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- ..., that provides approximation of [[natural tetration]] for moderate values of the argument. // This fit had been used to guess the asymptotic behaviour of [[tetration]] at \(\mathrm i \infty\).1 KB (253 words) - 18:48, 30 July 2019
- [[File:TangentGraphic2.png|300px|thumb|Linear approximation of a smooth function <ref>http://en.wikipedia.org/wiki/Linear_approximation [[Linear approximation]] refers to the simple model of any phenomenon, based on the linear function.4 KB (670 words) - 18:46, 30 July 2019
- ...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
- ...simple combination of the [[Bessel function]] [[BesselJ0]] with elementary functions: where \(L_1\!=\)[[BesselJZero]][0,1]\(\approx\! 2.4\) is the first zero of the Bessel function; \(J_0(L_1)=0\).5 KB (750 words) - 10:00, 20 July 2020
- ...ic bell function») is kind of functions usable for approximation of shapes of simple peaks, ...with some [[special function]] (preferably an elementary function) instead of complicated numerical solution or experimental data.3 KB (396 words) - 11:44, 15 August 2022
- [[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
- ...onic oscillator wave function''' refers to the normalised solution \(F_n\) of the stationary Schroedinger equation for the idealised dimension-less Harmo ...gative \(n\), the solution \(F_n\) can be expressed in terms of elementary functions,6 KB (846 words) - 18:47, 30 July 2019
- [[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
- 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
- ...jpg|300px|thumb|\(y\!=\!\mathrm{maga}(x)\) (thick black curve) and related functions]] ...aga]] appears at the consideration of the principal mode guided by the set of pinholes, and expresses the8 KB (1,256 words) - 18:44, 30 July 2019
- [[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 \(G\) with10 KB (1,447 words) - 18:27, 30 July 2019
- ...n." From MathWorld--A Wolfram Web Resource. </ref>, is solution \(W=W(z)\) of equations ==Relation with other functions==8 KB (1,107 words) - 18:26, 30 July 2019
- At the edges of this range, the Yulya function becomes infinite. The '''ArcYulya function''' is just inverse function of Yulya, id est, \(\mathrm{ArcYulya}_a=\mathrm{Yulya}_a^{-1}\) in such a way,12 KB (1,754 words) - 18:25, 30 July 2019
- Let some complex–valued function \(A\) be defined for real values of the argument, id est, ...integral converges, then, function \(B\) is called '''Fourier transform''' of function \(A\).11 KB (1,501 words) - 18:44, 30 July 2019
- [[Stirling]] («Stirling's Approximation», [[StirlingsApproximation]] <ref>https://mathworld.wolfram.com/StirlingsA Stirling's approximation gives an approximate value for the factorial function n! or the gamma funct11 KB (1,472 words) - 15:44, 28 January 2026
- [[AuNem]] is [[Abel function]] of the [[Nemtsov function]], \(\mathrm{Nem}_q(z)=z+z^3+q z^4 ~ ~\), where \(q~ Value of \(q\) can be indicated as subscript after the name of the function.9 KB (1,475 words) - 06:38, 22 December 2025
- [[File:Penplot.jpg|300px|thumb|\(y=\mathrm{pen}(x)\) and related functions.]] [[Natural pentation]] is [[supefrunction]] of [[natural tetration]] tet; [[natural pentation]] satisfies the [[transfer e7 KB (1,090 words) - 18:49, 30 July 2019
- ...of [[exponent]] to base \(b=\sqrt{2}\); lines of constant \(u\) and lines of constant \(v\) show ...f [[Logarithm]] to base \(b=\sqrt{2}\); lines of constant \(u\) and lines of constant \(v\) show3 KB (557 words) - 18:46, 30 July 2019
- ...]] about meanings of terms relates to computation, calculation, evaluation of some quantities. This refers to specification of any objects in terms of numbers.7 KB (1,061 words) - 10:11, 23 January 2026
- ...in the calculus of the loss in the [[pinhole waveguide]] in the [[paraxial approximation]]. The integrand for the overlapping of the [[Bessel mode]] to the propagated [[Bessel mode]] is expressed through14 KB (1,943 words) - 18:48, 30 July 2019