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29 January 2026
| 20:55 | Upload log T talk contribs uploaded File:AteSuFacPlotU.png ({{oq|AteSuFacPlotU.png|AteSuFacPlotU.png (487 × 487 pixels, file size: 30 KB, MIME type: image/png)|}} Explicit plot of combination of natural ArcTetration and SuperFactorial: \(y=\mathrm{ate}\Big(\mathrm{SuFac}(x)\Big)\) For comparison the line \(y=x+0.8\) is also shown. ==C++== files [[ado.cin]], [[fac.cin]], [[SuFac.cin]], [[fslog.cin]] should be loaded in order to compile the code below.: <pre> =#include <math.h> #include <stdio.h> #include <stdlib.h> #define DB doub...) | ||||
28 January 2026
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21:32 | (Upload log) [T (3×)] | |||
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21:32 T talk contribs uploaded File:AteSuExq2plotU.png (== Summary == {{oq|AteSuExq2plotU.png|AteSuExq2plotU.png (737 × 438 pixels, file size: 11 KB, MIME type: image/png)}} Explicit plot of combination of natural ArcTetration and growing SuperExponential to base \(\sqrt{2}\): \(y=\mathrm{ate}\Big(\mathrm{SuExq2}(x)\Big)\) Here \(\mathrm{SuExq2}\) is SuperExponential to base \(\sqrt{2}\) constricted as regular iteration at fixed point 4 and placed so that \(\ \mathrm{SuExq2}(0)\!=\!1\ \). == C++ == /* ado.cin, <!--[[Con...) | ||||
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21:31 T talk contribs uploaded File:AteSuExq2mapU.png ({{oq|AteSuExq2mapU.png|Original file (2,511 × 1,706 pixels, file size: 183 KB, MIME type: image/png)|400|}} Complex map of combination of two functions: natural ArcTetration «ate» and growing superexponential to base \(\sqrt{2}\). \(f(z)=\mathrm{ate}\Big(\mathrm{SuExq2}(z)\Big)\) The map is shown with lines \(u=\Re \big(f(x\!+\!\mathrm i y)\big)\) and lines \(v=\Im \big(f(x\!+\!\mathrm i y)\big)\) in the \(x,y\) plane. ==C++ generator of curves== /* files ado.cin, [[Co...) | ||||
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15:29 T talk contribs uploaded File:FactoriAsymp9ageeT.png ({{oq|FactoriAsymp9ageeT.png|Original file (800 × 667 pixels, file size: 68 KB, MIME type: image/png)|400}} Map of agreement \(a_9\) for displaced Stirling asymptotic for Factorial: \[ A(z)= \sqrt{2\pi z}\ \exp\left(\log\left(\frac{z}{\mathrm e} \right) z + \frac{1}{12 z}\left(1+ \frac{1}{z^2}\left(\frac{-1}{30}+ \frac{1}{z^2}\left(\frac{1}{105}+ \frac{1}{z^2}\left(\frac{-1}{140}+ \frac{1}{z^2}\left(\frac{1}{99}+ \frac{1}{z^2}\left(\frac{-691}{30030} \right) \right) \right) \right)...) | ||||
