Religion and Politics in Modern Britain

The appearance of J. R. Oldfield's study, Popular politics and British anti-slavery, first published by Manchester University Press in 1995, now in paperback and therefore available for a student market, is much to be welcomed. The book is already well established in its field. As James Walvin writes in his preface, ‘Oldfield's research serves to clinch a simple but critical issue, namely that in the attack on the slave trade, popular revulsion was crucial’ (p. vi). Building on the work of earlier scholars, notably Seymour Drescher, Hugh Honour and Clare Midgley, Oldfield has demonstrated the ways in which the abolition movement turned to mobilizing public opinion after 1787 against the slave trade. At the centre of his investigation are the petition campaigns of 1788 and 1792. In analysing anti-slavery sentiment he successfully brings together approaches which focus on the eighteenth century as a period of expansion in commercial society and popular forms of politics with the agenda of historians of the slave trade and slavery. The abolition movement, he argues, provided the prototype for modern reforming organizations. It was peopled by practical middle-class men who understood the importance of the expansion of the market and consumer choice. It succeeded in capturing the imagination of those, predominantly middle-class men and women, who were increasingly interested in engaging in forms of public debate and who had the resources, both in terms of time and money, to do so. His book, he argues, is a piece of ‘thick description’ which offers ‘fresh insights into the increasingly powerful role of the middle classes in influencing Parliamentary politics from outside the confines of Westminster

Performance and Safety to NAVSEA Instruction 9310.1A of Lithium-thionyl Chloride Reserve Batteries

The design, performance and safety of a fully engineered, selfcontained Li/SOCl2 battery as the power source for underwater applications. In addition to meeting the performance standards of the end user this battery is successfully tested under the rigorous safety conditions of NAVSEA Instruction 9310.1A for use on land, aircraft and surface ships

Asymptotic expressions for the nearest and furthest dislocations in a pile-up against a grain boundary

In 1965, Armstrong and Head (Acta Metall. 13(7):759–764, 1965) explored the problem of a pile-up of screw dislocations against a grain boundary. They used numerical methods to determine the positions of the dislocations in the pile-up and they were able to fit approximate formulae for the locations of the first and last dislocations. These formulae were used to gain insights into the Hall-Petch relationship. More recently, Voskoboinikov et al. (Phil. Mag. Lett. 87(9):669-676, 2007) used asymptotic techniques to study the equivalent problem of a pile-up of a large number of screw dislocations against a bimetallic interface.\ud \ud In this paper, we extend the work of Voskoboinikov et al. to construct systematic asymptotic expressions for the formulae proposed by Armstrong and Head. The further extension of these techniques to more general pile-ups is also outlined. As a result of this work, we show that a pile-up against a grain boundary can become equivalent to a pile-up against a locked dislocation in the case where the mismatch across the boundary is small

Asymptotic analysis of a pile-up of edge dislocation

The idealised problem of a pile-up of dislocation walls (that is, of planes each containing an infinite number of parallel and identical dislocations) was presented by Roy et al. (Mater. Sci. Eng. A 486:653-661, 2008) as a proto-type for understanding the importance of discrete dislocation interactions in dislocation-based plasticity models. They noted that analytic solutions for the dislocation wall density are available for a pile-up of screw dislocation walls, but that numerical methods seem to be necessary for investigating edge dislocation walls. In this paper, we use the techniques of discrete-to-continuum asymptotic analysis to obtain a detailed description of a pile-up of edge dislocation walls. To leading order, we find that the dislocation wall density is governed by a simple differential equation and that boundary layers are present at both ends of the pile-up

Geometric quantization and the generalized Segal-Bargmann transform for Lie groups of compact type

Let K be a connected Lie group of compact type and let T*(K) be its cotangent bundle. This paper considers geometric quantization of T*(K), first using the vertical polarization and then using a natural Kahler polarization obtained by identifying T*(K) with the complexified group K_C. The first main result is that the Hilbert space obtained by using the Kahler polarization is naturally identifiable with the generalized Segal-Bargmann space introduced by the author from a different point of view, namely that of heat kernels. The second main result is that the pairing map of geometric quantization coincides with the generalized Segal-Bargmann transform introduced by the author. This means that in this case the pairing map is a constant multiple of a unitary map. For both results it is essential that the half-form correction be included when using the Kahler polarization. Together with results of the author with B. Driver, these results may be seen as an instance of "quantization commuting with reduction."Comment: Final version. To appear in Communications in Mathematical Physic