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syndetic subset

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  • Syndetic set — In mathematics, a syndetic set is a subset of the natural numbers, having the property of bounded gaps : that the sizes of the gaps in the sequence of natural numbers is bounded. DefinitionLet mathcal{P} f(mathbb{N}) denote the set of finite… …   Wikipedia

  • Piecewise syndetic set — In mathematics, piecewise syndeticity is a notion of largeness of subsets of the natural numbers. Let mathcal{P} f(mathbb{N}) denote the set of finite subsets of mathbb{N}. Then a set S sub mathbb{N} is called piecewise syndetic if there exists G …   Wikipedia

  • IP set — In mathematics, an IP set is a set of natural numbers which contains all finite sums of some infinite set.The finite sums of a set D of natural numbers are all those numbers that can be obtained by adding up the elements of some finite nonempty… …   Wikipedia

  • Partition 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… …   Wikipedia

  • List of exceptional set concepts — This is a list of exceptional set concepts. In mathematics, and in particular in mathematical analysis, it is very useful to be able to characterise subsets of a given set X as small , in some definite sense, or large if their complement in X is… …   Wikipedia

  • Thick set — In mathematics, a thick set is a set of integers that contains arbitrarily long intervals. That is, given a thick set T, for every p in mathbb{N}, there is some n in mathbb{N} such that {n, n+1, n+2, ... , n+p } subset T.ee also*Syndetic set… …   Wikipedia

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

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