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Author : Ph. Tuan Nghiem
Publisher :
ISBN 13 :
Total Pages : 43 pages
Book Rating : 4.:/5 (674 download)
Download or read book A Representation of Integer Points in a Polyhedral Cone written by Ph. Tuan Nghiem and published by . This book was released on 1970 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Barvinok
Publisher : European Mathematical Society
ISBN 13 : 9783037190524
Total Pages : 204 pages
Book Rating : 4.1/5 (95 download)
Download or read book Integer Points in Polyhedra written by Alexander Barvinok and published by European Mathematical Society. This book was released on 2008 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained exposition of several core aspects of the theory of rational polyhedra with a view towards algorithmic applications to efficient counting of integer points, a problem arising in many areas of pure and applied mathematics. The approach is based on the consistent development and application of the apparatus of generating functions and the algebra of polyhedra. Topics range from classical, such as the Euler characteristic, continued fractions, Ehrhart polynomial, Minkowski Convex Body Theorem, and the Lenstra-Lenstra-Lovasz lattice reduction algorithm, to recent advances such as the Berline-Vergne local formula. The text is intended for graduate students and researchers. Prerequisites are a modest background in linear algebra and analysis as well as some general mathematical maturity. Numerous figures, exercises of varying degree of difficulty as well as references to the literature and publicly available software make the text suitable for a graduate course.
Author : Matthias Beck
Publisher : American Mathematical Soc.
ISBN 13 : 0821841734
Total Pages : 202 pages
Book Rating : 4.8/5 (218 download)
Download or read book Integer Points in Polyhedra -- Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics written by Matthias Beck and published by American Mathematical Soc.. This book was released on 2008 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The AMS-IMS-SIAM Joint Summer Research Conference "Integer Points in Polyhedra--Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics" was held in Snowbird, Utah in June 2006. This proceedings volume contains research and survey articles originating from the conference. The volume is a cross section of recent advances connected to lattice-point questions. Similar to the talks given at the conference, topics range from commutative algebra to optimization, from discrete geometry to statistics, from mirror symmetry to geometry of numbers. The book is suitable for researchers and graduate students interested in combinatorial aspects of the above fields." -- Back cover.
Author : Alexander Barvinok
Publisher : American Mathematical Soc.
ISBN 13 : 0821834592
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)
Download or read book Integer Points in Polyhedra -- Geometry, Number Theory, Algebra, Optimization written by Alexander Barvinok and published by American Mathematical Soc.. This book was released on 2005 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The AMS-IMS-SIAM Summer Research Conference on Integer Points in Polyhedra took place in Snowbird (UT). This proceedings volume contains original research and survey articles stemming from that event. Topics covered include commutative algebra, optimization, discrete geometry, statistics, representation theory, and symplectic geometry. The book is suitable for researchers and graduate students interested in combinatorial aspects of the above fields.
Author : Matthias Beck
Publisher : Springer
ISBN 13 : 1493929690
Total Pages : 295 pages
Book Rating : 4.4/5 (939 download)
Download or read book Computing the Continuous Discretely written by Matthias Beck and published by Springer. This book was released on 2015-11-14 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as beginning graduate students, this second edition is perfect for a capstone course, and adds two new chapters, many new exercises, and updated open problems. For scientists, this text can be utilized as a self-contained tooling device. The topics include a friendly invitation to Ehrhart’s theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coin-exchange problem, Dedekind sums, solid angles, Euler–Maclaurin summation for polytopes, computational geometry, magic squares, zonotopes, and more. With more than 300 exercises and open research problems, the reader is an active participant, carried through diverse but tightly woven mathematical fields that are inspired by an innocently elementary question: What are the relationships between the continuous volume of a polytope and its discrete volume? Reviews of the first edition: “You owe it to yourself to pick up a copy of Computing the Continuous Discretely to read about a number of interesting problems in geometry, number theory, and combinatorics.” — MAA Reviews “The book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the mate rial, exercises, open problems and an extensive bibliography.” — Zentralblatt MATH “This beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.” — Mathematical Reviews “Many departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying way. Beck and Robins have written the perfect text for such a course.” — CHOICE
Author :
Publisher :
ISBN 13 :
Total Pages : 746 pages
Book Rating : 4.:/5 (334 download)
Download or read book Research in Progress written by and published by . This book was released on 1969 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Satoshi Aoki
Publisher : Springer Science & Business Media
ISBN 13 : 1461437199
Total Pages : 294 pages
Book Rating : 4.4/5 (614 download)
Download or read book Markov Bases in Algebraic Statistics written by Satoshi Aoki and published by Springer Science & Business Media. This book was released on 2012-07-25 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic statistics is a rapidly developing field, where ideas from statistics and algebra meet and stimulate new research directions. One of the origins of algebraic statistics is the work by Diaconis and Sturmfels in 1998 on the use of Gröbner bases for constructing a connected Markov chain for performing conditional tests of a discrete exponential family. In this book we take up this topic and present a detailed summary of developments following the seminal work of Diaconis and Sturmfels. This book is intended for statisticians with minimal backgrounds in algebra. As we ourselves learned algebraic notions through working on statistical problems and collaborating with notable algebraists, we hope that this book with many practical statistical problems is useful for statisticians to start working on the field.
