Image:Legendre poly.svg

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Legendre_poly.svg‎ (600 × 480 pixel, file size: 19 KB, MIME type: image/svg+xml)

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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

see below

[edit] Licensing

I, the author of this work, hereby publish it under the following licenses:

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".