Adding constrained discontinuities to Gaussian process models of wind fields

Gaussian Processes provide good prior models for spatial data, but can be too smooth. In many physical situations there are discontinuities along bounding surfaces, for example fronts in near-surface wind fields. We describe a modelling method for such a constrained discontinuity and demonstrate how to infer the model parameters in wind fields with MCMC sampling.

Modelling frontal discontinuities in wind fields

A Bayesian procedure for the retrieval of wind vectors over the ocean using satellite borne scatterometers requires realistic prior near-surface wind field models over the oceans. We have implemented carefully chosen vector Gaussian Process models; however in some cases these models are too smooth to reproduce real atmospheric features, such as fronts. At the scale of the scatterometer observations, fronts appear as discontinuities in wind direction. Due to the nature of the retrieval problem a simple discontinuity model is not feasible, and hence we have developed a constrained discontinuity vector Gaussian Process model which ensures realistic fronts. We describe the generative model and show how to compute the data likelihood given the model. We show the results of inference using the model with Markov Chain Monte Carlo methods on both synthetic and real data.

Adding constrained discontinuities to Gaussian process models of wind fields

Gaussian Processes provide good prior models for spatial data, but can be too smooth. In many physical situations there are discontinuities along bounding surfaces, for example fronts in near-surface wind fields. We describe a modelling method for such a constrained discontinuity and demonstrate how to infer the model parameters in wind fields with MCMC sampling.

Variations of local heat transfer coefficient in piped flow of viscous liquids

Measurements were carried out to determine local coefficients of heat transfer in short lengths of horizontal pipe, and in the region of an discontinuity in pipe diameter. Laminar, transitional and turbulent flow regimes were investigated, and mixtures of propylene glycol and water were used in the experiments to give a range of viscous fluids. Theoretical and empirical analyses were implemented to find how the fundamental mechanism of forced convection was modified by the secondary effects of free convection, temperature dependent viscosity, and viscous dissipation. From experiments with the short tube it was possible to determine simple empirical relationships describing the axial distribution of the local 1usselt number and its dependence on the Reynolds and Prandtl numbers. Small corrections were made to account for the secondary effects mentioned above. Two different entrance configurations were investigated to demonstrate how conditions upstream could influence the heat transfer coefficients measured downstream In experiments with a sudden contraction in pipe diameter the distribution of local 1u3se1t number depended on the Prandtl number of the fluid in a complicated way. Graphical data is presented describing this dependence for a range of fluids indicating how the local Nusselt number varied with the diameter-ratio. Ratios up to 3.34:1 were considered. With a sudden divergence in pipe diameter, it was possible to derive the axial distribution of the local Nusse1t number for a range of Reynolds and Prandtl numbers in a similar way to the convergence experiments. Difficulty was encountered in explaining some of the measurements obtained at low Reynolds numbers, and flow visualization techniques wore used to determine the complex flow patterns which could lead to the anomalous results mentioned. Tests were carried out with divergences up to 1:3.34 to find the way in which the local Nusselt number varied with the diameter ratio, and a few experiments were carried out with very large ratios up .to 14.4. A limited amount of theoretical analysis of the 'divergence' system was carried out to substantiate certain explanations of the heat transfer mechanisms postulated.

An investigation into formal and functional characteristics of qualifications in legislative writing and its application to English for academic legal purposes.

The present investigation is based on a linguistic analysis of the 'Housing Act 1980' and attempts to examine the role of qualifications in the structuring of the legislative statement. The introductory chapter isolates legislative writing as a "sub-variety “of legal language and provides an overview of the controversies surrounding the way it is written and the problems it poses to its readers. Chapter two emphasizes the limitations of the available work on the description of language-varieties for the analysis of legislative writing and outlines the approach adopted for the present analysis. This chapter also gives some idea of the information-structuring of legislative provisions and establishes qualification as a key element in their textualisation. The next three chapters offer a detailed account of the ten major qualification-types identified in the corpus, concentrating on the surface form they take, the features of legislative statements they textualize and the syntactic positions to which they are generally assigned in the statement of legislative provisions. The emerging hypotheses in these chapters have often been verified through a specialist reaction from a Parliamentary Counsel, largely responsible for the writing of the ‘Housing Act 1980’• The findings suggest useful correlations between a number of qualificational initiators and the various aspects of the legislative statement. They also reveal that many of these qualifications typically occur in those clause-medial syntactic positions which are sparingly used in other specialist discourse, thus creating syntactic discontinuity in the legislative sentence. Such syntactic discontinuities, on the evidence from psycholinguistic experiments reported in chapter six, create special problems in the processing and comprehension of legislative statements. The final chapter converts the main linguistic findings into a series of pedagogical generalizations, offers indications of how this may be applied in EALP situations and concludes with other considerations of possible applications.

