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Titlebook: European Congress of Mathematics; Budapest, July 22–26 A. Balog,G. O. H. Katona,D. Sza’sz Conference proceedings 1998 Springer Basel AG 199

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Surprising Geometric Phenomena in High-Dimensional Convexity Theory bodies, and analyze their unexpected asymptotic behavior as the dimension increases to infinity. The underlying methods use different mathematical tools and are useful in a variety of apparently unrelated mathematical areas.
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Microstructures, Phase Transitions and Geometryaximum or minimum permeability, … ). Some materials can change their internal microstructure and hence their properties in response to external influences. They are sometimes referred to as ‘smart materials’and are of great technological interest.
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Huygens’ Principle and Integrabilityut it was Jacques Hadamard [1], who was the first to propose in 1923 a rigorous mathematical definition of the phenomenon he called .. This is the meaning of the term “Huygens’ Principle” (or, in short, HP) we use in this paper.
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https://doi.org/10.1007/978-3-662-33064-7everal areas of mathematics and theoretical computer science. Here we concentrate on applications in discrepancy theory, in combinatorial geometry, in derandomization of geometric algorithms, and in geometric range searching. We believe that the tools described might be useful in other areas of mathematics too.
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