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Author : Jan Snellman
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (258 download)
Download or read book Initial Ideals of Truncated Homogeneous Ideals written by Jan Snellman and published by . This book was released on 1996 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gunnar Fløystad
Publisher : American Mathematical Soc.
ISBN 13 : 0821808532
Total Pages : 82 pages
Book Rating : 4.8/5 (218 download)
Download or read book Higher Initial Ideals of Homogeneous Ideals written by Gunnar Fløystad and published by American Mathematical Soc.. This book was released on 1998 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a homogeneous ideal I and a monomial order, the initials ideal in (I) can be formed. The initial idea gives information about I, but quite a lot of information is also lost. The author remedies this by defining a series of higher initial ideals of a homogenous ideal, and considers the case when I is the homogenous ideal of a curve in P3 and the monomial order is reverse lexicographic. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Gunnar Fløystad
Publisher : Oxford University Press, USA
ISBN 13 : 9781470402273
Total Pages : 82 pages
Book Rating : 4.4/5 (22 download)
Download or read book Higher Initial Ideals of Homogeneous Ideals written by Gunnar Fløystad and published by Oxford University Press, USA. This book was released on 2014-09-11 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians.
Author : Bruno Buchberger
Publisher : Cambridge University Press
ISBN 13 : 9780521632980
Total Pages : 566 pages
Book Rating : 4.6/5 (329 download)
Download or read book Gröbner Bases and Applications written by Bruno Buchberger and published by Cambridge University Press. This book was released on 1998-02-26 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.
Author : Bernd Sturmfels
Publisher : American Mathematical Soc.
ISBN 13 : 0821804871
Total Pages : 176 pages
Book Rating : 4.8/5 (218 download)
Download or read book Grobner Bases and Convex Polytopes written by Bernd Sturmfels and published by American Mathematical Soc.. This book was released on 1996 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : John V. Shebalin
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (317 download)
Download or read book The Statistical Mechanics of Ideal Homogeneous Turbulence written by John V. Shebalin and published by . This book was released on 2002 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plasmas, such as those found in the space environment or in plasma confinement devices, are often modeled as electrically conducting fluids. When fluids and plasmas are energetically stirred, regions of highly nonlinear, chaotic behavior known as turbulence arise. Understanding the fundamental nature of turbulence is a long-standing theoretical challenge. The present work describes a statistical theory concerning a certain class of nonlinear, finite dimensional, dynamical models of turbulence. These models arise when the partial differential equations describing incompressible, ideal (i.e., non-dissipative) homogeneous fluid and magnetofluid (i.e., plasma) turbulence are Fourier transformed into a very large set of ordinary differential equations. These equations define a divergenceless flow in a high-dimensional phase space, which allows for the existence of a Lionville theorem, guaranteeing a distribution function based on constants of the motion (integral invariants).
Author : Jiawang Nie
Publisher : SIAM
ISBN 13 : 1611977606
Total Pages : 484 pages
Book Rating : 4.6/5 (119 download)
Download or read book Moment and Polynomial Optimization written by Jiawang Nie and published by SIAM. This book was released on 2023-06-15 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Moment and polynomial optimization is an active research field used to solve difficult questions in many areas, including global optimization, tensor computation, saddle points, Nash equilibrium, and bilevel programs, and it has many applications. The author synthesizes current research and applications, providing a systematic introduction to theory and methods, a comprehensive approach for extracting optimizers and solving truncated moment problems, and a creative methodology for using optimality conditions to construct tight Moment-SOS relaxations. This book is intended for applied mathematicians, engineers, and researchers entering the field. It can be used as a textbook for graduate students in courses on convex optimization, polynomial optimization, and matrix and tensor optimization.
Author : Gunnar Floystad
Publisher :
ISBN 13 :
Total Pages : 57 pages
Book Rating : 4.:/5 (39 download)
Download or read book Higher Initial Images of Homogeneous Ideals written by Gunnar Floystad and published by . This book was released on 1994 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karin Gatermann
Publisher : Springer
ISBN 13 : 3540465197
Total Pages : 163 pages
Book Rating : 4.5/5 (44 download)
Download or read book Computer Algebra Methods for Equivariant Dynamical Systems written by Karin Gatermann and published by Springer. This book was released on 2007-05-06 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book starts with an overview of the research of Gröbner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems. The next chapter describes algorithms in invariant theory including many examples and time tables. These techniques are applied in the chapters on symmetric bifurcation theory and equivariant dynamics. This combination of different areas of mathematics will be interesting to researchers in computational algebra and/or dynamics.
