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Boolean Functions, Crama Yves

Boolean Functions

Автор: Crama Yves
Название:  Boolean Functions
Издательство: Cambridge Academ
Классификация:
Основы математики
Оптимизация
Компьютерная архитектура и логическое проектирование

ISBN: 0521847516
ISBN-13(EAN): 9780521847513
ISBN: 0-521-84751-6
ISBN-13(EAN): 978-0-521-84751-3
Обложка/Формат: Hardcover
Страницы: 142
Вес: 1.12 кг.
Дата издания: 31.07.2011
Язык: ENG
Иллюстрации: 98 b/w illus. 227 exercises
Размер: 234 x 156 x 51
Читательская аудитория: Professional & scholarly
Рейтинг:
Поставляется из: Англии
Описание: Written by prominent experts in the field, this monograph provides the first comprehensive, unified presentation of the structural, algorithmic and applied aspects of the theory of Boolean functions. The book focuses on algebraic representations of Boolean functions, especially disjunctive and conjunctive normal form representations. This framework looks at the fundamental elements of the theory (Boolean equations and satisfiability problems, prime implicants and associated short representations, dualization), an in-depth study of special classes of Boolean functions (quadratic, Horn, shellable, regular, threshold, read-once functions and their characterization by functional equations) and two fruitful generalizations of the concept of Boolean functions (partially defined functions and pseudo-Boolean functions). Several topics are presented here in book form for the first time. Because of the depth and breadth and its emphasis on algorithms and applications, this monograph will have special appeal for researchers and graduate students in discrete mathematics, operations research, computer science, engineering and economics.
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Cryptographic  Boolean  Functions and Applications,

Автор: Thomas W. Cusick
Название: Cryptographic Boolean Functions and Applications,
ISBN: 0123748909 ISBN-13(EAN): 9780123748904
Издательство: Elsevier Science
Цена: 4660 р.
Наличие на складе: Поставка под заказ.
Описание: Boolean functions are the building blocks of symmetric cryptographic systems. Symmetrical cryptographic algorithms are fundamental tools in the design of all types of digital security systems (i.e. communications, financial and e-commerce).<br><br>Cryptographic Boolean Functions and Applications is a concise reference that shows how Boolean functions are used in cryptography. Currently, practitioners who need to apply Boolean functions in the design of cryptographic algorithms and protocols need to patch together needed information from a variety of resources (books, journal articles and other sources). This book compiles the key essential information in one easy to use, step-by-step reference. <br><br>Beginning with the basics of the necessary theory the book goes on to examine more technical topics, some of which are at the frontier of current research. <br><br>-Serves as a complete resource for the successful design or implementation of cryptographic algorithms or protocols using Boolean functions <br>-Provides engineers and scientists with a needed reference for the use of Boolean functions in cryptography <br>-Addresses the issues of cryptographic Boolean functions theory and applications in one concentrated resource. <br>-Organized logically to help the reader easily understand the topic
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THE SATISFIABILITY PROBLEM & BOOLEAN FUNCTIONS   TDM

Автор: FRANCO
Название: THE SATISFIABILITY PROBLEM & BOOLEAN FUNCTIONS TDM
ISBN: 0444504109 ISBN-13(EAN): 9780444504104
Издательство: Elsevier Science
Цена: 20411 р.
Наличие на складе: Поставка под заказ.
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Boolean Functions and Computation Models

Автор: Clote Peter, Kranakis Evangelos
Название: Boolean Functions and Computation Models
ISBN: 3540594361 ISBN-13(EAN): 9783540594369
Издательство: Springer
Цена: 5716 р.
Наличие на складе: Нет в наличии.
Описание: This textbook presents a survey of research on boolean functions, circuits, parallel computation models, function algebras, and proof systems. Its main aim is to elucidate the structure of "fast" parallel computation. The complexity of parallel computation is emphasized through a variety of techniques ranging from finite combinatorics, probability theory and finite group theory to finite model theory and proof theory. Nonuniform computation models are studied in the form of boolean circuits; uniform ones in a variety of forms. Steps in the investigation of non-deterministic polynomial time are surveyed as is the complexity of various proof systems. The book will benefit advanced undergraduates and graduate students as well as researchers in the field of complexity theory.
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Logic Functions and Equations

Автор: Bernd Steinbach; Christian Posthoff
Название: Logic Functions and Equations
ISBN: 1402095945 ISBN-13(EAN): 9781402095948
Издательство: Springer
Цена: 7036 р.
Наличие на складе: Нет в наличии.
Описание: The field of binary Logics has two main areas of application, the Digital Design of Circuits and Propositional Logics. In both cases it is possible to teach the theoretical foundations and to do some exercises, but in both cases the examples that can be done in class and by hand are far away from examples that are relevant for practical problems.
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Aggregation Functions

Автор: Grabisch
Название: Aggregation Functions
ISBN: 0521519268 ISBN-13(EAN): 9780521519267
Издательство: Cambridge Academ
Цена: 6409 р.
Наличие на складе: Поставка под заказ.
Описание: Aggregation is the process of combining several numerical values into a single representative value, and an aggregation function performs this operation. These functions arise wherever aggregating information is important: applied and pure mathematics (probability, statistics, decision theory, functional equations), operations research, computer science, and many applied fields (economics and finance, pattern recognition and image processing, data fusion, etc.). This is a comprehensive, rigorous and self-contained exposition of aggregation functions. Classes of aggregation functions covered include triangular norms and conorms, copulas, means and averages, and those based on nonadditive integrals. The properties of each method, as well as their interpretation and analysis, are studied in depth, together with construction methods and practical identification methods. Special attention is given to the nature of scales on which values to be aggregated are defined (ordinal, interval, ratio, bipolar). It is an ideal introduction for graduate students and a unique resource for researchers.
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Zeta Functions of Graphs

