File:Zeta polar.svg

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Zeta_polar.svg‎ (SVG file, nominally 560 × 480 pixels, file size: 9 KB)
Mathematics icon This image was selected as picture of the month on the Mathematics Portal for May 2008

W3C✓ The source code of this SVG is valid.

[edit] Summary

Description

This image shows a polar graph of the Riemann zeta function along the critical line. That is, it is a graph of \Re\zeta(it+1/2) versus \Im\zeta(it+1/2) for real values of t running from 0 to 34. The first five zeros in the critical strip are clearly visible as the place where the spirals pass through the origin.
The plotcurve is accurate to 6 digits.
Date

22 May 2007(2007-05-22)
Source

http://en.wikipedia.org/wiki/Image:Zeta_polar.svg
Author
  • Original artwork created by Linas Vepstas <linas@linas.org> User:Linas 19 February 2006(2006-02-19)
  • New smooth and precise plotcurve version by User:Geek3 16 December 2008(2008-12-16)
Permission
(Reusing this file)

See below.


[edit] Licensing

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.

w:en:Creative Commons
attribution share alike		 This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
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 attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.
This licensing tag was added to this file as part of the GFDL licensing update.

File history

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

Date/TimeThumbnailDimensionsUserComment
current11:34, 12 August 2010Thumbnail for version as of 11:34, 12 August 2010560 × 480 (9 KB)Geek3 (header corrected for validator)
20:29, 16 December 2008Thumbnail for version as of 20:29, 16 December 2008560 × 480 (10 KB)Geek3 (smooth and precise plotcurve)
14:15, 22 May 2007No thumbnail0 × 0 (11 KB)Elisardojm ({{Information |Description=This image shows a polar graph of the Riemann zeta function along the critical line. That is, it is a graph of <math>\Re\zeta(it+1/2)</math> versus <math>\Im\zeta(it+1/2)</math> for real values of)
The following pages on the English Wikipedia link to this file (pages on other projects are not listed):

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Metadata

This file contains additional information, probably added from the digital camera or scanner used to create or digitize it. If the file has been modified from its original state, some details may not fully reflect the modified file.
Width 560
Height 480
Image title manually coded polar zeta-graph,

the plot was generated by a python program t runs from 0 to 34

http://commons.wikimedia.org/wiki/File:Zeta_polar.svg
Retrieved from "http://en.wikipedia.org/w/index.php?title=File:Zeta_polar.svg&oldid=426519131"
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