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Titlebook: Linear Programming Duality; An Introduction to O Achim Bachem,Walter Kern Textbook 1992 Springer-Verlag Berlin Heidelberg 1992 Algebra.Line

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nitive science.Mathematical formalisms included in the appen.In the chapters in Part I of this textbook the author introduces the fundamental ideas of artificial intelligence and computational intelligence. In Part II he explains key AI methods such as search, evolutionary computing, logic-based rea
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The FARKAS Lemma, wellknown as the FARKAS Lemma. We will state this theorem in a more precise form in this section. Moreover, we shall give several equivalent formulations of the FARKAS Lemma, which we derive from each other by introducing standard techniques in polyhedral theory. In particular, we will show that th
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Linear Programming Duality, to K., in order to have a short break there and solve our optimization problems from Chapter 4. Our main object however will be to show that linear programming essentially is an oriented matroid problem.
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,The Poset (,, ≼),s a poset. These two points of view are strongly related, of course, though the relationship is not as clear as one might expect at the first glance. For example, if a set of sign vectors is given and we are to decide whether this is an OM, then we may simply check the axioms in order to find out th
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