imported>Dmitrii Kouznetsov |
|
| (4 intermediate revisions by one other user not shown) |
| Line 1: |
Line 1: |
| == 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.
| |
| | |
| The fast algorithm of evaluation of tetration is described in the [[Vladikavkaz mathematical Journal]]:
| |
| http://www.ils.uec.ac.jp/~dima/PAPERS/2010vladie.pdf D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45.
| |
| | |
| The image is used at the front cover of the book about Superfunctions, the Book is in Russian and is available at <br>
| |
| https://www.morebooks.de/store/ru/book/Суперфункции/isbn/978-3-659-56202-0 <br>
| |
| http://mizugadro.mydns.jp/BOOK/201.pdf}<br>
| |
| http://www.ils.uec.ac.jp/~dima/BOOK/201.pdf}<br>
| |
| http://mizugadro.mydns.jp/t/index.php/Суперфункции
| |
|
| |
| | |
| [[Category:Complex map]]
| |
| [[Category:Tetration]]
| |
| [[Category:Superfunctions]]
| |
Latest revision as of 19:52, 11 March 2022
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment |
|---|
| current | 19:52, 11 March 2022 |  | 3,341 × 1,675 (1.89 MB) | Maintenance script (talk | contribs) | == Summary == Importing file |
You cannot overwrite this file.
File usage
There are no pages that use this file.
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
