ObjectMath is a high-level programming environment and modeling language for scientific computing which supports variants and graphical browsing in the environment and integrates o...
Let L be an algebraic function field in k ≥ 0 parameters t1, . . . , tk. Let f1, f2 be non-zero polynomials in L[x]. We give two algorithms for computing their gcd. The first,...
Communities are the latest phenomena on the Internet. At the heart of each community lies a social network. In this paper, we show a generalized framework to understand and reason...
Abstract. We introduce algebraic geometric techniques in secret sharing and in secure multi-party computation (MPC) in particular. The main result is a linear secret sharing scheme...
In this paper we demonstrate the use of formal methods tools to provide a semantics for the type hierarchy of the AXIOM computer algebra system, and a methodology for Aldor progra...
Martin Dunstan, Tom Kelsey, Steve Linton, Ursula M...