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Lattice Functions and Equations

Lattice Functions and Equations Author Sergiu Rudeanu
ISBN-10 9781447102410
Release 2012-12-06
Pages 435
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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

Computational Intelligence for Knowledge Based System Design Author Eyke Hüllermeier
ISBN-10 9783642140488
Release 2010-06-17
Pages 771
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Computational Intelligence for Knowledge Based System Design has been writing in one form or another for most of life. You can find so many inspiration from Computational Intelligence for Knowledge Based System Design also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Computational Intelligence for Knowledge Based System Design book for free.

Modeling Decisions for Artificial Intelligence

Modeling Decisions for Artificial Intelligence Author Vicenç Torra
ISBN-10 9783642162916
Release 2010-10-19
Pages 299
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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).


ISBN-10 9788120345898
Release 2012-05-26
Pages 400
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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.

Mathematical Reviews

Mathematical Reviews Author
ISBN-10 UVA:X006180727
Release 2004
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Mathematical Reviews has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Reviews book for free.


Newsletter Author New Zealand Mathematical Society
ISBN-10 UOM:39015057377932
Release 2000
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Newsletter has been writing in one form or another for most of life. You can find so many inspiration from Newsletter also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Newsletter book for free.

Formal Power Series and Algebraic Combinatorics 1994

Formal Power Series and Algebraic Combinatorics  1994 Author Louis J. Billera
ISBN-10 082187070X
Pages 198
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Because of the inteplay among many fields of mathematics and science, algebraic combinatorics is an area in which a wide variety of ideas and methods come together. The papers in this volume reflect the most interesting aspects of this rich interaction and will be of interest to researchers in discrete mathematics and combinatorial systems.


DISCRETE MATHEMATICS Author N. Chandrasekaren
ISBN-10 9788120350977
Release 2015-04-15
Pages 880
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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.

Physics and Theoretical Computer Science

Physics and Theoretical Computer Science Author Jean-Pierre Gazeau
ISBN-10 9781586037062
Release 2007-01-01
Pages 333
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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 Mathematics

Discrete Mathematics Author N.Ch. S.N. Iyengar, V.M. Chandrasekaran, K.A. Venkalesh & P.S. Arunachalam
ISBN-10 9788125913627
Release 2003-11-01
Pages 390
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Student-friendly and comprehensive, this book covers topics such as Mathematical Logic, Set Theory, Algebraic Systems, Boolean Algebra and Graph Theory that are essential to the study of Computer Science in great detail.

Discrete Methods in Epidemiology

Discrete Methods in Epidemiology Author James Abello
ISBN-10 0821843796
Release 2007-06-07
Pages 260
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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)

Unusual Applications of Number Theory

Unusual Applications of Number Theory Author Melvyn Bernard Nathanson
ISBN-10 0821871064
Pages 264
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This volume contains the proceedings of the workshop held at the DIMACS Center of Rutgers University (Piscataway, NJ) on Unusual Applications of Number Theory. Standard applications of number theory are to computer science and cryptology. In this volume, well-known number theorist, Melvyn B. Nathanson, gathers articles from the workshop on other, less standard applications in number theory, as well as topics in number theory with potential applications in science and engineering. The material is suitable for graduate students and researchers interested in number theory and its applications.

Forthcoming Books

Forthcoming Books Author Rose Arny
ISBN-10 UOM:39015046820406
Release 2001-08
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Forthcoming Books has been writing in one form or another for most of life. You can find so many inspiration from Forthcoming Books also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Forthcoming Books book for free.

An Introduction to Sequential Dynamical Systems

An Introduction to Sequential Dynamical Systems Author Henning Mortveit
ISBN-10 0387498796
Release 2007-11-27
Pages 248
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This introductory text to the class of Sequential Dynamical Systems (SDS) is the first textbook on this timely subject. Driven by numerous examples and thought-provoking problems throughout, the presentation offers good foundational material on finite discrete dynamical systems, which then leads systematically to an introduction of SDS. From a broad range of topics on structure theory - equivalence, fixed points, invertibility and other phase space properties - thereafter SDS relations to graph theory, classical dynamical systems as well as SDS applications in computer science are explored. This is a versatile interdisciplinary textbook.

Discrete and Topological Models in Molecular Biology

Discrete and Topological Models in Molecular Biology Author Nataša Jonoska
ISBN-10 9783642401930
Release 2013-12-23
Pages 524
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Theoretical tools and insights from discrete mathematics, theoretical computer science, and topology now play essential roles in our understanding of vital biomolecular processes. The related methods are now employed in various fields of mathematical biology as instruments to "zoom in" on processes at a molecular level. This book contains expository chapters on how contemporary models from discrete mathematics – in domains such as algebra, combinatorics, and graph and knot theories – can provide perspective on biomolecular problems ranging from data analysis, molecular and gene arrangements and structures, and knotted DNA embeddings via spatial graph models to the dynamics and kinetics of molecular interactions. The contributing authors are among the leading scientists in this field and the book is a reference for researchers in mathematics and theoretical computer science who are engaged with modeling molecular and biological phenomena using discrete methods. It may also serve as a guide and supplement for graduate courses in mathematical biology or bioinformatics, introducing nontraditional aspects of mathematical biology.


ISBN-10 9788120350748
Release 2015-01-02
Pages 360
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This updated text, now in its Third Edition, continues to provide the basic concepts of discrete mathematics and its applications at an appropriate level of rigour. The text teaches mathematical logic, discusses how to work with discrete structures, analyzes combinatorial approach to problem-solving and develops an ability to create and understand mathematical models and algorithms essentials for writing computer programs. Every concept introduced in the text is first explained from the point of view of mathematics, followed by its relation to Computer Science. In addition, it offers excellent coverage of graph theory, mathematical reasoning, foundational material on set theory, relations and their computer representation, supported by a number of worked-out examples and exercises to reinforce the students’ skill. Primarily intended for undergraduate students of Computer Science and Engineering, and Information Technology, this text will also be useful for undergraduate and postgraduate students of Computer Applications. New to this Edition Incorporates many new sections and subsections such as recurrence relations with constant coefficients, linear recurrence relations with and without constant coefficients, rules for counting and shorting, Peano axioms, graph connecting, graph scanning algorithm, lexicographic shorting, chains, antichains and order-isomorphism, complemented lattices, isomorphic order sets, cyclic groups, automorphism groups, Abelian groups, group homomorphism, subgroups, permutation groups, cosets, and quotient subgroups. Includes many new worked-out examples, definitions, theorems, exercises, and GATE level MCQs with answers.

Combinatorics and Theoretical Computer Science

Combinatorics and Theoretical Computer Science Author Rodica Simion
ISBN-10 0444893601
Release 1992
Pages 290
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Important connections between Theoretical Computer Science and Combinatorics have been shown by advances in both fields resulting from cross-boundary collaborations and the awareness of problems and techniques specific to both fields. The publication of this volume - the first in the series Topics in Discrete Mathematics - allows a wide audience to appreciate the wealth of beautiful results, the power of the techniques, the excitement of open problems and prospective developments in several aspects of both fields. Included are surveys written in a style which bears in mind both the interests of the specialist and non-specialist. The list of recommended reading may encourage interested readers to pursue the study of the topics in depth.