- measurable subset
- мат.измеримое подмножество
English-Russian scientific dictionary. 2008.
measurable subset
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Measurable cardinal — In mathematics, a measurable cardinal is a certain kind of large cardinal number. Contents 1 Measurable 2 Real valued measurable 3 See also 4 References … Wikipedia
Measurable function — In mathematics, particularly in measure theory, measurable functions are structure preserving functions between measurable spaces; as such, they form a natural context for the theory of integration. Specifically, a function between measurable… … Wikipedia
measurable set — noun A subset of a given measurable space which is a member of the σ algebra of that space … Wiktionary
Schroeder-Bernstein theorem for measurable spaces — The Cantor Bernstein Schroeder theorem of set theory has a counterpart for measurable spaces, sometimes called the Borel Schroeder Bernstein theorem , since measurable spaces are also called Borel spaces. This theorem, whose proof is quite easy,… … 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
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
Weakly measurable function — See also= In mathematics mdash; specifically, in functional analysis mdash; a weakly measurable function taking values in a Banach space is a function whose composition with any element of the dual space is a measurable function in the usual… … Wikipedia
Progressively measurable process — In mathematics, progressive measurability is a property of stochastic processes. A progressively measurable process cannot see into the future , but being progressively measurable is a strictly stronger property than the notion of being an… … 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
Standard probability space — In probability theory, a standard probability space (called also Lebesgue Rokhlin probability space) is a probability space satisfying certain assumptions introduced by Vladimir Rokhlin in 1940 [1] . He showed that the unit interval endowed with… … Wikipedia
Null set — In mathematics, a null set is a set that is negligible in some sense. For different applications, the meaning of negligible varies. In measure theory, any set of measure 0 is called a null set (or simply a measure zero set). More generally,… … Wikipedia
