Titlebook: Computers and Mathematics; Erich Kaltofen,Stephen M. Watt Conference proceedings 1989 Springer-Verlag New York Inc. 1989 Permutation.algeb

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Efficient Reduction of Quadratic Formseful in factorization of large integers. For many applications it is important to be able to recognize when two quadratic forms are equivalent, so it is useful to be able to reduce these quadratic forms to a canonical representation..For applications in factorization, the quadratic forms used have l

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A Story About Computing with Roots of Unityw how we obtained new unexpected results trough computer algebra experiments. This was the direct result of computing in the ring of polynomials modulo the cyclotomic polynomial, instead of computing with roots of unity.

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https://doi.org/10.1007/978-1-4020-6558-3lgebra can be solved. The approach follows Buchberger’s approach for computing a Grobner basis for a polynomial ideal and is based on rewriting concepts. A canonical basis produced by the completion procedure shares many properties of a Gr?bner basis such as reducing an element of a .-subalgebra to

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Health, Disease, and Productivityn is an element of a permutation group . specified by a set of generators. Sims [8] developed an elegant solution to this problem. His method relies on the construction of an alternative generating set for . known as a . which can be easily used to test membership of an arbitrary permutation in .. T

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