OBJECTIVE To perform an exploratory analysis of the relative contribution of single MHC genes to the pathogenesis of systemic lupus erythematosus (SLE) in a homogenous white population. METHODS MHC class II alleles and C4 allotypes were determined in 64 SLE patients and in ethnically matched controls. HLA-DR and DQ typing was performed by polymerase chain reaction amplification with sequence ...

In this paper we discuss some problematic aspects of Newman’s modularity function QN . Given a graph G, the modularity of G can be written as QN = Qf −Q0, where Qf is the intracluster edge fraction of G and Q0 is the expected intracluster edge fraction of the null model, i.e., a randomly connected graph with same expected degree distribution as G. It follows that the maximization of QN must acc...

Draft: February 1, 2008 In the standard big bang model, the expansion rate of the Universe is predicted to slow down as the Universe evolves. ,2 The deceleration parameter, q0, measures the present deceleration rate. The deceleration causes a deviation from the linear relation between distance and red shift (the Hubble law) at large red shifts. A proposed approach for determining q0 is to measu...

1. Introduction The differential equation y00 ‡ qy ˆ Ey is called Hill's equation if q is a realvalued, periodic, locally integrable function of a real variable. It is very well known that the spectrum of the operator associated with this equation consists of a countably in®nite number of compact intervals of the real line. These intervals are called (spectral) bands and are generally separated...

Recently exact numerical results from the evolution equation for parton multiplicities in QCD jets have been obtained. A comparison with various approximate results is presented. A good description is obtained not only of the jet multiplicities measured at LEP-1 but also of the hadron multiplicities for cms energies above 1.6 GeV in eeannihilation. The solution suggests that a final state hadro...

In [CL99] Carlen and Lieb considered Minkowski type inequalities in the context of operators on a Hilbert space. More precisely, they considered the homogenous expression fpq(x1, ..., xn) = ( tr ( ( n ∑ k=1 x q k) p/q ))1/p defined for positive matrices. The concavity for q = 1 and p < 1 yields strong subadditivity for quantum entropy. We discuss the convexity of fpq and show that, contrary to ...

1. Invariants. A contact sub-Riemannian metric is a triple (X,∆, g) consisting of a (2n+ 1)-dimensional manifold X, a distribution ∆ on X, which is a contact structure, and a metric g on ∆. It defines a metric on X by measuring via g the length of smooth curves that are tangent to ∆. All the considerations in this paper are local: we consider only germs (X,∆, g)q0 at a fixed point q0. There are...

A time evolution of giant lobe-dominated radio galaxies (with projected linear size D > 1 Mpc for H0=50 km sMpc and q0=0.5) is analysed on the basis of dynamical evolution of the entire FRII-type population. Two basic physical parameters, namely the jet power Q0 and central density of the galaxy nucleus ρ0 are derived for a sample of giants with synchrotron ages reliably determined, and compare...