Author : Irena Peeva
Publisher : CRC Press
ISBN 13 : 1420050915
Total Pages : 305 pages
Book Rating : 4.4/5 (2 download)
Download or read book Syzygies and Hilbert Functions written by Irena Peeva and published by CRC Press. This book was released on 2007-03-20 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh developments in the field as well as fundamental concepts.
Author :
Publisher :
ISBN 13 :
Total Pages : 776 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Kreuzer
Publisher : Springer Science & Business Media
ISBN 13 : 3540282963
Total Pages : 592 pages
Book Rating : 4.5/5 (42 download)
Download or read book Computational Commutative Algebra 2 written by Martin Kreuzer and published by Springer Science & Business Media. This book was released on 2005-11-04 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The second volume of the authors’ ‘Computational commutative algebra’...covers on its 586 pages a wealth of interesting material with several unexpected applications. ... an encyclopedia on computational commutative algebra, a source for lectures on the subject as well as an inspiration for seminars. The text is recommended for all those who want to learn and enjoy an algebraic tool that becomes more and more relevant to different fields of applications." --ZENTRALBLATT MATH
Author : Werner M. Seiler
Publisher : Springer Science & Business Media
ISBN 13 : 3642012876
Total Pages : 663 pages
Book Rating : 4.6/5 (42 download)
Download or read book Involution written by Werner M. Seiler and published by Springer Science & Business Media. This book was released on 2009-10-26 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas.
Author : Alfonso Miola
Publisher : Springer Science & Business Media
ISBN 13 : 9783540525318
Total Pages : 300 pages
Book Rating : 4.5/5 (253 download)
Download or read book Design and Implementation of Symbolic Computation Systems written by Alfonso Miola and published by Springer Science & Business Media. This book was released on 1990-03-26 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The growing importance of the systems for symbolic computation has greatly influenced the decision of organizing DISCO '90 which is short for International Symposium on Design and Implementation of Symbolic Computation Systems. DISCO '90 focuses mainly on the most innovative methodological and technological aspects of hardware and software system design and implementation for Symbolic and Algebraic Computation, Automated Reasoning, Software Environments (Languages and User Interfaces), and Automatic Programming. In particular, it includes papers on the design and the development of significant running systems. The general objective of DISCO '90 is to present an up-to-date view of the field, while encouraging the scientific exchange among academic, industrial and user communities of the development of systems for symbolic computation.
Author : Ezra Miller
Publisher : Springer Science & Business Media
ISBN 13 : 9780387237077
Total Pages : 442 pages
Book Rating : 4.2/5 (37 download)
Download or read book Combinatorial Commutative Algebra written by Ezra Miller and published by Springer Science & Business Media. This book was released on 2005-06-21 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs
Author : Harm Derksen
Publisher : Springer
ISBN 13 : 3662484226
Total Pages : 387 pages
Book Rating : 4.6/5 (624 download)
Download or read book Computational Invariant Theory written by Harm Derksen and published by Springer. This book was released on 2015-12-23 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ring of a given group action can be calculated. Algorithms for this purpose form the main pillars around which the book is built. There are two introductory chapters, one on Gröbner basis methods and one on the basic concepts of invariant theory, which prepare the ground for the algorithms. Then algorithms for computing invariants of finite and reductive groups are discussed. Particular emphasis lies on interrelations between structural properties of invariant rings and computational methods. Finally, the book contains a chapter on applications of invariant theory, covering fields as disparate as graph theory, coding theory, dynamical systems, and computer vision. The book is intended for postgraduate students as well as researchers in geometry, computer algebra, and, of course, invariant theory. The text is enriched with numerous explicit examples which illustrate the theory and should be of more than passing interest. More than ten years after the first publication of the book, the second edition now provides a major update and covers many recent developments in the field. Among the roughly 100 added pages there are two appendices, authored by Vladimi r Popov, and an addendum by Norbert A'Campo and Vladimir Popov.
Author : Götz Alefeld
Publisher : Springer Science & Business Media
ISBN 13 : 3709162807
Total Pages : 269 pages
Book Rating : 4.7/5 (91 download)
Download or read book Symbolic Algebraic Methods and Verification Methods written by Götz Alefeld and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: The usual "implementation” of real numbers as floating point numbers on existing computers has the well-known disadvantage that most of the real numbers are not exactly representable in floating point. Also the four basic arithmetic operations can usually not be performed exactly. During the last years research in different areas has been intensified in order to overcome these problems. (LEDA-Library by K. Mehlhorn et al., "Exact arithmetic with real numbers” by A. Edalat et al., Symbolic algebraic methods, verification methods). The latest development is the combination of symbolic-algebraic methods and verification methods to so-called hybrid methods. – This book contains a collection of worked out talks on these subjects given during a Dagstuhl seminar at the Forschungszentrum für Informatik, Schlo€ Dagstuhl, Germany, presenting the state of the art.
