sigma finiteness

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• Radon–Nikodym theorem — In mathematics, the Radon–Nikodym theorem is a result in functional analysis that states that, given a measurable space ( X , Sigma;), if a sigma finite measure nu; on ( X , Sigma;) is absolutely continuous with respect to a sigma finite measure… …   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

• 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

• Nash equilibrium — A solution concept in game theory Relationships Subset of Rationalizability, Epsilon equilibrium, Correlated equilibrium Superset of Evolutionarily stable strategy …   Wikipedia

• Jaynes-Cummings model — The Jaynes Cummings model (JCM) is a theoretical model in quantum optics. It describes the system of a two level atom interacting with a quantized mode of an optical cavity, with or without the presence of light. The JCM is of great interest in… …   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

• Stein's lemma — Stein s lemma, named in honor of Charles Stein, is a theorem of probability theory that is of interest primarily because of its application to statistical inference mdash; in particular, its application to James Stein estimation and empirical… …   Wikipedia

• Algebraic number theory — In mathematics, algebraic number theory is a major branch of number theory which studies the algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number… …   Wikipedia

• Universally measurable set — In mathematics, a subset A of a Polish space X is universally measurable if it is measurable with respect to every complete probability measure on X that measures all Borel subsets of X. In particular, a universally measurable set of reals is… …   Wikipedia

• Nombre abondant — En mathématiques, un nombre abondant est un nombre entier naturel non nul qui est strictement inférieur à la somme de ses diviseurs stricts ; autrement dit, c est un entier n strictement positif tel que (en ajoutant n de part et d autre de l …   Wikipédia en Français

• Coherent states in mathematical physics — Coherent states have been introduced in a physical context, first as quasi classical states in quantum mechanics, then as the backbone of quantum optics and they are described in that spirit in the article Coherent states (see also [1]). However …   Wikipedia