Binary Functions and their Applications:
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 impl...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1990
|
| Edition: | 1st ed. 1990 |
| Series: | Lecture Notes in Economics and Mathematical Systems
348 |
| Subjects: | |
| Links: | https://doi.org/10.1007/978-3-642-61519-1 https://doi.org/10.1007/978-3-642-61519-1 |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (VIII, 156 p) |
| ISBN: | 9783642615191 |
| DOI: | 10.1007/978-3-642-61519-1 |
Staff View
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| 520 | |a 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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| dewey-ones | 330 - Economics |
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| discipline | Mathematik Wirtschaftswissenschaften |
| doi_str_mv | 10.1007/978-3-642-61519-1 |
| edition | 1st ed. 1990 |
| format | Electronic eBook |
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| id | DE-604.BV046871404 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T19:03:19Z |
| institution | BVB |
| isbn | 9783642615191 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032281535 |
| oclc_num | 863775988 |
| open_access_boolean | |
| owner | DE-634 |
| owner_facet | DE-634 |
| physical | 1 Online-Ressource (VIII, 156 p) |
| psigel | ZDB-2-SBE ZDB-2-BAE ZDB-2-SBE_Archiv ZDB-2-SBE ZDB-2-SBE_Archiv |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Lecture Notes in Economics and Mathematical Systems |
| spelling | Störmer, Horand Verfasser aut Binary Functions and their Applications by Horand Störmer 1st ed. 1990 Berlin, Heidelberg Springer Berlin Heidelberg 1990 1 Online-Ressource (VIII, 156 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 348 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 Economic Theory/Quantitative Economics/Mathematical Methods Economic theory Binäre Funktion (DE-588)4242035-0 gnd rswk-swf Boolesche Funktion (DE-588)4146281-6 gnd rswk-swf Boolesche Funktion (DE-588)4146281-6 s DE-604 Binäre Funktion (DE-588)4242035-0 s Erscheint auch als Druck-Ausgabe 9783540528128 Erscheint auch als Druck-Ausgabe 9783642615207 https://doi.org/10.1007/978-3-642-61519-1 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Störmer, Horand Binary Functions and their Applications Economic Theory/Quantitative Economics/Mathematical Methods Economic theory Binäre Funktion (DE-588)4242035-0 gnd Boolesche Funktion (DE-588)4146281-6 gnd |
| subject_GND | (DE-588)4242035-0 (DE-588)4146281-6 |
| title | Binary Functions and their Applications |
| title_auth | Binary Functions and their Applications |
| title_exact_search | Binary Functions and their Applications |
| title_full | Binary Functions and their Applications by Horand Störmer |
| title_fullStr | Binary Functions and their Applications by Horand Störmer |
| title_full_unstemmed | Binary Functions and their Applications by Horand Störmer |
| title_short | Binary Functions and their Applications |
| title_sort | binary functions and their applications |
| topic | Economic Theory/Quantitative Economics/Mathematical Methods Economic theory Binäre Funktion (DE-588)4242035-0 gnd Boolesche Funktion (DE-588)4146281-6 gnd |
| topic_facet | Economic Theory/Quantitative Economics/Mathematical Methods Economic theory Binäre Funktion Boolesche Funktion |
| url | https://doi.org/10.1007/978-3-642-61519-1 |
| work_keys_str_mv | AT stormerhorand binaryfunctionsandtheirapplications |