50 research outputs found
Molecular identification of similar species of the genus Biomphalaria (Mollusca: Planorbidae) determined by a polymerase chain reaction-restriction fragment length polymorphism
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Novel microstructure quantification framework for databasing, visualization, and analysis of microstructure data
Full text linkEntropic, electrostatic, and interfacial regimes in concentrated disordered ionic emulsions
Full text linkMethods from the Theory of Random Heterogeneous Media for Quantifying Myocardial Morphology in Normal and Dilated Hearts
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New Upper Bounds for the Density of Translative Packings of Three-Dimensional Convex Bodies with Tetrahedral Symmetry
No full textIn this paper we determine new upper bounds for the maximal density of
translative packings of superballs in three dimensions (unit balls for the
-norm) and of Platonic and Archimedean solids having tetrahedral
symmetry. Thereby, we improve Zong's recent upper bound for the maximal density
of translative packings of regular tetrahedra from to
, getting closer to the best known lower bound of
We apply the linear programming bound of Cohn and Elkies which originally was
designed for the classical problem of densest packings of round spheres. The
proofs of our new upper bounds are computational and rigorous. Our main
technical contribution is the use of invariant theory of pseudo-reflection
groups in polynomial optimization.Comment: 30 pages, 6 tables, 3 figures, (v3) comments of referees incorporate
Perfil de diagnĂłsticos de enfermagem em pessoas com diabetes segundo modelo conceitual de Orem
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