File:Hermite poly solid.svg
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The first five (probabilists') Hermite polynomials. Made with the following Gnuplot code written by Alessio Damato:# 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,\
x 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
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This is a retouched picture, which means that it has been digitally altered from its original version. Modifications: Changed strokes to solid lines rather than dashed lines. The original can be viewed here: Hermite poly.svg:  . Modifications made by Vulpecula.
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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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. |
Original upload log
This image is a derivative work of the following images:
- File:Hermite_poly.svg licensed with Cc-by-sa-2.5,2.0,1.0, GFDL
- 2006-04-26T16:29:40Z Alejo2083 600x480 (15470 Bytes) improved
- 2005-11-24T11:05:26Z Alejo2083 600x480 (13031 Bytes) I made it with the following [[:en:Gnuplot|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
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Category:Images with Gnuplot source code Category:Hermite polynomials