| Pronunciation: | 'bawndid | ||
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| Matching Terms: | bounded interval, boundedly complete, boundedness, bounden, bounder, bounderish | ||
| Definition: | [adj] having the limits or boundaries established; "a delimited frontier through the disputed region" | ||
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| Synonyms: | delimited, finite | ||
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| Definition: | 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. | ||
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| See Also: | theory | ||
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