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Geometric Algorithms and Combinatorial Optimization (Algorithms and Combinatorics 2)

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This book develops geometric techniques for proving the polynomial time solvability of problems in convexity theory, geometry, and - in particular - combinatorial optimization. It offers a unifying approach based on two fundamental geometric algorithms: - the ellipsoid method for finding a point in a convex set and - the basis reduction method for point lattices. The ellipsoid method was used by Khachiyan to show the polynomial time solvability of linear programming. The basis reduction method yields a polynomial time procedure for certain diophantine approximation problems. A combination of these techniques makes it possible to show the polynomial time solvability of many questions concerning poyhedra - for instance, of linear programming problems having possibly exponentially many inequalities. Utilizing results from polyhedral combinatorics, it provides short proofs of the poynomial time solvability of many combinatiorial optimization problems. For a number of these problems, the geometric algorithms discussed in this book are the only techniques known to derive polynomial time solvability. This book is a continuation and extension of previous research of the authors for which they received the Fulkerson Prize, awarded by the Mathematical Programming Society and the American Mathematical Society.

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Bayesian Biostatistics and Diagnostic Medicine
Bayesian Biostatistics and Diagnostic Medicine
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Building a Recommendation System with R
Building a Recommendation System with R

Learn the art of building robust and powerful recommendation engines using R

About This Book

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Have you heard? All the world’s a-twitter!

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Viral Pathogenesis and Immunity, Second Edition
Viral Pathogenesis and Immunity, Second Edition

Based on the highly successful reference work Viral Pathogenesis published in 1997, this concise, economical version can be used both as an introductory text or for self-education by medical students and biologists alike. This latest edition provides a completely revised overview of the subject with new chapters on innate immunity,...

Discovering Business Intelligence Using MicroStrategy 9
Discovering Business Intelligence Using MicroStrategy 9

The MicroStrategy platform can make your Business Intelligence (BI) activities so much more communicative and collaborative. With this book you'll learn the capabilities of the platform and how to use them to revolutionize your BI. Overview Understand the value proposition of MicroStrategy and their products portfolio Design and build BI...

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Data Analysis Using Regression and Multilevel/Hierarchical Models is a comprehensive manual for the applied researcher who wants to perform data analysis using linear and nonlinear regression and multilevel models. The book introduces a wide variety of models, whilst at the same time instructing the reader in how to fit these models using...

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