σ-finite measure
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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
Locally finite measure — In mathematics, a locally finite measure is a measure for which every point of the measure space has a neighbourhood of finite measure.DefinitionLet ( X , T ) be a Hausdorff topological space and let Sigma; be a sigma; algebra on X that contains… … 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
Finite-dimensional distribution — In mathematics, finite dimensional distributions are a tool in the study of measures and stochastic processes. A lot of information can be gained by studying the projection of a measure (or process) onto a finite dimensional vector space (or… … Wikipedia
Finite strain theory — Continuum mechanics … Wikipedia
measure — measurer, n. /mezh euhr/, n., v., measured, measuring. n. 1. a unit or standard of measurement: weights and measures. 2. a system of measurement: liquid measure. 3. an instrument, as a graduated rod or a container of standard capacity, for… … Universalium
Measure-preserving dynamical system — In mathematics, a measure preserving dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular. Contents 1 Definition 2 Examples 3 Homomorphisms 4 … Wikipedia
Measure word — This article is about measure words in general. For measure words in Chinese, see Chinese classifier. In linguistics, measure words are words (or morphemes) that are used in combination with a numeral to indicate an amount of some noun. They… … Wikipedia
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
There is no infinite-dimensional Lebesgue measure — In mathematics, it is a theorem that there is no analogue of Lebesgue measure on an infinite dimensional space. This fact forces mathematicians studying measure theory on infinite dimensional spaces to use other kinds of measures: often, the… … Wikipedia
