interior Jordan content

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interior Jordan content [in¦tir·ē·ər ′jȯrd·ən ¦kän‚tent]

(mathematics)

Also known as interior content.

For a set a points on a line, the smallest numberCsuch that the sum of the lengths of a finite number of open, nonoverlapping intervals that are completely contained in the set is always equal to or less thanC.

The interior Jordan content of a set of points,X, inn-dimensional Euclidean space (wherenis a positive integer) is the least upper bound on the hypervolume of the union of a finite set of hypercubes that is contained inX.

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