- orthonormal system
- мат. ортонормированная система
Большой англо-русский и русско-английский словарь. 2001.
orthonormal system
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Orthonormal function system — An orthonormal function system (ONS) is an orthonormal basis in a vector space of functions. See basis (linear algebra), Fourier analysis, square integrable, Hilbert space for more. Categories: Mathematics stubsLinear algebraFunctional analysis … Wikipedia
orthonormal — /awr theuh nawr meuhl/, adj. Math. 1. (of a system of functions) normal; normalized. 2. (of a set of vectors) having the properties that any two vectors are perpendicular and that each vector has a length of one unit. [1930 35; ORTHO + NORMAL] *… … Universalium
Biorthogonal system — In mathematics, a biorthogonal system is a pair of topological vector spaces E and F that are in duality, with a pair of indexed subsets: ilde v i in E and ilde u i in F such that: langle ilde v i , ilde u j angle = delta {i,j}with the Kronecker… … Wikipedia
Two-state quantum system — In quantum mechanics, a two state system (a.k.a. TLS=Two Level System) is a system which has two possible states. More formally, the Hilbert space of a two state system has two degrees of freedom, so a complete basis spanning the space must… … Wikipedia
Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… … Wikipedia
Wavelet series — In mathematics, a wavelet series is a representation of a square integrable (real or complex valued) function by a certain orthonormal series generated by a wavelet. This article provides a formal, mathematical definition of an orthonormal… … Wikipedia
Wavelet transform — An example of the 2D discrete wavelet transform that is used in JPEG2000. In mathematics, a wavelet series is a representation of a square integrable (real or complex valued) function by a certain orthonormal series generated by a wavelet … Wikipedia
Riesz–Fischer theorem — In mathematics, the Riesz–Fischer theorem in real analysis refers to a number of closely related results concerning the properties of the space L2 of square integrable functions. The theorem was proven independently in 1907 by Frigyes Riesz and… … Wikipedia
Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… … Wikipedia
Bra-ket notation — Quantum mechanics Uncertainty principle … Wikipedia
Secondary measure — In mathematics, the secondary measure associated with a measure of positive density ho when there is one, is a measure of positive density mu, turning the secondary polynomials associated with the orthogonal polynomials for ho into an orthogonal… … Wikipedia
