Binary Functions and their Applications: 348 (Lecture Notes in Economics and Mathematical Systems) - Softcover

Störmer, Horand

 
9783540528128: Binary Functions and their Applications: 348 (Lecture Notes in Economics and Mathematical Systems)
Softcover
ISBN 10: 3540528121 ISBN 13: 9783540528128
Verlag: Springer, 2013

Inhaltsangabe

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.

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Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
3540528121
ISBN 13 
9783540528128
Einband
Tapa blanda
Anzahl der Seiten
168
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
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Weitere beliebte Ausgaben desselben Titels

9780387528120: Binary Functions and Their Applications (Lecture Notes in Economics & Mathematical Systems)

Vorgestellte Ausgabe

ISBN 10:  0387528121 ISBN 13:  9780387528120
Softcover