Lebesgue measure

English

Etymology

Named after French mathematician Henri Lebesgue.

Pronunciation

• (US) IPA^(key): /ləˈbɛːɡ ˈmɛ.ʒɚ/

Noun

Lebesgue measure (plural Lebesgue measures)

1. (mathematical analysis) A unique complete translation-invariant measure for the σ-algebra which contains all k-cells in a given Euclidean space, 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).

Hypernyms

• Lebesgue–Stieltjes measure < complete measure < positive measure < measure

Translations

Translations

• German: Lebesgue-Maß n