Time operators for one parameter semigroups

We develop two simple approaches to the construction of time operators for semigroups of continuous linear operators in Hilbert spaces provided that the generators of these semigroups are normal operators. The first approach enables us to give explicit formulas (in the spectral representations) both for the time operators and for their eigenfunctions. The other approach provides no explicit formula. However, it enables us to find necessary and sufficient conditions for the existence of time operators for semigroups of continuous linear operators in separable Hilbert spaces with normal generators. Time superoperators corresponding to unitary groups are also discussed.

Implicit and explicit processes in a hypothesis testing task

We present the results of two experiments investigating the factors that determine responding on the pseudo-diagnosticity task. In Expt I we manipulated people's beliefs about the degree to which an initial piece of evidence supported a focal hypothesis and found decreased pseudo-diagnostic (PD) responding when the evidence offered low support for the focal hypothesis. In Expt 2 we manipulated the instructions given to participants. We found that instructions to select evidence to help decide between the focal and the complementary hypotheses produced fewer PD responses than both instructions to decide whether the focal hypothesis was the case and instructions to decide whether its complement was the case. The results are interpreted within the framework of recent dual process theories of reasoning.

Explicit argumentation as a supervisory tool for decision making in child protection cases involving human rights issues

This paper addresses the problems often faced by social workers and their supervisors in decision making where human rights considerations and child protection concerns collide. High profile court cases in the United Kingdom and Europe have consistently called for social workers to convey more clarity when justifying their reasons for interfering with human rights in child protection cases. The themes emerging from these case law decisions imply that social workers need to be better at giving reasons and evidence in more explicit ways to support any actions they propose which cause interference with Convention Rights. Toulmin (1958, 1985) offers a structured approach to argumentation which may have relevance to the supervision of child protection cases when social workers and managers are required to balance these human rights considerations. One of the key challenges in this balancing act is the need for decision makers to feel confident that any interventions resulting in the interference of human rights are both justified and proportionate. Toulmin’s work has already been shown to have relevance for assisting social workers navigate pathways through cases involving competing ethical and moral demands (Osmo and Landau, 2001) and more recently to human rights and decision making in child protection (Duffy et al, 2006). Toulmin’s model takes the practitioner through a series of stages where any argument or proposed recommendation (claim) is subjected to intense critical analysis involving exposition of its strengths and weaknesses. The author therefore proposes that explicit argumentation (Osmo and Landau, 2001) may help supervisors and practitioners towards safer and more confident decision making in child protection cases involving the interference of the human rights of children and parents. In addition to highlighting the broader context of human rights currently permeating child protection decision making, the paper will include case material to practically demonstrate the application of Toulmin’s model of argumentation to the supervision context. In this way the paper adopts a strong practice approach in helping to assist practitioners with the problems and dilemmas they may come up against in decision making in complex cases.

Room acoustics simulation using 3-D compact explicit FDTD schemes

This paper presents methods for simulating room acoustics using the finite-difference time-domain (FDTD) technique, focusing on boundary and medium modeling. A family of nonstaggered 3-D compact explicit FDTD schemes is analyzed in terms of stability, accuracy, and computational efficiency, and the most accurate and isotropic schemes based on a rectilinear grid are identified. A frequency-dependent boundary model that is consistent with locally reacting surface theory is also presented, in which the wall impedance is represented with a digital filter. For boundaries, accuracy in numerical reflection is analyzed and a stability proof is provided. The results indicate that the proposed 3-D interpolated wideband and isotropic schemes outperform directly related techniques based on Yee's staggered grid and standard digital waveguide mesh, and that the boundary formulations generally have properties that are similar to that of the basic scheme used.

Autoclave Cure Simulation of Composite Structures Applying Implicit and Explicit FE

Simulation of the autoclave manufacturing technique of composites can yield a preliminary estimation of induced residual thermal stresses and deformations that affect component fatigue life, and required tolerances for assembly. In this paper, an approach is proposed to simulate the autoclave manufacturing technique for unidirectional composites. The proposed approach consists of three modules. The first module is a Thermo-chemical model to estimate the temperature and the degree of cure distributions in the composite part during the cure cycle. The second and third modules are a sequential stress analysis using FE-Implicit and FE-Explicit respectively. User-material subroutine is used to model the Viscoelastic properties of the material based on theory of micromechanics.

