Dosiero:Gee three imag.jpeg
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Gee_three_imag.jpeg (50KB, MIME type: image/jpeg
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La bildo estas kopiita de wikipedia:en. La originala priskribo estas:
Weierstrass elliptic functions invariant g3, imaginary part (600x600 pixels)
Enhavo |
[redaktu] Detailed description
This image shows the imaginary 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 imaginary 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_real.jpeg for the real part; both images use the same color scale.
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 intensely filigreed.
[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. Ŝablono:Gfdl
[redaktu] Relevant Links
- Weierstrass elliptic functions
- Eisenstein series
- Q-series
date/time | username | edit summary |
---|---|---|
19:27, 26 February 2006 | en:User:Linas | (<span class="autocomment"><a href="/wiki/Image:Gee_three_imag.jpeg#Detailed_description" title="Image:Gee three imag.jpeg">→</a>Detailed description -</span> typo) |
01:49, 23 February 2006 | en:User:18.87.1.212 | (yet more spelling) |
01:48, 23 February 2006 | en:User:18.87.1.212 | (more spelling) |
01:47, 23 February 2006 | en:User:18.87.1.212 | (Spelling correction) |
16:00, 15 February 2005 | en:User:Linas | (add to description) |
04:52, 15 February 2005 | en:User:Linas | (fix formula) |
03:59, 15 February 2005 | en:User:Linas | (change image to be square of nome) |
06:34, 14 February 2005 | en:User:Linas | (<span class="autocomment"><a href="/wiki/Image:Gee_three_imag.jpeg#Detailed_description" title="Image:Gee three imag.jpeg">→</a>Detailed description</span>) |
06:23, 14 February 2005 | en:User:Linas | |
06:02, 14 February 2005 | en:User:Linas | |
05:57, 14 February 2005 | en:User:Linas | (Weierstrass invarient g three imaginary part.jpeg) |
[redaktu] Historio de la dosiero
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- (del) (cur) 03:55, 15 February 2005 . . en:User:Linas Linas ( en:User_talk:Linas Talk) . . 600x600 (50993 bytes) (corections)
- (del) (rev) 05:57, 14 February 2005 . . en:User:Linas Linas ( en:User_talk:Linas Talk) . . 600x600 (26605 bytes) (Weierstrass invarient g three imaginary part.jpeg)
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- (for) (nun) 19:29, 18. Mar 2006 . . Maksim-bot (Diskuto | kontribuoj) . . 600×600 (50 993 bitokoj) (La bildo estas kopiita de wikipedia:en. La originala priskribo estas: Weierstrass elliptic functions invariant g<sub>3</sub>, imaginary part (600x600 pixels) ===Detailed description=== This image shows the imaginary part of the [[Weierstrass ellipti)
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