Analyticity of smooth eigenfunctions and spectral analysis of the Gauss map

We provide a sufficient condition of analyticity of infinitely differentiable eigenfunctions of operators of the form Uf(x) = integral a(x, y) f(b( x, y)) mu(dy) acting on functions f: [u, v] --> C ( evolution operators of one-dimensional dynamical systems and Markov processes have this form). We estimate from below the region of analyticity of the eigenfunctions and apply these results for studying the spectral properties of the Frobenius-Perron operator of the continuous fraction Gauss map. We prove that any infinitely differentiable eigenfunction f of this Frobenius-Perron operator, corresponding to a non-zero eigenvalue admits a (unique) analytic extension to the set C\(-infinity, 1]. Analyzing the spectrum of the Frobenius Perron operator in spaces of smooth functions, we extend significantly the domain of validity of the Mayer and Ropstorff asymptotic formula for the decay of correlations of the Gauss map.

The 'Belfast' timber roof truss - is it sustainable and relevant today?

In the early 19th century the requirement for clear span industrial buildings brought about the development of a variety of timber truss types. The Belfast truss was introduced circa 1860 to meet the demand for efficient wide span industrial buildings. It has essentially a bow-string configuration with a curved top chord, straight horizontal bottom chord and close-spaced lattice web. Several thousand still exist in Ireland, many in buildings of historic significance. This paper sets out to demonstrate the efficiency of the Belfast truss and to show that, by modern structural design criteria, the concept, member sizes and joint details were well chosen. Trusses in historic buildings can be replicated almost exactly as originally fabricated. Results of a theoretical study are compared with the experimental behaviour of two full-scale trusses: one a replacement truss, tested in the laboratory; the other an 80-year-old truss tested on site. In addition, experimental results from a manufacturers archive material of full-scale truss tests carried out about 100 years ago are compared with theoretical models. As well as considering their significance in building conservation the paper proposes that Belfast trusses are an attractive sustainable alternative to other roof structures. The analysis, design, fabrication and testing of trusses have resulted in a better understanding of their behaviour which is not only of historic interest and fundamental to the repair/restoration of existing trusses, but also relevant to the design of modern timber trusses and the promotion of a sustainable form of roof construction.

A variational approach to the relaxation of single domain magnetic particles based on Brown's model

Brown's model for the relaxation of the magnetization of a single domain ferromagnetic particle is considered. This model results in the Fokker-Planck equation of the process. The solution of this equation in the cases of most interest is non- trivial. The probability density of orientations of the magnetization in the Fokker-Planck equation can be expanded in terms of an infinite set of eigenfunctions and their corresponding eigenvalues where these obey a Sturm-Liouville type equation. A variational principle is applied to the solution of this equation in the case of an axially symmetric potential. The first (non-zero) eigenvalue, corresponding to the largest time constant, is considered. From this we obtain two new results. Firstly, an approximate minimising trial function is obtained which allows calculation of a rigorous upper bound. Secondly, a new upper bound formula is derived based on the Euler-Lagrange condition. This leads to very accurate calculation of the eigenvalue but also, interestingly, from this, use of the simplest trial function yields an equivalent result to the correlation time of Coffey et at. and the integral relaxation time of Garanin. (C) 2004 Elsevier B.V. All rights reserved.

Freedom of Expression and Hate Speech

This is a study of free speech and hate speech with reference to the international standards and to the United States jurisprudence. The study, in a comparative and critical fashion, depicts the historical evolution and the application of the concept of ‘free speech,’ within the context of ‘hate speech.’ The main question of this article is how free speech can be discerned from hate speech, and whether the latter should be restricted. To this end, it examines the regulation of free speech under the First Amendment to the United States Constitution, and in light of the international standards, particularly under the International Convention on the Elimination of All Forms of Racial Discrimination, International Covenant on Civil and Political Rights, and the European Convention on Human Rights and Fundamental Freedoms. The study not only illustrates how elusive the endeavour of striking a balance between free speech and other vital interests could be, but also discusses whether and how hate speech should be eliminated within the ‘marketplace of ideas.’

