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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 the
    8 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 \(G\) with
    10 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 funct
    11 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 e
    7 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 \(v\) show
    3 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 through
    14 KB (1,943 words) - 18:48, 30 July 2019

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