Lebesgue measure

id: lebesgue-measure-207-5312838
title: Lebesgue measure
text: In measure theory, a branch of mathematics, the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of higher dimensional Euclidean n-spaces. For lower dimensions 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, hypervolume, or simply volume. It is used throughout real analysis, in particular to define Lebesgue integration. Sets that
brand slug: wiki
category slug: encyclopedia
description: Concept of area in any dimension
original url: https://en.wikipedia.org/wiki/Lebesgue_measure
date created: 2001-09-30T22:37:35Z
date modified: 2024-09-11T00:30:45Z
main entity: {"identifier":"Q827230","url":"https://www.wikidata.org/entity/Q827230"}
image:
fields total: 13
integrity: 15

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