Application of projection algorithms to differential equations: boundary value problems

The Douglas-Rachford method has been employed successfully to solve many kinds of non-convex feasibility problems. In particular, recent research has shown surprising stability for the method when it is applied to finding the intersections of hypersurfaces. Motivated by these discoveries, we reformulate a second order boundary valued problem (BVP) as a feasibility problem where the sets are hypersurfaces. We show that such a problem may always be reformulated as a feasibility problem on no more than three sets and is well-suited to parallelization. We explore the stability of the method by applying it to several examples of BVPs, including cases where the traditional Newton's method fails

Discrimination in the Age of Social Media: The New Dangers of Cat's Paw Liability

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The Revision of Japans Early Commercial Treaties.

A joint symposium between the Japan Society and the London School of Economics and Political Science was held in the Suntory and Toyota International Centres for Economics and Related Disciplines on 9 July 1999 to mark the centenary of Treaty Revision in Japan. In the Bakumatsu period of the 1850s and 1860s Japan had entered into a number of commercial treaties with foreign countries which (among other things) gave foreign nationals extraterritorial rights in Japanese treaty ports. These treaties were re-negotiated with the individual countries in the 1890s and the new treaties came into effect in July-August 1899. Hence the centenary. The four speakers covered the full period from the conclusion of the first treaties in the 1850s to the re-negotiation of the treaties in 1911. Sir Hugh Cortazzi dealt with the various initiatives which led to the first commercial treaties with Japan between 1853 and 1868. Dr James Hoare, in dealing with the working of the early treaties and the attitudes of the foreign communities in the treaty ports, pointed out that the treaties had been modified many times. Dr Nigel Brailey spoke on Sir Ernest Satow who as British minister to Japan from 1895 was the responsible official as the 'unequal treaties' were coming to an end. He had earlier been minister in Bangkok and knew how strongly the Thais wanted their 'unequal treaties' revised at that time. While the question of jurisdiction under the treaties had been largely settled, the question of Japan's tariff autonomy remained unresolved. Dr Ayako Hotta-Lister in the final paper gave an account of how the Japanese, in a mood of increased confidence after the Russo-Japanese war, ended the earlier treaties with a view to concluding the Anglo-Japanese Tariff Treaty of 1911. By this re-negotiation Japan secured tariff autonomy and improved the terms of the commercial treaty but allowed concessions to Britain who had been her ally for almost a decade. Japan's struggle for treaty and tariff

Women, Midwives, and a Medical Model of Maternity Care in Switzerland

This paper presents a case study on the organisation of maternity healthcare in Switzerland, which has a costly healthcare system with high intervention rates within an obstetric-led maternity care model. Evidence has shown that midwifery care is associated with lower cost, higher satisfaction rates amongst women and less intervention. However, in the current model, midwives are both marginalised and underutilised. The paper focusses on the distribution of power and knowledge between midwives, women and the medical model. The varying power structures that shape the maternity care system in Switzerland are examined, using a case study approach that draws on Foucault’s concepts of the gaze, surveillance, disciplinary power, and the docile body. This paper will critically analyses the model of maternity care received by women in Switzerland and how it negatively impacts on both women’s personal and midwives’ professional autonomy whilst simultaneously driving up costs. A better understanding of the underlying power structures operating within the maternity care system may facilitate the implementation of more midwifery led care currently being endorsed by the Swiss Midwifery Association and some government agencies. This could result in reduced cost and lower intervention rates

Raw acceleration from wrist- and hip-worn accelerometers corresponds with mechanical loading in children and adolescents

This is the final version. Available on open access from MDPI via the DOI in this recordData Availability Statement: The data presented in this study are available on request from the corresponding author.The purpose of this study was to investigate associations between peak magnitudes of raw acceleration (g) from wrist- and hip-worn accelerometers and ground reaction force (GRF) variables in a large sample of children and adolescents. A total of 269 participants (127 boys, 142 girls; age: 12.3 ± 2.0 yr) performed walking, running, jumping (5 cm) and single-leg hopping on a force plate. A GENEActiv accelerometer was worn on the left wrist, and an Actigraph GT3X+ was worn on the right wrist and hip throughout. Mixed-effects linear regression was used to assess the relationships between peak magnitudes of raw acceleration and loading. Raw acceleration from both wrist and hip-worn accelerometers was strongly and significantly associated with loading (all p’s < 0.05). Body mass and maturity status (pre/post-PHV) were also significantly associated with loading, whereas age, sex and height were not identified as significant predictors. The final models for the GENEActiv wrist, Actigraph wrist and Actigraph hip explained 81.1%, 81.9% and 79.9% of the variation in loading, respectively. This study demonstrates that wrist- and hip-worn accelerometers that output raw acceleration are appropriate for use to monitor the loading exerted on the skeleton and are able to detect short bursts of high-intensity activity that are pertinent to bone health.Economic and Social Research Council (ESRC