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Open Accesshttps://doi.org/10.1016/s0304-3975(01)00216-x
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Cite Journal: Theoretical Computer Science |  Publication Date: Dec 6, 2002 |
 License type: publisher-specific-oa |
Affiliation: Université du Québec à Montréal, Laboratoire de Mathématiques
A well-known construction associates to each rational subset of N k a rational function in k commuting variables. We extend this construction to rational subsets of Z k . As a consequence, we derive a multivariate generalization of Popoviciu's theorem and a classical valuation on rational polyhedra.
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