Hamiltonian mappings and circle packing phase spaces.

We introduce three area preserving maps with phase space structures which resemble circle packings. Each mapping is derived from a kicked Hamiltonian system with one of the three different phase space geometries (planar, hyperbolic or spherical) and exhibits an infinite number of coexisting stable periodic orbits which appear to ‘pack’ the phase space with circular resonances.

A Hermeneutic Case Reconstruction of a published first-person narrative

Hermeneutic Case Reconstruction (Rosenthal, 1993) is a systematic method of analysing biographical self-presentations from an interpretivist perspective. The method consists of five major analytic steps. The first is an analysis of the biographical data that can stand independently of the narrator’s perspective. ‘Objective’ data is extracted from the text or interview transcript and ordered chronologically. Secondly, a thematic field analysis is undertaken in which the data is divided into separate units according to the type of text used, whilst keeping the sequence of these texts units intact. In this step, hypotheses are developed regarding the potential significance of the style and sequence of the events presented. The product of this second step is a reconstruction of the life story. A reconstruction of the life history then follows as the third step. The purpose of this step is to generate hypotheses about the meanings that biographical experiences might have had for the narrator at the time they occurred, given the sociocultural context in which they occurred. In the fourth step, microanalysis of individual text segments is undertaken, in which all hypotheses generated in the earlier steps are tested against the text for support or refutation. The final step consists of a contrastive comparison of the life history and life story. The life story and life history are compared to determine, for example, which aspects of the narrator’s experience have been emphasised or minimised. Through this comparison, the selective process is highlighted. This is referred to as the case structure. This paper describes an application of this method to a published first-person narrative of a woman’s experiences of sustaining a brain injury in a motor vehicle accident.

From a Vicious Circle of Anxiety to a Virtuous Circle of Learning: Experience of Teaching to a Heterogenous Clientele

A considerable body of literature suggests that significant psychological barrier and anxiety characterize the teaching and learning process in statistics. This study investigates the incidence of statistics anxiety, the extent to which it can be overcome and the factors that contribute to the process of overcoming it. Self-study and overall teaching quality, amongst others, significantly contributed to this outcome. This study identifies factors contributing to overall teaching quality. The teaching and learning process typified a highly effective communication mechanism based on an appropriate diagnosis of individual needs. This cumulative change resulted from circular causation. It is argued that given appropriate conditions the vicious circle of anxiety can be transformed into a virtuous circle of learning.

Singapore 'shared values' and law: Non east versus west constitutional hermeneutic

This article examines the apparent contradictions in Singaporean interpretation and application of its Westminster modeled Constitution in which the Constitution is treated as any other piece of legislation and Western style individual rights are easily overrun. It also examines the Government's particularist claim to Asian values as an explanation for its handling of the Constitution and seeks an alternative approach to understand the Constitution with reference to the Government publication, the Shared Values. The author suggests that this Document serves as a quasi-Constitution, and finds that interpreting two leading cases with this hermeneutic leads to a more satisfactory understanding of the court's decisions. The article concludes that the Government's approach toward the law to create the society it envisioned and published in the Document is a different and pragmatic issue, rather than a result of any fundamental East versus West cultural difference.

On Quasi-Hopf Superalgebras

In this work we investigate several important aspects of the structure theory of the recently introduced quasi-Hopf superalgebras (QHSAs), which play a fundamental role in knot theory and integrable systems. In particular we introduce the opposite structure and prove in detail (for the graded case) Drinfeld's result that the coproduct Delta ' =_ (S circle times S) (.) T (.) Delta (.) S-1 induced on a QHSA is obtained from the coproduct Delta by twisting. The corresponding "Drinfeld twist" F-D is explicitly constructed, as well as its inverse, and we investigate the complete QHSA associated with Delta '. We give a universal proof that the coassociator Phi ' = (S circle times S circle times S) Phi (321) and canonical elements alpha ' = S(beta), beta ' = S(alpha) correspond to twisting, the original coassociator Phi = Phi (123) and canonical elements alpha, beta with the Drinfeld twist F-D. Moreover in the quasi-tri angular case, it is shown algebraically that the R-matrix R ' = (S circle times S)R corresponds to twisting the original R-matrix R with F-D. This has important consequences in knot theory, which will be investigated elsewhere.

A unified and complete construction of all finite dimensional irreducible representations of gl(2|2)

Representations of the non-semisimple superalgebra gl(2/2) in the standard basis are investigated by means of the vector coherent state method and boson-fermion realization. All finite-dimensional irreducible typical and atypical representations and lowest weight (indecomposable) Kac modules of gl(2/2) are constructed explicity through the explicit construction of all gl(2) circle plus gl(2) particle states (multiplets) in terms of boson and fermion creation operators in the super-Fock space. This gives a unified and complete treatment of finite-dimensional representations of gl(2/2) in explicit form, essential for the construction of primary fields of the corresponding current superalgebra at arbitrary level.

An extragalactic HI cloud with no optical counterpart?

