English Dictionary

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。

In the graduate seminar, she explained the ham sandwich theorem by demonstrating how a single plane can divide multiple volumes in half.

大学院のゼミで、彼女はハムサンドイッチの定理を、単一の平面が複数の体積を半分に分けることができる様子を示しながら説明した。

意味（1）

(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.