PARDI! | Zendy

François Boulier | Zendy; François Lemaire | Zendy; Marc Moreno Maza | Zendy

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PARDI!

Author(s) -

François Boulier,

François Lemaire,

Marc Moreno Maza

Publication year - 2001

Publication title -

hal (le centre pour la communication scientifique directe)

Language(s) - English

Resource type - Conference proceedings

DOI - 10.1145/384101.384108

Subject(s) - ranking (information retrieval) , prime (order theory) , ideal (ethics) , computation , set (abstract data type) , differential (mechanical device) , simple (philosophy) , algebra over a field , computer science , mathematics , prime ideal , algebraic number , discrete mathematics , algorithm , pure mathematics , combinatorics , artificial intelligence , engineering , mathematical analysis , philosophy , epistemology , programming language , aerospace engineering

International audienceWe propose a new algorithm for converting a characteristic set of a prime differential ideal from one ranking into another. This differential algebra algorithm computes characteristic sets by change of ranking (ordering) for prime ideals. It identifies the purely algebraic subproblems which arise during differential computations and solves them algebraically. There are two improvements w.r.t. other approaches: formerly unsolved problems could be carried out; it is conceptually simple. Different variants are implemented

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