File:Tetma.jpg: Difference between revisions

Revision as of 02:58, 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	Please click here to add the credit line, then copy the code below to add this image to a Citizendium article, changing the size, alignment, and caption as necessary. `{{Image\|Tetma.jpg\|right\|350px\|Add image caption here.}}`

Image issue? Contact us via the email below.

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 $u=\Re (\mathrm {tet} (x\!+\!\mathrm {i} y)=\mathrm {const}$ and lines $u=\Im (\mathrm {tet} (x\!+\!\mathrm {i} y)=\mathrm {const}$

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
https://www.morebooks.de/store/ru/book/Суперфункции/isbn/978-3-659-56202-0
http://mizugadro.mydns.jp/BOOK/201.pdf}
http://www.ils.uec.ac.jp/~dima/BOOK/201.pdf}
http://mizugadro.mydns.jp/t/index.php/Суперфункции

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.

Metadata

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.

Horizontal resolution	150 dpi
Vertical resolution	150 dpi

@@ Line 28: / Line 28: @@
-The tetration and its maps are described in the [[Mathematica of Computation]],
+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:Complex map]]
+[[Category:Superfunctions]]