File:Laguerre poly.svg
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Size of this PNG preview of this SVG file: 600 × 480 pixels. Other resolutions: 300 × 240 pixels | 960 × 768 pixels | 1,280 × 1,024 pixels | 2,560 × 2,048 pixels.
Original file (SVG file, nominally 600 × 480 pixels, file size: 15 KB)
Summary
| Description |
I made it with the following Gnuplot code: Then I postprocessed with Inkscape to change the stroke style of each line. |
| Date | |
| Source | Own work |
| Author | Alessio Damato |
| Other versions | Derivative works of this file: Laguerre polynom ru.svg |
| SVG development |  and with Inkscape.  This plot uses embedded text that can be easily translated using a text editor (<switch> option recommended). |
| Source code | Gnuplot code# set the output
set terminal svg
set output "laguerre_poly.svg"
set title "Laguerre Polynomials"
# axis properties
set xrange [-5:20]
set yrange [-10:20]
set xzeroaxis linetype -1 linewidth 0.5
set yzeroaxis linetype -1 linewidth 0.5
set xlabel "x"
set ylabel "L_n (x)"
plot 1 ti "n = 0" with lines linewidth 2,\
-x+1 ti "n = 1" with lines linewidth 2,\
(x**2-4*x+2)/2 ti "n = 2" with lines linewidth 2,\
(-x**3+9*x**2-18*x+6)/6 ti "n = 3" with lines linewidth 2,\
(x**4-16*x**3+72*x**2-96*x+24)/24 ti "n = 4" with lines linewidth 2,\
(-x**5+25*x**4-200*x**3+600*x**2-600*x+120)/120 ti "n = 5" with lines linewidth 2
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Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
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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. |
  
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | |
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| This licensing tag was added to this file as part of the GFDL licensing update. |
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.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:30, 26 April 2006 | | 600 × 480 (15 KB) | wikimediacommons>Alejo2083 | improved |
File usage
The following page uses this file:
