Boolean Functions

With Engineering Applications and Computer Programs

• Winfrid G. Schneeweiss
Book

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

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
• Print ISBN 978-3-642-45640-4
• Online ISBN 978-3-642-45638-1