77 resultados para apollonian packings
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Let p be an odd prime. A family of (p - 1)-dimensional over-lattices yielding new record packings for several values of p in the interval [149... 3001] is presented. The result is obtained by modifying Craig's construction and considering conveniently chosen Z-submodules of Q(zeta), where zeta is a primitive pth root of unity. For p >= 59, it is shown that the center density of the (p - 1)-dimensional lattice in the new family is at least twice the center density of the (p - 1)-dimensional Craig lattice. (C) 2010 Elsevier B.V. All rights reserved.
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Let p be a prime, and let zeta(p) be a primitive p-th root of unity. The lattices in Craig's family are (p - 1)-dimensional and are geometrical representations of the integral Z[zeta(p)]-ideals < 1 - zeta(p)>(i), where i is a positive integer. This lattice construction technique is a powerful one. Indeed, in dimensions p - 1 where 149 <= p <= 3001, Craig's lattices are the densest packings known. Motivated by this, we construct (p - 1)(q - 1)-dimensional lattices from the integral Z[zeta(pq)]-ideals < 1 - zeta(p)>(i) < 1 - zeta(q)>(j), where p and q are distinct primes and i and fare positive integers. In terms of sphere-packing density, the new lattices and those in Craig's family have the same asymptotic behavior. In conclusion, Craig's family is greatly extended while preserving its sphere-packing properties.
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A fim de promover a conservação pós-colheita de frutas e hortaliças, as embalagens biodegradáveis à base de amido, pectinas, celulose e outros polímeros, revelam resultados variáveis a depender dos vegetais tratados. Assim, o presente trabalho teve como objetivo avaliar o efeito de biofilme à base de fécula de mandioca na conservação dos frutos de pimentão 'Magali R', armazenados à temperatura ambiente e sob refrigeração. Os frutos foram selecionados, lavados, desinfetados, revestidos com biofilme de fécula de mandioca nas concentrações de 3%, 4% e 5% e armazenados por até 20 dias a 24,5 ± 3 ºC e 60,5 ± 12% UR e a 10 ± 1 ºC e 90 ± 5% UR. Os efeitos dos tratamentos foram avaliados por meio da perda de massa, da firmeza do fruto e do teor de sólidos solúveis, em delineamento inteiramente casualizado, com três repetições e dois frutos por parcela, no esquema fatorial 4 x 6 x 2. Pelos resultados, verifica-se que o uso de biofilme de fécula de mandioca nas concentrações utilizadas não foi eficiente em retardar o metabolismo pós-colheita e prolongar a conservação de pimentões 'Magali R' refrigerados ou não; o uso de refrigeração a 10 ± 1 ºC e 90 ± 5% UR, sem associação com biofilme, foi eficiente em manter os pimentões Magali R com perda de massa inferior aos 15%, estabelecido como limite para a vida útil, por até 20 dias de armazenamento, enquanto em temperatura ambiente a vida útil foi de apenas por oito dias.
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O objetivo do presente trabalho foi determinar a embalagem e a temperatura adequadas para o armazenamento de sementes de carolina. As sementes foram armazenadas em sacos de papel e de plástico, mantidas em 0±2; 10±2; 20±2°C e 60 5% de umidade relativa do ar (UR) e em temperatura ambiente (23,4±3,3°C) e 68,7±9%UR. O teor de água, a germinação e o vigor foram determinados trimestralmente. Durante o armazenamento, o teor de água das sementes foi de aproximadamente 8,9%. A embalagem saco de plástico e a temperatura de 0°C são adequadas para o armazenamento das sementes de carolina.
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We have investigated some diamondoids encapsulation into single walled carbon nanotubes (with diameters ranging from1.0 up to 2.2 nm) using fully atomistic molecular dynamics simulations. Diamondoids are the smallest hydrogen-terminated nanosized diamond-like molecules. Diamondois have been investigated for a large class of applications, ranging from oil industry to pharmaceuticals. Molecular ordered phases were observed for the encapsulation of adamantane, diamantane, and dihydroxy diamantanes. Chiral ordered phases, such as; double, triple, 4- and 5-stranded helices were also observed for those diamondoids. Our results also indicate that the modification of diamondoids through chemical functionalization with hydroxyl groups can lead to an enhancement of the molecular packing inside the carbon nanotubes in comparison to non-functionalized molecules. For larger diamondoids (such as, adamantane tetramers), we have not observed long-range ordering, but only a tendency of incomplete helical structural formation. © 2012 Materials Research Society.
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Processing of the YMn2O5 powder is very challenging, since it decomposes to YMnO3 and Mn3O4 at temperatures close to 1180 °C, while samples consolidation commonly demands high temperatures. The main goal of this work is to investigate a possibility to prepare thick films of YMn2O5, since their deposition generally requires significantly lower temperatures. Multiferroic YMn 2O5 was synthesized by the hydrothermal method from Y(CH3COO)3·xH2O, Mn(CH 3COO)2·4H2O and KMnO4 precursors. XRD, FE-SEM and TEM analysis showed that the obtained powder was monophasic, with orthorhombic crystal structure and columnar particle shape with mean diameter and length of around 20 and 50 nm, respectively. The obtained powder was suspended in isopropyl alcohol with addition of appropriate binder and deflocculant. This suspension was used for electrophoretic deposition of YMn2O5 thick films under the high-voltage conditions and electric fields ranging from 250 to 2125 V/cm. The films obtained at 1000 V/cm and higher electric fields showed good adhesion, particle packing, homogeneity and very low porosity. It was shown that the deposition in extremely high electric fields (KC=2125 V/cm) can influence the crystal orientation of the films, resulting in formation of preferentially oriented films. © 2012 Elsevier Ltd and Techna Group S.r.l.
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Let m and n be integers greater than 1. Given lattices A and B of dimensions m and n, respectively, a technique for constructing a lattice from them of dimension m+n-1 is introduced. Furthermore, if A and B possess bases satisfying certain conditions, then a second technique yields a lattice of dimension m+n-2. The relevant parameters of the new lattices are given in terms of the respective parameters of A,B, and a lattice C isometric to a sublattice of A and B. Denser sphere packings than previously known ones in dimensions 52, 68, 84, 248, 520, and 4098 are obtained. © 2012 Elsevier Inc. All rights reserved.
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Known number theoretical constructions of the lattice E8 use the cyclotomic fields Q(ζ15), Q(ζ20), and Q(ζ24). In this work, an infinite family of Abelian number fields yielding rotated versions of the lattice E 8 is exhibited. © 2012 The Managing Editors.
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Pós-graduação em Filosofia - FFC
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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Pós-graduação em Estudos Literários - FCLAR