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series of vectors

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  • Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   Wikipedia

  • Discrete series representation — In mathematics, a discrete series representation is an irreducible unitary representation of a locally compact topological group G that is a subrepresentation of the left regular representation of G on L²(G). In the Plancherel measure, such… …   Wikipedia

  • Covariance and contravariance of vectors — For other uses of covariant or contravariant , see covariance and contravariance. In multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain geometric or physical entities… …   Wikipedia

  • Power series — In mathematics, a power series (in one variable) is an infinite series of the form:f(x) = sum {n=0}^infty a n left( x c ight)^n = a 0 + a 1 (x c)^1 + a 2 (x c)^2 + a 3 (x c)^3 + cdotswhere an represents the coefficient of the n th term, c is a… …   Wikipedia

  • Eisenstein series — This article describes holomorphic Eisenstein series; for the non holomorphic case see real analytic Eisenstein series In mathematics, Eisenstein series, named after German mathematician Gotthold Eisenstein, are particular modular forms with… …   Wikipedia

  • Hilbert–Poincaré series — In mathematics, and in particular in the field of algebra, a Hilbert–Poincaré series, named after David Hilbert and Henri Poincaré, is an adaptation of the notion of dimension to the context of graded algebraic structures (where the dimension of… …   Wikipedia

  • Molien series — In mathematics, a Molien series is a generating function attached to a linear representation ρ of a group G on a finite dimensional vector space V. It counts the homogeneous polynomials of a given total degree d that are invariants for G. It is… …   Wikipedia

  • Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   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

  • Magic (Runelords) — The Runelords is a fantasy novel series written by David Farland. The series is characterized by magic systems integral to the whole structure of human society. These two systems are the magic of the elements and of endowments. Contents 1 Runes 2 …   Wikipedia

  • Lanczos algorithm — The Lanczos algorithm is an iterative algorithm invented by Cornelius Lanczos that is an adaptation of power methods to find eigenvalues and eigenvectors of a square matrix or the singular value decomposition of a rectangular matrix. It is… …   Wikipedia

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