Essential skeletons of pairs and the geometric P=W conjecture

We construct weight functions on the Berkovich analytification of a variety over a trivially-valued field of characteristic zero, and this leads to the definition of the Kontsevich-Soibelman skeletons and the essential skeletons of pairs. We prove that the weight functions determine a metric on the pluricanonical bundles which coincides with Temkin's canonical metric in the smooth case. The weight functions are defined in terms of log discrepancies, which makes the Kontsevich-Soibelman and essential skeletons computable: this allows us to relate the essential skeleton to its discretely-valued counterpart, and explicitly describe the closure of the Kontsevich-Soibelman skeletons. As a result, we employ these techniques to compute the dual boundary complexes of certain character varieties: this provides the first evidence for the geometric P=W conjecture in the compact case, and the first application of Berkovich geometry in non-abelian Hodge theory.Comment: Sections 1.6-1.7 rewritten and minor changes in Sections 6-

Derivation of an Analytical Approximation of the Spectrum of Spinning Dust Emission

An analytical function for the spectrum of spinning dust emission is presented. It is derived through the application of careful approximations, with each step tested against numerical calculations. This approach ensures accuracy while providing an intuitive picture of the physics. The final result may be useful for fitting of anomalous microwave emission observations, as is demonstrated by a comparison with the Planck observations of the Perseus Molecular Cloud. It is hoped that this will lead to a broader consideration of the spinning dust model when interpreting microwave continuum observations, and that it will provide a standard framework for interpreting and comparing the variety of anomalous microwave emission observations

A Review of Mobile/Modular Slaughter and Processing Technology

This report examines mobile and modular slaughter technology currently in use on the U.S. mainland as a potentially cost-effective alternative to brick-and-mortar facilities. The discussion is aided by the authors' firsthand experience touring units in New Mexico, Washington, and Nebraska. They also draw on their attendence of a mobile slaughter conference sponsored by the USDA Food Safety Inspection Service

Fathers, Divorce, and Child Custody

A great many fathers will have their fathering eliminated, disrupted, or vastly changed because they become divorced from the child’s mother. In fact, between 40% and 50% of marriages end in divorce (Cherlin, 2010). Although the divorce rate (measured as divorces per 1,000 people) is high by the standards prior to the late 1960s, it has actually fallen more than 30% since its peak in 1980. The decline in divorce rates in recent years has, however, been concentrated among the college-educated portion of the population; divorce rates among the less well educated may have even increased (Cherlin, 2010). But for both groups, divorce remains the most prevalent reason for changes in paternal parenting opportunities. For almost all divorced fathers (as well as for most mothers and children), divorce is a life-defining event, around which all other experiences are organized: before the divorce versus after the divorce. Although mothers’ parenting is generally changed by divorce, the revision to the parent-child interaction patterns is generally not as far-reaching as it is to fathers’ (Braver & Lamb, in press; Braver, Shapiro, & Goodman, 2005; Fabricius, Braver, Diaz, & Velez, 2010). The reason, of course, is the radical difference between the two parents’ custodial arrangements that typically occurs. As will be documented more precisely below, mothers generally become chief custodians of children, with fathers having visiting rights only. Although that situation has changed in recent years, due in large part to the fact that research has accumulated that illuminates the unintended negative consequences of that practice on fathers and children, it remains normative. Thus, no review of fathers and divorce can be complete or enlightening unless it also considers custody matters, as we do here

Towards a middleware for generalised context management

It is widely accepted in the Pervasive Computing community that contextual interactions are the key to the delivery of truly calm technology. However, there is currently no easy way to incorporate contextual data into an application. If contextual data is used, it is generally in an ad hoc manner, which means that developers have to spend time on low-level details. There have been many projects investigating this area, however as yet none of them provide support for all of the key issues of dynamic composition and flexible representation of contextual information as well as the problems of scalability and adaptability to environmental changes. In this paper we present the Strathclyde Context Infrastructure (SCI), a middleware infrastructure for discovery, aggregation, and delivery of context information

