# finite set

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## finite set

[¦fī‚nīt ′set]
(mathematics)
A set whose elements can be indexed by integers 1,2,3, …, n inclusive.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
(a) Q is a finite set of states, Q = {[q.sub.1],[q.sub.2], ***, [q.sub.n]},
They address combinatorial, mostly extremal, problems concerning systems of subsets of a given finite set. Among their problems are the Erdos-Ko-Rado theorem via shifting, the Kleitman theorem for no s pairwise disjoint sets, uniform measure versus product measure, F'rude's structure theorem, some algebraic constructions for L systems, and a cross intersection problem with measures.
After that, in 2013, Sommanee and Sanwong  computed the rank of F(X, Y) when X is a finite set. They also obtained the rank and the idempotent rank of its ideals when X is finite.
We now note that each of the sets [A.sub.k] is a subset of the topological space [A.sup.[infinity]] of all sequences {[A.sub.n] [member of] A} with the topology of infinite direct product of the finite set of matrices A.
This finite set of fixed points can be removed because these fixed points lie in some non essential fixed point classes of [[bar.H].sub.4](*, 1) since [h.sub.2][|.sub.X-Int(A)] is fixed point free.
According to Strauss and Howe, a finite set of mythic archetypes characterizes not only individuals but also the generations to which they belong.
The chain market is primed for a shake out, as too many restaurants are chasing a finite set of customers.
In this case, pair-wise Gibbs potentials are selected as a minimum of a finite set of quadratic functions and an efficient optimization procedure is proposed for the Blake and Zisserman function, which is often used in edge-preserving procedures.
In the current stay of affairs, for any sample realization of a probability space and any statistical application, only a finite set of values [X.sub.n]([omega]) are observed, due to our technical limitations (the amount of time required to gather data is finite).
The essential feature of a switched linear system is that it has multiple modes corresponding to the response resulting from switching among a finite set of linear subsystems, which enables simple representation of a wide range of practical systems (see  and the references therein).

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