Titlebook: Boolean Methods in Operations Research and Related Areas; Peter L. Hammer,Sergiu Rudeanu Textbook 1968 Springer Science+Business Media New

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disciplined

0078-3390 certainly stimulate a great deal of additional research in both theory and application. RICHARD BELLMAN University of Southern California FOf(,WOl‘978-3-642-85825-3978-3-642-85823-9Series ISSN 0078-3390

GREEN

Prostaglandins

J. P. Daudey,J. P. Malrieu,O. RojasWe are going to present some typical problems leading either to the minimization of certain pseudo-Boolean functions, or to the solution of certain Boolean equations, in order to justify the abstract study of Boolean algebras, Boolean equations, pseudo-Boolean functions, etc. given in the first chapters of the book.

ACRID

Introduction to the Loge TheoryIn this chapter the basic definitions and properties of the Boolean algebra, of Boolean functions, of Boolean matrices and of the Boolean rings will be presented, in order to facilitate the understanding of Chapters II–VI, where the basic techniques used in this book will be developed.

Jogging

hauteur

Jaqueline Langlet,Jean-Paul Malrieu, that is equations of the form ., where . is a pseudo-Boolean function, have been studied by R. Fortet [1–3], P. Camion [2], and P. L. Hammer [3, 4]. These authors have suggested various methods for expressing the general solution in a parametric form.

CLAP

Archipelago

Comments on Excitons and LocalizationThe results of the preceding two chapters will now be used in order to solve ., that is problems of minimizing (maximizing) pseudo-Boolean functions with variables possibly subject to pseudo-Boolean constraints.

亂砍

Applications of Pair Density AnalysisAny nonlinear pseudo-Boolean program may be reduced to a linear one, if the linearization process of . (see § 7 of Chapter IV) is applied to the objective function as well as to the constraints.