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This monograph deals with a general class of solution approaches in deterministic global optimization, namely the geometric branch-and-bound methods which are popular algorithms, for instance, in Lipschitzian optimization, d.c. programming, and interval analysis.It alsointroduces a new concept for the rate of convergence and analyzes several bounding operations reported in the literature, from the theoretical as well as from the empirical point of view. Furthermore, extensions of the prototype algorithm for multicriteria global optimization problems as well as mixed combinatorial...

This monograph deals with a general class of solution approaches in deterministic global optimization, namely the geometric branch-and-bound methods which are popular algorithms, for instance, in Lipschitzian optimization, d.c. programming, and interval analysis.It alsointroduces a new concept for the rate of convergence and analyzes several bounding operations reported in the literature, from the theoretical as well as from the empirical point of view. Furthermore, extensions of the prototype algorithm for multicriteria global optimization problems as well as mixed combinatorial...

Das Gymnasion zahlte zu den offentlichen Einrichtungen, uber die eine Stadt im griechisch-hellenistischen Kulturraum verfugen musste, um den Rang einer Polis beanspruchen zu konnen. Obwohl einzelne Gymnasien bereits seit archaischer Zeit in griechischen Stadten belegt sind, bildete sich das Gymnasion erst in hellenistischer Zeit als offentlich verwaltete und architektonisch gestaltete Anlage aus. Die Beitrage des vorliegenden Bandes thematisieren die ideellen und institutionellen Grundlagen und die Funktionen der Gymnasien sowie ihren Beitrag zur Hellenisierung. Dabei wird insbesondere die...

What happens when competing assertions of validity collide? This question stands at the center of 22 projects being undertaken in various fields as part of the interdisciplinary research project "Transcendence and Shared Meaning." Drawing on empirical examples, the contributions show how transcendence is founded or, alternatively, challenged.