Self-Reported Facial Pain in UK Biobank Study : Prevalence and Associated Factors

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HPC4Mobilty w/ UCB

The purpose of this project is to examine the energy impact of urban-scale traffic for the Los Angeles Basin by developing and implementing a scalable traffic assignment model. An energy optimization function will be posed and when integrated into the optimization code for travel assignment it can be mathematically proven to converge. The energy optimization function can then be compared to the typical travel time optimization that is traditionally used in traffic assignment models. The analysis will begin with static traffic assignment models with the routing for all origin and destinations computed in parallel on high performance computing facilities. Convergence of the numerical methods rely on the solution of convex programs (or extensions of these). This step will mostly consist of demonstrating the ability to parallelize the Frank Wolfe algorithm on various platforms. This work will contribute to LBNL’s efforts to develop new processes, analytical tools, program designs, and business models to advance the state of the art in next-generation sustainable transportation solutions

Alcohol Consumption in Relation to Risk and Severity of Chronic Widespread Pain : Results from a UK population-based study

Acknowledgements The study was funded by Arthritis Research UK, Chesterfield, UK (Grant award number 17292). The funder did not have any role in the design, conduct of the study, in the collection, analysis or interpretation of the data, nor in the preparation, review or approval of the manuscript. We are grateful to the following practices and their patients for participating in the study: in Aberdeen: Carden Medical Centre, Elmbank Medical Practice, Great Western Medical Practice, Garthdee Medical Group, and in East Cheshire: Readesmoor Medical Group Practice, Lawton House Surgery, Bollington Medical Centre, Park Lane Surgery. The Scottish Primary Care Research Network facilitated access to patient information at the practices in Aberdeen city. Investigators on the MUSICIAN study were: Gordon J Prescott, Paul McNamee, Philip C Hannaford (all University of Aberdeen), John McBeth, Karina Lovell, Phil Keeley, Deborah PM Symmons (all University of Manchester) and Steve Woby (Penine Acute NHS Trust). Charlie Stockton was the study manager during the setting up and for part of the conduct of the study and Chrysa Gkazinou for the remainder of the study. Elizabeth Jones was part of the study team and undertook her PhD using data from the study (unrelated to the current analysis). John Norrie was originally an investigator of the MUSICIAN study while Director of the Centre for Health Care Randomised Trials (CHART) at the University of Aberdeen. We are grateful for the input of members of the Health Services Research Unit (HSRU) at The University of Aberdeen in the conduct of the study: Alison MacDonald and Gladys McPherson. The study was conceived by GJM who also drafted the manuscript. MB undertook the data analysis and critically reviewed the manuscript.Peer reviewedPublisher PD

Group Theoretical Foundations of Fractional Supersymmetry

Fractional supersymmetry denotes a generalisation of supersymmetry which may be constructed using a single real generalised Grassmann variable, $\theta = \bar{\theta}, \, \theta^n = 0$, for arbitrary integer $n = 2, 3, ...$. An explicit formula is given in the case of general $n$ for the transformations that leave the theory invariant, and it is shown that these transformations possess interesting group properties. It is shown also that the two generalised derivatives that enter the theory have a geometric interpretation as generators of left and right transformations of the fractional supersymmetry group. Careful attention is paid to some technically important issues, including differentiation, that arise as a result of the peculiar nature of quantities such as $\theta$.Comment: Plain Latex, 18 page

Optimally defined Racah-Casimir operators for su(n) and their eigenvalues for various classes of representations

This paper deals with the striking fact that there is an essentially canonical path from the $i$-th Lie algebra cohomology cocycle, $i=1,2,... l$, of a simple compact Lie algebra \g of rank $l$ to the definition of its primitive Casimir operators $C^{(i)}$ of order $m_i$. Thus one obtains a complete set of Racah-Casimir operators $C^{(i)}$ for each \g and nothing else. The paper then goes on to develop a general formula for the eigenvalue $c^{(i)}$ of each $C^{(i)}$ valid for any representation of \g, and thereby to relate $c^{(i)}$ to a suitably defined generalised Dynkin index. The form of the formula for $c^{(i)}$ for $su(n)$ is known sufficiently explicitly to make clear some interesting and important features. For the purposes of illustration, detailed results are displayed for some classes of representation of $su(n)$, including all the fundamental ones and the adjoint representation.Comment: Latex, 16 page