DSpace 8

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Mathematics 4
(Echahid cheikh larbi tebessi university, 2026) Benseghir Roumaissa
Complex Analysis is an important area of mathematics that focuses on functions of complex variables and their unique properties. At first, it may seem like just an extension of real analysis, but it quickly reveals a much richer structure and more powerful results. What makes this field special is not only its theoretical depth, but also its wide range of applications in science and engineering. We usually start with complex numbers, learning how to represent them and perform basic operations. Moving to polar and exponential forms helps us understand them in a more intuitive way. Concepts like Euler’s formula and De-Moivre’s theorem are especially useful, as they connect different areas of mathematics and make many calculations simpler. As we go further, we study holomorphic functions and the Cauchy–Riemann equations, which are key to understanding differentiability in the complex plane. These functions behave in a very “well-organized” way, which allows us to obtain strong and elegant results. Closely related to this are harmonic functions, which appear naturally in many physical problems such as heat transfer and fluid flow. Another important part of the subject is power series, including Taylor and Laurent series. These tools allow us to express complex functions as infinite sums, which makes it easier to study their behavior, especially near certain points. They are also very useful in approximation methods used in engineering. Cauchy’s theory is one of the most powerful parts of Complex Analysis. It provides fundamental results that help us evaluate complex integrals and understand the behavior of functions in a deeper way. Building on this, the residue theorem gives us a very efficient method for solving integrals that would otherwise be very difficult using real-variable techniques. We also encounter special functions like the Gamma and Beta functions, which extend familiar concepts and appear in many applications, especially in probability and advanced mathematics.
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Effet d’une huile essentielle et de ces constituants sur certains ravageurs des denrées stockées
(Université Echahid Cheikh Larbi Tebessi, 2026-06-08) CHAIB Aya, KRAIDIA Wejdene
La présente étude vise à évaluer l'activité insecticide et répulsive de l'huile essentielle (HE) de Thymus vulgaris L. et de quatre de ses molécules bioactives l'eucalyptol, le ẞ-pinène, la carvone et le linalool à l'égard des adultes de Sitophilus granarius (L.) et de Tribolium confusum Jacquelin du Val, deux ravageurs majeurs des céréales stockées. Les essais toxicologiques réalisés par fumigation et ingestion ont mis en évidence un effet insecticide net avec une relation dose-réponse pour l'ensemble des composés testés vis-à-vis des deux espèces. L'activité répulsive, évaluée par la méthode de la zone préférentielle, a révélé un pouvoir répulsif significatif. Parmi les molécules bioactives testées, le ẞ-pinène a présenté l'efficacité insecticide la plus élevée, suivi de l'eucalyptol et de la carvone, tandis que le linalool a affiché l'activité la plus faible. Par ailleurs, l'ensemble des traitements appliqués aux concentrations testées a assuré une protection efficace des grains stockés contre les dommages causés par ces ravageurs, sans altérer leur pouvoir germinatif, attestant ainsi de leur innocuité pour une utilisation en protection des denrées stockées. Ces résultats soulignent le potentiel prometteur de l'HE de T. vulgaris et de ses constituants bioactifs en tant qu'alternatives naturelles et respectueuses de l'environnement aux pesticides de synthèse pour la gestion des ravageurs des céréales stockées.
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contribution à ľ ėtude des paramėtres ď estampage à choud des aciers
(UNIVERSITE DE ECHAHID CHEIKH LARBI TEBESSI, 2026-06-09) Menacer Khelifa encadré par Hannchi Mohamed Tahar
Dans cette étude on a les définitions du procédé de forgeage par estampage à chaud. Tout en indiquant les opérations de mise en forme en donnant les paramètres qui gouvernent l’estampage à chaud a caractère thermomécaniques. Finalement, une dans la partie expérimentale dont a pu déterminer les propriétés mécanique de l’acier considéré 20MC5 avant après estampage à chaud.
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Enhanced medical image diagnosis using a deep learning approach based on autoencoders
(UNIVERSITE DE ECHAHID CHEIKH LARBI TEBESSI, 2026-06-09) Ghalloussi Wissal / Filali Hiba encadré par Haouam Lotfi
Medical image analysis is essential for disease diagnosis, but its interpretation remains challenging. This thesis investigates the use of deep learning, particularly Convolutional Neural Networks (CNNs) and autoencoders, to automate medical image classification. Two case studies are presented: brain tumor classification from MRI images and pneumonia detection from chest X-ray images. The obtained results demonstrate high classification accuracy and confirm the potential of these approaches for developing computer-aided diagnosis systems.