Families 'at risk' and the family nurse partnership:the intrusion of risk into social exclusion policy

This article considers why the family nurse partnership (FNP) has been promoted as a means of tackling social exclusion in the UK. The FNP consists in a programme of visits by nurses to low-income first-time mothers, both while the mothers are pregnant and for the first two years following birth. The FNP is focused on both teaching parenthood and encouraging mothers back into education and/or into employment. Although the FNP marks a considerable discontinuity with previous approaches to family health, it is congruent with an emerging new approach to social exclusion. This new approach maintains that the most important task of social policy is to identify quickly the most 'at-risk' households, individuals and children so that interventions can be targeted more effectively at those 'at risk', either to themselves or to others. The article illustrates this new approach by analysing a succession of reports by the Social Exclusion Unit. It indicates that there is a considerable amount of ambiguity about the relationship between specific risk-factors and being 'at risk of social exclusion'. Nonetheless, this new approach helps to explain why British policy-makers may have chosen to promote the new FNP now. © 2009 Cambridge University Press.

Acoustic emission and yield in sand

An experimental investigation into the Acoustic Emission (AE) response of sand has been undertaken, and the use of AE as a method of yield point identification has been assessed. Dense, saturated samples of sand were tested in conventional triaxial apparatus. The measurements of stresses and strains were carried out according to current research practice. The AE monitoring system was integrated with the soil mechanics equipment in such a way that sample disturbance was minimised. During monotonically loaded, constant cell pressure tests the total number of events recorded was found to increase at an increasing rate in a manner which may be approximated by a power law. The AE response of the sand was found to be both stress level and stress path dependent. Undrained constant cell pressure tests showed that, unlike drained tests, the AE event rate increased at an increasing rate; this was shown to correlate with the mean effective stress variation. The stress path dependence was most noticeable in extension tests, where the number of events recorded was an order of magnitude less than that recorded in comparable compression tests. This stress path dependence was shown to be due to the differences in the work done by the external stresses. In constant cell pressure tests containing unload/reload cycles it was found that yield could be identified from a discontinuity in the event rate/time curve which occurred during reloading. Further tests involving complex stress paths showed that AE was a useful method of yield point identification. Some tests involving large stress reversals were carried out, and AE identified the inverse yield points more distinctly than conventional methods of yield point identification.

Structure and physical properties of [µ-Tris(1,4-bis(tetrazol-1-yl)butane-N4,N4‘')iron(II)] Bis(hexafluorophosphate), a new Fe(II) spin-crossover compound with a three-dimensional threefold interlocked crystal lattice

[μ-Tris(1,4-bis(tetrazol-1-yl)butane-N4,N4‘)iron(II)] bis(hexafluorophosphate), [Fe(btzb)3](PF6)2, crystallizes in a three-dimensional 3-fold interlocked structure featuring a sharp two-step spin-crossover behavior. The spin conversion takes place between 164 and 182 K showing a discontinuity at about T1/2 = 174 K and a hysteresis of about 4 K between T1/2 and the low-spin state. The spin transition has been independently followed by magnetic susceptibility measurements, 57Fe-Mössbauer spectroscopy, and variable temperature far and midrange FTIR spectroscopy. The title compound crystallizes in the trigonal space group P30¯(No. 147) with a unit cell content of one formula unit plus a small amount of disordered solvent. The lattice parameters were determined by X-ray diffraction at several temperatures between 100 and 300 K. Complete crystal structures were resolved for 9 of these temperatures between 100 (only low spin, LS) and 300 K (only high spin, HS), Z = 1 [Fe(btzb)3](PF  6)2:  300 K (HS), a = 11.258(6) Å, c = 8.948(6) Å, V = 982.2(10) Å3; 100 K (LS), a = 10.989(3) Å, c = 8.702(2) Å, V = 910.1(4) Å3. The molecular structure consists of octahedral coordinated iron(II) centers bridged by six N4,N4‘ coordinating bis(tetrazole) ligands to form three 3-dimensional networks. Each of these three networks is symmetry related and interpenetrates each other within a unit cell to form the interlocked structure. The Fe−N bond lengths change between 1.993(1) Å at 100 K in the LS state and 2.193(2) Å at 300 K in the HS state. The nearest Fe separation is along the c-axis and identical with the lattice parameter c.

