File:Example of a locally constant function with sgn(x).svg
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Size of this PNG preview of this SVG file: 731 × 551 pixels. Other resolutions: 319 × 240 pixels | 637 × 480 pixels | 1,019 × 768 pixels | 1,280 × 965 pixels | 2,560 × 1,930 pixels.
Original file (SVG file, nominally 731 × 551 pixels, file size: 24 KB)
Summary
| Description |
English: This diagram shows that the function is locally constant, i.e. for each argument there is a neighborhood where the function is constant. |
| Date | |
| Source | Own work |
| Author | Stephan Kulla (User:Stephan Kulla) |
| SVG development |  This plot was created with Matplotlib. |
| Source code | Python codeimport matplotlib.pyplot as plt
from mpl_toolkits.axes_grid1.inset_locator import zoomed_inset_axes, mark_inset
b = 4
f, ax = plt.subplots()
ax.axhline(color="black")
ax.axvline(color="black")
ax.set_xlim(-b,b)
ax.set_ylim(-2,2)
ax.plot([-b,0],[-1,-1], color="blue")
ax.plot([0,b],[1,1], color="blue")
ax.plot([0.15],[1],".",color="green")
ax.plot([0,0],[1,-1], "o", color="white")
axins = zoomed_inset_axes(ax,10,loc=4)
axins.plot([0.05,0.25],[1,1], color="blue")
axins.plot([0.15],[1],"o",color="green")
axins.set_xlim(0.05,0.25)
axins.set_ylim(0.95,1.05)
mark_inset(ax, axins, loc1=3, loc2=1, fc="0.95", ec="0.7")
plt.xticks(visible=False)
plt.yticks(visible=False)
plt.savefig("Example of a local constant function with sgn(x).svg")
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.svg){kind=link}
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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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 14:26, 23 April 2016 | | 731 × 551 (24 KB) | wikimediacommons>Stephan Kulla | better version |
File usage
The following page uses this file:
.svg){kind=link}