# absolutely continuous measure

## absolutely continuous measure

[ab·sə¦lüt·lē kən‚tin·yə·wəs ′mezh·ər] (mathematics)

A sigma finite measure

*m*on a sigma algebra is absolutely continuous with respect to another sigma finite measure*n*on the same sigma algebra if every element of the sigma algebra whose measure*n*is zero also has measure*m*equal to zero.McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

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