Two-term spectral asymptotics for the Dirichlet Laplacian on a bounded domain

Let -\Delta denote the Dirichlet Laplace operator on a bounded open set in \mathbb{R}^d. We study the sum of the negative eigenvalues of the operator -h^2 \Delta - 1 in the semiclassical limit h \to 0+. We give a new proof that yields not only the first term of the asymptotic formula but also the second term involving the surface area of the boundary of the set. The proof is valid under weak smoothness assumptions on the boundary.Comment: 10 pages; dedicated to Ari Laptev on the occasion of his 60th birthda

Refined semiclassical asymptotics for fractional powers of the Laplace operator

We consider the fractional Laplacian on a domain and investigate the asymptotic behavior of its eigenvalues. Extending methods from semi-classical analysis we are able to prove a two-term formula for the sum of eigenvalues with the leading (Weyl) term given by the volume and the subleading term by the surface area. Our result is valid under very weak assumptions on the regularity of the boundary

Semi-classical analysis of the Laplace operator with Robin boundary conditions

We prove a two-term asymptotic expansion of eigenvalue sums of the Laplacian on a bounded domain with Neumann, or more generally, Robin boundary conditions. We formulate and prove the asymptotics in terms of semi-classical analysis. In this reformulation it is natural to allow the function describing the boundary conditions to depend on the semi-classical parameter and we identify and analyze three different regimes for this dependence.Comment: 29 page

On thwarted goals and displaced aggression:A compensatory competence model

Thwarted goals and motivational obstacles are antecedents of aggression, but it is not entirely clear what motivates the aggressive response or why it is often displaced onto unrelated targets. The present work applies Goal Systems Theory (Kruglanski et al., 2002) to consider how displaced aggression can sometimes operate like any other means to an end. Specifically, in five studies, we find that thwarted goals motivate displaced aggression to compensate for a threatened sense of competence. First, when an achievement goal is experimentally thwarted, it both threatens self-efficacy beliefs and increases displaced aggression (Studies 1–2). Second, when goal-thwarted individuals have the means to engage in displaced aggression, it reestablishes self-efficacy in the thwarted goal domain (Study 3). However, we find that the superordinate goal being served is competence and not to be aggressive per se: In Study 4, goal thwarted individuals choose to help someone rather than remain idle, even if idleness is the more aggressive alternative. In Study 5, displaced aggression is attenuated among individuals who expect a second performance opportunity in the thwarted goal domain. Together, the results suggest goal-thwarted individuals mainly resort to displaced aggression when they lack other means to interact effectively with the environment

The Use of PBL in an Interprofessional Education Course for Health Care Professional Students

A problem-based learning (PBL) framework was utilized in a series of six interprofessional team seminars (IPTS) for postbaccalaureate students from seven health professions. The goal of IPTS was to develop a collaborative practice-ready workforce prepared to respond to patient care needs through use of concrete examples, skills development, critical thinking, and problem solving in safe, faculty-facilitated small groups. The collaborative nature of PBL closely correlates with teaching methodologies of the IPTS series. This study analyzed critical reflection assignments of nursing students in accelerated programs to determine the effectiveness of IPTS at preparing students for interprofessional collaborative practice. Findings indicated that PBL is an effective method for teaching interprofessional collaboration skills to nursing students

Data Model Customization for Yii Based Erp Application

As UD. Logam Utama's business grow, trigger the need of fast and accurate information in order to improve performance, efficiency, control and company's values. The company needs a system that can integrate each functional area. ERP has centralized database and able to be configured, according to company's business processes.First phase of application development is analysis and design the company's business processes. The design phase produce a number of models that will be used to created application.The final result of application development is an ERP application that can be configured with the company's business process. The ERP application consist of warehouse or production module, purchasing module, sales module, and accounting module

Performance of Seedigated and Conventionally Planted Crops

Seedigation is the use of a moving sprinkler irrigation system to broadcast seeds on the soil surface. Seed germination, plant characteristics and yield for grain sorghum, winter wheat and soybeans that were seedigated and conventionally planted are compared. When the seeding rates for seedigation were increased above that for conventional planting, and adequate moisture was available for germination, grain sorghum and wheat seedigated on tilled surfaces produced yields similar to conventionally planted crops. Seedigation of soybeans into fallow conditions, or when used as a relay crop, was unsuccessful. Shallow disking following seedigation did not improve germination or yield of grain sorghum or winter wheat. Using seedigation to plant wheat into soybeans offers good potential. Seedigating wheat into dense grain sorghum canopies was less successful

Performance of Seedigated and Conventionally Planted Crops

Seedigation is the use of a moving sprinkler irrigation system to broadcast seeds on the soil surface. Seed germination, plant characteristics and yield for grain sorghum, winter wheat and soybeans that were seedigated and conventionally planted are compared. When the seeding rates for seedigation were increased above that for conventional planting, and adequate moisture was available for germination, grain sorghum and wheat seedigated on tilled surfaces produced yields similar to conventionally planted crops. Seedigation of soybeans into fallow conditions, or when used as a relay crop, was unsuccessful. Shallow disking following seedigation did not improve germination or yield of grain sorghum or winter wheat. Using seedigation to plant wheat into soybeans offers good potential. Seedigating wheat into dense grain sorghum canopies was less successful