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Definition of Lebesgue measure
1. Noun. (analysis) (context: For a given k-dimensional Euclidean space) The unique complete translation-invariant measure for the ''?''-algebra which contains all ''k''-cells in 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). ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Lebesgue Measure
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