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Karl Heinrich Hofmann 《Mathematische Zeitschrift》1960,74(1):232-277
Ohne ZusammenfassungHerrnErich Kamke zum 70. Geburtstag am 18. August 1960 gewidmet 相似文献
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Heinz König 《Mathematische Annalen》1982,258(4):447-458
Ohne ZusammenfassungHermann Josef Schuster in Freundschaft gewidmet 相似文献
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Prof. Dr. W. Kratz 《Monatshefte für Mathematik》1981,91(4):275-289
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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Hans Ziegler 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1970,21(5):798-805
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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L. Rédei 《Acta Mathematica Hungarica》1960,11(3-4):217-222
Ohne ZusammenfassungMitglied der Akademie 相似文献
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Heinz-Georg Quebbemann 《manuscripta mathematica》1982,40(2-3):245-253
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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