File:Tetma.jpg: Difference between revisions
imported>Dmitrii Kouznetsov ({{Image_Details|user-pd |description = Complex map of the natural tetration tet |author = ~~~ |date-created = |pub-country = |notes = |versions = }}) |
imported>Dmitrii Kouznetsov (add refs) |
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|description = [[Complex map]] of the natural [[tetration]] tet | |description = [[Complex map]] of the natural [[tetration]] tet | ||
|author = [[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]] | |author = [[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]] | ||
|date-created = | |date-created = 2014 | ||
|pub-country = | |pub-country = Japan | ||
|notes = | |notes = I had loaded this image also to the www.ingimahe.com, but I cannot find it in their catalogue; | ||
|versions = | 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 == | == Licensing == | ||
{{CC|zero|1.0}} | {{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]] | |||
Revision as of 02:46, 13 August 2014
Summary
| Title / Description
|
Complex map of the natural tetration tet |
|---|---|
| Citizendium author
|
Dmitrii Kouznetsov |
| Date created
|
2014 |
| Country of first publication
|
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. |
| Other 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 |
| Using this image on CZ
|
, then copy the code below to add this image to a Citizendium article, changing the size, alignment, and caption as necessary.
|
Please send email to manager A T citizendium.org .
Licensing
This media, Tetma.jpg, is licenced under the Creative Commons CC0 1.0 Universal License
No copyright:
The person who associated a work with this licence waives all rights to the work under copyright law and all related or neighboring legal rights in the work, to the extent allowable by law.
Patent or trademark rights, or rights other persons may have either in the work itself or in how the work is used such as publicity or privacy rights, are not affected.
Read the full licence.
Description
Tetration tet is shown with
lines and lines
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.
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|---|---|---|---|---|---|
| current | 19:52, 11 March 2022 |  | 3,341 × 1,675 (1.89 MB) | Maintenance script (talk | contribs) | == Summary == Importing file |
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