International Association for Hospice and Palliative Care (IAHPC) List of Essential Practices in Palliative Care

The objective of this study was to identify, through a consensus process, the essential practices in primary palliative care. A three-phase study was designed. Phase 1 methods included development of a working group; a literature review; development of a baseline list of practices; and identification of levels of intervention. In Phase 2, physicians, nurses, and nurse aides (n = 425) from 63 countries were asked in three Delphi rounds to rate the baseline practices as essential or nonessential and select the appropriate levels of intervention for each. In Phase 3, representatives of 45 palliative care organizations were asked to select and rank the 10 most important practices resulting from Phase 2. Scores (1-10) were assigned to each, based on the selected level of importance. Results of Phase 1 were a baseline list of 140 practices. Three levels of intervention were identified: Identification/Evaluation; Diagnosis; and Treatment/Solution measures. In Phase 2, the response rates (RR) for the Delphi rounds were 96.5%, 73.6%, and 71.8%, respectively. A consensus point (=80% agreement) was applied, resulting in 62 practices. In Phase 3, RR was 100%. Forty-nine practices were selected and ranked. "Evaluation, Diagnosis and Treatment of Pain" scored the highest (352 points). The working group (WG) arranged the resulting practices in four categories: Physical care needs, Psychological/Emotional/Spiritual care needs, Care Planning and Coordination, and Communication. The IAHPC List of Essential Practices in Palliative care may help define appropriate primary palliative care and improve the quality of care delivered globally. Further studies are needed to evaluate their uptake and impact.

Buckling and Postbuckling Structures: Experimental, Analytical and Numerical Studies

This book provides an in-depth treatment of the study of the stability of engineering structures. Contributions from internationally recognized leaders in the field ensure a wide coverage of engineering disciplines in which structural stability is of importance, in particular the analytical and numerical modelling of structural stability applied to aeronautical, civil, marine and offshore structures. The results from a number of comprehensive experimental test programs are also presented, thus enhancing our understanding of stability phenomena as well as validating the analytical and computational solution schemes presented. A variety of structural materials are investigated with special emphasis on carbon-fibre composites, which are being increasingly utilized in weight-critical structures. Instabilities at the meso- and micro-scales are also discussed. This book will be particularly relevant to professional engineers, graduate students and researchers interested in structural stability.

Being observant and observed: embodied citizenship training in the Home Guard and the Boy Scout Movement, 1907-1945

Building upon recent studies by geographers and social scientists on the everyday practices of (scientific) observation, this paper focuses on the role of two distinct, yet similar organisations that held observation as an essential and 'automatic' embodied skill. Utilising the examples of Home Guard camouflage and the Boy Scout Movement, the paper critically examines how these organisations sought to articulate the individual as both observer and observed, thereby exposing a much more complex entanglement of different visual positions and practices hitherto neglected in studies of observation. Moreover, the paper emphasises the importance of the act of 'not-being-seen' as a complementary and fundamental aspect of (non-)observational practice, accentuated and promoted by civic institutions in terms of duty and responsibility. Finally, the paper considers the evolutionary aspects of observation through the lifecourse, revealing a complex, relational geography of expertise, experience and skill that crossed age-distinctions. © 2012 Elsevier Ltd.

