Riesz Bases of Root Vectors of Indefinite Sturm-Liouville problems with eigenparameter dependent boundary conditions, I

We consider a regular indefinite Sturm-Liouville problem with two self-adjoint boundary conditions, one being affinely dependent on the eigenparameter. We give sufficient conditions under which a basis of each root subspace for this Sturm-Liouville problem can be selected so that the union of all these bases constitutes a Riesz basis of a corresponding weighted Hilbert space.Comment: 21 page

Public health careers: mapping information, informing practitioner needs

Public health promotion and ill health prevention is a key priority for the NHS. The public health workforce is central to achieving improved health outcomes for a diverse and changing population. This mixed-methods study explored career practitioners’ views on their knowledge of the public health sector as well as the accessibility of public health career information on selected websites. The research suggested practitioners lacked awareness of public health opportunities and were only somewhat confident in providing public health career information. In response to this a new web site has been developed which provides information on over 350 health care role

Nähe der Antike : eine Ansprache

Frankfurter gelehrte Reden und Abhandlungen VIII. Heft : Zwei Ansprachen zur Eröffnung der Ortsgruppe Frankfurt am Main der Gesellschaft für antike Kultur am 9. Dezember 1925 Nähe der Antike / Rudolf G. Binding Zeit und Antike / W. F. Otto

On a necessary aspect for the Riesz basis property for indefinite Sturm-Liouville problems

In 1996, H. Volkmer observed that the inequality $$(\int_{-1}^1\frac{1}{|r|}|f'|dx)^2 \le K^2 \int_{-1}^1|f|^2dx\int_{-1}^1\Big|\Big(\frac{1}{r}f'\Big)'\Big|^2dx$$ is satisfied with some positive constant $K>0$ for a certain class of functions $f$ on $[-1,1]$ if the eigenfunctions of the problem $$-y"=\lambda\, r(x)y,\quad y(-1)=y(1)=0$$ form a Riesz basis of the Hilbert space $L^2_{|r|}(-1,1)$. Here the weight $r\in L^1(-1,1)$ is assumed to satisfy $xr(x)>0$ a.e. on $[-1,1]$. We present two criteria in terms of Weyl-Titchmarsh $m$-functions for the Volkmer inequality to be valid. Using these results we show that this inequality is valid if the operator associated with the spectral problem satisfies the linear resolvent growth condition. In particular, we show that the Riesz basis property of eigenfunctions is equivalent to the linear resolvent growth if $r$ is odd.Comment: 26 page

An interview with Paul Binding

Paul Binding is a British writer who has worked in many fields: he is a literary critic, novelist, reviewer and renowned expert in Scandinavian literature. His novels are Harmonica’s Bridegroom (1984, recently reprinted by Valancourt Books), Kingfisher Weather (1989), My Cousin the Writer (2002) and After Brock (2013). He has given lectures at universities and participated in cultural events in Norway, Sweden, Denmark, Finland and Estonia. His memoir St Martin’s Ride, which focuses on his childhood in Germany soon after the end of the Second World War, was Sir Stephen Spender’s Book of the Year, and was awarded the J.R. Ackerley Prize for the best autobiographical book of 1990. He has frequently spent long periods abroad, and his time in Jackson, Mississipi as a visiting professor led to The Still Moment: Eudora Welty, Portrait of a Writer (1994). The book draws on the many conversations he had with Welty about her work. More recently, he published Imagined Corners: Exploring the World’s First Atlas (2003). He has frequently reviewed books for the Times Literary Supplement and The Independent. His most recent book is Hans Christian Andersen: European Witness (2014), which was very well reviewed and described by Amanda Craig in the Literary Review as his best work yet. An in-depth and wide-ranging literary biography, it sets Andersen’s work within a European context and pays close attention to his unjustly neglected work outside the fairy tales, such as the novel Improvisatore, which Binding argues was a great influence on Charles Dickens. I met and became friends with Paul through our mutual interest in the novelist Barbara Pym, and have since had many discussions with him about writers; he was the plenary speaker at the Barbara Pym Centenary Conference I organised in 2013. He lives in the beautiful small town of Bishop’s Castle, Shropshire, in the Welsh Marches – the border country of England and Wales. His website is http://www.paulbinding.co.uk/index.html

Information Extraction Techniques for the Purposes of Semantic Indexing of Archaeological Resources

