It is well known that the group of all nonsingular lower block -triangular pxp matrices acts transitively on the cone p* of all positive definite pxp matrices. This result has been applied to obtain several major reSUlts in mUltivariate statistical distribution theory and decision theory. Here a converse is established: if a matrix group acts transitively on P*, then its group algebra must be (...

conclusion non-mass-like lesions, lesions with focal or segmental distribution, with a “plateau” enhancement curve type were the most frequent findings of dcis lesions on mri. background adequate diagnosis of ductal carcinoma in situ (dcis) could lead to efficacious treatment. due to the fact that dcis lesions can progress to invasive carcinomas and that the sensitivity of the standard examinat...

This paper proposes a computational methodology to deal with the inventory management of new products by using the triangular distribution for both demand per unit time and lead-time. The distribution for demand during lead-time (or lead-time demand) corresponds to the sum of demands per unit time, which is difficult to obtain. We consider the triangular distribution because it is useful when a...

We studied the effect of disorder on superconducting vortex pinning produced by arrays of artificial pinning sites. The magnetoresistance of samples with pinning configurations varying from a triangular array to an almost random distribution of pinning sites provides a controlled system for such studies. Interestingly even small degrees of order are sufficient to produce enhanced pinning at wel...

The aim is to present a new data distribution of triangular matrices that provides steady distribution of blocks among processes and reduces memory wasting compared to the standard block-cyclic data layout used in the ScaLAPACK library for dense matrix computations. A new algorithm for solving triangular systems of linear equations is also introduced. The results of experiments performed on a c...

The depth average module of NASIR finite volume solver was applied to study the tide induced currents in Khowr-e-Musa estuary. The model computes water level variation and velocity components in horizontal plane solving depth average continuity and momentum equations considering the hydrostatic pressure distribution. The software takes into account the bed and wall geometric complexities and re...

Recent advances in computation technology for simulation/uncertainty analyses have shed new light on the triangular distribution and its use to describe the uncertainty of bounded input phenomena. Herein, we develop a novel fitting procedure for a continuous unimodal (four-parameter) family of distributions on a bounded domain, utilizing three properly selected quantile estimates and an estimat...

Triangular surfaces are important because in areas where the geometry is not similar to rectangular domain, the rectangular surface patch will collapse into a triangular patch. In such a case, one boundary edge may collapse into a boundary vertex of the patch, giving rise to geometric dissimilarities (e.g. shape parameters, Gaussian curvature distribution, cross boundary continuities etc.) and ...