Steiner's formula in the Heisenberg group

Steiner's tube formula states that the volume of an ∈-neighborhood of a smooth regular domain in ℝn is a polynomial of degree n in the variable ∈ whose coefficients are curvature integrals (also called quermassintegrals). We prove a similar result in the sub-Riemannian setting of the first Heisenberg group. In contrast to the Euclidean setting, we find that the volume of an ∈-neighborhood with respect to the Heisenberg metric is an analytic function of ∈ that is generally not a polynomial. The coefficients of the series expansion can be explicitly written in terms of integrals of iteratively defined canonical polynomials of just five curvature terms

About multi-resolution techniques for large eddy simulation of reactive multi-phase flows

A numerical technique for mesh refinement in the HeaRT (Heat Release and Transfer) numerical code is presented. In the CFD framework, Large Eddy Simulation (LES) approach is gaining in importance as a tool for simulating turbulent combustion pro- cesses, also if this approach has an high computational cost due to the complexity of the turbulent modeling and the high number of grid points necessary to obtain a good numerical solution. In particular, when a numerical simulation of a big domain is performed with a structured grid, the number of grid points can increase so much that the simulation becomes impossible: this problem can be overcomed with a mesh refinement technique. Mesh refinement technique developed for HeaRT numerical code (a staggered finite difference code) is based on an high order reconstruction of the variables at the grid interfaces by means of a least square quasi-eno interpolation: numerical code is written in modern Fortran (2003 standard of newer) and is parallelized using domain decomposition and message passing interface (MPI) standard

Hysteretic nonequilibrium Ising-Bloch transition

We show that a parametrically driven cubic-quintic complex Ginzburg-Landau equation exhibits a hysteretic nonequilibrium Ising-Bloch transition for large enough quintic nonlinearity. These results help to understand the recent experimental observation of this pheomenon [A. Esteban-Martin et al., Phys. Rev. Lett. 94, 223903 (2005)].Comment: 3 pages + six figure

Two-photon decay of heavy quarkonium from heavy-quark spin symmetry

With the recent measurements on $\eta_{c}$ and $\eta_{c}^{\prime}$ at CLEO, Babar and Belle, and with the prospect of finding the $\eta_{b}$ at the Tevatron, it seems appropriate to have another look at the two-photon decay of heavy quarkonium from the standpoint of an effective Lagrangian based on local operator expansion and heavy-quark spin symmetry. In this talk, I would like to discuss a recent work on the two-photon decay rates of ground states and excited states of $\eta_c$ and $\eta_b$ using the local operator expansion approach and heavy-quark spin symmetry and taking into account the binding-energy. We find that the predicted two-photon width for $\eta_c$ agrees well with experiment, but the predicted value for $\eta_c(2S)$ is twice larger than the CLEO estimation. We point out that the essentially model-independent ratio of $\eta_b$ two-photon width to the $\Upsilon$ leptonic width and the $\eta_b$ two-photon width could be used to extract the strong coupling constant $\alpha_s$ .Comment: 9 pages, Talk given at the QCD@Work 2007 International Workshop on QCD: Theory and Experiment}, Martina Franca, Italy, 16--20 June 200

Anonymity, efficiency wages and technological progress

Although the industrial revolution is often characterized as the culmination of a process of commercialisation, the precise nature of such a link remains unclear. This paper provides an analysis of one such link: the role of commercialisation in raising wages as impersonal labour market transactions replace personalized customary relations. In the presence of an aggregate capital externality, we show that the resulting shift in relative factor prices will, under certain conditions, lead to higher capital-intensity in the production technology and hence, a faster rate of technological progress. We provide historical evidence using European data to show that England was among the most urbanized and the highest wage countries at the onset of the industrial revolution. The model highlights the effects of changes in the availability of information, typical of a modernising country, on efficiency wages and technological progress

Commercialisation, factor prices and technological progress in the transition to modern economic growth

We provide a model of the links between commercialisation and technological progress, which is consistent with the historical evidence and places market relations at the heart of the industrial revolution. First, commercialisation raised wages as a growing reliance on impersonal labour market transactions in place of customary relations with a high degree of monitoring led to the adoption of efficiency wages. Second, commercialisation lowered interest rates as a growing reliance on impersonal capital market transactions in place of active investor involvement in investment projects led investors to allow borrowers to keep a larger share of the profits. Third, the resulting rise in the wage/cost of capital ratio led to the adoption of a more capital-intensive technology. Fourth, this led to a faster rate of technological progress through greater learning by doing on the capital intensive production technology. Fifth, the rate of technological progress was raised further by the patent system, which allowed the commercialisation of property rights in innovations embodied in machinery

