File:Cauchy sequence illustration.svg
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Original file (SVG file, nominally 305 × 170 pixels, file size: 50 KB)
Summary
| Description |
English: Illustration of Cauchy sequence. Created using python with numpy and matplotlib toolkits. Based on the file: File:Cauchy_sequence_illustration.png. |
| Date | |
| Source | Own work |
| Author | Krishnavedala |
| Python source | click to expand
from matplotlib.pyplot import *
from mpl_toolkits.axes_grid.axislines import SubplotZero
from numpy import arange, sin, exp
x1 = arange(0.,9.1,.05)
x2 = arange(0.,9.6,.1)
z = lambda x: 3.*exp(-.4*x)
y = lambda x: sin(5.*x) * z(x)
fig = figure(figsize=(4,2))
ax = SubplotZero(fig,111)
fig.add_subplot(ax)
ax.axis["top"].set_visible(False)
ax.axis["right"].set_visible(False)
ax.axis["left"].set_axisline_style("->")
ax.axis["bottom"].set_axisline_style("->")
ax.set_yticks([])
ax.set_xticks([])
ax.set_xlim(-1,10)
ax.set_ylim(-3,3)
ax.plot(x1,y(x1),'bo',ms=2.5)
ax.plot(x2, z(x2),'r--',lw=1.5)
ax.plot(x2,-z(x2),'r--',lw=1.5)
ax.text(10,-2.8,u'$n$')
ax.text(-.75,3,u'$X_n$')
fig.savefig("Cauchy_sequence_illustration.svg",bbox_inches="tight",pad_inches=.15)
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Licensing
I, the copyright holder of this work, hereby publish it under the following licence:
 
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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 neighbouring 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 | 09:54, 9 September 2011 | | 305 × 170 (50 KB) | wikimediacommons>Krishnavedala |
File usage
The following 3 pages use this file:
