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# lower bound

/loh"euhr/, Math.
an element less than or equal to all the elements in a given set: The numbers 0 and 1 are lower bounds of the set consisting of 1, 2, and 3.

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Universalium. 2010.

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• lower bound — n. Math. a number that is less than or equal to every number in a set …   English World dictionary

• lower bound — noun (mathematics) a number equal to or less than any other number in a given set • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑boundary, ↑edge, ↑bound * * * /loh euhr …   Useful english dictionary

• greatest lower bound — a lower bound that is greater than or equal to all the lower bounds of a given set: 1 is the greatest lower bound of the set consisting of 1, 2, 3. Abbr.: glb Also called infimum. * * * …   Universalium

• greatest lower bound — a lower bound that is greater than or equal to all the lower bounds of a given set: 1 is the greatest lower bound of the set consisting of 1, 2, 3. Abbr.: glb Also called infimum …   Useful english dictionary

• bound´ed|ness — bound|ed «BOWN dihd», adjective. Mathematics. 1. (of a function) having both an upper bound and a lower bound, always less than some fixed number and also greater than some fixed number. 2. contained within some fixed closed curve. –bound´ed|ness …   Useful english dictionary

• bound|ed — «BOWN dihd», adjective. Mathematics. 1. (of a function) having both an upper bound and a lower bound, always less than some fixed number and also greater than some fixed number. 2. contained within some fixed closed curve. –bound´ed|ness, noun …   Useful english dictionary

• Bound graph — In graph theory, a bound graph expresses which pairs of elements of some partially ordered set have an upper bound. Rigorously, any graph G is a bound graph if there exists a partial order ≤ on the vertices of G with the property that for any… …   Wikipedia

• bound — bound1 boundness, n. /bownd/, v. 1. pt. and pp. of bind. adj. 2. tied; in bonds: a bound prisoner. 3. made fast as if by a band or bond: She is bound to her family. 4. secured within a cover, as a book. 5. under a legal or moral obligation: He is …   Universalium

• bound — I [[t]baʊnd[/t]] v. 1) pt. and pp. of bind 2) tied; in bonds: a bound prisoner[/ex] 3) cvb confined to or by something: bound to one s desk[/ex] 4) made fast as if by a band or bond 5) secured within a cover, as a book 6) law under a legal or… …   From formal English to slang

• Lower West Side, Chicago — Lower West Side located on the west side of Chicago, Illinois, is one of 77 well defined Chicago community areas. The area is called Pilsen by Chicago area residents.= Neighborhoods = Heart of Chicago Heart of Chicago is a neighborhood located in …   Wikipedia