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File:Bernoulli polynomials.svg

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Original file (SVG file, nominally 600 × 480 pixels, file size: 16 KB)

Summary

Description
English: Graph of the Bernoulli polynomials.

Original artwork by Linas Vepstas <linas@linas.org>

A version with the title removed is available as File:Bernoulli polynomials no title.svg.

Image generation info

Created with gnuplot using the directions

set term svg
set out 'Bernoulli_polynomials.svg'

set data style lines
set key top right
set xzeroaxis linetype -1 linewidth 2
set yzeroaxis linetype -1 linewidth 2
set xtics axis
set ytics axis

# set xrange [-0.5:1.5] 
set xrange [0:1]
unset border

set title "Bernoulli polynomials"

plot (x - 1.0/2.0) title "B_1" with lines linewidth 2, \
   (x*x - x + 1.0/6.0) title "B_2" with lines linewidth 2, \
   (x**3 - 3.0*x*x/2.0+x/2.0) title "B_3" with lines linewidth 2, \
   (x**4 - 2.0*x**3 + x*x - 1.0/30) title "B_4" with lines linewidth 2, \
   (x**5 - 5.0*(x**4)/2.0 + 5.0*(x**3)/3.0 - x/6.0) title "B_5" with lines linewidth 2, \
   (x**6 - 3.0*(x**5) + 5.0*(x**4)/2.0 - (x*x)/2.0 + 1.0/42.0) title "B_6" with lines linewidth 2
.
Date 22 December 2005 (original upload date)
Source Transferred from en.wikipedia to Commons.
Author The original uploader was Linas at English Wikipedia.
Other versions Derivative works of this file:  Bernoulli polynomials no title.svg

Licensing

w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. Subject to disclaimers.
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.
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. Subject to disclaimers.

Original upload log

The original description page was here. All following user names refer to en.wikipedia.
Date/Time Dimensions User Comment
2010-12-12 14:41 600×480× (16013 bytes) Linas adjust colors for better contrast
2010-12-11 18:28 600×480× (15939 bytes) Linas tweak y-axis, add B_1 back in
2010-12-11 18:13 600×480× (14895 bytes) Linas fix errors due to truncation by gnuplot; also change scale to emphasize convergence to sine/cosine
2005-12-22 01:29 600×480× (12554 bytes) Linas Graph of the [[Bernoulli polynomials]]. Original artwork by [[User:Linas|Linas]] Vepstas <linas@linas.org> Created with [[gnuplot]] using the directions set term svg set out 'bern.svg' set data style lines set key bottom right set xzeroaxis line

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image/svg+xml

0913cbf1d4ce80a367010d79a5adfd060a91e7db

16,013 byte

480 pixel

600 pixel

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current04:18, 16 December 2014Thumbnail for version as of 04:18, 16 December 2014600 × 480 (16 KB)OgreBot(BOT): Reverting to most recent version before archival
04:18, 16 December 2014Thumbnail for version as of 04:18, 16 December 2014600 × 480 (16 KB)OgreBot(BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2010-12-11 18:28:51 by Linas
04:18, 16 December 2014Thumbnail for version as of 04:18, 16 December 2014600 × 480 (15 KB)OgreBot(BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2010-12-11 18:13:24 by Linas
04:18, 16 December 2014No thumbnail0 × 0 (12 KB)OgreBot(BOT): Uploading old version of file from en.wikipedia; originally uploaded on 2005-12-22 01:29:02 by Linas
19:48, 15 December 2014Thumbnail for version as of 19:48, 15 December 2014600 × 480 (16 KB)Mx. GrangerTransferred from en.wikipedia

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