4,011 research outputs found

    Three-dimensional unstructured grid generation via incremental insertion and local optimization

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    Algorithms for the generation of 3D unstructured surface and volume grids are discussed. These algorithms are based on incremental insertion and local optimization. The present algorithms are very general and permit local grid optimization based on various measures of grid quality. This is very important; unlike the 2D Delaunay triangulation, the 3D Delaunay triangulation appears not to have a lexicographic characterization of angularity. (The Delaunay triangulation is known to minimize that maximum containment sphere, but unfortunately this is not true lexicographically). Consequently, Delaunay triangulations in three-space can result in poorly shaped tetrahedral elements. Using the present algorithms, 3D meshes can be constructed which optimize a certain angle measure, albeit locally. We also discuss the combinatorial aspects of the algorithm as well as implementational details

    Growth to early adulthood following extremely preterm birth: the EPICure study.

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    OBJECTIVE: To investigate growth trajectories from age 2.5 to 19 years in individuals born before 26 weeks of gestation (extremely preterm; EP) compared with term-born controls. METHODS: Multilevel modelling of growth data from the EPICure study, a prospective 1995 birth cohort of 315 EP participants born in the UK and Ireland and 160 term-born controls recruited at school age. Height, weight, head circumference and body mass index (BMI) z-scores were derived from UK standards at ages 2.5, 6, 11 and 19 years. RESULTS: 129 (42%) EP children were assessed at 19 years. EP individuals were on average 4.0 cm shorter and 6.8 kg lighter with a 1.5 cm smaller head circumference relative to controls at 19 years. Relative to controls, EP participants grew faster in weight by 0.06 SD per year (95% CI 0.05 to 0.07), in head circumference by 0.04 SD (95% CI 0.03 to 0.05), but with no catch-up in height. For the EP group, because of weight catch-up between 6 and 19 years, BMI was significantly elevated at 19 years to +0.32 SD; 23.4% had BMI >25 kg/m2 and 6.3% >30 kg/m2 but these proportions were similar to those in control subjects. EP and control participants showed similar pubertal development in early adolescence, which was not associated with height at 19 years in either study group. Growth through childhood was related to birth characteristics and to neonatal feeding practices. CONCLUSIONS: EP participants remained shorter and lighter and had smaller head circumferences than reference data or controls in adulthood but had elevated BMI

    Inversion of Gamow's Formula and Inverse Scattering

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    We present a pedagogical description of the inversion of Gamow's tunnelling formula and we compare it with the corresponding classical problem. We also discuss the issue of uniqueness in the solution and the result is compared with that obtained by the method of Gel'fand and Levitan. We hope that the article will be a valuable source to students who have studied classical mechanics and have some familiarity with quantum mechanics.Comment: LaTeX, 6 figurs in eps format. New abstract; notation in last equation has been correcte

    Synthesis of bulk, dense, nanocrystalline yttrium aluminum garnet from amorphous powders

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    Amorphous powders of Al2O3x2014;37.5 mol% Y2O3 (yttrium aluminum garnet (YAG)) were prepared by coprecipitation, decomposed at 800xB0;C, and hot-pressed uniaxally at low temperature (600xB0;C) and a moderate pressure (750 MPa). Optimum conditions yielded microstructures with only 2% porosity and partial crystallization of YAG. Further processing using high quasi-hydrostatic pressure (1 GPa) at 1000xB0;C enabled the production of fully crystallized YAG with gt;96% relative density and a nanocrystalline grain size of x223C;70 nm. 13

    Activity in deep intermediate layer collicular neurons during interrupted saccades

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    Abstract The activity of neurons located in the deep intermediate and adjacent deep layers (hereafter called just deep intermediate layer neurons) of the superior colliculus (SC) in monkeys was recorded during saccades interrupted by electrical stimulation of the brainstem omnipause neuron (OPN) region. The goal of the experiment was to determine if these neurons maintained their discharge during the saccadic interruption, and, thus, could potentially provide a memory trace for the intended movement which ends accurately on target in spite of the perturbation. The collicular neurons recorded in the present study were located in the rostral three-fifths of the colliculus. Most of these cells tended to show considerable presaccadic activity during a delayed saccade paradigm, and, therefore, probably overlap with the population of SC cells called buildup neurons or prelude bursters in previous studies. The effect of electrical stimulation in the OPN region (which interrupted ongoing saccades) on the discharge of these neurons was measured by computing the percentage reduction in a cell's activity compared to that present during non-interrupted saccades. During saccade interruption about 70% of deep intermediate layer neurons experienced a major reduction (30% or greater) in their activity, but discharge recovered quickly after the termination of the stimulation as the eyes resumed their movement to finish the saccade on the target. Therefore, the pattern of activity recorded in most of the deep intermediate layer neurons during interrupted saccades qualitatively resembled that previously reported for the saccade-related burst neurons which tend to be located more dorsally in the intermediate layer. In contrast, some of our cells (30%) showed little or no perturbation in their activity caused by the saccade interrupting stimulation. Because all the more dorsally located burst neurons and the majority of our deep intermediate layer neurons show a total or major suppression in their discharge during interrupted saccades, it seems unlikely that the colliculus by itself could maintain an accurate memory of the desired saccadic goal or the remaining dynamic motor error required to account for the accuracy of the resumed movement which occurs following the interruption. However, it remains possible that the smaller proportion of our neurons whose activity was not perturbed during interrupted movements could play a role in the mechanisms underlying saccade accuracy in the interrupted saccade paradigm. Interrupted saccades have longer durations than normal saccades to the same target. Therefore, we investigated whether the discharge of our deeper collicular cells was also necessarily prolonged during interrupted saccades, and, if so, how the prolongation compared to the prolongation of the saccade. Sixty percent of our sample neurons showed a prolongation in discharge that was approximately the same as the prolongation in saccade duration (difference <15 ms in magnitude). The observation that temporal discharge in our neurons was perturbed to roughly match saccadic temporal perturbation suggests that dynamic feedback about ongoing saccadic motion is provided to the colliculus, but does not necessarily imply that this structure is the site responsible for the computation of dynamic motor error

    Possible Signature of Low Scale Gravity in Ultra High Enegry Cosmic Rays

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    We show that the existence of low scale gravity at TeV scale could lead to a direct production of photons with energies above 10^22 eV due to annihilation of ultra high energy neutrinos on relic massive neutrinos of the galactic halo. Air showers initialized in the terrestrial atmosphere by these ultra energetic photons could be collected in near future by the new generation of cosmic ray experiments.Comment: 5 pages, 3 figure

    Neutrinos as Source of Ultra High Energy Cosmic Rays in Extra Dimensions

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    If the neutrinos are to be identified with the primary source of ultra-high energy cosmic rays(UHECR), their interaction on relic neutrinos is of great importance in understanding their long intergalactic journey. In theories with large compact dimensions, the exchange of a tower of massive spin-2 gravitons (Kaluza-Klein excitations) gives extra contribution to ννˉffˉ\nu\bar{\nu} \longrightarrow f\bar{f} and γγ\gamma\gamma processes along with the opening of a new channel for the neutrinos to annihilate with the relic cosmic neutrino background ννˉGkk\nu\bar{\nu} \longrightarrow G_{kk} to produce bulk gravitons in the extra dimensions. This will affect their attenuation. We compute the contribution of these Kaluza-Klein excitations to the above processes and find that for parameters of the theory constrained by supernova cooling, the contribution does indeed become the dominant contribution above s300\sqrt{s} \simeq 300 GeV.Comment: 16 pages Latex2e file including 4 postscript figures. Effect of brane fluctuation taken into accoun
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