Continuous functions on products of compact Hausdorff spaces

We investigated the spaces of continuous functions on countable products of compact Hausdorff spaces. Our main object here is to extend the discussion to arbitrary products of compact Hausdorff spaces. We prove the following theorems in Section 3

Cosmological and Solar-System Tests of f(R) Modified Gravity

We investigate the cosmological and the local tests of the f(R) theory of modified gravity via the observations of (1) the cosmic expansion and (2) the cosmic structures and via (3) the solar-system experiments. To fit the possible cosmic expansion histories under consideration, for each of them we reconstruct f(R), known as "designer f(R)". We then test the designer f(R) via the cosmic-structure constraints on the metric perturbation ratio Psi/Phi and the effective gravitational coupling G_eff and via the solar-system constraints on the Brans-Dicke theory with the chameleon mechanism. We find that among the designer f(R) models specified by the CPL effective equation of state w_eff, only the model closely mimicking general relativity with a cosmological constant (LambdaCDM) can survive all the tests. Accordingly, these tests rule out the frequently studied "w_eff = -1" designer f(R) models which are distinct in cosmic structures from LambdaCDM. When considering only the cosmological tests, we find that the surviving designer f(R) models, although exist for a variety of w_eff, entail fine-tuning.Comment: 22 pages, 9 figures, LaTe

Estimating a preference-based index from the Clinical Outcomes in Routine Evaluation - Outcome Measure (CORE-OM): valuation of CORE-6D

Background: The Clinical Outcomes in Routine Evaluation - Outcome Measure (CORE-OM) is used to evaluate the effectiveness of psychological therapies in people with common mental disorders. The objective of this study was to estimate a preference-based index for this population using CORE-6D, a health state classification system derived from CORE-OM consisting of a 5-item emotional component and a physical item, and to demonstrate a novel method for generating states that are not orthogonal. Methods: Rasch analysis was used to identify 11 plausible ‘emotional’ health states from CORE-6D (rather than conventional statistical design that would generate implausible states). By combining these with the 3 response levels of the physical item of CORE-6D, 33 plausible health states can be described, of which 18 were selected for valuation. An interview valuation survey of 220 members of public in South Yorkshire, UK, was undertaken using the time-trade-off method to value the 18 health states; regression analysis was subsequently used to predict values for all possible states described by CORE-6D. Results: A number of multivariate regression models were built to predict values for the 33 plausible health states of CORE-6D, using the Rasch logit value of the emotional health state and the response level of the physical item as independent variables. A cubic model with high predictive value (adjusted R squared 0.990) was finally selected, which can be used to predict utility values for all 927 states described by CORE-6D. Conclusion: The CORE-6D preference-based index will enable the assessment of cost-effectiveness of interventions for people with common mental disorders using existing and prospective CORE-OM datasets. The new method for generating states may be useful for other instruments with highly correlated dimensions

Using Rasch analysis to form plausible health states amenable to valuation: the development of CORE-6D from CORE-OM in order to elicit preferences for common mental health problems

Purpose: To describe a new approach for deriving a preference-based index from a condition specific measure that uses Rasch analysis to develop health states. Methods: CORE-OM is a 34-item instrument monitoring clinical outcomes of people with common mental health problems. CORE-OM is characterised by high correlation across its domains. Rasch analysis was used to reduce the number of items and response levels in order to produce a set of unidimensionally-behaving items, and to generate a credible set of health states corresponding to different levels of symptom severity using the Rasch item threshold map. Results: The proposed methodology resulted in the development of CORE-6D, a 2-dimensional health state description system consisting of a unidimensionally-behaving 5-item emotional component and a physical symptom item. Inspection of the Rasch item threshold map of the emotional component helped identify a set of 11 plausible health states, which, combined with the physical symptom item levels, will be used for the valuation of the instrument, resulting in the development of a preference-based index. Conclusions: This is a useful new approach to develop preference-based measures where the domains of a measure are characterised by high correlation. The CORE-6D preference-based index will enable calculation of quality adjusted life years in people with common mental health problems.Rasch analysis; health-related quality of life; condition-specific measure; preference-based health; health states; CORE-6D; CORE-OM; mental health; quality-adjusted life years

