# Definition of Bounded. Meaning of Bounded. Synonyms of Bounded

Here you will find one or more explanations in English for the word Bounded. Also in the bottom left of the page several parts of wikipedia pages related to the word Bounded and, of course, Bounded synonyms and on the right images related to the word Bounded.

## Definition of Bounded

Bounded
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.
Bound
Bound Bound, n. 1. A leap; an elastic spring; a jump. A bound of graceful hardihood. --Wordsworth. 2. Rebound; as, the bound of a ball. --Johnson. 3. (Dancing) Spring from one foot to the other.
Bound
Bound Bound, imp. & p. p. of Bind.
Bound
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.
Bound
Bound Bound, v. i. [F. bondir to leap, OF. bondir, bundir, to leap, resound, fr. L. bombitare to buzz, hum, fr. bombus a humming, buzzing. See Bomb.] 1. To move with a sudden spring or leap, or with a succession of springs or leaps; as the beast bounded from his den; the herd bounded across the plain. Before his lord the ready spaniel bounds. --Pope. And the waves bound beneath me as a steed That knows his rider. --Byron. 2. To rebound, as an elastic ball.
Bound
Bound Bound, v. t. 1. To make to bound or leap; as, to bound a horse. [R.] --Shak. 2. To cause to rebound; to throw so that it will rebound; as, to bound a ball on the floor. [Collog.]
Bound
Bound Bound, a. [Past p. of OE. bounen to prepare, fr. boun ready, prepared, fr. Icel. b[=u]inn, p. p. of b[=u]a to dwell, prepare; akin to E. boor and bower. See Bond, a., and cf. Busk, v.] Ready or intending to go; on the way toward; going; -- with to or for, or with an adverb of motion; as, a ship is bound to Cadiz, or for Cadiz. ``The mariner bound homeward.' --Cowper.

## Meaning of Bounded from wikipedia

- Boundedness or bounded may refer to: Bounded rationality, the idea that human rationality in decision-making is bounded by the available information,...
- (M, d) is a bounded metric space (or d is a bounded metric) if M is bounded as a subset of itself. Total boundedness implies boundedness. For subsets...
- bounded set in Y {\displaystyle Y} . Weaker than boundedness is local boundedness. A family of bounded functions may be uniformly bounded. A bounded operator...
- continuous map is bounded, however the converse fails; a bounded operator need not be continuous. Clearly, this also means that boundedness is no longer equivalent...
- Bound or bounds may refer to: Bound variable Upper and lower bounds, observed limits of mathematical functions Bound Brook (Raritan River), a tributary...
- and the boundedly rational Gibbs equilibrium must be used to predict phenomena outlined in Humanomics. Recent research has shown that bounded rationality...
- analysis, a function of bounded variation, also known as BV function, is a real-valued function whose total variation is bounded (finite): the graph of...
- mathematics, total-boundedness is a generalization of compactness for cir****stances in which a set is not necessarily closed. A totally bounded set can be covered...
- lower) bound is said to be bounded from above or majorized (respectively bounded from below or minorized) by that bound. The terms bounded above (bounded below)...
- In type theory, bounded quantification (also bounded polymorphism or constrained genericity) refers to universal or existential quantifiers which are restricted...