Disjunctive Programming

Disjunctive Programming PDF Author: Egon Balas
Publisher: Springer
ISBN: 3030001482
Category : Mathematics
Languages : en
Pages : 238

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Book Description
Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business.

Disjunctive Programming

Disjunctive Programming PDF Author: Egon Balas
Publisher: Springer
ISBN: 3030001482
Category : Mathematics
Languages : en
Pages : 238

Get Book Here

Book Description
Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business.

Primates and Philosophers

Primates and Philosophers PDF Author: Frans de Waal
Publisher: Princeton University Press
ISBN: 1400830338
Category : Science
Languages : en
Pages : 230

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Book Description
Can virtuous behavior be explained by nature, and not by human rational choice? "It's the animal in us," we often hear when we've been bad. But why not when we're good? Primates and Philosophers tackles this question by exploring the biological foundations of one of humanity's most valued traits: morality. In this provocative book, renowned primatologist Frans de Waal argues that modern-day evolutionary biology takes far too dim a view of the natural world, emphasizing our "selfish" genes and reinforcing our habit of labeling ethical behavior as humane and the less civilized as animalistic. Seeking the origin of human morality not in evolution but in human culture, science insists that we are moral by choice, not by nature. Citing remarkable evidence based on his extensive research of primate behavior, de Waal attacks "Veneer Theory," which posits morality as a thin overlay on an otherwise nasty nature. He explains how we evolved from a long line of animals that care for the weak and build cooperation with reciprocal transactions. Drawing on Darwin, recent scientific advances, and his extensive research of primate behavior, de Waal demonstrates a strong continuity between human and animal behavior. He probes issues such as anthropomorphism and human responsibilities toward animals. His compelling account of how human morality evolved out of mammalian society will fascinate anyone who has ever wondered about the origins and reach of human goodness. Based on the Tanner Lectures de Waal delivered at Princeton University's Center for Human Values in 2004, Primates and Philosophers includes responses by the philosophers Peter Singer, Christine M. Korsgaard, and Philip Kitcher and the science writer Robert Wright. They press de Waal to clarify the differences between humans and other animals, yielding a lively debate that will fascinate all those who wonder about the origins and reach of human goodness.

Essays in Game Theory

Essays in Game Theory PDF Author: Nimrod Megiddo
Publisher: Springer Science & Business Media
ISBN: 1461226481
Category : Mathematics
Languages : en
Pages : 209

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Book Description
This volume presents a collection of papers on game theory dedicated to Michael Maschler. Through his dedication and contributions to game theory, Maschler has become an important figure particularly in the area of cooperative games. Game theory has since become an important subject in operations research, economics and management science. As befits such a volume, the main themes covered are cooperative games, coalitions, repeated games, and a cost allocation games. All the contributions are authoritative surveys of a particular topic, so together they will present an invaluable overview of the field to all those working on game theory problems.

The Statistical Theory of Linear Systems

The Statistical Theory of Linear Systems PDF Author: E. J. Hannan
Publisher: SIAM
ISBN: 1611972183
Category : Business & Economics
Languages : en
Pages : 418

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Book Description
Originally published: New York: Wiley, c1988.

Measuring Income Inequality

Measuring Income Inequality PDF Author: Fredrik Nygård
Publisher: Almqvist & Wiksell International
ISBN:
Category : Income distribution
Languages : en
Pages : 452

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Book Description


Waves and the Ear

Waves and the Ear PDF Author: Willem André Maria Van Bergeijk
Publisher: Garden City, N.Y. : Anchor Books
ISBN:
Category : Medical
Languages : en
Pages : 256

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Book Description


Functional Analysis

Functional Analysis PDF Author: R.E. Edwards
Publisher: Courier Corporation
ISBN: 0486145107
Category : Mathematics
Languages : en
Pages : 802

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Book Description
"The book contains an enormous amount of information — mathematical, bibliographical and historical — interwoven with some outstanding heuristic discussions." — Mathematical Reviews. In this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter. Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, in-depth discussions of vector spaces and topological vector spaces, the Hahn-Banach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixed-point theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the Krein-Milman theorem and its applications to commutative harmonic analysis. Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32-page bibliography supplies a rich source of references to the basic literature.

Fragments of Infinity

Fragments of Infinity PDF Author: Ivars Peterson
Publisher: Turner Publishing Company
ISBN: 0470341122
Category : Art
Languages : en
Pages : 447

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Book Description
A visual journey to the intersection of math and imagination, guided by an award-winning author Mathematics is right brain work, art left brain, right? Not so. This intriguing book shows how intertwined the disciplines are. Portraying the work of many contemporary artists in media from metals to glass to snow, Fragments of Infinity draws us into the mysteries of one-sided surfaces, four-dimensional spaces, self-similar structures, and other bizarre or seemingly impossible features of modern mathematics as they are given visible expression. Featuring more than 250 beautiful illustrations and photographs of artworks ranging from sculptures both massive and minute to elaborate geometric tapestries and mosaics of startling complexity, this is an enthralling exploration of abstract shapes, space, and time made tangible. Ivars Peterson (Washington, DC) is the mathematics writer and online editor of Science News and the author of The Jungles of Randomness (Wiley: 0-471-16449-6), as well as four previous trade books.

Random Fields on a Network

Random Fields on a Network PDF Author: Xavier Guyon
Publisher: Springer Science & Business Media
ISBN: 9780387944289
Category : Mathematics
Languages : en
Pages : 294

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Book Description
The theory of spatial models over lattices, or random fields as they are known, has developed significantly over recent years. This book provides a graduate-level introduction to the subject which assumes only a basic knowledge of probability and statistics, finite Markov chains, and the spectral theory of second-order processes. A particular strength of this book is its emphasis on examples - both to motivate the theory which is being developed, and to demonstrate the applications which range from statistical mechanics to image analysis and from statistics to stochastic algorithms.

Quadratic Forms in Random Variables

Quadratic Forms in Random Variables PDF Author: A.M. Mathai
Publisher: CRC Press
ISBN: 9780824786915
Category : Mathematics
Languages : en
Pages : 424

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Book Description
Textbook for a one-semester graduate course for students specializing in mathematical statistics or in multivariate analysis, or reference for theoretical as well as applied statisticians, confines its discussion to quadratic forms and second degree polynomials in real normal random vectors and matr