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A new form of the Kerr solution is presented. The solution involves a time coordinate which represents the local proper time for free-falling observers on a set of simple trajectories. Many physical phenomena are particularly clear when related to this time coordinate. The chosen coordinates also ensure that the solution is well behaved at the horizon. The(More)
OBJECTIVE To estimate the potential health benefits and cost savings of an alcohol tax rate that applies equally to all alcoholic beverages based on their alcohol content (volumetric tax) and to compare the cost savings with the cost of implementation. DESIGN AND SETTING Mathematical modelling of three scenarios of volumetric alcohol taxation for the(More)
BACKGROUND In 2002/03 the Queensland Government responded to high rates of alcohol-related harm in discrete Indigenous communities by implementing alcohol management plans (AMPs), designed to include supply and harm reduction and treatment measures. Tighter alcohol supply and carriage restrictions followed in 2008 following indications of reductions in(More)
Over the past 2-3 years, clinical practice guidelines (CPGs) for post-traumatic stress disorder (PTSD) and acute stress disorder (ASD) have been developed in the USA and UK. There remained a need, however, for the development of Australian CPGs for the treatment of ASD and PTSD tailored to the national health-care context. Therefore, the Australian Centre(More)
It is shown that every Lie algebra can be represented as a bivector algebra ; hence every Lie group can be represented as a spin group. Thus, the computational power of geometric algebra is available to simplify the analysis and applications of Lie groups and Lie algebras. The spin version of the general linear group is thoroughly analyzed, and an invariant(More)
BACKGROUND Indigenous peoples of Australia, Canada, United States and New Zealand experience disproportionately high rates of suicide. As such, the methodological quality of evaluations of suicide prevention interventions targeting these Indigenous populations should be rigorously examined, in order to determine the extent to which they are effective for(More)
Projective geometry provides the preferred framework for most implementations of Euclidean space in graphics applications. Translations and rotations are both linear transformations in projective geometry, which helps when it comes to programming complicated geometrical operations. But there is a fundamental weakness in this approach — the Euclidean(More)
This paper contains a tutorial introduction to the ideas of geometric algebra , concentrating on its physical applications. We show how the definition of a 'geometric product' of vectors in 2-and 3-dimensional space provides precise geometrical interpretations of the imaginary numbers often used in conventional methods. Reflections and rotations are(More)