File:HolomorphicTetrationBaseSqrt2v01.jpg: Difference between revisions

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== Summary ==
== Summary ==
{{Image notes ownworkpro
{{Image_Details|user
|Description=Holomorphic [[tetration]] at base 2 on the complex plane of the argument,  
|description  = Holomorphic [[tetration]] at base 2 on the complex plane of the argument,  
<math>f=\mathrm{tet}_\sqrt{2}(x+\mathrm{i}y)</math>.
<math>f=\mathrm{tet}_\sqrt{2}(x+\mathrm{i}y)</math>.
Levels of integer values of the real part of <math>f</math> and those for the imaginary part are shown with thick lines.
Levels of integer values of the real part of <math>f</math> and those for the imaginary part are shown with thick lines.
Intermediate levels are shown with thin lines. The cutlines are marked with pink.
Intermediate levels are shown with thin lines. The cutlines are marked with pink.
|CZ username= Dmitrii Kouznetsov
|author      = {{#if:Dmitrii Kouznetsov|[[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]]}}
|Year created= 2008
|date-created = 2008
|Notes= The generator of eps version of this figure:<br>
|pub-country  =
|notes        = The generator of eps version of this figure:<br>
'''[[HolomorphicTetrationBaseSqrt2v01.jpg/code]]''' <br>
'''[[HolomorphicTetrationBaseSqrt2v01.jpg/code]]''' <br>
for the compillation, two graphical routines are required:
for the compillation, two graphical routines are required:
* '''[[ContourPlot/code/ado.cin]]'''    (function that makes the header of the eps file)
* '''[[ContourPlot/code/ado.cin]]'''    (function that makes the header of the eps file)
* '''[[ContourPlot/code/conto.cin]]'''  (function which draws a level)
* '''[[ContourPlot/code/conto.cin]]'''  (function which draws a level)
<!--
|versions     = AnalyticTetrationBaseSqrt2v00.jpg
Tere, the lower part of the previous version of this figure is removed because the function is periodic.
}}
!-->
|Other versions=AnalyticTetrationBaseSqrt2v00.jpg}}


== Licensing/Copyright status ==
== Licensing/Copyright status ==
{{CC|by-nd|3.0}}
{{CC|by-nd|3.0}}

Revision as of 03:20, 22 June 2009

Summary

Title / Description


Holomorphic tetration at base 2 on the complex plane of the argument,

. Levels of integer values of the real part of and those for the imaginary part are shown with thick lines. Intermediate levels are shown with thin lines. The cutlines are marked with pink.

Citizendium author
& Copyright holder


Copyright © Dmitrii Kouznetsov.
See below for licence/re-use information.
Date created


2008
Country of first publication


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Notes


The generator of eps version of this figure:

HolomorphicTetrationBaseSqrt2v01.jpg/code
for the compillation, two graphical routines are required:

Other versions


AnalyticTetrationBaseSqrt2v00.jpg
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