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• Natural tetration
  ...\) is assumed; the tetration approaches the fixed points \(L\) and \(L\)^* of exponential. Existence of natural tetration been indicated in 1950 by [[Hellmuth Kneser]] in 1950
  14 KB (1,972 words) - 02:22, 27 June 2020
• Institute for Laser Science
  is department of the [[University of Electro Communications]], located near [[Tokyo]], [[Japan]]. ...til road 20, cross road 20, walk left and enter the campus of [[University of Electro Communications]] tgrough the Sei-mon (main gate), walk North and We
  12 KB (1,757 words) - 07:01, 1 December 2018
• ArcSin
  [[File:AsimapT.png|400px|right|thumb|[[complex map]] of \(u\!+\!\mathrm i v\!=\!\arcsin(x\!+\!\mathrm i y)\)]] ...n''', or '''asign''', or '''arcsin''' is [[holomorphic function]], inverse of [[sin]];
  9 KB (982 words) - 18:48, 30 July 2019
• Coshc
  The derivative of coshc, id est, cosec', can be expressed with Functions \(~y\!=\!\mathrm{coshc}(x)~\) and \(~y\!=\!\mathrm{coshc}'(x)~\) are shown
  4 KB (509 words) - 18:26, 30 July 2019
• ArcCosc
  [[File:acoscmapT300.png|600px|thumb|[[complex map]] of \(u+\mathrm i v=\mathrm{acosc}(x+\mathrm i y)\)]] [[File:acoscplotT.png|600px|thumb| [[explicit plot]] of acosc and its asymptitics]]
  8 KB (1,137 words) - 18:27, 30 July 2019
• Wakame
  ...cplotT.png|400px|right|thumb|Graphic of function [[cohc]] by (4) and sense of constants [[Fune]] and [[Wakame]] ]] ...mber]], value of function [[cohc]] at its minimum [[Fune]] and singularity of function [[ArcCohc]] at the real axis;
  4 KB (581 words) - 18:25, 30 July 2019
• Acosc1
  ...uation of function [[ArcCosc]] behind the cut line along the negative part of the real axis. ...sc}_1\) to indicate that it defers to the first branch behind the cut line of function [[acosc]], which could be called also by name \(\mathrm{acosc}_0\)
  6 KB (896 words) - 18:26, 30 July 2019
• Bessel transform
  '''WARNING!''' The formulas of this article are not yet verified with pics, In publications, it is difficult to see difference between meanings of terms '''Hankel transform''' and '''Bessel transform''' is found. In TORI,
  8 KB (1,183 words) - 10:21, 20 July 2020
• BesselJ0
  ...elj0j1plotT.png|400px|thumb|Explicit plot of [[BesselJ0]] and [[BesselJ1]] of real argument ]]!--> [[Explicit plot]] of [[BesselY0]] (red), [[BesselJ1]] (green) and [[BesselJ0]] (blue)]]
  6 KB (913 words) - 18:25, 30 July 2019
• ArcSinc
  [[File:AsincplotT500.png|300px|right|thumb|Graphic of [[ArcSinc]] compared to two its asymptotics and [[ArcCosc]]]] '''ArcSinc''' is [[inverse function of [[sinc]]. ArcSinc is denoted also as \(\mathrm{asinc}=\mathrm{sinc}^{-1}\);
  4 KB (563 words) - 18:27, 30 July 2019
• Discrete Hankel transform
  '''Discrete Hankel transform''' is the numerical analogy of the [[Bessel transform]]. ...Fourier transform, where samples are taken at points related to the zeroes of the sine or cosine function.
  7 KB (1,063 words) - 18:25, 30 July 2019
• DCTI
  [[DCTI]] is one of realizations of the [[Discrete Cos transform]] operator. ...Transform of kind I, is orthogonal transform, that repalces an array \(F\) of length \(N+1\) with elements \(F_n\), \(n=0 .. N\) to the array \(G\) with
  10 KB (1,447 words) - 18:27, 30 July 2019
• DCT
  [[DCT]] may refer to the '''Discrete cosine transform'''. The four kinds of DCT are often in use; </ref>. In order to avoid numbers in the names of operators, they are called using the Roman numeral system:
  10 KB (1,689 words) - 18:26, 30 July 2019
• Exact solution
  ...to some specific way of evaluation of solution, with is at least an order of magnitude more efficient than all other methods reported previously. In particular, term "exact solution" may indicate conversion of the problem of some set to a problem from another set that is considered to be easier.
  2 KB (351 words) - 15:00, 20 June 2013
• Ocean wave solution
  Ocean wave solution is analytical expression of the idealized ocean wave in the [[Lagrangian coordinate]]s. ...waves at surface of liquid]] with slightly mofidied notations; the origin of coordinates is displaced in such a way, that point
  12 KB (1,879 words) - 18:26, 30 July 2019
• SuZex approximation
  [[File:SuZexMapT.jpg|600px|thumb|Fig.2.[[Complex map]] of function [[SuZex]]: \(~u\!+\!\mathrm i v= \mathrm{SuZex}(x_1+x\!+\!\mathrm ...ed to similar maps for various approximations of [[SuZex]] with elementary functions. All the maps are supposed to be displayed in the same scale.
  14 KB (2,037 words) - 18:25, 30 July 2019
• AuZex
  [[File:AuZexLamPlotT.jpg|620px|thumb|Fig.1. Plot of [[AuZex]] (thick curve) in comparison to [[LambertW]] (thin curve) ]] [[Auzex]] is inverse function of [[SuZex]]; \(\mathrm{AuZex} = \mathrm{SuZex}^{-1}\)
  6 KB (899 words) - 18:44, 30 July 2019
• Power function
  [[Power function]] ([[Степенная функция]]) is one of the primary [[elementary function]]s; ...eal plot of function \(T(z)\!=\!z^a\) is shown in Fig.1 for several values of \(a\).
  15 KB (2,495 words) - 18:43, 30 July 2019
• SuTra
  D.Kouznetsov, H.Trappmann. Superfunctions and square root of factorial. Moscow University Physics Bulletin, 2010, v.65, No.1, p.6-12. (R </ref> of the [[Trappmann function]], \(~\mathrm{tra}(z)=z+\exp(z)~\).
  9 KB (1,285 words) - 18:25, 30 July 2019
• ArcTra
  ArcTra is inverse of the [[Trappmann function]]; \(\mathrm{ArcTra}=\mathrm{tra}^{-1}\), where However the independent implementation of ArcTra can be arranged using its asymptotic properties.
  10 KB (1,442 words) - 18:47, 30 July 2019

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