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absolutely continuous measure

   Also found in: Wikipedia 0.03 sec.
absolutely continuous measure [ab·sə¦lüt·lē kən‚tin·yə·wəs ′mezh·ər]
(mathematics)
A sigma finite measuremon a sigma algebra is absolutely continuous with respect to another sigma finite measurenon the same sigma algebra if every element of the sigma algebra whose measurenis zero also has measuremequal to zero.


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