File:Tetma.jpg: Difference between revisions

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imported>Dmitrii Kouznetsov
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== Summary ==
== Summary ==
{{Image_Details|user-pd
Importing file
|description  = [[Complex map]] of the natural [[tetration]] tet
|author      = [[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]]
|date-created = 2014
|pub-country  = Japan
|notes        = I had loaded this image also to the www.ingimahe.com, but I cannot find it in their catalogue;
so, I upload it here.
|versions    = http://mizugadro.mydns.jp/t/index.php/File:Tetma.jpg , the [[C++]] generator is available
 
The zoomin of the central part is available also at http://mizugadro.mydns.jp/t/index.php/File:B271t3T.png
}}
== Licensing ==
{{CC|zero|1.0}}
 
==Description==
 
[[Tetration]] tet is shown with
 
lines
<math>
u=\Re(\mathrm{tet}(x\!+\!\mathrm i y)= \mathrm {const}
</math>
and lines
<math>
u=\Im(\mathrm{tet}(x\!+\!\mathrm i y)= \mathrm {const}
</math>
 
 
The tetration and its maps are described in the [[Mathematica of Computation]],
http://www.ams.org/mcom/2009-78-267/S0025-5718-09-02188-7/home.html D.Kouznetsov. (2009). Solutions of F(z+1)=exp(F(z)) in the complex plane.. Mathematics of Computation, 78: 1647-1670. DOI:10.1090/S0025-5718-09-02188-7.
 
 
[[Category:Tetration]]
[[Category:Complex map]]

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