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5 February 2026
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01:34 | File:SuTraAsyQ2ateT.png 4 changes history +5,038 [T (4×)] | |||
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01:34 (cur | prev) 0 T talk contribs →Description of the curves: misprint, sign of the "shift" | |||
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01:21 (cur | prev) +6 T talk contribs mistake with color | |||
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01:16 (cur | prev) 0 T talk contribs →Description of the curves: misprints "Paulsen" | |||
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01:15 (cur | prev) +5,032 T talk contribs rewrote the description, add refs | ||||
4 February 2026
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16:23 | File:SuTraAsyQ2ateT.png 2 changes history -14 [T (2×)] | |||
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16:23 (cur | prev) -14 T talk contribs | ||||
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16:21 (cur | prev) 0 T talk contribs →Keywords | |||
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16:13 | (Upload log) [T (2×)] | |||
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16:13 T talk contribs uploaded File:SuTraAsyQ2ateT.png ({{oq|SuTraAsyQ2ateT.png|Original file (644 × 1,235 pixels, file size: 28 KB, MIME type: image/png)|600}} Atemptotic Asym (thick light blue curve) of function SuTra (pink curve) through the growing SuperExponential to base \(\sqrt{2}\). Here, term Atemptotic means the Restrict asymptotic with natural ArcTetration \(\mathrm{ate}\) as the Criterion function. \[ \mathrm{SuTra}(x)\ \underset{\overset{x\to +\infty}{x>0}}{{\overset{\mathrm{ate}}{\Larg...) | ||||
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03:43 T talk contribs uploaded File:SuTraAsyQplotT.png ({{oq|SuTraAsyQplotT.png|Original file (644 × 1,235 pixels, file size: 27 KB, MIME type: image/png)|480}} Explicit plot of function SuTra and its Abelexponential asymptotic. ==Desciption== The thick curves represent the following Special functions. <big><b><span style="color:#00E">Blue curve: </span></b></big></span></b></big> \(\ y=\mathrm{Asym}(x)=\mathrm{SuExp}_{\sqrt{2},4,5}(x\!-\!x_{\mathrm{stq2}}) \) ; this is ArctetralAsymptotic of function SuTra with growing [[Supe...) | ||||
30 January 2026
| 23:23 | Upload log T talk contribs uploaded File:SuTraAsy2plotT.png ({{oq|SuTraAsy2plotT.png|Original file (819 × 708 pixels, file size: 75 KB, MIME type: image/png)|400}} Function SuTra of real argument and its asympototics. at large negative values of the input, \[ \mathrm{SuTra}(x) \sim -\ln(-x) \] At large positieve values of the input, \[ \mathrm{SuTra}(x) \underset{\mathrm{ate},\ x\to +\infty}{\sim} \mathrm{tet}(x\!-\!x_{\mathrm {st}} ) \] The finger estimate suggests that \(\ x_{\mathrm {st}} \approx 0.7 \) Function SuTra is specifie...) | ||||
29 January 2026
| 10:13 | Upload log T talk contribs uploaded File:AteSuFacMapV.png ({{oq|AteSuFacMapV.png|Original file (1,319 × 1,295 pixels, file size: 125 KB, MIME type: image/png)|480}} Complex map of combination of natural ArcTetration and SuperFactorial: \(f(z)=\mathrm{ate}\Big(\mathrm{SuFac}(z)\Big)\) The map is shown in the top picture with lines \(u=\Re \big(\mathrm{f}(x\!+\!\mathrm i y)\big)\) and lines \(v=\Im \big(\mathrm{f}(x\!+\!\mathrm i y)\big)\) in the \(x,y\) plane. The view of the map hints the conjecture about the asymptotic of...) | ||||
