991 resultados para Difference Equation


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The well-known shock solutions of the Korteweg-de Vries-Burgers equation are revisited, together with their limitations in the context of plasma (astro)physical applications. Although available in the literature for a long time, it seems to have been forgotten in recent papers that such shocks are monotonic and unique, for a given plasma configuration, and cannot show oscillatory or bell-shaped features. This uniqueness is contrasted to solitary wave solutions of the two parent equations (Korteweg-de Vries and Burgers), which form a family of curves parameterized by the excess velocity over the linear phase speed.

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Background: Mandatory fortification of grain products with folic acid was introduced recently in the United States, a policy expected to result in a mean additional intake of 100 mu g/d. One way of predicting the effectiveness of this measure is to determine the effect of removing a similar amount of folic acid as fortified food from the diets of young women who had been electively exposed to chronic fortification.

Objective: The objective was to examine the effect on folate status of foods fortified with low amounts of folic acid.

Design: We investigated the changes in dietary intakes and in red blood cell and serum concentrations of folate in response to removing folic acid-fortified foods for 12 wk from the diets of women who reportedly consumed such foods at least once weekly (consumers).

Results: Consumers (n = 21) had higher total folate intakes (P = 0.002) and red blood cell folate concentrations (P = 0.023) than nonconsumers (women who consumed folic acid-fortified foods less than once weekly; n = 30). Of greater interest, a 12-wk intervention involving the exclusion of these foods resulted in a decrease in folate intake of 78 +/- 56 mu g/d (P < 0.001), which was reflected in a significant reduction in red blood cell folate concentrations (P < 0.05).

Conclusions: Cessation of eating folic acid-fortified foods resulted in removing 78 mu g folic acid/d from the diet. Over 12 wk this resulted in a lowering of red blood cell folate concentrations by 111 nmol/L (49 mu g/L). This magnitude of change in folate status in women can be anticipated as a result of the new US fortification legislation and is predicted to have a significant, although not optimal, effect in preventing neural tube defects.

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We derive and employ a semiclassical Langevin equation obtained from path integrals to describe the ionic dynamics of a molecular junction in the presence of electrical current. The electronic environment serves as an effective nonequilibrium bath. The bath results in random forces describing Joule heating, current-induced forces including the nonconservative wind force, dissipative frictional forces, and an effective Lorentz-type force due to the Berry phase of the nonequilibrium electrons. Using a generic two-level molecular model, we highlight the importance of both current-induced forces and Joule heating for the stability of the system. We compare the impact of the different forces, and the wide-band approximation for the electronic structure on our result. We examine the current-induced instabilities (excitation of runaway "waterwheel" modes) and investigate the signature of these in the Raman signals.

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A report is presented on a split ring slot frequency selective surface (FSS) reflector whose element design and distribution allows generation of far-field difference patterns. The reflector operates by converting linearly polarised plane wave fronts into two orthogonal polarisations each with a deep null in the centre of the radiation pattern. The far-field measurement presented is in good agreement with the simulation and demonstrates a null depth of ?20dB in the centre of the radiation pattern.

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This paper assesses the impact of UK devolution on social housing policy in Northern Ireland from 1999 until 2011, with a particular focus on the administration from May 2007 until April 2011, the first in which the elected elements of the process functioned for the entire period. Housing is one of the responsibilities of the Minister for Social Development. Northern Ireland has had a political commitment to the provision of good quality social housing for many years, both before and after the 1998 Good Friday/ Belfast Agreement and the establishment of the Northern Ireland Assembly and Executive in 1999.
The paper begins with an analysis of factors contributing to policy difference within the United Kingdom under the 1999 devolution settlement, noting that these factors may contribute either to policy convergence or divergence between the four UK jurisdictions. There follow reflections on the concept of ‘policy ownership’ in multi-level states and the benefits of this analytical approach for consideration of housing policy under UK devolution. A review of social housing policy since 1999 is followed by discussion of three key issues from the 2007-11 administration: the governance of social housing; the procurement of new social housing; and improving access to shared space and a shared future. The paper concludes that, in Northern Ireland, the 2007-11 administration marked a transition between a technocratic past and the future policy ownership of the social housing policy field by locally elected politicians. Reflections on wider implications for UK social policy, for UK devolution, and for the complex governance structures of devolved and federal states are also included.

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Many-body effects are known to play a crucial role in the electronic and optical properties of solids and nanostructures. Nevertheless, the majority of theoretical and numerical approaches able to capture the influence of Coulomb correlations are restricted to the linear response regime. In this work, we introduce an approach based on a real-time solution of the electronic dynamics. The proposed approach reduces to the well-known Bethe-Salpeter equation in the linear limit regime and it makes it possible, at the same time, to investigate correlation effects in nonlinear phenomena. We show the flexibility and numerical stability of the proposed approach by calculating the dielectric constants and the effect of a strong pulse excitation in bulk h-BN.

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2013 marks 10 years since the Sexual Offences Act 2003 was passed. That Act made significant changes to the law of rape which appear now to have made very little difference to reporting, prosecution or conviction rates. This article argues that the Act has failed against its own measures because it remains enmeshed within a conceptual framework of sexual indifference in which woman continues to be constructed as man’s (defective) other. This construction both constricts the frame in which women’s sexuality can be thought and distorts the harm of rape for women. It also continues woman’s historic alienation from her own nature and denies her entitlement to a becoming in line with her own sexuate identity. Using Luce Irigaray’s critical and constructive frameworks, the article seeks to imagine how law might ‘cognize’ sexual difference and thus take the preliminary steps to a juridical environment in which women can more adequately understand and articulate the harm of rape.