finite measure

  • 1Σ-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… …

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  • 2Locally 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… …

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  • 3σ-finite measure — noun That it is expressible as a countable union of sets of finite measure …

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  • 4Measure (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 …

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  • 5Finite-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… …

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  • 6Finite strain theory — Continuum mechanics …

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  • 7measure — 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… …

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  • 8Measure-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 …

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  • 9Measure 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… …

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  • 10Radon 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 …

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