Circulation policies for external users: A comparative study of public urban research institutions

This article is a study of the policies that govern the use of the university library by external users at Indiana University–Purdue University Indianapolis (IUPUI) and 12 peer institutions used by IUPUI for comparative purposes. A search of each institution’s Web site was conducted as well as interviews with circulation librarians and managers. Although it was useful to learn of common practices, it was especially beneficial to learn about policies that differed substantially from those in place at comparable institutions. Creative solutions developed to address problems at other libraries can be used to influence policy development

Insulin therapy and dietary adjustments to normalize glycemia and prevent nocturnal hypoglycemia after evening exercise in type 1 diabetes: a randomized controlled trial

Introduction Evening-time exercise is a frequent cause of severe hypoglycemia in type 1 diabetes, fear of which deters participation in regular exercise. Recommendations for normalizing glycemia around exercise consist of prandial adjustments to bolus insulin therapy and food composition, but this carries only short-lasting protection from hypoglycemia. Therefore, this study aimed to examine the impact of a combined basal-bolus insulin dose reduction and carbohydrate feeding strategy on glycemia and metabolic parameters following evening exercise in type 1 diabetes. Methods Ten male participants (glycated hemoglobin: 52.4±2.2 mmol/mol), treated with multiple daily injections, completed two randomized study-days, whereby administration of total daily basal insulin dose was unchanged (100%), or reduced by 20% (80%). Participants attended the laboratory at ∼08:00 h for a fasted blood sample, before returning in the evening. On arrival (∼17:00 h), participants consumed a carbohydrate meal and administered a 75% reduced rapid-acting insulin dose and 60 min later performed 45 min of treadmill running. At 60 min postexercise, participants consumed a low glycemic index (LGI) meal and administered a 50% reduced rapid-acting insulin dose, before returning home. At ∼23:00 h, participants consumed a LGI bedtime snack and returned to the laboratory the following morning (∼08:00 h) for a fasted blood sample. Venous blood samples were analyzed for glucose, glucoregulatory hormones, non-esterified fatty acids, β-hydroxybutyrate, interleukin 6, and tumor necrosis factor α. Interstitial glucose was monitored for 24 h pre-exercise and postexercise. Results Glycemia was similar until 6 h postexercise, with no hypoglycemic episodes. Beyond 6 h glucose levels fell during 100%, and nine participants experienced nocturnal hypoglycemia. Conversely, all participants during 80% were protected from nocturnal hypoglycemia, and remained protected for 24 h postexercise. All metabolic parameters were similar. Conclusions Reducing basal insulin dose with reduced prandial bolus insulin and LGI carbohydrate feeding provides protection from hypoglycemia during and for 24 h following evening exercise. This strategy is not associated with hyperglycemia, or adverse metabolic disturbances

Nuclear ground states in a consistent implementation of the time-dependent density matrix approach

Background: Time-dependent techniques in nuclear theory often rely on mean-field or Hartree-Fock descriptions. Beyond-mean-field dynamical calculations within the time-dependent density matrix (TDDM) theory have often invoked symmetry restrictions and ignored the connection between the mean field and the induced interaction. Purpose: We study the ground states obtained in a TDDM approach for nuclei from A=12 to A=24, including examples of even-even and odd-even nuclei with and without intrinsic deformation. We overcome previous limitations using three-dimensional simulations and employ density-independent Skyrme interactions self-consistently. Methods: The correlated ground states are found starting from the Hartree-Fock solution, by adiabatically including the beyond-mean-field terms in real time. Results: We find that, within this approach, correlations are responsible for ≈4-5 % of the total energy. Radii are generally unaffected by the introduction of beyond-mean-field correlations. Large nuclear correlation entropies are associated with large correlation energies. By all measures, 12C is the most correlated isotope in the mass region considered. Conclusions: Our work is the starting point of a consistent implementation of the TDDM technique for applications into nuclear reactions. Our results indicate that correlation effects in structure are small, but beyond-mean-field dynamical simulations could provide insight into several issues of interest