Lebesgue measure love

Lebesgue measure


from Wiktionary, Creative Commons Attribution/Share-Alike License

  • n. (For a given k-dimensional Euclidean space) The unique complete translation-invariant measure for the σ-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).


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