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File:Cauchy sequence illustration.svg

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English: Illustration of Cauchy sequence. Created using python with numpy and matplotlib toolkits. Based on the file: File:Cauchy_sequence_illustration.png.
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Source Own work
Author Krishnavedala
Python source
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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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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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current04:24, 9 September 2011Thumbnail for version as of 04:24, 9 September 2011305 × 170 (50 KB)Krishnavedala (talk | contribs)

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