# File:Exm09mapT200.jpg

Revision as of 10:51, 28 July 2013 by T (talk | contribs) (Complex map of the $-0.9$th iteration of exponent, which is also $0.9$th iteration of logarithm; $u+\mathrm i v= \exp^{-0.9}(x+\mathrm i y)=\ln^{0.9}(x+\mathrm i y)= \mathrm{tet}(-0.9+\mathrm{ate}(x+\mathrm i y))$ For the evaluation, the non...)

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Complex map of the $-0.9$th iteration of exponent, which is also $0.9$th iteration of logarithm;

$u+\mathrm i v= \exp^{-0.9}(x+\mathrm i y)=\ln^{0.9}(x+\mathrm i y)= \mathrm{tet}(-0.9+\mathrm{ate}(x+\mathrm i y))$

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.cin, 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}

%

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current | 12:55, 28 July 2013 | 2,281 × 1,179 (560 KB) | T (talk | contribs) | resolution | |

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10:51, 28 July 2013 | 2,281 × 1,179 (560 KB) | T (talk | contribs) | Complex map of the $-0.9$th iteration of exponent, which is also $0.9$th iteration of logarithm; $u+\mathrm i v= \exp^{-0.9}(x+\mathrm i y)=\ln^{0.9}(x+\mathrm i y)= \mathrm{tet}(-0.9+\mathrm{ate}(x+\mathrm i y))$ For the evaluation, the non... |

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