File:Stolz sector plot.svg
| Uploaded by | Cosmia Nebula |
|---|---|
| Upload date | 2023-08-04T03:33:47Z |
| MIME type | image/svg+xml |
| Dimensions | 900 × 900 px |
| File size | 117.9 KB |
Summary
| Description |
English: 20 Stolz sectors for M = 1.01 to 10.
Pythonimport numpy as np
import matplotlib.pyplot as plt
M_values = np.linspace(1.01, 10, 20)
fig, ax = plt.subplots(1, 1, figsize=(10, 10))
for M in M_values:
x = np.linspace((1-M)/(1+M)+1e-6, 1-1e-6, 1000)
y = -(M**4 * (x**2 - 1) - 2 * M**2 * ((x - 1) * x + 1) + 2 * np.sqrt(M**4 * (-2 * M**2 * (x - 1) + 2 * x - 1)) + (x - 1)**2)/(M**2 - 1)**2
y = np.sqrt(y)
ax.plot(x, y, color='blue', alpha=0.5)
ax.plot(x, -y, color='blue', alpha=0.5)
xmin = 0.4
ax.plot([xmin, 1], [(x-1) * np.tan(np.arccos(1/M)) for x in [xmin, 1]], 'r-', alpha=0.2)
ax.plot([xmin, 1], [-(x-1) * np.tan(np.arccos(1/M)) for x in [xmin, 1]], 'r-', alpha=0.2)
plt.gca().add_patch(plt.Circle((0, 0), 1, fill=False))
plt.xlim(-1.01,1.01)
plt.ylim(-1.01,1.01)
plt.show()
plt.savefig('plot.svg', format='svg')
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| Date | |
| Source | Own work |
| Author | Cosmia Nebula |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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