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• Iteration
  [[File:PowIteT.jpg|400px|thumb|Fig.1. Iterates of \(T(z)=z^2~\): \(~y\!=\!T^n(x)\!=\!x^{2^n}~\) for various \(n\)]] [[File:FacIteT.jpg|400px|thumb|Fig.2. Iterates of [[Factorial]]: \(~y\!=\!\mathrm{Factorial~}^{~n}(x)~\) for various \(n\)]
  14 KB (2,203 words) - 06:36, 20 July 2020
• Theorem
  ...usually referring to [[mathematics]], that is proved baser on certain set of axioms. For example, the existence and uniqueness of the holomorphic [[tetration]] with certain properties is declared as theore
  2 KB (248 words) - 14:33, 20 June 2013
• Natural tetration
  ...\) is assumed; the tetration approaches the fixed points \(L\) and \(L\)^* of exponential. Existence of natural tetration been indicated in 1950 by [[Hellmuth Kneser]] in 1950
  14 KB (1,972 words) - 02:22, 27 June 2020
• Квадратный корень из факториала
  ...нглийской версии этой статьи, см. [[Square root of factorial]].
  6 KB (312 words) - 18:33, 30 July 2019
• Корень из факториала
  Корень из факториала ([[square root of factorial]]) – это такая функция \(h\), что ...amlib.ru/img/g/garik/dubinushka/index.shtml Logo of the Physics Department of the Moscow State University. (In Russian);
  7 KB (381 words) - 18:38, 30 July 2019
• Filog
  [[File:Filogbigmap100.png|400px|right|thumb|[[Complex map]] of Filog; \(u\!+\! \mathrm i v=\mathrm{Filog}(x\!+\! \mathrm i y)\) ]] ...t|thumb|\(u\!+\! \mathrm i v=\mathrm{Filog}(x\!+\! \mathrm i y)\), zoom in of the central part ]]
  4 KB (572 words) - 20:10, 11 August 2020
• Tetration to Sheldon base
  [[File:Shelre60.png|500px]]<small> Explicit plot of real and imaginary parts of tetration to base \(b\!=\!s\)</small> [[File:Shelima600.png|500px]]<small>Distribution of tetration to \(b\!=\!s\) along the imaginary axis</small>
  5 KB (707 words) - 21:33, 13 July 2020
• GLxw2048.inc
  '''GLxw2048.inc''' is text file, containing nodes and weights of the ...update to another number of points is straightforward. For moderate number of nodes (maximum 32), the
  108 KB (1,626 words) - 18:46, 30 July 2019
• Iterated Cauchi
  '''Iterated Cauchi''' is algorithm of iterative solution of the [[Transfer equation]] \(U=T^{-1}\) is also holomorphic in the working range of valies.
  6 KB (987 words) - 10:20, 20 July 2020
• Bessel transform
  '''WARNING!''' The formulas of this article are not yet verified with pics, In publications, it is difficult to see difference between meanings of terms '''Hankel transform''' and '''Bessel transform''' is found. In TORI,
  8 KB (1,183 words) - 10:21, 20 July 2020
• F45E.cin
  // [[F45E.cin]] is routine for evaluation of the [[superfunction]] of the [[exponential]] to base \(b\!=\!\sqrt{2}\), constructed at the fixed po ...ait of the four regular super-exponentials to base sqrt(2). Mathematics of Computation, v.271, July 2010, p.1727-1756.
  1 KB (139 words) - 18:48, 30 July 2019
• F45L.cin
  // [[F45E.cin]] is routine for evaluation of the [[Abel function]] of the [[exponential]] to base \(b\!=\!\sqrt{2}\), constructed at the fixed po ...ait of the four regular super-exponentials to base sqrt(2). Mathematics of Computation, v.271, July 2010, p.1727-1756.
  2 KB (163 words) - 18:47, 30 July 2019
• ArcLambertW
  One of the inverse function of [[ArcLambertW]] is called [[LambertW]] In wide ranges of values of \(z\), the relations
  3 KB (499 words) - 18:25, 30 July 2019
• SuZex
  [[SuZex]] is [[superfunction]] of [[ArcLambertW]], denoted also as [[zex]], \(\mathrm{zex}(z)=z \exp(z)\). The [[explicit plot]] of function [[SuZex]] is shown in Figure 1 in comparison with that function [[
  7 KB (1,076 words) - 18:25, 30 July 2019
• AuZex
  [[File:AuZexLamPlotT.jpg|620px|thumb|Fig.1. Plot of [[AuZex]] (thick curve) in comparison to [[LambertW]] (thin curve) ]] [[Auzex]] is inverse function of [[SuZex]]; \(\mathrm{AuZex} = \mathrm{SuZex}^{-1}\)
  6 KB (899 words) - 18:44, 30 July 2019
• Zooming equation
  at least in some vicinity of zero, and \(~K\!=\!T'(0)~\). Function \(~f~\) is requested to built-up. ...scribes the variation of value of function \(~f~\) at the scaling, zooming of its argument with factor \(~K~\).
  10 KB (1,627 words) - 18:26, 30 July 2019

• File:B271a.png [[Complex map]] of [[ArcTetration]] to base $\mathrm e \approx 2.71~$: ...nchpoints $L\!\approx \! 0.2+1.3 \mathrm i$ and $L^*$ are [[fixed point]]s of [[logarithm]]. (1,609 × 1,417 (506 KB)) - 08:30, 1 December 2018

• File:B271t.png ...p]] of tetration to base $\mathrm e$, isolines of real and imaginary parts of ==C++ generator of curves== (1,609 × 1,417 (791 KB)) - 08:30, 1 December 2018

• File:E1efig09abc1a150.png [[Complex map]]s of [[tetration]] $\mathrm{tet}_b$ to base<br> ...on of the Two Regular Super-Exponentials to base exp(1/e). (Mathematics of Computation, 2011, in press) (2,234 × 711 (883 KB)) - 08:34, 1 December 2018

• File:Esqrt2iterMapT.png [[Complex map]] of 1/3 th iteration of the [[exponential]] to [[base sqrt(2)]]. ...ait of the four regular super-exponentials to base sqrt(2). Mathematics of Computation, v.271, July 2010, p.1727-1756.</ref>, (1,092 × 1,080 (1.36 MB)) - 09:43, 21 June 2013

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