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Bounded - Dictionary Definition and Overview |
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Bounded : adj : having the limits or boundaries established; "a delimited
frontier through the disputed region" [syn: delimited]
Based on WordNet 2.0
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Bound \Bound\, v. t. [imp. & p. p. Bounded; p. pr. & vb. n.
Bounding.]
1. To limit; to terminate; to fix the furthest point of
extension of; -- said of natural or of moral objects; to
lie along, or form, a boundary of; to inclose; to
circumscribe; to restrain; to confine.
Where full measure only bounds excess. --Milton.
Phlegethon . . . Whose fiery flood the burning
empire bounds. --Dryden.
2. To name the boundaries of; as, to bound France.
Based on Webster's Revised Unabridged Dictionary
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Bounded :
In domain theory, a subset S of a cpo X is
bounded if there exists x in X such that for all s in S, s <=
x. In other words, there is some element above all of S. If
every bounded subset of X has a least upper bound then X is
boundedly complete.
("<=" is written in LaTeX as \subseteq).
(1995-02-03)
Based on Webster's Revised Unabridged Dictionary (1913)
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