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• 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
• B271az.cc
  // for(m=-2;m<0;m+=2) {M(-4.6,m-.2) fprintf(o,"(%1d)s\n",m);} // for(m= 0;m<3;m+=2) {M(-4.4,m-.2) fprintf(o,"(%1d)s\n",m);}
  3 KB (529 words) - 14:32, 20 June 2013
• Mathematica
  ...plify]] does not seem to handle well expressions with imaginary unity , I=\Sqrt[-1] . b = (-1 + Exp[(-2*I)*q - 2*s])*(-1 + Exp[(2*I)*q - 2*s])
  12 KB (1,901 words) - 18:43, 30 July 2019
• Время
  ...ссия, расследовавшая катастрофу [[Катынь-2]] (10 апреля 2010 года), перевела часы на 15 мин ...ноября 2009 года уведомлений о проведении 2 декабря того же года траурных митингов, п
  22 KB (406 words) - 00:38, 30 October 2020
• Yulya function
  \frac{a\!+\!x}{\sqrt{1-(a\!+\!x)^2}}-\frac{a\!-\!x}{\sqrt{1-(a\!-\!x)^2}} :\( \!\!\!\!\! \!\!\!\!\! \!\!\!\!\! \!\!(2) ~ ~ ~ ~ \mathrm{Yulya}_a\!\Big( \mathrm{ArcYulya}_a(z) \Big) = z\)
  12 KB (1,754 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
• Doya.cin
  )))))); DO(n,2) s+=(z-ArcTania(s))/ArcTaniap(s); return s ; } // +x*(.2 +m*(-25./12 +m*(35./6. +m*(-5. +m)))) //reserve term for the testing
  3 KB (480 words) - 14:33, 20 June 2013
• Fourier transform
  : \(\!\!\!\!\!\!\!\!\!\!\!\!\!(1) ~ ~ ~ \displaystyle B(x)= \frac{1}{\sqrt{2\pi}} \int_{- \infty}^{\infty} \exp( - \mathrm{i} x y) A(y) ~ \mathrm{d} y \ ...!\!\!\!\!\!\!\!\!\!(2) ~ ~ ~ \displaystyle (\hat ふ A)(x)= \frac{1}{\sqrt{2\pi}} \int_{- \infty}^{\infty} \exp( - \mathrm{i} x y) A(y) ~ \mathrm{d} y
  11 KB (1,501 words) - 18:44, 30 July 2019
• Fafo.cin
  // n should be 2^m ; o should be 1 or -1 ; q=N/2; p=2; for(m=1;p<N;m++) p*=2;
  1 KB (238 words) - 14:33, 20 June 2013
• FFT
  B_k=\sum_{m=0}^{N-1} A_m \exp\Big(-\mathrm{i} \frac{2 \pi}{N}~ k~ m\Big)\) where \(N\) is natural number; usually, \(2^n\) for some natural \(n\);<br>
  6 KB (1,010 words) - 13:23, 24 December 2020

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