Constrained Willmore Surfaces

Constrained Willmore surfaces are conformal immersions of Riemann surfaces that are critical points of the Willmore energy $W=\int H^2$ under compactly supported infinitesimal conformal variations. Examples include all constant mean curvature surfaces in space forms. In this paper we investigate more generally the critical points of arbitrary geometric functionals on the space of immersions under the constraint that the admissible variations infinitesimally preserve the conformal structure. Besides constrained Willmore surfaces we discuss in some detail examples of constrained minimal and volume critical surfaces, the critical points of the area and enclosed volume functional under the conformal constraint.Comment: 17 pages, 8 figures; v2: Hopf tori added as an example, minor changes in presentation, numbering changed; v3: new abstract and appendix, several changes in presentatio

Climate-Weather Modeling Studies Using a Prototype Global Cloud-System Resolving Model: ALCF-2 Early Science Program

This report describes Climate-Weather Modeling Studies Using a Prototype Global Cloud-System Resolving Model: ALCF-2 Early Science Program

Signal detection in animal psychoacoustics: analysis and simulation of sensory and decision-related influences

Signal detection theory (SDT) provides a framework for interpreting psychophysical experiments, separating the putative internal sensory representation and the decision process. SDT was used to analyse ferret behavioural responses in a (yes–no) tone-in-noise detection task. Instead of measuring the receiver-operating characteristic (ROC), we tested SDT by comparing responses collected using two common psychophysical data collection methods. These (Constant Stimuli, Limits) differ in the set of signal levels presented within and across behavioural sessions. The results support the use of SDT as a method of analysis: SDT sensory component was unchanged between the two methods, even though decisions depended on the stimuli presented within a behavioural session. Decision criterion varied trial-by-trial: a ‘yes’ response was more likely after a correct rejection trial than a hit trial. Simulation using an SDT model with several decision components reproduced the experimental observations accurately, leaving only ∼10% of the variance unaccounted for. The model also showed that trial-by-trial dependencies were unlikely to influence measured psychometric functions or thresholds. An additional model component suggested that inattention did not contribute substantially. Further analysis showed that ferrets were changing their decision criteria, almost optimally, to maximise the reward obtained in a session. The data suggest trial-by-trial reward-driven optimization of the decision process. Understanding the factors determining behavioural responses is important for correlating neural activity and behaviour. SDT provides a good account of animal psychoacoustics, and can be validated using standard psychophysical methods and computer simulations, without recourse to ROC measurements

Nach dem Holländischen Jost van Vondels: De zeventiende-eeuwse Maria Stuart-vertaling van de Saksische advocaat Christoph Kormart

Literary translations had an important role in the circulation of political ideas in Early Modern Europe. This article shows how the Saxon lawyer Christoph Kormart used Vondel’s martyr play Maria Stuart (1646) as a political instrument. In Saxony, elector Johann Georg II was not a sovereign ruler, but was politically dependent on the nobility and partially his brothers. Adding different political and baroque themes to the Vondel play, Kormart used the German translation (1672) to criticize this political constellation and warned against the dangers of a system with oligarchic tendencies

A review of processes and outcomes in family-centered services for children with a disability

The importance of being family centered when providing services to children with a disability and their families has gained currency in the research and practice literature. A growing body of evidence has validated many of the theoretical links between the help-giving practices of staff and desirable outcomes for families with a child with a disability. However, it is clear from the research to date that the relationship between the provision of family-centered services and the achievement of positive outcomes for children and their parents is complex and is yet to be fully understood. The present article reviews the research in this area and discusses the links between help-giving practices and child and family outcomes for families who have a member with a disability. The article summarizes the extant research in an accessible format and identifies areas for future research