.4*UP)
+		self.play(ShowCreation(add1))
+		self.wait(.5)
+		self.play(FadeOut(vec1_scaled_text))
+		self.play(FadeOut(vec2_scaled_text))
+		self.play(FadeOut(vec1_scaled))
+		vec1_scaled2=Vector(direction=a1).set_color(RED_E)
+		vec1_scaled2.shift(self.graph_origin+3*RIGHT*XD+3*UP*YD)
+		self.play(ShowCreation(vec1_scaled2))
+		a3=5*XD*RIGHT+7*YD*UP	
+		vec3=Vector(direction=a3).set_color(GREEN_C)
+		vec3.shift(self.graph_origin)
+		vec3_text=TextMobject(r"$\vec{c}$").scale(.7)
+		vec3_text.shift(self.graph_origin+a3+0.2)
+		self.play(ShowCreation(vec3))
+		self.wait(.5)
+		self.play(ShowCreation(vec3_text))
+		self.wait(1)
+
+
+
+
+		
+
+
+
+
+
+
+
+
+
+
+
+		
+		
+	
+
+	
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/Vector_Space_As_Functions.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/Vector_Space_As_Functions.py
new file mode 100644
index 0000000..4f5614d
--- /dev/null
+++ b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/Vector_Space_As_Functions.py
@@ -0,0 +1,62 @@
+from manimlib.imports import *
+from scipy import sin,cos
+class FunctionalVectorSpace(GraphScene):
+    CONFIG = {
+    "x_min": -5,
+    "x_max": 5,
+    "y_min": -5,
+    "y_max": 5,
+    "graph_origin": ORIGIN,
+    }
+    def construct(self):
+        self.setup_axes(animate = True)        
+        curve1 = self.get_graph(lambda x : sin(x), x_min=-5,x_max=5,color=YELLOW_E)
+        curve2 = self.get_graph(lambda x : cos(x), x_min=-5,x_max=5,color=RED)
+        self.play(ShowCreation(curve1))       
+        fx=TextMobject(r"$f(x)$",color=YELLOW_E).scale(0.7)
+        fx.shift(5*LEFT+0.7*UP)
+        self.play(ShowCreation(fx))
+        self.play(ShowCreation(curve2))
+        gx=TextMobject(r"$g(x)$",color=RED).scale(0.7)
+        gx.shift(5*LEFT+0.2*UP)
+        self.play(ShowCreation(gx))
+        self.wait(2)
+        scaling=TextMobject("Scaling f(x) by 2 units",color=GOLD).scale(0.65)
+        scaling.shift(3*LEFT+2.4*UP)
+        curve3 = self.get_graph(lambda x : 2*sin(x), x_min=-5,x_max=5,color=BLUE)
+        fx2=TextMobject(r"$2f(x)$",color=BLUE).scale(0.7)
+        fx2.shift(5*LEFT+1*UP)
+        self.play(Transform(curve1,curve3),FadeOut(fx),ShowCreation(fx2),ShowCreation(scaling))
+        self.wait(3)
+        hx = TextMobject(r"$h(x)$",color=PURPLE).scale(0.7)
+        hx.shift(4.9*LEFT+1.5*UP)
+        curve4 = self.get_graph(lambda x : 2*sin(x) + cos(x), x_min=-5,x_max=5,color=PURPLE)
+        self.play(ShowCreation(curve4),ShowCreation(hx))
+        self.play(FadeOut(curve2),FadeOut(curve1),FadeOut(fx2),FadeOut(gx),FadeOut(scaling))
+        hxn=TextMobject(r"$h(x)$",color=PURPLE).scale(0.7)
+        hxn.shift(3*RIGHT+2.4*UP)
+        equal = TextMobject("=").scale(0.7)
+        equal.shift(3.5*RIGHT+2.4*UP)
+        fx2n=TextMobject(r"$2f(x)$",color=BLUE).scale(0.7)
+        fx2n.shift(4.2*RIGHT+2.4*UP)
+        add=TextMobject("+").scale(0.7)
+        add.shift(4.8*RIGHT+2.4*UP)
+        gxn=TextMobject(r"$g(x)$",color=RED).scale(0.7)
+        gxn.shift(5.3*RIGHT+2.4*UP)
+        vector_add=TextMobject("Vector Addition",color=GOLD).scale(0.65)
+        vector_add.shift(3*UP+3*RIGHT)
+        self.play(ShowCreation(hxn),ShowCreation(equal),ShowCreation(fx2n),ShowCreation(add),ShowCreation(gxn),ShowCreation(vector_add))
+        self.wait(2)
+
+        
+
+
+
+
+
+
+     
+
+
+
+    
\ No newline at end of file
-- 
cgit 


