additivity theorem

теорема аддитивности

English-Russian dictionary of technical terms. 2014.

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  • Hahn–Kolmogorov theorem — In mathematics, the Hahn–Kolmogorov theorem characterizes when a finitely additive function with non negative (possibly infinite) values can be extended to a bona fide measure. It is named after the Austrian mathematician Hans Hahn and the… …   Wikipedia

  • Cox's theorem — Cox s theorem, named after the physicist Richard Threlkeld Cox, is a derivation of the laws of probability theory from a certain set of postulates. This derivation justifies the so called logical interpretation of probability. As the laws of… …   Wikipedia

  • Hahn decomposition theorem — In mathematics, the Hahn decomposition theorem, named after the Austrian mathematician Hans Hahn, states that given a measurable space ( X , Sigma;) and a signed measure mu; defined on the sigma; algebra Sigma;, there exist two sets P and N in… …   Wikipedia

  • Sigma additivity — In mathematics, additivity and sigma additivity of a function defined on subsets of a given set are abstractions of the intuitive properties of size (length, area, volume) of a set. Contents 1 Additive (or finitely additive) set functions 2 σ… …   Wikipedia

  • Egorov's theorem — In measure theory, an area of mathematics, Egorov s theorem establishes a condition for the uniform convergence of a pointwise convergent sequence of measurable functions. The theorem is named after Dmitri Egorov, a Russian physicist and geometer …   Wikipedia

  • Carathéodory's extension theorem — See also Carathéodory s theorem for other meanings. In measure theory, Carathéodory s extension theorem proves that for a given set Ω, you can always extend a sigma; finite measure defined on R to the sigma; algebra generated by R , where R is a… …   Wikipedia

  • Hadwiger's theorem — In integral geometry (otherwise called geometric probability theory), Hadwiger s theorem states that the space of measures (see below) defined on finite unions of compact convex sets in R n consists of one measure that is homogeneous of degree k… …   Wikipedia

  • probability theory — Math., Statistics. the theory of analyzing and making statements concerning the probability of the occurrence of uncertain events. Cf. probability (def. 4). [1830 40] * * * Branch of mathematics that deals with analysis of random events.… …   Universalium

  • Analysis of variance — In statistics, analysis of variance (ANOVA) is a collection of statistical models, and their associated procedures, in which the observed variance in a particular variable is partitioned into components attributable to different sources of… …   Wikipedia

  • Non-measurable set — This page gives a general overview of the concept of non measurable sets. For a precise definition of measure, see Measure (mathematics). For various constructions of non measurable sets, see Vitali set, Hausdorff paradox, and Banach–Tarski… …   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


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