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• ArcSin
  In vicinity of the branch point, the approximation can be written as follows: For the complex double implementation, the approximation of the table above can be used:
  9 KB (982 words) - 18:48, 30 July 2019
• Coshc
  The replacement of \(J\) and \(H\) to thier approximations gives the approximation<br>
  4 KB (509 words) - 18:26, 30 July 2019
• ArcCosc
  The truncated series with tree terms gives approximation called \(\mathrm{Left}_3\) shown at the figure; it approximates ArcCosc at ...expansions of the function at its branch points is used to get the primary approximation, then the value is adjusted with the Newton algorithm.
  8 KB (1,137 words) - 18:27, 30 July 2019
• Wakame
  The numerical solution of the equation (3) gives the approximation
  4 KB (581 words) - 18:25, 30 July 2019
• Acosc1
  For comparison, in the figure the approximation of [[ArcCosc]] is also shown: All the three approximations above look very similar; they give hint for the approximation of other branches of the inverse of function [[Cosc]].
  6 KB (896 words) - 18:26, 30 July 2019
• ArcFactorial
  ...00.png|600px|right|thumb|\(y=\mathrm{ArcFactorial}(x)\) and its asymptotic approximation]]
  3 KB (376 words) - 18:26, 30 July 2019
• Paraxial approximation
  ==Application of paraxial approximation== ...optic for visible range of electromagnetic waves referred to the paraxial approximation, although the equation (3) is attributed to Ginsgurg and Landau and corresp
  3 KB (496 words) - 18:25, 30 July 2019
• Bessel transform
  ...ropagation of waves with circular (radial) symmetty. <!--in the [[paraxial approximation]] !-->
  8 KB (1,183 words) - 10:21, 20 July 2020
• Absorbing Schroedinger
  ...d for various sets of parameters, varying for orders of magnitude, so, the approximation (13) happens to be pretty universal. This gives the approximation for the tranzversal wavenumber \(p\) in the following form:
  15 KB (2,070 words) - 18:47, 30 July 2019
• BesselJ0
  The precision of corresponding approximation of [[BesselJ0]]\((x)\) reaches the machine precision at \(x>20\).
  6 KB (913 words) - 18:25, 30 July 2019
• ArcSinc
  On the base of this expansion, the approximation
  4 KB (563 words) - 18:27, 30 July 2019
• Discrete Hankel transform
  The error of this approximation reduces as \(1/M^3\) and can be fitted with function \(\displaystyle d_M=\f
  7 KB (1,063 words) - 18:25, 30 July 2019
• Guiding of waves between absorbing walls
  In the [[quasimonochromatic approximation]], the exponential dependence of wave function on time \(t\) is assumed: ...n, that is supposed to depend on time very slowly if at all; in the simple approximation \(\psi\) is function of only few spacial coordinates; for example, \(x\) an
  5 KB (743 words) - 18:47, 30 July 2019
• History
  ..., postulated in these books, are just false. For this reason, as the first approximation,
  8 KB (1,149 words) - 21:13, 9 March 2021
• Joseph Stalin
  These documents can be considered as the "working hypothesis", "0th approximation" at the reconstruction of historic events of century 20.
  16 KB (1,789 words) - 01:57, 12 July 2020
• DCTIV
  ==Approximation of the CosFourier transform== ==Approximation of the Fourier coefficients==
  3 KB (421 words) - 18:26, 30 July 2019
• DCTI
  ==Approximation of the [[CosFourier]]== For the discrete approximation of this operator, assume some large natural number \(N\). Let \(x_n=\sqrt{\
  10 KB (1,447 words) - 18:27, 30 July 2019
• DCT
  ...sh, or just the center of the interval between nodes. Correspondently, the approximation of the integral corresponds either to the [[rule of trapezes]] or to the [[
  10 KB (1,689 words) - 18:26, 30 July 2019
• Кот Шредингера
  ...etsov, E.Gomez. Automodulation of optical pulses and limits of single-mode approximation.
  5 KB (146 words) - 18:33, 30 July 2019
• DCTII
  ==Approximation of [[CosFourier]]== Note that [[DCTII]]\(_N\) approximation of CosFourier transform at points, displaced for half–step with respect t
  5 KB (682 words) - 18:27, 30 July 2019

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