- Haar measure
- мера f Хаара
English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
Haar measure
Смотреть что такое "Haar measure" в других словарях:
Haar measure — In mathematical analysis, the Haar measure is a way to assign an invariant volume to subsets of locally compact topological groups and subsequently define an integral for functions on those groups.This measure was introduced by Alfréd Haar, a… … Wikipedia
Haar — There are several meanings of Haar:* Haar (fog), a Scots word for the fog or sea mist * Haar, Bavaria, a municipality near Munich, Germany * Alfred Haar (1885 – 1933), a Hungarian mathematician ** Haar wavelet, the first wavelet ** Haar measure,… … Wikipedia
Measure (mathematics) — Informally, a measure has the property of being monotone in the sense that if A is a subset of B, the measure of A is less than or equal to the measure of B. Furthermore, the measure of the empty set is required to be 0. In mathematical analysis … Wikipedia
measure theory — noun A branch of mathematical analysis, concerned with the theory of integration, that generalizes the intuitive notions of length, area and volume. See Also: Borel measure, complex measure, Haar measur … Wiktionary
Radon measure — In mathematics (specifically, measure theory), a Radon measure, named after Johann Radon, is a measure on the σ algebra of Borel sets of a Hausdorff topological space X that is locally finite and inner regular. Contents 1 Motivation 2 Definitions … Wikipedia
Σ-finite measure — In mathematics, a positive (or signed) measure mu; defined on a sigma; algebra Sigma; of subsets of a set X is called finite, if mu;( X ) is a finite real number (rather than ∞). The measure mu; is called σ finite, if X is the countable union of… … Wikipedia
Lebesgue measure — In mathematics, the Lebesgue measure, named after Henri Lebesgue, is the standard way of assigning a length, area or volume to subsets of Euclidean space. It is used throughout real analysis, in particular to define Lebesgue integration. Sets… … Wikipedia
Pushforward measure — In mathematics, a pushforward measure (also push forward or push forward) is obtained by transferring ( pushing forward ) a measure from one measurable space to another using a measurable function.DefinitionGiven measurable spaces ( X 1, Sigma;1) … Wikipedia
Probability measure — In some cases, statistical physics uses probability measures, but not all measures it uses are probability measures.[1][2] In mathematics, a probability measure is a real valued function defined on a set … Wikipedia
Alfréd Haar — (October 11, 1885 March 16, 1933) was a Hungarian mathematician. The Haar measure, Haar wavelet, and Haar transform are named in his honor. Together with Frigyes Riesz, he made the University of Szeged a centre of mathematics.PublicationHaar A.… … Wikipedia
List of integration and measure theory topics — This is a list of integration and measure theory topics, by Wikipedia page.Intuitive foundations*Length *Area *Volume *Probability *Moving averageRiemann integral*Riemann sum *Riemann Stieltjes integral *Bounded variation *Jordan contentImproper… … Wikipedia
