Last Updated:2025/11/26

In Euclidean space, the Lebesgue measure is the unique complete translation-invariant measure on the σ-algebra containing all k-cells that assigns to each k-cell its Euclidean volume.

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In Euclidean space, the Lebesgue measure is the unique complete translation-invariant measure on the σ-algebra containing all k-cells that assigns to each k-cell its Euclidean volume.

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ユークリッド空間では、すべてのk-セルを含むσ-代数上の一意的で完全かつ平行移動不変な測度で、各k-セルにそのユークリッド体積を割り当てるのがルベーグ測度です。

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