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Delete Book4_Ch12_Python_Codes directory

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Iris Series: Visualize Math -- From Arithmetic Basics to Machine Learning
2025-02-01 17:01:47 +08:00
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54
Book4_Ch12_Python_Codes/Bk4_Ch12_01.py
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###############
# Authored by Weisheng Jiang
# Book 4 | From Basic Arithmetic to Machine Learning
# Published and copyrighted by Tsinghua University Press
# Beijing, China, 2022
###############
# Bk4_Ch12_01.py
import numpy as np
from matplotlib import pyplot as plt
x1 = np.arange(-2,2,0.05)
x2 = np.arange(-2,2,0.05)
xx1_fine, xx2_fine = np.meshgrid(x1,x2)
a = 0; b = -1; c = 0;
yy_fine = a*xx1_fine**2 + 2*b*xx1_fine*xx2_fine + c*xx2_fine**2
# 3D visualization
fig, ax = plt.subplots()
ax = plt.axes(projection='3d')
ax.plot_wireframe(xx1_fine,xx2_fine,yy_fine,
color = [0.8,0.8,0.8],
linewidth = 0.25)
ax.contour3D(xx1_fine,xx2_fine,yy_fine,15,
cmap = 'RdYlBu_r')
ax.view_init(elev=30, azim=60)
ax.xaxis.set_ticks([])
ax.yaxis.set_ticks([])
ax.zaxis.set_ticks([])
plt.tight_layout()
ax.set_proj_type('ortho')
plt.show()
# 2D visualization
fig, ax = plt.subplots()
ax.contourf(xx1_fine,xx2_fine,yy_fine,15,
cmap = 'RdYlBu_r')
ax.xaxis.set_ticks([])
ax.yaxis.set_ticks([])
ax.set_aspect('equal')
plt.show()

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Book4_Ch12_Python_Codes/Bk4_Ch12_02.py
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###############
# Authored by Weisheng Jiang
# Book 4 | From Basic Arithmetic to Machine Learning
# Published and copyrighted by Tsinghua University Press
# Beijing, China, 2022
###############
# Bk4_Ch12_02.py
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
import numpy as np
import math as m
cos_theta_12 = np.cos(m.radians(135))
cos_theta_13 = np.cos(m.radians(60))
cos_theta_23 = np.cos(m.radians(120))
P = np.array([[1, cos_theta_12, cos_theta_13],
[cos_theta_12, 1, cos_theta_23],
[cos_theta_13, cos_theta_23, 1]])
L = np.linalg.cholesky(P)
R = L.T
fig = plt.figure()
ax = fig.add_subplot(projection='3d')
plt.plot(0,0,0,color = 'r', marker = 'x',
markersize = 12)
colors = ['b', 'r', 'g']
for i in np.arange(0,3):
vector = R[:,i]
v = np.array([vector[0],vector[1],vector[2]])
vlength=np.linalg.norm(v)
ax.quiver(0,0,0,vector[0],vector[1],vector[2],
length=vlength, color = colors[i])
ax.set_xlim([-1,1])
ax.set_ylim([-1,1])
ax.set_zlim([-1,1])
ax.set_xlabel('x')
ax.set_ylabel('y')
ax.set_zlabel('z')
ax.xaxis.set_ticklabels([])
ax.yaxis.set_ticklabels([])
ax.zaxis.set_ticklabels([])
ax.view_init(35, 60)
ax.set_proj_type('ortho')
ax.set_box_aspect([1,1,1])