regular subset

  • 1Regular language — In theoretical computer science, a regular language is a formal language (i.e., a possibly infinite set of finite sequences of symbols from a finite alphabet) that satisfies the following equivalent properties: * it can be accepted by a… …

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  • 2Regular expression — In computing, a regular expression provides a concise and flexible means for matching (specifying and recognizing) strings of text, such as particular characters, words, or patterns of characters. Abbreviations for regular expression include… …

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  • 3Regular space — In topology and related fields of mathematics, regular spaces and T3 spaces are particularly convenient kinds of topological spaces.Both conditions are examples of separation axioms. Definitions Suppose that X is a topological space. X is a… …

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  • 4Regular measure — In mathematics, a regular measure on a topological space is a measure for which every measurable set is approximately open and approximately closed .DefinitionLet ( X , T ) be a topological space and let Σ be a sigma; algebra on X that contains… …

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  • 5Regulär (Maßtheorie) — Der Begriff der Regularität von Maßen dient der Charakterisierung von Borel Maßen auf topologischen Räumen. Definition: Sei eine σ Algebra, die die Borelsche σ Algebra enthält und ein Maß. μ heißt von innen regulär, falls für jedes gilt …

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  • 6Regular semigroup — A regular semigroup is a semigroup S in which every element is regular, i.e., for each element a , there exists an element x such that axa = a . [Howie 1995 : 54.] Regular semigroups are one of the most studied classes of semigroups, and their… …

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  • 7Regular chain — In computer algebra, a regular chain is a particular kind of triangular set in a multivariate polynomial ring over a field. It enhances the notion of characteristic set. Introduction Given a linear system, one can convert it to a triangular… …

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  • 8Partition regular — In mathematics, the notion of partition regularity in combinatorics is one approach to explaining when a set system is quite large.Given a set X, a collection of subsets mathbb{S} subset mathcal{P}(X) is called partition regular if for any A in… …

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  • 9Locally regular space — In mathematics, particularly topology, a topological space X is locally regular if intuitively it looks locally like a regular space. More precisely, a locally regular space satisfies the property that each point of the space belongs to a subset… …

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  • 10Perl Compatible Regular Expressions — Original author(s) Philip Hazel Stable release 8.20 / 2011 10 21; 25 days ago (2011 10 21) Written in C …

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