File:Illustration of discontinuity with sgn(x) (version 3).svg

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Original file (SVG file, nominally 720 × 540 pixels, file size: 20 KB)

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Summary

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Description
English: Illustration that the signum function is not continuous at the point with and . The point is marked red.
Date
Source Own work
Author Stephan Kulla (User:Stephan Kulla)
Other versions
  • '"`UNIQ--postMath-00000005-QINU`"' and '"`UNIQ--postMath-00000006-QINU`"'
    and
  • '"`UNIQ--postMath-00000007-QINU`"' and '"`UNIQ--postMath-00000008-QINU`"'
    and
  • '"`UNIQ--postMath-00000009-QINU`"' and '"`UNIQ--postMath-0000000A-QINU`"' and marked '"`UNIQ--postMath-0000000B-QINU`"'
    and and marked
  • '"`UNIQ--postMath-0000000C-QINU`"' and '"`UNIQ--postMath-0000000D-QINU`"'
    and
SVG development
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The SVG code is valid.
 
This plot was created with Matplotlib.
Source code
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Python code

from matplotlib.patches import Rectangle

import matplotlib.pyplot as plt
import numpy as np

bound=2
eps=0.5
delta=0.5

f, ax = plt.subplots()

ax.axhline(color="black")
ax.axvline(color="black")

ax.set_xlim(-bound,bound)
ax.set_ylim(-2,2)

ax.add_patch(
	Rectangle((-delta,-eps), 2*delta, 2*eps, edgecolor="black",
	          alpha=0.6, linestyle="solid", facecolor="#dddddd", lw=1.5))

ax.plot([-bound,0],[-1,-1], color="blue")
ax.plot([0,bound],[1,1], color="blue")

ax.plot([-delta,0],[-1,-1], color="red", lw=2)
ax.plot([0,delta],[1,1], color="red", lw=2)
ax.plot([delta/2], [1], "o", color="red", lw=2)

ax.plot([0,0],[1,-1], "o", color="white")
ax.plot([0], [0], "o", color="green")

plt.savefig("Illustration of discontinuity with sgn(x) (version 3).svg")

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero 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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Date/TimeThumbnailDimensionsUserComment
current17:58, 9 March 2017Thumbnail for version as of 17:58, 9 March 2017720 × 540 (20 KB)Stephan Kulla (talk | contribs)update
17:50, 9 March 2017Thumbnail for version as of 17:50, 9 March 2017720 × 540 (20 KB)Stephan Kulla (talk | contribs)User created page with UploadWizard

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