ARMY CONCEPTS ANALYSIS AGENCY BETHESDA MD
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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.