File:Area under rectangular hyperbola.svg
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Original file (SVG file, nominally 540 × 540 pixels, file size: 62 KB)
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This is a file from the Wikimedia Commons. The description on its description page there is shown below.
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Summary
| Description |
English: The five coloured regions are of equal area, and define units of hyperbolic angle along the hyperbola xy = 1
Português: As cinco regiões coloridas possuem a mesma área, e definem unidades de ângulo hiperbólico junto com a hipérbole xy = 1 |
| Date | |
| Source |
Own work  This plot was created with Matplotlib. |
| Author | Vinickw & Lenin.castilhos |
Matplotlib (Python)
# Author: Vinickw, 2023-12-14
import matplotlib.pyplot as plt
import numpy as np
def f(x):
return 1/x
x = np.linspace(0.01, 8, 1000)
y = f(x)
fig, ax = plt.subplots(figsize=(6, 6))
ax.plot(x, y)
ax.set_xlim(0, 8)
ax.set_ylim(0, 8)
plt.xticks([1,np.e,np.exp(2)],labels=["1","e","e^2"])
plt.yticks([1,np.e,np.exp(2)],labels=["1","e","e^2"])
plt.fill_between(x, 1, where=(x>=0) & (x<=1),color='blue', alpha=0.2)
plt.fill_between(x, y, where=(x>1) & (x<=np.e),color='red', alpha=0.2)
plt.fill_betweenx(x, y, where=(x>1) & (x<=np.e),color='red', alpha=0.2)
plt.fill_between(x, y, where=(x>np.e) & (x<=np.exp(2)),color='blue', alpha=0.2)
plt.fill_betweenx(x, y, where=(x>np.e) & (x<=np.exp(2)),color='blue', alpha=0.2)
plt.plot(x, y, color="blue")
plt.savefig("xy=1.svg", format='svg')
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- 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.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
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| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 04:27, 15 December 2023 | 540 × 540 (62 KB) | Vinickw | removed white background |
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