For each n 2 3, we present a family of Riemannian metrics g on W” such that each Riemannian manifold M” = (IT’, g) has positive bottom of the spectrum of Laplacian A, (M”) > 0 and bounded geometry 1 K 1 < C but M” admits no non-constant bounded harmonic functions. These Riemannian manifolds mentioned above give a negative answer to a problem addressed by Schoen-Yau [ 181 in dimension n > 3.

BACKGROUND The number of people entering specialist drug treatment for cannabis problems has increased considerably in recent years. The reasons for this are unclear, but rising cannabis potency could be a contributing factor. METHODS Cannabis potency data were obtained from an ongoing monitoring programme in the Netherlands. We analysed concentrations of δ-9-tetrahydrocannabinol (THC) from t...

A long-standing conjecture is that any transitive finite projective plane is Desarguesian. We make a contribution towards a proof of this conjecture by showing that a group acting transitively on the points of a non-Desarguesian projective plane must not contain any components. 1 Background definitions and main results We say that a projective plane is transitive (respectively primitive) if it ...

The generalized Fitting height of a finite group G is the least number h = h∗(G) such that F ∗ h (G) = G, where the F ∗ i (G) is the generalized Fitting series: F ∗ 1 (G) = F ∗(G) and F ∗ i+1(G) is the inverse image of F ∗(G/F ∗ i (G)). It is proved that if G admits a soluble group of automorphisms A of coprime order, then h∗(G) is bounded in terms of h∗(CG(A)), where CG(A) is the fixed-point s...

INTRODUCTION The last few years have witnessed rapid scaling-up of key malaria interventions in several African countries following increases in development assistance. However, there is only limited country-specific information on the health impact of expanded coverage of these interventions. METHODS Paediatric admission data were assembled from 4 hospitals in Malawi reflecting different mal...

We aimed to determine if the appointment of a Huntington's disease (HD) nurse specialist has influenced inpatient admission rates and admission quality at Auckland Hospital. We collated HD inpatient admission data for the 32 months before and after her appointment and compared the quality of cognition, mood, speech/swallowing and safety assessments between admissions where the nurse was and was...

We prove that an arbitrary (not necessarily countably generated) Hilbert G −A module on a G − C∗ algebra A admits an equivariant embedding into a trivial G−A module, provided G is a compact Lie group and its action on A is ergodic.

This paper gives a new and constructive proof of Poizat's theorem that the theory of algebraically closed fields admits elimination of imaginaries. The proof uses ideas of definability for properties and operations on definable sets. In addition, the property of being finite in an algebrically closed field, as well as the property of having a given algebraic dimension are shown to be definable ...

It is shown that the union of a sequence T1, T2, . . . of R-bounded sets of operators from X into Y with R-bounds τ1, τ2, . . ., respectively, is Rbounded if X is a Banach space of cotype q, Y a Banach space of type p, and ∑ ∞ k=1 τ r k <∞, where r = pq/(q−p) if q <∞ and r = p if q =∞. Here 1 ≤ p ≤ 2 ≤ q ≤ ∞ and p 6= q. The power r is sharp. Each Banach space that contains an isomorphic copy of...

We welcome the Global Initiative for Asthma (GINA) Asthma Challenge outlined in the recent editorial by FITZGERALD et al. [1], which discussed the goal of achieving a 50% reduction in hospital admissions due to asthma over the next 5 yrs. However, successfully addressing this challenge requires an understanding of the complex nature of asthma. Our evolving understanding of asthma shows it to be...