File:Graph of argument of square root of complex variable -pi to pi.png
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editDescriptionGraph of argument of square root of complex variable -pi to pi.png |
English: Graph of complex square root. x and y axes are real and imaginary parts of the complex variable and the z axis is the argument of the square root. The argument of the complex variable goes from to . This shows the discontinuity along the negative x axis. |
Date | |
Source | Own work |
Author | Dom walden |
PNG development InfoField | This plot was created with Matplotlib. |
Source code InfoField | Python codeimport numpy as np
import matplotlib.pyplot as plt
ax = plt.figure().add_subplot(projection='3d')
alternate = 'blue'
for r in np.linspace(0, 2, 50):
theta = np.linspace(-np.pi, np.pi, 1000)
z = np.angle(np.sqrt(r * np.exp(theta * 1j)))
x = r * np.cos(theta)
y = r * np.sin(theta)
ax.plot(x, y, z, alternate, alpha=0.7)
alternate = 'black' if alternate == 'blue' else 'blue'
ax.set_xlabel('Re(z)')
ax.set_ylabel('Im(z)')
plt.rcParams['text.usetex'] = True
ax.set_zlabel('$arg(\sqrt{z})$')
plt.show()
|
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 07:15, 13 August 2023 | 894 × 740 (267 KB) | Dom walden (talk | contribs) | Uploaded own work with UploadWizard |
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