Implicit Taylor methods for stiff stochastic differential equations

In this paper we discuss implicit Taylor methods for stiff Ito stochastic differential equations. Based on the relationship between Ito stochastic integrals and backward stochastic integrals, we introduce three implicit Taylor methods: the implicit Euler-Taylor method with strong order 0.5, the implicit Milstein-Taylor method with strong order 1.0 and the implicit Taylor method with strong order 1.5. The mean-square stability properties of the implicit Euler-Taylor and Milstein-Taylor methods are much better than those of the corresponding semi-implicit Euler and Milstein methods and these two implicit methods can be used to solve stochastic differential equations which are stiff in both the deterministic and the stochastic components. Numerical results are reported to show the convergence properties and the stability properties of these three implicit Taylor methods. The stability analysis and numerical results show that the implicit Euler-Taylor and Milstein-Taylor methods are very promising methods for stiff stochastic differential equations.

Integrable open boundary conditions for the Bariev model of three coupled X Y spin chains

The integrable open-boundary conditions for the Bariev model of three coupled one-dimensional XY spin chains are studied in the framework of the boundary quantum inverse scattering method. Three kinds of diagonal boundary K-matrices leading to nine classes of possible choices of boundary fields are found and the corresponding integrable boundary terms are presented explicitly. The boundary Hamiltonian is solved by using the coordinate Bethe ansatz technique and the Bethe ansatz equations are derived. (C) 2001 Elsevier Science B.V. All rights reserved.

Twisted sl(3, C)(k)((2)) current algebra: free field representation and screening currents

Motivated by application of twisted current algebra in description of the entropy of Ads(3) black hole, we investigate the simplest twisted current algebra sl(3, c)(k)((2)). Free field representation of the twisted algebra, and the corresponding twisted Sugawara energy-momentum tensor are obtained by using three (beta, gamma) pairs and two scalar fields. Primary fields and two screening currents of the first kind are presented. (C) 2001 Published by Elsevier Science B.V.

Injury and alcohol: a hospital emergency department study

A pilot survey was undertaken of injury presentations to a public hospital emergency department to determine patterns of alcohol use in this population. Of the 402 injury presentations in the study period, a total of 236 injury cases were interviewed, of whom 45% (n=107) and 29% (n=69) had consumed alcohol 24 and 6 hours prior to injury. Mean age for all injury presentations was 35.1 years, and 32.6 years for alcohol injury cases. For both injury groups, males were significantly younger than females. Recent alcohol ingestion was three times more common among male than female injury presentations, but with females drinking at significantly lower levels. Of males who had consumed alcohol 6 hours prior to injury, nearly 70% were drinking at NHMRC harmful levels and 61% had drunk more than eight standard drinks. Overall, alcohol-involved injury cases commonly occurred among low-income, single males around 30 years of age who were regular heavy drinkers who were drinking heavily in licensed premises prior to their injury, and who sustained injury through intentional harm. In addition, one in five of the alcohol-involved injury cases were aged 15-18 years, i.e. below the legal age of purchase. The high proportion of hazardous and harmful drinkers among those who had consumed alcohol within the last 6 hours, and the injury sample overall, highlights the need for further research to explore the relationship between the occurrence of injury and the drinking patterns and environments associated with injury. Further research is also required to assess the efficacy of early and brief interventions for alcohol and drug use within the emergency ward setting. This information would enable appropriate public health interventions to be initiated.

Justice strategy options for increased customer satisfaction in a services recovery setting

This study investigates the influence of justice (procedural, interactional and distributive) on measures of customer satisfaction within a hotel setting. Specifically, the study investigates the levels of satisfaction associated with various combinations of procedural, interactional, and distributive justice related service recovery strategies. Using especially designed video vignettes of a hotel service breakdown, respondents rated their levels of satisfaction for the video vignettes that depicted varying levels of. (a) level of concern shown by the service provider, (b) whether policy was adhered to, (c) degree of 'voice' given to the customer, and (d) type of compensation. Between subject MANOVA analyses revealed a number of main effects and interactions. Results clearly show that satisfaction varied significantly depending on the various combinations of recovery measures. In particular, a two-way interaction between adherence to policy and type of compensation was found. Furthermore, it was found that respondents expressed higher satisfaction with the service when a 50% refund was given, and the provider was seen to be adhering to policy, rather than doing a special favor for the customer. In contrast, when a token measure of compensation is given (i.e. giving away a couple of drink vouchers), respondents expressed higher levels of satisfaction if the service provider was doing a special favor rather than merely adhering to company policy. Implications for managers and scholars are discussed. (C) 2001 Elsevier Science Inc. All rights reserved.

