In this work, we present piecewise constant Galerkin method for a class of Cauchy singular integral equations of the second kind with constant coefficients in L2([0,1],C), using a sequence of orthogonal finite rank projections. We prove the existence and uniqueness theorems for the Cauchy integral equation and the approximate equation, respectively. We perform the error analysis for which we give new and improved estimates for the rates of convergence. Numerical example illustrates the theoretical results.

In this paper, a new junctionless optical controlled field effect transistor (JL-OCFET) and its comprehensive theoretical model is proposed to achieve high optical performance and low cost fabrication process. Exhaustive study of the device characteristics and comparison between the proposed junctionless design and the conventional inversion mode structure (IM-OCFET) for similar dimensions are performed. Our investigation reveals that the proposed design exhibits an outstanding capability to be an alternative to the IM-OCFET due to the high performance and the weak signal detection benefit offered by this design. Moreover, the developed analytical expressions are exploited to formulate the objective functions to optimize the device performance using Genetic Algorithms (GAs) approach. The optimized JL-OCFET not only demonstrates good performance in terms of derived drain current and responsivity, but also exhibits superior signal to noise ratio, low power consumption, high-sensitivity, high ION/IOFF ratio and high-detectivity as compared to the conventional IM-OCFET counterpart. These characteristics make the optimized JL-OCFET potentially suitable for developing low cost and ultrasensitive photodetectors for high-performance and low cost inter-chips data communication applications.

Pour son grande importance, et son rôle qui est la base de l’industrie, on trouve plusieurs travaux de recherche qui sont consacrés à l’étude du l’usinage afin d’augmenter la productivité, d’améliorer la qualité du produit et aussi de concevoir des machines-outils capables de satisfaire les besoins du marché. Ces études nécessitent la compréhension du processus du phénomène de coupe afin de déterminer les paramètres de coupe. Ce travail de recherche est une approche pour prédire les efforts de coupe pour le fraisage périphérique en utilisant la théorie prédictive de l’usinage d’Oxley [1] et en se basent sur la loi de comportement de Johnson-Cook [2] pour le matériau usiné.

This study was planned to determine the frequency of β-thalassemia mutations in Batna region (Northeast Algeria). Nineteen blood samples of clinically thalassemic children patients were collected from Department of Pediatrics, University Hospital of Batna. We carried out the molecular genetics of beta globin gene by the method of minisequencing using Snapshot™ kit (Applied Biosystems) in search of the four most common HBB genetic variants including three β-thalassemia mutations: codon 39(C>T) (HBB: c.118C>T), IVSI-110(G>A) (HBB: c.93-21G>A), and IVSI-1-2(T>G) (HBB: c.92+2T>G), as well as the hemoglobin S variant (HBB: c.20A>T). We used direct DNA sequencing to detect the rare mutations of beta-globin gene. We have revealed the presence of four different β-globin gene mutations responsible for β-thalassemia in Batna region. According to our results, the nonsense mutation at codon 39 (C>T) is the most frequent mutation type in our province, the same as other geographical regions of Algeria. It is followed by codon 54(-T), detected in a second Algerian family (the proband was homozygote), and the first association of Hb Knossos: codon 27 (G>T) allele with codon 39 (C>T) in the Algerian population. Here we reportws also the association of codon 39(C>T) with IVS-I-110 (G>A). Our preliminary results show the predominance of codon 39 (c>t) mutation of HBB gene in Batna region