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Ohne ZusammenfassungHerrnErich Kamke zum 70. Geburtstag am 18. August 1960 gewidmet  相似文献   

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Ohne ZusammenfassungHermann Josef Schuster in Freundschaft gewidmet  相似文献   

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Given semi-normsf andg on n and a real number >0. Then the successive minima off under the constraintg are defined by j : = inf {: there existj linear independent vectors inZ n withf andg}. The main theorem of this paper (Lagrange multiplier theorem) states that the successive minima of a certainnorm h on n (without constraints) coincide with the j 's up to bounded factors. Moreover, this norm is constructed explicitly. Using Minkowski's wellknown theorem on successive minima and our result certain inequalities on simultaneous Diophantine approximations are derived.  相似文献   

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The theory of the plastic potential may be based on the principle of maximum rate of dissipation work represented by inequality (1.2). The second fundamental theorem of Thermodynamics yields another inequality, (1.1). Since a consistent theory must include both inequalities, the origin of stress space cannot lie outside the yield locus.  相似文献   

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Ohne ZusammenfassungMitglied der Akademie  相似文献   

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Positive definite integral quadratic forms having no automorphism of determinant -1 are considered. We give sufficient conditions for a form to be of this kind, and we construct infinite families of indecomposable even unimodular forms which satisfy our conditions. By taking orthogonal sums, examples are obtained in all dimensions n0 (mod 8), n24. After E. Freitag this implies that the field of modular functions for Sp2n (), n as above, is not rational.  相似文献   

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