From 5ecb68a8c5bdfcb98de6053ed4b86015482223e9 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Wed, 27 May 2020 19:13:47 +0530
Subject: Delete Vector_Addition_and_Scaling.py

---
 .../Vector-Spaces/Vector_Addition_and_Scaling.py   | 137 ---------------------
 1 file changed, 137 deletions(-)
 delete mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Addition_and_Scaling.py

(limited to 'FSF-2020')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Addition_and_Scaling.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Addition_and_Scaling.py
deleted file mode 100644
index 70af123..0000000
--- a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Addition_and_Scaling.py
+++ /dev/null
@@ -1,137 +0,0 @@
-from manimlib.imports import *
-import numpy as np
-
-class vectorspace(GraphScene):
-	CONFIG={
-	"x_min": -7,
-	"x_max": 7,
-	"y_min": -7,
-	"y_max": 7,
-	"graph_origin": ORIGIN,
-	"x_axis_label":"$X$",
-	"y_axis_label":"$Y$",
-	"x_labeled_nums": list(np.arange(-7, 8,1)),
-	"y_labeled_nums": list(np.arange(-7, 8,1)),
-	"x_axis_width": 8,
-	"y_axis_height": 7,
-	"x_tick_frequency":1,
-	"axes_color": GREY,
-	"area_opacity": 3,
-    "num_rects": 10,
-	}	
-	def construct(self):
-		XD = self.x_axis_width/(self.x_max- self.x_min)
-		YD = self.y_axis_height/(self.y_max- self.y_min)	
-		a1=1*XD*RIGHT+2*YD*UP
-		a2=1*XD*RIGHT+1*YD*UP	
-		vec1=Vector(direction=a1).set_color(RED_E)
-		vec1.shift(self.graph_origin)
-		vec2=Vector(direction=a2).set_color(YELLOW_E)
-		vec2.shift(self.graph_origin)
-		vec1_text=TextMobject(r"$\vec{a}$")
-		vec2_text=TextMobject(r"$\vec{b}$")
-		vec1_text=(vec1_text.shift(self.graph_origin+a1+0.2)).scale(.7)
-		vec2_text=(vec2_text.shift(self.graph_origin+a2+0.2)).scale(.7)
-		self.setup_axes(animate=True)
-		self.wait(2)
-		self.play(ShowCreation(vec1))
-		self.play(ShowCreation(vec1_text))
-		self.wait(.7)
-		self.play(ShowCreation(vec2))
-		self.play(ShowCreation(vec2_text))
-		self.wait(.7)
-		a=TextMobject(r"$\vec{a} = (1,2)$",color=RED_B).scale(.6)
-		a.shift(3*LEFT+2.7*UP)
-		b=TextMobject(r"$\vec{b} = (1,1)$",color=YELLOW_E).scale(.6)
-		b.shift(3*LEFT+2*UP)
-		self.play(ShowCreation(a))
-		self.play(ShowCreation(b))
-		self.wait(.5)
-		c=TextMobject(r"$2\cdot\vec{a} = 2\cdot(1,2) = (2,4)$",color=RED_B)
-		c.shift(3*LEFT+2.7*UP)
-		c.scale(.6)
-		self.play(Transform(a,c))
-		scaling1=TextMobject(r"Scaling vector $\vec{a}$ by 2 units",color=GOLD).scale(.5)
