File:BesselJ plot.svg

Original file (SVG file, nominally 600 × 480 pixels, file size: 19 KB)

Summary

Description

Plot of the Bessel functions of first kind in red, in green and in blue. The plot was produced running Gnuplot

the file "besselJ.dat" contains the values of the Bessel functions and can be produced with the following Octave commands:

t = 0:0.01:20;
J = [ t; besselj(0,t); besselj(1,t); besselj(2,t) ];
J = J';
save -ascii "besselJ.dat" J;
It was then post-processed with Inkscape; I had to modify the source manually as well using a text editor to fix the subscripts.
Date
Source Own work (Original text: own work)
Author Alessio Damato
Other versions

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SVG development
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This chart was created with Gnuplot.
 
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Source code
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Gnuplot code

set terminal svg
set output "BesselJ_plot.svg"
set title "Bessel functions of 1st kind"
set xlabel "x"
set ylabel "J_n(x)"
set xrange [0:20]
set yrange [-0.5:1]
set xzeroaxis linetype -1 linewidth 0.5
set yzeroaxis linetype -1 linewidth 0.5
set xtics axis
set ytics axis
plot "besselJ.dat" using 1:2 title "J_0(x)" with lines linewidth 2, \
     "besselJ.dat" using 1:3 title "J_1(x)" with lines linewidth 2, \
     "besselJ.dat" using 1:4 title "J_2(x)" with lines linewidth 2

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This licensing tag was added to this file as part of the GFDL licensing update.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.

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depicts

April 2006

image/svg+xml

f59589fe8c0555d7c1c0d9dc11d777370e6c60f3

19,613 byte

480 pixel

600 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current01:27, 2 January 2009Thumbnail for version as of 01:27, 2 January 2009600 × 480 (19 KB)Geek3accurate plot-lines
12:12, 26 April 2006Thumbnail for version as of 12:12, 26 April 2006600 × 480 (93 KB)Alejo2083hopefully the final version
18:10, 25 April 2006Thumbnail for version as of 18:10, 25 April 2006600 × 480 (44 KB)Alejo2083another subscript test
17:48, 25 April 2006Thumbnail for version as of 17:48, 25 April 2006600 × 480 (42 KB)Alejo2083reverted to previous version (the test did not work)
17:44, 25 April 2006Thumbnail for version as of 17:44, 25 April 2006600 × 480 (43 KB)Alejo2083test with subscripts
12:13, 12 October 2005Thumbnail for version as of 12:13, 12 October 2005600 × 480 (42 KB)Alejo2083 Plot of the Bessel functions of first kind <math>J_0(x)</math> in red, <math>J_1(x)</math> in green and <math>J_2(x)</math> in blue. The plot was produced running Gnuplot on the following code: <pre> set terminal

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