11,133 research outputs found

    The monic integer transfinite diameter

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    We study the problem of finding nonconstant monic integer polynomials, normalized by their degree, with small supremum on an interval I. The monic integer transfinite diameter t_M(I) is defined as the infimum of all such supremums. We show that if I has length 1 then t_M(I) = 1/2. We make three general conjectures relating to the value of t_M(I) for intervals I of length less that 4. We also conjecture a value for t_M([0, b]) where 0 < b < 1. We give some partial results, as well as computational evidence, to support these conjectures. We define two functions that measure properties of the lengths of intervals I with t_M(I) on either side of t. Upper and lower bounds are given for these functions. We also consider the problem of determining t_M(I) when I is a Farey interval. We prove that a conjecture of Borwein, Pinner and Pritsker concerning this value is true for an infinite family of Farey intervals.Comment: 32 pages, 5 figure

    Research into learning and teaching in higher education: underground and undervalued?

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    Previous studies have drawn attention to the challenges faced by researchers undertaking research into learning and teaching in higher education. These challenges are particularly highlighted at times of national measurement of research excellence. It is against the context of the UK Research Excellence Framework (REF), that this paper presents findings from a recent survey of research into higher education in Scottish Higher Education Institutions. Discussion focuses on the underground and undervalued nature of some of this research. Researchers are often based within disciplines and their research is not always well known within wider higher education research discourse. Many academics face pressure to prioritise publishing within their main discipline over publishing research into higher education. There is also a lack of capacity within some Scottish institutions to return research into higher education within the forthcoming REF exercise. The wider implications of these findings are then examined

    Higher Education Research in Scotland: Report of a Survey Undertaken by Universities Scotland Educational Development Sub-Committee

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    The aim of this study was to gain an insight into a range of higher educational research taking place across Scotland with a particular focus on the nature, expertise, support and dissemination of this research. For the purposes of this study, we used the term ‘research into higher education’ to refer to a range of higher educational research activity that included: research into higher education policies and practice, pedagogical research, research into learning and teaching taking place in higher education and research about transition from further education or school into higher education. The findings point to the underground nature of pedagogic research taking place in Scotland. Many researchers are based within disciplines and their pedagogic research is disseminated in a variety of settings that do not always make it easily accessible within generic higher education research discourse. Pedagogic research is also apparently undervalued, with many academic staff experiencing pressure to prioritise publishing within their main discipline over and above pedagogic research. In addition there appears to be a lack of capacity within Scottish institutions to maximise the profile of higher educational research in the forthcoming UK Research Excellence Framework (REF) exercise

    Real-time antenna fault diagnosis experiments at DSS 13

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    Experimental results obtained when a previously described fault diagnosis system was run online in real time at the 34-m beam waveguide antenna at Deep Space Station (DSS) 13 are described. Experimental conditions and the quality of results are described. A neural network model and a maximum-likelihood Gaussian classifier are compared with and without a Markov component to model temporal context. At the rate of a state update every 6.4 seconds, over a period of roughly 1 hour, the neural-Markov system had zero errors (incorrect state estimates) while monitoring both faulty and normal operations. The overall results indicate that the neural-Markov combination is the most accurate model and has significant practical potential

    Separation of oxidatively damaged DNA Nucleobases and Nucleosides on Packed and Monolith C18 Columns by HPLC-UV-EC

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    This study involves the incorporation of a commercially available Phenomenex Onyx C18 monolith column into the separation and detection of oxidative DNA damage. It includes thorough investigation of monolith performance and a comparison of the performance of monolith columns with a commercially available packed Restek reverse phase Ultra C18 column for the separation of DNA bases and nucleosides. The performance of the monolith was examined using efficiency, resolution, plate height, asymmetry and retention times, and in each case showed improved or at least comparable results in the separation of a mix of DNA bases and nucleosides. A 90% reduction, from just under 40 min. to just under 4 min., was obtained in the elution time of this separation. To the best of our knowledge, this is the first report of a fast monolith column separation successfully coupled to both a UV-vis and EC detector, which is especially useful for analysis of oxidative DNA damage. The determination of 8-oxoG and 8-OH-dG, oxidation products of guanine and 2’-deoxyguanosine, respectively, may be compromised by their ease of oxidation and therefore the fast separation, selective and sensitive detection, with no artifactual oxidation, detailed in this report, is ideal

    Intrapersonal positive future thinking predicts repeat suicide attempts in hospital-treated suicide attempters

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    Objective: Although there is clear evidence that low levels of positive future thinking (anticipation of positive experiences in the future) and hopelessness are associated with suicide risk, the relationship between the content of positive future thinking and suicidal behavior has yet to be investigated. This is the first study to determine whether the positive future thinking–suicide attempt relationship varies as a function of the content of the thoughts and whether positive future thinking predicts suicide attempts over time. Method: A total of 388 patients hospitalized following a suicide attempt completed a range of clinical and psychological measures (depression, hopelessness, suicidal ideation, suicidal intent and positive future thinking). Fifteen months later, a nationally linked database was used to determine who had been hospitalized again after a suicide attempt. Results: During follow-up, 25.6% of linked participants were readmitted to hospital following a suicide attempt. In univariate logistic regression analyses, previous suicide attempts, suicidal ideation, hopelessness, and depression—as well as low levels of achievement, low levels of financial positive future thoughts, and high levels of intrapersonal (thoughts about the individual and no one else) positive future thoughts predicted repeat suicide attempts. However, only previous suicide attempts, suicidal ideation, and high levels of intrapersonal positive future thinking were significant predictors in multivariate analyses. Discussion: Positive future thinking has predictive utility over time; however, the content of the thinking affects the direction and strength of the positive future thinking–suicidal behavior relationship. Future research is required to understand the mechanisms that link high levels of intrapersonal positive future thinking to suicide risk and how intrapersonal thinking should be targeted in treatment interventions

    Applied constant gain amplification in circulating loop experiments

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    The reconfiguration of channel or wavelength routes in optically transparent mesh networks can lead to deviations in channel power that may impact transmission performance. A new experimental approach, applied constant gain, is used to maintain constant gain in a circulating loop enabling the study of gain error effects on long-haul transmission under reconfigured channel loading. Using this technique we examine a number of channel configurations and system tuning operations for both full-span dispersion-compensated and optimized dispersion-managed systems. For each system design, large power divergence was observed with a maximum of 15 dB at 2240 km, when switching was implemented without additional system tuning. For a bit error rate of 10-3, the maximum number of loop circulations was reduced by up to 33%

    Nickel(II)-catalysed oxidative guanine and DNA damage beyond 8-oxoguanine

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    Oxidative DNA damage is one of the most important and most studied mechanisms of disease. It has been associated with a range of terminal diseases such as cancer, heart disease, hepatitis, and HIV, as well as with a variety of everyday ailments. There are various mechanisms by which this type of DNA damage can be initiated, through radiation and chemical oxidation, among others; however, these mechanisms have yet to be fully elucidated. A HPLC-UV-EC study of the oxidation of DNA mediated by nickel(II) obtained results that show an erratic, almost oscillatory formation of 8-oxoguanine (8-oxoG) from free guanine and from guanine in DNA. Sporadic 8-oxoG concentrations were also observed when 8-oxoG alone was subjected to these conditions. A HPLC-MS/MS study showed the formation of oxidised-guanidinohydantoin (oxGH) from free guanine at pH 11, and the formation of guanidinohydantoin (GH) from DNA at pH 5.5
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