File:Chapman function.svg
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Original file (SVG file, nominally 270 × 270 pixels, file size: 28 KB)
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Summary
| Description |
English: Graphs of the Chapman function |
||
| Source | Own work | ||
| Author | Maximilian Reininghaus | ||
| Permission (Reusing this file) |
|
Source code
import numpy as np
import scipy.integrate
import matplotlib.pyplot as plt
@np.vectorize
def chapman(x, theta):
f = lambda l, x, theta: np.exp(-(np.sqrt(x**2 + l**2 + 2*l*x*np.cos(theta)) - x))
result, err = scipy.integrate.quad(f, 0, np.inf, args=(x, theta))
return result
th = np.linspace(0, 90, 200)
fig, ax = plt.subplots(dpi=200, figsize=(3,3))
ax.set(yscale="log", ylim=(1, 3e2), xlim=(0, 90), xlabel="$z$", ylabel=r"$\mathrm{ch}(x,z)$")
ax.xaxis.set_major_formatter('{x:.0f}°')
for x in np.logspace(4, 0, 5):
ch = chapman(x, np.deg2rad(th))
ax.plot(th, ch, label=f"$x = 10^{{{np.log10(x):.0f}}}$", lw=2)
ax.legend(loc="upper left", fontsize="small")
fig.tight_layout()
fig.savefig("chapman_function.svg")
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:12, 4 April 2022 | | 270 × 270 (28 KB) | Maximilian Reininghaus | {{Information |Description = {{en|1=Graphs of the Chapman function}} |source ={{own}} |author =Maximilian Reininghaus |permission ={{FAL-1.3}} }} Category:Special functions |
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