Measurable
51Lebesgue measurable — adjective That it is an element of the domain of the Lebesgue measure of the ambient Euclidean space …
52Borel measurable — adjective Said of a function: that the inverse image of any open set in its codomain is a Borel set of its domain. See Also: Borel function …
53Measurableness — Measurable Meas ur*a*ble, a. [F. mesurable, L. mensurabilis. See {Measure}, and cf. {Mensurable}.] [1913 Webster] 1. Capable of being measured; susceptible of mensuration or computation. [1913 Webster] 2. Moderate; temperate; not excessive. [1913 …
54Measurably — Measurable Meas ur*a*ble, a. [F. mesurable, L. mensurabilis. See {Measure}, and cf. {Mensurable}.] [1913 Webster] 1. Capable of being measured; susceptible of mensuration or computation. [1913 Webster] 2. Moderate; temperate; not excessive. [1913 …
55MURC — measurable undesirable respiratory contaminants …
56MURC — • measurable undesirable respiratory contaminants …
57Lebesgue 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… …
58Standard 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… …
59Measure (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 …
60Direct integral — In mathematics and functional analysis a direct integral is a generalization of the concept of direct sum. The theory is most developed for direct integrals of Hilbert spaces and direct integrals of von Neumann algebras. The concept was… …
