In mathematics, Lebesgue measure is the standard way of assigning a notion of length to subsets of the real line, area to regions of the Euclidean plane, and volume to subsets of Euclidean space in dimensions three and higher. It is used throughout mathematical analysis, especially in the definition of the Lebesgue integral and in statements that hold "almost everywhere," meaning except on a set whose Lebesgue measure is zero.
In mathematics, Lebesgue measure is the standard way of assigning a notion of length to subsets of the real line, area to regions of the Euclidean plane, and volume to subsets of Euclidean space in dimensions three and higher. It is used throughout mathematical analysis, especially in the definition of the Lebesgue integral and in statements that hold "almost everywhere," meaning except on a set whose Lebesgue measure is zero.
Source: Wikipedia "Lebesgue measure" · CC BY-SA 4.0
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