Image:Legendre poly.svg
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Legendre_poly.svg (SVG file, nominally 600 × 480 pixels, file size: 19 KB)
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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. |
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| Source | own work
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| Date |
April 2006 |
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| Author | |||
| Permission (Reusing this image) |
see below |
[edit] Licensing
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 16:31, 26 April 2006 | 600×480 (19 KB) | Alejo2083 | (improved) |
| 09:30, 21 November 2005 | 600×480 (16 KB) | 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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