The paper describes the use of Information Extraction (IE), a Natural Language Processing (NLP) technique to assist ‘rich’ semantic indexing of diverse archaeological text resources. Such unpublished online documents are often referred to as ‘Grey Literature’. Established document indexing techniques are not sufficient to satisfy user information needs that expand beyond the limits of a simple term matching search. The focus of the research is to direct a semantic-aware 'rich' indexing of diverse natural language resources with properties capable of satisfying information retrieval from on-line publications and datasets associated with the Semantic Technologies for Archaeological Resources (STAR) project in the UoG Hypermedia Research Unit. The study proposes the use of knowledge resources and conceptual models to assist an Information Extraction process able to provide ‘rich’ semantic indexing of archaeological documents capable of resolving linguistic ambiguities of indexed terms. CRM CIDOC-EH, a standard core ontology in cultural heritage, and the English Heritage (EH) Thesauri for archaeological concepts are employed to drive the Information Extraction process and to support the aims of a semantic framework in which indexed terms are capable of supporting semantic-aware access to on-line resources. The paper describes the process of semantic indexing of archaeological concepts (periods and finds) in a corpus of 535 grey literature documents using a rule based Information Extraction technique facilitated by the General Architecture of Text Engineering (GATE) toolkit and expressed by Java Annotation Pattern Engine (JAPE) rules. Illustrative examples demonstrate the different stages of the process. Initial results suggest that the combination of information extraction with knowledge resources and standard core conceptual models is capable of supporting semantic aware and linguistically disambiguate term indexing

Electric Vehicle Fleet Integration in the Danish EDISON Project:A Virtual Power Plant on the Island of Bornholm

The Danish EDISON project has been launched to investigate how a large fleet of electric vehicles (EVs) can be integrated in a way that supports the electric grid while benefitting both the individual car owners and society as a whole through reductions in CO 2 emissions. The consortium partners include energy companies, technology suppliers and research laboratories and institutes. The aim is to perform a thorough investigation of the challenges and opportunities of EVs and then to deliver a technical platform that can be demonstrated on the Danish island of Bornholm. To reach this goal, a vast amount of research is done in various areas of EV technology by the partners. This paper will focus on the ICT-based distributed software integration, which plays a major role for the success of EDISON. Key solution technologies and standards that will accommodate communication and optimize the coordination of EVs will be described as well as the simulation work that will help to reach the goals of the project

A combined "electrochemical-frustrated Lewis pair" approach to hydrogen activation: surface catalytic effects at platinum electrodes

Herein, we extend our “combined electrochemical–frustrated Lewis pair” approach to include Pt electrode surfaces for the first time. We found that the voltammetric response of an electrochemical–frustrated Lewis pair (FLP) system involving the B(C6F5)3/[HB(C6F5)3]− redox couple exhibits a strong surface electrocatalytic effect at Pt electrodes. Using a combination of kinetic competition studies in the presence of a H atom scavenger, 6-bromohexene, and by changing the steric bulk of the Lewis acid borane catalyst from B(C6F5)3 to B(C6Cl5)3, the mechanism of electrochemical–FLP reactions on Pt surfaces was shown to be dominated by hydrogen-atom transfer (HAT) between Pt, [Pt[BOND]H] adatoms and transient [HB(C6F5)3]⋅ electrooxidation intermediates. These findings provide further insight into this new area of combining electrochemical and FLP reactions, and proffers additional avenues for exploration beyond energy generation, such as in electrosynthesis

Experimentation and modeling for the apparent elongation viscosity of polymer melts with the White-Metzner model

[[abstract]]The measurement of the apparent elongation viscosity ( ) of several polyolefin melts was conducted in this study by using the isothermal fiber-spinning method. The White-Metzner (W-M) model was used to analyze the spinning flow of the polymer melts and, thus, the elongation viscosity was predicted at elongation strain rates ranging from 0 to approximately 5 s-1. The values of the model parameters required in the W-M model were obtained by curve-fitting the experimental data obtained from the shear measurements. The elongation viscosity predicted using the W-M model was in good agreement with the experimental results of fiber spinning. In addition, could also be estimated directly from the measured shear viscosity ( ) with a formulation using the W-M model; the subsequently obtained elongation viscosity and Trouton ratio ( ) were reasonable within a wide range of strain rates. Based on the experimental and theoretical results, the polyolefin with a high molecular weight was observed to have high elongation viscosity, and the polymer with a broad molecular weight distribution also possessed high . The TR value of the commercial polypropylene (PP-1040) began to increase from 3 at a deformation rate of 0.1 s-1 and grew up asymptotically to 10, whereas the TR of high-density polyethylene (HDPE-606) remained at 3 within the entire range of strain rates.[[notice]]補正完畢[[incitationindex]]SCI[[incitationindex]]EI[[booktype]]紙本[[booktype]]電子