Accession Number : ADP004956

Title :   Computing Sets,

Corporate Author : ARMY CONCEPTS ANALYSIS AGENCY BETHESDA MD

Personal Author(s) : Leake,C. R.

Report Date : FEB 1985

Pagination or Media Count : 8

Abstract : In large linear programming problems, rounding of type errors can cause problems. These errors stem from the computational set which is used by a computer. This article considers a case where it is shown that this set is commutative, contains additive and multiplicative inverses, is nonassociative, nondistributive with zero divisors. Two other sets which are quadratic extensions of a certain field that are nonassociative algebras with zero divisors are developed with an example of how these can be used to solve a differential equation of a certain form.

Descriptors :   *SET THEORY, *COMPUTATIONS, LINEAR PROGRAMMING, RATIONAL NUMBERS, DIFFERENTIAL EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE