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File:Cauchy sequence illustration.svg

Original file ‎(SVG file, nominally 305 × 170 pixels, file size: 50 KB)

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Description
English: Illustration of Cauchy sequence. Created using python with numpy and matplotlib toolkits. Based on the file: File:Cauchy_sequence_illustration.png.
Date
SourceOwn work
AuthorKrishnavedala
Python source
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from matplotlib.pyplot import *from mpl_toolkits.axes_grid.axislines import SubplotZerofrom numpy import arange, sin, expx1 = 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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9 September 2011

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Date/TimeThumbnailDimensionsUserComment
current04:24, 9 September 2011Thumbnail for version as of 04:24, 9 September 2011305 × 170 (50 KB)Krishnavedala
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