Image:Legendre poly.svg

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Legendre_poly.svg (Fichier SVG, résolution de 600 × 480 pixels, taille : 19 Kio)

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[edit] Summary

Description

I made it with the following Gnuplot code:


# set the output
set terminal svg
set output "legendre_poly.svg"

set title "Legendre Polynomials"

# axis properties
set xrange [-1:1]
set yrange [-1:2]
set xlabel "x"
set ylabel "P_n (x)"
plot 1 ti "n = 0" with lines linewidth 2,\
     x ti "n = 1" with lines linewidth 2,\
     (3*x**2-1)/2 ti "n = 2" with lines linewidth 2,\
     (5*x**3-3*x)/2 ti "n = 3" with lines linewidth 2,\
     (35*x**4-30*x**2+3)/8 ti "n = 4" with lines linewidth 2,\
     (63*x**5-70*x**3+15*x)/8 ti "n = 5" with lines linewidth 2

Then I postprocessed with Inkscape to change the stroke style of each line.

Source own work
This vector image was created with gnuplot.
Date

April 2006

Author

Alessio Damato

Permission
(Reusing this image)

see below


[edit] 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".

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This file is licensed under the Creative Commons Attribution ShareAlike license versions 2.5, 2.0, and 1.0

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Historique du fichier

Cliquer sur une date et une heure pour voir le fichier tel qu’il était à ce moment-là

Date et heureDimensionsUtilisateurCommentaire
actuel26 avril 2006 à 18:31600×480 (19 Kio)Alejo2083 (improved)
21 novembre 2005 à 11:30600×480 (16 Kio)Alejo2083 (I made it with the following Gnuplot code: <pre> # set the output set terminal svg set output "legendre.svg" set title "Legendre Polynomials" # axis properties set xrange [-1:1] set yrange [-1:2] set xlabel "x" set ylabel "P_n (x)" plo)

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