File:Exm1mapT200.jpg
Revision as of 11:14, 28 July 2013 by T (talk | contribs) (Complex map of the $-1$st iteration of exponent, which is also $1$th iteration of logarithm; $u+\mathrm i v= \exp^{-1}(x+\mathrm i y)=\ln(x+\mathrm i y)= \mathrm{tet}(-1+\mathrm{ate}(x+\mathrm i y))$ For the evaluation, the iterate of expon...)
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Complex map of the $-1$st iteration of exponent, which is also $1$th iteration of logarithm;
$u+\mathrm i v= \exp^{-1}(x+\mathrm i y)=\ln(x+\mathrm i y)= \mathrm{tet}(-1+\mathrm{ate}(x+\mathrm i y))$
For the evaluation, the 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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| current | 12:47, 28 July 2013 | | 2,281 × 1,179 (544 KB) | T (talk | contribs) | resolution? |
| 11:23, 28 July 2013 |  | 1,711 × 885 (370 KB) | T (talk | contribs) | shift for 2 pixels to the left | |
| 11:14, 28 July 2013 |  | 2,281 × 1,179 (541 KB) | T (talk | contribs) | Complex map of the $-1$st iteration of exponent, which is also $1$th iteration of logarithm; $u+\mathrm i v= \exp^{-1}(x+\mathrm i y)=\ln(x+\mathrm i y)= \mathrm{tet}(-1+\mathrm{ate}(x+\mathrm i y))$ For the evaluation, the iterate of expon... |
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