File:Bernoulli polynomials.svg
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![File:Bernoulli polynomials.svg](https://upload.wikimedia.org/wikipedia/commons/thumb/6/67/Bernoulli_polynomials.svg/600px-Bernoulli_polynomials.svg.png)
Size of this PNG preview of this SVG file: 600 × 480 pixels. Other resolutions: 300 × 240 pixels | 960 × 768 pixels | 1,280 × 1,024 pixels | 2,560 × 2,048 pixels.
Original file (SVG file, nominally 600 × 480 pixels, file size: 16 KB)
This file is from a shared repository and may be used by other projects. The description on its file description page there is shown below.
Summary
DescriptionBernoulli polynomials.svg |
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 license. Subject to disclaimers. | |
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This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue |
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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.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
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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0913cbf1d4ce80a367010d79a5adfd060a91e7db
16,013 byte
480 pixel
600 pixel
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 04:18, 16 December 2014 | ![]() | 600 × 480 (16 KB) | commons>OgreBot | (BOT): Reverting to most recent version before archival |
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Image title | Produced by GNUPLOT 4.2 patchlevel 4 |
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Width | 600 |
Height | 480 |
Retrieved from "https://mdwiki.org/wiki/File:Bernoulli_polynomials.svg"