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Caracterisation Polynomiale Des Processus Sequentiels

Caracterisation Polynomiale Des Processus Sequentiels

          
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About the Book

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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Product Details
  • ISBN-13: 9783841781093
  • Publisher: Univ Europeenne
  • Binding: Paperback
  • Language: French
  • Returnable: N
  • Spine Width: 9 mm
  • Width: 152 mm
  • ISBN-10: 3841781098
  • Publisher Date: 28 Feb 2018
  • Height: 229 mm
  • No of Pages: 160
  • Series Title: Omn.Univ.Europ.
  • Weight: 245 gr


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