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Caracterisation Polynomiale Des Processus Sequentiels by Guegnard-F

Caracterisation Polynomiale Des Processus Sequentiels

by Guegnard-F
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Book cover type: Paperback
  • ISBN13: 9783841781093
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Omniscriptum
  • Publisher Imprint: Omniscriptum
  • Publication Date:
  • Pages: 160
  • Original Price: GBP 39.0
  • Language: French
  • Edition: N/A
  • Item Weight: 245 grams
  • BISAC Subject(s): General

La modélisation de processus séquentiels intervient dans de nombreux domaines comme la recherche opérationnelle, l'ingénierie industrielle ou l'informatique. Cette thèse propose une nouvelle modélisation des processus séquentiels: à toute séquence complexe ou non, on associe un polynôme à une ou plusieurs variables à coefficients et à valeurs dans un corps fini. Ce modèle mathématique se situe dans le cadre du problème d'interpolation polynomiale seulement dans le cas particulier de l'ensemble Z/pZ. La conséquence de cette démarche est la possibilité d'utiliser à la fois les propriétés de l'ensemble Z/pZ et les propriétés de calculs sur les polynômes. On redéfinit toutes les procédures permettant d'effectuer des opérations sur ces polynômes dans cet ensemble: addition, multiplication, division euclidienne, composition et surtout l'évaluation. Dans le cas de processus séquentiels simples, nous avons explicité les propriétés de notre modèle avant de définir une base de polynômes qui nous permet de construire dynamiquement le polynôme. Nous détenons maintenant les mèmes outils que pour une structure de données classique.

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