Montgomery's method of polynomial selection for the number field sieve

The number field sieve is the most efficient known algorithm for factoring large integers that are free of small prime factors. For the polynomial selection stage of the algorithm, Montgomery proposed a method of generating polynomials which relies on the construction of small modular geometric progressions. Montgomery's method is analysed in this paper and the existence of suitable geometric progressions is considered

Fast systematic encoding of multiplicity codes

We present quasi-linear time systematic encoding algorithms for multiplicity codes. The algorithms have their origins in the fast multivariate interpolation and evaluation algorithms of van der Hoeven and Schost (2013), which we generalise to address certain Hermite-type interpolation and evaluation problems. By providing fast encoding algorithms for multiplicity codes, we remove an obstruction on the road to the practical application of the private information retrieval protocol of Augot, Levy-dit-Vehel and Shikfa (2014)

Flight-test nacelles

Design modifications for acoustically absorbing flight test nacelles of DC-8 turbofan engin

Immersive virtual reality in the psychology classroom: What purpose could it serve?

This short article provides a brief overview of the most common forms of immersive virtual environments, highlighting some ways in which these have been used in other discipline areas, and ways in which they have been used in psychology research. In drawing these together it will be speculated how best to make use of this technology in psychology education, and a potential way forward will be argued for. In writing this article the purpose is not to provide a comprehensive account of the many different research areas that may contribute to adopting such a technology, but simply to provide the interested reader with a starting point and some suggestions for further reading. Overall, with developments oriented to other fields (e.g. medicine, home entertainment) and sparse research in this area, it is argued that to embrace the potentials of the technology we must first engage with where it might fit within our curriculums. The opportunity to provide practical demonstrations that may be otherwise unachievable in conventional environments seems most viable at this very early stage

Student polling software: where cognitive psychology meets educational practice?

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Determination and Occurrence of Phenoxyacetic Acid Herbicides and Their Transformation Products in Groundwater Using Ultra High Performance Liquid Chromatography Coupled to Tandem Mass Spectrometry

This research is funded by the National Development Plan, through the Research Stimulus Fund, administered by the Department of Agriculture, Food and Marine (RS-544) and the Teagasc Walsh Fellowship Scheme.peer-reviewedA sensitive method was developed and validated for ten phenoxyacetic acid herbicides, six of their main transformation products (TPs) and two benzonitrile TPs in groundwater. The parent compounds mecoprop, mecoprop-p, 2,4-D, dicamba, MCPA, triclopyr, fluroxypr, bromoxynil, bentazone, and 2,3,6-trichlorobenzoic acid (TBA) are included and a selection of their main TPs: phenoxyacetic acid (PAC), 2,4,5-trichloro-phenol (TCP), 4-chloro-2-methylphenol (4C2MP), 2,4-dichlorophenol (DCP), 3,5,6-trichloro-2-pyridinol (T2P), and 3,5-dibromo-4-hydroxybenzoic acid (BrAC), as well as the dichlobenil TPs 2,6-dichlorobenzamide (BAM) and 3,5-dichlorobenzoic acid (DBA) which have never before been determined in Irish groundwater. Water samples were analysed using an efficient ultra-high performance liquid chromatography (UHPLC) method in an 11.9 min separation time prior to detection by tandem mass spectrometry (MS/MS). The limit of detection (LOD) of the method ranged between 0.00008 and 0.0047 µg·L−1 for the 18 analytes. All compounds could be detected below the permitted limits of 0.1 µg·L−1 allowed in the European Union (EU) drinking water legislation [1]. The method was validated according to EU protocols laid out in SANCO/10232/2006 with recoveries ranging between 71% and 118% at the spiked concentration level of 0.06 µg·L−1. The method was successfully applied to 42 groundwater samples collected across several locations in Ireland in March 2012 to reveal that the TPs PAC and 4C2MP were detected just as often as their parent active ingredients (a.i.) in groundwater

Amine-terminated nanoparticle films: pattern deposition by a simple nanostencilling technique and stability studies under X-ray irradiation

Exploring the surface chemistry of nanopatterned amine-terminated nanoparticle films.</p

'Ade, ich far dahin': Zur Inszenierung und Semantisierung des Abschieds im Strassburger Eulenspiegelbuch

This article offers a close textual analysis of the Strassburger Eulenspiegelbuch, paying particular attention to the narrative motif of departures. As an outsider-figure par excellence Eulenspiegel is always travelling, always forced to leave one place and move on to the next. It will be shown here how certain very specific narrative techniques are developed in this text to describe these numerous moments of departure in ways which are both comically effective and thematically resonant