Difference between revisions of "File:Expc.jpg"
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| + | The [[exponential]] iterated <math>c </math> times: |
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| − | Importing image file |
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| + | <math>y=\exp^c(x)</math> versus <math>x</math> for some real values of <math>c</math> |
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| + | <br> |
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| + | The representation through the [[tetrational]] is used:<br> |
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| + | <math>\exp^c(z)=\mathrm{tet}\Big(c+\mathrm{tet}^{-1}(z)\Big)</math> |
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| + | This picture was stored at CZ |
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| + | The quick implementation from the [[Vladikavkaz Mathematical Journal]] |
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| + | <ref name="vladi"> |
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| + | http://www.ils.uec.ac.jp/~dima/PAPERS/2010vladie.pdf |
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| + | D.Kouznetsov. Superexponential as special function. Vladikavkaz Mathematical Journal, 2010, v.12, issue 2, p.31-45. |
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| + | </ref> is used for the evaluation. |
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| + | http://en.citizendium.org/wiki/File:Expc.jpg |
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| + | and then also at wikipedia. |
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| + | |||
| + | Copyleft 2008 by Dmitrii Kouznetsov. Use for free, attribute the source. |
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| + | |||
| + | ==References== |
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| + | <references/> |
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| + | |||
| + | [[Category:Mathematical functions]] |
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| + | [[Category:Tetration]] |
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| + | [[Category:Superfunctions]] |
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| + | [[Category:Iteration]] |
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Revision as of 09:38, 21 June 2013
The exponential iterated \(c \) times\[y=\exp^c(x)\] versus \(x\) for some real values of \(c\)
The representation through the tetrational is used:
\(\exp^c(z)=\mathrm{tet}\Big(c+\mathrm{tet}^{-1}(z)\Big)\)
This picture was stored at CZ
The quick implementation from the Vladikavkaz Mathematical Journal [1] is used for the evaluation.
http://en.citizendium.org/wiki/File:Expc.jpg
and then also at wikipedia.
Copyleft 2008 by Dmitrii Kouznetsov. Use for free, attribute the source.
References
- ↑ 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.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
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| current | 17:50, 20 June 2013 |  | 941 × 852 (48 KB) | Maintenance script (talk | contribs) | Importing image file |
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