This research presents a new algorithm for Arabic root extraction, which aims to improve the accuracy of Natural Language Processing Algorithms by addressing weaknesses and errors existing algorithms. The proposed utilizes database, that includes collection roots, patterns, affixes, generate potential derivation roots word without eliminating affixes initially. By matching derived with patterns...

The goal of this dissertation is to introduce a method for deriving morphemes from Arabic words using stem patterns, a feature of Arabic morphology. The motivations are three-fold: modeling with morphemes rather than words should help address the out-ofvocabulary problem; working with stem patterns should prove to be a cross-dialectally valid method for deriving morphemes using a small amount o...

Hebrew has two forms of spelling, pointed and unpointed. In the pointed spelling, diacritical signs (pointing) are added to consonantal letters to convey vowel information. These are omitted in the unpointed spelling. Since pointing conveys information that is critical for the prelexical derivation of phonology, it was hypothesized that its absence would prove detrimental for left hemisphere (L...

We study class-based n-gram and neural network language models for very large vocabulary speech recognition of two morphologically rich languages: Finnish Estonian. Due to morphological processes such as derivation, inflection compounding, the need be trained with sizes several millions word types. Class-based modelling is in this case a powerful approach alleviate data sparsity reduce computat...

let $mathfrak{l}$ be the virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. we investigate the structure of the lie triplederivation algebra of $mathfrak{l}$ and $mathfrak{g}$. we provethat they are both isomorphic to $mathfrak{l}$, which provides twoexamples of invariance under triple derivation.

let  be a banach algebra and  a derivation. in this paper, it is proved, under certain conditions, that , where  is the jacobson radical of . moreover, we prove that if  is unital and  is a continuous derivation, then , where  denotes the set of all primitive ideals such that  is commutative,  denotes the set of all maximal (modular) ideals such that  is commutative, and  is the set of all non-...

This article first explains concepts in taxometrics, including the meaning of "taxon" in relation to taxometric procedures. It then mathematically develops the MAXSLOPE procedure of Grove and Meehl which relies on nonlinear regression of one taxometric indicator variable on another. Sufficient conditions for MAXSLOPE's validity are set forth. The relationship between the point of maximum regres...

Let R be a 2-torsion free ring and L a Lie ideal of R. An additive mapping F : R ! R is called a generalized derivation on R if there exists a derivation d : R to R such that F(xy) = F(x)y + xd(y) holds for all x y in R. In the present paper we describe the action of generalized derivations satisfying several conditions on Lie ideals of semiprime rings.