Download or read book ETUDE ALGORITHMIQUE DES STRUCTURES ALGEBRIQUES LIBRES OU PARTIELLEMENT COMMUTATIVES ET MESURE PROBABILISTE DU PARALLELISME written by SAAD.. BENACHI and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: LE CADRE GENERAL DU PRESENT TRAVAIL ETANT LES ENSEMBLES CONNUS PAR GENERATEURS ET RELATIONS. DANS LES DEUX PREMIERS CHAPITRES DE CETTE THESE, ON S'EST INTERESSE AUX SOLUTIONS ALGORITHMIQUES DE CERTAINS PROBLEMES DANS LES STRUCTURES ALGEBRIQUES DU TYPE GROUPE OU MONOIDE, LIBRE OU PARTIELLEMENT COMMUTATIF. CETTE ETUDE A ETE COURONNEE PAR LA CONCEPTION DU LOGICIEL DECIDE POSSEDANT LES FONCTIONNALITES SUIVANTES: 1) DANS LES CAS DES GROUPES A GENERATION FINI, IL PERMET DE RESOUDRE LES PROBLEMES DE: APPARTENANCE: UN ELEMENT D'UN GROUPE DONNE EST-IL MEMBRE D'UN SOUS-GROUPE (LE GROUPE ET LE SOUS-GROUPE SONT CONNUS PAR LEURS GENERATEURS); NORMALITE: UN SOUS-GROUPE D'UN GROUPE DONNE POSSEDE-T-IL UNE CERTAINE PROPRIETE QUI PERMET DE LE DISTINGUER DES AUTRES SOUS-GROUPES. 2) IL CONSTRUIT L'AUTOMATE QUI RECONNAIT DES PARTIES DE CERTAINS MONOIDES PARTIELLEMENT COMMUTATIFS LIBRES. POUR LE CAS DES STRUCTURES ALGEBRIQUES PARTIELLEMENT COMMUTATIFS, UNE EXTENSION AU CAS DES GROUPES LIBRES PARTIELLEMENT COMMUTATIFS EST ENVISAGEABLE MOYENNANT LA RESOLUTION DE DEUX PROBLEMES ANNEXES. L'UTILISATION DES TRANSDUCERS FINIS POUR LA RECONNAISSABILITE DANS LES MONOIDES PARTIELLEMENT COMMUTATIFS LIBRES A ETE DEMONTREE POUR UN CAS PARTICULIER. DANS LE CHAPITRE 3 SONT EXPOSES LES DIFFERENTS ALGORITHMES POUR LE CALCUL DES ELEMENTS DE LA CLASSE DE COMMUTATION D'UN MOT ET CEUX DE LA GENERATION UNIFORME DES MOTS DE MOTZKIN. DANS LE CHAPITRE 4, ON S'EST INTERESSE A UNE MESURE PROBABILISTE DU PARALLELISME

Download or read book Etude algorithmique des structures algebriques libres ou partiellement commutatives et mesure probabiliste du parallelisme written by Saad Benachi and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Sampling in Combinatorial and Geometric Set Systems written by Nabil H. Mustafa and published by American Mathematical Society. This book was released on 2022-01-14 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the behavior of basic sampling techniques and intrinsic geometric attributes of data is an invaluable skill that is in high demand for both graduate students and researchers in mathematics, machine learning, and theoretical computer science. The last ten years have seen significant progress in this area, with many open problems having been resolved during this time. These include optimal lower bounds for epsilon-nets for many geometric set systems, the use of shallow-cell complexity to unify proofs, simpler and more efficient algorithms, and the use of epsilon-approximations for construction of coresets, to name a few. This book presents a thorough treatment of these probabilistic, combinatorial, and geometric methods, as well as their combinatorial and algorithmic applications. It also revisits classical results, but with new and more elegant proofs. While mathematical maturity will certainly help in appreciating the ideas presented here, only a basic familiarity with discrete mathematics, probability, and combinatorics is required to understand the material.

Download or read book Random Trees written by Michael Drmota and published by Springer Science & Business Media. This book was released on 2009-04-16 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a thorough introduction to various aspects of trees in random settings and a systematic treatment of the mathematical analysis techniques involved. It should serve as a reference book as well as a basis for future research.

Download or read book Analytic Combinatorics written by Philippe Flajolet and published by Cambridge University Press. This book was released on 2009-01-15 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.