Virtual Manufacturing of Composite Structures Applying Implicit and Explicit FE Techniques

Virtual manufacturing of composites can yield an initial early estimation of the induced residual thermal stresses that affect component fatigue life, and deformations that affect required tolerances for assembly. Based on these estimation, the designer can make early decisions, which can help in reducing cost, regarding changes in part design or material properties. In this paper, an approach is proposed to simulate the autoclave manufacturing technique for unidirectional composites. The proposed approach consists of three modules. The first module is a Thermochemical model to estimate temperature and the degree of cure distributions in the composite part during the cure cycle. The second and third modules are stress analysis using FE-Implicit and FE-Explicit respectively. User-material subroutine will be used to model the Viscoelastic properties of the material based on micromechanical theory. Estimated deformation of the composite part can be corrected during the autoclave process by modifying the process-tool design. The deformed composite surface is sent to CATIA for design modification of the process-tool.

"The Heart of Irish-Language Proverbs": A Linguo-Stylistic Analysis of Explicit Metaphor

Metaphor has featured frequently in attempts to define the proverb (see Taylor 1931, Whiting 1932, Mieder 1985, 1996), and since the advent of modern paremiological scholarship, it has been identified as one of the most salient markers of ‘proverbiality’ (Arora 1984) across a broad spectrum of world languages. Significant language-specific analyses, such as Klimenko (1946), Silverman-Weinreich (1981), and Arora (1984) have provided valuable qualitative information on the form and function of metaphor in Russian, Yiddish, and Spanish proverbs respectively. Unfortunately, no academic scholarship has engaged with the subject of metaphor in Irish proverbs. This study builds on international paremiological research on metaphor and provides for the first time a comprehensive quantitative and qualitative analysis of the form, frequency, and nature of linguistic metaphors in Irish proverbs (1856-1952). Moreover, from the perspective of paremiology, it presents a methodological template and result-set that can be applied cross-linguistically to compare metaphor in the proverbs of other languages.

Citizenship Attributes as the Basis for Intergroup Differentiation:Implicit and Explicit Intergroup Evaluations

Recent research (e.g. Barnes, Auburn & Lee, 2004) suggests that citizenship opportunities and resources may be afforded or denied to individuals according to their group memberships. We consider how the generic processes of intergroup differentiation by which groups are socially devalued and excluded can reflect divergent conceptualizations of citizenship among different groups. As part of a wider investigation of social exclusion, a combination of methods was used to investigate the relative intergroup perceptions of residents from more and less affluent areas in Limerick city, Ireland. Participants (n=214) completed the implicit association test and rated a fictional character on a series of citizenship-relevant dimensions. All participants displayed negative
implicit associations with designated disadvantaged areas in Limerick. The results of the explicit prejudice assessment illustrated that these negative associations are matched by a lower overall attribution of positive characteristics to residents from these areas relative to residents from a more affluent area. On examination of each group’s relative rating of traits, residents from less affluent
areas appear doubly disadvantaged as they are devalued in terms of both outgroup and ingroup understandings of citizenship attributes.

Capturing mode-switching in postbuckling composite panels using a modified explicit procedure

A postbuckling blade-stiffened composite panel was loaded in uniaxial compression, until failure. During loading beyond initial buckling, this panel was observed to undergo a secondary instability characterised by a dynamic mode shape change. These abrupt changes cause considerable numerical difficulties using standard path-following quasi-static solution procedures in finite element analysis. Improved methods such as the arc-length-related procedures do better at traversing certain critical points along an equilibrium path but these procedures may also encounter difficulties in highly non-linear problems. This paper presents a robust, modified explicit dynamic analysis for the modelling of postbuckling structures. This method was shown to predict the mode-switch with good accuracy and is more efficient than standard explicit dynamic analysis. (C) 2003 Elsevier Science Ltd. All rights reserved.