Subresultants in multiple roots: an extremal case

We provide explicit formulae for the coefficients of the order-d polynomial subresultant of (x-\alpha)^m and (x-\beta)^n with respect to the set of Bernstein polynomials \{(x-\alpha)^j(x-\beta)^{d-j}, \, 0\le j\le d\}. They are given by hypergeometric expressions arising from determinants of binomial Hankel matrices.Comment: 18 pages, uses elsart. Revised version accepted for publication at Linear Algebra and its Application

Hoon Driving Behaviour: Prevalence, Associated Characteristics and Crashes

The use of vehicles in an antisocial, 'loutish' and dangerous manner constitutes the phenomenon of hooning, a risky behaviour with heightened concern for Australian roads (Folkman, 2005; Jarred, 2002). The concern has been highlighted by extensive media attention particularly from local newspapers within Australian states and territories (see 'Hoons need for speed and danger', 2006; Ferguson, 2006; 'Hoons go for a joyride', 2006). There has also been general observations made by police and traffic groups as to the related components of hooning (e.g. Folkman, 2005; Jarred, 2002) although the amount of accessible published documents is minimal. Thus, hooning may lead to on road accidents and warrants research to identify its related factors

New q-Euler numbers and polynomials associated with p-adic q-integrals

In this paper we study q-Euler numbers and polynomials by using p-adic q-fermionic integrals on Z_p. The methods to study q-Euler numbers and polynomials in this paper are new.Comment: 13 page

Commentary on three papers

Let me start with “The Slump, the Recovery, and the New Normal” by Edmund Phelps. With this stone, I would like to hope that I am killing two birds: Ned Phelps’s paper is, in part, a non-mathematical version of the “Macroeconomic Effects of Over-Investment in Housing in an Aggregative Model of Economic Activity”, written by Hian Teck Hoon. The first paper is in words; the second has some words and, in parts, some Hamiltonians. Both papers are extraordinarily stimulating. Both bear on the issues of the day. A key thing to say, and admire, about the first paper is the fact that in a fairly readable way — not that it will be an effortless read for the non-economist — it addresses the great macroeconomic issue of our time. Why did the remarkable financial crisis of the first decade of the 2000s come about, and what happens next? Phelps begins by pointing out that we experienced a major contraction before in the post-war era, namely, during the severe downturn that began around the mid 1970s and took unemployment levels to a frightening point seen by few living worker (in my country, the UK, unemployment was 12% of the labour force by the year 1983). That crisis took place as I was in the middle of college; it encouraged in me an interest in economics

Initial data to vacuum Einstein equations with asymptotic expansion

Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.Includes bibliographical references (leaf 92).by Sang Hoon Chin.Ph.D

A BGG-type resolution for tensor modules over general linear superalgebra

We construct a Bernstein-Gelfand-Gelfand type resolution in terms of direct sums of Kac modules for the finite-dimensional irreducible tensor representations of the general linear superalgebra. As a consequence it follows that the unique maximal submodule of a corresponding reducible Kac module is generated by its proper singular vector.Comment: 11pages, LaTeX forma

Biopython: freely available Python tools for computational molecular biology and bioinformatics

Summary: The Biopython project is a mature open source international collaboration of volunteer developers, providing Python libraries for a wide range of bioinformatics problems. Biopython includes modules for reading and writing different sequence file formats and multiple sequence alignments, dealing with 3D macro molecular structures, interacting with common tools such as BLAST, ClustalW and EMBOSS, accessing key online databases, as well as providing numerical methods for statistical learning. Availability: Biopython is freely available, with documentation and source code at www.biopython.org under the Biopython license. Contact: All queries should be directed to the Biopython mailing lists, see www.biopython.org/wiki/[email protected]