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Boolean Functions

With Engineering Applications and Computer Programs

  • Winfrid G. Schneeweiss

Table of contents

  1. Front Matter
    Pages I-XII
  2. Winfrid G. Schneeweiss
    Pages 8-21
  3. Winfrid G. Schneeweiss
    Pages 22-36
  4. Winfrid G. Schneeweiss
    Pages 37-94
  5. Winfrid G. Schneeweiss
    Pages 95-117
  6. Winfrid G. Schneeweiss
    Pages 118-130
  7. Winfrid G. Schneeweiss
    Pages 131-143
  8. Winfrid G. Schneeweiss
    Pages 144-162
  9. Winfrid G. Schneeweiss
    Pages 163-181
  10. Winfrid G. Schneeweiss
    Pages 182-217
  11. Winfrid G. Schneeweiss
    Pages 218-260
  12. Back Matter
    Pages 261-264

About this book

Introduction

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.

Keywords

Algebra Markov Markov model Symbol algorithms calculus communication model operator probability probability theory systems theory transformation

Authors and affiliations

  • Winfrid G. Schneeweiss
    • 1
  1. 1.Fachbereich Mathematik und Informatik Lehrgebiet Technische InformatikFernuniversität (Gesamthochschule)HagenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-45638-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-45640-4
  • Online ISBN 978-3-642-45638-1
  • Buy this book on publisher's site