Exact controllability of non-Lipschitz semilinear systems

We present sufficient conditions for exact controllability of a semilinear infinite-dimensional dynamical system. The system mild solution is formed by a noncompact semigroup and a nonlinear disturbance that does not need to be Lipschitz continuous. Our main result is based on a fixed point-type application of the Schmidt existence theorem and illustrated by a nonlinear transport partial differential equation

The troubling concept of class: reflecting on our ‘failure’ to encourage sociology students to re-cognise their classed locations using autobiographical methods

The troubling concept of class: reflecting on our ‘failure’ to encourage sociology students to re-cognise their classed locations using autobiographical methods Abstract This paper provides a narrative of the four authors‟ commitment to auto/biographical methods as teachers and researchers in „new‟ universities. As they went about their work, they observed that, whereas students engage with the gendered, sexualised and racialised processes when negotiating their identities, they are reluctant or unable to conceptualise „class-ifying‟ processes as key determinants of their life chances. This general inability puzzled the authors, given the students‟ predominantly working-class backgrounds. Through application of their own stories, the authors explore the sociological significance of this pedagogical „failure‟ to account for the troubling concept of class not only in the classroom but also in contemporary society

Recent progress in random metric theory and its applications to conditional risk measures

The purpose of this paper is to give a selective survey on recent progress in random metric theory and its applications to conditional risk measures. This paper includes eight sections. Section 1 is a longer introduction, which gives a brief introduction to random metric theory, risk measures and conditional risk measures. Section 2 gives the central framework in random metric theory, topological structures, important examples, the notions of a random conjugate space and the Hahn-Banach theorems for random linear functionals. Section 3 gives several important representation theorems for random conjugate spaces. Section 4 gives characterizations for a complete random normed module to be random reflexive. Section 5 gives hyperplane separation theorems currently available in random locally convex modules. Section 6 gives the theory of random duality with respect to the locally $L^{0}-$convex topology and in particular a characterization for a locally $L^{0}-$convex module to be $L^{0}-$pre$-$barreled. Section 7 gives some basic results on $L^{0}-$convex analysis together with some applications to conditional risk measures. Finally, Section 8 is devoted to extensions of conditional convex risk measures, which shows that every representable $L^{\infty}-$type of conditional convex risk measure and every continuous $L^{p}-$type of convex conditional risk measure ($1\leq p<+\infty$) can be extended to an $L^{\infty}_{\cal F}({\cal E})-$type of $\sigma_{\epsilon,\lambda}(L^{\infty}_{\cal F}({\cal E}), L^{1}_{\cal F}({\cal E}))-$lower semicontinuous conditional convex risk measure and an $L^{p}_{\cal F}({\cal E})-$type of ${\cal T}_{\epsilon,\lambda}-$continuous conditional convex risk measure ($1\leq p<+\infty$), respectively.Comment: 37 page

Set optimization - a rather short introduction

Recent developments in set optimization are surveyed and extended including various set relations as well as fundamental constructions of a convex analysis for set- and vector-valued functions, and duality for set optimization problems. Extensive sections with bibliographical comments summarize the state of the art. Applications to vector optimization and financial risk measures are discussed along with algorithmic approaches to set optimization problems

Learning to Think Iconically in the Human and Social Sciences: Iconic Standards of Understanding as a Pivotal Challenge for Method Development

Theoretically as well as alongside an empirical research idea, this paper outlines conditions for the development of social scientific empirical methods able to further exploit the iconic potential of the image. Reconstructing the role of formal pictorial elements for the standards of understanding within the medium “image” is considered pivotal in this endeavor. Within the context of language, standards of communication have already been extensively researched. The linguistic format of the narrative, for instance, is well studied. Up to now, though, comparable formal vehicles of iconic semantics have only been examined in aesthetics and art history. Nevertheless, standards of iconic understanding are part of our implicit knowledge, are incessantly in use in everyday practice and, thus, the basis of everyday identity formation. With the help of empirical methods based on an iconic logos we can deepen our understanding of orientations, longings, and anxieties of our time that are often silently conveyed by images. Fashion will be outlined as a prototypical field, in which an empirically based development of such methods might start off

Implementation of a Standardized Initial Assessment for Demand Management in Outpatient Emergency Care in Germany: Early Qualitative Process Evaluation

BACKGROUND: Inadequate assessment of the severity and urgency of medical problems is one of the factors contributing to unnecessary emergency department (ED) visits. The implementation of a software-based instrument for standardized initial assessment-Standardisierte medizinische Ersteinschätzung in Deutschland (SmED) (Standardized medical Initial Assessment in Germany in English)-aims to support health care professionals and steer patients toward the right health care provider. This study aimed to explore the implementation process of SmED from a user perspective. OBJECTIVE: This study aims to evaluate the overall perception of SmED by health care professionals using the software, to examine to what extent SmED influences the workload and work routines of health care professionals, and to determine which factors are associated with the use of SmED. METHODS: An early qualitative process evaluation on the basis of interviews was carried out alongside the implementation of SmED in 26 outpatient emergency care services within 11 federal states in Germany. Participants were 30 health care professionals who work with SmED either at the joint central contact points of the outpatient emergency care service and the EDs of hospitals (ie, the Joint Counter; Gemeinsamer Tresen in German) or at the initial telephone contact points of the outpatient emergency care service (phone number 116117). Matrix-based framework analysis was applied to analyze the interview data. RESULTS: Health care professionals perceived that workload increased initially, due to additional time needed per patient. When using SmED more frequently and over a longer time period, its use became more routine and the time needed per call, per patient, decreased. SmED was perceived to support decision making regarding urgency for medical treatment, but not all types of patients were eligible. Technical problems, lack of integration with other software, and lack of practicability during peak times affected the implementation of SmED. CONCLUSIONS: Initial experiences with SmED were positive, in general, but also highlighted organizational issues that need to be addressed to enhance sustainability. TRIAL REGISTRATION: German Clinical Trials Register DRKS00017014; https://www.drks.de/drks_web/navigate.do?navigationId=trial.HTML&TRIAL_ID=DRKS00017014

[Quo vadis 116117? Nationwide Overview of the Status Quo and Current Changes]

BACKGROUND: The on-call service (emergency service) has been reachable under 116117 in Germany since 2012. Nevertheless, this number is almost unknown to most Germans. A literature review of emergency service has shown that information which can be found is often incomplete and unclear. Thus, the aim of this study was to cover the status quo regarding 116117 at the federal level in Germany. METHODS: In February 2019 all physicians working with a statutory health insurance were asked to fill in an online survey. The survey was based on a literature review regarding emergency service and on-call service at the federal level in Germany. The questionnaire covered different areas. In this paper only results regarding 116117 will be reported. Data were analyzed descriptively. RESULTS: The organization and range of services as well as the qualifications of the staff are structured differently at the federal level. Services provided by 116117 are arrangements for home visits, out-of-hours service appointments, consulting, and forwarding to 112. Staff includes physician assistants, nurses, and physicians. CONCLUSION: Standardized regulations at the federal level might improve transparency. The planned extension of 116117 to include a standardized initial medical assessment as well as 24/7 accessibility could facilitate patient access to adequate medical treatment