Completeness-axiom Definition

noun

(mathematics) The following axiom (applied to an ordered field): for any subset of the given ordered field, if there is any upper bound for this subset, then there is also a supremum for this subset, and this supremum is an element of the given ordered field (though not necessarily of the subset).

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Other Word Forms of Completeness-axiom

Noun

Singular:
completeness-axiom
Plural:
completeness axioms

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