# measure zero

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## measure zero

[′mezh·ər ‚zir·ō] (mathematics)

A set has measure zero if it is measurable and the measure of it is zero.

A subset of Euclidean

*n*-dimensional space which has the property that for any positive number ε there is a covering of the set by*n*-dimensional rectangles such that the sum of the volumes of the rectangles is less than ε.Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

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