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

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

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

The High Plasma Retinol Binding Protein 4 Level as a Risk Factor Consequently of Type 2 Diabetes Mellitus of Abdominal Obesity

Abdominal obesity (Ab-Ob) related to cardiometabolic risk, that is riskfactor constellation for succeeded cardiovasculer disease and type 2 DiabetesMellitus (DM). That factors such as atherogenic dislipidemia, hypertension,hyperglycemia, protrombotic state, and proinflammation state. Type 2 DMcharacterised by insulin resistance (IR). Plasma levels of retinol binding protein 4(RBP4) that is secreted by adipocytes are increased in insulin resistance (IR) state.Experiment in mice suggest that elevated RBP4 level cause IR. Although theunderlying mechanism is not clearly understood, RBP4 considered playimportance role consequently of type 2 DM in Ab-Ob.This research was carried out to determine the role of high plasma RBP4level as a risk factor consequently of type 2 DM in Ab-Ob. The research wasconducted by cross sectional analytic in 81 patients with Ab-Ob and case controlstudy with matching on 33 patients with Ab-Ob type 2 DM as cases and 33patients with Ab-Ob non type 2 DM as control. The plasma of TNF-?, sTNFR1,and RBP4 levels was measured by ELISA. IR status of the patients wasdetermined by HOMA-IR, whereas the ?-cell function was determined byHOMA-B. Ab-Ob was defined by using criteria for Asian peoples (male WC ? 90cm; female WC ? 80 cm). The result of 81 patients with Ab-Ob showed that bothplasma of TNF-? and sTNFR1 levels were significant positive correlated withplasma RBP4 level (coeficient correlation r = 0,294; p = 0,008 dan r = 0,458; p =<0,001 respectively). In addition, the plasma of RBP4 level significantly positivecorrelation with HOMA-IR (r = 0,450; p = 0,000) and significantly negativecorrelation with HOMA-B (r = -0,564; p = <0,001). In the matched case-controlstudy, it was shown that mean plasma of RBP4 level of type 2 DM group (76,08 ±16,84 ?g/ml) statistically higher than that without type 2 DM group (41,13 ±14,75 ?g/ml) (p = <0,001). The odds ratio higher plasma of RBP4 level was 5,426(CI 95%; 1,343 – 21, 928) statistically significant for increases risk type 2 DM (p= < 0,05). It has been proven that RBP4 was a dominant and consisten risk factor(66.9%, p = < 0.001) which influenced the incidence of type 2 DM in Ab-Ob. It can be concluded that high plasma of RBP4 level have a greater risk tosuffered from type 2 DM compared to low plasma of RBP4 in Ab-Ob. The highplasma of RBP4 level is most dominant and consistent risk factor consequently oftype 2 DM. These mechanism could behind the association between high plasmaof RBP4 level and type 2 DM

Borromean binding

A review is first presented of the Hall--Post inequalities relating $N$-body to $(N-1)$-body energies of quantum bound states. These inequalities are then applied to delimit, in the space of coupling constants, the domain of Borromean binding where a composite system is bound while smaller subsystems are unbound.Comment: 5 pages, Dedicated to V.B. Belyaev for his 70th birthday, to be included in a jubilee volume, edited by A.K.Motovilov and F.M.Pen'ko

De novo prediction of PTBP1 binding and splicing targets reveals unexpected features of its RNA recognition and function.

The splicing regulator Polypyrimidine Tract Binding Protein (PTBP1) has four RNA binding domains that each binds a short pyrimidine element, allowing recognition of diverse pyrimidine-rich sequences. This variation makes it difficult to evaluate PTBP1 binding to particular sites based on sequence alone and thus to identify target RNAs. Conversely, transcriptome-wide binding assays such as CLIP identify many in vivo targets, but do not provide a quantitative assessment of binding and are informative only for the cells where the analysis is performed. A general method of predicting PTBP1 binding and possible targets in any cell type is needed. We developed computational models that predict the binding and splicing targets of PTBP1. A Hidden Markov Model (HMM), trained on CLIP-seq data, was used to score probable PTBP1 binding sites. Scores from this model are highly correlated (ρ = -0.9) with experimentally determined dissociation constants. Notably, we find that the protein is not strictly pyrimidine specific, as interspersed Guanosine residues are well tolerated within PTBP1 binding sites. This model identifies many previously unrecognized PTBP1 binding sites, and can score PTBP1 binding across the transcriptome in the absence of CLIP data. Using this model to examine the placement of PTBP1 binding sites in controlling splicing, we trained a multinomial logistic model on sets of PTBP1 regulated and unregulated exons. Applying this model to rank exons across the mouse transcriptome identifies known PTBP1 targets and many new exons that were confirmed as PTBP1-repressed by RT-PCR and RNA-seq after PTBP1 depletion. We find that PTBP1 dependent exons are diverse in structure and do not all fit previous descriptions of the placement of PTBP1 binding sites. Our study uncovers new features of RNA recognition and splicing regulation by PTBP1. This approach can be applied to other multi-RRM domain proteins to assess binding site degeneracy and multifactorial splicing regulation