Given a function ψ in L2(Rd), the affine (wavelet) system generated by ψ, associated to an invertible matrix a and a lattice Γ, is the collection of functions {| det a|j/2ψ(ajx−γ) : j ∈ Z, γ ∈ Γ}. In this article we prove that the set of functions generating affine systems that are a Riesz basis of L2(Rd) is dense in L2(Rd). We also prove that a stronger result is true for affine systems that a...

BACKGROUND Predictive clinical scores, diagnostic as well as prognostic, are considered to be useful tools for making decisions under conditions of uncertainty. They are not intended to replace clinical judgment or medical experience, but to help physicians in the interpretation of clinical information. The general practitioner (GP), the gateway to care in the French health system, should be th...

We establish universality of local eigenvalue correlations in unitary random matrix ensembles 1 Zn | det M | 2α e −ntr V (M) dM near the origin of the spectrum. If V is even, and if the recurrence coefficients of the orthogonal polynomials associated with |x| 2α e −nV (x) have a regular limiting behavior, then it is known from work of Akemann et al., and Kanzieper and Freilikher that the local ...

The geometric structure of theories with gauge fields of spins two and higher should involve a higher spin generalisation of Riemannian geometry. Such geome-tries are discussed and the case of W ∞-gravity is analysed in detail. While the gauge group for gravity in d dimensions is the diffeomorphism group of the space-time, the gauge group for a certain W-gravity theory (which is W ∞-gravity in ...

A stud y to determine whether there are any significant difTerences in perspectives of IT and business managers wit h regard to the factors which contribute to successfu l strategic ali gnment using Henderson and venkatraman's strategic ali gnment model as the research framework has been rcported .. A general survey was undertaken over a range of industrics and resu lt s indicate th at the two ...

In(ρ) = 1 N log det (ΣnΣ ∗ n + ρIN ) , (ρ > 0) where Σn = n−1/2D 1/2 n XnD̃ 1/2 n + An, as the dimensions of the matrices go to infinity at the same pace. Matrices Xn and An are respectively random and deterministic N ×n matrices; matrices Dn and D̃n are deterministic and diagonal, with respective dimensions N×N and n×n; matrixXn = (Xij) has centered, independent and identically distributed entri...

Abrasion of repellent-treated human skin affected the efficacy of a sustained-release insect repellent containing N,N-diethyl-3-methylbenzamide (deet) against bites of Aedes aegypti. Skin treated with repellent when abraded up to 30 times showed significantly lower protection than unabraded skin against mosquito bites for 10 h. The mean value of the kinetic coefficient of friction during skin a...

The COP9 signalosome (CSN) was originally identified based on the constitutively photomorphogenic/de-etiolated/fusca (cop/det/fus) mutants from Arabidopsis thaliana. CSN is evolutionary conserved, and its subunit 5 (CSN5) mediates the deconjugation of NEDD8 from the cullin subunit of E3 ubiquitin ligases (deneddylation). Here, we report on Arabidopsis mutants deficient in CSN5 function. We show...

In this paper we determine the structure of the natural Ũ(n, n) module Ωp,q(l) which is the Howe quotient corresponding to the determinant character det of U(p, q). We first give a description of the tempered distributions on Mp+q,n(C) which transform according to the character det−l under the linear action of U(p, q). We then show that after tensoring with a character, Ωp,q(l) can be embedded ...

We consider diierence equations y(s + 1) = A(s)y(s), where A(s) is an n n-matrix meromorphic in a neighborhood of 1 with det A(s) 6 6 0. In general, the formal fundamental solutions of this equation involve gamma-functions which give rise to the critical variable s log s and a level 1 +. We show that, under a mild condition, formal fundamental matrices of the equation can be summed uniquely to ...