Let F= (f, g) : R2 → R2 be a polynomial map such that det DF(x) is different from zero for all x ∈ R2. We assume that the degrees of f and g are equal. We denote by f and G the homogeneous part of higher degree of f and g, respectively. In this note we provide a proof relied on qualitative theory of differential equations of the following result: If f and g do not have real linear factors in co...

The paper takes as its starting point the observation in the discussion paper that higher education can enhance social inclusion and reduce social and economic disadvantage by deepening our understanding of health and social issues and by providing access to higher levels of learning to people from all backgrounds (Commonwealth of Australia, 2008b: 1). The paper argues that the current Australi...

We derive formulas for the terms in the conjectured asymptotic expansions of the moments, at the central point, of quadratic Dirichlet L-functions, L(1/2, χd), and also of the L-functions associated to quadratic twists of an elliptic curve over Q. In so doing, we are led to study determinants of binomial coefficients of the form det Ä( 2k−i−λk−i+1 2k−2j )ä .

The Parity Theorem says that whenever an even (resp. odd) permutation is expressed as a composition of transpositions, the number of transpositions must be even (resp. odd). The purpose of this article is to give a simple definition of when a permutation is even or odd, and develop just enough background to prove the parity theorem. Several examples are included to illustrate the use of the not...

The present German soc~J secul.lty pension system, maugurated m 1957, mcorporetes rm mdexmg-of-earnmgs process that has generated nxcreasmg mtewt m recent years Because of this mterest m the details of the warlugs of the process, It IS described here When the German vorker retxes, lus hfetune earnmgs record (average annual wage) 1s established and then calculated as a percentage of R standard n...

The spatial repellency responses of Aedes aegypti (L.) to deet, dehydrolinalool and linalool were evaluated using a dual port olfactometer. In the absence of human attractant mixture, each of the three chemicals resulted in activation and/or orientation of mosquitoes to the chemical source. Linalool was the most attractive compound. In the presence of human attractant mixture, activation and/or...

The laboratory rabbit was evaluated as a model for screening topical mosquito repellents, using data obtained in tests of deet (N,N-diethyl-3-methylbenzamide) against Aedes aegypti on humans and rabbits. Host-specific differences in the action of the test material were quantified by multiple regression analysis. The test material was less effective but more persistent in tests on rabbits, and r...

I denna artikel beskrivs en syntaktiskt grundlagd semantisk skiftning hos den svenska verbala pseudosamordningen hålla på och som används som progressivitetsmarkör. I vissa kontexter får den en närmast motsatt betydelse, nämligen ‘hela tiden’. Sökningar i den svenska PAROLE-korpusen samt i en liten svensk-tjeckisk parallellkorpus visar att den nya betydelsen framför allt är kopplad till negativ...

In this paper we discuss the phenomenon of Object Shift in Norwegian, and we show that this operation is more complex and discourse related than what has traditionally been assumed. We argue that Object Shift cannot be accounted for in a purely prosodic approach. Rather, we demonstrate that a common denominator for all objects undergoing Object Shift is that they are topics. We thus propose tha...

In very-high-energy nuclear collisions, the initial energy of produced gluons per unit area per unit rapidity, (dE/L2)/deta, is equal to f(g(2)&mgr;L) (g(2)&mgr;)(3)/g(2), where &mgr;(2) is proportional to the gluon density per unit area of the colliding nuclei. For an SU(2) gauge theory, a nonperturbative computation of f(g(2)&mgr;L) shows that it varies rapidly for small g(2)&mgr;L but varies...