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Lattice Functions And Equations

Author: Sergiu Rudeanu
Publisher: Springer Science & Business Media
ISBN: 144710241X
Size: 26.74 MB
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One of the chief aims of this self-contained monograph is to survey recent developments of Boolean functions and equations, as well as lattice functions and equations in more general classes of lattices. Lattice (Boolean) functions are algebraic functions defined over an arbitrary lattice (Boolean algebra), while lattice (Boolean) equations are equations expressed in terms of lattice (Boolean) functions. Special attention is also paid to consistency conditions and reproductive general solutions. Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, marketing and others. Lattice Functions and Equations updates and extends the author's previous monograph - Boolean Functions and Equations.

Computational Intelligence For Knowledge Based System Design

Author: Eyke Hüllermeier
Publisher: Springer Science & Business Media
ISBN: 3642140483
Size: 12.86 MB
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The book constitutes the refereed proceedings of the 13th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2010, held in Dortmund, Germany from June 28 - July 2, 2010. The 77 revised full papers were carefully reviewed and selected from 320 submissions and reflect the richness of research in the field of Computational Intelligence and represent developments on topics as: machine learning, data mining, pattern recognition, uncertainty handling, aggregation and fusion of information as well as logic and knowledge processing.

Modeling Decisions For Artificial Intelligence

Author: Vicenç Torra
Publisher: Springer Science & Business Media
ISBN: 3642162916
Size: 49.54 MB
Format: PDF, ePub, Docs
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This volume contains papers presented at the 7th International Conference on Modeling Decisions for Arti?cial Intelligence (MDAI 2010), held in Perpignan, France, October 27–29. This conference followed MDAI 2004 (Barcelona, C- alonia, Spain), MDAI 2005 (Tsukuba, Japan), MDAI 2006 (Tarragona, Cata- nia, Spain), MDAI 2007 (Kitakyushu, Japan), MDAI 2008 (Sabadell, Catalonia, Spain), and MDAI 2009 (Awaji Island, Japan) with proceedings also published in the LNAI series (Vols. 3131, 3558, 3885, 4617, 5285, and 5861). The aim of this conference was to provide a forum for researchers to discuss theory and tools for modeling decisions, as well as applications that encompass decision-making processes and information fusion techniques. The organizers received 43 papers from 12 di?erent countries, from Europe, Asia, Australia and Africa, 25 of which are published in this volume. Each s- mission received at least two reviews from the Program Committee and a few externalreviewers.Wewouldliketoexpressourgratitudetothemfortheirwork. The plenary talks presented at the conference are also included in this volume. TheconferencewassupportedbytheCNRS:CentreNationaldelaRecherche Scienti?que,theUniversit´ edePerpignanVia Domitia,theELIAUS:Laboratoire Electronique Informatique Automatique Syst` emes, IMERIR: Ecole d'Ing´ enierie Informatique et Robotique, the UNESCO Chair in Data Privacy, the Japan - cietyforFuzzyTheoryandIntelligentInformatics(SOFT),theCatalanAssoc- tionfor Arti?cialIntelligence(ACIA), the EuropeanSociety for Fuzzy Logicand Technology(EUSFLAT), the Spanish MEC(ARES—CONSOLIDER INGENIO 2010 CSD2007-00004).

Advanced Discrete Mathematics

Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120345894
Size: 21.60 MB
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Written in an accessible style, this text provides a complete coverage of discrete mathematics and its applications at an appropriate level of rigour. The book discusses algebraic structures, mathematical logic, lattices, Boolean algebra, graph theory, automata theory, grammars and recurrence relations. It covers the important topics such as coding theory, Dijkstra’s shortest path algorithm, reverse polish notation, Warshall’s algorithm, Menger’s theorem, Turing machine, and LR(k) parsers, which form a part of the fundamental applications of discrete mathematics in computer science. In addition, Pigeonhole principle, ring homomorphism, field and integral domain, trees, network flows, languages, and recurrence relations. The text is supported with a large number of examples, worked-out problems and diagrams that help students understand the theoretical explanations. The book is intended as a text for postgraduate students of mathematics, computer science, and computer applications. In addition, it will be extremely useful for the undergraduate students of computer science and engineering.

Physics And Theoretical Computer Science

Author: Jean-Pierre Gazeau
Publisher: IOS Press
ISBN: 1586037064
Size: 64.98 MB
Format: PDF, ePub
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"The goal of this publication is to reinforce the interface between physical sciences, theoretical computer science, and discrete mathematics. The intersection of combinatorics and statistical physics has been an area of great activity over the past few years, fertilized by an exchange not only of techniques but of objectives. Some of the topics of particular interest are: percolation, random coloring, mixing, homomorphisms from and to fixed graph, phase transitions, threshold phenomena. This book is aimed to assemble theoretical physicists and specialists of theoretical informatics and discrete mathematics in order to learn more about recent developments in cryptography, algorithmics, symbolic calculus, non-standard numeration systems, algebraic combinatorics, automata etc., which could reveal themselves to be of crucial interest in natural sciences. This volume is organized along the following rough thematic division: Physics; Chaos and Fractals; Quasi-Crystals and Tilings; Numeration, Automata, and Languages; Algebraic Combinatorics; and Graphs and Networks."

