Sobolev tests of goodness of fit of distributions on compact Riemannian manifolds

Classes of coordinate-invariant omnibus goodness-of-fit tests on compact Riemannian manifolds are proposed. The tests are based on Gin\'{e}'s Sobolev tests of uniformity. A condition for consistency is given. The tests are illustrated by an example on the rotation group $\mathit{SO}(3)$.Comment: Published at http://dx.doi.org/10.1214/009053605000000697 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org

Developing digital literacy in construction management education: a design thinking led approach

Alongside the digital innovations in AEC (Architectural, Engineering and Construction) practice, are calls for a new type of digital literacy, including a new information-based literacy informed by creativity, critical analysis and the theoretical and practical knowledge of the construction profession. This paper explores the role of design thinking and the promotion of abductive problem situations when developing digital literacies in construction education. The impacts of advanced digital modelling technologies on construction management practices and education are investigated before an examination of design thinking, the role of abductive reasoning and the rise of normative models of design thinking workflows. The paper then explores the role that design thinking can play in the development of new digital literacies in contemporary construction studies. A three-part framework for the implementation of a design thinking approach to construction is presented. The paper closes with a discussion of the importance of models of design thinking for learning and knowledge production, emphasising how construction management education can benefit from them

A Circular Statistical Method for Extracting Rotation Measures

We propose a new method for the extraction of Rotation Measure from spectral polarization data. The method is based on maximum likelihood analysis and takes into account the circular nature of the polarization data. The method is unbiased and statistically more efficient than the standard $\chi^2$ procedure. We also find that the method is computationally much faster than the standard $\chi^2$ procedure if the number of data points are very large.Comment: 17 pages, 5 figure

Volunteer tourism and architecture students: what motivates and can best prepare them

This paper explores student attitudes toward volunteering in the context of university-led building development programs, raising questions about the practice of volunteering and its contribution to community development. Focusing on students undertaking tertiary education in Western countries, this literature-based study firstly explores the perceptions and motivations behind volunteering, and secondly discusses its developmental impact on low-income communities

Application of TRIZ to develop an in-service diagnostic system for a synchronous belt transmission for automotive application

Development of robust diagnostic solutions to monitor the health of systems and components to ensure through life cost effectiveness is often technically difficult, requiring an effective integration of design development with research and innovation. This paper presents a structured application of TRIZ and USIT (Unified Structured Inventive Thinking) to generate concept solutions for an in-service diagnostic system for a synchronous belt drive system for an automotive application. The systematic exploration through TRIZ and USIT methods has led to the development of six concept solution ideas directed at the functional requirement to determine the state or condition of the belt. The paper demonstrates that the combined deployment of TRIZ and USIT frameworks is a valuable approach addressing difficult design problem

Immigration

Since its foundation Sydney has been the major port of arrival for immigrants to Australia. There have been times when this position was temporarily lost – the gold rush directed arrivals towards Melbourne in the 1850s and mass migration to Queensland took place in the 1880s. Fremantle was the first port of arrival for many ships, and tired passengers often stopped off there and remained in Western Australia. But the dominance of Sydney was finally consolidated from the 1960s when passengers shifted from ships to planes. Increasing numbers of these were tourist arrivals, a phenomenon almost unknown in the days of shipping

The English in Sydney

The most famous Englishman in Australian history, Captain James Cook, missed the entrance to Sydney Harbour during the night. He and fellow Englishman, Sir Joseph Banks, committed future explorers to the less promising site of Botany Bay.Nearly 20 years later, Sydney was founded by the British government as a penal colony. Although there was an established Aboriginal population, they remained on the periphery and were gradually reduced by disease and displacement, a fate suffered by others further out as exploration and settlement proceeded. In contrast to New York, which was established by the Dutch, or Boston, which became predominantly Irish, Sydney was seen from the beginning as an ‘English’ town. This was despite its growing connections with the Pacific and the presence among its soldiers and convicts of some Scots and many Irishmen. The majority of transported convicts were English, the Church of England was the established religious faith and Catholicism was strictly limited by official control

Copulae on products of compact Riemannian manifolds

Abstract One standard way of considering a probability distribution on the unit n -cube, [0 , 1]n , due to Sklar (1959), is to decompose it into its marginal distributions and a copula, i.e. a probability distribution on [0 , 1]n with uniform marginals. The definition of copula was extended by Jones et al. (2014) to probability distributions on products of circles. This paper defines a copula as a probability distribution on a product of compact Riemannian manifolds that has uniform marginals. Basic properties of such copulae are established. Two fairly general constructions of copulae on products of compact homogeneous manifolds are given; one is based on convolution in the isometry group, the other using equivariant functions from compact Riemannian manifolds to their spaces of square integrable functions. Examples illustrate the use of copulae to analyse bivariate spherical data and bivariate rotational data.PostprintPeer reviewe