Global Strategic Studies: A Manifesto

This contribution reflects on the state of strategic studies today and the criticism it has received in recent years, as being outdated and irrelevant. The authors formulate some premises for reinvigorating this field of inquiry by widening its scope and research agenda to do more justice to the wide variety of actors, perspectives and practices observable in the enterprise of strategy in our contemporary globalised world

Stress-Energy Tensor Induced by Bulk Dirac Spinor in Randall-Sundrum Model

Motivated by the possible extension into a supersymmetric Randall-Sundrum (RS) model, we investigate the properties of the vacuum expectation value (VEV) of the stress-energy tensor for a quantized bulk Dirac spinor field in the RS geometry and compare it with that for a real scalar field. This is carried out via the Green function method based on first principles without invoking the degeneracy factor, whose validity in a warp geometry is a priori unassured. In addition, we investigate the local behavior of the Casimir energy near the two branes. One salient feature we found is that the surface divergences near the two branes have opposite signs. We argue that this is a generic feature of the fermionic Casimir energy density due to its parity transformation in the fifth dimension. Furthermore, we investigate the self-consistency of the RS metric under the quantum correction due to the stress-energy tensor. It is shown that the VEV of the stress-energy tensor and the classical one become comparable near the visible brane if k ~ M ~ M_Pl (the requirement of no hierarchy problem), where k is the curvature of the RS warped geometry and M the 5-dimensional Planck mass. In that case the self-consistency of RS model that includes bulk fields is in doubt. If, however, k <~ M, then an approximate self-consistency of the RS-type metric may still be satisfied.Comment: 7 pages with 2 figure

Strengthening rural health placements for medical students: Lessons for South Africa from international experience

Background. This article derives lessons from international experience of innovative rural health placements for medical students. It provides pointers for strengthening South African undergraduate rural health programmes in support of the government’s rural health, primary healthcare and National Health Insurance strategies.Methods. The article draws on a review of the literature on 39 training programmes around the world, and the experiential knowledge of 28 local and international experts consulted through a structured workshop.Results. There is a range of models for rural health placements: some offer only limited exposure to rural settings, while others offer immersion experiences to students. Factors facilitating successful rural health placements include faculty champions who drive rural programmes and persuade faculties to embrace a rural mission, preferential selection of students with a rural background, positioning rural placements within a broader rural curriculum, creating rural training centres, the active nurturing of rural service staff, assigning students to mentors, the involvement of communities, and adapting rural programmes to the local context. Common obstacles include difficulties with student selection, negative social attitudes towards rural health, shortages of teaching staff, a sense of isolation experienced by rural students and staff, and difficulties with programme evaluation.Conclusions. Faculties seeking to expand rural placements should locate their vision within new health system developments, start off small and create voluntary rural tracks, apply preferential admission for rural students, set up a rural training centre, find practical ways of working with communities, and evaluate the educational and clinical achievements of rural health placements

Indigenous fruit trees and fruits in Zimbabwe: some preliminary results from a survey 1993-94

A research survey on the trees and nutritious value of the indigenous fruits of Zimbabwe.Indigenous fruits have long been collected from the wild and formed part of the diet. Their importance is greatest in drought seasons because of the drought tolerance of the trees which bear them. As part of a programme on the development of drought- tolerant fruit tree crops a survey on indigenous fruits was conducted in 1993/94 with the help of the Agricultural Technical and Extension Services (AGRITEX). Uapaca kirkiana (Shona: muzhanje) and Strychnos species (Shona: mutamba, muzhumwi, man’ono, and hakwa) were found in almost all natural regions. Ziziphus mauritiana (Shona: musau) was confined to parts of Mashonaland. Sclerocarya birrea (Shona: mupfura or shomho) was mainly found in the drier areas. Most of the indigenous fruit trees are found in forests or grazing areas but the popularity of Ziziphus mauritiana, Azanza garkeana (Shona: mutohwe) Uapaca kirkiana, Strychnos sp., Ximenia sp., (Shona: tsvanzva or nhengeni) Ficus sp. and Vangueriopsis lanciflora (Shona: muganacha) is shown by their frequent presence around homesteads and in the main cultivated fields. Ziziphus mauritiana, Uapaca kirkiana and Berchemia (Shona: nyii) fruits are sold on local markets. The seasons of the fruits availability is spread throughout the year e.g. Ziziphus in winter, Uapaca, some Ficus and Strychnos in the spring and early summer and Vangueria and Sclerocarya in late summer and autumn. Azanza is eaten in summer in Natural Region (NR) V and in winter and winter-spring in NR III and IV. Despite their consumption most of the people surveyed were less interested in the indigenous fruits than in the conventional exotic fruits. The perceived disadvantages of the indigenous fruits were: 1. Difficulties in propagation 2. Lack of improved planting material: a low proportion of flesh to seed and low yields 3. A long period before the trees come into crop and slow growth rate 4. Lack of production information 5. Free availability in the forests discourages planting. 6. A poor “image” and low demand In contrast some respondents pointed out the following advantages: 1. Ease of establishment 2. Adaptation to the harsh environment 3. Minimal management requirements 4. Some fruit trees are fast growing and high yielding with a good demand for the fruits 5. The trees are multiple-purpose and their use could help preserve the environment. This survey-derived information is being used in the development of a research programme which includes work on selection of improved genotypes and on propagation methods

