complex measure

complex measure
A function whose domain is a σ-algebra, whose codomain is the set of complex numbers, and which is countably additive.

Wikipedia foundation.

Игры ⚽ Поможем решить контрольную работу

Look at other dictionaries:

  • Complex measure — In mathematics, specifically measure theory, a complex measure generalizes the concept of measure by letting it have complex values. In other words, one allows for sets whose size (length, area, volume) is a complex number. Contents 1 Definition… …   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

  • measure theory — noun A branch of mathematical analysis, concerned with the theory of integration, that generalizes the intuitive notions of length, area and volume. See Also: Borel measure, complex measure, Haar measur …   Wiktionary

  • Complex regional pain syndrome — Complex regional pain syndrome/Reflex Sympathetic Dystrophy (CRPS/RSD) Classification and external resources ICD 10 M89.0, G56.4 ICD 9 …   Wikipedia

  • Complex unit — Unit U nit, n. [Abbrev. from unity.] 1. A single thing or person. [1913 Webster] 2. (Arith.) The least whole number; one. [1913 Webster] Units are the integral parts of any large number. I. Watts. [1913 Webster] 3. A gold coin of the reign of… …   The Collaborative International Dictionary of English

  • Complex society — In anthropology and archaeology, a complex society is a social formation that is otherwise described as a formative or developed state.[citation needed] The main criteria of complexity are:[citation needed] the extent of a division of labour in… …   Wikipedia

  • Measure for Measure — a comedy (1604) by Shakespeare. * * * ▪ work by Shakespeare  a “dark” comedy in five acts by William Shakespeare (Shakespeare, William), written about 1603–04 and published in the First Folio of 1623 from a transcript of an authorial draft. The… …   Universalium

  • Projection-valued measure — In mathematics, particularly functional analysis a projection valued measure is a function defined on certain subsets of a fixed set and whose values are self adjoint projections on a Hilbert space. Projection valued measures are used to express… …   Wikipedia

  • Support (measure theory) — In mathematics, the support (sometimes topological support or spectrum) of a measure μ on a measurable topological space ( X , Borel( X )) is a precise notion of where in the space X the measure lives . It is defined to be the largest (closed)… …   Wikipedia

  • Pushforward measure — In mathematics, a pushforward measure (also push forward or push forward) is obtained by transferring ( pushing forward ) a measure from one measurable space to another using a measurable function.DefinitionGiven measurable spaces ( X 1, Sigma;1) …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”