Bound states in two spatial dimensions in the non-central case

We derive a bound on the total number of negative energy bound states in a potential in two spatial dimensions by using an adaptation of the Schwinger method to derive the Birman-Schwinger bound in three dimensions. Specifically, counting the number of bound states in a potential gV for g=1 is replaced by counting the number of g_i's for which zero energy bound states exist, and then the kernel of the integral equation for the zero-energy wave functon is symmetrized. One of the keys of the solution is the replacement of an inhomogeneous integral equation by a homogeneous integral equation.Comment: Work supported in part by the U.S. Department of Energy under Grant No. DE-FG02-84-ER4015

The call and the response. Martin Heidegger and Martin Buber on responsibility

Filozofia subiektywności dotarła w XX wieku do granic swoich możliwości. Jako odpowiedź na jej ograniczenia rozmaici filozofowie podjęli próby nowego rodzaju myślenia. Takie próby to m.in. myśl dialogiczna, która pierwszy wyraz znalazła w pismach takich filozofów, jak Franz Rosenzweig, Martin Buber czy Eberhard Grisebach. Innym przykładem jest postulat powrotu do pytania o bycie Martina Heideggera. W niniejszym artykule staram się pokazać, że obie próby mają ze sobą wiele wspólnego, choć ich przedstawiciele odnosili się do siebie nawzajem raczej krytycznie, o ile w ogóle to czynili. Okazuje się jednak, że myśl Martina Bubera oraz Martina Heideggera ujmują człowieka jako byt dynamiczny, który staje w obliczu nachodzącego go wezwana. Dlatego też analizuję najpierw koncepcję Martina Heideggera z okresu Bycia i czasu, następnie przedstawiam myślenie Martina Bubera, głównie w oparciu o jego traktat Ja i Ty. Na koniec dokonuję zestawienia i porównania wątków wspólnych obu filozofom, jak również zaznaczam różnice, które dzielą obie próby przekroczenia filozofii podmiotowości

POWER AND ENTREPRENEURSHIP IN GERMAN POLITICAL ECONOMY: THE CASES OF WERNER SOMBART AND FRIEDRICH VON WIESER

In the present paper we are going to examine texts by Werner Sombart and Friedrich von Wieser on entrepreneurship and the capitalist economy using an interdisciplinary approach focused on economics but also dealing with economic sociology and political philosophy. We believe that both authors have been largely neglected, thus overlooking the main source of the theory of the entrepreneur in debates held in German language and between Germany and Austria around the 1900s. Without excluding earlier major references (such as Jean-Baptiste Say, the first French economist at the Collège de France) we shall demonstrate that for both our authors the entrepreneur is the keystone of a renewed understanding of capitalism and the modern economy of their times. They stressed the origins, functions and roles of the entrepreneur and showed that there cannot exist only a single entrepreneurial form but there must necessarily be several ones, depending on the context. Two lessons can be drawn from their texts: 1/ the entrepreneur’s action needs to be reinstalled in the social, economic and institutional context; 2/ the results of the actions of entrepreneurs are inherently difficult to predict because the action responds to institutional changes and is the outcome of such changes.

Definitions of advanced multimorbidity : a scoping review

Funding: Wellcome Trust (223499/Z/21/Z) (SB).Background Increasing numbers of people are living with and dying from multimorbidity (the presence of two or more physical or mental health conditions). However, it has been seen as challenging to identify when people with multiple health conditions may be approaching the end of life (so-called advanced multimorbidity). Aims & Objectives This scoping review aims to comprehensively detail how advanced multimorbidity are currently defined in research, policy and clinical practice. Methods This scoping review is reported in accordance with the Preferred Reporting Items for Systematic Review and Meta-Analyses extension for Scoping Reviews (PRISMA-ScR). A search strategy was developed and implemented into Medline, EMBASE, CINAHL, Scopus and PsychINFO. A further grey literature search was undertaken. Title and abstract then full text screening was undertaken by three co-reviewers. The study’s Public Advisory Group have been instrumental in shaping the research question and summarising our findings. Results From 13,758 initial studies 9499 titles and abstracts screened 760 full texts screened approximately 50 full texts included. There were no studies found from low-middle income countries. Various study designs were utilised, most were retrospective observational studies. Definitions of advanced multimorbidity were often study-specific however a few used a validated prognostic tool e.g. NECPAL. Very few end-of-life care policies were specific to people with advanced multimorbidity. Conclusion The results of this scoping review will enable researchers, policy makers, clinicians and patients to better understand ways to identify when people with multimorbidity may be approaching the end of life.Publisher PDFPeer reviewe

Euler Archive Spotlight

A spotlight on the Euler Archive focusing on Euler and the Basel Problem

Rating the Web Sites of Land Grant Universities and State Departments of Agriculture

For at least ten years, educational and government organizations have used the Internet to communicate with their respective clienteles. Land grant universities, departments of agricultural economics, and state departments of agriculture have launched web sites to achieve various communication goals, including, among others: to disseminate research results, to generate positive publicity among various constituencies, to promote agricultural activities, and to recruit employees. This report is the result of an effort to systematically evaluate, rate, and comment on the web sites of land grant universities, departments of agricultural economics, and state departments of agriculture. A panel of reviewers rated the web sites of these organizations. The results of reviews of a total of 177 web sites are presented. The following aspects were rated for each site: loading time, visual appeal, ease of navigation, quantity of useful information, and overall effectiveness. Individuals responsible for web sites should strive to achieve visual appeal and accessibility, and to avoid broken links and the under construction phenomenon. Three web sites in each category are identified as being highly effective, exemplary sites. Web designers and other representatives may use the results to plan new web page designs and to improve current pages/sites.land grant universities, departments of agricultural economics, state departments of agriculture, web sites, web pages, web design, Internet, e-commerce, electronic communication, Research and Development/Tech Change/Emerging Technologies, Q000, Q100, Q160, Q190,

The Relationship between both Partial and Complete Denture Wearers and the Presence of Oral Malodour and the Effect of Denture Cleansers on the Oral Microbiota

Oral malodour may be considered a substantial concern for a sizeable percentage of the general population and as such it is important for clinicians to identify the causes of oral malodour, to treat the problem effectively. Aim: The aim of the present study was therefore to review the published literature on the presence and perception of oral malodour (halitosis) in patients wearing both removable partial or complete dentures and the effect of denture cleansers on the oral microbiota. Materials & Methods: A comprehensive electronic search of databases such as PUBMED, Cochrane, Google Scholar, EmBase and Web of Science was performed up to February 2016. Results: 55 potentially relevant reports were identified with six studies included in the review. Of the six included papers, only one study was randomised, and five studies were either non-randomised controlled clinical trials or, quasi randomised trials. The results from these studies would suggest that there was an indirect association between the presence and perception of oral malodour in both RPD and complete denture wearing patients. Conclusions: The strength of evidence was however insufficient to draw any definitive conclusions on a potential correlation of oral malodour in patients with RPDs