The set of Euclidean distance matrices has a well-known representation as a convex cone. The problems of representing the group averages of K distance matrices are discussed, but not fully resolved, in the context of SMACOF, Generalized Orthogonal Procrustes Analysis and Individual Differences Scaling. The polar (or dual) cone representation, corresponding to inner-products around a centroid, i...

aging has negative effects on motor and cognitive functions, so it is essential to identify appropriate strategies to prevent the decrease of motor and cognitive functions. the aim of this research was to investigate the effect of vitamin e supplement on motor activity and spatial learning in aged rats. 36 male albino – wistar aged rats were assigned to three groups of control, vitamin e and sh...

casimir forces of massive ferrnionic dirac fields are calculated for parallel plates geometry in spatial space with dimension d and imposing bag model boundary conditions. it is shown that in the range of ma>>l where m is mass of fields quanta and a is the separation distance of the plates, it is equal to massive bosonic fields casimir force for each degree of freedom. we argue this equality ex...

The quality properties of andesite (Unit Volume Weight, Uniaxial Compression Strength, Los500, etc.) are required to determine the exploitable blocks and their sequence of extraction. However, the number of samples that can be taken and analyzed is restricted, and thus the quality properties should be estimated at unknown locations. Cokriging has been traditionally used in the estimation of spa...

This paper describes a structure tensor based method to characterize activity in videos. Based on the relationship observed between structure tensors and covariance matrices, the distance between structure tensor matrices is computed by either a generalized eigenvalue or a Riemannian manifold. A histogram of distances between structure tensor matrices is constructed to serve as a signature for ...

Parikh matrix is a numerical property of a word on an ordered alphabet. It is used for studying word in terms of its sub words. It was introduced by Mateescu et al. in 2000. Since then it has been being studied for various ordered alphabets. In this paper Parikh Matrices over tertiary alphabet are investigated. Algorithm is developed to display Parikh Matrices of words over tertiary alphabet. T...

Given a controllable pair of matrices (A; B), the distance to the set of uncontrollable pairs is obtained as the minimum singular value of the set of augmented matrices A ? I; B] as varies over the complex plane. This study develops one dimensional and two dimensional algorithms to calculate or estimate the distance. The algorithms give guaranteed upper and lower bounds.

Lapointe and Kirsch (1995) have recently explored the possibility of reconstructing phylogenetic trees from lacunose distance matrices. They have shown that missing cells can be estimated using the ultrametric property of distances, and that reliable trees can be derived from such filled matrices. Here, we extend their work by introducing a novel way to estimate distances based on the four-poin...

We consider problems of estimation of structured covariance matrices, and in particular of matrices with a Toeplitz structure. We follow a geometric viewpoint that is based on some suitable notion of distance. To this end, we overview and compare several alternatives metrics and divergence measures. We advocate a specific one which represents the Wasserstein distance between the corresponding G...