Examining crystallographic orientation dependence of hardness of silica stishovite

We conducted nanoindentation to explore the hardness and elastic properties of silica stishovite, synthesized at high pressure and quenched to ambient conditions. A total of 10 crystallographic orientations were examined on selected grains with a maximum load of 4 or 20 mN. We observed discontinuity in the load-displacement curve (pop-in) for the [2 5 over(1, -)] and [6 2 over(1, -)] grains subjected to a maximum load of 20 mN. The single-crystal hardness at high plastic deformation is quasi-isotropic with an average of 32 ± 1 GPa, similar to the polycrystalline hardness reported earlier; the theoretical hardness determined from the experiments is about 54 ± 3 GPa. These two hardnesses suggest that stishovite is one of the hardest oxides. The measured indentation moduli are close to the predictions at low load (minor plasticity) but are considerably lower at high load (high plasticity). Both indentation hardness and modulus decrease with increasing plasticity. Our results underscore the necessity of considering the degree of plastic deformation when interpreting hardness and elastic moduli from indentation experiments. © 2007 Elsevier B.V. All rights reserved.

The rise and fall of stand-alone social reporting in a multinational subsidiary in Bangladesh:a case study

Purpose -The main aim of this paper is to examine the underlying drivers for the development and subsequent discontinuation of stand-alone corporate social responsibility (CSR) reporting in a multinational subsidiary in Bangladesh. Design/Methodology/Approach - The research approach employed for this purpose is a case study using evidence from a series of in depth interviews conducted during the period 2002-2010. Interview data is supplemented by examining other sources of information including annual reports, stand-alone social reports and relevant newspaper articles during the study period. Findings - It appears that the stand-alone CSR reporting process was initiated to give the subsidiary a formal space in which to legitimise its activities in Bangladesh where both tobacco control regulation and a strong anti-tobacco movement were gaining momentum. At the start of the process in 2002 corporate interviewees were very receptive of this initiative and strongly believed that it would not be a one off exercise. However, in the face of subsequent significant national policy shifts concerning tobacco control, irreconcilable stakeholder demands and increasing criticism of the CSR activities of the organisation at home and abroad the process was brought to an abrupt end in 2009. Research Limitations/Implications - The paper has a number of implications for policy makers concerning the future prospects for stand-alone social/sustainability reporting as a means of enhancing organisational transparency and accountability. In addition the paper discusses a number of theoretical implications for the development of legitimacy theory. Originality/value - Using the lens of legitimacy the paper theorises the circumstances leading to the initiation and subsequent cessation of CSR reporting in the organisation concerned. As far as we know this is the first study which theorises and provides significant fieldwork based empirical evidence regarding the discontinuation of stand-alone social reporting by a multinational company operating in a developing country. Thus, it extends previous desk-based attempts at using legitimacy theory to explain a decrease (or discontinuity) in CSR disclosures by de Villiers and van Staden (2006) and Tilling and Tilt (2010).

A new scheduling method for enhanced quality of experience in LTE systems

In this paper a new approach to the resource allocation and scheduling mechanism that reflects the effect of user's Quality of Experience is presented. The proposed scheduling algorithm is examined in the context of 3GPP Long Term Evolution (LTE) system. Pause Intensity (PI) as an objective and no-reference quality assessment metric is employed to represent user's satisfaction in the scheduler of eNodeB. PI is in fact a measurement of discontinuity in the service. The performance of the scheduling method proposed is compared with two extreme cases: maxCI and Round Robin scheduling schemes which correspond to the efficiency and fairness oriented mechanisms, respectively. Our work reveals that the proposed method is able to perform between fairness and efficiency requirements, in favor of higher satisfaction for the users to the desired level. © VDE VERLAG GMBH.