-		scaling1.shift(3.4*RIGHT+2.4*UP)
-		self.play(ShowCreation(scaling1))
-		a1=2*XD*RIGHT+4*YD*UP
-		self.play(FadeOut(vec1_text))
-		vec1_scaled=Vector(direction=a1).set_color(RED_E)
-		vec1_scaled.shift(self.graph_origin)
-		self.play(ShowCreation(vec1_scaled))
-		self.play(FadeOut(vec1))
-		vec1_scaled_text=TextMobject(r"$2\vec{a}$").scale(.7)		
-		vec1_scaled_text.shift(self.graph_origin+a1+0.2)
-		self.play(ShowCreation(vec1_scaled_text))
-		self.play(FadeOut(scaling1))
-		d=TextMobject(r"$3\cdot\vec{b} = 3\cdot(1,1) = (3,3)$",color=YELLOW_E).scale(.6)
-		d.shift(3*LEFT+2*UP)
-		self.play(Transform(b,d))
-		scaling2=TextMobject(r"Scaling vector $\vec{b}$ by 3 units",color=GOLD).scale(.5)
-		scaling2.shift(3.4*RIGHT+2.4*UP)
-		self.play(ShowCreation(scaling2))
-		a2=3*XD*RIGHT+3*YD*UP
-		self.play(FadeOut(vec2_text))
-		vec2_2=Vector
-		vec2_scaled=Vector(direction=a2).set_color(YELLOW_E)
-		vec2_scaled.shift(self.graph_origin)
-		self.play(ShowCreation(vec2_scaled))
-		self.play(FadeOut(vec2))
-		vec2_scaled_text=TextMobject(r"$3\vec{b}$").scale(.7)
-		vec2_scaled_text.shift(self.graph_origin+a2+0.2)
-		self.play(ShowCreation(vec2_scaled_text))
-		self.wait(.7)
-		self.play(FadeOut(scaling2))
-		add = TextMobject("+").scale(.7)
-		add.shift(4.8*LEFT+2*UP)
-		self.play(ShowCreation(add))
-		self.wait(.5)
-		line = Line()
-		line.shift(3*LEFT+1.6*UP)
-		line.scale(1.8)
-		self.play(ShowCreation(line))
-		self.wait(1)
-		e = TextMobject(r"$\vec{c} = 2\cdot\vec{a} + 3\cdot\vec{b} = (5,7)$",color=GREEN_D).scale(.6)
-		e.shift(3*LEFT+1.3*UP)
-		self.play(ShowCreation(e))
-		self.wait(.5)
-		add1=TextMobject("Addition of the scaled vectors",color=GOLD).scale(.5)
-		add1.shift(4.1*RIGHT+2.4*UP)
-		self.play(ShowCreation(add1))
-		self.wait(.5)
-		self.play(FadeOut(vec1_scaled_text))
-		self.play(FadeOut(vec2_scaled_text))
-		self.play(FadeOut(vec1_scaled))
-		vec1_scaled2=Vector(direction=a1).set_color(RED_E)
-		vec1_scaled2.shift(self.graph_origin+3*RIGHT*XD+3*UP*YD)
-		self.play(ShowCreation(vec1_scaled2))
-		a3=5*XD*RIGHT+7*YD*UP	
-		vec3=Vector(direction=a3).set_color(GREEN_C)
-		vec3.shift(self.graph_origin)
-		vec3_text=TextMobject(r"$\vec{c}$").scale(.7)
-		vec3_text.shift(self.graph_origin+a3+0.2)
-		self.play(ShowCreation(vec3))
-		self.wait(.5)
-		self.play(ShowCreation(vec3_text))
-		self.wait(1)
-
-
-
-
-		
-
-
-
-
-
-
-
-
-
-
-
-		
-		
-	
-
-	
-- 
cgit 


