File:Exm09mapT200.jpg
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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
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\documentclass[12pt]{article}
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:55, 28 July 2013 | | 2,281 × 1,179 (560 KB) | T (talk | contribs) | resolution |
| 12:16, 28 July 2013 |  | 1,711 × 885 (382 KB) | T (talk | contribs) | shift | |
| 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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