Bounded - Dictionary Definition and Overview

Bounded :  adj : having the limits or boundaries established; "a delimited frontier through the disputed region" [syn: delimited]

Based on WordNet 2.0

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

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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