In this paper, we propose a sophisticated technique of data dependence analysis for distributed memory parallel environments that is used for converting sequential code into a parallel form targeted for a particular architecture. Two-dimensional arrays with subscripts formed by induction variable in real programs appear quite frequently [10]. We test if there are integervalued solutions for two...

The problem of fitting ellipsoids occurs in many areas of science. It is useful in pattern recognition, particle physics, computer graphics, medical imaging of organs, and statistical error analysis. We describe an algorithm for finding an equation for a multi-dimensional ellipsoid fit to a distribution of discrete data points. In general, we find that the algorithm works well for fitting ellip...

In this paper, we construct a new concept description language intended for representing dynamic and intensional knowledge. The most important feature distinguishing this language from its predecessors in the literature is that it allows applications of modal operators to all kinds of syntactic terms: concepts, roles and formulas. Moreover, the language may contain both local (i.e., state-depen...

Modern data analysis requires a number of tools to undercover hidden structure. For initial exploration of data, animated scatter diagrams and nonparametric density estimation in many forms and varieties are the techniques of choice. This article focuses on the application of histograms and nonparametric kernel methods to explore data. The details of theory, computation, visualization, and pres...

1. Background and motivation Multi-dimensional image processing is of paramount importance in areas such as multimedia, robotics, computer vision, graphics, biomedical engineering and industrial inspection. The growing interest in the development of multi-dimensional image processing techniques should be attributed primarily to the importance of color image and video processing and analysis. Pr...

We study the two and three dimensional, N = 2, 3, nonlinear dispersive equation CN (m, a + b): ut + (u )x + [ ua∇2ub] x = 0 where the degeneration of the dispersion at ground state induces cylindrically and spherically symmetric compactons convected in x-direction. An initial pulse of bounded extent decomposes into a sequence of robust compactons. Colliding compactons seem to emerge from the in...

The excellent reliability provided by RAID Level 5 data organization has been seen to be insuucient for future mass storage systems. We analyze the multi-dimensional disk array in search of the necessary improved reliability. The paper begins by introducing multi-dimensional disk array data organization schemes based on maximum distance separable error correcting codes and incorporating both st...