891 resultados para Tensor product of Hilbert spaces


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The play operator has a fundamental importance in the theory of hysteresis. It was studied in various settings as shown by P. Krejci and Ph. Laurencot in 2002. In that work it was considered the Young integral in the frame of Hilbert spaces. Here we study the play in the frame of the regulated functions (that is: the ones having only discontinuities of the first kind) on a general time scale T (that is: with T being a nonempty closed set of real numbers) with values in a Banach space. We will be showing that the dual space in this case will be defined as the space of operators of bounded semivariation if we consider as the bilinearity pairing the Cauchy-Stieltjes integral on time scales.

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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The conditionals (K-ps) and thermodynamics (K-ps(o)) solubility products of mercurous acetate have been determined, in aqueous solution, at 25 degrees C and ionic strength (I) comprised between 0.300 and 3.000 mol/L (NaClO4). The investigation was carried out potentiometrically by using a second class electrodes which responds to acetate ions. The values obtained for [pK(ps) (I)] were: 9.49+/-0.08 (0.000); 9.51+/-0.08 (0.300); 9.53+/-0.08 (0.500); 9.54+/-0.08 (0.700); 9.55+/-0.09 (0.900), 9.57+/-0.09 (1.200); 9.59+/-0.10(1.500); 9.61+/-0.10 (1.800); 9.63+/-0.10 (2.100); 9.65+/-0.11 (2.400); 9.67+/-0.11 (2.700) e 9.69+/-0.12 (3.000).

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We show that the Hardy space H¹ anal (R2+ x R2+) can be identified with the class of functions f such that f and all its double and partial Hubert transforms Hk f belong to L¹ (R2). A basic tool used in the proof is the bisubharmonicity of |F|q, where F is a vector field that satisfies a generalized conjugate system of Cauchy-Riemann type.

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The purpose of this study is to characterize the corrosion product on the surface of silver, employing H2SO4 (0.5M) as electrolyte. The electrochemical parameters, Ecor, Icor, V cor and Rp were obtained after analyzing the potentiodynamic polarization curve in which two peaks were observed. The smallest (passive region) is attributed to the Cl- traces from the reference electrode, with micro-cracks. The second peak (in the transpassivation region) corresponds to the polarization curve of silver in H2SO 4 without contaminants. SEM images and EDS analysis reveal images of a surface layer on silver, consisting of structures containing sulfur, oxygen, silver and chloride, as the corrosion product. On this layer silver sulfate crystals were observed, which occurs during the formation of silver chloride nanocrystals with different morphologies, when chloride ions were added to the electrolyte medium. ©The Electrochemical Society.

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Includes bibliography

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Pós-graduação em Física - IFT

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We consider a generalized discriminant associated to a symmetric space which generalizes the discriminant of real symmetric matrices, and note that it can be written as a sum of squares of real polynomials. A method to estimate the minimum number of squares required to represent the discrimininant is developed and applied in examples.

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On January 1 2008, Brazil included yet another element into its energy matrix: biodiesel. The predominant biodiesel production process involves a phase of transesterification that yields glycerol as a by-product. The use of this glycerol is limited since it is considered an unrefined raw material that must be refined for its various types of use. Several studies have addressed identification of possible uses for unrefined glycerol. Given the diversity of uses, an overview is necessary. The purpose of this work is to present alternatives currently being considered for the use of unrefined glycerol as a by-product of biodiesel production, aiming to contribute to the sustainable consolidation of the biofuel market. Exploratory research was carried out to identify these viable alternatives for the use of this by-product. The possibilities include the production of chemical products, fuel additives, production of hydrogen, development of fuel cells, ethanol or methanol production, animal feed, co-digestion and co-gasification, and waste treatment among others. The present research reveals that there are promising possibilities for the use of unrefined glycerol, which may help consolidate the sustainability of the biofuel market. (C) 2012 Elsevier Ltd. All rights reserved.

