Boolean Functions: With Engineering Applications and Computer Programs - Tapa dura

Schneeweiss, Winfried G

 
9783540188926: Boolean Functions: With Engineering Applications and Computer Programs
Tapa dura
ISBN 10: 3540188924 ISBN 13: 9783540188926
Editorial: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1988

Reseña del editor

Modern systems engineering (e. g. switching circuits design) and operations research (e. g. reliability systems theory) use Boolean functions with increasing regularity. For practitioners and students in these fields books written for mathe­ maticians are in several respects not the best source of easy to use information, and standard books, such as, on switching circuits theory and reliability theory, are mostly somewhat narrow as far as Boolean analysis is concerned. Further­ more, in books on switching circuits theory the relevant stochastic theory is not covered. Aspects of the probabilistic theory of Boolean functions are treated in some works on reliability theory, but the results deserve a much broader interpre­ tation. Just as the applied theory (e. g. of the Laplace transform) is useful in control theory, renewal theory, queueing theory, etc. , the applied theory of Boolean functions (of indicator variables) can be useful in reliability theory, switching circuits theory, digital diagnostics and communications theory. This book is aimed at providing a sufficiently deep understanding of useful results both in practical work and in applied research. Boolean variables are restricted here to indicator or O/l variables, i. e. variables whose values, namely 0 and 1, are not free for a wide range of interpretations, e. g. in digital electronics 0 for L ==low voltage and 1 for H == high voltage.

Reseña del editor

This is a textbook and a reference book on Boolean functions, i.e. functions of binary vectors assuming at most two values 0 and 1. First, the conventional theory and its applications in computer engineering are covered. Then - revisiting and deepening the historical notation of George Boole - Boolean operators, typically NOT, AND, and OR are replaced by standard addition, subtraction,and multiplication. This is shown to be extremely useful in the stochastic theory of Boolean functions. The latter is covered at considerable depth with numerous applications mostly in the field of reliability systems theory (fault-trees etc.). In the context of fault tree evaluation several modern Boolean algorithms are discussed, and aspects of PASCAL implementations are reviewed. The book as a whole should help theoretically minded practitioners to a clearer and deeper understanding of Boolean functions and it should give numerous hints for practical numerical work via typically Boolean computer programs.

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Editorial
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Año de publicación
1988
Idioma
Inglés
ISBN 10 
3540188924
ISBN 13 
9783540188926
Encuadernación
Tapa dura
Número de páginas
276
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9783642456404: Boolean Functions: With Engineering Applications and Computer Programs

Edición Destacada

ISBN 10:  3642456405 ISBN 13:  9783642456404
Editorial: Springer, 1988
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