File:Cauchy sequence illustration.svg
Summary
| Description |
English: Illustration of Cauchy sequence. Created using python with numpy and matplotlib toolkits. Based on the file: Cauchy sequence illustration.png. |
| Date | |
| Source | Own work |
| Author | Krishnavedala |
| SVG development |
Source code
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)
Licensing
Krishnavedala, the copyright holder of this work, hereby publishes it under the following license:
  |
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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