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.
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