Merge pull request #12 from mohan-padmapriya/grad-edit

Code for subtopic one: Gradient

1 files changed, 39 insertions, 0 deletions

diff --git a/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file6-maximum.py b/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file6-maximum.py
new file mode 100644
index 0000000..255a0eb
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/div-curl-grad-and-all-that/gradient/file6-maximum.py
@@ -0,0 +1,39 @@
+from manimlib.imports import *
+import numpy as np
+
+
+def function(coordinate):
+	x,y = coordinate[:2]
+	return np.array([
+		x,
+		y,
+		2 - x**2 - y**2
+	])
+
+class ThreeDVector_one(ThreeDScene):
+	def construct(self):
+		axes = ThreeDAxes()
+		self.add(axes)
+		self.set_camera_orientation(phi=75*DEGREES,theta=45*DEGREES,distance=40)
+		self.begin_ambient_camera_rotation(rate=0.5)
+
+		surface = ParametricSurface(
+			lambda x, y: np.array([
+			x,
+			y,
+			2 - x**2 - y**2
+		]),u_min=-2,u_max=2, v_min=-2,v_max=2).set_color(RED_E).fade(0.7)
+
+		probe = Sphere(radius = 0.2).set_color(PURPLE_E)
+		probe_one = Sphere(radius = 0.1).set_color(PURPLE_E).move_to(np.array([0,0,2.1]))
+		text_one_b = TexMobject(r" \textrm{ reads 0 at local maximum }").next_to(probe, RIGHT, buff = SMALL_BUFF)
+		name = TextMobject("PROBE2.0 ").next_to(probe, DOWN, buff = SMALL_BUFF).scale(0.5)
+		text = VGroup(probe, text_one_b, name).to_edge(1.5*UP+0.5*LEFT).scale(0.5) 
+		
+
+		self.play(ShowCreation(surface))
+		self.add(probe_one)
+		field = VectorField(function).scale(0.8)
+		self.play(FadeIn(field))
+		self.add_fixed_in_frame_mobjects(text)
+		self.wait(3)