Algorithms in Real Algebraic Geometry, Saugata Basu; Richard Pollack; Marie-Fran?oise Cos

Автор: David J. C. MacKay
Название: Information Theory, Inference and Learning Algorithms
ISBN: 0521642981 ISBN-13(EAN): 9780521642989
Издательство: Cambridge Academ
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Цена: 60190.00 T
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Описание: This exciting and entertaining textbook is ideal for courses in information, communication and coding. It is an unparalleled entry point to these subjects for professionals working in areas as diverse as computational biology, data mining, financial engineering and machine learning.

Автор: Sung
Название: Algorithms in Bioinformatics
ISBN: 1420070339 ISBN-13(EAN): 9781420070330
Издательство: Taylor&Francis
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Цена: 91860.00 T
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Описание: Presents an introduction to the algorithmic techniques applied in bioinformatics. For each topic, this title details the biological motivation, defines the corresponding computational problems, and includes examples to illustrate each algorithm.

Автор: Michel Coste; Louis Mahe; Marie-Francoise Roy
Название: Real Algebraic Geometry
ISBN: 3540559922 ISBN-13(EAN): 9783540559924
Издательство: Springer
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Цена: 46540.00 T
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Описание: The proceedings of a conference on real algebraic geometry, which examines such issues as the topology of real algebraic varieties, classical algebraic geometry, algorithms and techniques, semialgebraic geometry and real analytical geometry.

Автор: Jacek Bochnak; Michel Coste; Marie-Francoise Roy
Название: Real Algebraic Geometry
ISBN: 364208429X ISBN-13(EAN): 9783642084294
Издательство: Springer
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Цена: 139710.00 T
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Описание: The present volume is a translation, revision and updating of our book (pub- lished in French) with the title "Geometrie Algebrique Reelle." Since its pub- lication in 1987 the theory has made advances in several directions. There have also been new insights into material already in the French edition. Many of these advances and insights have been incorporated in this English version of the book, so that it may be viewed as being substantially different from the original. We wish to thank Michael Buchner for his careful reading of the text and for his linguistic corrections and stylistic improvements. The initial Jb. TEiX file was prepared by Thierry van Effelterre. The three authors participate in the European research network "Real Algebraic and Analytic Geometry." The first author was partially supported by NATO Collaborative Research Grant 960011. Jacek Bochnak April 1998 Michel Coste Marie-Pranroise Roy Table of Contents Preface. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. Ordered Fields, Real Closed Fields . . . . . . . . . . . . . . . . . . . . . . . 7 1. 1 Ordered Fields, Real Fields . . . . . " . . . . . . . . . . . . . . . . . . . . . . . 7 1. 2 Real Closed Fields. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1. 3 Real Closure of an Ordered Field. . . . . . . . . . . . . . . . . . . . . . . . . 14 1. 4 The Tarski-Seidenberg Principle. . . . . . . . . . . . . . . . . . . . . . . . . . 17 2. Semi-algebraic Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2. 1 Algebraic and Semi-algebraic Sets. . . . . . . . . . . . . . . . . . . . . . . . 23 2. 2 Projection of Semi-algebraic Sets. Semi-algebraic Mappings. . 26 2. 3 Decomposition of Semi-algebraic Sets. . . . . . . . . . . . . . . . . . . . . 30 2. 4 Connectedness. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 2. 5 Closed and Bounded Semi-algebraic Sets. Curve-selection Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2. 6 Continuous Semi-algebraic Functions. Lojasiewicz's Inequality 42 2. 7 Separation of Closed Semi-algebraic Sets. . . . . . . . . . . . . . . . . .

Автор: Vladimir I. Arnold; Ilia Itenberg; Viatcheslav Kha
Название: Real Algebraic Geometry
ISBN: 3642362427 ISBN-13(EAN): 9783642362422
Издательство: Springer
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Цена: 51230.00 T
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Описание: This book addresses the relationship between algebraic formulas and geometric images. In spite of the simplicity and importance of this problem, it remains unsolved to this day although, as the book shows, many remarkable results have been discovered.

Автор: Maria Bras-Amor?s; Tom H?holdt
Название: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
ISBN: 3642021808 ISBN-13(EAN): 9783642021800
Издательство: Springer
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Цена: 65210.00 T
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Описание: This book constitutes the refereed proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-18, held in Tarragona, Spain, in June 2009. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes;

Автор: Margherita Galbiati; Alberto Tognoli
Название: Real Analytic and Algebraic Geometry
ISBN: 3540523138 ISBN-13(EAN): 9783540523130
Издательство: Springer
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Цена: 32560.00 T
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Автор: Jacek Bochnak; Michel Coste; Marie-Francoise Roy
Название: Real Algebraic Geometry
ISBN: 3540646639 ISBN-13(EAN): 9783540646631
Издательство: Springer
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Цена: 130430.00 T
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Описание: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Ordered Fields, Real Closed Fields . . . . . . 1 Ordered Fields, Real Fields . " . Semi-algebraic Sets . Curve-selection Lemma .

Автор: Harold F. Mattson; Teo Mora; T.R.N. Rao
Название: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
ISBN: 3540545220 ISBN-13(EAN): 9783540545224
Издательство: Springer
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Цена: 83850.00 T
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Описание: This volume contains the proceedings of AAECC-9, held in New Orleans in October 1991. The aim of AAECC-9 was to encourage cross-fertilization among areas sharing the use of algebraic methods and techniques for applications in computing, communications and engineering.

Автор: Gabriel Winter Althaus; E. Spedicato
Название: Algorithms for Large Scale Linear Algebraic Systems:
ISBN: 9048150043 ISBN-13(EAN): 9789048150045
Издательство: Springer
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Цена: 214290.00 T
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Автор: Jaques Calmet
Название: Algebraic Algorithms and Error-Correcting Codes
ISBN: 3540167765 ISBN-13(EAN): 9783540167761
Издательство: Springer
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Цена: 81050.00 T
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Автор: Serdar Boztas; Igor E. Shparlinski
Название: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
ISBN: 3540429115 ISBN-13(EAN): 9783540429111
Издательство: Springer
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Цена: 69870.00 T
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Описание: These proceedings - of AAECC-14 - cover block codes, code constructions, codes and algebra - rings and fields, and algebraic geometry codes, sequences, cryptography, algorithms, algorithms - decoding, and algebraic constructions.