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There is a page named "Measure algebra" on Wikipedia
- The main use of σ-algebras is in the definition of measures; specifically, the collection of those subsets for which a given measure is defined is necessarily...30 KB (5,339 words) - 13:11, 26 March 2024
- a measure algebra is a Boolean algebra with a countably additive positive measure. A probability measure on a measure space gives a measure algebra on...1 KB (131 words) - 11:48, 24 January 2017
- are feasible for measuring (the σ-algebra) and the method that is used for measuring (the measure). One important example of a measure space is a probability...4 KB (475 words) - 09:29, 10 November 2023
- countable set of real numbers has Lebesgue measure 0. In particular, the Lebesgue measure of the set of algebraic numbers is 0, even though the set is dense...18 KB (2,641 words) - 20:13, 3 May 2024
{\displaystyle S.} The Lebesgue measure on R {\displaystyle \mathbb {R} } is a complete translation-invariant measure on a σ-algebra containing the intervals...35 KB (5,495 words) - 15:43, 13 July 2024- In mathematics, a von Neumann algebra or W*-algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology...42 KB (5,905 words) - 00:34, 7 May 2024
- Borel set (redirect from Borel sigma algebra)distribution is by definition also a measure on the Borel algebra. The Borel algebra on the reals is the smallest σ-algebra on R that contains all the intervals...13 KB (1,793 words) - 02:48, 4 June 2024
mathematics, a probability measure is a real-valued function defined on a set of events in a σ-algebra that satisfies measure properties such as countable...7 KB (970 words) - 22:35, 31 March 2024- smallest σ-algebra that contains the open sets of X {\displaystyle X} ; this is known as the σ-algebra of Borel sets. A Borel measure is any measure μ {\displaystyle...10 KB (1,239 words) - 17:28, 29 January 2024
- *-subalgebra of the algebra of bounded operators on some Hilbert space. Measure algebra: A Banach algebra consisting of all Radon measures on some locally...17 KB (2,602 words) - 13:01, 17 July 2024
in physics and other technical fields. A Dirac measure is a measure δx on a set X (with any σ-algebra of subsets of X) defined for a given x ∈ X and any...6 KB (640 words) - 04:31, 19 December 2022- The smallest such extension (i.e. the smallest σ-algebra Σ0) is called the completion of the measure space. The completion can be constructed as follows:...6 KB (826 words) - 17:41, 19 March 2024
- mathematics (specifically in measure theory), a Radon measure, named after Johann Radon, is a measure on the σ-algebra of Borel sets of a Hausdorff topological...19 KB (2,697 words) - 10:22, 11 May 2024
- — specifically, in measure theory and functional analysis — the cylindrical σ-algebra or product σ-algebra is a type of σ-algebra which is often used...2 KB (244 words) - 18:18, 25 May 2024
- the group algebra is any of various constructions to assign to a locally compact group an operator algebra (or more generally a Banach algebra), such that...9 KB (1,319 words) - 06:11, 29 December 2023
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations...32 KB (4,185 words) - 14:05, 4 June 2024- \mu } is a Borel measure on X {\displaystyle X} , the measure algebra of ( X , μ ) {\displaystyle (X,\mu )} is the Boolean algebra of all Borel sets...14 KB (2,071 words) - 12:06, 2 March 2024
- example of an abelian von Neumann algebra is the algebra L∞(X, μ) for μ a σ-finite measure on X realized as an algebra of operators on the Hilbert space...10 KB (1,547 words) - 15:36, 16 February 2024
- apart from the elementary symbolic algebra: Expectation algebra, Variance algebra, Covariance algebra, Moment algebra, etc. Considering two random variables...17 KB (3,623 words) - 07:00, 10 July 2024
- infinite. The counting measure can be defined on any measurable space (that is, any set X {\displaystyle X} along with a sigma-algebra) but is mostly used...4 KB (761 words) - 07:37, 7 May 2024
- Volume 1 Algebra by William Fleetwood Sheppard, and George Ballard Mathews, and Charles Everitt 12375391911 Encyclopædia Britannica, Volume 1 — AlgebraWilliam
- History of algebra is the history of the study of mathematical symbols and the rules for manipulating these symbols, a unifying thread for almost all
- Linear Algebra An Introduction to Mathematical Discourse This book discusses proof-based linear algebra. The book was designed specifically for students