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File:Maxwell-Boltzmann distribution cdf.svg

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Description
English: Cumulative distribution function of Maxwell-Boltzmann distribution
Date
Source Own work
Author Krishnavedala
 
W3C-validity not checked.
Python source code
from scipy.special import erf
from numpy import *
from matplotlib.pyplot import *
cdf = lambda a,x: erf(x/(a*sqrt(2.))) - (x*exp(-x*x/(2*a*a))*sqrt(2/pi)/a)
fig = figure(figsize=(5,5))
ax = fig.add_subplot(111)
ax.grid(True)
ax.minorticks_on()
x = linspace(.001,20,150)
ax.plot(x,cdf(1,x),label=r"a=1",linewidth=2)
ax.plot(x,cdf(2,x),'r',label=r"a=2",linewidth=2)
ax.plot(x,cdf(5,x),'g',label=r"a=5",linewidth=2)
ax.set_ylim(0,1.05)
ax.set_xlim(0,20)
ax.set_xlabel(r'x')
ax.set_ylabel(r'CDF')
ax.legend(loc=4)
fig.savefig("Maxwell-Boltzmann_distribution_cdf.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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Date/TimeThumbnailDimensionsUserComment
current01:07, 22 November 2020Thumbnail for version as of 01:07, 22 November 2020360 × 288 (33 KB)AkanoToE (talk | contribs)Updated fonts with LaTeX
05:49, 7 August 2013Thumbnail for version as of 05:49, 7 August 2013429 × 418 (36 KB)Nanite (talk | contribs)fixed "PDF" label. licensing remains public domain.
18:49, 11 October 2012Thumbnail for version as of 18:49, 11 October 2012428 × 418 (37 KB)Krishnavedala (talk | contribs)User created page with UploadWizard

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