Author :
Publisher :
ISBN 13 :
Total Pages : 1338 pages
Book Rating : 4.3/5 (243 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 1338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9781470417741
Total Pages : 147 pages
Book Rating : 4.4/5 (177 download)
Download or read book Polyhedral Computation written by and published by . This book was released on 2009 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many polytopes of practical interest have enormous output complexity and are often highly degenerate, posing severe difficulties for known general-purpose algorithms. They are, however, highly structured, and attention has turned to exploiting this structure, particularly symmetry. Initial applications of this approach have permitted computations previously far out of reach, but much remains to be understood and validated experimentally. The papers in this volume give a good snapshot of the ideas discussed at a Workshop on Polyhedral Computation held at the CRM in Montréal in October 2006 and,
Author : Saul I. Gass
Publisher : Springer Science & Business Media
ISBN 13 : 1402081138
Total Pages : 221 pages
Book Rating : 4.4/5 (2 download)
Download or read book An Annotated Timeline of Operations Research written by Saul I. Gass and published by Springer Science & Business Media. This book was released on 2007-02-15 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Annotated Timeline of Operations Research: An Informal History recounts the evolution of Operations Research (OR) as a new science - the science of decision making. Arising from the urgent operational issues of World War II, the philosophy and methodology of OR has permeated the resolution of decision problems in business, industry, and government. The Timeline chronicles the history of OR in the form of self-contained, expository entries. Each entry presents a concise explanation of the events and people under discussion, and provides key sources where further relevant information can be obtained. In addition, books and papers that have influenced the development of OR or helped to educate the first generations of OR academics and practitioners are cited throughout the book. Starting in 1564 with seminal ideas that form the precursors of OR, the Timeline traces the key ideas and events of OR through 2004. The Timeline should interest anyone involved in OR - researchers, practitioners, academics, and, especially, students - who wish to learn how OR came into being. Further, the scope and expository style of the Timeline should make it of value to the general reader interested in the development of science and technology in the last half of the twentieth century.
Author : Frederike Neise
Publisher : Springer Science & Business Media
ISBN 13 : 3834895369
Total Pages : 107 pages
Book Rating : 4.8/5 (348 download)
Download or read book Risk Management in Stochastic Integer Programming written by Frederike Neise and published by Springer Science & Business Media. This book was released on 2008-09-25 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author presents two concepts to handle the classic linear mixed-integer two-stage stochastic optimization problem. She describes mean-risk modeling and stochastic programming with first order dominance constraints. Both approaches are applied to optimize the operation of a dispersed generation system.
Author : Michel Goemans
Publisher : Springer
ISBN 13 : 3642366945
Total Pages : 409 pages
Book Rating : 4.6/5 (423 download)
Download or read book Integer Programming and Combinatorial Optimization written by Michel Goemans and published by Springer. This book was released on 2013-03-12 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 16th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2013, held in Valparaíso, Chile, in March 2013. The 33 full papers presented were carefully reviewed and selected from 98 submissions. The conference is a forum for researchers and practitioners working on various aspects of integer programming and combinatorial optimization with the aim to present recent developments in theory, computation, and applications. The scope of IPCO is viewed in a broad sense, to include algorithmic and structural results in integer programming and combinatorial optimization as well as revealing computational studies and novel applications of discrete optimization to practical problems.
Author : Krannert Graduate School of Industrial Administration. Institute for Research in the Behavioral, Economic, and Management Sciences
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.0/5 ( download)
Download or read book Paper written by Krannert Graduate School of Industrial Administration. Institute for Research in the Behavioral, Economic, and Management Sciences and published by . This book was released on 1973 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mikhail J. Atallah
Publisher : CRC Press
ISBN 13 : 9781420049503
Total Pages : 1328 pages
Book Rating : 4.0/5 (495 download)
Download or read book Algorithms and Theory of Computation Handbook written by Mikhail J. Atallah and published by CRC Press. This book was released on 1998-11-23 with total page 1328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms and Theory of Computation Handbook is a comprehensive collection of algorithms and data structures that also covers many theoretical issues. It offers a balanced perspective that reflects the needs of practitioners, including emphasis on applications within discussions on theoretical issues. Chapters include information on finite precision issues as well as discussion of specific algorithms where algorithmic techniques are of special importance, including graph drawing, robotics, forming a VLSI chip, vision and image processing, data compression, and cryptography. The book also presents some advanced topics in combinatorial optimization and parallel/distributed computing. • applications areas where algorithms and data structuring techniques are of special importance • graph drawing • robot algorithms • VLSI layout • vision and image processing algorithms • scheduling • electronic cash • data compression • dynamic graph algorithms • on-line algorithms • multidimensional data structures • cryptography • advanced topics in combinatorial optimization and parallel/distributed computing
Author : James A. Craft
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.3/5 (91 download)
Download or read book Professionalism, Unionism, and Collective Negotiation written by James A. Craft and published by . This book was released on 1970 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephan Tiedemann
Publisher : Cuvillier Verlag
ISBN 13 : 3865373666
Total Pages : 125 pages
Book Rating : 4.8/5 (653 download)
Download or read book Risk Measures with Preselected Tolerance Levels in Two-stage Stochastic Mixed-integer Programming written by Stephan Tiedemann and published by Cuvillier Verlag. This book was released on 2005 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ezra Miller
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886953
Total Pages : 710 pages
Book Rating : 4.8/5 (869 download)
Download or read book Geometric Combinatorics written by Ezra Miller and published by American Mathematical Soc.. This book was released on with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. This text is a compilation of expository articles at the interface between combinatorics and geometry.