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Objective: To test the null hypothesis: Subjects with isolated complete unilateral cleft lip and palate (UCLP) show no differences in overall frequency of tooth agenesis (hypodontia), comparing a subsample with cleft-side maxillary lateral incisor (MxI2) agenesis to a subsample without cleftside MxI2 agenesis. Findings could clarify the origins of cleft-side MxI2 agenesis. Materials and Methods: Tooth agenesis was identified from dental radiographs of 141 subjects with UCLP. The UCLP cohort was segregated into four categories according to the status and location of MxI2 in the region of the unilateral cleft: group M: subjects with one tooth, located on the mesial side of the alveolar cleft; group D: subjects with one tooth, located on the distal side of the alveolar cleft; group MD: subjects with two teeth present, one mesial and one distal to the cleft; and group ABS: subjects with lateral incisor absent (agenesis) in the cleft area. Results: The null hypothesis was rejected. Among UCLP subjects, there was a twofold increase (P < .0008) in overall frequency of tooth agenesis outside the cleft region in a subsample with cleftside MxI2 agenesis (ABS), compared to a subsample presenting with no agenesis of the cleft-side MxI2 (M+D+MD). Conclusions: Cleft-side MxI2 agenesis in CLP subjects appears to be largely a genetically controlled anomaly associated with cleft development, rather than a collateral environmental consequence of the adjacent cleft defect, since increased hypodontia involving multiple missing teeth observed remote from a cleft clearly has a significant genetic basis. (Angle Orthod. 2012;82:959-963.)

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Isotibolone is frequently found as an impurity in tibolone, a drug used for hormone reposition of post-menopause women, due to some inadequate tibolone synthesis or as a result of degradation during drug storage. The presence of isotibolone impurities should be detected and quantified in active pharmaceutical ingredient products of tibolone before its use in the manufacturing of medicaments. The X-ray powder diffraction technique offers the possibility of quantifying isotibolone amounts at different stages of drug production and storage, from the chemical synthesis to the final formulation. In the course of a study involving the quantitative analysis of isotibolone by X-ray powder diffraction, the authors determined the structure of the title compound using a recently developed approach (A. Gomez and S. Kycia, J. Appl. Crystallogr. 2011, 44, 708-713). The structure is monoclinic, space group P2(1) (4), with unit cell parameters a = 6.80704(7) angstrom, b = 20.73858(18) angstrom, c = 6.44900(6) angstrom, beta = 76.4302(5)degrees, V = 884.980(15) angstrom(3) and two molecules per unit cell (Z = 2). The molecules are hydrogen bonded in the ab plane forming layers that are held together in the crystal by van der Waals interactions along the c-axis.

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According to one’s personal biography, social background and the resultant degree of affectedness, a person has certain ideas about the meaning of, in our example, a World Heritage Site (WHS), what he or she can expect from it and what his or her relation to it can and should be. The handling of potentially different meaningful spaces is decisive, when it comes to the negotiation of pathways towards the sustainable development of a WHS region. Due to the fact that – in a pluralistic world – multiple realities exist, they have to be taken seriously and adequately addressed. In this article we identified the ways the Jungfrau-Aletsch- WHS was constructed by exploring the visual and verbal representations of the WHS during the decision-making process (1998-2001). The results demonstrate that in the visual representations (images), the WHS was to a large extent presented as an unspoiled natural environment similar to a touristy promotion brochure. Such a ‘picture-book’-like portrait has no direct link to the population’s daily needs, their questions and anxieties about the consequences of a WHS label. By contrast, the verbal representations (articles, letters-to-the-editor, comments) were dominated by issues concerning the economic development of the region, fears of disappropriation, and different views on nature. Whereas visual and verbal representations to a large extent differ significantly, their combination might have contributed to the final decision of the majority of people concerned to support the application for inscription of the Jungfrau-Aletsch-Bietschhorn region into the World Heritage list. The prominence of economic arguments and narratives about intergenerational responsibility in the verbal representations and their combination with the aesthetic appeal of the natural environment in the visual representations might have built a common meaningful space for one part of the population.

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Addressing life in borders and refugee camps requires understanding the way these spaces are ruled, the kinds of problems rule poses for the people who live there, and the abilities of inhabitants to remake their own lives. Recent literature on such spaces has been influenced by Agamben's notion of sovereignty, which reduces these spaces and their residents to abstractions. We propose an alternate framework focused on what we call aleatory sovereignty, or rule by chance. This allows us to see camps and borders not only as the outcomes of humanitarian projects but also of anxieties about governance and rule; to see their inhabitants not only as abject recipients of aid, but also as individuals who make decisions and choices in complex conditions; and to show that while the outcome of projects within such spaces is often unpredictable, the assumptions that undergird such projects create regular cycles of implementation and failure.