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) |
||
| Line 1: | Line 1: | ||
{{ | {{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 03:35, 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
|
You can edit this page and add notes here which may be useful to people who wish to re-use this media. |
| Other versions
|
If there are other versions of this media on CZ, please list them here. |
| Using this image on CZ
|
, then copy the code below to add this image to a Citizendium article, changing the size, alignment, and caption as necessary.
|
Please send email to manager A T citizendium.org .
This media, AnalyticTetrationBaseSqrt2v00.jpg, is copyrighted but may be reused
The copyright holder has stipulated that anyone may freely copy, distribute, display and perform this work, as well as make derivative and commercial works, provided that you attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work). This applies in perpetuity.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 18:58, 11 March 2022 |  | 1,216 × 1,616 (364 KB) | Maintenance script (talk | contribs) | == Summary == Importing file |
You cannot overwrite this file.
File usage
The following 5 pages use this file:
