# measure theory

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measure theory
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 measure, Jordan measure, Lebesgue integral, Lebesgue measure, probability measure, Riemann integration

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• measure theory — In mathematics, a generalization of the concepts of length and area (see length, area, and volume) to arbitrary sets of points not composed of line segments or rectangles. A measure is any rule for associating a number with a set. The result must …   Universalium

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• Computable measure theory — In mathematics, computable measure theory is a version of measure theory which deals with computable numbers, as opposed to real numbers which are used in standard measure theory. This mathematical analysis–related article is a stub. You can help …   Wikipedia

• List of integration and measure theory topics — This is a list of integration and measure theory topics, by Wikipedia page.Intuitive foundations*Length *Area *Volume *Probability *Moving averageRiemann integral*Riemann sum *Riemann Stieltjes integral *Bounded variation *Jordan contentImproper… …   Wikipedia

• Equivalence (measure theory) — In mathematics, and specifically in measure theory, equivalence is a notion of two measures being the same . Two measures are equivalent if they have the same null sets.DefinitionLet ( X , Σ) be a measurable space, and let μ , ν : Σ → [0, +∞] be… …   Wikipedia

• Content (measure theory) — In mathematics, a content is a real function μ defined on a field of sets such that A very important type of content is a measure, which is a …   Wikipedia

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