Create file2_different_valuesof_Div.py

1 files changed, 91 insertions, 0 deletions

diff --git a/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/divergence-gauss-theorem/file2_different_valuesof_Div.py b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/divergence-gauss-theorem/file2_different_valuesof_Div.py
new file mode 100644
index 0000000..921047d
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/divergence-gauss-theorem/file2_different_valuesof_Div.py
@@ -0,0 +1,91 @@
+from manimlib.imports import *
+class Div(Scene):
+	def construct(self):
+		one=TextMobject(r"Div$ \vec{F} < 0$ ").set_color(RED)
+		two=TextMobject(r"Div$ \vec{F} = 0$ ").set_color(BLUE)
+		three=TextMobject(r"Div$ \vec{F} > 0$ ").set_color(YELLOW)
+
+		one.shift(2.3*DOWN)
+		two.shift(2.3*DOWN)
+		three.shift(2.3*DOWN)
+
+
+		a=Dot(color=RED)
+		a.shift(0.1*LEFT)
+		b=Dot(color=BLUE)
+		b.shift(0.1*LEFT)
+		c=Dot(color=YELLOW)
+		c.shift(0.1*LEFT)
+
+		rot=[0*DEGREES,45*DEGREES,90*DEGREES,135*DEGREES,180*DEGREES,225*DEGREES,270*DEGREES,315*DEGREES]
+		rot2=[180*DEGREES,180*DEGREES,180*DEGREES,180*DEGREES,180*DEGREES,180*DEGREES,180*DEGREES,180*DEGREES]
+		shift=[RIGHT,0.7*RIGHT+0.7*UP,UP,0.7*LEFT+0.7*UP,LEFT,0.7*LEFT+0.7*DOWN,DOWN,0.7*RIGHT+0.7*DOWN]   
+		shift2=[RIGHT,RIGHT+UP,RIGHT+DOWN,UP,DOWN,LEFT,LEFT+UP,LEFT+DOWN]
+
+
+		
+		u=[Vector(color=RED),Vector(color=RED),Vector(color=RED),Vector(color=RED),
+		   Vector(color=RED),Vector(color=RED),Vector(color=RED),Vector(color=RED)]
+
+
+		[u[i].rotate(rot[i]) for i in range(8) ]
+		[u[i].rotate(rot2[i]) for i in range(8) ]
+		[u[i].shift(shift[i]) for i in range(8) ]
+
+
+		divone=VGroup(*u)
+		divone.shift(0.6*LEFT)
+
+
+		v=[Vector(color=BLUE),Vector(color=BLUE),Vector(color=BLUE),Vector(color=BLUE),
+		   Vector(color=BLUE),Vector(color=BLUE),Vector(color=BLUE),Vector(color=BLUE)]
+
+
+		[v[i].rotate(45*DEGREES) for i in range(8)]
+		[v[i].shift(shift2[i]) for i in range(8) ]
+
+		divtwo=VGroup(*v)
+		divtwo.shift(0.6*LEFT)
+
+
+		w=[Vector(color=YELLOW),Vector(color=YELLOW),Vector(color=YELLOW),Vector(color=YELLOW),
+		   Vector(color=YELLOW),Vector(color=YELLOW),Vector(color=YELLOW),Vector(color=YELLOW)]
+
+
+		[w[i].rotate(rot[i]) for i in range(8)]
+		[w[i].shift(shift[i]) for i in range(8) ]   
+
+
+		divthree=VGroup(*w)
+		divthree.shift(0.6*LEFT)
+
+
+
+
+		self.play(ShowCreation(a),ShowCreation(divone))
+		self.play(ShowCreation(one))
+		self.wait(1)
+		self.play(FadeOut(a),FadeOut(divone),FadeOut(one))
+
+		self.play(ShowCreation(b),ShowCreation(divtwo))
+		self.play(ShowCreation(two))
+		self.wait(1)
+		self.play(FadeOut(b),FadeOut(divtwo),FadeOut(two))
+
+
+		self.play(ShowCreation(c),ShowCreation(divthree))
+		self.play(ShowCreation(three))
+		self.wait(1)
+		self.play(FadeOut(c),FadeOut(divthree),FadeOut(three))
+		self.wait(0.5)
+
+
+
+
+
+
+
+
+
+
+