Developing a best practice model for partnership practice between specialist palliative care and intellectual disability services: a mixed methods study

Background: The lack of access to good quality palliative care for people with intellectual disabilities is highlighted in the international literature. In response, more partnership practice in end-of-life care is proposed. 
Aim: This study aimed to develop a best practice model to guide and promote partnership practice between specialist palliative care and intellectual disability services. 
Design: A mixed methods research design involving two phases was used, underpinned by a conceptual model for partnership practice. 
Setting/participants: Phase 1 involved scoping end-of-life care to people with intellectual disability, based on self-completed questionnaires. In all, 47 of 66 (71.2%) services responded. In Phase 2, semi-structured interviews were undertaken with a purposive sample recruited of 30 health and social care professionals working in intellectual disability and palliative care services, who had provided palliative care to someone with intellectual disability. For both phases, data were collected from primary and secondary care in one region of the United Kingdom. 
Results: In Phase 1, examples of good practice were apparent. However, partnership practice was infrequent and unmet educational needs were identified. Four themes emerged from the interviews in Phase 2: challenges and issues in end-of-life care, sharing and learning, supporting and empowering and partnership in practice. 
Conclusion: Joint working and learning between intellectual disability and specialist palliative care were seen as key and fundamental. A framework for partnership practice between both services has been developed which could have international applicability and should be explored with other services in end-of-life care.

Water structure and chaotropicity: their uses, abuses and biological implications

The concept of "water structure" has been invoked to explain all manner of aqueous phenomena. Here we look at the origins of this tendency to understand solute hydration in terms of structural changes in bulk water, and consider the validity of one particular example: the classification of small solutes as chaotropic or kosmotropic, and the putative relation of this terminology to notions of structure-making and structure-breaking in the solvent. We doubt whether complex phenomena such as Hofmeister and osmolyte effects on macromolecules can be understood simply on the basis of a change in solvent structure. Rather, we argue that chaotropicity, if understood in the original sense, arises from the activities that solutes exert on macromolecular systems, as well as from deviations of solvation water from bulk-like behaviour. If applied judiciously, chaotropicity remains a potent, biologically pertinent parameter useful for classifying and understanding solution phenomena in all types of living system.

Using Comparative Reasoning in Human Rights Adjudication:The Court of Justice of the European Union and the European Court of Human Rights Compared

This article examines the relationship between the methods that the European Court of Human Rights (ECtHR) and the Court of Justice of the European Union (CJEU) use to decide disputes that involve ‘human’ or ‘fundamental’ rights claims, and the substantive outcomes that result from the use of these particular methods. It has a limited aim: in attempting to understand the interrelationship between human rights methodology and human rights outcomes, it considers primarily the use of ‘comparative reasoning’ in ‘human’ and ‘fundamental’ rights claims by these courts. It is not primarily concerned with examining the extent to which the use of comparative reasoning is based on an appropriate methodology or whether there is a persuasive normative theory underpinning the use of comparative reasoning. The issues considered in this chapter do some of the groundwork, however, that is necessary in order to address these methodological and normative questions.

Chloride transport and the resulting corrosion of steel bars in alkali activated slag concretes

As the relative performance of alkali activated slag (AAS) concretes in comparison to Portland cement (PC) counterparts for chloride transport and resulting corrosion of steel bars is not clear, an investigation was carried out and the results are reported in this paper. The effect of alkali concentration and modulus of sodium silicate solution used in AAS was studied. Chloride transport and corrosion properties were assessed with the help of electrical resistivity, non-steady state chloride diffusivity, onset of corrosion, rate of corrosion and pore solution chemistry. It was found that: (i) although chloride content at surface was higher for the AAS concretes, they had lower chloride diffusivity than PC concrete; (ii) pore structure, ionic exchange and interaction effect of hydrates strongly influenced the chloride transport in the AAS concretes; (iii) steel corrosion resistance of the AAS concretes was comparable to that of PC concrete under intermittent chloride ponding regime, with the exception of 6% Na2O and Ms of 1.5; (iv) the corrosion behaviour of the AAS concretes was significantly influenced by ionic exchange, carbonation and sulphide concentration; (v) the increase of alkali concentration of the activator generally increased the resistance of AAS concretes to chloride transport and reduced its resulting corrosion, and a value of 1.5 was found to be an optimum modulus for the activator for improving the chloride transport and the corrosion resistance.