3,783 research outputs found

    Spectral methods for the wave equation in second-order form

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    Current spectral simulations of Einstein's equations require writing the equations in first-order form, potentially introducing instabilities and inefficiencies. We present a new penalty method for pseudo-spectral evolutions of second order in space wave equations. The penalties are constructed as functions of Legendre polynomials and are added to the equations of motion everywhere, not only on the boundaries. Using energy methods, we prove semi-discrete stability of the new method for the scalar wave equation in flat space and show how it can be applied to the scalar wave on a curved background. Numerical results demonstrating stability and convergence for multi-domain second-order scalar wave evolutions are also presented. This work provides a foundation for treating Einstein's equations directly in second-order form by spectral methods.Comment: 16 pages, 5 figure

    Introduction

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    Kinetics of substrate oxidation and hydrogen peroxide production by Mycoplasma mycoides subsp. mycoides Large Colony (LC) type and Mycoplasma mycoides subsp. capri

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    Mycoplasma mycoides subsp. mycoides Large Colony (LC) type is a pathogen of goats causing contagious agalactia and respiratory disease, found on all continents where small ruminants are kept. It shares close genetic characteristics with M. mycoides subsp. capri. Substrate oxidation by 22 strains of M. mycoides subsp. mycoides LC from nine countries was compared with that of eight strains of M. mycoides subsp. capri from five countries. There was considerable similarity in the substrates used, but substrate saturation coefficients (Ks) varied for different substrates. Substrate utilization patterns and Ks values did not (1) significantly differentiate the LC strains from each other, (2) show any correlation with geographical origin, or (3) distinguish the LC strains from the capri strains. These results support previous studies justifying the reclassification of these subspecies as a single species

    Optimum take-off angle in the standing long jump

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    The aim of this study was to identify and explain the optimum projection angle that maximises the distance achieved in a standing long jump. Five physically active males performed maximum-effort jumps over a wide range of take-off angles, and the jumps were recorded and analysed using a 2-D video analysis procedure. The total jump distance achieved was considered as the sum of three component distances (take-off, flight, and landing), and the dependence of each component distance on the take-off angle was systematically investigated. The flight distance was strongly affected by a decrease in the jumper’s take-off speed with increasing take-off angle, and the take-off distance and landing distance steadily decreased with increasing take-off angle due to changes in the jumper’s body configuration. The optimum take-off angle for the jumper was the angle at which the three component distances combined to produce the greatest jump distance. Although the calculated optimum take-off angles (19–27º) were lower than the jumpers’ preferred take-off angles (31–39º), the loss in jump distance through using a sub-optimum take-off angle was relatively small

    Suitability of hybrid gravitational waveforms for unequal-mass binaries

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    This article studies sufficient accuracy criteria of hybrid post-Newtonian (PN) and numerical relativity (NR) waveforms for parameter estimation of strong binary black-hole sources in second- generation ground-based gravitational-wave detectors. We investigate equal-mass non-spinning binaries with a new 33-orbit NR waveform, as well as unequal-mass binaries with mass ratios 2, 3, 4 and 6. For equal masses, the 33-orbit NR waveform allows us to recover previous results and to extend the analysis toward matching at lower frequencies. For unequal masses, the errors between different PN approximants increase with mass ratio. Thus, at 3.5PN, hybrids for higher-mass-ratio systems would require NR waveforms with many more gravitational-wave (GW) cycles to guarantee no adverse impact on parameter estimation. Furthermore, we investigate the potential improvement in hybrid waveforms that can be expected from 4th order post-Newtonian waveforms, and find that knowledge of this 4th post-Newtonian order would significantly improve the accuracy of hybrid waveforms.Comment: 11 pages, 14 figure

    Optimum take-off angle in the standing long jump

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    The aim of this study was to identify and explain the optimum projection angle that maximises the distance achieved in a standing long jump. Five physically active males performed maximum-effort jumps over a wide range of take-off angles, and the jumps were recorded and analysed using a 2-D video analysis procedure. The total jump distance achieved was considered as the sum of three component distances (take-off, flight, and landing), and the dependence of each component distance on the take-off angle was systematically investigated. The flight distance was strongly affected by a decrease in the jumper’s take-off speed with increasing take-off angle, and the take-off distance and landing distance steadily decreased with increasing take-off angle due to changes in the jumper’s body configuration. The optimum take-off angle for the jumper was the angle at which the three component distances combined to produce the greatest jump distance. Although the calculated optimum take-off angles (19–27º) were lower than the jumpers’ preferred take-off angles (31–39º), the loss in jump distance through using a sub-optimum take-off angle was relatively small

    Land Protection and Habitat Restoration as Catalysts for Sustained Community Engagement at the Roslindale Wetlands Urban Wild

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    The Roslindale Wetlands “Urban Wild,” a 10-acre forested wetland in the heart of Boston, Massachusetts, is the backdrop for a compelling story of land preservation and habitat restoration as primary drivers for sustained community engagement. Originally identified for residential development, this patchwork of City and private land was long neglected and degraded by incompatible adjacent development and illegal dumping. In 2005, the community group Roslindale Wetlands Task Force (RWTF) was formed to start the long, gradual process of cleaning up and advocating for full preservation of the site. However, between 2019 and 2023, an alignment of several strategic joint planning ventures between the RWTF, the City of Boston, and Mass Audubon accelerated efforts and culminated in a giant leap forward. By 2023, the majority of the site was permanently protected and was ecologically restored through a $1 million City capital renovation investment. These milestone achievements, in turn, have recharged long-term community organizing and site stewardship efforts and contributed to a wider embrace of this nature park by Bostonians

    Word upon World: Half a century of John Banville's Universes

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    There is a clear engagement with theories of time across Banville’s oeuvre, from his earliest published work through to the twenty-first-century novels. I explore how, in their engagement with age and ageing, Banville’s characters adopt and interrogate Albert Einstein’s and Henri Bergson’s competing ideas of the present and the passage of time, sliding from favouring the former to prioritising the latter. Martin Heidegger’s conception of Dasein, a Being-toward-death, allows me to explore how Banville’s characters evoke either Einstein’s spacetime and series of nows, or Bergson’s psychologised Duration (Durée). This is borne out in Gabriel Godkin’s subverted and anti-atavistic narrative in 'Birchwood' (1973), the battle over authenticity between Copernicus and Rheticus in 'Doctor Copernicus' (1976), and how Hermes controls the mortals’ time and tries his best to age in 'The Infinities' (2009). I conclude that Banville’s characters’ evolving preference for Bergsonian over Einsteinian tropes indicates an acceptance and happy engagement with the ageing process
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