File:AnalyticTetrationBaseSqrt2v00.jpg: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Dmitrii Kouznetsov
mNo edit summary
(== Summary == Importing file)
Tag: Server-side upload
 
(3 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Image notes
== Summary ==
|Description= Analytic tetration <math>~F(z) </math> at base <math>b=\sqrt{2}</math>
Importing file
on the complex <math>~z</math> plane.<br>
Levels of integer real part and those of integer imaginary part are shown with thick lines. Intermediate levels are shown with thin lines.
 
<math>F(-1)=0</math>, <math>F(0)=1</math>. <br>
 
Grid covers with unit step range
(<math>-10\le \Re(z) \le 10 </math>,
<math>-10\le \Im(z) \le 10 </math>).
Function is periodic; period <math>T=17.1431~\rm i</math>.<br>
 
Asumptotic increment
<math> Q=\ln^2(2)\approx -0.366513</math> at  <math> \Re(z)\rightarrow \infty </math>,  and
<math> Q=\ln^2(4)\approx 0.3266342</math> at  <math> \Re(z)\rightarrow -\infty </math>.
|Author=Dmitrii Kouznetsov
|Date=2008
|Source=self made
|Country first published in=Japan
|Copyright holder=Dmitrii Kouznetsov
|Notes=
|Other versions=}}
{{attribution}}

Latest revision as of 19:58, 11 March 2022

Summary

Importing file

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current19:58, 11 March 2022Thumbnail for version as of 19:58, 11 March 20221,216 × 1,616 (364 KB)Maintenance script (talk | contribs)== Summary == Importing file

Metadata