Interpolation of Lipschitz functions

This paper describes a new computational approach to multivariate scattered data interpolation. It is assumed that the data is generated by a Lipschitz continuous function f. The proposed approach uses the central interpolation scheme, which produces an optimal interpolant in the worst case scenario. It provides best uniform error bounds on f, and thus translates into reliable learning of f. This paper develops a computationally efficient algorithm for evaluating the interpolant in the multivariate case. We compare the proposed method with the radial basis functions and natural neighbor interpolation, provide the details of the algorithm and illustrate it on numerical experiments. The efficiency of this method surpasses alternative interpolation methods for scattered data.

A comparison of search functions and other navigational tools provided on government websites

This paper reports the outcomes of a study that evaluated the effectiveness of search functions compared to other navigational tools available on government websites. The study used an observation exercise triangulated with a post observation interview. Results suggest that while there wasn't any significant difference in effectiveness between search functions and other navigational tools, the skill with which the search function is implemented and participants' familiarity with the website, are fundamental determinants of users' opinions. Implications of the findings for research and practice are discussed.

Women's silence : in the space of words and images

My thesis is made up of words and images. This study investigates the way in which silence operates productively within and between the two modes of communication. I suggest that in the process of changing words into images or scripto-visual art-practice, the silence in women's lives can be articulated. I argue that women draw on the generative qualities of silence to create forms of speech that override the cultural constructions of gender which have placed them within the space of ‘mute’ silence. To gain an historical perspective of this practice by women, I consider the lives of medieval nuns within religious enclosure and their work with words and images in the illuminated manuscript. I make a comparative study of original illuminated manuscripts, focussing mainly on visual language and locating aspects of the work closest to my own art-practice: the visual treatment of the space and inter-textual components of the page or folio. This project does not include an examination of miniatures or historiated initials. Rather, its aim is to identify and compare the use of other aesthetic devices available to the medieval scribe/artist through which they might have interacted with the text. I suggest links between verbal and visual performances of language and the repetition, or copying of texts by medieval nuns, as a means of female embodiment of words and their spaces. From the outcomes of my studio investigations and my consideration of other contemporary feminist art practices, I demonstrate how women artists may ‘re-write’ the text and ‘speak’ their silence through visual language and the acts of writing, drawing and painting the words of others. Through my engagement with feminist critical theory, the work of medieval scholars, original illuminated manuscripts and my studio research, I propose that scripto-visual practice remains particularly significant for women despite the differences between the medieval period and our own. As a generative practice, it negotiates some of the societal constraints on women's speech and visibility, because its language is ‘silent and disembodied’ from the image of woman constructed by male discourse. It is a form of speech that acknowledges as it defies the social and cultural conditions that shaped its necessity, articulating an alternative voice of women in the space of words and images.

Construction of aggregation functions from data using linear programming

This article examines the construction of aggregation functions from data by minimizing the least absolute deviation criterion. We formulate various instances of such problems as linear programming problems. We consider the cases in which the data are provided as intervals, and the outputs ordering needs to be preserved, and show that linear programming formulation is valid for such cases. This feature is very valuable in practice, since the standard simplex method can be used.

Use of aggregation functions in decision making

A key component of many decision making processes is the aggregation step, whereby a set of numbers is summarised with a single representative value. This research showed that aggregation functions can provide a mathematical formalism to deal with issues like vagueness and uncertainty, which arise naturally in various decision contexts.

Future Asian space : projecting the urban space of new East Asia

The idea of "Asian space" is undergoing a transformation as a result of rapid technological, economic, social and cultural changes. Following the shift to a global economy and an urban population explosion, Asian cities have been presented as a mainstay of progress, national pride, identity, and positioning on the global stage. The extraordinary pace and intensity of the changes have created a situation unique in the history of urban development. Despite the immense diversity of Asian countries, "Asia-ness" is often treated as a distinctive quality that has emerged from unique recent circumstances affecting Asian urbanizations as a whole. In Future Asian Space, 15 authors explore broad concepts relating to the creation and re-creation of "Asian space" and contemporary Asian identity, and their examination of different sites and research approaches highlights the difficulty of pinpointing what Asia-ness is, or might become. Appropriate design and planning of cities is a critical element in building a sustainable future and coping with environmental, social and cultural problems. Future Asian Space is designed to stimulate interest and engagement in discussions of the Asian city, and its trajectories in architecture and urbanism. The authors' conclusions are important for academics, theorists and practitioners, but they will also intrigue anyone interested in the future of cities and urban life in Asia.

Application of power functions to chromatographic data for the enhancement of signal to noise ratios and separation resolution

Chromatographic detection responses are recorded digitally. A peak is represented ideally by a Guassian distribution. Raising a Guassian distribution to the power ‘n’ increases the height of the peak to that power, but decreases the standard deviation by √n. Hence there is an increasing disparity in detection responses as the signal moves from low level noise, with a corresponding decrease in peak width. This increases the S/N ratio and increases peak to peak resolution. The ramifications of these factors are that poor resolution in complex chromatographic data can be improved, and low signal responses embedded at near noise levels can be enhanced. The application of this data treatment process is potentially very useful in 2D-HPLC where sample dilution occurs between dimension, reducing signal response, and in the application of post-reaction detection methods, where band broadening is increased by virtue of reaction coils. In this work power functions applied to chromatographic data are discussed in the context of (a) complex separation problems, (b) 2D-HPLC separations, and (c) post-column reaction detectors.

"It's about freedom": contesting dominant representations of devout Muslim women in the space of the nation

Since September 11 there has been a rise of Islamophobia in Australian public discourse, matched by a growth of racialised attacks on visibly identifiable Muslims in public space. These cultural racisms have arisen in a context where Islamic religious signifiers and practices have come to be read as signs of fundamentalism, terrorism and threat to national political traditions and cultural values. In particular, the hijab has become a symbol of these tensions, with the veiled woman being read as the embodiment of a ‘repressive and fundamentalist religion’. However, as some Muslim and feminist scholars have proposed, these readings rob Muslim women of their ability to articulate the reasons why wear the veil or engage in gendered religious practices. This paper argues that this enacts a form of disembodiment, whereby Muslim womens’ ability to comfortably inhabit their bodies and assert themselves in the public sphere is limited. In particular the paper draws upon two case studies which express this disembodiment, whilst highlighting the counter-strategies that devout Muslim women are adopting to reinsert their bodies and narratives in the national frame. The first refers to the recent media backlash which followed a public lecture held at Melbourne University by Islamic organization Hikmah Way, where the audience was segregated along gender lines. The second draws upon interviews conducted with veiled Muslim women in Sydney, following the Cronulla riot. These interviews show how Muslim women are contesting dominant representations of the hijab in western popular discourse by recoding it as a signifier of religious and national identity, and as an expression of democratic freedom.