measurable set

measurable set
A subset of a given measurable space which is a member of the σ-algebra of that space.

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  • measurable — UK US /ˈmeʒərəbl/ adjective ► able to be measured: »It is important to set achievable but measurable goals for employees. measurable in sth »He has a fortune measurable in tens of millions. ► large enough to be noticed: »Tax incentives have had a …   Financial and business terms

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  • Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects …   Wikipedia

  • measurable space — noun A set with a σ algebra defined on it …   Wiktionary

  • 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

  • Vitali set — In mathematics, a Vitali set is an elementary example of a set of real numbers that is not Lebesgue measurable. The Vitali theorem is the existence theorem that there are such sets. It is a non constructive result. The naming is for Giuseppe… …   Wikipedia

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