Infinity has contradictions arising from its nature. Since mind is actually adapted to finite realities attained by behaviors in space and time, when one starts to deal with real infinity, contradictions will arise. In particular, Cantorian Set Theory, for it involves the notion of "equivalence of a set to one of its proper subsets," causes…

The Association of American Publishers has hired a public-relations firm with a hard-hitting reputation to respond to the open-access-publishing movement, which campaigns for scientific results to be made freely available to the public. The firm, Dezenhall Resources, designs aggressive public-relations campaigns to counter activist groups. The…

In Britain, and Wales particularly, inclusion and equal opportunities for all became key principles guiding the work of the many partnerships that were established at the beginning of this century. A primary objective of this paper is to develop a greater understanding of the politics and processes within "partnership" as a widely used…

Although the topological index does not uniquely correspond to the individual structure of a graph, it roughly represents the topological nature of the graph. Examples are given for using the topological index as a first sorting device for coding and retrieving structures, especially of fused polycyclic systems. (14 references) (Author/NH)

High-speed photography can show that the shape often used for a newly forming drop is wrong. Knowledge of drop behaviour is important for inkjet printers, and a close look at the formation of drops as given here can enhance critical observation, thinking and analysis.

This paper deals with a brief historical introduction to fractals, fractal dimension and fractal geometry. Many fractals including the Cantor fractal, the Koch fractal, the Minkowski fractal, the Mandelbrot and Given fractal are described to illustrate self-similar geometrical figures. This is followed by the discovery of dynamical systems and…

A set of primitives to allow graph processing on a list processing system is investigated. The object of the investigation is to provide a method of applying intuitive graph solution techniques to graph oriented computer problems. Applications are presented from several disciplines. (Author)

The approach to topographic map production has been highly organized and systematic with respect to scale, projection, grid, etc., so that the user can expect a high degree of locational accuracy. Less attention has been given by cartographers to symbolic information yielded by the map. Symbolization (information reduction) is required at all…

Discussion of the classification of documents from bibliographic databases focuses on a method of vectorizing reference documents from LISA (Library and Information Science Abstracts) which permits their topological organization using Kohonen's algorithm. Analyzes possibilities of this type of neural network with respect to the development of…

This paper discusses Mapping Temporal Relations of Discussions Software (MTRDS), a Web-based application that visually represents the temporal relations of online discussions. MTRDS was used to observe interaction characteristics of three online discussions. In addition, the research employed the Practical Inquiry Model to identify indices of…

This paper deals with a prey-predator model incorporating a prey refuge and harvesting of the predator species. A mathematical analysis shows that prey refuge plays a crucial role for the survival of the species and that the harvesting effort on the predator may be used as a control to prevent the cyclic behaviour of the system. The optimal…

This brief biography of Riemann is one of a series of biographical sketches in this journal. Riemann was born in Germany in 1826 and studied with Gauss among others. His numerous contributions to mathematics include the invention of a non-euclidean geometry and the founding of topology. (SD)

An examination of a learning style topology through the comparison of information processing and instructional preference toponymies is discussed. It was hypothesized that learning style modes would be discernible within each of these toponymies and that the toponymies would demonstrate orthogonality. Data analyzed for 429 university students…

The history of the study of dynamical systems is traced, examples are given, and the contribution of Birkhoff and Smale are described. (DT)