Relational mathematics:
Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and s...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2011
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 132 |
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-92 DE-19 Volltext |
| Zusammenfassung: | Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 Online-Ressource (xiii, 567 Seiten) |
| ISBN: | 9780511778810 |
| DOI: | 10.1017/CBO9780511778810 |
Internformat
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| 505 | 8 | |a Representations of relations -- Sets, subsets, and elements -- Relations -- Operations and constructions -- Algebraic operations on relations -- Order and function : the standard view -- Relations and vectors -- Domain construction -- Algebra -- Relation algebra -- Orders and lattices -- REctangles, fringes, inverses -- Concept analysis -- Applications -- Orderings: an advanced view -- Preference and indifference -- Aggregating preferences -- Relational graph theory -- Standard Galois mechanisms -- Advanced topics -- Mathematical applications -- Implication structures -- Power operations | |
| 520 | |a Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities | ||
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| author | Schmidt, Gunther 1939- |
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| contents | Representations of relations -- Sets, subsets, and elements -- Relations -- Operations and constructions -- Algebraic operations on relations -- Order and function : the standard view -- Relations and vectors -- Domain construction -- Algebra -- Relation algebra -- Orders and lattices -- REctangles, fringes, inverses -- Concept analysis -- Applications -- Orderings: an advanced view -- Preference and indifference -- Aggregating preferences -- Relational graph theory -- Standard Galois mechanisms -- Advanced topics -- Mathematical applications -- Implication structures -- Power operations |
| ctrlnum | (ZDB-20-CBO)CR9780511778810 (OCoLC)885210432 (DE-599)BVBBV043942372 |
| dewey-full | 004.0151 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 004 - Computer science |
| dewey-raw | 004.0151 |
| dewey-search | 004.0151 |
| dewey-sort | 14.0151 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1017/CBO9780511778810 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-20T05:24:52Z |
| institution | BVB |
| isbn | 9780511778810 |
| language | English |
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| publishDate | 2011 |
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| series2 | Encyclopedia of mathematics and its applications |
| spelling | Schmidt, Gunther 1939- Verfasser (DE-588)12940893X aut Relational mathematics Gunther Schmidt Cambridge Cambridge University Press 2011 1 Online-Ressource (xiii, 567 Seiten) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 132 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Representations of relations -- Sets, subsets, and elements -- Relations -- Operations and constructions -- Algebraic operations on relations -- Order and function : the standard view -- Relations and vectors -- Domain construction -- Algebra -- Relation algebra -- Orders and lattices -- REctangles, fringes, inverses -- Concept analysis -- Applications -- Orderings: an advanced view -- Preference and indifference -- Aggregating preferences -- Relational graph theory -- Standard Galois mechanisms -- Advanced topics -- Mathematical applications -- Implication structures -- Power operations Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities Informatik Mathematik Computer science / Mathematics Operations research / Mathematics Relation Mathematik (DE-588)4177675-6 gnd rswk-swf Relation Mathematik (DE-588)4177675-6 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-76268-7 https://doi.org/10.1017/CBO9780511778810 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schmidt, Gunther 1939- Relational mathematics Representations of relations -- Sets, subsets, and elements -- Relations -- Operations and constructions -- Algebraic operations on relations -- Order and function : the standard view -- Relations and vectors -- Domain construction -- Algebra -- Relation algebra -- Orders and lattices -- REctangles, fringes, inverses -- Concept analysis -- Applications -- Orderings: an advanced view -- Preference and indifference -- Aggregating preferences -- Relational graph theory -- Standard Galois mechanisms -- Advanced topics -- Mathematical applications -- Implication structures -- Power operations Informatik Mathematik Computer science / Mathematics Operations research / Mathematics Relation Mathematik (DE-588)4177675-6 gnd |
| subject_GND | (DE-588)4177675-6 |
| title | Relational mathematics |
| title_auth | Relational mathematics |
| title_exact_search | Relational mathematics |
| title_full | Relational mathematics Gunther Schmidt |
| title_fullStr | Relational mathematics Gunther Schmidt |
| title_full_unstemmed | Relational mathematics Gunther Schmidt |
| title_short | Relational mathematics |
| title_sort | relational mathematics |
| topic | Informatik Mathematik Computer science / Mathematics Operations research / Mathematics Relation Mathematik (DE-588)4177675-6 gnd |
| topic_facet | Informatik Mathematik Computer science / Mathematics Operations research / Mathematics Relation Mathematik |
| url | https://doi.org/10.1017/CBO9780511778810 |
| work_keys_str_mv | AT schmidtgunther relationalmathematics |