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This paper addresses the integration of fuzziness with On-Line Analytical Processing (OLAP) based association rules mining. It contributes to the ongoing research on multidimensional online association rules mining by proposing a general architecture that utilizes a fuzzy data cube for knowledge discovery. A data cube is mainly constructed to provide users with the flexibility to view data from different perspectives as some dimensions of the cube contain multiple levels of abstraction. The first step of the process described in this paper involves introducing fuzzy data cube as a remedy to the problem of handling quantitative values of dimensional attributes in a cube. This facilitates the online mining of fuzzy association rules at different levels within the constructed fuzzy data cube. Then, we investigate combining the concepts of weight and multiple-level to mine fuzzy weighted multi-cross-level association rules from the constructed fuzzy data cube. For this purpose, three different methods are introduced for single dimension, multidimensional and hybrid (integrates the other two methods) fuzzy weighted association rules mining. Each of the three methods utilizes a fuzzy data cube constructed to Suite the particular method. To the best of our knowledge, this is the first effort in this direction. We compared, the proposed approach to an existing approach that does not utilize fuzziness. Experimental results obtained for each of the three methods on a synthetic dataset and on the adult data of the United States census in year 2000 demonstrate the effectiveness and applicability of the proposed fuzzy OLAP based mining approach. [ABSTRACT FROM AUTHOR]

The structured inequalities of capital investment and disinvestment are prominent themes in critical urban and regional research, but many accounts portray ‘capital’ as a global, faceless and placeless abstraction operating according to a hidden, unitary logic. Sweeping political-economic shifts in the last generation demonstrate that capital may shape urban and regional processes in many different ways, and each of these manifestations creates distinct constraints and opportunities. In this paper, we analyze a new institutional configuration in the USA that is reshaping access to wealth among the poor – a policy ‘consensus’ to expand home-ownership among long-excluded populations. This shift has opened access to some low- and moderate-income households, and racial and ethnic minorities, but the necessary corollary is a greater polarization between those who are able to own and those who are not. We provide a critical analysis of these changes, drawing on national housing finance statistics as well as a multivariate analysis of differences between owners and renters in the 1990s in New York City. As home-ownership strengthens its role as a privatized form of stealth urban and housing policy in the USA, its continued expansion drives a corresponding reconstruction of its value for different groups, and inscribes a sharper axis of property-rights inequalities among owners and renters in the working classes. [ABSTRACT FROM AUTHOR]

This paper describes methods for automatically analyzing formal, state-based requirements specifications for some aspects of completeness and consistency. The approach uses a low-level functional formalism, simplifying the analysis process. State-space explosion problems are eliminated by applying the analysis at a high level of abstraction; i.e., instead of generating a reachability graph for analysis, the analysis is performed directly on the model. The method scales up to large systems by decomposing the specification into smaller, analyzable parts and then using functional composition rules to ensure that verified properties hold for the entire specification. The analysis algorithms and tools have been validated on TCAS II, a complex, airborne, collision-avoidance system required on all commercial aircraft with more than 30 passengers that fly in U.S. airspace. [ABSTRACT FROM AUTHOR]

Early abstract reasoning has typically been characterized by a "relational shift," in which children initially focus on object features but increasingly come to interpret similarity in terms of structured relations. An alternative possibility is that this shift reflects a learned bias, rather than a typical waypoint along a universal developmental trajectory. If so, consistent differences in the focus on objects or relations in a child's learning environment could create distinct patterns of relational reasoning, influencing the type of hypotheses that are privileged and applied. Specifically, children in the United States may be subject to culture-specific influences that bias their reasoning toward objects, to the detriment of relations. In experiment 1, we examine relational reasoning in a population with less object-centric experience-3-y-olds in China-and find no evidence of the failures observed in the United States at the same age. A second experiment with younger and older toddlers in China (18 to 30 mo and 30 to 36 mo) establishes distinct developmental trajectories of relational reasoning across the two cultures, showing a linear trajectory in China, in contrast to the U-shaped trajectory that has been previously reported in the United States. In a third experiment, Chinese 3-y-olds exhibit a bias toward relational solutions in an ambiguous context, while those in the United States prefer objectbased solutions. Together, these findings establish populationlevel differences in relational bias that predict the developmental trajectory of relational reasoning, challenging the generality of an initial object focus and suggesting a critical role for experience. [ABSTRACT FROM AUTHOR]

The poet John Ashbery lived in Paris from roughly 1955 to 1965. It was during this period that Ashbery began writing art reviews, often examining the work of various Americans also living in Paris at this time. Among the many painters Ashbery was to review and publish about, one was the Chicago-born, Paris-based abstract expressionist Joan Mitchell and an exhibition of hers at a Paris gallery in 1964. In this essay I examine the early, more ''abstract'' poetry that Ashbery was developing during this period, thinking about it alongside the paintings of Mitchell (and, in particular, his writings about them). My contention is that Ashbery was in many ways emboldened by Mitchell's complex engagements with representation and abstraction, especially as they relate to the landscape. Ashbery was, through his close examination of such work, moved towards ever greater poetic and linguistic experimentations of his own. [ABSTRACT FROM AUTHOR]

Details the abstraction and figuration at the Ground Zero World Trade Center site in New York City. Issuance of an open Request for Qualifications by the Lower Manhattan Development Corp. for architects; Details of the submitted proposals.

Explores the difficulties encountered by novice mathematicians on mathematical abstraction at Oxford College in Atlanta, Georgia. Genesis of group-theoretical concepts; Concepts of coset, order of an elements, and isomorphism; Completion of the learning cycle.