Refrigeration and Air-conditioning Technology Course: Sustainable Growth of Professional Competency

This study was conducted to explore a practical discussion on helping the students' professional competency. More specifically, this study conducted two studies developing a competency analysis profile on refrigeration and air conditioning technology, and examining the essential core competencies for training undergraduate students in Bachelor of Science in Industrial Technology specializing Refrigeration and Air Conditioning Technology at Cebu Technological University. The qualitative and quantitative data were collected through observations, interviews, document analysis, and developing a curriculum job analysis process from six (6) training instructors from Cebu Technological University, two (2) training instructors from Technical Education Skills and Development Authority and three (3) service technicians from wellknownRefrigeration and Air Conditioning Service Centers in Metro Cebu. Moreover, the importance of core competencies as rated by respondents and the mean rating were calculated for each competency. The quality of the results had to be applied for a systematic curriculum and instructional development to effective implementation guidelines. Thus, enhance the competencies in Refrigeration and Air Conditioning Technolog

Prevalence and severity of dental fluorosis in the United States, 1999-2004

"Dental fluorosis refers to changes in the appearance of tooth enamel that are caused by long-term ingestion of fluoride during the time teeth are forming. Studies conducted in the 1930s showed that the severity of tooth decay was lower and dental fluorosis was higher in areas with more fluoride in the drinking water. In response to these findings, community water fluoridation programs were developed to add fluoride to drinking water to reach an optimal level for preventing tooth decay, while limiting the chance of developing dental fluorosis. By the 1980s, studies in selected U.S. communities reported an increase in dental fluorosis, paralleling the expansion of water fluoridation and the increased availability of other sources of ingested fluoride, such as fluoride toothpaste (if swallowed) and fluoride supplements. This report describes the prevalence of dental fluorosis in the United States and changes in the prevalence and severity of dental fluorosis among adolescents between 1986-1987 and 1999-2004. Data from the National Health and Nutrition Examination Survey, 1999-2004 and the 1986- 1987 National Survey of Oral Health in U.S. School Children." - p. 1Eugenio D. Beltra\ucc?n-Aguilar, Laurie Barker, and Bruce A. Dye.Cover title."June 2010.""CS218649.""T38041 11/2010."Also available via the World Wide Web.Includes bibliographical references (p. 7).Beltra\ucc?n-Aguilar ED, Barker L, Dye BA. Prevalence and severity of dental fluorosis in the United States, 1999-2004. NCHS data brief, no 53. Hyattsville, MD: National Center for Health Statistics. 2010

ORGANIZATIONAL TRUST, TEACHERS' SELF-EFFICACY AND SCHOOL CULTURE: A STRUCTURAL EQUATION MODEL ON PROFESSIONAL LEARNING COMMUNITIES AMONG PUBLIC ELEMENTARY SCHOOLS IN REGION XI

This research journey attempted to investigate the impact of organizational trust, teachers’ self-efficacy, and school culture on professional learning communities in public elementary schools using Structural Equation Modeling (SEM) to 400 elementary school teachers in Davao Region, Philippines. Findings revealed very high levels of Organizational Trust, Teacher Self-Efficacy, School Culture, and Professional Learning Communities. There were significant correlations between Organizational Trust, Teacher Self-Efficacy, School Culture, and Professional Learning Organization. Further, results showed that the best fit model was model 3 showing the direct causal relationships of Organizational Trust, Teacher Self-efficacy, and School Culture on Professional Learning Communities. Furthermore, structure modifications revealed that Professional Learning Communities were defined by their retained indicators, namely: Collective Learning and Application, and Supportive Conditions – Relationships. On the other hand, Organizational Trust was described by its domains: Affect-Based Trust, and Cognition-Based Trust while Teacher Self-Efficacy was determined by its retained indicators, namely: Classroom Management and Student Engagement. Finally, School Culture was measured by its domains: Affiliative Collegiality and Professional Collaboration. The findings of the study could be a significant baseline for faculty development programs of educational institutions.  Article visualizations