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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...) | ||||
28 January 2026
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21:32 | (Upload log) [T (2×)] | |||
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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...) | ||||
