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• Regular Iteration
  http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html ...H.Trappmann. Portrait of the four regular super-exponentials to base sqrt(2). Mathematics of Computation, 2010, v.79, p.1727-1756.
  20 KB (3,010 words) - 18:11, 11 June 2022
• SuperFactorial
  ..." is [[superfunction]] of [[factorial]] constructed at its [[fixed point]] 2. The smallest integer larger than 2 (id est 3) is chosen as its value at zero, \(\mathrm{SuperFactorial}(0)=3~\
  18 KB (2,278 words) - 00:03, 29 February 2024
• Abel function
  : \(T^2(z)=T(T(z))\) ...H.Trappmann. Portrait of the four regular super-exponentials to base sqrt(2). Mathematics of Computation, 2010, v.79, p.1727-175
  4 KB (547 words) - 23:16, 24 August 2020
• Transfer function
  http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html<br> ...H.Trappmann. Portrait of the four regular super-exponentials to base sqrt(2). Mathematics of Computation, 2010, v.79, p.1727-1756.
  11 KB (1,644 words) - 06:33, 20 July 2020
• Refutability
  (2) Confirmations should count only if they are the result of risky pre dictio (2) Confirmations should count only if they are the result of <i>risky pre dic
  44 KB (5,981 words) - 21:41, 22 June 2020
• ArcTetration
  ...verse function of [[tetration]], the ArcTetration \( \mathrm {ate}_b \) to base \( b \) satisfies the relations For base \( b\!=\!\mathrm e \!\approx\! 2.71 \), the natural ArcTetration is presented in figure at right with the [[
  7 KB (1,091 words) - 23:03, 30 November 2019
• B271az.cc
  // showing the [[complex map]] of [[ArcTetration]] to base e. // for(m=-2;m<0;m+=2) {M(-4.6,m-.2) fprintf(o,"(%1d)s\n",m);}
  3 KB (529 words) - 14:32, 20 June 2013
• Fslog.cin
  // [[ArcTetration]] to base e: ,-2.37977019901803332758
  5 KB (275 words) - 07:00, 1 December 2018
• Resolution
  : \( d=\lambda/(2~ \mathrm {NA})\) In particular the [[4Pi Microscope]] is claimed to provide \(d\) for 2 orders of magnitude
  12 KB (1,898 words) - 18:25, 30 July 2019
• Tania function
  : \(\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \displaystyle (2) ~ ~ ~ Tania function has two [[branch point]]s: \(~ -\!2\!\pm\! \mathrm i \pi~\). The position of the [[cut line]]s depends on the r
  27 KB (4,071 words) - 18:29, 16 July 2020
• Doya function
  : \( \displaystyle \!\!\!\!\!\!\!\!\!\!\!\!\!\!\! (2) ~ ~ ~ \mathrm{Doya}(z)= \mathrm{Tania}\!\Big(1+\mathrm{ArcTania}(z)\Big)\) :\(t\!=\!2\), id est, \(~\mathrm{Doya}^2(x)=\mathrm{Doya}\big(\mathrm{Doya}(x)\big)\)
  19 KB (2,778 words) - 10:05, 1 May 2021
• Table of superfunctions
  : \( \!\!\!\!\!\!\!\!\!\!\!\! (2) ~ ~ ~ G(T(z))=G(z)+1 \) | \(\displaystyle \frac{-a^2}{z}\)
  11 KB (1,565 words) - 18:26, 30 July 2019
• Square root of exponential
  [[Square root of exponential]] \(\varphi=\sqrt{\exp}=\exp^{1/2}\) is half-iteration of the [[exponential]], id est, such function that its ...{1/2}\); in the range of holomorphism, the last can be reduced to \(\exp(z/2)\).
  5 KB (750 words) - 18:25, 30 July 2019
• Iteration
  ...T.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 va
  14 KB (2,203 words) - 06:36, 20 July 2020
• Natural tetration
  [[Natural tetration]] is [[tetration]] to base \(\mathrm e=\exp(1)\approx 1.71~\). ...)\) is holomorphic in the whole complex plane except the line \(\Re(z)\le -2\).
  14 KB (1,972 words) - 02:22, 27 June 2020
• Квадратный корень из факториала
  : \(\sqrt{\,!\,}(х)=\mathrm{Factorial}^{1/2}(x)\) ...ion of the logistic sequence. Moscow University Physics Bulletin, 2010, No.2, p.91-98
  6 KB (312 words) - 18:33, 30 July 2019
• Demandas de protestadores 2011
  2. Renuncia del coronel Vladímir Putin, responsable político de la falsific ...s para todas las fuerzas políticas existentes y la posibilidad de crear a base de éstos bloques electorales.
  4 KB (559 words) - 14:34, 20 June 2013
• Корень из факториала
  ...овинной итерации экспоненты \(\sqrt{\exp}=\exp^{1/2}\) ...ion of the logistic sequence. Moscow University Physics Bulletin, 2010, No.2, p.91-98
  7 KB (381 words) - 18:38, 30 July 2019
• Filog.cin
  // [[Fixed point]] of [[logarithm]] to base \(\exp(z)\) is evaluated with routine complex double Filog(complex double z z_type TaniaS(z_type z){int n; z_type s,t=z+z_type(2.,-M_PI);t*=2./9.; t=I*sqrt(t);
  2 KB (258 words) - 10:19, 20 July 2020
• Filog
  ...function]] that expresses the [[fixed point]]s of [[logarithm]] to complex base. for base \(b\!=\!\exp(z)\).
  4 KB (572 words) - 20:10, 11 August 2020

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