Breaking the Rules: writing reflectively for yourself.

The rules which epitomise good writing may on occasions be broken, deliberately and with what the writers judge to be good purpose. This can well occur when students or staff set out to engage effectively with their personal and professional development, through personal reflection on and in experiences. They may do this in what has been called “stream of consciousness” writing, which is deliberately compiled in a manner at variance with the general rules for best practice. The rationale for such an unusual decision, namely to engage in what is frankly disorderly writing, is set out briefly in this chapter. Its characteristics are summarised, in implicit contrast with more conventional styles of writing. Examples are included of claims for the effectiveness of this style when used for developmental purposes by students and staff; and reference is made to the publications of some of those who have endorsed this approach.

The clear sunshine of the gospel breaking forth upon the Indians in New-England / by Thomas Shepard.

http://www.archive.org/details/clearsunshineofg00sheprich

The day-breaking, if not the sun-rising of the Gospell with the Indians in New-England.

University of California Libraries

Breaking ranks: the emergence of representative associations in the Irish armed forces 1989-1992

This study contexualises the relationship between the armed forces and the civil authority in Ireland using and revising the theoretical framework advanced by Huntington. It tracks the evolution of the idea of a representive body for soldiers in the late 1980s, to the setting up of statutory associations under the Defence Amendment Act 1990. The study considers Irish soldiers political agitation and their use of peaceful democratic activities to achieve their aims. It highlights the fundamental policy arguments that were made against the idea of representation for the army and positions those arguments in the study of civil-military relations. Utilising unique access to secret Department of Defence files, it reveals in-depth ideological arguments advanced by the military authories in Ireland against independent representation. This thesis provides an academic study of the establishment of PDFORRA. It answers key questions regarding the change in the position of Irish government who were categorically opposed to the idea of representation in the army. It illustrates the involvement of other agencies such as the European Organisation of Military Associations (Euromil) reveals reciprocal support by the Irish associations to other emerging groups in Spain. Accessing as yet unpublished Department of Defence files, study analyses tension between the military authorities and the government. It highlights for the first time the role of enlisted personnel in the shaping of new state structures and successfully dismmisses Huntingtons theoretical contention that enlisted personnel are of no consequence in the study of civil-military relations. It fills a gap in our understanding, identified by Finer, as to how politicisation of soldiers takes place. This thesis brings a new dimension to the discipline of civil-military relations and creates new knowledge that will enhance our understanding of an area not covered previously.

Axial symmetry and transverse trace-free tensors in numerical relativity

Transverse trace-free (TT) tensors play an important role in the initial conditions of numerical relativity, containing two of the component freedoms. Expressing a TT tensor entirely, by the choice of two scalar potentials, is not a trivial task however. Assuming the added condition of axial symmetry, expressions are given in both spherical and cylindrical coordinates, for TT tensors in flat space. A coordinate relation is then calculated between the scalar potentials of each coordinate system. This is extended to a non-flat space, though only one potential is found. The remaining equations are reduced to form a second order partial differential equation in two of the tensor components. With the axially symmetric flat space tensors, the choice of potentials giving Bowen-York conformal curvatures, are derived. A restriction is found for the potentials which ensure an axially symmetric TT tensor, which is regular at the origin, and conditions on the potentials, which give an axially symmetric TT tensor with a spherically symmetric scalar product, are also derived. A comparison is made of the extrinsic curvatures of the exact Kerr solution and numerical Bowen-York solution for axially symmetric black hole space-times. The Brill wave, believed to act as the difference between the Kerr and Bowen-York space-times, is also studied, with an approximate numerical solution found for a mass-factor, under different amplitudes of the metric.

Latent Stick-Breaking Processes.

We develop a model for stochastic processes with random marginal distributions. Our model relies on a stick-breaking construction for the marginal distribution of the process, and introduces dependence across locations by using a latent Gaussian copula model as the mechanism for selecting the atoms. The resulting latent stick-breaking process (LaSBP) induces a random partition of the index space, with points closer in space having a higher probability of being in the same cluster. We develop an efficient and straightforward Markov chain Monte Carlo (MCMC) algorithm for computation and discuss applications in financial econometrics and ecology. This article has supplementary material online.

Cyclic Pursuit: Symmetry, Reduction and Nonlinear Dynamics

In this dissertation, we explore the use of pursuit interactions as a building block for collective behavior, primarily in the context of constant bearing (CB) cyclic pursuit. Pursuit phenomena are observed throughout the natural environment and also play an important role in technological contexts, such as missile-aircraft encounters and interactions between unmanned vehicles. While pursuit is typically regarded as adversarial, we demonstrate that pursuit interactions within a cyclic pursuit framework give rise to seemingly coordinated group maneuvers. We model a system of agents (e.g. birds, vehicles) as particles tracing out curves in the plane, and illustrate reduction to the shape space of relative positions and velocities. Introducing the CB pursuit strategy and associated pursuit law, we consider the case for which agent i pursues agent i+1 (modulo n) with the CB pursuit law. After deriving closed-loop cyclic pursuit dynamics, we demonstrate asymptotic convergence to an invariant submanifold (corresponding to each agent attaining the CB pursuit strategy), and proceed by analysis of the reduced dynamics restricted to the submanifold. For the general setting, we derive existence conditions for relative equilibria (circling and rectilinear) as well as for system trajectories which preserve the shape of the collective (up to similarity), which we refer to as pure shape equilibria. For two illustrative low-dimensional cases, we provide a more comprehensive analysis, deriving explicit trajectory solutions for the two-particle "mutual pursuit" case, and detailing the stability properties of three-particle relative equilibria and pure shape equilibria. For the three-particle case, we show that a particular choice of CB pursuit parameters gives rise to remarkable almost-periodic trajectories in the physical space. We also extend our study to consider CB pursuit in three dimensions, deriving a feedback law for executing the CB pursuit strategy, and providing a detailed analysis of the two-particle mutual pursuit case. We complete the work by considering evasive strategies to counter the motion camouflage (MC) pursuit law. After demonstrating that a stochastically steering evader is unable to thwart the MC pursuit strategy, we propose a (deterministic) feedback law for the evader and demonstrate the existence of circling equilibria for the closed-loop pursuer-evader dynamics.

