This paper presents a new root-extraction approach for Arabic words. The approach tries to assign for Arabic words a unique root without relying on a database of word roots, a list of word patterns or a list of all the prefixes and the suffixes of the Arabic words. Unlike most of Arabic rule-based stemmers, it tries to predict the root-letters positions one by one based on some rules and relati...

The covariance matrix is formulated in the framework of a linear multivariate ARCH process with long memory, where the natural cross product structure of the covariance is generalized by adding two linear terms with their respective parameter. The residuals of the linear ARCH process are computed using historical data and the (inverse square root of the) covariance matrix. Simple measure of qua...

The Babylonian Talmud is still an authoritative source for many orthodox Jews, an dialogic encyclopaedia of knowledge and one of the most impressive pieces of world literature. However, the distribution of this knowledge is limited by the burdensome task of studying this complex work. The paper presents a comprehensive study environment for a Talmudic tractate which transcribes an original prin...

We give a general reduction scheme for the study of the quantum propagator of molecular Schrr odinger operators with smooth potentials. This reduction is made up to innnitely (resp. exponentially) small error terms with respect to the inverse square root of the mass of the nuclei, depending on the C 1 (resp. analytic) smoothness of the interactions. Then we apply this result to the case when an...

the frequency response analysis (fra) test has been recognized as one of the sensitive tools available for detecting electrical and mechanical faults inside power transformers. however, there is still no universally systematic interpretation technique for these tests. many research efforts have employed different statistical criteria in order to aid the interpretative capability of the fra, but...

The Chi square test is a statistical test which measures the association between two categorical variables. A working knowledge of tests of this nature are important for the chiropractor and osteopath in order to be able to critically appraise the literature.

Understanding broad-scale ecological patterns and processes often involves accounting for regional-scale heterogeneity. A common way to do so is to include ecological regions in sampling schemes and empirical models. However, most existing ecological regions were developed for specific purposes, using a limited set of geospatial features and irreproducible methods. Our study purpose was to: (1)...

In this paper we define infinite-dimensional algebra and its representation, whose basis is naturally identified with semi-infinite configurations of the square ladder model (square lattice two lines). All these lead to representation N=2 algebra. We also extrapolate ideas for 3-leg triangular on cylinder.