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 infoCreated 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
  
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported licence. Subject to disclaimers. | |
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| This licencing tag was added to this file as part of the GFDL licencing update. |
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation Licence, 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 licence is included in the section entitled GNU Free Documentation Licence. 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 |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 09:48, 16 December 2014 | | 600 × 480 (16 KB) | wikimediacommons>OgreBot | (BOT): Reverting to most recent version before archival |
File usage
The following 2 pages use this file:
