Computational properties of min/max autocorrelation factors

Minimum/maximum autocorrelation factor (MAF) is a suitable algorithm for orthogonalization of a vector random field. Orthogonalization avoids the use of multivariate geostatistics during joint stochastic modeling of geological attributes. This manuscript demonstrates in a practical way that computation of MAF is the same as discriminant analysis of the nested structures. Mathematica software is used to illustrate MAF calculations from a linear model of coregionalization (LMC) model. The limitation of two nested structures in the LMC for MAF is also discussed and linked to the effects of anisotropy and support. The analysis elucidates the matrix properties behind the approach and clarifies relationships that may be useful for model-based approaches. (C) 2003 Elsevier Science Ltd. All rights reserved.

Globalizing policy sociology in education: Working with Bourdieu

This paper uses Bourdieu to develop theorizing about policy processes in education and to extend the policy cycle approach in a time of globalization. Use is made of Bourdieu's concept of social field and the argument is sustained that in the context of globalization the field of educational policy has reduced autonomy, with enhanced cross-field effects in educational policy production, particularly from the fields of the economy and journalism. Given the social rather than geographical character of Bourdieu's concept of social fields, it is also argued that the concept can be, and indeed has to be, stretched beyond the nation to take account of the emergent global policy field in education. Utilizing Bourdieu's late work on the globalization of the economy through neo-liberal politics, we argue that a non-reified account of the emergent global educational policy field can be provided.

A fuzzy max-flow min-cut theorem

Interval-valued versions of the max-flow min-cut theorem and Karp-Edmonds algorithm are developed and provide robustness estimates for flows in networks in an imprecise or uncertain environment. These results are extended to networks with fuzzy capacities and flows. (C) 2001 Elsevier Science B.V. All rights reserved.