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• Mathematics of Computation
  [[Mathematics of Computation]] ([[MOC]]) is [[Scientific journal]] dedicated to numerical analysis, computational discrete mathematics, number theory, algebra, combinatorics, and related fields.
  2 KB (344 words) - 07:02, 1 December 2018

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• Logic
  <b>Logic</b> is part of mathematics that deals with Boolean algebra. This algebra deals with logical variables. Creation of logics is usually attributed to [[George Bool]]
  8 KB (1,403 words) - 14:24, 20 June 2013
• Tetration
  is the \(\mathbb C \mapsto \mathbb C\) function, which is solution of equations ...n]] of [[exponential]] to base \(b\). Exponential is [[transfer function]] of tetration.
  21 KB (3,175 words) - 23:37, 2 May 2021
• Mapping
  ...space to itself or to another space, and also the graphical representation of such a function. Such a representation is called '''map'''. ...surface of the Earth (or that of another planet) is mapped to the surface of
  14 KB (2,275 words) - 18:25, 30 July 2019
• Superfunction
  [[Superfunction]] comes from iteration of some function. ...derbrace{T\Big(T\big(... T(t)...\big)\Big)}} \atop {z \mathrm{~evaluations~of~function~}T\!
  25 KB (3,622 words) - 08:35, 3 May 2021
• Natural pentation
  [[Natural pentation]] is [[supefrunction]] of [[natural tetration]] tet; [[natural pentation]] satisfies the [[transfer e ...atural tetration]], which is solution \(L=L_0\approx -1.8503545290271812\) of equation \(\mathrm{tet}(L)=L\).
  7 KB (1,090 words) - 18:49, 30 July 2019
• Place of science in the human knowledge
  [[Place of Science in the Human Knowledge]] ([[Place of science in the human knowledge]])
  100 KB (14,715 words) - 16:21, 31 October 2021
• Место науки в человеческом знании
  ..." style="float:right;width:246px"><div style="width:260px"><small>Examples of things considered as [[science]]:</small> [[Complex map]] of function [[AuSin]]</small> !-->
  111 KB (2,581 words) - 16:54, 17 June 2020
• Square root of factorial
  ...l]] (half-iteration of [[Factorial]]), or \(\sqrt{!\,}\) is solution \(h\) of equation \(h(h(z))=z!\). ...=\mathrm{Factorial}\). It is assumed that \(z\!=\!2\) is [[regular point]] of \(\sqrt{!\,}(z)\), and
  13 KB (1,766 words) - 18:43, 30 July 2019
• Holomorphic extension of the Collatz subsequence
  Terras, R. "On the Existence of a Density." Acta Arith. 35, 101-102, 1979. is subsequence of the [[Collatz sequense]]
  5 KB (798 words) - 18:25, 30 July 2019
• Regular Iteration
  A [[fractional iterate]] $\phi$ of an analytic function $f$ at fixpoint $a$ is called regular, iff $\phi$ is a ...ait 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
  '''SuperFactorial''', or "superfactorial" is [[superfunction]] of [[factorial]] constructed at its [[fixed point]] 2. Here, the upper index of a function indicates the number of [[iteration]]s.
  18 KB (2,278 words) - 00:03, 29 February 2024
• Abel function
  ...er function]] \(T\), the '''Abel function''' \(G\) is [[inverse function]] of the corresponding [[superfunction]] \(F\), id est, \(G=F^{-1}\). In certain range of values of \(z\), this equation is equivalent of the [[Transfer equation]]
  4 KB (547 words) - 23:16, 24 August 2020
• Transfer function
  [[File:KellerDoyaT.png|300px|thumb|Transfer functions of laser amplifiers with simple kinetics for the short pulses ([[Keller functi ...ion of the state of the system in terms of its state at the precedent step of evolution.
  11 KB (1,644 words) - 06:33, 20 July 2020
• Japan
  [[File:Japan.gif|320px]] Map of Japan by [[CZ]]<ref name="CZpic">http://en.citizendium.org/wiki/Japan</ref> ...日本 , にほん)　is country in the Pacific Ocean, near the East side of Asia,
  15 KB (2,106 words) - 13:37, 5 December 2020
• ArcTetration
  [[ArcTetration]] \( \mathrm{ate} \) is inverse function of [[tetration]] .... Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation 78 (2009), 1647-1670.
  7 KB (1,091 words) - 23:03, 30 November 2019
• Fixed point
  [[File:Tet5loplot.jpg|400px|thumb|Graphical search for the [[fixed point]]s of [[tetration]]; \(y\!=\!\mathrm{tet}_b(x)\) versus \(x\) for various \(b\) ] For a given function \(f\), the '''fixed point''' is solution \(L\) of equation
  4 KB (574 words) - 18:26, 30 July 2019
• Mathematica
  ...upports this language, developed by the [[Wolfram corporation]] in the end of century 20 for ...ation of functions, plotting graphics and other things that require some [[mathematics]].
  12 KB (1,901 words) - 18:43, 30 July 2019
• Doya function
  The [[Doya function]] and its iterates appear as the [[transfer function]] of an [[optical amplifier]] with simplest kinetic model. In vicinity of the real axis (While \(|\Im(z)| \!<\! \pi\)), the [[Doya function]] can be
  19 KB (2,778 words) - 10:05, 1 May 2021
• Table of superfunctions
  ...nction \(T\), called [[transfer function]], the holomorphic solution \(F\) of [[Transfer equation]] In any pair of holomorphic functions \(F\), \(G\!=\!F^{-1}\),
  11 KB (1,565 words) - 18:26, 30 July 2019
• Square root of exponential
  ...root of exponential]] \(\varphi=\sqrt{\exp}=\exp^{1/2}\) is half-iteration of the [[exponential]], id est, such function that its second iteration gives ...rphi\) is assumed to be [[holomorphic function]] for some domain of values of \(z\).
  5 KB (750 words) - 18:25, 30 July 2019

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