On spectral properties of the modified convolution operator

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Krein's strings whose spectral functions are of polynomial growth

In case Krein's strings with spectral functions of polynomial growth a necessary and su fficient condition for the Krein's correspondence to be continuous is given.

Shaping the future: applying therapy research to practice

In these challenging financial times the use of research as a basis for effective health and social care cannot be overstated. 'Shaping the Future', a joint Public Health Agency and University of Ulster workshop (27 January) takes a fresh look at research within the Allied Health Professions (AHPs) to improve the care and experiences of people across Northern Ireland.The AHPs provide a wide range of services including physiotherapy, occupational therapy, radiography, podiatry, speech and language therapy and orthoptics.The nature of their work enables AHPs to carry out research that can rapidly benefit patient care and experience. 'Shaping the Future' will look at priorities for new AHP research and consider how existing research can be more effectively shared and used in health and social care development, rather than perhaps being limited to the academic world.Speaking at the event, Professor Bernie Hannigan, Director of Health and Social Care Research and Development (HSC R&D), aDivision of the PHA, said: "A sound base of evidence from research is vital for effective health and social care practice. I welcome this study as an important resource that will help generate new evidence and highlight the potential for existing evidence to be applied in practice. The evidence base points to beneficial innovations that use the most up-to-date knowledge and keep the service user at the centre of care practices. At this event, health and social care policy makers, commissioners, academics and researchers will be able to consider how they can do and use research to ensure our AHP services deliver the best outcomes for patients and are sufficiently cost-effective to be sustained."A recent study funded by HSC R&D was carried out by the University of Ulster working closely with leading AHPs, key stakeholders and service users* from throughout Northern Irealnd. Presenting the results of this study at the 'Shaping the Future' event will help to identify ways to gather evidence and contribute to innovative projects and programmes.Professor Suzanne McDonough, of the Health and Rehabilitation Sciences Research Centre at the University of Ulster, said: "In our study we used the Delphi technique, which is a structured process using a series of questionnaires, to gather information and gain consensus from AHP groups, stakeholders and service users."The results identified seven major priority areas for research. These ranged from: the need for more practice evaluation particularly in the areas of mental health, cancer, obesity; diabetes; chronic disease management (especially stroke and brain injury); the role of AHPs in health promotion; service delivery issues such as access to services and waiting times. This study provides an important road map for AHP research priorities. It is the first step in the process of identifying what research still needs to be undertaken, what research already exists but needs to be translated, and some of the processes that need to be in place to ensure that research is an integral part of the day-to-day practice of AHPs and of service delivery."

What do older people with high support needs want and value from life? Involving older people in shaping 'A Better Life'

JRF has recently embarked on a major new programme: 'A Better Life', the central question of which is: 'How can we ensure a better life and better choices for older people who need high levels of support?' JRF now want to commission a project to work with older people with high support needs (current and future generations) and with JRF to ensure that older people with high support needs are at the heart throughout this programme.The deadline for receipt of full proposals is 12 noon on Tuesday 24 November 2009 for decision by 18 December.

Weighted Logratio Biplots, Correspondence Analysis and Spectral Maps

Starting with logratio biplots for compositional data, which are based on the principle of subcompositional coherence, and then adding weights, as in correspondence analysis, we rediscover Lewi's spectral map and many connections to analyses of two-way tables of non-negative data. Thanks to the weighting, the method also achieves the property of distributional equivalence

Evaluation of a linear spectral mixture model and vegetation indices (NDVI and EVI) in a study of schistosomiasis mansoni and Biomphalaria glabrata distribution in the state of Minas Gerais, Brazil

This paper analyses the associations between Normalized Difference Vegetation Index (NDVI) and Enhanced Vegetation Index (EVI) on the prevalence of schistosomiasis and the presence of Biomphalaria glabrata in the state of Minas Gerais (MG), Brazil. Additionally, vegetation, soil and shade fraction images were created using a Linear Spectral Mixture Model (LSMM) from the blue, red and infrared channels of the Moderate Resolution Imaging Spectroradiometer spaceborne sensor and the relationship between these images and the prevalence of schistosomiasis and the presence of B. glabrata was analysed. First, we found a high correlation between the vegetation fraction image and EVI and second, a high correlation between soil fraction image and NDVI. The results also indicate that there was a positive correlation between prevalence and the vegetation fraction image (July 2002), a negative correlation between prevalence and the soil fraction image (July 2002) and a positive correlation between B. glabrata and the shade fraction image (July 2002). This paper demonstrates that the LSMM variables can be used as a substitute for the standard vegetation indices (EVI and NDVI) to determine and delimit risk areas for B. glabrata and schistosomiasis in MG, which can be used to improve the allocation of resources for disease control.

