Image:Log-factorial.PNG

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Log-factorial.PNG‎ (600 × 464 pixel, file size: 24 KB, MIME type: image/png)

Plot of the natural logarithm of the factorial function (strictly speaking it's the gamma function)

Created with the following gnuplot script:

set samples 1001
set terminal postscript enhanced color solid lw 2 "Times-Roman" 27
set output
set key left
set grid
plot [0:20000] lgamma(x+1) title "ln(x!)"

Shell script for conversion to PNG format:

#! /bin/sh
set -e
TMPFILE=`mktemp gp2png-temp.XXXXXX`

gnuplot $1 |
gs -q -dNOPAUSE -dBATCH -sDEVICE=ppmraw -r200 -sOutputFile=- -f - |
pnmrotate -90 |
pnmscale 0.27272727272727 |
pnmtopng > $TMPFILE

pngcrush -brute $TMPFILE `basename $1 .gp`.png
rm -f $TMPFILE

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.
Subject to disclaimers.

This work is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or any later version.

This work is distributed in the hope that it will be useful, but without any warranty; without even the implied warranty of merchantability or fitness for a particular purpose. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA

File history

Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.
Click on date to download the file or see the image uploaded on that date.

(del) (cur) 11:01, 31 December 2004 . . MarkSweep (Talk | contribs) . . 600×464 (24,891 bytes) (prettier version of existing file)
(del) (rev) 09:39, 2 November 2004 . . JebeddiahSpringfield (Talk | contribs) . . 319×241 (5,617 bytes) (I made this myself in Microsoft Excel. I hereby release it into the Public Domain.)