1 files changed, 129 insertions, 0 deletions
diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Scalar Functions/scalar_function_application.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Scalar Functions/scalar_function_application.py
new file mode 100644
index 0000000..56b3e53
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Scalar Functions/scalar_function_application.py
@@ -0,0 +1,129 @@
+from manimlib.imports import *
+
+class ScalarApplication(ThreeDScene):
+    def construct(self):
+        axes = ThreeDAxes() # creates a 3D Axis
+        
+        cube = Cube()
+        cube.set_fill(YELLOW_E, opacity = 0.1)
+        cube.scale(2)
+        self.set_camera_orientation(phi=0 * DEGREES,theta=270*DEGREES)
+        self.play(ShowCreation(cube),ShowCreation(axes))
+        
+        dot = Sphere()
+        dot.scale(0.1)
+        dot.move_to(np.array([1,0.5,1]))
+        dot.set_fill(RED)
+
+        #dot = Dot(np.array([1,0.5,1]), color = RED)
+        temp_func = TextMobject("T(x,y,z)")
+        temp_func.next_to(dot,RIGHT)
+        temp_func.set_color(RED)
+        temp_func_trans = TextMobject("T(1,0.5,1)")
+        temp_func_trans.next_to(dot,RIGHT)
+        temp_func_trans.set_color(RED)
+        temp = TextMobject(r"$36 ^\circ$")
+        temp.next_to(dot,RIGHT)
+        temp.set_color(RED_E)
+
+
+        self.play(ShowCreation(dot))
+        self.play(ShowCreation(temp_func))
+        self.play(Transform(temp_func, temp_func_trans))
+        self.wait(1)
+        self.play(Transform(temp_func, temp))
+
+
+
+
+        dot1 = Sphere()
+        dot1.scale(0.1)
+        dot1.move_to(np.array([-1,-0.8,-1.5]))
+        dot1.set_fill(BLUE_E)
+        #dot1 = Dot(np.array([-1,-0.8,-1.5]), color = BLUE)
+        temp_func1 = TextMobject("T(x,y,z)")
+        temp_func1.next_to(dot1,LEFT)
+        temp_func1.set_color(BLUE)
+        temp_func_trans1 = TextMobject("T(-1,-0.8,-1.5)")
+        temp_func_trans1.next_to(dot1,LEFT)
+        temp_func_trans1.set_color(BLUE)
+        temp1 = TextMobject(r"$24 ^\circ$")
+        temp1.next_to(dot1,LEFT)
+        temp1.set_color(BLUE)
+
+        self.play(ShowCreation(dot1))
+        self.play(ShowCreation(temp_func1))
+        self.play(Transform(temp_func1, temp_func_trans1))
+        self.wait(1)
+        self.play(Transform(temp_func1, temp1))
+
+        self.play(FadeOut(temp_func))
+        self.play(FadeOut(temp_func1))
+
+
+        self.move_camera(phi=80* DEGREES,theta=45*DEGREES,run_time=3)
+
+        self.begin_ambient_camera_rotation(rate=0.2)
+        self.wait(4)
+        self.stop_ambient_camera_rotation()
+        self.wait(2)
+        
+
+
+
+class AddTempScale(Scene):
+    def construct(self):
+        temp_scale = ImageMobject("tempscale.png")
+        temp_scale.scale(4) 
+        temp_scale.move_to(2*RIGHT) 
+        self.play(ShowCreation(temp_scale))
+
+
+        temp_func = TextMobject("T(x,y,z)")
+        temp_func.move_to(3*UP +2*LEFT)
+        temp_func.set_color(RED)
+        temp_func_trans = TextMobject("T(1,0.5,1)")
+        temp_func_trans.move_to(3*UP +2*LEFT)
+        temp_func_trans.set_color(RED)
+        temp = TextMobject(r"$36 ^\circ$")
+        temp.set_color(RED)
+        temp.move_to(3*UP +2*LEFT)
+        temp.scale(0.7)
+
+        self.play(ShowCreation(temp_func))
+        self.play(Transform(temp_func, temp_func_trans))
+        self.wait(1)
+        self.play(Transform(temp_func, temp))
+        self.play(ApplyMethod(temp_func.move_to, 1.8*UP +1.8*RIGHT))
+
+        
+        temp_func1 = TextMobject("T(x,y,z)")
+        temp_func1.move_to(2*UP +2*LEFT)
+        temp_func1.set_color(BLUE)
+        temp_func_trans1 = TextMobject("T(-1,-0.8,-1.5)")
+        temp_func_trans1.move_to(2*UP +2*LEFT)
+        temp_func_trans1.set_color(BLUE)
+        temp1 = TextMobject(r"$24 ^\circ$")
+        temp1.set_color(BLUE)
+        temp1.move_to(2*UP +2*LEFT)
+        temp1.scale(0.7)
+        
+        self.play(ShowCreation(temp_func1))
+        self.play(Transform(temp_func1, temp_func_trans1))
+        self.wait(1)
+        self.play(Transform(temp_func1, temp1))
+        self.play(ApplyMethod(temp_func1.move_to, 0.6*UP +1.8*RIGHT))
+
+
+
+        transtext = TextMobject("Scalar Function Transform:")
+        transtext.set_color(GREEN)
+        transtext1 = TextMobject(r"$\mathbb{R}^3 \rightarrow \mathbb{R}$")
+        transtext1.set_color(YELLOW_E)
+        transtext.move_to(3*UP +3*LEFT)
+        transtext1.next_to(transtext,DOWN)
+        self.play(Write(transtext))
+        self.play(Write(transtext1))
+        self.wait(2)   
+
+