File:Stolz sector plot.svg
Original file (SVG file, nominally 900 × 900 pixels, file size: 118 KB)
Captions
Summary
[edit]DescriptionStolz sector plot.svg |
English: 20 Stolz sectors for M = 1.01 to 10.
```python import 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') ``` |
Date | |
Source | Own work |
Author | Cosmia Nebula |
Licensing
[edit]- 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.
This media file is uncategorized.
Please help improve this media file by adding it to one or more categories, so it may be associated with related media files (how?), and so that it can be more easily found.
Please notify the uploader with {{subst:Please link images|File:Stolz sector plot.svg}} ~~~~ |
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 03:33, 4 August 2023 | 900 × 900 (118 KB) | Cosmia Nebula (talk | contribs) | accidentally the Emperor's new plot | |
03:32, 4 August 2023 | 576 × 432 (1 KB) | Cosmia Nebula (talk | contribs) | Uploaded while editing "Abel's theorem" on en.wikipedia.org |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikipedia.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Width | 720pt |
---|---|
Height | 720pt |