Автор: Audrey Terras
Название: Zeta Functions of Graphs
ISBN: 0521113679 ISBN-13(EAN): 9780521113670
Издательство: Cambridge Academ
Цена: 3945 р.
Наличие на складе: Поставка под заказ.
Описание: Graph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes in several variables. Analogies abound with number-theoretic functions such as Riemann/Dedekind zeta functions. For example, there is a Riemann hypothesis (which may be false) and prime number theorem for graphs. Explicit constructions of graph coverings use Galois theory to generalize Cayley and Schreier graphs. Then non-isomorphic simple graphs with the same zeta are produced, showing you cannot hear the shape of a graph. The spectra of matrices such as the adjacency and edge adjacency matrices of a graph are essential to the plot of this book, which makes connections with quantum chaos and random matrix theory, plus expander/Ramanujan graphs of interest in computer science. Created for beginning graduate students, the book will also appeal to researchers. Many well-chosen illustrations and exercises, both theoretical and computer-based, are included throughout.
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Implicit Functions and Solution Mappings

Автор: Asen L. Dontchev; R. Tyrrell Rockafeller
Название: Implicit Functions and Solution Mappings
ISBN: 0387878203 ISBN-13(EAN): 9780387878201
Издательство: Springer
Цена: 5276 р.
Наличие на складе: Нет в наличии.
Описание: Treats the implicit function paradigm in the classical framework and beyond, focusing largely on properties of solution mappings of variational problems. This book considers implicit mappings defined by relations other than equations, such as, variational problems. It also provides applications to numerical analysis and optimization.
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Sets, functions, and logic

Автор: Devlin, Keith
Название: Sets, functions, and logic
ISBN: 1584884495 ISBN-13(EAN): 9781584884491
Издательство: Taylor&Francis
Цена: 3662 р.
Наличие на складе: Поставка под заказ.
Описание: Written by one of the world`s leading popularizers of mathematics, this book is suitable for undergraduate students of mathematics. It offers an introductory chapter on the nature of mathematics, a chapter on complex numbers, and a discussion of formal symbolic logic. It helps the students to transitioning from calculus to higher mathematics.
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V-invex functions and vector optimization

Автор: Mishra, Shashi Kant Wang, Shouyang Lai, Kin Keung
Название: V-invex functions and vector optimization
ISBN: 0387754458 ISBN-13(EAN): 9780387754451
Издательство: Springer
Цена: 9679 р.
Наличие на складе: Нет в наличии.
Описание: Summarizes an aspect of research work that has been done in the area of Generalized Convexity over the years. This book focuses on V-invex functions in vector optimization that have grown out of the work of Jeyakumar and Mond in the 1990`s. It demonstrates the context from which the area has grown and continues to grow.
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Completeness and Basis Properties of Sets of Special Functions

Автор: J. R. Higgins
Название: Completeness and Basis Properties of Sets of Special Functions
ISBN: 0521604885 ISBN-13(EAN): 9780521604888
Издательство: Cambridge Academ
Цена: 1774 р.
Наличие на складе: Поставка под заказ.
Описание: This tract presents an exposition of methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces. The first chapter contains the theoretical background to the subject, largely in a general Hilbert space setting, and theorems in which the structure of Hilbert space is revealed by properties of its bases are dealt with. Later parts of the book deal with methods: for example, the Vitali criterion, together with its generalisations and applications, is discussed in some detail, and there is an introduction to the theory of stability of bases. The last chapter deals with complete sets as eigenfunctions of differential and a table of a wide variety of bases and complete sets of special functions. Dr Higgins’ account will be useful to graduate students of mathematics and professional mathematicians, especially Banach spaces. The emphasis on methods of testing and their applications will also interest scientists and engineers engaged in fields such as the sampling theory of signals in electrical engineering and boundary value problems in mathematical physics.
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Nonsmooth Vector Functions and Continuous Optimization

Автор: Jeyakumar V., Luc D.T.
Название: Nonsmooth Vector Functions and Continuous Optimization
ISBN: 0387737162 ISBN-13(EAN): 9780387737164
Издательство: Springer
Цена: 8799 р.
Наличие на складе: Нет в наличии.
Описание: Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems, as well as variational inequalities in finite dimensions.
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Fuzzy Choice Functions / A Revealed Preference Approach

Автор: Georgescu Irina
Название: Fuzzy Choice Functions / A Revealed Preference Approach
ISBN: 3540689974 ISBN-13(EAN): 9783540689973
Издательство: Springer
Цена: 13199 р.
Наличие на складе: Нет в наличии.
Описание: The foundations of revealed preference theory for a competitive consumer were laid by Samuelson in 1938. Later this theory was axiomatically developed by Arrow, Sen, Suzumura and other economists into the theory of choice functions.This book extends the theory of revealed preference to fuzzy choice functions and provides applications to multicriteria decision making problems. The main topics of revealed preference theory (rationality, revealed preference and congruence axioms, consistency conditions) are treated in the framework of fuzzy choice functions. New topics, such as the degree of dominance and similarity of vague choices, are developed. The results obtained are applied to economic problems where partial information and human subjectivity involve vague choices and vague preferences. The book contains a number of new results achieved by the author. Even though the text is reasonably self-contained, previous knowledge of revealed preference and fuzzy set theory is helpful for the reader. Social choice theorists and computer scientists will find in this monograph stimulating material for further research and concrete applications.
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