An extension of the classical notions of length and Area to more complicated sets. Given an open set
containing Disjoint intervals,

Given a Closed Set ,

A unit Line Segment has Lebesgue measure 1; the Cantor Set has Lebesgue measure 0. The Minkowski Measure of a bounded, Closed Set is the same as its Lebesgue measure (Ko 1995).

**References**

Kestelman, H. ``Lebesgue Measure.'' Ch. 3 in *Modern Theories of Integration, 2nd rev. ed.* New York: Dover, pp. 67-91, 1960.

Ko, K.-I. ``A Polynomial-Time Computable Curve whose Interior has a Nonrecursive Measure.''
*Theoret. Comput. Sci.* **145**, 241-270, 1995.

© 1996-9

1999-05-26