Difference between revisions of "File:Exm05mapT200.jpg"

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(Compex map of the $-0.5$th iteration of exponent, $u+\mathrm i v= \exp^{-0.5}(x+\mathrm i y)=\ln^{0.5}(x+\mathrm i y)= \mathrm{tet}(-0.5+\mathrm{ate}(x+\mathrm i y)$ For the evaluation, the non-integer iterate of exponential is expressed thr...)
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Revision as of 23:46, 27 July 2013

Compex map of the $-0.5$th iteration of exponent,

$u+\mathrm i v= \exp^{-0.5}(x+\mathrm i y)=\ln^{0.5}(x+\mathrm i y)= \mathrm{tet}(-0.5+\mathrm{ate}(x+\mathrm i y)$

For the evaluation, the non-integer iterate of exponential is expressed through tetration tet and arctetration ate. The complex double implementations FSEXP and FSLOG are used in the C++ code below.

C++ generator of curves

// Files ado.fin, conto.cin, fsexp.cin and fslog.cin should be loaded in the working directory in order to compile the code below.

Latex generator of labels

%


\documentclass[12pt]{article}
\end{document}
%

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current12:54, 28 July 2013Thumbnail for version as of 12:54, 28 July 20132,281 × 1,179 (705 KB)T (talk | contribs)resolution
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23:46, 27 July 2013Thumbnail for version as of 23:46, 27 July 20132,281 × 1,179 (704 KB)T (talk | contribs)Compex map of the $-0.5$th iteration of exponent, $u+\mathrm i v= \exp^{-0.5}(x+\mathrm i y)=\ln^{0.5}(x+\mathrm i y)= \mathrm{tet}(-0.5+\mathrm{ate}(x+\mathrm i y)$ For the evaluation, the non-integer iterate of exponential is expressed thr...
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