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• Tetration
  Natural [[tetration]] (dashed) and other [[Ackermann function|ackermanns]] [[Tetration]] (or Tetrational) \({\rm tet}_b\) to base \(b \in \mathbb R\), \(b\!>1\)<br>
  21 KB (3,175 words) - 23:37, 2 May 2021
• Regular Iteration
  '''Regular Iteration''' or '''regular iterate''' refer to the [[fractional iterate]] a holomorphic function that is holomorphic in vi ...d the fractional iterates, regular at different fixed points, have no need to coincide <ref name="sqrt2">
  20 KB (3,010 words) - 18:11, 11 June 2022
• Transfer function
  ...ansfer equation]], the [[Abel equation]]; the transfer function is assumed to be given function that appear in these equations. The solutions of these eq ...r a given transfer function, the additional restrictions should be applied to make the [[superfunction]] and the [[Abel function]] unique
  11 KB (1,644 words) - 06:33, 20 July 2020
• B271az.cc
  // showing the [[complex map]] of [[ArcTetration]] to base e. fprintf(o,"46 45 translate\n 10 10 scale\n");
  3 KB (529 words) - 14:32, 20 June 2013
• Tania function
  ...aniaT.png|350px|right|thumb| Comparison of [[Tania function]] (thin curve) to the [[Shoka function]] (thick curve) for real values of the argument]] ...maginary axis and then along the straight line (parallel to the real axis) to the point \(z\).
  27 KB (4,071 words) - 18:29, 16 July 2020
• Doya function
  ...for comparison of superfunctions \(F\) for various cases, it is convenient to keep relation \(F(0)=1\) (as it is accepted for [[tetration]], which is [[superfunction]] of [[exponential]]); for this reason, the [[T
  19 KB (2,778 words) - 10:05, 1 May 2021
• Table of superfunctions
  is called [[superfunction]] with respect to \(T\). ...se function, id est, \(G=F^{-1}\) is called [[Abel function]] with respect to \(T\); it satisfies the [[Abel equation]]
  11 KB (1,565 words) - 18:26, 30 July 2019
• Iteration
  The zeroth iteration of any non-trivial function is supposed to be [[Identity function]]. Similar notations, where the superscript is used to indicate the number of iterate is used also in [[quantum mechanics]] and th
  14 KB (2,203 words) - 06:36, 20 July 2020
• Natural tetration
  \(\mathrm{tet}(x),\mathrm e^x,10(\mathrm{tet}(x)-(x\!+\!1))\) [[Natural tetration]] is [[tetration]] to base \(\mathrm e=\exp(1)\approx 1.71~\).
  14 KB (1,972 words) - 02:22, 27 June 2020
• Tetration to Sheldon base
  ...g|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
• Iterated Cauchi
  The specific choice of the contour allows to express values f(t) through the left hans side of (9) with the Transfer equ A. integration along the line \(\Re(t)=1\) from \(t = 1−\mathrm i A\) to \(t = 1+\mathrm i A\),<br>
  6 KB (987 words) - 10:20, 20 July 2020
• SuZex approximation
  ...imations of [[SuZex]] with elementary functions. All the maps are supposed to be displayed in the same scale. Also, it is assumed that the solution \(F=\mathrm{SuZex}\) decays to the stationary point 0 of the transfer function \(T\) by (1) at infinity, e
  14 KB (2,037 words) - 18:25, 30 July 2019
• F2048ten.inc
  ...[[F2048ten.inc]] defines the approximations of [[tetration]] to base \(b=10\) along the imaginary axis at the interval (-20,20) in 2048 nodes of the qu // perhaps, Aten=20, and NPO =2048; NPO is supposed to be defined in GLxw.
  89 KB (7,127 words) - 18:46, 30 July 2019
• F4ten.cin
  ...rking directory) and the [[Transfer equation]] for the exponential to base 10 as [[transfer function]]. DB Lten=log(10.);
  2 KB (287 words) - 15:03, 20 June 2013
• Superfunctions
  In particular, results for [[tetration]], [[arctetration]] and [[iterate]]s of [[exponential]] are presented. ISBN-10: 3659562025
  15 KB (2,166 words) - 20:33, 16 July 2023
• Base e1e
  [[Base e1e]] refers to the value of base \(b= \eta =\exp(1/\mathrm e)\approx 1.4446678610\) ...corresponding [[exponential]], [[SuperExponential]] (in particular, the [[tetration]]) and the inverse functions.
  4 KB (559 words) - 17:10, 10 August 2020
• E1etf.cin
  // [[e1etf.cin]] is routine that evaluates [[tetration to Henryk base]] \(\eta=\exp(1/\mathrm e)\). s[3]= t*(t*(t- 5/ 2.)+ 5/ 2.)- 7/10.;
  2 KB (203 words) - 18:48, 30 July 2019
• Sqrt2f21e.cin
  // [[Sqrt2f21e.cin]] suggests routine F21E for evaluation of [[tetration]] to base \(b\!=\!\sqrt{2}\). //In order to evaluate \(\mathrm{tet}_{\sqrt{2}}(z)\), the routine should be called as F
  1 KB (109 words) - 18:48, 30 July 2019
• Sqrt2f23e.cin
  ...sts routine F21E for evaluation of real–holomorphic superexponential to base \(b\!=\!\sqrt{2}\). //In order to evaluate \(\mathrm{tet}_{\sqrt{2}}(z)\), the routine should be called as F
  2 KB (146 words) - 18:47, 30 July 2019
• Tartaria.Math
  ==Example with [[tetration]] to integer base for integer arguments== Is \( Y \) an integer factor of 10?
  3 KB (338 words) - 09:54, 14 January 2020
• Kuznetsova theorem
  ...tsova theorem]] refers to residual of division of [[tetration]] to integer base by any integer number. Here symbol tet veters to [[tetration]]. The base is indicated as subscript.
  1 KB (150 words) - 20:23, 23 January 2020
• Place of science
  ...s between science and other kinds of knowledge. This approach is suggested to exclude some concepts from the scientific knowledge by some formal criteria ...research is motivated by huge amount of fake results. Many of them pretend to be scientific.
  101 KB (14,271 words) - 20:58, 25 September 2020