File:Bernoulli polynomials.svg

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.svgCategory:Files with derivative versions

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.
Category:CC-BY-SA-3.0-migrated-with-disclaimers#Bernoulli%20polynomials.svgCategory:License migration completed#Bernoulli%20polynomials.svg
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.
Category:GFDL-disclaimers#Bernoulli%20polynomials.svg

Original upload log

The original description page was here. All following user names refer to en.wikipedia.
Date/TimeDimensionsUserComment
2010-12-12 14:41600×480× (16013 bytes)Linasadjust colors for better contrast
2010-12-11 18:28600×480× (15939 bytes)Linastweak y-axis, add B_1 back in
2010-12-11 18:13600×480× (14895 bytes)Linasfix errors due to truncation by gnuplot; also change scale to emphasize convergence to sine/cosine
2005-12-22 01:29600×480× (12554 bytes)LinasGraph 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
Category:Bernoulli polynomials
Category:Bernoulli polynomials Category:CC-BY-SA-3.0-migrated-with-disclaimers Category:Files with derivative versions Category:GFDL-disclaimers Category:License migration completed