Dosiero:Gee three real.jpeg
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Gee_three_real.jpeg (600 × 600 rastrumeroj, grandeco de dosiero: 52 KB, MIME-tipo: image/jpeg)
La bildo estas kopiita de wikipedia:en. La originala priskribo estas:
Weierstrass elliptic functions invariant g3, real part (600x600 pixels)
Enhavo |
[redaktu] Detailed description
This image shows the real part of the Weierstrass elliptic functions invariant g3=140 G6 as a function of the square of the nome q = exp(iπτ) on the unit disk |q| < 1. That is, πτ runs from 0 to 2π along the edge of the disk. Black areas indicate regions where the real part is zero; blue/green areas where the value is small and positive, yellow/red where it is large and positive. The fractal self-similarity of this function is that of the modular group; note that this function is a modular form. Every modular function will have this general kind of self-similarity.
See also Image:Gee_three_imag.jpeg for the imaginary part; both images use the same color scale, and thus give a hint of the relative magnitudes.
The corresponding image for g2 is quite similar. It, and other related images, can be seen at http://www.linas.org/art-gallery/numberetic/numberetic.html
The images for general Eisenstein series G2n will appear to be similar, but more intensly filigreed. In particular, notice how this image has two colored lobes running down the middle. The corresping image for G2n will show n-=1 lobes.
[redaktu] Source of Image
Created by Linas Vepstas User:Linas <linas@linas.org> on 13 February 2005 using custom software written entirely by Linas Vepstas.
[redaktu] Copyright status
Released under the Gnu Free Documentation License (GFDL) by Linas Vepstas.
| Permeso estas donita kopii, distribui kaj/aŭ modifi tiun ĉi verkon sub la kondiĉoj de la GNU Free Documentation License, Versio 1.2 aŭ ia ajn alia versio eldonita de la Free Software Foundation; kun neniaj Senvariaj Sekcioj, neniaj Antaŭ-Kovrilaj Tekstoj, kaj neniaj Malantaŭ-Kovrilaj Tekstoj. Kondiĉe de malgarantioj. |
[redaktu] Relevant Links
- Weierstrass elliptic functions
- Eisenstein series
- Q-series
| date/time | username | edit summary |
|---|---|---|
| 19:25, 26 February 2006 | en:User:Linas | (<span class="autocomment"><a href="/wiki/Image:Gee_three_real.jpeg#Detailed_description" title="Image:Gee three real.jpeg">→</a>Detailed description -</span> typo) |
| 01:51, 23 February 2006 | en:User:18.87.1.212 | (spelling) |
| 01:46, 23 February 2006 | en:User:18.87.1.212 | (Spelling correction) |
| 16:03, 15 February 2005 | en:User:Linas | (add to description) |
| 04:51, 15 February 2005 | en:User:Linas | (fix formula) |
| 04:03, 15 February 2005 | en:User:Linas | (change to square of nome) |
| 06:33, 14 February 2005 | en:User:Linas | (<span class="autocomment"><a href="/wiki/Image:Gee_three_real.jpeg#Detailed_description" title="Image:Gee three real.jpeg">→</a>Detailed description</span>) |
| 06:22, 14 February 2005 | en:User:Linas | (<span class="autocomment"><a href="/wiki/Image:Gee_three_real.jpeg#Relevant_Links" title="Image:Gee three real.jpeg">→</a>Relevant Links</span>) |
| 06:19, 14 February 2005 | en:User:Linas | (<span class="autocomment"><a href="/wiki/Image:Gee_three_real.jpeg#Detailed_description" title="Image:Gee three real.jpeg">→</a>Detailed description</span>) |
| 06:17, 14 February 2005 | en:User:Linas | (<span class="autocomment"><a href="/wiki/Image:Gee_three_real.jpeg#Detailed_description" title="Image:Gee three real.jpeg">→</a>Detailed description</span>) |
| 06:01, 14 February 2005 | en:User:Linas | |
| 05:55, 14 February 2005 | en:User:Linas | (<span class="autocomment"><a href="/wiki/Image:Gee_three_real.jpeg#Relevant_Links" title="Image:Gee three real.jpeg">→</a>Relevant Links</span>) |
| 05:55, 14 February 2005 | en:User:Linas | (<span class="autocomment"><a href="/wiki/Image:Gee_three_real.jpeg#Detailed_description" title="Image:Gee three real.jpeg">→</a>Detailed description</span>) |
| 05:52, 14 February 2005 | en:User:Linas | (provide basic info) |
| 05:43, 14 February 2005 | en:User:Linas | (Weierstrass invarient g three.jpeg) |
[redaktu] Historio de la dosiero
Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version.
Click on date to download the file or see the image uploaded on that date.
- (del) (cur) 04:01, 15 February 2005 . . en:User:Linas Linas ( en:User_talk:Linas Talk) . . 600x600 (52911 bytes) (image changed to show square of nome instead)
- (del) (rev) 05:43, 14 February 2005 . . en:User:Linas Linas ( en:User_talk:Linas Talk) . . 600x600 (53758 bytes) (Weierstrass invarient g three.jpeg)
Dosierhistorio
Alklaku iun daton kaj horon por vidi kiel la dosiero tiam aspektis.
| Dato/Horo | Uzulo | Grandecoj | Dosiergrandeco | Komento | |
|---|---|---|---|---|---|
| (nun) | 19:29, 18. Mar 2006 | Maksim-bot (Diskuto | kontribuoj) | 600×600 | 52 KB | La bildo estas kopiita de wikipedia:en. La originala priskribo estas: Weierstrass elliptic functions invariant g<sub>3</sub>, real part (600x600 pixels) ===Detailed description=== This image shows the real part of the [[Weierstrass elliptic function |
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