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。
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任意の実数より大きい自然数が常に存在するというアルキメデス性は、任意の実数xに対してxより大きい自然数nが存在することを保証しており、実解析の多くの証明を支えています。

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.

音声機能が動作しない場合はこちらをご確認ください

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