File:Q-Eulero.jpeg
Q-Eulero.jpeg (600 × 600 pixels, file size: 26 KB, MIME type: image/jpeg)
Captions
Summary
[edit]DescriptionQ-Eulero.jpeg |
English: This picture shows the modulus on the complex plane, inside the unit circle , where
is Euler's q-series for the Partition of an integer. The fractal self-similarity of this function is that of the modular group; note that this function is closely related to a modular form, the modular discriminant. Every modular function will have this general kind of self-similarity. It is colored with a rainbow of colors, with black representing values near zero, and red values near four. Note the Modular group symmetry, and the general resemblance to colorings of the interior of the Mandelbrot set.Italiano: L'immagine mostra il modulo nel piano complesso, all'interno del cerchio unitario , dove
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Date | 2 January 2005 (original upload date) | |||||||||||||
Source |
Own work (Original caption: " Created by Linas Vepstas User:Linas <linas@linas.org> on 2 January 2005 using custom software written entirely by Linas Vepstas. ") |
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Author |
creator QS:P170,Q61131517 |
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Permission (Reusing this file) |
Released under the Gnu Free Documentation License (GFDL) by Linas Vepstas. |
Licensing
[edit]This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. Subject to disclaimers. | ||
Attribution: Linas at the English-language Wikipedia | ||
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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 |
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
[edit]- 2005-01-02 17:47 Linas 600×600× (26623 bytes) Euler's q-series on the complex plane
- 2011-01-31 21:39 Filippo Colantuono 600×600× (26623 bytes) {{Informazioni file |Descrizione = L'immagine mostra il modulo <math>| \phi(q) |</math> nel piano complesso, all'interno del cerchio unitario <math>|q| \le 1</math>, dove :<math>\phi(q)=\prod_{k=1}^\infty (1-q^k)</math> è la q-serie di Eulero per la [[partizione di un intero]]. |Fonte = Opera creata da [http://en.wikipedia.org/wiki/User:Linas User:Linas] (Linas Vepstas) |Data = 2 Gennaio 2005 |Autore = [http://en.wikipedia.org/wiki/User:Linas User:Linas] (Linas Vepstas) |Licenza = {{GFDL-with-disclaimers|migration=relicense}} |Detentore copyright = [http://en.wikipedia.org/wiki/User:Linas User:Linas] (Linas Vepstas) |EDP = |Altre versioni = }}
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 04:18, 1 February 2011 | 600 × 600 (26 KB) | File Upload Bot (Magnus Manske) (talk | contribs) | {{BotMoveToCommons|it.wikipedia|year={{subst:CURRENTYEAR}}|month={{subst:CURRENTMONTHNAME}}|day={{subst:CURRENTDAY}}}} {{Information |Description={{it|L'immagine mostra il modulo <math>| \phi(q) |</math> nel piano complesso, all'interno del cerchio unita |
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