991 resultados para Difference Equation


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The peace process in Northern Ireland has been hailed, variously, as the successful resolution to one of the world's most intractable conflicts, and as a failed attempt to reconcile the conflciting claims of the two main ethnonationalist communities. At both these points, and at every other point along the continuum, recognition is given to the centrality of education. This article looks at the role played by adult learning, and contrasts two fundamentally different apporaoches. In one, Enlightenment assumptions about the power of knowledge to dispel prejudice have run alongside attempts to create a world of shared values; in the other, a postmodern acceptance of different cultures has accompnaied a peace process that builds upon ethnic diistinctions. As with the Dayton Accord and with other peace agreements brokered with international assistance, the consociational model of governance has been chosen for Northern Ireland in order to create a political equilibrium between the unionists and nationalists. Such a political framework reverses the direction of previous integrationist educational policies in favour of a celebration of difference, an approach that is fraught with difficulties.

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This paper explores the school experiences of seven 11–14 year old disabled children, and focuses on their agency as they negotiated a complex, changing, and often challenging social world at school where “difference” was experienced in negative ways. The paper draws on ethnographic data from a wider three-year study that explores the influence of school experiences on both disabled and non-disabled children’s identity as they make the transition from primary to secondary school in regular New Zealand schools (although the focus of the present paper is only on the experiences of disabled children). The wider study considers how Maori (indigenous people of Aotearoa/New Zealand) and Pakeha (New Zealanders of NZ European descent) disabled children and their non- disabled matched peers (matched for age, gender and classroom) understand their personal identity, and how factors relating to transition (from primary to secondary school); culture; impairment (in the case of disabled children); social relationships; and school experience impact on children’s identities. Data on Maori children’s school experiences is currently being collected, and is not yet available for inclusion in this paper. On the basis of our observations in schools we will illustrate how disabled children felt and were made to feel different through an array of structural barriers such as separate provision for disabled students, and peer and teacher attitudes to diversity. However, we agree with Davis, Watson, Shakespeare and Corker’s (2003) interpretation that disabled children’s rights and participation at school are also under attack from a “deeper cultural division” (p. 205) in schools based on discourses of difference and normality. While disabled students in our study were trying to actively construct and shape their social and educational worlds, our data also show that teachers and peers have the capacity to either support or supplant these attempts to be part of the group of “all children”. We suggest that finding solutions that support disabled children’s full inclusion and participation at school requires a multi-faceted and systemic approach focused on a pedagogy for diverse learners, and on a consistent and explicitly inclusive policy framework centred on children’s rights.

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A flexible, mass-conservative numerical technique for solving the advection-dispersion equation for miscible contaminant transport is presented. The method combines features of puff transport models from air pollution studies with features from the random walk particle method used in water resources studies, providing a deterministic time-marching algorithm which is independent of the grid Peclet number and scales from one to higher dimensions simply. The concentration field is discretised into a number of particles, each of which is treated as a point release which advects and disperses over the time interval. The dispersed puff is itself discretised into a spatial distribution of particles whose masses can be pre-calculated. Concentration within the simulation domain is then calculated from the mass distribution as an average over some small volume. Comparison with analytical solutions for a one-dimensional fixed-duration concentration pulse and for two-dimensional transport in an axisymmetric flow field indicate that the algorithm performs well. For a given level of accuracy the new method has lower computation times than the random walk particle method.

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The chaotic profile of dust grain dynamics associated with dust-acoustic oscillations in a dusty plasma is considered. The collective behaviour of the dust plasma component is described via a multi-fluid model, comprising Boltzmann distributed electrons and ions, as well as an equation of continuity possessing a source term for the dust grains, the dust momentum and Poisson's equations. A Van der Pol–Mathieu-type nonlinear ordinary differential equation for the dust grain density dynamics is derived. The dynamical system is cast into an autonomous form by employing an averaging method. Critical stability boundaries for a particular trivial solution of the governing equation with varying parameters are specified. The equation is analysed to determine the resonance region, and finally numerically solved by using a fourth-order Runge–Kutta method. The presence of chaotic limit cycles is pointed out.

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Quartz crystal impedance analysis has been developed as a technique to assess whether room-temperature ionic liquids are Newtonian fluids and as a small-volume method for determining the values of their viscosity-density product, rho eta. Changes in the impedance spectrum of a 5-MHz fundamental frequency quartz crystal induced by a water-miscible room-temperature ionic liquid, 1-butyl-3-methylimidazolium. trifluoromethylsulfonate ([C(4)mim][OTf]), were measured. From coupled frequency shift and bandwidth changes as the concentration was varied from 0 to 100% ionic liquid, it was determined that this liquid provided a Newtonian response. A second water-immiscible ionic liquid, 1-butyl-3-methylimidazolium bis(trifluoromethanesulfonyl)imide [C(4)mim][NTf2], with concentration varied using methanol, was tested and also found to provide a Newtonian response. In both cases, the values of the square root of the viscosity-density product deduced from the small-volume quartz crystal technique were consistent with those measured using a viscometer and density meter. The third harmonic of the crystal was found to provide the closest agreement between the two measurement methods; the pure ionic liquids had the largest difference of similar to 10%. In addition, 18 pure ionic liquids were tested, and for 11 of these, good-quality frequency shift and bandwidth data were obtained; these 12 all had a Newtonian response. The frequency shift of the third harmonic was found to vary linearly with square root of viscosity-density product of the pure ionic liquids up to a value of root(rho eta) approximate to 18 kg m(-2) s(-1/2), but with a slope 10% smaller than that predicted by the Kanazawa and Gordon equation. It is envisaged that the quartz crystal technique could be used in a high-throughput microfluidic system for characterizing ionic liquids.