Dosiero:Hermite poly.svg

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Hermite_poly.svg (16KB, MIME type: image/svg+xml)

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[edit] Summary

I made it with the following Gnuplot code:


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

set title "Hermite Polynomials"

# axis properties
set xrange [-3.5:6.5]
set yrange [-10:20]
set xzeroaxis linetype -1 linewidth 0.5
set yzeroaxis linetype -1 linewidth 0.5
set xlabel "x"
set ylabel "H_n (x)"
plot 1 ti "n = 0" with lines linewidth 2,\
     2x ti "n = 1" with lines linewidth 2,\
     x**2-1 ti "n = 2" with lines linewidth 2,\
     x**3-3*x ti "n = 3" with lines linewidth 2,\
     x**4-6*x**2+3 ti "n = 4" with lines linewidth 2,\
     x**5-10*x**3+15*x ti "n = 5" with lines linewidth 2

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

[edit] Licensing

I, the author 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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