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

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

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

Description
English: Illustration that the signum function is not continuous at the point with and .
Date
Source Own work
Author Who2010
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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

def save_plot(filename, bound, eps, delta):
	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([0,0],[1,-1], "o", color="white")
	ax.plot([0], [0], "o", color="green")

	plt.savefig(filename)

save_plot("Illustration of discontinuity with sgn(x).svg", bound=2, eps=0.5, delta=0.5)
save_plot("Illustration of discontinuity with sgn(x) (version 2).svg", bound=2, eps=0.5, delta=1)

Licensing

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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17 February 2017

20,229 byte

540 pixel

720 pixel

image/svg+xml

4b9097fed1c691c25d66139530573fbdd4c051b4

File history

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Date/TimeThumbnailDimensionsUserComment
current19:00, 9 March 2017Thumbnail for version as of 19:00, 9 March 2017720 × 540 (20 KB)wikimediacommons>Stephan Kullaupdate