We construct an irreducible representation for the extended affine algebra of type sl2 with coordinates in a quantum torus. We explicitly give formulas using vertex operators similar to those found in the theory of the infinite rank affine algebra A∞. Introduction. The purpose of this paper is to construct a module for the Extended Affine Lie algebra (EALA for short), we call it L̂, of type sl2 ...

This report reproduces and briefly discusses an algorithm proposed by Butz [2] for calculating a mapping between one-dimensional values and n-dimensional values regarded as being the coordinates of points lying on Hilbert Curves. It suggests some practical improvements to the algorithm and presents an algorithm for calculating the inverse of the mapping, from n-dimensional values to one-dimensi...

This report reproduces and brie y discusses an algorithm proposed by Butz [2] for calculating a mapping between one-dimensional values and n-dimensional values regarded as being the coordinates of points lying on Hilbert Curves. It suggests some practical improvements to the algorithm and presents an algorithm for calculating the inverse of the mapping, from n-dimensional values to one-dimensio...

Three-dimensional electrogram was used for analysis of ischemia manifestation in isolated hearts. Three parameters based on spherical coordination system were used in this study - amplitude of electrical heart vector, its azimuth and elevation. The parameters were presented as a trend. This approach reflected ischemic changes in a manner which can be easily observed and evaluated. Ischemia was ...

For simplicity, we use the following convention: a, b, s, s1, r, r1, r2 denote real numbers, n, i denote natural numbers, X denotes a non empty topological space, p, p1, p2, q denote points of E n T, P denotes a subset of the carrier of E n T, and f denotes a map from E T into R . Let n, i be natural numbers and let p be an element of the carrier of E T. The functor Proj(p, i) yielding a real n...

in this work we solve the set of hydrodynamical equations for accretion disks in the spherical coordinates (r,θ,ϕ) to obtain the explicit structure along θ direction. we study a two-dimensional advective accretion disc in the presence of thermal conduction. we find self-similar solutions for an axisymmetric, rotating, steady, viscous-resistive disk. we show that the global structure of an advec...

Mixtures of Probabilistic Principal Component Analyzers can be used to model data that lies on or near a low dimensional manifold in a high dimensional observation space, in effect tiling the manifold with local linear (Gaussian) patches. In order to exploit the low dimensional structure of the data manifold, the patches need to be localized and oriented in a low dimensional space, so that 'loc...

Conventional methods of exploratory data analysis employ tools ranging from two and three dimensional scatterplots and descriptive statistical summaries to multivariate methods employing factoring and model formulation. Much of this kind of effort is directed toward distilling the important parameters and observations from noisy, and sometimes sparse, databases. Parallel coordinates provides a ...

This article is concerned with the infinite depth water wave equation in two space dimensions. We consider this problem expressed in position-velocity potential holomorphic coordinates, and prove that small localized data leads to global solutions. This article is a continuation of authors’ earlier paper [11].