Software Engineering White Papers

Empty Intervals

Overview Any returned interval must be an enclosure of the set of all possible values that the operation or expression can produce. The smallest set of all possible results is termed the containment set of the operation or expression. Enclosing the containment set is the containment constraint of interval arithmetic. Any returned interval must satisfy this containment constraint. Given the containment constraint is satisfied, narrow returned intervals are preferred. To return interval results that are as narrow as possible, the empty interval (which is the empty set) is supported. The empty interval naturally arises from the intersection of two disjoint intervals. This paper justifies for returning the empty interval in this case.

Further White Paper Details
PublisherSun Microsystems File FormatPDF, requires Acrobat Rdr 5
Date PublishedApril 2002
FormatWhite Papers   
Topics
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