Sufficient Conditions for the Existence of Bound States in a Potential without Spherical Symmetry

We give in this paper several suffieient conditions for the existence of negative energy bound states in a purely attractive potential without spherical symmetry. These conditions generalize the condition obtained recently by K. Chadan and A. Martin (C. R. Acad. Sci. Paris290 (1980), 151), and can ensure the existence of n bound states. For the spherically symmetric case, one gets simple formulae which are also new.

[Book review] Symmetry - A Unifying Concept, István Hargittai and Magdolna Hargittai

Tony Mann provides a review of the book: István Hargittai and Magdolna Hargittai, Symmetry - A Unifying Concept, 1994, Ten Speed Press, 222pp. ISBN: 089815-590-8. £14.99

[Reviews] Finding moonshine: a mathematician's journey through symmetry

Review of 'Finding Moonshine: A Mathematician’s Journey Through Symmetry' by Marcus du Sautoy, published by Fourth Estate, 2008 (ISBN 0-007-214618).

Breaking New Ground: The First Generation of Women to Work as Professional Authors in English Canada (1880-1920)

In the later decades of the nineteenth century and the early decades of the twentieth, large numbers of Canadian women were stepping out of the shadows of private life and into the public world of work and political action. Among them, both a cause and an effect of these sweeping social changes, was the first generation of Canadian women to work as professional authors. Although these women were not unified by ideology, genre, or date of birth, they are studied here as a generation defined by their time and place in history, by their material circumstances, and by their collective accomplishment. Chapters which focus on E. Pauline Johnson (Tekahionwake), the Eaton sisters (Sui Sin Far and Onoto Watanna), Joanna E. Wood, and Sara Jeannette Duncan explore some of the many commonalities and interrelationships among the members of this generation as a whole. This project combines archival research with analytical bibliography in order to clarify and extend our knowledge of Johnson’s and Duncan’s professional lives and publishing histories, and to recover some of Wood’s “lost” stories. This research offers a preliminary sketch of the long tradition of the platform performance (both Native and non-Native) with which Johnson and others engaged. It explores the uniquely innovative ethnographic writings of Johnson, Duncan, and the Eaton sisters, among others, and it explores thematic concerns which relate directly to the experiences of working women. Whether or not I convince other scholars to treat these authors as a generation, with more in common than has previously been supposed, the strong parallels revealed in these pages will help to clarify and contextualize some of their most interesting work.

General rules for predicting where a catalytic reaction should occur on metal surfaces: A density functional theory study of C-H and C-O bond breaking/making on flat, stepped, and kinked metal surfaces

To predict where a catalytic reaction should occur is a fundamental issue scientifically. Technologically, it is also important because it can facilitate the catalyst's design. However, to date, the understanding of this issue is rather limited. In this work, two types of reactions, CH4 CH3 + H and CO C + 0 on two transition metal surfaces, were chosen as model systems aiming to address in general where a catalytic reaction should occur. The dissociations of CH4 - CH3 + H and CO --> C + O and their reverse reactions on flat, stepped, and kinked Rh and Pd surfaces were studied in detail. We find the following: First, for the CH4 Ch(3) + H reaction, the dissociation barrier is reduced by similar to0.3 eV on steps and kinks as compared to that on flat surfaces. On the other hand, there is essentially no difference in barrier for the association reaction of CH3 + H on the flat surfaces and the defects. Second, for the CO C + 0 reaction, the dissociation barrier decreases dramatically (more than 0.8 eV on Rh and Pd) on steps and kinks as compared to that on flat surfaces. In contrast to the CH3 + H reaction, the C + 0 association reaction also preferentially occurs on steps and kinks. We also present a detailed analysis of the reaction barriers in which each barrier is decomposed quantitatively into a local electronic effect and a geometrical effect. Our DFT calculations show that surface defects such as steps and kinks can largely facilitate bond breaking, while whether the surface defects could promote bond formation depends on the individual reaction as well as the particular metal. The physical origin of these trends is identified and discussed. On the basis of our results, we arrive at some simple rules with respect to where a reaction should occur: (i) defects such as steps are always favored for dissociation reactions as compared to flat surfaces; and (ii) the reaction site of the association reactions is largely related to the magnitude of the bonding competition effect, which is determined by the reactant and metal valency. Reactions with high valency reactants are more likely to occur on defects (more structure-sensitive), as compared to reactions with low valency reactants. Moreover, the reactions on late transition metals are more likely to proceed on defects than those on the early transition metals.