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orthonormal sequence

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  • orthonormal sequence — ortonormuotoji seka statusas T sritis fizika atitikmenys: angl. orthonormal sequence vok. orthonormierte Reihe, f rus. ортонормальная последовательность, f pranc. suite orthonormale, f …   Fizikos terminų žodynas

  • Riesz sequence — In mathematics, a sequence of vectors ( x n ) in a Hilbert space ( H , lang; , rang;) is called a Riesz sequence if there exist constants 0 …   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

  • Compact operator on Hilbert space — In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite rank operators in the uniform operator topology. As such, results from matrix theory… …   Wikipedia

  • Inner product space — In mathematics, an inner product space is a vector space with the additional structure of inner product. This additional structure associates each pair of vectors in the space with a scalar quantity known as the inner product of the vectors.… …   Wikipedia

  • Bessel's inequality — In mathematics, especially functional analysis, Bessel s inequality is a statement about the coefficients of an element x in a Hilbert space with respect to an orthonormal sequence.Let H be a Hilbert space, and suppose that e 1, e 2, ... is an… …   Wikipedia

  • Orthogonality — The line segments AB and CD are orthogonal to each other. Orthogonality occurs when two things can vary independently, they are uncorrelated, or they are perpendicular. Contents 1 Mathematics …   Wikipedia

  • Gram–Schmidt process — In mathematics, particularly linear algebra and numerical analysis, the Gram–Schmidt process is a method for orthogonalizing a set of vectors in an inner product space, most commonly the Euclidean space R n . The Gram–Schmidt process takes a… …   Wikipedia

  • Essential spectrum — In mathematics, the essential spectrum of a bounded operator is a certain subset of its spectrum, defined by a condition of the type that says, roughly speaking, fails badly to be invertible .The essential spectrum of self adjoint operatorsIn… …   Wikipedia

  • Reproducing kernel Hilbert space — In functional analysis (a branch of mathematics), a reproducing kernel Hilbert space is a Hilbert space of functions in which pointwise evaluation is a continuous linear functional. Equivalently, they are spaces that can be defined by reproducing …   Wikipedia

  • Heat equation — The heat equation is an important partial differential equation which describes the distribution of heat (or variation in temperature) in a given region over time. For a function of three spatial variables ( x , y , z ) and one time variable t ,… …   Wikipedia

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