We report the discovery, from the H I Parkes All-Sky Survey (HIPASS), of an isolated cloud of neutral hydrogen, which we believe to be extragalactic. The H I mass of the cloud (HIPASS J1712-64) is very low, 1.7 x 10(7) M-circle dot, using an estimated distance of similar to 3.2 Mpc. Most significantly, we have found no optical companion to this object to very faint limits [mu(B) similar to 27 mag arcsec(-2)]. HIPASS J1712-64 appears to be a binary system similar to, but much less massive than, H I 1225 + 01 (the Virgo H. I cloud) and has a size of at least 15 kpc. The mean velocity dispersion measured with the Australia Telescope Compact Array (ATCA) is only 4 km s(-1) for the main component and, because of the weak or nonexistent star formation, possibly reflects the thermal line width (T < 2000 K) rather than bulk motion or turbulence. The peak column density for HIPASS J1712-64, from the combined Parkes and ATCA data, is only 3.5 x 1019 cm(-2), which is estimated to be a factor of 2 below the critical threshold for star formation. Apart from its significantly higher velocity, the properties of HIPASS J1712-64 are similar to the recently recognized class of compact high-velocity clouds. We therefore consider the evidence for a Local Group or Galactic origin, although a more plausible alternative is that HIPASS J1712-64 was ejected from the interacting Magellanic Cloud-Galaxy system at perigalacticon similar to 2 x 10(8) yr ago.

An overview of diversion strategies for Australian drug-related offenders

This paper provides a descriptive overview of options for diversion of drug-related offenders from the criminal justice system. Drug-related offences include drug offences (for example, possession of a prohibited substance); offences that are directly linked to intoxication (for example, drink-driving or assault); and offences committed to support drug use (for example, theft). After an offence has been detected by police, multiple opportunities for diversion occur throughout the criminal justice process. (a) Pre-arrest: when an offence is first detected, prior to a charge being laid. This is known as police diversion and includes fines, warnings and cautions, sometimes with educational information or referral to assessment and treatment. (b) Pre-trial: when a charge is made but before the matter is heard at court. Examples are treatment as a condition of bail, conferencing and prosecutor discretion. (c) Pre-sentence: a delay of sentence while assessment and treatment are sought. (d) Post-sentence: as part of sentencing, for example suspended sentences, drug courts, noncustodial sentences and circle sentencing. (e) Pre-release: prior to release from a sentence, on parole. Issues for diversion programmes include net widening, the ethics of coercion to treatment, the needs of families and intersectoral collaboration. A framework for diversion is presented in which increasingly treatment-focused and coercive diversion strategies are used as offenders' criminal careers and drug problems increase.

Convective instability of 3-D fluid-saturated geological fault zones heated from below

We conduct a theoretical analysis to investigate the convective instability of 3-D fluid-saturated geological fault zones when they are heated uniformly from below. In particular, we have derived exact analytical solutions for the critical Rayleigh numbers of different convective flow structures. Using these critical Rayleigh numbers, three interesting convective flow structures have been identified in a geological fault zone system. It has been recognized that the critical Rayleigh numbers of the system have a minimum value only for the fault zone of infinite length, in which the corresponding convective flow structure is a 2-D slender-circle flow. However, if the length of the fault zone is finite, the convective flow in the system must be 3-D. Even if the length of the fault zone is infinite, since the minimum critical Rayleigh number for the 2-D slender-circle flow structure is so close to that for the 3-D convective flow structure, the system may have almost the same chance to pick up the 3-D convective flow structures. Also, because the convection modes are so close for the 3-D convective flow structures, the convective flow may evolve into the 3-D finger-like structures, especially for the case of the fault thickness to height ratio approaching zero. This understanding demonstrates the beautiful aspects of the present analytical solution for the convective instability of 3-D geological fault zones, because the present analytical solution is valid for any value of the ratio of the fault height to thickness. Using the present analytical solution, the conditions, under which different convective flow structures may take place, can be easily determined.

Mass of the milky way

We present a new estimate of the mass of the Milky Way based on the escape velocity of a sample of distant stars, about 12 kpc from the Galactic centre and about 5 kpc from the plane of the Galaxy. Our sample is very different from previous escape-velocity studies, being compiled from an all-object spectroscopic survey of a region of sky. The derived mass within 12 kpc of the Galactic centre is (1.3 +/- 0.3) x 10(11) M-circle dot.

Periodic orbit quantization of a Hamiltonian map on the sphere

In a previous paper we introduced examples of Hamiltonian mappings with phase space structures resembling circle packings. It was shown that a vast number of periodic orbits can be found using special properties. We now use this information to explore the semiclassical quantization of one of these maps.

Effect of probe stimulus intensity on the dissociation between autonomic orienting and secondary probe reaction time

Information processing accounts propose that autonomic orienting reflects the amount of resources allocated to process a stimulus. However, secondary task reaction time (RT), a supposed measure of processing resources, has shown a dissociation from autonomic orienting. The present study tested the hypothesis that secondary task RT reflects a serial processing mechanism. Participants (N = 24) were presented with circle and ellipse shapes and asked to count the number of longer-than-usual presentations of one shape (task-relevant) and to ignore presentations of a second shape (task-irrelevant). Concurrent with the counting task, participants performed a secondary RT task to an auditory probe presented at either a high or low intensity and at two different probe positions following shape onset (50 and 300 ms). Electrodermal orienting was larger during task-relevant shapes than during task-irrelevant shapes, but secondary task RT to the high-intensity probe was slower during the latter. In addition, an underadditive interaction between probe stimulus intensity and probe position was found in secondary RT. The findings are consistent with a serial processing model of secondary RT and suggest that the notion of processing stages should be incorporated into current information-processing models of autonomic orienting.