Symmetry breaking and unconventional charge ordering in single crystal Na2.7_{2.7}Ru4_4O9_9

The interplay of charge, spin, and lattice degrees of freedom in matter leads to various forms of ordered states through phase transitions. An important subclass of these phenomena of complex materials is charge ordering (CO), mainly driven by mixed-valence states. We discovered by combining the results of electrical resistivity ($\rho$), specific heat, susceptibility $\chi$ (\textit{T}), and single crystal x-ray diffraction (SC-XRD) that Na$_{2.7}$Ru$_4$O$_9$ with the monoclinic tunnel type lattice (space group $C$2/$m$) exhibits an unconventional CO at room temperature while retaining metallicity. The temperature-dependent SC-XRD results show successive phase transitions with super-lattice reflections at \textbf{q}$_1$=(0, $\frac{1}{2}$, 0) and \textbf{q}$_2$=(0, $\frac{1}{3}$, $\frac{1}{3}$) below $T_{\textrm{C2}}$ (365 K) and only at \textbf{q}$_1$=(0, $\frac{1}{2}$, 0) between $T_{\textrm{C2}}$ and $T_{\textrm{C1}}$ (630 K). We interpreted these as an evidence for the formation of an unconventional CO. It reveals a strong first-order phase transition in the electrical resistivity at $T_{\textrm{C2}}$ (cooling) = 345 K and $T_{\textrm{C2}}$ (heating) = 365 K. We argue that the origin of the phase transition is due to the localized 4$d$ Ru-electrons. The results of our finding reveal an unique example of Ru$^{3+}$/Ru$^{4+}$ mixed valance heavy \textit{d}$^4$ ions.Comment: 10 pages, 9 figure

Isolation of 10 cyclosporine metabolites from human bile

Ten metabolites of cyclosporine were isolated from the ethyl ether extract of bile from four liver transplant patients receiving cyclosporine. Two of the metabolites were unique and previously unidentified. Liquid-liquid partitioning into diethyl ether with subsequent defatting with n-hexane was used for the initial extraction form bile. Separation of the individual metabolites (A-J) was performed using a Sephadex LH-20 column and a gradient high performance liquid chromatographic method. The molecular weights of the isolated metabolites were determined by fast atom bombardment/mass spectrometry. Gas chromatography with mass spectrometic amino acid analysis was also used to identify the amino acid composition and the hydroxylation position of metabolites A, B, C, D, and G. Proton nuclear magnetic resonance spectra were utilized to disinguish the chemical shifts of N-CH3 singlets and NH doublets of metabolites A, B, C, and D. Metabolites A, E, F, H, I, and J were reported previously in human urine and animal bile. Metabolites C and D are dihydroxylated compounds which cannot be clearly described as previously isolated compounds. Metabolites B and G are novel metabolites with a mass fragment which corresponded to a loss of 131 Da from the protonated molecular ion (MH+) in the fast atom bombardment/mass spectrometry, suggesting that the double bond in amino acid 1 has been modified. Metabolites B and G were primarily isolated from the bile of one of the liver transplant patients which contained abnormally high concentrations of these two metabolites. The method described is an efficient procedure for isolating milligram quantities of the major metabolites with greater than 95% purity