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• Mapping
  ...space can be interpreted as real and imaginary parts of the [[annihilation operator]] \(\hat a\). ...\) is the annihilation operator after the amplification; \(\hat U\) is the operator of evolution.
  14 KB (2,275 words) - 18:25, 30 July 2019
• Transfer function
  In the linear [[optics]], the transfer can be expressed as [[linear operator]], that describes the transform of light inside some system. ===Another superfunction for a linear function===
  11 KB (1,644 words) - 06:33, 20 July 2020
• Fixed point
  ...rator \(f\), the [[eigenfunction]] with eigenvalue unity is fixed point of operator \(f\).
  4 KB (574 words) - 18:26, 30 July 2019
• Tania function
  ...of the function is smoothly growing; the growth is similar to that of the linear function. At large values of the argument, Tania shows almost linear growth and can be expanded as follows:
  27 KB (4,071 words) - 18:29, 16 July 2020
• Fourier transform
  '''Fourier transform''' is linear integral transform with the exponential [[kernel]]. ==Fourier operator==
  11 KB (1,501 words) - 18:44, 30 July 2019
• Quantum Mechanics
  ...bservable [[physical quantities]] as [[Hermitian operator]]s acting on the linear space of [[vector of state|vectors of state]]. ...m]] is characterized with an element \(\psi\) of the [[linear space]]; any linear combinaiton of the states of a physical system is also interpreted as the s
  7 KB (1,006 words) - 18:26, 30 July 2019
• Iteration
  ...dicate the number of iterate is used also in [[quantum mechanics]] and the linear impulsive control ...on–integer iterate is simple and obvious in the case when the iterand is linear function; then the iteration can be expressed through the [[elementary func
  14 KB (2,203 words) - 06:36, 20 July 2020
• Fourier-2 transform
  Often both, the integral operator and the result of its application to some function are called "Fourier tran [[Category:Linear operator]]
  6 KB (954 words) - 18:27, 30 July 2019
• Bessel transform
  at order \(\nu\) is operator that converts function \(f\) to function \(g=\mathrm{BesselTransform}_\nu(f [[Category:Linear transforms]]
  8 KB (1,183 words) - 10:21, 20 July 2020
• DiscreteCos
  [[DiscreteCos]] is [[linear operator]] that provides the orthogonal transformation of an array of finite length [[DCTI]] is one of realizations of the [[DiscreteCos]] operator. The name is chosen in analogy with [[DCT]] by Wikipedia
  3 KB (482 words) - 18:26, 30 July 2019
• DCTIV
  The square of the DCTIV is identity operator: another discretization of the [[CosFourier]] operator, it est, [[DCT]], should be used.
  3 KB (421 words) - 18:26, 30 July 2019
• DCTI
  [[DCTI]] is one of realizations of the [[Discrete Cos transform]] operator. The orthonormaized transform can be defined with operator \(ふ_{\mathrm C1,N}\), that acts on array \(F\) in the following way:
  10 KB (1,447 words) - 18:27, 30 July 2019
• DCT
  ...All these operators are discrete analogies of the intergal [[CosFourier]] operator, and all use the equidistant mesh for the representation of the integrand a The discrete cosine transform is a [[linear]], invertible [[function (mathematics)|function]] ''F'' : '''R'''<sup>''N''
  10 KB (1,689 words) - 18:26, 30 July 2019
• DCTII
  ...te Cosine transform); it is one of many discrete analogies of the integral operator [[CosFourier]]. For a given natural number \(N\), operator \(\mathrm{DCTII}_N\) converts any array \(F\) of length \(N\) to the array
  5 KB (682 words) - 18:27, 30 July 2019
• DCTIII
  ...te Cosine transform); it is one of many discrete analogies of the integral operator [[CosFourier]]. For a given natural number \(N\), operator \(\mathrm{DCTIII}_N\) converts any array \(F\) of length \(N\) to the array
  6 KB (825 words) - 18:25, 30 July 2019
• Уроки Чернобыля
  http://www.guardian.co.uk/environment/2012/dec/14/fukushima-operator-tepco-culpability Fukushima operator Tepco admits culpability. guardian.co.uk, Friday 14 December 2012 09.14 GMT
  125 KB (3,105 words) - 08:04, 26 December 2019
• Conjugation
  ==Linear conjugation== Linear conjugation is special kind of conjugation (1),
  6 KB (921 words) - 18:46, 30 July 2019
• Eigendecomposition
  as an operator on subspace of vectors that are orthogonal to \(v\). However, this algorit [[Linear algebra]],
  4 KB (518 words) - 18:46, 30 July 2019
• Laplacian in spherical coordinates
  ...acian in spherical coordinates]] refers to the three-dimensional [[Laplace operator]] ...an in spherical coordinates]] is often used for separation of variables in linear equations with central symmetry.
  8 KB (1,254 words) - 18:44, 30 July 2019
• Legendre function
  For \(\ell\!=\!1\), the solution is linear function. [[Category:Differential operator]]
  3 KB (442 words) - 18:44, 30 July 2019

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