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Create the page "Sqrt(2)" on this wiki! See also the search results found.

• Factorial
  | 2 || 2 :<math> n! = n \cdot (n-1) \cdots 2 \cdot 1 , \,</math>
  27 KB (3,925 words) - 18:26, 30 July 2019
• Tetration
  ...\(b\!>\!1\), is holomorphic at least in \(\{ z \in \mathbb C : \Re(z)\!>\!-2\}\). http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html <br>
  21 KB (3,175 words) - 23:37, 2 May 2021
• Tetre2215.cc
  // for \(-2<x<2\) and \(1<b<5\) the \(x\),\(b\) coordinates shown with lines \(f=\)const.<b z_type old0(z_type d){ z_type q=sqrt(d); return -1.0018
  6 KB (1,030 words) - 18:48, 30 July 2019
• 4t1c.cc
  { -7.5, 81.4, 6.2, 2}, { -39.0, 80.0, 6.2, 3},
  3 KB (564 words) - 18:33, 28 April 2023
• Mapping
  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.
  14 KB (2,275 words) - 18:25, 30 July 2019
• Superfunction
  [[Image:Sqrt(factorial)LOGOintegralLOGO.jpg|200px]]<small> [[File:QexpMapT400.jpg|200px]]<br><small><center> \(u+\mathrm i v=\sqrt{\exp} (x+\mathrm i y)\)</center></small>
  25 KB (3,622 words) - 08:35, 3 May 2021
• Место науки в человеческом знании
  2. <i>Постепенное изменение генотипа из 48 хр ...ец. Заседание Президиума. 'Наука Урала' No. 2 (830), январь 2003.
  111 KB (2,581 words) - 16:54, 17 June 2020
• Logiu.cin
  C3=2. /((1.-Q)*(1.-Q2) C5=2.*(7.+Q*(3.+Q*2.)) /((1.-Q)*(1.-Q2)*(1.-Q3)*(1.-Q4
  3 KB (513 words) - 18:48, 30 July 2019
• Square root of factorial
  ...le:SquareRootOfFactorial.png|400px|right|thumb| \(y\!=\! x!\) and \(y\!=\!\sqrt{!\,}(x)\) verus \(x\)]] [[Square root of factorial]] (half-iteration of [[Factorial]]), or \(\sqrt{!\,}\) is solution \(h\) of equation \(h(h(z))=z!\).
  13 KB (1,766 words) - 18:43, 30 July 2019
• Arcfactorial
  : \(\mathrm{ArcFactorial}(2)=2\) ...aystyle \mathrm{ArcFactorial}\left( \frac{\sqrt{\pi}}{2}\right)\!=\frac{1}{2}\)
  3 KB (414 words) - 18:26, 30 July 2019
• Holomorphic extension of the Collatz subsequence
  n/2 , \mathrm{ ~~if~~ } n/2 \in \mathbb N \\ (3n\!+\!1)/2 ~ \mathrm{~~over-vice}
  5 KB (798 words) - 18:25, 30 July 2019
• 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
• Nest
  :\(\sqrt{!\,}(z)=\mathrm{Nest}[\mathrm{Factorial},z,1/2]\) ...n function Nest is usable; for example, expression \(~\mathrm{Nest}[\sin,z,2]~\) returns \(~\sin(\sin(z))~\).
  3 KB (438 words) - 18:25, 30 July 2019
• Japan
  ...an allows the nation to avoid big conflicts at least since the [[World War 2]]. Such a culture seems to be somehow related with the language, although t ...of the [[Physics Department of the Moscow State University]]), id est, \(\sqrt{!\,}\), !-->
  15 KB (2,106 words) - 13:37, 5 December 2020
• Quantum reflection
  ::\( \displaystyle \lambda\left(x\right)=\frac{h}{\sqrt{2m\big(E-V(x)\big)}} \) ...suddenly switched-off. Then, the speed of atoms is determined as <math>~v=\sqrt{2gh}~</math>, where <math>~g~</math> is [[acceleration of free fall]], and
  16 KB (2,453 words) - 18:26, 30 July 2019
• Ridged mirror
  ...'' of period <math>~L~</math>; this estimate is valid at <math>KL\!~\theta^2\ll 1</math>. See [[quantum reflection]] for the approximation (fit) of the <math>~\displaystyle r \approx \exp\!\left(-\sqrt{8\!~K\!~L}~\theta\right)~</math>, <!--where <math> ~K~</math> is wavenumber
  6 KB (906 words) - 07:04, 1 December 2018
• ArcTetration
  For base \( b\!=\!\mathrm e \!\approx\! 2.71 \), the natural ArcTetration is presented in figure at right with the [[ ...special function. [[Vladikavkaz Mathematical Journal]], 2010, v.12, issue 2, p.31-45.
  7 KB (1,091 words) - 23:03, 30 November 2019

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