最終更新日：2025/12/01

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(mathematics) A theorem stating that, given n measurable objects in n-dimensional Euclidean space, it is possible to divide all of them in half (with respect to their measure, i.e. volume) with a single (n−1)-dimensional hyperplane.

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ham sandwich theorem

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元となった辞書の項目

ham sandwich theorem

固有名詞

(mathematics) A theorem stating that, given n measurable "objects" in n-dimensional Euclidean space, it is possible to divide all of them in half (with respect to their measure, i.e. volume) with a single (n−1)-dimensional hyperplane.

日本語の意味

ハムサンドイッチ定理は、n次元ユークリッド空間内のn個の測度可能な対象に対して、各対象の測度（例えば体積など）をそれぞれ半分に分割できるような、1つの(n−1)次元の超平面が存在することを示す数学の定理です。