Exponential sum approximations for t−βt^{-\beta}

Given $\beta>0$ and $\delta>0$, the function $t^{-\beta}$ may be approximated for $t$ in a compact interval $[\delta,T]$ by a sum of terms of the form $we^{-at}$, with parameters $w>0$ and $a>0$. One such an approximation, studied by Beylkin and Monz\'on, is obtained by applying the trapezoidal rule to an integral representation of $t^{-\beta}$, after which Prony's method is applied to reduce the number of terms in the sum with essentially no loss of accuracy. We review this method, and then describe a similar approach based on an alternative integral representation. The main difference is that the new approach achieves much better results before the application of Prony's method; after applying Prony's method the performance of both is much the same.Comment: 18 pages, 5 figures. I have completely rewritten this paper because after uploading the previous version I realised that there is a much better approach. Note the change to the title. Have included minor corrections following revie

Early medical abortion in Cairns, Queensland: July 2006 - April 2007

* Mifepristone (RU486), which is used for early medical abortion, can only be obtained in Australia under the Authorised Prescriber legislation (Section 19[5] of the Therapeutic Goods Act 1989 [Cwlth]); two of the authors have permission to obtain, prescribe and administer this drug in Cairns, Queensland. * From July 2006 to April 2007, 10 women who fulfilled the Therapeutic Goods Administration (TGA) criteria of “life-threatening or otherwise serious” indications underwent medical abortion with mifepristone/misoprostol, and 12 women conforming with abortion requirements of Queensland law, but not TGA legislation for mifepristone administration, had medical abortions with the less preferable methotrexate/misoprostol combination. * Although it is now more than a year since the cross-party vote in federal Parliament in February 2006 confirmed wide support for the right of Australian women to a medical abortion, we believe we are at present the only medical practitioners in Australia with permission to use mifepristone. * Obtaining Authorised Prescriber status from the TGA is of necessity a complex and protracted process, involving ethics committee approval and auditing, and regular reporting to the TGA. * Because of the current restrictions, we believe that women seeking medical abortion in Australia face barriers not experienced by women in other comparable countries, and that drug manufacturing and distributing companies may be discouraged from seeking to market mifepristone in Australia

A Comprehensive Economic Stimulus for our Failing Economy

This paper presents a comprehensive plan to fix the ailing American economy, through a five-step approach. First, the Federal Reserve must continue to broaden the scope of monetary policy, by purchasing and selling long-term securities. Manipulating expectations through FOMC statements is another tool at the Federal Reserve’s disposal. Secondly, the government must enact fiscal stimulus to stabilize the economy in the short and medium runs, through investment in infrastructure projects, green technology, fusion technology, and science education. Additionally, the new fiscal policy must tackle the mortgage meltdown, which is weighing down the entire economy. Third, the regulatory system must be changed to reduce the likelihood of another financial collapse, starting with the nationalization of the ratings agencies. Ratings should be updated faster, with a numeric grading system rather than the pre-existing letter grades. Fourth, our globalized economy insures that a coordinated globalized response is necessary to recover. Global cooperation to reduce inflation and avoid protectionist policies is vital. Finally, the American bailout policy must be made clear, only giving bailouts to companies that are sound but financially strapped and those that are too big to fail

An assessment of the torrefaction of North American pine and life cycle greenhouse gas emissions

Bioenergy is increasingly being used to meet EU objectives for renewable energy generation and reducing greenhouse gas (GHG) emissions. Problems with using biomass however include high moisture contents, lower calorific value and poor grindability when compared to fossil fuels. Torrefaction is a pre-treatment process that aims to address these issues. In this paper four torrefaction treatments of pine were performed and a mass-energy balance calculated. Using experimental data, a pellet production supply chain incorporating torrefaction was modelled and compared to an existing wood pellet system to determine life-cycle GHG emissions. Two utility fuels, wood chips and natural gas, were considered to provide process heat in addition to volatile gases released during torrefaction (torgas). Experimental results show that torrefaction reduces the moisture content and increases the calorific value of the fuels. Increasing torrefaction temperature and residence time results in lower mass and energy yields. GHG emissions reduce with increasing torrefaction severity. Emissions from drying &amp; torrefaction and shipping are the highest GHG contributors to the supply chain. All 4 torrefaction conditions assessed outperformed traditional wood pellet supply chain emissions but more land is required which increases with temperature and residence time. Sensitivity analysis results show that emissions increase significantly where natural gas is used for utility fuel and no torgas is utilised.</p

The ‘spirit of sport’, WADAs code review, and the search for an overlapping consensus

In this paper, we argue for the recognition that anti-doping is in itself first and foremost an ethical position. The current World Anti-doping Code formulation of ‘the spirit of sport’ is an acknowledgement of this point and a counterweight against scientific and technicist understandings of the nature of anti-doping itself. We critically review the Code formulations on ‘the spirit of sport’. Based on a theoretical background of various approaches to normative agreement and consensus in a setting of diversity of ‘comprehensive views’, we argue for revision of the Code. Specifically, we argue for a re-formulation of ‘the spirit of sport’ in terms of athlete protection and the preservation of the integrity of sporting competition that could meet requirements on an overlapping consensus among all WADA stakeholders. This is not just a matter of formality and Code acceptance. An overlapping consensus is not a mere modus vivendi but a normative consensus based on fair, honest, and transparent discourse in which participants deliberate in a setting of mutual respect and trust, and of ‘decency’, which is a basis for a consensus that cultivates authentic stakeholder commitment

Beings in their own right? Exploring Children and young people's sibling and twin relationships in the Minority World

This paper examines the contributions that the sociological study of sibship and twinship in the Minority World can make to childhood studies. It argues that, in providing one forum within which to explore children and young people's social relationships, we can add to our understanding of children and young people's interdependence and develop a more nuanced understanding of agency. As emergent subjects, children, young people and adults are in a process of ‘becoming’. However, this does not mean that they can ‘become’ anything they choose to. The notion of negotiated interdependence (Punch 2002) is useful in helping us to grasp the contingent nature of children and young people's agency

Tri-meson-mixing of π\pi-η\eta-η′\eta' and ρ\rho-ω\omega-ϕ\phi in the light-cone quark model

The radiative transition form factors of the pseudoscalar mesons {$\pi$, $\eta$, $\eta'$} and the vector mesons {$\rho$, $\omega$, $\phi$} are restudied with $\pi$-$\eta$-$\eta'$ and $\rho$-$\omega$-$\phi$ in tri-meson-mixing pattern, which is described by tri-mixing matrices in the light-cone constituent quark model. The experimental transition decay widths are better reproduced with tri-meson-mixing than previous results in a two-mixing-angle scenario of only two-meson $\eta$-$\eta'$ mixing and $\omega$-$\phi$ mixing.Comment: 8 pages, 6 figures, final version to appear in EPJ

Does oral sodium bicarbonate therapy improve function and quality of life in older patients with chronic kidney disease and low-grade acidosis (the BiCARB trial)? Study protocol for a randomized controlled trial

Date of acceptance: 01/07/2015 © 2015 Witham et al. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated. Acknowledgements UK NIHR HTA grant 10/71/01. We acknowledge the financial support of NHS Research Scotland in conducting this trial.Peer reviewedPublisher PD