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Binary Functions and their Applications

  • Horand Störmer

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 348)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Horand Störmer
    Pages 1-2
  3. Horand Störmer
    Pages 36-43
  4. Horand Störmer
    Pages 44-79
  5. Horand Störmer
    Pages 80-83
  6. Horand Störmer
    Pages 84-109
  7. Horand Störmer
    Pages 110-142
  8. Horand Störmer
    Pages 143-143
  9. Back Matter
    Pages 144-156

About this book

Introduction

In this book binary functions and their representation by implicants or implicates are described. In particular minimal representations by prime implicants or prime implicates are given. Such representations generalize the minimal representations of the usual Boolean functions. It is shown that implicants (implicates) of discrete functions may be constructed with the help of implicants (implicates) of binary functions. One substantial application is the description of the reliability structure of technical systems, another is the use of binary respectively discrete functions to classify objects which are described by the grades of certain attributes. Finally a class of Boolean algebras of practical importance (set algebras, indicator algebras, algebras of classes of propositions) are considered. The elements of such algebras have representations which are strongly connected with the representations of binary functions.

Keywords

Binary function Binäre Funktionen Boolean algebra Boolesche Algebra Classification Discrete functions Klassifizierung Reliability linear optimization

Authors and affiliations

  • Horand Störmer
    • 1
  1. 1.Lehrstuhl für Mathematik V Fakultät für Mathematik und InformatikUniversität MannheimMannheim 1Germany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-61519-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-52812-8
  • Online ISBN 978-3-642-61519-1
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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