File:Contour graph of generating function for surjections.png
| Uploaded by | Dom walden |
|---|---|
| Upload date | 2025-06-17T19:17:08Z |
| MIME type | image/png |
| Dimensions | 640 × 480 px |
| File size | 13.2 KB |
Summary
| Description |
English: The generating function for surjections , for complex . The axes are the real and imaginary part of and the colour saturation is the modulus of the function. |
| Date | |
| Source | Own work |
| Author | Dom walden |
| PNG development |  This plot was created with Matplotlib. |
| Source code | Python codeimport matplotlib.pyplot as plt
from matplotlib import cm
import numpy as np
def f(z):
return 1 / (2 - np.exp(z))
X = np.linspace(-20, 20, 100)
Y = np.linspace(-20, 20, 100)
X, Y = np.meshgrid(X, Y)
Z = abs(f(X+Y*1j))
levels = np.linspace(-1, Z.max(), 20)
fig, ax = plt.subplots()
ax.contourf(X, Y, Z, levels=levels, cmap=cm.Blues)
ax.set_xlabel('Re')
ax.set_ylabel('Im')
plt.tight_layout()
plt.savefig("surjections_contour.png")
|
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