This is a companion paper of [Rou05]. It concentrates on asymptotic properties of determinants of some random matrices in the Jacobi ensemble. Let M ∈ Mn1+n2,r(R) (with r ≤ n1 + n2) be a random matrix whose entries are standard i.i.d. Gaussian. We can decompose MT = (MT 1 ,M T 2 ) with M1 ∈ Mn1,r and M2 ∈ Mn2,r. Then, W1 := MT 1 M1 and W2 := MT 2 M2 are independent r× r Wishart matrices with pa...

The Lifting Problem for Commuting Subnormals (LPCS) asks for necessary and sufficient conditions for a pair of subnormal operators on Hilbert space to admit commuting normal extensions. Given a 2-variable weighted shift T with diagonal core, we prove that LPCS is soluble for T if and only if LPCS is soluble for some power Tm (m ∈ Z+,m ≡ (m1,m2),m1,m2 ≥ 1). We do this by first developing the bas...

OBJECTIVES The purpose of this study was to assess exposure to fat aerosols and aldehydes in kitchens and to study the variations in exposure between different types of kitchen. METHODS Measurements were made in four hotel kitchens, two hamburger chain restaurants, 10 à la carte restaurants and three small local restaurants serving mostly fried food. The measurements were performed as persona...

—An understanding of the spatial distribution of forage fish resources is required to make informed fishery management decisions. We used mobile hydroacoustics to assess the distribution and abundance of forage fish in Badin Lake, a reservoir in central North Carolina. By sampling a series of cross-channel and longitudinal transects and analyzing the data using geostatistics, we characterized b...

Negative-stranded virion RNA and oligonucleotide primers complementary to fusion (F) protein gene sequences were used to generate cDNA clones, revealing that the gene 5'-proximal to the F protein corresponded to the M2 (22K) gene, as in respiratory syncytial (RS) virus. The transcription start signal, GGGACAAGU, was identical to that of the F and matrix (M) proteins of turkey rhinotracheitis vi...

and consider continued radicals of form limn→∞ Sn = √ a1, a2, a3, . . . . Convergence criteria for continued radicals are given in [2], and [3]. We consider the sets S(M) of real numbers which are representable as a continued radical whose terms a1, a2, . . . are all from a finite set M = {m1,m2, . . . ,mp} ⊆ N where 0 < m1 < m2 < · · · < mp. For any nonnegative number n, √ n, n, n, . . . conve...

The mechanism of amantadine binding to the S31 variant of the M2 protein of Influenza A is well understood, but the reasons behind N31 M2 amantadine insensitivity remain under investigation. Many molecular dynamics studies have evaluated the influence of amantadine position within the channel pore on its ability to inhibit proton conductance in M2, but little is known about the influence of ama...

We investigate the problem of nding monoids that recognize languages of the form L1 T L2, where T is an arbitrary set of trajectories. Thereby, we describe two such methods: one based on the so called trajectories monoids and the other based on monoids of matrices. Many well-known operations such as catenation, bi-catenation, shu e, literal shu e and insertion are just particular instances of t...

In this work, we consider the initial boundary value problem for the Kirchhoff-type equations with damping and source terms  utt +M (∫ Ω ∣∣∣(−△)m2 u∣∣∣2 dx) (−△) u+ |ut| ut = f1 (u, v) , vtt +M (∫ Ω ∣∣∣(−△)m2 v∣∣∣2 dx) (−△) v + |vt| vt = f2 (u, v) in a bounded domain. We prove the blow up of the solution with positive initial energy by using the technique of [26] with a modification in th...