# Lebesgue measure

Definition from Wiktionary, the free dictionary

## English[edit]

### Pronunciation[edit]

### Noun[edit]

**Lebesgue measure** (*plural* **Lebesgue measures**)

- (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).