Combinatorics of rational functions and Poincare-Birkhoff-Witt expansions of the canonical U(n-)-valued differential form

We study the canonical U(n-)-valued differential form, whose projections to different Kac-Moody algebras are key ingredients of the hypergeometric integral solutions of KZ-type differential equations and Bethe ansatz constructions. We explicitly determine the coefficients of the projections in the simple Lie albegras A_r, B_r, C_r, D_r in a conviniently chosen Poincare-Birkhoff-Witt basis. As a byproduct we obtain results on the combinatorics of rational functions, namely non-trivial identities are proved between certain rational functions with partial symmetries.Comment: More typos correcte

The year 1970-a "modest" beginning for monetary aggregates

Monetary policy - United States

ExpandED Schools National Demonstration: Lessons for Scale and Sustainability

Can schools and community organizations come together to provide children with critical enrichment activities that enhance knowledge and expand horizons beyond core academics during the school day? This report by Policy Studies Associates, Inc., highlights some ways in which they might.The report investigates schools' use of the ExpandED Schools model, which seeks to use partnerships between public schools, community organizations and intermediary organizations to increase enrichment opportunities for children. In the model, regular school staffers focus largely on core academics, while a community-based organization offers enrichment activities during expanded school hours. A third, intermediary organization often coordinates and supports the effort.Researchers studied the use of this model in 10 schools in three cities—New York City, Baltimore and New Orleans—over four years. In this report, they identify the parts of the model that were easiest for the schools to implement, parts that proved more challenging and strategies schools used to overcome hurdles along the way.It finds that the partnerships were generally most successful in adding new activities to an expanded school day and were able to coordinate efforts between school staff and community organizations. But many schools struggled to find reliable sources of funding and to use data to drive programming and instruction

The supercuspidal representations of p-adic classical groups

Let G be a unitary, symplectic or special orthogonal group over a locally compact non-archimedean local field of odd residual characteristic. We construct many new supercuspidal representations of G, and Bushnell-Kutzko types for these representations. Moreover, we prove that every irreducible supercuspidal representation of G arises from our constructions.Comment: 55 pages -- minor changes from 1st version (mostly in sections 2.2, 4.2 and 6.2). To appear in Inventiones mathematicae, 2008 (DOI is not yet active as at 12 Nov 2007

National Evaluation of the Capacity Building Programme in English Local Government: Annex 4: Follow On Study of Progress in Seven Case Study Improvement Partnerships

This report is one of a series of outputs from the national evaluation of the Capacity Building Programme for local government in England (CBP), being undertaken by a team of researchers at the Policy Research Institute (PRI) at Leeds Metropolitan University and the Cities Research Unit at the University of West of England. This report summarises the findings from the second phase of fieldwork with regional and sub-regional Improvement Partnerships, established to facilitate capacity building and improvement activity in local authorities. The research underpinning this report was undertaken in seven case study Improvement Partnerships (see Section 2) in October and November 2006 and follows a similar – baseline – exercise undertaken during the same period during 2005. It thus both draws on the earlier research (see Section 3) and identifies evidence of progress and impact (see Section 10) since the baseline phase

Internally coated air-cooled gas turbine blading

Ten candidate modified nickel-aluminide coatings were developed using the slip pack process. These coatings contain additives such as silicon, chromium and columbium in a nickel-aluminum coating matrix with directionally solidified MAR-M200 + Hf as the substrate alloy. Following a series of screening tests which included strain tolerance, dynamic oxidation and hot corrosion testing, the Ni-19A1-1Cb (nominal composition) coating was selected for application to the internal passages of four first-stage turbine blades. Process development results indicate that a dry pack process is suitable for internal coating application resulting in 18 percent or less reduction in air flow. Coating uniformity, based on coated air-cooled blades, was within + or - 20 percent. Test results show that the presence of additives (silicon, chromium or columbium) appeared to improve significantly the ductility of the NiA1 matrix. However, the environmental resistance of these modified nickel-aluminides were generally inferior to the simple aluminides

National Evaluation of the Capacity Building Programme in English Local Government: Annex 1. Seven Case Studies: The Pilot Programme

This report presents the findings of the evaluation of the Capacity Building pilots. The evaluation of the pilots is part of the on-going evaluation of the Capacity Building Programme and has been undertaken in the early scoping phase of the main evaluation in order to capture key learning points and insights into the programme. It is intended that the ongoing evaluation of the Capacity Building Programme will be formative and assist in the development of the programme over time. In what follows the background to the pilots programme is discussed, highlighting the kinds of capacity building activities the pilots are engaged with and the link between the Capacity Building Programme and the CPA. The report outlines the structure and purpose of the pilots programme and the nature and characteristics of the different pilots that were undertaken. The seven case studies are then discussed in more detail in the main body of 1 Introduction | 5 the report. These are drawn together in key themes and findings which can be used to strengthen future project development

National Evaluation of the Capacity Building Programme in English Local Government: Overall Final Report

This report is one of a series of outputs from the National Evaluation of the Capacity Building Programme for local government in England (CBP), undertaken by a team of researchers at the Policy Research Institute (PRI) at Leeds Metropolitan University and the Cities Research Unit at the University of West of England. This report summarises the findings from all four key strands of the evaluation. Because of the difficulties associated with quantifying the capacity of local authorities, much less the sector, in relation to the dynamic roles and objectives that they pursue, the report focuses on what has worked, why and in what circumstances, rather than providing a definitive assessment of the extent of change of capacity building enabled by the CBP. The CBP was launched in 2003 as a joint Department for Communities and Local Government/Local Government Association (LGA) initiative to support capacity building and improvement activities within local authorities in England. The CBP has supported four main streams of improvement and capacity building activity in local authorities (see Section 1.2; p13)