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Lecture Notes in Economics and Mathematical Systems: Binary Functions and their Applications
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Lecture Notes in Economics and Mathematical Systems: Binary Functions and their Applications - Taschenbuch

1990, ISBN: 9783540528128

[ED: Taschenbuch / Paperback], [PU: Springer, Berlin], AUSFÜHRLICHERE BESCHREIBUNG: 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. INHALT: 1. Introduction.- 2. Binary Functions and their Representations by Implicants.- 2.1 Cube Indicators.- 2.2 Implicants.- 2.3 Prime Implicants.- 2.4 Representations by Implicants (Prime Implicants).- 3. Representations of Binary Functions by Implicates.- 3.1 Anticube Indicators.- 3.2 Implicates.- 3.3 Prime Implicates.- 3.4 Representations by Implicates (Prime Implicates).- 4. Reduction Methods.- 4.1 Notation.- 4.2 Rule.- 4.3 Rule.- 4.4 Rule.- 4.5 Rule.- 4.6 Rule.- 4.7 Rule (Corollary).- 4.8 Rule.- 4.9 Rule.- 5. Discrete Functions.- 5.1 Representations by Binary Functions.- 5.2 Monotone Functions.- 5.3 Semimonotone Functions.- 5.4 Implicants (Prime Implicants) of Discrete Functions.- 5.5 Representations by Implicants (Prime Implicants).- 5.6 Implicates (Prime Implicates) of Discrete Functions.- 5.7 Representations by Implicates (Prime Implicates).- 6. Applications.- 6.1 Reliability Structure of Technical Systems.- 6.2 Classification (Valuation) of Objects.- 7. A Class of Finite Boolean Algebras.- 7.1 Boolean Algebras.- 7.2 Boolean Algebras Generated by Finite Partitions.- 7.3 Representations of Boolean Elements by Implicants.- 7.4 Representations of Boolean Elements by Implicates.- 7.5 Probability.- 8. Applications.- 8.1 Set Algebras (Event Algebras).- 8.2 Indicator Algebras.- 8.3 Partitions in Propositional Logic.- 8.4 Algebras of Classes of Propositions.- 8.5 Truth Function Algebras.- 8.6 Some Related Models.- 8.7 Calculation of Elements of B .- Concluding Remark.- References.- List of Symbols., [SC: 0.00], Neuware, gewerbliches Angebot, 24,5 cm, [GW: 276g]

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Binary Functions and their Applications (Lecture Notes in Economics and Mathematical Systems) - Horand Störmer
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Horand Störmer:
Binary Functions and their Applications (Lecture Notes in Economics and Mathematical Systems) - Taschenbuch

ISBN: 3540528121

Paperback, [EAN: 9783540528128], Springer, Springer, Book, [PU: Springer], Springer, 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., 2602, Theory, 2581, Economics, 3, Business & Money, 1000, Subjects, 283155, Books, 5241, Gardening & Landscape Design, 10828041, By Climate, 5303, By Region, 5310, By Technique, 52072011, English Gardens, 5246, Essays, 5248, Flowers, 5269, Fruit, 5271, Garden Design, 5274, Garden Furnishings, 5278, Greenhouses, 5280, Herbs, 5283, House Plants, 5289, Japanese Gardens, 5291, Landscape, 5293, Lawns, 5297, Ornamental Plants, 5299, Outdoor & Recreational Areas, 5301, Reference, 5304, Shade, 5306, Shrubs, 572308, Soil, 5313, Trees, 5315, Vegetables, 52074011, Weed & Pest Control, 52075011, Wild Plants, 48, Crafts, Hobbies & Home, 1000, Subjects, 283155, Books, 13979, Reference, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 491586, Economic Theory, 491584, Economics, 468220, Business & Finance, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books, 468218, Mathematics, 491542, Algebra & Trigonometry, 491544, Calculus, 491546, Geometry, 491548, Statistics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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Binary Functions and their Applications - Störmer, Horand
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Störmer, Horand:
Binary Functions and their Applications - Taschenbuch

ISBN: 9783540528128

[ED: Softcover], [PU: Springer, Berlin], 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.viii, 156 S. 2 Tabellen.Versandfertig in 3-5 Tagen, [SC: 0.00]

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Binary Functions and Their Applications - Horand Stormer
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Binary Functions and Their Applications - neues Buch

1990, ISBN: 3540528121

ID: 17658846479

[EAN: 9783540528128], Neubuch, [PU: Springer-Verlag Berlin and Heidelberg GmbH and Co. KG], Mathematics|Number Systems, New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000

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Binary Functions and Their Applications - Stormer, Horand
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Stormer, Horand:
Binary Functions and Their Applications - Taschenbuch

1990, ISBN: 9783540528128

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Details zum Buch
Binary Functions and their Applications
Autor:

Störmer, Horand

Titel:

Binary Functions and their Applications

ISBN-Nummer:

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.

Detailangaben zum Buch - Binary Functions and their Applications


EAN (ISBN-13): 9783540528128
ISBN (ISBN-10): 3540528121
Taschenbuch
Erscheinungsjahr: 1990
Herausgeber: Springer-Verlag GmbH
164 Seiten
Gewicht: 0,250 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 29.05.2007 04:04:58
Buch zuletzt gefunden am 13.11.2016 09:59:20
ISBN/EAN: 3540528121

ISBN - alternative Schreibweisen:
3-540-52812-1, 978-3-540-52812-8


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