Inverse scattering results for manifolds hyperbolic near infinity

We study the inverse resonance problem for conformally compact manifolds which are hyperbolic outside a compact set. Our results include compactness of isoresonant metrics in dimension two and of isophasal negatively curved metrics in dimension three. In dimensions four or higher we prove topological finiteness theorems under the negative curvature assumption.Comment: 25 pages. v3: Minor corrections, references adde

A national UK survey of peripatetic support teams for children and adults with intellectual and developmental disability who display challenging behaviour

Background: The service provision model of peripatetic support teams for people with intellectual disabilities who present challenging behaviour has been well established in the United Kingdom, with a small but growing evidence base. The current context in the UK would appear to indicate an ever-increasing role for such teams, in order to support people in their own communities and reduce the reliance on out-of-area placements. This study sought to establish the current position of such teams within the UK. Method and materials: 46 teams were given the opportunity to complete an online questionnaire regarding the team's day to day functioning. Results: 20 services responded to the survey providing a range of data. The results suggested that the services were mainly targeted towards adults, had a range of working practices and therapeutic orientations, with broadly successful outcomes (albeit self reported). The data would also suggest that this type of provision had diminished in recent years. Conclusions: The implications of the survey are discussed within the context of the current policy in the UK. In particular, the lack of provision for children, the use of evidence based practice and what appears to be a diminishing resource just at the time when it is most needed are explored

Preventing childhood obesity by reducing consumption of carbonated drinks: cluster randomised controlled trial

Objective To determine if a school based educational programme aimed at reducing consumption of carbonated drinks can prevent excessive weight gain in children. Design Cluster randomised controlled trial. Setting Six primary schools in southwest England. Participants 644 children aged 7-11 years. Intervention Focused educational programme on nutrition over one school year. Main outcome measures Drink consumption and number of overweight and obese children. Results Consumption of carbonated drinks over three days decreased by 0.6 glasses (average glass size 250 ml) in the intervention group but increased by 0.2 glasses in the control group (mean difference 0.7, 95% confidence interval 0.1 to 1.3). At 12 months the percentage of overweight and obese children increased in the control group by 7.5%, compared with a decrease in the intervention group of 0.2% (mean difference 7.7%, 2.2% to 13.1%). Conclusion A targeted, school based education programme produced a modest reduction in the number of carbonated drinks consumed, which was associated with a reduction in the number of overweight and obese children

Lanthanide Ionization Energies and the Sub-Shell Break. Part 2. The Third and Fourth Ionization Energies

By interpolating a 4fq6s → 4fq7s transition within the sequence f1 → f14 rather than between f0 and f14, revised third and fourth ionization energies of the lanthanides have been obtained. The revised values, together with the second ionization energies calculated in a previous paper, are used to calculate values of the standard enthalpies of formation of the gaseous tripositive ions, ΔfHƟ(M3+,g), and of the lattice and hydration enthalpies of some lanthanide compounds and ions in the trivalent and tetravalent states. The displacements of f0 values from nearly smooth f1 → f14 variations exceed 30 kJ mol-1 and indicate substantial subshell breaks

Valencies of the lanthanides

The valencies of the lanthanides vary more than was once thought. In addition to valencies associated with a half-full shell, there are valencies associated with a quarter- and three-quarter-full shell. This can be explained on the basis of Slater’s theory of many-electron atoms. The same theory explains the variation in complexing constants in the trivalent state (the “tetrad effect”). Valency in metallic and organometallic compounds is also discussed