Bách khoa toàn thư mở Wikipedia
[edit] Summary
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.
[edit] Licensing
I, the author of this work, hereby publish it under the following licenses:
You may select the license of your choice.
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