Functional development of the inferior colliculus (IQ and its relationship with the auditory brainstem response (ABR) in the tammar wallaby (Macropus eugenii)

To discover the developmental relationship between the auditory brainstem response (ABR) and the focal inferior colliculus (IC) response, 32 young tammar wallabies were used, by the application of simultaneous ABR and focal brainstem recordings, in response to acoustic clicks and tone bursts of seven frequencies. The ic or the tammar wallaby undergoes a rapid functional development from postnatal day (PND) 114 to 160. The earliest (PND 114) auditory evoked response was recorded from the rostral IC. With development, more caudal parts of the IC became functional until age about PND 127, when all parts of the IC were responsive to sound. Along a dorsoventral direction, the duration of the IC response decreased, the peak latency shortened, while the amplitude increased, reaching a maximum value at the central IC, then decreased. After PND 160, the best frequency (BF) of the ventral IC was the highest, with values between 12.5 and 16 kHz, the BF of the dorsal IC was the lowest, varying between 3.2 and 6.4 kHz, while the BF of the central IC was between 6.4 and 12.5 kHz. Between PND 114 and 125, the IC response did not have temporal correlation with the ABR. Between PND 140 and 160, only the early components of the responses from the ventral and central IC correlated with the P4 waves of the ABR. After PND 160, responses recorded from different depths of the IC had a temporal correlation with the ABR. (C) 2001 Published by Elsevier Science B.V.

Unagi-sentences in Japanese and mutual knowledge

This paper examines the so-called ’Unagi-sentence‘ in Japanese. So far, it has been taken for granted that the Unagi-sentence is incomplete syntactically and/or semantically. Because its structure apparently neither provides a fully-fledged semantic meaning, nor furnishes a plausible syntactic pattern (such as ‘subject-predicate‘), a number of previous works have considered the Unagi-sentence to be elliptic, and consequently reconstructed it as a complete sentence or established intermediate structures to account for its grammatical form. Other researchers have not used elliptic solutions, but sought to discover logical connections between the parts of the Unagi-sentence themselves. As a result, fixing their entire attention on the internal structure of the Unagi-sentence, these researchers inevitably needed to establish hypothetical constructs in order to explain the structure of the Unagi-sentence. The present author believes that the Unagi-sentence is neither incomplete nor a result of some hypothetical processes. The Unagi-sentence stands on its own as a complete utterance. It is basically an NP utterance which can be expanded to the form NP1 wa + NP2 da and its variations. The occurrence of the Unagi-sentence depends heavily on a presupposed context and its pragmatic features, without which the Unagi-sentence cannot exist. It is these features that the present article seeks to elucidate.

Derivation of the probability distribution function for the local density of states of a disordered quantum wire via the replica trick and supersymmetry

We consider the statistical properties of the local density of states of a one-dimensional Dirac equation in the presence of various types of disorder with Gaussian white-noise distribution. It is shown how either the replica trick or supersymmetry can be used to calculate exactly all the moments of the local density of states.' Careful attention is paid to how the results change if the local density of states is averaged over atomic length scales. For both the replica trick and supersymmetry the problem is reduced to finding the ground state of a zero-dimensional Hamiltonian which is written solely in terms of a pair of coupled spins which are elements of u(1, 1). This ground state is explicitly found for the particular case of the Dirac equation corresponding to an infinite metallic quantum wire with a single conduction channel. The calculated moments of the local density of states agree with those found previously by Al'tshuler and Prigodin [Sov. Phys. JETP 68 (1989) 198] using a technique based on recursion relations for Feynman diagrams. (C) 2001 Elsevier Science B.V. All rights reserved.

