File:The function x*sin(1 over x).svg

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Original file (SVG file, nominally 575 × 431 pixels, file size: 152 KB)

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Summary

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Description
English: The function .
Date
Source Own work
Author Stephan Kulla (User:Stephan Kulla)
Other versions
  • Graph of function sin(1 over x)
    Graph of function sin(1 over x)
  • Discontinuity of function sin(1 over x) with sequence criterion
    Discontinuity of function sin(1 over x) with sequence criterion
  • Discontinuity of function sin(1 over x) with epsilon-delta criterion
    Discontinuity of function sin(1 over x) with epsilon-delta criterion
  • Graph of function x*sin(1 over x)
    Graph of function x*sin(1 over x)
  • Graph of function x^2*sin(1 over x)
    Graph of function x^2*sin(1 over x)
SVG development
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The SVG code is valid.
 
This diagram was created with Matplotlib.
Source code
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Python code

import matplotlib.pyplot as plt
import numpy as np

from mpl_toolkits.axes_grid1.inset_locator import zoomed_inset_axes, mark_inset

blue="#007ec1"

xs1 = np.linspace(-3, 3, 10001)
xs2=1/(np.arange(1.,1001,1.)*np.pi/2)

xs = np.union1d(np.union1d(xs1,xs2),-xs2)
ys = np.sin(1/xs)*xs

f, ax = plt.subplots()

ax.plot(xs,ys, color=blue)
ax.set_xlim(-2.5,2.5)
ax.set_ylim(-1.5,1.5)

axins = zoomed_inset_axes(ax,4,loc=4)
axins.plot(xs,ys)
axins.set_xlim(-0.2,0.2)
axins.set_ylim(-0.2,0.2)

mark_inset(ax, axins, loc1=3, loc2=1, fc="0.95", ec="0.7")

plt.xticks(visible=False)
plt.yticks(visible=False)

plt.savefig("The function x*sin(1 over x).svg")

Licensing

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Stephan Kulla (User:Stephan Kulla), the copyright holder of this work, hereby publishes 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
current18:35, 21 May 2018Thumbnail for version as of 18:35, 21 May 2018575 × 431 (152 KB)Stephan Kulla (talk | contribs)update
12:48, 23 April 2016Thumbnail for version as of 12:48, 23 April 2016731 × 551 (114 KB)Stephan Kulla (talk | contribs)better zoom
12:23, 23 April 2016Thumbnail for version as of 12:23, 23 April 2016731 × 551 (113 KB)Stephan Kulla (talk | contribs)User created page with UploadWizard

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