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Although it has long been known that genetic factors play a major role in shaping the electroencephalogram (EEG), progress on identifying the underlying genes has, until recently, been limited. Using quantitative trait loci (QTL) analyses several genomic loci affecting the sleep EEG could be mapped in the mouse. For three of these QTLs the responsible genes were identified leading to the implication of novel signaling pathways affecting EEG traits. Moreover, the insight that in the mouse the sleep-wake dependent dynamics in the expression of EEG slow waves during sleep is under strong genetic control has paved the way for candidate gene studies in humans investigating the contribution of specific polymorphism to the trait-like inter-individual differences in the susceptibility to sleep loss. Candidate gene studies in the mouse were also instrumental in establishing an alternative, noncircadian function for clock genes in the homeostatic regulation of sleep and modulating rhythmic EEG activity of thalamocortical origin. Future efforts should combine system genetics approaches in the mouse and genome-wide association studies in humans to facilitate uncovering the molecular pathways that shape brain activity.

On spectral approximation, Folner sequences and crossed products

In this article we review first some of the possibilities in which the notions of Fo lner sequences and quasidiagonality have been applied to spectral approximation problems. We construct then a canonical Fo lner sequence for the crossed product of a concrete C* -algebra and a discrete amenable group. We apply our results to the rotation algebra (which contains interesting operators like almost Mathieu operators or periodic magnetic Schrödinger operators on graphs) and the C* -algebra generated by bounded Jacobi operators.

Parametrization of spectral surfaces of a class of periodic 5-diagonal matrices

The main result of this work is a parametric description of the spectral surfaces of a class of periodic 5-diagonal matrices, related to the strong moment problem. This class is a self-adjoint twin of the class of CMV matrices. Jointly they form the simplest possible classes of 5-diagonal matrices.

Impedance boundary conditions for pseudo-spectral time-domain methods in room acoustics

The pseudo-spectral time-domain (PSTD) method is an alternative time-marching method to classicalleapfrog finite difference schemes in the simulation of wave-like propagating phenomena. It is basedon the fundamentals of the Fourier transform to compute the spatial derivatives of hyperbolic differential equations. Therefore, it results in an isotropic operator that can be implemented in an efficient way for room acoustics simulations. However, one of the first issues to be solved consists on modeling wallabsorption. Unfortunately, there are no references in the technical literature concerning to that problem. In this paper, assuming real and constant locally reacting impedances, several proposals to overcome this problem are presented, validated and compared to analytical solutions in different scenarios.

Impedance boundary conditions for pseudo-spectral time-domain methods in room acoustics

The Pseudo-Spectral Time Domain (PSTD) method is an alternative time-marching method to classical leapfrog finite difference schemes inthe simulation of wave-like propagating phenomena. It is based on the fundamentals of the Fourier transform to compute the spatial derivativesof hyperbolic differential equations. Therefore, it results in an isotropic operator that can be implemented in an efficient way for room acousticssimulations. However, one of the first issues to be solved consists on modeling wall absorption. Unfortunately, there are no references in thetechnical literature concerning to that problem. In this paper, assuming real and constant locally reacting impedances, several proposals toovercome this problem are presented, validated and compared to analytical solutions in different scenarios.

Interplay of spectral efficiency, power and doppler spectrum for reference-signal-assisted wireless communication

Expressions relating spectral efficiency, power, and Doppler spectrum, are derived for Rayleigh-faded wireless channels with Gaussian signal transmission. No side information on the state of the channel is assumed at the receiver. Rather, periodic reference signals are postulated in accordance with the functioning of most wireless systems. The analysis relies on a well-established lower bound, generally tight and asymptotically exact at low SNR. In contrast with most previous studies, which relied on block-fading channel models, a continuous-fading model is adopted. This embeds the Doppler spectrum directly in the derived expressions, imbuing them with practical significance. Closed-form relationships are obtained for the popular Clarke-Jakes spectrum and informative expansions, valid for arbitrary spectra, are found for the low- and high-power regimes. While the paper focuses on scalar channels, the extension to multiantenna settings is also discussed.