File:Saddle_point.svg
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Size of this PNG preview of this SVG file: 575 × 449 pixels. Other resolutions: 307 × 240 pixels | 615 × 480 pixels | 984 × 768 pixels | 1,280 × 1,000 pixels | 2,560 × 1,999 pixels.
Original file (SVG file, nominally 575 × 449 pixels, file size: 221 KB)
This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
DescriptionSaddle point.svg | Saddle point with the coordinates of . |
Date | |
Source | Own work |
Author | Nicoguaro |
SVG development InfoField | This plot was created with Matplotlib. |
Source code InfoField | Python codeimport numpy as np
from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as plt
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
plot_args = {'rstride': 1, 'cstride': 1, 'cmap':"Blues_r",
'linewidth': 0.4, 'antialiased': True,
'vmin': -1, 'vmax': 1}
x, y = np.mgrid[-1:1:31j, -1:1:31j]
z = x**2 - y**2
ax.plot_surface(x, y, z, **plot_args)
ax.plot([0], [0], [0], 'ro')
ax.view_init(azim=-60, elev=30)
ax.set_xlim(-1, 1)
ax.set_ylim(-1, 1)
ax.set_zlim(-1, 1)
plt.xticks([-1, -0.5, 0, 0.5, 1],
[r"$-1$", r"$-1/2$", r"$0$", r"$1/2$", r"$1$"])
plt.yticks([-1, -0.5, 0, 0.5, 1],
[r"$-1$", r"$-1/2$", r"$0$", r"$1/2$", r"$1$"])
ax.set_zticks([-1, -0.5, 0, 0.5, 1])
ax.set_zticklabels([r"$-1$", r"$-1/2$", r"$0$", r"$1/2$", r"$1$"])
ax.w_xaxis.set_pane_color((1.0, 1.0, 1.0, 0.0))
ax.w_yaxis.set_pane_color((1.0, 1.0, 1.0, 0.0))
ax.w_zaxis.set_pane_color((1.0, 1.0, 1.0, 0.0))
plt.savefig("Saddle_point.svg", bbox_inches="tight", transparent=True)
plt.show()
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Licensing
This file is licensed under the Creative Commons Attribution 3.0 Unported 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.
Original upload log
This image is a derivative work of the following images:
- File:Saddle point.png licensed with PD-self
- 2008-04-12T05:46:35Z Oleg Alexandrov 978x813 (272227 Bytes) crop
- 2006-10-03T22:00:41Z Kieff 1280x960 (297670 Bytes) [[w:Saddle point|Saddle point]] on the surface x^2 - y^2 = z (z being the vertical axis). Rendered by me using [[w:POV-Ray]].
- 2004-12-05T05:00:29Z Ævar Arnfjörð Bjarmason 626x463 (15353 Bytes) new version by Kieff
- 2004-12-05T03:51:04Z Ævar Arnfjörð Bjarmason 558x412 (13919 Bytes)
Uploaded with derivativeFX
Items portrayed in this file
depicts
17 May 2016
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 00:23, 18 May 2016 | 575 × 449 (221 KB) | Nicoguaro | Add the saddle point over the surface | |
00:18, 18 May 2016 | 575 × 449 (220 KB) | Nicoguaro | * Smaller size. * Color of the surface corresponds with the height of each point. * Mesh over the surface. | ||
20:07, 7 August 2012 | 512 × 384 (10.4 MB) | Zerodamage | == {{int:filedesc}} == {{Information |Description=Saddle point with the coordinates of <math>z=x^2-y^2</math> by Kieff. |Source={{Derived from|Saddle_point.png|display=50}} |Date=2012-08-07 20:01 (UTC) |Author=*[[:File:Saddle_poi... |
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Metadata
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If the file has been modified from its original state, some details may not fully reflect the modified file.
Width | 460pt |
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Height | 359pt |
Retrieved from "https://en.wikipedia.org/wiki/File:Saddle_point.svg"