interior Jordan content

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 number C such 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 than C. The interior Jordan content of a set of points, X, in n-dimensional Euclidean space (where n is a positive integer) is the least upper bound on the hypervolume of the union of a finite set of hypercubes that is contained in X.