Encyclopedia > Image:Lpoly.png

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Image:Lpoly.png

Graph of legendre polynomials, generated by the following commands in gnuplot:

 set xrange [-1:1]
 set yrange [-1:2]
 set xlabel "x"
 set ylabel "P_n (x)"
 plot 1 ti "n = 0", x ti "n = 1", (3*x**2-1)/2 ti "n = 2", (5*x**3-3*x)/2 ti "n = 3", (35*x**4-30*x**2+3)/8 ti "n = 4", (63*x**5-70*x**3+15*x)/8 ti "n = 5"
 set terminal postscript eps enhanced color solid
 set output "lpoly.eps"
 replot

The eps was tweaked and converted to the PNG image format using the GIMP.

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