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boundedness

Noun

Meaning

the quality of being finite

Source: WordNet

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For example, compactness and connectedness are topological properties, whereas boundedness and completeness are not. Source: Internet

However boundedness should not in general be confused with "finite", which refers to the number of elements, not to how far the set extends; finiteness implies boundedness, but not conversely. Source: Internet

Note that this concept of boundedness has nothing to do with finite size, and that a subset S of a bounded poset P with as order the restriction of the order on P is not necessarily a bounded poset. Source: Internet

The boundedness reflects the fact that beyond a certain point money ceases being useful at all, as the size of any economy at any point in time is itself bounded. Source: Internet

The uniform boundedness principle yields a simple non-constructive proof of this fact. Source: Internet

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