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However, his papers include also pioneering work in applied mathematics and mathematical physics.This edition of his collected papers will consist of two volumes.
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Bertrand Russell At any particular stage in the development of humanity knowledge comes up against... Læs mere
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This volume is the second in a series on the role of fuzzy paradigm and fuzzy rationality within the theory of knowledge. This one is devoted to unified epistemic models and theories of decision-choice under total uncertainties.
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The action which follows upon an opinion depends as much upon the amount of confidence in that opinion as it does upon fav- ableness of the opinion itself.
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"Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory.
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Finite model theory is an area of mathematical logic that grew out of computer science applications. The birth of finite model theory is often identified with Trakhtenbrot's result from 1950 stating that validity over finite models is not recursively enumerable;
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Absolute values and their completions -like the p-adic number fields- play an important role in number theory. The last chapter presents three applications of the general theory -for... Læs mere
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Of paramount significance in the applications of this method have been the properties of covers relating to the character of their elements (open covers, closed covers), the mutual dispo sition of these elements (star finite, point finite, locally finite covers, etc.
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Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem.
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Lectures: G.E. Sacks: Model theory and applications.- H.J. Keisler: Constructions in model theory.- Seminars: M. Servi: SH formulas and generalized exponential.- J.A. Makowski: Topological model theory.
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Die effiziente Ausnutzung dieser parallelen Rechenleistung ist jedoch nur durch den Einsatz paralleler Programmiertechniken möglich, die sich damit in alle Bereiche der... Læs mere
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Der zweite Teil des Buches macht die Fülle der Ideen sichtbar, die Hilbert und seine Schüler im Rahmen der... Læs mere