File:Gauss-Hermite quadrature weights.svg

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Original file (SVG file, nominally 400 × 700 pixels, file size: 19 KB)

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Summary

Description
English: Gauss-Hermite quadrature: weights wi versus abscissae xi for four choices of the numbers of points n. Created using en:Gnuplot with the following commands:
set terminal svg enhanced  size 400 700  linewidth 2 font "Arial,12 " 
set output "ghq.svg"

set style line 1 linewidth 0 pointtype 7 linecolor 3
set style line 2 linewidth 0.3 linecolor 0
set ytics 0.5 out nomirror
unset xtics
set grid ytics linestyle 2
set key off

set multiplot
unset label

set label "n = 5" at -4.5, 0.65 font "Times, 20"
set tmargin at screen 0.98
set bmargin at screen 0.78
plot [x=-5:5][-.1:1.1] 'ghq5.txt' using 1:2 ls 1
unset label

set label "n = 10" at -4.5, 0.65 font "Times, 20"
set tmargin at screen 0.75
set bmargin at screen 0.55
plot [x=-5:5][-.1:1.1] 'ghq10.txt' using 1:2 ls 1
unset label

set label "n = 15" at -4.5, 0.65 font "Times, 20"
set tmargin at screen 0.52
set bmargin at screen 0.32
plot [x=-5:5][-.1:1.1] 'ghq15.txt' using 1:2 ls 1
unset label

set label "n = 20" at -4.5, 0.65 font "Times, 20"
set tmargin at screen 0.29
set bmargin at screen 0.09
set xtics out nomirror scale 1
set xlabel "x" font "Times, 20"
plot [x=-5:5][-.1:1.1] 'ghq20.txt' using 1:2 ls 1
unset label
unset xlabel

unset multiplot
set output
Date
Source Own work
Author Qwfp

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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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inception

4 July 2010

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Date/TimeThumbnailDimensionsUserComment
current22:30, 4 July 2010Thumbnail for version as of 22:30, 4 July 2010400 × 700 (19 KB)wikimediacommons>Qwfp{{Information |Description={{en|1=Gauss-Hermite quadrature: weights w versus abscissae x for various values of the numbers of points n}} |Source={{own}} |Author=Qwfp |Date=2010-07-04 |Permission= |other_versions= }} [[Category:Numerical ana

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