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Lebesgue-measurable function

In mathematics, a Lebesgue-measurable function is a real function f : R → R such that for every real number a, the set

\{x \in \R : f(x)>a \}

is a Lebesgue-measurable set. See Lebesgue measure.

Last updated: 01-04-2007 01:18:57
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