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• SuZex
  Let \(~ x_n\) be real solution of equation \(F_n(x_n)=1\). ...th, similar to that of the [[SuperFactorial]] and that of [[tetration]] to base \(b>\exp^2(-1)=\exp(1/\mathrm e)\).
  7 KB (1,076 words) - 18:25, 30 July 2019
• SuZex approximation
  ...imations of [[SuZex]] with elementary functions. All the maps are supposed to be displayed in the same scale. ...positive part of the real axis. The superfunction \(F=\mathrm{SuZex}\) is real–holomorphic; \(F(z^*)=F(z)^*\),
  14 KB (2,037 words) - 18:25, 30 July 2019
• Schroeder equation
  where function \(~T~\) is supposed to be given, while constant \(s\) and function\(~g~\) should be constructed. ...er equation]]; the solutions (called [[Schroeder function]]s ) are related to the [[superfunction]]s and the [[Abel function]]s.
  8 KB (1,239 words) - 11:32, 20 July 2020
• Maps of tetration
  [[File:Ack3a600.jpg|400px|thumb|Base \(b=\sqrt{2}\approx 1.41\)]] [[File:Ack3b600.jpg|400px|thumb|Henryk base, \(b=\exp(1/\mathrm e)\approx 1.44\)]]
  5 KB (761 words) - 12:00, 21 July 2020
• Superfunctions
  In particular, results for [[tetration]], [[arctetration]] and [[iterate]]s of [[exponential]] are presented. Explicit plot: [[tetration]].
  15 KB (2,166 words) - 20:33, 16 July 2023
• Ackermann function
  ...no commonly accepted system of notations is established, at the reference to the Ackermann function, either the definition, or, at least, link should be ...ann function]]. Beeng written with capital, Ackermann, this word may refer to famous scientist [[Wilhelm Ackermann]]<ref>https://en.wikipedia.org/wiki/Wi
  10 KB (1,534 words) - 06:44, 20 July 2020
• 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
• Base sqrt2
  [[File:ExpQ2mapT.png|300px|thumb|[[Complex map|Map]] of [[exponent]] to base \(b=\sqrt{2}\); lines of constant \(u\) and lines of constant \(v\) show [[File:Logq2mapT1000.jpg|300px|thumb|[[Complex map|Map]] of [[Logarithm]] to base \(b=\sqrt{2}\); lines of constant \(u\) and lines of constant \(v\) show
  3 KB (557 words) - 18:46, 30 July 2019
• Pentation
  ...n]] of [[tetration]], constructed with [[regular iteration]] at its lowest real fixed point. ...\(\mathrm e=\exp(1)\approx 2.71\), then the tetration is called [[natural tetration]] and the corresponding pentation is called [[Natural pentation]].
  5 KB (803 words) - 18:48, 30 July 2019
• Special function
  ...s the way of evaluation of the function. In the most of cases, this refers to a [[holomorphic function]] of a single complex variable. 2. Alternative representations of the function, relation of the function to other elementary functions or with other special functions, defined earlier
  7 KB (991 words) - 18:48, 30 July 2019
• Nemtsov function and its iterates
  ...ion, prepared for publication, with goal to check the cross-references and to catch misprints, if any. In 1950, the interest to the non-integer iterates had been boiled-up with iterates of exponential an
  15 KB (2,392 words) - 11:05, 20 July 2020
• Shell-Thron region
  [[William Harold Paulsen]]. Tetration for complex bases. ...aper determined conditions for a unique solution the case where \( b \) is real and \(b>e^{1/e}\).
  7 KB (1,082 words) - 07:03, 13 July 2020
• Tet2Li3.cin
  ...ntation of approximation of [[tetration to base 2]] for moderate values of real part of argument and positive moderated values of the imaginary part of the #define Re(x) x.real()
  7 KB (724 words) - 14:58, 28 July 2020
• Tetration to base 2
  ...{tet}_2\) ) is special case of [[Tetration]] \(\mathrm {tet}_b\) while the base \( b\!=\!2\). ...real values of argument, [[tetration to base 2]] is compared to tetrations to other bases in Fig.1.
  6 KB (845 words) - 17:10, 23 August 2020
• Theorem on increment of tetration
  Fig.1. Asymptoric parameters of [[Tetration]] versus \(\beta\) [[Theorem on increment of tetration]] is statement about asymptotic behavior of solution of the [[Transfer equa
  4 KB (548 words) - 14:27, 12 August 2020
• Sledgehammer to crack a nut
  ...ut]] may refer to application of a strong, powerful, complicated formalism to a task that does not worth such an effort. [[Sledgehammer to crack a nut]] may refer to using a very powerful instrument or weapon, applying much more efforts, for
  5 KB (712 words) - 08:18, 9 May 2024

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