Last Updated
:2025/11/26
Archimedean property
Noun
Japanese Meaning
実数集合において、任意の実数に対して、それより大きな自然数が必ず存在するという性質。または、どんな大きな実数も自然数で超えられるという性質。
( plural )
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(mathematical analysis) A property of the set of real numbers, that for any real number there is always a natural number greater than that real number.
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Archimedean property
The Archimedean property guarantees that for every real number x there exists a natural number n greater than x, a fact that underpins many proofs in real analysis.
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The Archimedean property guarantees that for every real number x there exists a natural number n greater than x, a fact that underpins many proofs in real analysis.
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