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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.



Lattice Functions and Equations

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

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 9783642140495
Release 2010-06-30
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).



ADVANCED DISCRETE MATHEMATICS

ADVANCED DISCRETE MATHEMATICS Author UDAY SINGH RAJPUT
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
Pages
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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.



Discrete Computational Structures

Discrete Computational Structures Author Robert R. Korfhage
ISBN-10 9781483264295
Release 2014-05-12
Pages 396
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Discrete Computational Structures describes discrete mathematical concepts that are important to computing, covering necessary mathematical fundamentals, computer representation of sets, graph theory, storage minimization, and bandwidth. The book also explains conceptual framework (Gorn trees, searching, subroutines) and directed graphs (flowcharts, critical paths, information network). The text discusses algebra particularly as it applies to concentrates on semigroups, groups, lattices, propositional calculus, including a new tabular method of Boolean function minimization. The text emphasizes combinatorics and probability. Examples show different techniques of the general process of enumerating objects. Combinatorics cover permutations, enumerators for combinations, Stirling numbers, cycle classes of permutations, partitions, and compositions. The book cites as example the interplay between discrete mathematics and computing using a system of distinct representatives (SDR) problem. The problem, originating from group theory, graph theory, and set theory can be worked out by the student with a network model involving computers to generate and analyze different scenarios. The book is intended for sophomore or junior level, corresponding to the course B3, "Introduction to Discrete Structures," in the ACM Curriculum 68, as well as for mathematicians or professors of computer engineering and advanced mathematics.



Newsletter

Newsletter Author New Zealand Mathematical Society
ISBN-10 UOM:39015057377932
Release 2000
Pages
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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.



Theory of Linear and Integer Programming

Theory of Linear and Integer Programming Author Alexander Schrijver
ISBN-10 0471982326
Release 1998-07-07
Pages 484
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Theory of Linear and Integer Programming Alexander Schrijver Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands This book describes the theory of linear and integer programming and surveys the algorithms for linear and integer programming problems, focusing on complexity analysis. It aims at complementing the more practically oriented books in this field. A special feature is the author's coverage of important recent developments in linear and integer programming. Applications to combinatorial optimization are given, and the author also includes extensive historical surveys and bibliographies. The book is intended for graduate students and researchers in operations research, mathematics and computer science. It will also be of interest to mathematical historians. Contents 1 Introduction and preliminaries; 2 Problems, algorithms, and complexity; 3 Linear algebra and complexity; 4 Theory of lattices and linear diophantine equations; 5 Algorithms for linear diophantine equations; 6 Diophantine approximation and basis reduction; 7 Fundamental concepts and results on polyhedra, linear inequalities, and linear programming; 8 The structure of polyhedra; 9 Polarity, and blocking and anti-blocking polyhedra; 10 Sizes and the theoretical complexity of linear inequalities and linear programming; 11 The simplex method; 12 Primal-dual, elimination, and relaxation methods; 13 Khachiyan's method for linear programming; 14 The ellipsoid method for polyhedra more generally; 15 Further polynomiality results in linear programming; 16 Introduction to integer linear programming; 17 Estimates in integer linear programming; 18 The complexity of integer linear programming; 19 Totally unimodular matrices: fundamental properties and examples; 20 Recognizing total unimodularity; 21 Further theory related to total unimodularity; 22 Integral polyhedra and total dual integrality; 23 Cutting planes; 24 Further methods in integer linear programming; Historical and further notes on integer linear programming; References; Notation index; Author index; Subject index



Applied Algebra and Number Theory

Applied Algebra and Number Theory Author Gerhard Larcher
ISBN-10 9781107074002
Release 2014-12-11
Pages 345
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Survey articles on modern topics related to the work of Harald Niederreiter, written by close colleagues and leading experts.



Logic and Complexity

Logic and Complexity Author Richard Lassaigne
ISBN-10 9780857293923
Release 2012-12-06
Pages 361
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Logic and Complexity looks at basic logic as it is used in Computer Science, and provides students with a logical approach to Complexity theory. With plenty of exercises, this book presents classical notions of mathematical logic, such as decidability, completeness and incompleteness, as well as new ideas brought by complexity theory such as NP-completeness, randomness and approximations, providing a better understanding for efficient algorithmic solutions to problems. Divided into three parts, it covers: - Model Theory and Recursive Functions - introducing the basic model theory of propositional, 1st order, inductive definitions and 2nd order logic. Recursive functions, Turing computability and decidability are also examined. - Descriptive Complexity - looking at the relationship between definitions of problems, queries, properties of programs and their computational complexity. - Approximation - explaining how some optimization problems and counting problems can be approximated according to their logical form. Logic is important in Computer Science, particularly for verification problems and database query languages such as SQL. Students and researchers in this field will find this book of great interest.



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."



Combinatorics Computability and Logic

Combinatorics  Computability and Logic Author C.S. Calude
ISBN-10 9781447107170
Release 2012-12-06
Pages 251
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Combinatorics Computability and Logic has been writing in one form or another for most of life. You can find so many inspiration from Combinatorics Computability and Logic also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Combinatorics Computability and Logic book for free.



Discrete Mathematics and Its Applications

Discrete Mathematics and Its Applications Author Kenneth Rosen
ISBN-10 9780077418939
Release 1995
Pages
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Discrete Mathematics and Its Applications has been writing in one form or another for most of life. You can find so many inspiration from Discrete Mathematics and Its Applications also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Discrete Mathematics and Its Applications book for free.



Logic and Random Structures

Logic and Random Structures Author Ravi Bopu Boppana
ISBN-10 0821870785
Release 1997-01-01
Pages 130
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This volume contains selected papers from the DIMACS Workshop on Logic an Random Structures held in November 1995. The workshop was a major event of the DIMACS Special Year on Logic and Algorithms. The central theme was the relationship between logic and probabilistic techniques in the study of finite structures. In the last several years, this subject has developed into a very active area of mathematical logic with important connections to computer science. The DIMACS workshop was the first of its kind devoted to logic and random structures. Recent work of leaders in the field is contained in the volume, as well as new theoretical developments and applications to computer science.



Unusual Applications of Number Theory

Unusual Applications of Number Theory Author Melvyn Bernard Nathanson
ISBN-10 0821871064
Release
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.



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.