Lattice polytopes having h^*-polynomials with given degree and linear coefficient

The h^*-polynomial of a lattice polytope is the numerator of the generating function of the Ehrhart polynomial. Let P be a lattice polytope with h^*-polynomial of degree d and with linear coefficient h^*_1. We show that P has to be a lattice pyramid over a lower-dimensional lattice polytope, if the dimension of P is greater or equal to h^*_1 (2d+1) + 4d-1. This result has a purely combinatorial proof and generalizes a recent theorem of Batyrev.Comment: AMS-LaTeX, 9 pages; introduction improve

New Results in Light-Front Phenomenology

The light-front quantization of gauge theories such as QCD in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitarity, and a trivial vacuum. The freedom to choose the light-like quantization four-vector provides an explicitly covariant formulation of light-front quantization and can be used to determine the analytic structure of light-front wave functions and to define a kinematical definition of angular momentum. The AdS/CFT correspondence of large $N_C$ supergravity theory in higher-dimensional anti-de Sitter space with supersymmetric QCD in 4-dimensional space-time has interesting implications for hadron phenomenology in the conformal limit, including an all-orders demonstration of counting rules for exclusive processes. String/gauge duality also predicts the QCD power-law behavior of light-front Fock-state hadronic wavefunctions with arbitrary orbital angular momentum at high momentum transfer. The form of these near-conformal wavefunctions can be used as an initial ansatz for a variational treatment of the light-front QCD Hamiltonian. I also briefly review recent analyses which shows that some leading-twist phenomena such as the diffractive component of deep inelastic scattering, single-spin asymmetries, nuclear shadowing and antishadowing cannot be computed from the LFWFs of hadrons in isolation.Comment: Presented at LightCone 2004, Amsterdam, The Netherlands, 16-20 August 200

A construction of semisimple tensor categories

Starting from an abelian category A such that every object has only finitely many subobjects we construct a semisimple tensor category T. We show that T interpolates the categories Rep(Aut(p),K) where p runs through certain projective (pro-)objects of A. The main example is A=finite dimensional F_q-vector spaces. Then T can be considered as the category of representations of GL(n,F_q) where n is not a natural number. This work extends a construction of Deligne for symmetric groups.Comment: v1: 6 pages; v2: 6 pages, slightly shortened, minor change

The risk and resilience framework and its implications for teachers and schools.

Risk and resilience theory and research are presented according to Stanley's (2003a) framework and the implications for teachers and schools are identified. Findings in the field make clear that those who are closest to children can reduce risk, enhance competence and prevent problem development, and by these means promote the attainments and wellbeing of the young people for whom they have a duty of care. Some critique of the risk and resilience framework is also offered

Balancing Local Assessment and Statewide Testing: Building a Program that Meets Student Needs

This document discusses the components of assessment for those who are considering adding local assessments to required statewide testing of K-12 students. These components include technical adequacy, local-level opportunity, and how to link to state and local standards. Attributes of a model local assessment program are discussed and examples are given. There are also four key questions evaluators and teachers should ask themselves if they are considering a local-level assessment, including the cost feasibility. Educational levels: Graduate or professional

A Modern Natural Theology?

The author examines two different traditions of nineteenth-century natural theology and their reappearance in a modern work. Michael Denton\'s Nature\'s Destiny is used as an example of modern natural theology, showing how current writers attempt to resurrect the classical arguments of William Paley and William Whewell. The stance taken here is that, due to the heavily historical character of Foley\'s and Whewell\'s work, it is inappropriate to use their traditions uncritically as windows into religious understandings of science

Social aspects of Siggiewi : 1530-1798

This paper presents an overview of developments in the life of the village of Siggiewi - a typical Maltese village - during the Knights' period with special emphasis on how the villagers' life is affected. It places these developments in the context of the principal events that moulded the islands' history- the arrival of the Order, the Great Siege, visitations of plague, improved economic conditions - and how these left their mark and were reflected in village life.peer-reviewe