Merge pull request #6 from FOSSEE/master

obtaining changes

1 files changed, 60 insertions, 0 deletions

diff --git a/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/divergence-gauss-theorem/file1_flux@_various_points.py b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/divergence-gauss-theorem/file1_flux@_various_points.py
new file mode 100644
index 0000000..6727982
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/divergence-gauss-theorem/file1_flux@_various_points.py
@@ -0,0 +1,60 @@
+from manimlib.imports import *
+def pendulum_vector_field_func(point):
+    #theta, omega = point[:2]
+    return np.array([
+        5*point[0]+point[1],
+        3*point[1]+3*point[1],
+        0,
+    ])
+class SF(Scene):
+    CONFIG = {
+        #"func": cylinder_flow_vector_field,
+        "flow_time": 5,
+    }
+    def initialize_vector_field(self):
+        self.vector_field = VectorField(
+            pendulum_vector_field_func,
+        )
+        self.vector_field.sort(get_norm)
+    def construct(self):
+        # plane = NumberPlane(color=RED)
+        # plane.add(plane.get_axis_labels()) 
+        # self.add(plane)  
+
+        A=TextMobject("The net flux through the green circular region is zero",tex_to_color_map={"green": GREEN})
+        B=TextMobject("The net flux through the blue circular region is non-zero",tex_to_color_map={"blue": BLUE})
+
+        c1=Circle(color=GREEN, radius=1.5)
+        c1.shift(4*LEFT+2.2*UP)
+        c2=Circle(color=BLUE, radius=1.5)
+        
+
+
+
+        self.play(ShowCreation(A))
+        self.wait(0.5)
+        self.play(ApplyMethod(A.shift, (0.8*UP+0.2*LEFT)))
+        self.play(ShowCreation(B))
+        # self.play(ApplyMethod(B.shift, (2*UP)))
+        self.wait(2)
+        self.play(FadeOut(A),FadeOut(B))
+        self.initialize_vector_field()
+        field = self.vector_field
+        self.play(ShowCreation(field), run_time=4)
+        self.play(ShowCreation(c1))
+        self.play(ShowCreation(c2))
+        self.wait(1)
+        lines = StreamLines(
+            pendulum_vector_field_func,
+            virtual_time=3,
+            min_magnitude=0,
+            max_magnitude=2,
+        )
+        self.add(AnimatedStreamLines(
+            lines,
+            line_anim_class=ShowPassingFlash
+        ))
+        self.wait(2)
+        phase_point = VectorizedPoint(1*UP+1*RIGHT)
+        self.add(move_along_vector_field(phase_point, pendulum_vector_field_func))
+        self.wait(2)