File:Maxwell-Boltzmann distribution cdf.svg
Size of this PNG preview of this SVG file: 360 × 288 pixels. Other resolutions: 300 × 240 pixels | 600 × 480 pixels | 750 × 600 pixels | 960 × 768 pixels | 1,280 × 1,024 pixels.
Original file (SVG file, nominally 360 × 288 pixels, file size: 33 KB)
|
This is a file from the Wikimedia Commons. The description on its description page there is shown below.
|
Summary
| 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)
LicensingI, the copyright holder of this work, hereby publish it under the following license:
|
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 17:07, 21 November 2020 | 360 × 288 (33 KB) | AkanoToE | Updated fonts with LaTeX |
File usage
The following page uses this file:
