Fundamental solution and discrete random walk model for time-space fractional diffusion equation

In this paper, we consider a time-space fractional diffusion equation of distributed order (TSFDEDO). The TSFDEDO is obtained from the standard advection-dispersion equation by replacing the first-order time derivative by the Caputo fractional derivative of order α∈(0,1], the first-order and second-order space derivatives by the Riesz fractional derivatives of orders β 1∈(0,1) and β 2∈(1,2], respectively. We derive the fundamental solution for the TSFDEDO with an initial condition (TSFDEDO-IC). The fundamental solution can be interpreted as a spatial probability density function evolving in time. We also investigate a discrete random walk model based on an explicit finite difference approximation for the TSFDEDO-IC.

Modeling videokeratoscopic height data with spherical harmonics

Purpose: All currently considered parametric models used for decomposing videokeratoscopy height data are viewercentered and hence describe what the operator sees rather than what the surface is. The purpose of this study was to ascertain the applicability of an object-centered representation to modeling of corneal surfaces. Methods: A three-dimensional surface decomposition into a series of spherical harmonics is considered and compared with the traditional Zernike polynomial expansion for a range of videokeratoscopic height data. Results: Spherical harmonic decomposition led to significantly better fits to corneal surfaces (in terms of the root mean square error values) than the corresponding Zernike polynomial expansions with the same number of coefficients, for all considered corneal surfaces, corneal diameters, and model orders. Conclusions: Spherical harmonic decomposition is a viable alternative to Zernike polynomial decomposition. It achieves better fits to videokeratoscopic height data and has the advantage of an object-centered representation that could be particularly suited to the analysis of multiple corneal measurements.

Internet chatrooms : e-space for youth of the risk society

"This book focuses on issues in literacy and technology at the K-12 level in a holistic manner so that the needs of teachers and researchers can be addressed through the use of state-of-the-art perspectives"

Youth identities : time, space and social exclusion : exploring youth policy and practice in Sheffield, 1999-2003

The type and quality of youth identities ascribed to young people living in residual housing areas present opportunities for action as well as structural constraints. In this book three ethnographies, based on a youth work practitioner's observations, interviews and participation in local networks, identify young people's resistant identities. Through an analysis of social exclusion, youth policies and interviews with young people, youth workers and their managers, the book outlines a contingent network of relationships that hinder informal learning. Globalisation, individualisation, welfare/education reform and the rise of cultural social movements act upon youth identities and steer youth policies to subordinate the notion of informal group learning. Drawing on Castells' and Touraine's sociological models of identity, the book explores youth as a category of time and residual housing areas as a category of space, as they pertain to local dynamics of social exclusion.

Eat, drink and be civil

Brisbane is provincial city that has been developing rapidly since the early 1990s. The growth and development of its public and semi-public spaces means there are many more ways to engage with the city than was previously possible. --------- I suggest the city’s new and transformed spaces have enabled 2 important developments 1) a growth in forms of sociability and encounters with difference and 2) the negotiation of civic competencies. --------- The paper draws upon research conducted during a PhD project which used multi-method approaches - including qualitative [interviews] and quantitative data [surveys], psychoanalytic theory and text analysis.The study also made connections between the real city and the discursive city to argue that urban experience is constituted both materially and imaginatively.

Violence, Spatiality and other Rurals

Occidentalism, which treats the other as the same, can be detected in both the criminological and rural sociological treatment of violence in the sociospatial sites of rural countrysides. Criminology tends to mistakenly assume that violence in the modern world is primarily an urban phenomenon (Baldwin & Bottoms, 1976, p. 1; Braithwaite, 1989, p. 47). If violence in rural settings is encountered it tends to be treated as a smaller scale version of the urban problem, or the importation of an otherwise urban problem - as the corrupting influence of the gesellschaft within the gemeinschaft. Within much rural sociology violence is rendered invisible by the assumption that rural communities conform to the idealised conception of the typical gemeinschaft society, small-scale traditional societies based on strong cohesiveness, intimacy and organic forms of solidarity. What these bonds conceal, rather than reveal - violence within the family - remains invisible to the public gaze. The visibility of violence within Aboriginal families and communities presents a major exception to the spatially ordered social relations which render so much white family violence hidden. The need to take into account the complexity and diversity of these sociospatial relations is concretely highlighted in our research which has taken us out of the urban context and confronted us not only with the phenomenon of the violence of other rurals, but also with fundamentally competing claims on, and conceptions of, space and place in the context of a racially divided Australian interior. This article represents the second installment of conceptual reflections on this research, with the first having been published in this journal in 1998.

Hertzian space : modelling spatial presences

This design research concerns the generation of spaces that fully respond to people’s presence and their activities and spatialises the dynamics of a full body massage. Researched though digital and physical modelling full size physical form was constructed using Ethylene Vinyl Acetate (EVA) foam with three-dimensional shape defined by a computer generated cutting pattern, and assembled into a non-linear articulated surface.

“Filling out the forms was a nightmare” : project evaluation and the reflective practitioner in community theatre in contemporary Northern Ireland

Since the Good Friday Agreement of 1998, large sums have been invested in community theatre projects in Northern Ireland, in the interests of conflict transformation and peace building. While this injection of funds has resulted in an unprecedented level of applied theatre activity, opportunities to maximise learning from this activity are being missed. It is generally assumed that project evaluation is undertaken at least partly to assess the degree of success of projects against important social objectives, with a view to learning what works, what does not, and what might work in the future. However, three ethnographic case studies of organisations delivering applied theatre projects in Northern Ireland indicate that current processes used to evaluate such projects are both flawed and inadequate for this purpose. Practitioners report that the administrative work involved in applying for and justifying funding is onerous, burdensome, and occurs at the expense of artistic activity. This is a very real concern when the time and effort devoted to ‘filling out the forms’ does not ultimately result in useful evaluative information. There are strong disincentives for organisations to report honestly on their experiences of difficulties, or undesirable impacts of projects, and this problem is not transcended by the use of external evaluators. Current evaluation processes provide little opportunity to capture unexpected benefits of projects, and small but significant successes which occur in the context of over-ambitious objectives. Little or no attempt is made to assess long-term impacts of projects on communities. Finally, official evaluation mechanisms fail to capture the reflective practice and dialogic analysis of practitioners, which would richly inform future projects. The authors argue that there is a need for clearer lines of communication, and more opportunities for mutual learning, among stakeholders involved in community development. In particular, greater involvement of the higher education sector in partnership with government and non-government agencies could yield significant benefits in terms of optimizing learning from applied theatre project evaluations.

Space-frequency block code with matched rotation for MIMO-OFDM system with limited feedback

This paper presents a novel matched rotation precoding (MRP) scheme to design a rate one space-frequency block code (SFBC) and a multirate SFBC for MIMO-OFDM systems with limited feedback. The proposed rate one MRP and multirate MRP can always achieve full transmit diversity and optimal system performance for arbitrary number of antennas, subcarrier intervals, and subcarrier groupings, with limited channel knowledge required by the transmit antennas. The optimization process of the rate one MRP is simple and easily visualized so that the optimal rotation angle can be derived explicitly, or even intuitively for some cases. The multirate MRP has a complex optimization process, but it has a better spectral efficiency and provides a relatively smooth balance between system performance and transmission rate. Simulations show that the proposed SFBC with MRP can overcome the diversity loss for specific propagation scenarios, always improve the system performance, and demonstrate flexible performance with large performance gain. Therefore the proposed SFBCs with MRP demonstrate flexibility and feasibility so that it is more suitable for a practical MIMO-OFDM system with dynamic parameters.