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1 Assistant Lecturer; School of Spatial Planning and Natural Resource Management; Jaramogi Oginga Odinga University of Science and Technology, KENYA 2 Seniour Lecturer; School of Spatial Planning and Natural Resource Management; Jaramogi Oginga Odinga University of Science and Technology, KENYA 3 Professor; School of Agriculture and Food Science; Jaramogi Oginga Odinga University of Science and...

The focus of this article is on various approaches to discerning patterns in nonempty sets endowed with a proximity (nearness) relation. Patterns arise in repetitions of some form in the arrangement of the parts of a set. To simplify the steps leading to pattern discovery, an approach inspired by M. Katĕtov is used, where one proximitises certain parts of a nonempty set, rather than proximitise...

The original definition of a topological space given by Hausdorff used neighborhood systems. Lattice-valued maps appear in this context when you identify a topology with a monoid in the Kleisli category of the filter monad on SET. H?hle’s notion of a lattice-valued topology [2] uses the same idea and it’s inspired in the classical lattice-valued topologies. Ltopological spaces are motivated by ...

Particle filters are used for hidden state estimation with nonlinear dynamical systems. The inference of 3-d human motion is a natural application, given the nonlinear dynamics of the body and the nonlinear relation between states and image observations. However, the application of particle filters has been limited to cases where the number of state variables is relatively small, because the nu...

Data bases and web pages contain currently a huge number of duplicate document. It is then fundamental to have a filter which can be embedded, for instance, within an information retrieval system like a search engine in order to prohibit the redundant documents references to appear on the screen as a reply to the user's query. This filter can save the user time and increases his satisfaction. I...

With an exponentially increasing amount of astronomical data, the complexity and dimension of astronomical data are likewise growing rapidly. Extracting information from such data becomes a critical and challenging problem. For example, some algorithms can only be employed in the low-dimensional spaces, so feature selection and feature extraction become important topics. Here we describe the di...