File:AnalyticTetrationBaseSqrt2v00.jpg: Difference between revisions
imported>Dmitrii Kouznetsov (uploaded a new version of "Image:AnalyticTetrationBaseSqrt2v00.jpg": {{Image notes |Description= Analytic tetration <math>~F(z) </math> at base <math>b=\sqrt{2}</math> 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) \l...) |
imported>Caesar Schinas m (Bot: Replace Template:Image_notes_* with Template:Image_Details) |
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{{ | {{Image_Details | ||
| | |description = Analytic tetration <math>~F(z) </math> at base <math>b=\sqrt{2}</math> | ||
on the complex <math>~z</math> plane.<br> | 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. | Levels of integer real part and those of integer imaginary part are shown with thick lines. Intermediate levels are shown with thin lines. | ||
| Line 14: | Line 14: | ||
<math> Q=\ln^2(2)\approx -0.366513</math> at <math> \Re(z)\rightarrow \infty </math>, and | <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>. | <math> Q=\ln^2(4)\approx 0.3266342</math> at <math> \Re(z)\rightarrow -\infty </math>. | ||
| | |author = Dmitrii Kouznetsov | ||
| | |copyright = Dmitrii Kouznetsov | ||
| | |source = [[AnalyticTetrationBaseSqrt2v00/code]] | ||
| | |date-created = 2008 | ||
| | |pub-country = Japan | ||
| | |notes = | ||
| | |versions = | ||
}} | |||
{{attribution}} | {{attribution}} | ||
Revision as of 04:35, 22 June 2009
| Title / Description
|
Analytic tetration at base
on the complex plane. , . Grid covers with unit step range
(,
).
Function is periodic; period . Asumptotic increment at , and at . |
|---|---|
| Author(s)
|
Dmitrii Kouznetsov |
| Copyright holder
|
Dmitrii Kouznetsov See below for license/re-use information. |
| Source
|
AnalyticTetrationBaseSqrt2v00/code |
| Date created
|
2008 |
| Country of first publication
|
Japan |
| Notes
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