From 086e7f793e9ded164dac46ad5217ea733cedb2b9 Mon Sep 17 00:00:00 2001
From: nishanpoojary
Date: Wed, 1 Jul 2020 11:52:44 +0530
Subject: Added updated multivariable-functions folder

---
 .../file2_multivariable_func_respresentation.py    | 98 ++++++++++++++++++++++
 1 file changed, 98 insertions(+)
 create mode 100644 FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file2_multivariable_func_respresentation.py

(limited to 'FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file2_multivariable_func_respresentation.py')

diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file2_multivariable_func_respresentation.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file2_multivariable_func_respresentation.py
new file mode 100644
index 0000000..d10ff0a
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/multivariable-functions/file2_multivariable_func_respresentation.py
@@ -0,0 +1,98 @@
+from manimlib.imports import *
+
+class MultivariableFunc(Scene):
+    def construct(self):
+
+        topic = TextMobject("Multivariable Functions")
+        topic.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)
+        topic.scale(1.5)
+
+        self.play(Write(topic))
+        self.wait()
+        self.play(FadeOut(topic))
+
+
+        #circle = Circle()
+        #circle.scale(3)
+
+        scalar_function = TextMobject("Scalar Valued Function")
+        scalar_function.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)
+        scalar_function.scale(1.5)
+        scalar_function.move_to(2.5*UP)
+
+        rectangle = Rectangle(height = 2, width = 4)
+        rectangle.set_color(PURPLE)
+
+        eqn1 = TextMobject(r"f(x,y) = $x^2y$")
+        eqn1.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE)
+        
+
+
+        number1 = TextMobject("(2,1)")
+        number1.move_to(2.5*UP+ 4*LEFT)
+        number1.scale(1.2)
+        number1.set_color(ORANGE)
+
+        output1 = TextMobject("4")
+        output1.scale(1.5)
+        output1.set_color(BLUE_C)
+        output1.move_to(3*RIGHT)
+
+        eqn1_1 = TextMobject(r"f(2,1) = $2^2(1)$")
+        eqn1_1.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE)
+
+
+        self.play(Write(eqn1),ShowCreation(rectangle))
+        self.wait()
+        self.play(ApplyMethod(number1.move_to, 3*LEFT))
+        self.play(FadeOut(number1))
+        self.play(Transform(eqn1, eqn1_1))
+        self.wait()
+        self.play(ApplyMethod(output1.move_to, 2.5*DOWN+4*RIGHT))
+        self.wait()
+        self.play(Write(scalar_function))
+        self.play(FadeOut(output1), FadeOut(scalar_function), FadeOut(eqn1))
+
+
+        vector_function = TextMobject("Vector Valued Function")
+        vector_function.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)
+        vector_function.scale(1.5)
+        vector_function.move_to(2.5*UP)
+
+
+        eqn2 = TextMobject(r"f(x,y,z) = $ \begin{bmatrix} x^2y \\ 2yz  \end{bmatrix}$")
+        eqn2.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)
+
+        number2 = TextMobject("(2,1,3)")
+        number2.move_to(2.5*UP+ 4*LEFT)
+        number2.scale(1.2)
+        number2.set_color(ORANGE)
+
+        output2 = TextMobject(r"$ \begin{bmatrix} 4 \\ 6  \end{bmatrix}$")
+        #output2.scale(1.5)
+        output2.set_color(BLUE_C)
+        output2.move_to(3*RIGHT)
+
+        #eqn2_1 = TextMobject(r"f(2,1,3) = $2^2(1) + 2(1)(3)$")
+        #eqn2_1.set_color(YELLOW)
+
+        #eqn2_2 = TextMobject(r"f(2,1,3) = $2 + 6$")
+        #eqn2_2.set_color(YELLOW)
+
+
+        self.play(Write(eqn2))
+
+        self.wait()
+        self.play(ApplyMethod(number2.move_to, 3*LEFT))
+        self.play(FadeOut(number2))
+
+        #self.play(Transform(eqn2, eqn2_1))
+        #self.wait(1)
+        #self.play(Transform(eqn2, eqn2_2))
+        #self.wait(1)
+
+        self.play(ApplyMethod(output2.move_to, 2.5*DOWN+4*RIGHT))
+        self.wait()
+        self.play(Write(vector_function))
+        self.play(FadeOut(output2),FadeOut(eqn2), FadeOut(vector_function), FadeOut(rectangle))
+        self.wait()
\ No newline at end of file
-- 
cgit