convergence in measure

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convergence in measure [kən′vər·jəns in ′mezh·ər]

(mathematics)

A sequence of functions ƒ_n(x) converges in measure to ƒ(x) if given any ε > 0, the measure of the set of points at which |ƒ_n(x) - ƒ(x) | > ε is less than ε, providednis sufficiently large.

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