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


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Автор: Saugata Basu; Richard Pollack; Marie-Fran?oise Cos
Название:  Algorithms in Real Algebraic Geometry
ISBN: 9783642069642
Издательство: Springer
Классификация: ISBN-10: 3642069649
Обложка/Формат: Paperback
Страницы: 662
Вес: 0.93 кг.
Дата издания: 20.11.2010
Серия: Algorithms and Computation in Mathematics
Язык: English
Размер: 234 x 156 x 34
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering. In this textbook the main ideas and techniques presented form a coherent and rich body of knowledge.

Mathematicians will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background.

Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students.

This second edition contains several recent results, on discriminants of symmetric matrices, real root isolation, global optimization, quantitative results on semi-algebraic sets and the first single exponential algorithm computing their first Betti number.




Information Theory, Inference and Learning Algorithms

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: 9029.00 р.
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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.

Algorithms in Bioinformatics

Автор: Sung
Название: Algorithms in Bioinformatics
ISBN: 1420070339 ISBN-13(EAN): 9781420070330
Издательство: Taylor&Francis
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Цена: 13779.00 р.
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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.

Real Algebraic Geometry

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: 6981.00 р.
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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.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

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: 10480.00 р.
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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.

Algorithms in Algebraic Geometry

Автор: Alicia Dickenstein; Frank-Olaf Schreyer; Andrew J.
Название: Algorithms in Algebraic Geometry
ISBN: 144192583X ISBN-13(EAN): 9781441925831
Издательство: Springer
Цена: 18167.00 р.
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Описание:

In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric computation. The workshop on Algorithms in Algebraic Geometry that was held in the framework of the IMA Annual Program Year in Applications of Algebraic Geometry by the Institute for Mathematics and Its Applications on September 2006 is one tangible indication of the interest. This volume of articles captures some of the spirit of the IMA workshop.

Real Algebraic 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: 20956.00 р.
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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. . . . . . . . . . . . . . . . . .

Real Algebraic Geometry

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: 7685.00 р.
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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.

Real Analytic and Algebraic Geometry

Автор: Margherita Galbiati; Alberto Tognoli
Название: Real Analytic and Algebraic Geometry
ISBN: 3540523138 ISBN-13(EAN): 9783540523130
Издательство: Springer
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Цена: 4884.00 р.
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Algorithms in Algebraic Geometry and Applications

Автор: Laureano Gonzalez-Vega; Recio Tomas
Название: Algorithms in Algebraic Geometry and Applications
ISBN: 3034899084 ISBN-13(EAN): 9783034899086
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This volume arises from the contributions presented at the MEGA 94 Con- ference (Metodos Efectivos en Geomctria Algebraica = Effective Methods in Algebraic Geometry), held at the University of Cantabria (Santander, Spain) April 59, 1994. Previous sessions of this biannual conference had taken place in Castiglioncello (Livorno, Italy, 1990) and in Nice (France, 1992) and the cor- responding proceedings have been published in the Birkhauser series Progress in Mathematics. volumes no. 94 and 109, respectively. The present collection consists of twenty articles involvillg miscellaneous topics concerning algorithms in algebra, algebraic geometry and related appli- cations. Fourteen of these papers correspond to the contents of the Conference's regular scientific program and have been selected, by the MEGA Committee, from the submitted contributions after a very rigorous refereeing procedure entailing an average of three independent reports per paper and two Program Committee panel discussions before and after the Conference. The remaining six papers (by S. Beck & M. Kreuzer, M. Bronstein, E. V. Flvnn. 1. Itenberg, J.-P. Merlet and 1\1. Seppala) correspond to invited talks and have also been subject to a post-conference refereeing procedure.

Fundamentals of Machine Learning for Predictive Data Analytics: Algorithms, Worked Examples, and Case Studies

Автор: Kelleher John D., Macnamee Brian, D`Arcy Aoife
Название: Fundamentals of Machine Learning for Predictive Data Analytics: Algorithms, Worked Examples, and Case Studies
ISBN: 0262029448 ISBN-13(EAN): 9780262029445
Издательство: MIT Press
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Цена: 13543.00 р.
Наличие на складе: Нет в наличии.

Описание:

A comprehensive introduction to the most important machine learning approaches used in predictive data analytics, covering both theoretical concepts and practical applications.

Machine learning is often used to build predictive models by extracting patterns from large datasets. These models are used in predictive data analytics applications including price prediction, risk assessment, predicting customer behavior, and document classification. This introductory textbook offers a detailed and focused treatment of the most important machine learning approaches used in predictive data analytics, covering both theoretical concepts and practical applications. Technical and mathematical material is augmented with explanatory worked examples, and case studies illustrate the application of these models in the broader business context.

After discussing the trajectory from data to insight to decision, the book describes four approaches to machine learning: information-based learning, similarity-based learning, probability-based learning, and error-based learning. Each of these approaches is introduced by a nontechnical explanation of the underlying concept, followed by mathematical models and algorithms illustrated by detailed worked examples. Finally, the book considers techniques for evaluating prediction models and offers two case studies that describe specific data analytics projects through each phase of development, from formulating the business problem to implementation of the analytics solution. The book, informed by the authors' many years of teaching machine learning, and working on predictive data analytics projects, is suitable for use by undergraduates in computer science, engineering, mathematics, or statistics; by graduate students in disciplines with applications for predictive data analytics; and as a reference for professionals.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

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: 9781.00 р.
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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;

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Автор: Teo Mora
Название: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
ISBN: 3540510834 ISBN-13(EAN): 9783540510833
Издательство: Springer
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Цена: 12577.00 р.
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