# greatest lower bound

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**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**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**Upper and lower bounds**— In mathematics, especially in order theory, an upper bound of a subset S of some partially ordered set ( P , le;) is an element of P which is greater than or equal to every element of S . The term lower bound is defined dually as an element of P… … Wikipedia**upper bound**— noun (mathematics) a number equal to or greater than any other number in a given set • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑boundary, ↑edge, ↑bound * * * Math. an element … Useful english dictionary**upper bound**— Math. an element greater than or equal to all the elements in a given set: 3 and 4 are upper bounds of the set consisting of 1, 2, and 3. Cf. bound3 (def. 4), greatest lower bound, least upper bound, lower bound. * * * … Universalium**least upper bound**— A number is an upper bound of a set S of numbers if every member of the set is less than or equal to it. A number n is the least upper bound of the set if there is no number less than it that is also an upper bound. It is a non trivial result… … Philosophy dictionary**The Greatest Show Unearthed**— Infobox Album Name = The Greatest Show Unearthed Type = Album Artist = Creature Feature Released = Original: 2006Remastered: October 30, 2007 Recorded = 2006 Genre = Alternative rock, electronic music Length = 37:03 Label = Original:… … Wikipedia**The Lower Elements**— is a fictional underground universe within the Artemis Fowl world. The term refers to all areas underground that the humans (referred to as Mud Men by the fairies) in general do not know about. The Lower Elements are where most, if not all,… … Wikipedia**Supremum**— In mathematics, given a subset S of a partially ordered set T , the supremum (sup) of S , if it exists, is the least element of T that is greater than or equal to each element of S . Consequently, the supremum is also referred to as the least… … Wikipedia