File:Pompeiu function.svg
| Uploaded by | Arami Mira |
|---|---|
| Upload date | 2021-10-11T21:57:51Z |
| MIME type | image/svg+xml |
| Dimensions | 576 × 432 px |
| File size | 17.6 KB |
Summary
| Description |
English: Graphic of Pompeiu function
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| Date | |
| Source | Own work |
| Author | Arami Mira |
| SVG development |  This diagram was created with Matplotlib. |
| Source code | Python codeimport numpy as np
import matplotlib.pyplot as plt
import math
def seriesFunction(center, x):
if x - center > 0:
return (x - center) ** (1/3)
else:
return -((center - x) ** (1/3))
def series(n, x):
q = 1.8
f = 1
s = 0
for i in range(2, n+1):
subs = 0
for j in range(1, i):
if math.gcd(i, j) == 1:
subs += seriesFunction(j/i, x)
s += subs / f
f *= q
return s
y = np.linspace(-0.1, 1.1, 5000)
x = [series(20, i) for i in y]
f, ax = plt.subplots()
ax.set_xlim(-4, 4)
ax.set_ylim(0, 1)
plt.plot(x, y)
plt.savefig("Pompeiu function.svg")
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Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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