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• Mapping
  ...tself or to another space, and also the graphical representation of such a function. Such a representation is called '''map'''. ...e. Similarly, the geophysicists use some maps without to know what kind of function (it is called "projection") relates the position of a point on the surface
  14 KB (2,275 words) - 18:25, 30 July 2019
• Place of science in the human knowledge
  ...of the statistical significance of a “second” peak at the correlation function, using the Poissonian model of random (independent) distribution, that can Kouznetsov D, Bisson J-F, Ueda K, Scaling laws of disk lasers. Optical materials, 31, Issue 5, p.754-759 (2009)
  100 KB (14,715 words) - 16:21, 31 October 2021
• Место науки в человеческом знании
  [[Complex map]] of function [[AuSin]]</small> !--> ...s.uec.ac.jp/~dima/PAPERS/2009optmat.pdf D.Kouznetsov, J.-F.Bisson, K.Ueda, Scaling laws of disk lasers. Optical materials, 31, Issue 5, p.754-759 (2009)
  111 KB (2,581 words) - 16:54, 17 June 2020
• Regular Iteration
  ...or '''regular iterate''' refer to the [[fractional iterate]] a holomorphic function that is holomorphic in vicinity it its fixed point A [[fractional iterate]] $\phi$ of an analytic function $f$ at fixpoint $a$ is called regular, iff $\phi$ is analytic at $a$ or has
  20 KB (3,010 words) - 18:11, 11 June 2022
• Taylor–Green vortex
  The [[stream function]] of the Taylor–Green vortex solution, i.e. which satisfies <math> \mathb ...en vortex; in particular, with the appropriate rotations, translations and scaling.
  2 KB (292 words) - 18:26, 30 July 2019
• Japan
  (Half-iteration of [[factorial]], id est, such function \(f\) that \(f(f(x))=x!\)) also have been solved in Japan <ref name="fac"> ...ith laser ignition of targets; as soon, as the fundamental limits of power scaling of the [[thin disk laser]]s had been revealed <ref>
  15 KB (2,106 words) - 13:37, 5 December 2020
• Ridged mirror
  ===Scaling of the van der Waals force === ...ll 1</math>. See [[quantum reflection]] for the approximation (fit) of the function <math>~r_0~</math>.
  6 KB (906 words) - 07:04, 1 December 2018
• Doya function
  The [[Doya function]] and its iterates appear as the [[transfer function]] of an [[optical amplifier]] with simplest kinetic model. In vicinity of the real axis (While \(|\Im(z)| \!<\! \pi\)), the [[Doya function]] can be expressed through the
  19 KB (2,778 words) - 10:05, 1 May 2021
• Fourier transform
  Let some complex–valued function \(A\) be defined for real values of the argument, id est, Then, function \(B : \mathbb R \mapsto \mathbb C\) can be defined with
  11 KB (1,501 words) - 18:44, 30 July 2019
• Singapore 2011
  entitled <b>Transfer function of an amplifier and characterization of materials</b>. The slideshow D.Kouznetsov. Transfer function of an amplifier and characterization of Materials. Singapore 2011 November
  8 KB (1,147 words) - 18:44, 30 July 2019
• Bessel transform
  at order \(\nu\) is operator that converts function \(f\) to function \(g=\mathrm{BesselTransform}_\nu(f)\) such that where [[BesselJ]]\(_\nu\) is the [[Bessel function]], and
  8 KB (1,183 words) - 10:21, 20 July 2020
• Discrete Hankel transform
  ...re samples are taken at points related to the zeroes of the sine or cosine function. ...ion on the unit interval and \(j_{\nu,m}\) the \(m\)-th zero of the Bessel function \(J_\nu(x)\). Then the finite \(\nu\)-Hankel transform of \(f(t)\) is defin
  7 KB (1,063 words) - 18:25, 30 July 2019
• Zooming equation
  where \(~T~\) is some given function such that \(T(0)\!=\!0\) and \(~K~\) is constant, that depends on \(T\). at least in some vicinity of zero, and \(~K\!=\!T'(0)~\). Function \(~f~\) is requested to built-up.
  10 KB (1,627 words) - 18:26, 30 July 2019
• Nori
  ...y of the real axis \(\Re(z\ge 0\)) can be expressed through the [[morinaga function]] mori: where \(j_0=\,\)[[BesselJ0]] is the zeroth [[bessel function]], and \(L=\mathrm{BesselJZero}[0,1]\approx 2.404825557695773\) is its firs
  13 KB (1,759 words) - 18:45, 30 July 2019
• ArqNem
  [[ArqNem]] is one of the [[inverse function]]s of the [[Nemtsov function]] Nem: ...y value of parameter \(q\), it is indicated as subscript after the name of function Nem or ArqNem.
  7 KB (1,319 words) - 18:46, 30 July 2019
• Hermite Gauss mode
  The [[Classical Hermite Gauss]] with waist \(o\) can be obtained with scaling \(x \rightarrow ox\), \(z \rightarrow o^2z\), where \(A_m\) is scaling factor, that may depend on \(m\).
  8 KB (1,216 words) - 18:43, 30 July 2019
• Morinaga function
  [[File:MoriplotFragment.jpg|400px|thumb| [[Morinaga function]] and the principal Bessel mode]] [[Morinaga function]] \(\displaystyle
  15 KB (2,303 words) - 18:47, 30 July 2019
• Thermal diffusion of Gaussian
  ...thermal conductivity, that can easy included into the initial equation by scaling of the coordinate \(x\) and/or time \(t\). The scaling of coordinate and/or scaling of time allows to write the temperature distribution as follows:
  4 KB (554 words) - 18:43, 30 July 2019
• Taylor-Green vortex
  The [[stream function]] of the Taylor–Green vortex solution, i.e. which satisfies <math> \mathb ...en vortex; in particular, with the appropriate rotations, translations and scaling.
  2 KB (291 words) - 18:27, 30 July 2019
• Place of science
  ...of the statistical significance of a “second” peak at the correlation function, ...on is analysed. A theorem on the evolution of the fourth-order correlation function is presented. It provides the proof of the stability of the fundamental sol
  101 KB (14,271 words) - 20:58, 25 September 2020

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