File:Complex theta animated1.gif

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Complex_theta_animated1.gif(500 × 250 pixels, file size: 1.73 MB, MIME type: image/gif, looped, 40 frames, 8.0 s)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

This is the color function used in the picture above. This is the color function used in the picture above.

Description function EllipticTheta[1,z,0.5*Exp[2*pi*i*var/40]] for var = 1...40 in the complex plane. On the right side you can see a plot of EllipticTheta[1, 1, z]. The black dot is the point in the moduli space.
Date
Source made with Mathematica, own work. See User:Jan_Homann/Mathematics for an explanation of how to generate images like these with Mathematica.
Author Jan Homann
Permission
(Reusing this file)
public domain

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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18 May 2008

image/gif

3d3d1c5d812752a60988713316209ccd775ae9fb

1,808,826 byte

8.000000000000004 second

250 pixel

500 pixel

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Date/TimeThumbnailDimensionsUserComment
current23:55, 19 May 2008Thumbnail for version as of 23:55, 19 May 2008500 × 250 (1.73 MB)wikimediacommons>Jan Homann== Description == 300x300px|This is the color function used in the picture above. This is the color function used in the picture above. {{Information |Description=function EllipticTheta[1,z,0.5*Exp[2*pi*i*var/40] for var =

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