Discrete Methods In Epidemiology

Author: James Abello
Publisher: American Mathematical Soc.
ISBN: 9780821843796
Size: 47.58 MB
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Studies of the spread and containment of disease rely at heart on a variety of mathematical and computational techniques. This collection aims to introduce the fundamentals of epidemiology and to showcase contemporary work using discrete mathematical techniques. Introductory chapters explain the fundamental concepts of epidemiology, the basic tools provided by mathematics and computer science, and some of the outstanding open problems in the area. Contributed articles then highlight particular problems in monitoring disease outbreaks, vaccination strategies, and modelling disease survival factors, and successfully apply techniques such as formal concept analysis, support vector machines, random graph models, and systems of differential equations. Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1-7 were co-published with the Association for Computer Machinery (ACM). Table of Contents: J. Abello, G. Cormode, D. Fradkin, D. Madigan, O. Melnik, and I. Muchnik -- Selected data mining concepts; D. Schneider -- Descriptive epidemiology: A brief introduction; W. D. Shannon -- Biostatistical challenges in molecular data analysis; L. Hirschman and L. E. Damianos -- Mining online media for global disease outbreak monitoring; D. Ozonoff, A. Pogel, and T. Hannan -- Generalized contingency tables and concept lattices; J. Abello and A. Pogel -- Graph partitions and concept lattices; K. Desai, M.-C. Boily, B. Masse, and R. M. Anderson -- Using transmission dynamics models to validate vaccine efficacy measures prior to conducting HIV vaccine efficacy trials; A. Vazquez -- Causal tree of disease transmission and the spreading of infectious diseases; S. Eubank, V. S. Anil Kumar, M. V. Marathe, A. Srinivasan, and N. Wang -- Structure of social contact networks and their impact on epidemics; J. Abello and M. Capalbo -- Random graphs (and the spread of infections in a social network); S. G. Hartke -- Attempting to narrow the integrality gap for the firefighter problem on trees; J. Li, I. Muchnik, and D. Schneider -- Influences on breast cancer survival via SVM classification in the SEER database; D. Fradkin, I. Muchnik, P. Hermans, and K. Morgan -- Validation of epidemiological models: Chicken epidemiology in the UK; Index. This is a reprint of the 2006 original. (DIMACS/70.S)

African Americans In Mathematics

Author: Nathaniel Dean
Publisher: American Mathematical Soc.
ISBN: 9780821870792
Size: 59.40 MB
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This volume contains contains research and expository papers by African-American mathematicians on issues related to their involvement in the mathematical sciences. Little is known, taught, or written about African-American mathematicians. Information is lacking on their past and present contributions and on the qualitive nature of their existence in and distribution throughout mathematics. This lack of information leads to a number of questions that have to date remainedunanswered. This volume provides details and pointers to help answer some of these questions.

Discrete Mathematics

Author: N. Chandrasekaren
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120350979
Size: 30.88 MB
Format: PDF, Mobi
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Written with a strong pedagogical focus, this second edition of the book continues to provide an exhaustive presentation of the fundamental concepts of discrete mathematical structures and their applications in computer science and mathematics. It aims to develop the ability of the students to apply mathematical thought in order to solve computation-related problems. The book is intended not only for the undergraduate and postgraduate students of mathematics but also, most importantly, for the students of Computer Science & Engineering and Computer Applications. The introductory chapter presents an overview of the foundations of the subject, consisting of topics such as logic, set theory, relations, functions, algebraic structures, and graphs. The subsequent chapters provide detailed coverage of each of these topics as well as major areas of discrete mathematics such as combinatorics, lattices and Boolean algebras. Major applications such as computer models and computation, coding theory, cryptography and databases are dealt with in the final chapters of the book. In addition to this, a new chapter on matrices is included in this edition of the book, which forms a part of MCA course curriculum. The book is replete with features which enable the building of a firm foundation of the underlying principles of the subject and also provide adequate scope for testing the comprehension acquired by the students. Each chapter contains numerous worked-out examples within the main discussion as well as several chapter-end Supplementary Examples for revision. The Self-Test and Exercises at the end of each chapter provide large numbers of objective type questions and problems respectively. Answers to objective type questions and hints to exercises are also provided. All these pedagogic features, together with thorough coverage of the subject matter, make this book a readable text for beginners as well as advanced learners of the subject.