File:Hermite poly.svg

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Summary

Description

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,\
     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

Then I postprocessed with Sodipodi to change the stroke style of each line.
Date
Source own work
 
This W3C-unspecified plot was created with Gnuplot.
Author Alessio Damato

Licensing

I, the copyright holder 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.
w:en:Creative Commons
attribution share alike
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.
This licensing tag was added to this file as part of the GFDL licensing update.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic 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.
You may select the license of your choice.

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depicts

April 2006

File history

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Date/TimeThumbnailDimensionsUserComment
current12:42, 4 May 2018Thumbnail for version as of 12:42, 4 May 2018600 × 480 (7 KB)wikimediacommons>GKFXMake plot of y = x straight.