File:Exm1mapT200.jpg
Revision as of 11:23, 28 July 2013 by T (talk | contribs) (T uploaded a new version of "File:Exm1mapT200.jpg": shift for 2 pixels to the left)
Size of this preview: 800 × 414 pixels. Other resolutions: 320 × 165 pixels | 2,281 × 1,179 pixels.
Original file (2,281 × 1,179 pixels, file size: 544 KB, MIME type: image/jpeg)
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
%
%
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
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... |
You cannot overwrite this file.
File usage
The following page uses this file: