# bounded

[ boun-did ]SHOW IPA

/ ˈbaʊn dɪd /PHONETIC RESPELLING

### adjective

having bounds or limits.

Mathematics.

- (of a function) having a range with an upper bound and a lower bound.
- (of a sequence) having the absolute value of each term less than or equal to some specified positive number.
- (of the variation of a function) having the variation less than a positive number.

## Nearby words

Related formsbound·ed·ly, adverbbound·ed·ness, noun

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

## British Dictionary definitions for boundedness

## bounded

/ (ˈbaʊndɪd) /

### adjective maths

(of a set) having a bound, esp where a measure is defined in terms of which all the elements of the set, or the differences between all pairs of members, are less than some value, or else all its members lie within some other well-defined set

(of an operator, function, etc) having a bounded set of values

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