Last Updated：2025/12/03
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To rigorously construct the real numbers, a Dedekind cut partitions the rational numbers so that one side has no greatest element, thereby representing irrational numbers as gaps.
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To rigorously construct the real numbers, a Dedekind cut partitions the rational numbers so that one side has no greatest element, thereby representing irrational numbers as gaps.
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Dedekind cut
Noun
Japanese Meaning
有理数全体を、非空な集合 A と B に分割し、A のすべての要素が B のすべての要素より小さいようにし、かつ A に最大の要素が存在しないという条件を満たす分割。実数を構成するための数学的手法の一つ。
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