Lebesgue measure


Lebesgue measure
noun /ləˈbɛːg ˈmɛ.ʒɚ/
The unique complete translation-invariant measure for the σ-algebra which contains all k-cells in and which assigns a measure to each k-cell which is equal to that k-cells volume (as defined in Euclidean geometry: i.e., the volume of the k-cell equals the product of the lengths of its sides).

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