positive measure

positive measure
A function whose domain is a σ-algebra, whose codomain is [0,∞], and which is countably additive.

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  • Strictly positive measure — In mathematics, strict positivity is a concept in measure theory. Intuitively, a strictly positive measure one that is nowhere zero , or that it is zero only on points .DefinitionLet ( X , T ) be a Hausdorff topological space and let Sigma; be a… …   Wikipedia

  • Positive and negative sets — In measure theory, given a measurable space ( X , Sigma;) and a signed measure mu; on it, a set A isin; Sigma; is called a positive set for mu; if every Sigma; measurable subset of A has nonnegative measure; that is, for every E sube; A that… …   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

  • Positive-definite function — In mathematics, the term positive definite function may refer to a couple of different concepts. Contents 1 In dynamical systems 2 In analysis 2.1 Bochner s theorem 2.1.1 Applications …   Wikipedia

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  • measure space — noun A measurable space which has a positive measure defined on its σ algebra …   Wiktionary

  • Positive operator valued measure — Positive operator valued (probability) measure, abgekürzt als POVM, ist eine Beschreibung des quantenmechanischen Messprozesses in der Physik. Mathematisch gesehen ist ein POVM eine Art Wahrscheinlichkeitsmaß, dessen Werte positive Operatoren… …   Deutsch Wikipedia

  • Positive operator valued probability measure — Positive operator valued (probability) measure, abgekürzt als POVM, ist eine Beschreibung des quantenmechanischen Messprozesses in der Physik. Mathematisch gesehen ist ein POVM eine Art Wahrscheinlichkeitsmaß, dessen Werte positive Operatoren… …   Deutsch Wikipedia

  • Measure of a Man (Clay Aiken album) — Measure of a Man Studio album by Clay Aiken Released October 14, 2003 …   Wikipedia

  • Positive relative accommodation — (PRA) is a measure of the maximum ability to stimulate accommodation while maintaining clear, single binocular vision [http://www.vision therapy.com/Glossary of Terms.htm] . This measurement is typically obtained by an ophthalmologist or… …   Wikipedia

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