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Author: T. Dube
Publisher:
ISBN: 9781332201143
Category : Mathematics
Languages : en
Pages : 36
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Book Description
Excerpt from The Structure of Polynomial Ideals and Grobner Bases The use of Grobner Bases is becoming increasingly important in algebraic computational geometry. As a result, there has been much activity in the recent years concerning the complexity of Buchberger's algorithm, and the degree of polynomials which it may produce. Bayer's thesis in 1982 provided the direction for recent research, and several recent papers have combined to show that the complexity of computing a Grobner Basis for a given ideal is double exponential in the number of variables. This paper introduces a new partitioning of a polynomial ideal. Using this partitioning, the sharpened degree bound can be obtained using only combinatorial arguments, and without the need to change coordinate systems. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works."
Author: T. Dube
Publisher:
ISBN: 9781332201143
Category : Mathematics
Languages : en
Pages : 36
Get Book Here
Book Description
Excerpt from The Structure of Polynomial Ideals and Grobner Bases The use of Grobner Bases is becoming increasingly important in algebraic computational geometry. As a result, there has been much activity in the recent years concerning the complexity of Buchberger's algorithm, and the degree of polynomials which it may produce. Bayer's thesis in 1982 provided the direction for recent research, and several recent papers have combined to show that the complexity of computing a Grobner Basis for a given ideal is double exponential in the number of variables. This paper introduces a new partitioning of a polynomial ideal. Using this partitioning, the sharpened degree bound can be obtained using only combinatorial arguments, and without the need to change coordinate systems. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works."
Author: Thomas W. Dube
Publisher: Franklin Classics Trade Press
ISBN: 9780353329546
Category : History
Languages : en
Pages : 32
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Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: T. Dube
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Thomas W. Dube
Publisher: Nabu Press
ISBN: 9781294056591
Category :
Languages : en
Pages : 34
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Book Description
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Author: Bruno Buchberger
Publisher: Cambridge University Press
ISBN: 9780521632980
Category : Mathematics
Languages : en
Pages : 566
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Book Description
Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.
Author: Bernd Sturmfels
Publisher: American Mathematical Soc.
ISBN: 0821804871
Category : Mathematics
Languages : en
Pages : 176
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Book Description
This book is about the interplay of computational commutative algebra and the theory of convex polytopes. It centres around a special class of ideals in a polynomial ring: the class of toric ideals. They are characterized as those prime ideals that are generated by monomial differences or as the defining ideals of toric varieties (not necessarily normal). The interdisciplinary nature of the study of Gröbner bases is reflected by the specific applications appearing in this book. These applications lie in the domains of integer programming and computational statistics. The mathematical tools presented in the volume are drawn from commutative algebra, combinatorics, and polyhedral geometry.
Author: Takayuki Hibi
Publisher: World Scientific
ISBN: 9814383465
Category : Mathematics
Languages : en
Pages : 385
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Book Description
This volume consists of research papers and expository survey articles presented by the invited speakers of the conference on OC Harmony of GrAbner Bases and the Modern Industrial SocietyOCO. Topics include computational commutative algebra, algebraic statistics, algorithms of D-modules and combinatorics. This volume also provides current trends on GrAbner bases and will stimulate further development of many research areas surrounding GrAbner bases."
Author: Viviana Ene
Publisher: American Mathematical Soc.
ISBN: 0821872877
Category : Mathematics
Languages : en
Pages : 178
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Book Description
This book provides a concise yet comprehensive and self-contained introduction to Grobner basis theory and its applications to various current research topics in commutative algebra. It especially aims to help young researchers become acquainted with fundamental tools and techniques related to Grobner bases which are used in commutative algebra and to arouse their interest in exploring further topics such as toric rings, Koszul and Rees algebras, determinantal ideal theory, binomial edge ideals, and their applications to statistics. The book can be used for graduate courses and self-study. More than 100 problems will help the readers to better understand the main theoretical results and will inspire them to further investigate the topics studied in this book.
Author: Teo Mora
Publisher: Cambridge University Press
ISBN: 9780521811569
Category : Mathematics
Languages : en
Pages : 792
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Book Description
This volume focuses on Buchberger theory and its application to the algorithmic view of commutative algebra. The presentation is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in its algorithmization.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 82
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Book Description
