Fractal Simplification of Lines Using Convex Hulls

We investigate the problem of the simplification of a curve from a geometric viewpoint. Starting from a fractal hypothesis, we consider that the best methods are those that keep an estimated value of the fractal dimension constant, before and after simplification. We propose a simplification rule based on the use of local convex hulls that corresponds to a new algorithm for computing fractal dimension. This algorithm is both accurate and universal, and does not imply the need to make arbitrary hypotheses regarding the structure of the curve. A comparison is made with other fractal approaches and with the well-known Douglas-Peucker method.     

An Axiomatic Approach to Geographical Space

Geographical space is a major concept in spatial analysis. Curiously enough, no attempt has so far been made to provide a general and rigorous presentation. In this paper, a formal definition of the basic geographical components is given. For that purpose, topology and measure theory are used. A general definition of geographical space is then proposed and some properties are examined. Finally, the relations between the proposed definition and the particular representations used in spatial analysis are discussed.     

SKILLS,EDUCATION, AND CANADIAN PROVINCIAL DISPARITY*

ABSTRACT We derive synthetic time series over the 1951–2001 period of the skills of labor market entrants for the 10 Canadian provinces from the 2003 ALL survey. The effect of the skills variable on regional income is significant and substantial. Skills acquired by one extra year of schooling result in an increase in per capita income of around 5 percent, which is close to microeconomic Mincerian estimates. Our literacy indicator does not outperform human capital indicators based on education. This contrasts sharply with recent cross‐country evidence and suggests substantial measurement error in cross‐country schooling data.     

The European Impact on State–Religion Relations in Turkey: Political Islam,Alevis and Non-Muslim Minorities

Since Turkey's application for membership of the European Union (EU) in 1987, the EU has itself been a structural component of Turkey's political transformation. The European impact intensified after Turkey was granted the status of an official candidate at the EU's Helsinki Summit in 1999. Since then, Turkey has issued a series of reform packages with the aim of starting accession negotiations, which began in October 2005. These reforms have initiated a democratic regime that is structurally different from its predecessors in terms of its definition of political community, national identity and the territorial structure of the state. Among many other aspects of the current political transformation such as the resolution of the Kurdish problem and administrative reform, this article concentrates on how the European impact, which I label Europeanisation, has influenced state–religion relations in Turkey. Europeanisation has three major mechanisms that influence actors, institutions, ideas and interests in varying ways: institutional compliance, changing opportunity structures, and the framing of domestic beliefs and expectations. The article concentrates on how these mechanisms operate in the creation of a new regulatory framework of religion in Turkey.     

Spatial segregation and class subjectivity in Turkey

Drawing on ethnographic research in an upper-class district in Turkey, this article examines social and spatial experiences of young low-wage service workers who travel daily back and forth between their homes in low-income neighbourhoods and their jobs in gated communities, upscale shopping malls and corporate offices. The paper argues that the significance of upper class districts or gated communities for urban inequality lies not in the sites themselves, nor the lifestyles of their elite inhabitants as commonly treated in the literature, but rather in the ways in which they relate to the outside and outsiders. Within this framework, the paper analyses the district’s effect on urban spatial segregation and urbanites’ sense of place in society. While resentment and reaction to inequalities and upper class customers are prevalent in young workers’ narratives, workers’ class subjectivities are also marked by a sense of mobility and liminality between the upper middle classes in their work district and their families, friends and neighbours back home. This sense of socio-spatial ‘in-betweenness’ is reinforced by being young, hence a sense of temporal liminality between youth and adulthood. The study contributes to the understanding of urban inequality at the intersection of spatial, emotional and temporal experiences of urbanites.