diff options
| -rw-r--r-- | FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/divergence-gauss-theorem/file2_different_valuesof_Div.py | 91 |
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) + + + + + + + + + + + |