From 8e03fbcadca1d7a4ae0b69dd1062d4cdf89240f5 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Wed, 27 May 2020 19:14:03 +0530
Subject: Delete 3D_Vector_Space.py

---
 .../vector-spaces/Vector-Spaces/3D_Vector_Space.py         | 14 --------------
 1 file changed, 14 deletions(-)
 delete mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/3D_Vector_Space.py

(limited to 'FSF-2020')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/3D_Vector_Space.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/3D_Vector_Space.py
deleted file mode 100644
index 70913eb..0000000
--- a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/3D_Vector_Space.py
+++ /dev/null
@@ -1,14 +0,0 @@
-from manimlib.imports import *
-class ThreeDSpace(ThreeDScene):
-	def construct(self):
-		curve = ParametricFunction(
-			lambda x:  np.array([
-		    0, -x , x]), color = YELLOW, t_min = -2, t_max = 2)
-		axes = ThreeDAxes()
-		axes.set_stroke(width=1,color=GOLD)		
-		self.add(axes)
-		self.set_camera_orientation(phi = 70*DEGREES,theta =60*DEGREES)
-		self.begin_ambient_camera_rotation(rate=0.3)
-		self.play(ShowCreation(curve))
-		self.wait(6)			
-		
-- 
cgit 


From eaf43a99f2797845d436e3a07976498de34cbbb3 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Wed, 27 May 2020 19:14:16 +0530
Subject: Delete Vector_Space_As_Functions.py

---
 .../Vector-Spaces/Vector_Space_As_Functions.py     | 62 ----------------------
 1 file changed, 62 deletions(-)
 delete mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Space_As_Functions.py

(limited to 'FSF-2020')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Space_As_Functions.py b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Space_As_Functions.py
deleted file mode 100644
index 4f5614d..0000000
--- a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector_Space_As_Functions.py
+++ /dev/null
@@ -1,62 +0,0 @@
-from manimlib.imports import *
-from scipy import sin,cos
-class FunctionalVectorSpace(GraphScene):
-    CONFIG = {
-    "x_min": -5,
-    "x_max": 5,
-    "y_min": -5,
-    "y_max": 5,
-    "graph_origin": ORIGIN,
-    }
-    def construct(self):
-        self.setup_axes(animate = True)        
-        curve1 = self.get_graph(lambda x : sin(x), x_min=-5,x_max=5,color=YELLOW_E)
-        curve2 = self.get_graph(lambda x : cos(x), x_min=-5,x_max=5,color=RED)
-        self.play(ShowCreation(curve1))       
-        fx=TextMobject(r"$f(x)$",color=YELLOW_E).scale(0.7)
-        fx.shift(5*LEFT+0.7*UP)
-        self.play(ShowCreation(fx))
-        self.play(ShowCreation(curve2))
-        gx=TextMobject(r"$g(x)$",color=RED).scale(0.7)
-        gx.shift(5*LEFT+0.2*UP)
-        self.play(ShowCreation(gx))
-        self.wait(2)
-        scaling=TextMobject("Scaling f(x) by 2 units",color=GOLD).scale(0.65)
-        scaling.shift(3*LEFT+2.4*UP)
-        curve3 = self.get_graph(lambda x : 2*sin(x), x_min=-5,x_max=5,color=BLUE)
-        fx2=TextMobject(r"$2f(x)$",color=BLUE).scale(0.7)
-        fx2.shift(5*LEFT+1*UP)
-        self.play(Transform(curve1,curve3),FadeOut(fx),ShowCreation(fx2),ShowCreation(scaling))
-        self.wait(3)
-        hx = TextMobject(r"$h(x)$",color=PURPLE).scale(0.7)
-        hx.shift(4.9*LEFT+1.5*UP)
-        curve4 = self.get_graph(lambda x : 2*sin(x) + cos(x), x_min=-5,x_max=5,color=PURPLE)
-        self.play(ShowCreation(curve4),ShowCreation(hx))
-        self.play(FadeOut(curve2),FadeOut(curve1),FadeOut(fx2),FadeOut(gx),FadeOut(scaling))
-        hxn=TextMobject(r"$h(x)$",color=PURPLE).scale(0.7)
-        hxn.shift(3*RIGHT+2.4*UP)
-        equal = TextMobject("=").scale(0.7)
-        equal.shift(3.5*RIGHT+2.4*UP)
-        fx2n=TextMobject(r"$2f(x)$",color=BLUE).scale(0.7)
-        fx2n.shift(4.2*RIGHT+2.4*UP)
-        add=TextMobject("+").scale(0.7)
-        add.shift(4.8*RIGHT+2.4*UP)
-        gxn=TextMobject(r"$g(x)$",color=RED).scale(0.7)
-        gxn.shift(5.3*RIGHT+2.4*UP)
-        vector_add=TextMobject("Vector Addition",color=GOLD).scale(0.65)
-        vector_add.shift(3*UP+3*RIGHT)
-        self.play(ShowCreation(hxn),ShowCreation(equal),ShowCreation(fx2n),ShowCreation(add),ShowCreation(gxn),ShowCreation(vector_add))
-        self.wait(2)
-
-        
-
-
-
-
-
-
-     
-
-
-
-    
\ No newline at end of file
-- 
cgit 


