File:BesselI plot.svg

Original file (SVG file, nominally 600 × 480 pixels, file size: 16 KB)

Summary

Description

Plot of the modified Bessel functions of 1st kind in red, in green and in blue. The plot was produced running Gnuplot on the following code:

set terminal svg
set output "BesselI_plot.svg"
set title "Modified Bessel function of first kind"
set xlabel "x"
set ylabel "I_n(x)"
set xrange [0:4]
set yrange [0:4]
set xzeroaxis linetype -1 linewidth 0.5
set yzeroaxis linetype -1 linewidth 0.5
set xtics axis
set ytics axis
set key off
plot "besseli.dat" using 1:2 title "I_0(x)" with lines linewidth 2, \
     "besseli.dat" using 1:3 title "I_1(x)" with lines linewidth 2, \
     "besseli.dat" using 1:4 title "I_2(x)" with lines linewidth 2

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

t=0:0.001:4;
I = [t; besseli(0,t); besseli(1,t); besseli(2,t)];
I = I';
save -ascii "besseli.dat" I;
It was then post-processed with Inkscape.
Date
Source own work
 
This W3C-unspecified plot was created with Gnuplot.
Author Alessio Damato

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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April 2006

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ab54c77e01269d8c9af19392b157bce075ca390d

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480 pixel

600 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current00:18, 28 December 2008Thumbnail for version as of 00:18, 28 December 2008600 × 480 (16 KB)Geek3accurate plot-lines
16:23, 26 April 2006Thumbnail for version as of 16:23, 26 April 2006600 × 480 (37 KB)Alejo2083proper index (like other plots)
20:09, 14 March 2006Thumbnail for version as of 20:09, 14 March 2006600 × 480 (37 KB)Stevenjcorrected plot labels
19:17, 27 January 2006Thumbnail for version as of 19:17, 27 January 2006600 × 480 (37 KB)Alejo2083another improved version (colored text)
19:52, 25 January 2006Thumbnail for version as of 19:52, 25 January 2006600 × 480 (37 KB)Alejo2083improved version
16:47, 25 January 2006Thumbnail for version as of 16:47, 25 January 2006600 × 480 (37 KB)Alejo2083improved version
14:21, 13 October 2005Thumbnail for version as of 14:21, 13 October 2005600 × 480 (31 KB)Alejo2083 Plot of the modified Bessel functions of 1st kind <math>I_0(x)</math> in red, <math>I_1(x)</math> in green and <math>I_2(x)</math> in blue. The plot was produced running Gnuplot on the following code: <pre> set te

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