Lebesgue measure

Wiktionary

1. n. analysis (For a given k-dimensional Euclidean space) 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-cell's volume (as defined in Euclidean geometry: i.e., the volume of the k-cell equals the product of the lengths of its sides).