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5 February 2026
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10:28 | (Upload log) [T (2×)] | |||
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10:28 T talk contribs uploaded File:SuTraAsy3plotT.png ({{oq|SuTraAsy3plotT.png|Original file (737 × 638 pixels, file size: 22 KB, MIME type: image/png)|360}} ==Summary== Explicit plot of function SuTra of real input, pink curve \(\ y=\mathrm{SuTra}(x) \ \) and its asymptotics. SuTra is superfunction for the Trappmann function \( \ z\mapsto z\!+\!\exp(z)\ \).<br> Function SuTra is specified as «Entire Function with Logarithmic Asymptotic».<br> It is described in book «Superfunctions»<ref name="book"> https://mizug...) | ||||
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09:41 T talk contribs uploaded a new version of File:SuTraAsyQ2ateT.png (misprint, there was wrong sign in formula y=x-0.7) | ||||
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10:04 | File:SuTraAsyQ2ateT.png 7 changes history +5,844 [T (7×)] | |||
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10:04 (cur | prev) +5 T talk contribs →Keywords: zex | |||
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09:58 (cur | prev) 0 T talk contribs →Keywords | |||
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09:43 (cur | prev) +801 T talk contribs misprint, wording, attribution | ||||
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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
| m 13:40 | File:FactorialAsymPlotT.png diffhist -16 T talk contribs | ||||
| 13:37 | Upload log T talk contribs uploaded File:FactorialAsymPlotT.png ({{oq|FactorialAsymPlotT.png|FactorialAsymPlotT.png (708 × 487 pixels, file size: 48 KB, MIME type: image/png) |}} Explicit plot of Factorial and its primitive Stirling asymptotic \[ A(x)=\sqrt{2\pi x} \exp\!\big(\log(x/\mathrm e)\ x\big) \] The green curve shows he Residual \[ R(x) = x! - A(x) \] The blue curve shoes the Logarithmic residual \[ r(x) = \log(x!) - \log(A(x)) \] A large \(x\) the residual \( R(x) \) becomes infinite, but \[ \lim_{x\to +\infty} r(x)=0 \]...) | ||||