separating set

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• Separating set — In mathematics a set of functions S from a set D to a set C is called a separating set for D or said to separate the points of D if for any two distinct elements x and y of D , there exists a function f in S so that f ( x ) ≠ f ( y ). Examples *… …   Wikipedia

• Set theory (music) — Example of Z relation on two pitch sets analyzable as or derivable from Z17 (Schuijer 2008, p.99), with intervals between pitch classes labeled for ease of comparison between the two sets and their common interval vector, 212320. Musical set… …   Wikipedia

• set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …   Universalium

• Separating — Separate Sep a*rate, v. t. [imp. & p. p. {Separated}; p. pr. & vb. n. {Separating}.] [L. separatus, p. p. of separare to separate; pfref. se aside + parare to make ready, prepare. See {Parade}, and cf. {Sever}.] 1. To disunite; to divide; to… …   The Collaborative International Dictionary of English

• separating — sep·a·rate || sepÉ™reɪt v. segregate, set apart; split, divide; disconnect, detach; distinguish; partition; be taken apart, be set apart; be divided; withdraw adj. detached, disconnected; distinct, different; set apart, divided, segregated;… …   English contemporary dictionary

• K-set (geometry) — In discrete geometry, a k set of a finite point set S in the Euclidean plane is a subset of k elements of S that can be strictly separated from the remaining points by a line. More generally, in Euclidean space of higher dimensions, a k set of a… …   Wikipedia

• Box set —    The first use of a box set is difficult to pinpoint, but the Mannheim Court Theatre may have employed something like a box set as early as 1804. This practice of enclosing the action of a play in a three walled room (with the invisible fourth… …   The Historical Dictionary of the American Theater

• Glossary of graph theory — Graph theory is a growing area in mathematical research, and has a large specialized vocabulary. Some authors use the same word with different meanings. Some authors use different words to mean the same thing. This page attempts to keep up with… …   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

• Connectivity (graph theory) — In mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) which need to be removed to disconnect the remaining nodes from each other[1]. It is… …   Wikipedia

• Menger's theorem — In the mathematical discipline of graph theory and related areas, Menger s theorem is a basic result about connectivity in finite undirected graphs. It was proved for edge connectivity and vertex connectivity by Karl Menger in 1927. The edge… …   Wikipedia