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.