Stochastic gauges in quantum dynamics for many-body simulations

Quantum dynamics simulations can be improved using novel quasiprobability distributions based on non-orthogonal Hermitian kernel operators. This introduces arbitrary functions (gauges) into the stochastic equations. which can be used to tailor them for improved calculations. A possible application to full quantum dynamic simulations of BEC's is presented. (C) 2001 Elsevier Science B.V. All rights reserved.

The supportive care needs of men with prostate cancer (2000)

The diagnosis and subsequent treatment of prostate cancer is followed by a range of significant disease specific and iatrogenic sequelae. However, the supportive care needs of men with prostate cancer are not well described in the literature. The present study assesses the supportive care needs of men with prostate cancer who are members of prostate cancer self-help groups in Queensland, Australia. In all, 206 men aged between 48 and 85 years (mean = 68) completed the Supportive Care Needs Survey (SCNS) (62% response). The SCNS is a validated measure assessing perceived need in the domains of psychological needs, health system and information needs, physical and daily living needs, patient care and support, and sexuality. Items assessing need for access to services and resources were also included. One third of the sample reported a moderate to high need for help for multiple items in the sexuality, psychological and health system and information domains. Younger men reported greater need in the sexuality domain; living in major urban centres was predictive of greater psychological need; being closer to the time of diagnosis was related to greater need for help in the physical and daily living domain; having prostate cancer that is not in remission, having received radiation therapy, and lower levels of education were predictive of greater need for help in patient care and support. Of the total sample, 55% of men had used alternative cancer treatments in the past 12 months, with younger and more educated men more likely to use alternative therapies. Interventions in sexuality, psychological concerns and informational support are priorities for men with prostate cancer. Copyright (C) 2001 John Wiley & Sons, Ltd.

Addressing shortcomings in the Household Responsibility System - Empirical analysis of the Two-Farmland System in Shandong Province

Despite apparent overwhelming benefits, implementation of the Household Responsibility System (HRS) in China contained a number of flaws. The Two-Farmland System (TFS), which originated in Pingdu City in Shandong Province, sought to address the twin problems of land fragmentation and economies of size. A stochastic frontier production function analysis that isolates the impacts of land allocation reforms suggests that the TFS increased efficiency by around 7%. This article highlights the need for empirical analysis to assess objectively the merits or otherwise of particular reforms. (C) 2002 Elsevier Science Inc. All rights reserved.

Predictions of quantum mechanics and stochastic electrodynamics in travelling wave second harmonic generation

We show that stochastic electrodynamics and quantum mechanics give quantitatively different predictions for the quantum nondemolition (QND) correlations in travelling wave second harmonic generation. Using phase space methods and stochastic integration, we calculate correlations in both the positive-P and truncated Wigner representations, the latter being equivalent to the semi-classical theory of stochastic electrodynamics. We show that the semiclassical results are different in the regions where the system performs best in relation to the QND criteria, and that they significantly overestimate the performance in these regions. (C) 2001 Published by Elsevier Science B.V.

Service guarantees: A strategic mechanism to minimise customers' perceived risk in service organisations

Service offerings are largely intangible in nature. Customers are thus unable to assess the purchase outcome prior to experience, rendering the risk of possible customer dissatisfaction very high. It is argued that the concept of service guarantees proposed by services management theory can be effectively utilised to reduce the perceived risk of dissatisfaction for the customer in service organisations. Additionally, it is suggested that service guarantees force management to undertake activities which elevate the superiority of the organisation in the eyes of the customer and, thus, the opportunity to transform one-time customers into loyal ones. The purpose of this paper is twofold: first, to illustrate how customers’ behavioural intentions can be influenced by the use of a service guarantee; and second, to outline a systematic process that can help service business managers to develop and implement an effective service guarantee. This research highlights the numerous benefits available to service organisations by utilising the service guarantee as a strategic tool. Some of the important management implications are also outlined.