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- Lebesgue_measure abstract "In measure theory, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of n-dimensional Euclidean space. For n = 1, 2, or 3, it coincides with the standard measure of length, area, or volume. In general, it is also called n-dimensional volume, n-volume, or simply volume. It is used throughout real analysis, in particular to define Lebesgue integration. Sets that can be assigned a Lebesgue measure are called Lebesgue measurable; the measure of the Lebesgue measurable set A is denoted by λ(A).Henri Lebesgue described this measure in the year 1901, followed the next year by his description of the Lebesgue integral. Both were published as part of his dissertation in 1902.The Lebesgue measure is often denoted dx, but this should not be confused with the distinct notion of a volume form.".
- Lebesgue_measure wikiPageID "18198".
- Lebesgue_measure wikiPageRevisionID "588850207".
- Lebesgue_measure hasPhotoCollection Lebesgue_measure.
- Lebesgue_measure subject Category:Measures_(measure_theory).
- Lebesgue_measure comment "In measure theory, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of n-dimensional Euclidean space. For n = 1, 2, or 3, it coincides with the standard measure of length, area, or volume. In general, it is also called n-dimensional volume, n-volume, or simply volume. It is used throughout real analysis, in particular to define Lebesgue integration.".
- Lebesgue_measure label "Lebesgue measure".
- Lebesgue_measure label "Lebesgue-Maß".
- Lebesgue_measure label "Lebesgue-maat".
- Lebesgue_measure label "Medida de Lebesgue".
- Lebesgue_measure label "Medida de Lebesgue".
- Lebesgue_measure label "Mesure de Lebesgue".
- Lebesgue_measure label "Miara Lebesgue’a".
- Lebesgue_measure label "Misura di Lebesgue".
- Lebesgue_measure label "Мера Лебега".
- Lebesgue_measure label "مقياس ليبيج".
- Lebesgue_measure label "ルベーグ測度".
- Lebesgue_measure label "勒贝格测度".
- Lebesgue_measure sameAs Lebesgueova_míra.
- Lebesgue_measure sameAs Lebesgue-Maß.
- Lebesgue_measure sameAs Μέτρο_Λεμπέγκ.
- Lebesgue_measure sameAs Medida_de_Lebesgue.
- Lebesgue_measure sameAs Mesure_de_Lebesgue.
- Lebesgue_measure sameAs Misura_di_Lebesgue.
- Lebesgue_measure sameAs ルベーグ測度.
- Lebesgue_measure sameAs 르베그_측도.
- Lebesgue_measure sameAs Lebesgue-maat.
- Lebesgue_measure sameAs Miara_Lebesgue’a.
- Lebesgue_measure sameAs Medida_de_Lebesgue.
- Lebesgue_measure sameAs m.04mf7.
- Lebesgue_measure sameAs Q827230.
- Lebesgue_measure sameAs Q827230.
- Lebesgue_measure wasDerivedFrom Lebesgue_measure?oldid=588850207.
- Lebesgue_measure isPrimaryTopicOf Lebesgue_measure.