Phrase guide

Lebesgue measure

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

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).

Definition source: English Wiktionary via Wiktextract

Topics: mathematical-analysis, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: Lebesgue–Stieltjes measure, complete measure, positive measure, measure

History

Etymology

Named after French mathematician Henri Lebesgue.

Across languages

Translations

3 source translations are retained for this English entry.

  • Bulgarian: Лебегова мярка (Lebegova mjarka) — Translations
  • German: Lebesgue-Maß — Translations
  • Polish: miara Lebesgue'a — Translations