411 REFERENCE · Wiktionary
Lebesgue measure
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English
Etymology
Named after Q206005.
Noun
en 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).
en Lebesgue–Stieltjes measure < complete measure < positive measure < measure
Related terms
en Lebesgue measurable
Translations
Bulgarian: bg Лебегова мярка f
German: de Lebesgue-Maß n
Polish: pl miara Lebesgue'a f
en eponyms
en Measure theory