From 6414cc9cc0471a473716bb9bfe6dfa8f81bd58f5 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Wed, 27 May 2020 19:41:27 +0530
Subject: Update README.md

---
 FSF-2020/linear-algebra/vector-spaces/README.md | 9 +++++++++
 1 file changed, 9 insertions(+)

(limited to 'FSF-2020')

diff --git a/FSF-2020/linear-algebra/vector-spaces/README.md b/FSF-2020/linear-algebra/vector-spaces/README.md
index e69de29..03f6a03 100644
--- a/FSF-2020/linear-algebra/vector-spaces/README.md
+++ b/FSF-2020/linear-algebra/vector-spaces/README.md
@@ -0,0 +1,9 @@
+# Contributer: Simran Chhattani
+My Github Account : <a href="https://github.com/simranchhattani">simranchhattani</a>
+<br/></br>
+## Sub-Topics Covered:
++ Vector Spaces
++ Basis of a Vector Space and Subspace
++ Polynomial and Function Vector Space
++ Inner Product Spaces
++ Dual of a Vector Space
-- 
cgit 


From 16a7ed658ff6cdc3843af3190034f8a6162c7ab8 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Wed, 27 May 2020 20:37:16 +0530
Subject: Add files via upload

---
 .../Subspaces/gifs/Straight_Line_Through_Origin.gif    | Bin 0 -> 314823 bytes
 .../Vector-Spaces/Subspaces/gifs/Subspace_Example.gif  | Bin 0 -> 647405 bytes
 .../Vector-Spaces/Subspaces/gifs/Unit_Circle.gif       | Bin 0 -> 149852 bytes
 3 files changed, 0 insertions(+), 0 deletions(-)
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Straight_Line_Through_Origin.gif
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Unit_Circle.gif

(limited to 'FSF-2020')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Straight_Line_Through_Origin.gif b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Straight_Line_Through_Origin.gif
new file mode 100644
index 0000000..b7695a4
Binary files /dev/null and b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Straight_Line_Through_Origin.gif differ
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif
new file mode 100644
index 0000000..32b02be
Binary files /dev/null and b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Subspace_Example.gif differ
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Unit_Circle.gif b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Unit_Circle.gif
new file mode 100644
index 0000000..165d040
Binary files /dev/null and b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Subspaces/gifs/Unit_Circle.gif differ
-- 
cgit 


From 439152addc4ae7d132c74d7368f71067068b64c8 Mon Sep 17 00:00:00 2001
From: simranchhattani
Date: Wed, 27 May 2020 20:44:35 +0530
Subject: Add files via upload

---
 .../Vector-Spaces/gifs/3D_Vector_Space.gif            | Bin 0 -> 1976679 bytes
 .../gifs/Function_Vector_Space_Example.gif            | Bin 0 -> 634786 bytes
 .../Vector_Addition_and_Scalar_Multiplication.gif     | Bin 0 -> 4954730 bytes
 3 files changed, 0 insertions(+), 0 deletions(-)
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/gifs/3D_Vector_Space.gif
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/gifs/Function_Vector_Space_Example.gif
 create mode 100644 FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/gifs/Vector_Addition_and_Scalar_Multiplication.gif

(limited to 'FSF-2020')

diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/gifs/3D_Vector_Space.gif b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/gifs/3D_Vector_Space.gif
new file mode 100644
index 0000000..137546a
Binary files /dev/null and b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/gifs/3D_Vector_Space.gif differ
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/gifs/Function_Vector_Space_Example.gif b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/gifs/Function_Vector_Space_Example.gif
new file mode 100644
index 0000000..d9edf46
Binary files /dev/null and b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/gifs/Function_Vector_Space_Example.gif differ
diff --git a/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/gifs/Vector_Addition_and_Scalar_Multiplication.gif b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/gifs/Vector_Addition_and_Scalar_Multiplication.gif
new file mode 100644
index 0000000..ed65f8a
Binary files /dev/null and b/FSF-2020/linear-algebra/vector-spaces/Vector-Spaces/Vector-Spaces/gifs/Vector_Addition_and_Scalar_Multiplication.gif differ
-- 
cgit