where x(t), y(t) and z(t) are differentiable functions in t. The vector ċ is called tangent vector. A curve point c(t0), t0 ∈ I is called regular if ċ(t0) 6= o. A parametrization is called regular, if ċ(t) 6= o for all t ∈ I. Any differentable change of the parameter τ = τ(t) does not change the curve. Moreover, if τ̇ 6= 0 in I then d(t) = c(τ(t)) is also a regular parametrization. A curve which...

We find a necessary and sufficient condition for a compact 7-manifold to admit a G̃2-structure. As a result we find a sufficient condition for an open 7-manifold to admit a closed 3-form of G̃2-type.

Data from the Oxford Record Linkage Study have been used to describe rates of accident repetition for children aged under 5 years. As reflected by hospital admissions, accident rates for children who have already had one accident were approximately twice those of children of the same age and sex who had previously been accident free.

In the present paper, we construct a nongeometric pro-p Galois section of a proper hyperbolic curve over a number field, as well as over a p-adic local field. This yields a negative answer to the pro-p Section Conjecture. We also observe that there exists a proper hyperbolic curve over a number field which admits infinitely many conjugacy classes of pro-p Galois sections.

This article describes a preliminary study of the effects of State rate-setting programs on volumes of hospital services, specifically admission rates, occupancy levels, and average lengths of stay. A volume response to rate-setting may be anticipated as a result of program effects on hospital costs or charges as well as on hospitals' behavioral incentives. We analyzed data for samples of hospi...

The object of the present paper is to investigate the applications of pseudo cyclic Ricci symmetric manifolds admitting a semi-symmetric metric connection to the general relativity and cosmology.

We prove that every Banach space that admits a Markushevich basis also admits a bounded Markushevich basis.

We study traveling fronts of equations of the form u(tt)+phi(u)u(x)=u(xx)+f(u). A criterion for the transition from linear to nonlinear marginal stability is established for positive functions phi(u) and for any reaction term f(u) for which the usual parabolic reaction diffusion equation u(t)=u(xx)+f(u) admits a front. As an application, we treat reaction diffusion systems with transport memory.

Asthma remains the second most common cause for admissions to a paediatric hospital bed. The aim of this study was to describe the characteristics of children admitted to hospital with an acute asthma attack and to identify factors that may prevent future hospital admissions. Parents of all children aged 3 to 15 years admitted to hospital for acute asthma were interviewed and the child's case r...