File:Hermite poly solid.svg

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Original file(SVG file, nominally 600 × 480 pixels, file size: 15 KB)

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Description

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 W3C-unspecified plot was created with Gnuplot.


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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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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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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Date/TimeThumbnailDimensionsUserComment
current19:32, 30 March 2009Thumbnail for version as of 19:32, 30 March 2009600 × 480 (15 KB)Vulpecula (talk | contribs){{Information |Description=I made it with the following Gnuplot code: <pre> # 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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