34 research outputs found

    On the Continuous embeddings between the fractional Haj{\l}asz-Orlicz-Sobolev spaces

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    Let GG be an Orlicz function and let α,β,s \alpha, \beta, s be positive real numbers. Under certain conditions on the Orlicz function G G , we establish some continuous embeddings results between the fractional order Orlicz-Sobolev spaces defined on metric-measure spaces Wsα,G(X,d,μ)W_s^{\alpha, G}(X, d, \mu) and the fractional Haj{\l}asz-Orlicz-Sobolev spaces Mβ,G(X,d,μ)M^{\beta, G}(X,d,\mu)

    Predicting Nitrate Levels in the Saïss Water Table: A Comparative Study of Machine Learning Methods

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    The main goal of this study is to predict nitrate (NO3-) levels in the Saiss basin water table as a function of various physicochemical parameters. To accomplish this, three machine learning approaches were utilized: multiple linear regression (MLR), super vector regression (SVR), and artificial neural networks (ANN). The independent variables were composed of six water quality parameters, including Ca2+, Na2+, EC, Cl-, HCO3-, and SO42-. The study utilized a dataset of 389 water samples collected between 1991 and 2017. The artificial neural network (ANN) was trained using the Levenberg-Marquardt (LM) algorithm, which was selected from various optimization algorithms. Additionally, during the training of the SVR model, it was observed that the RBF kernel outperformed the other kernels (linear, polynomial, and sigmoid kernel). The results were analyzed by the coefficient of determination (R2) and the mean square error (MSE). The results of the MLR method revealed R2 (0.523) and MSE (757.34). The ANN model with architecture [6-20-1] performed better than RLM with R2 = 0.836, MSE= 0.023 The SVR model result confirms what has been proved by ANN concerning the performance, with R2=0.902 and MSE= 4,364

    Déclaration d'Errachidia et lignes directrices pour le développement durable des écosystèmes oasiens.

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    Contexto tectónico de los diapiros triásicos del frente de deformación de la cordillera del Rif, Norte de Marruecos

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    Located at the front of the external Pre-Rif, northern Morocco, at the edge between the Rif cordillera and the Saiss neogen basin, Triassic diapirs constitute one of the main features of this area, occurring within the Meso-Cenozoic allochthonous formations. In order to understand their geological setting and evolution during the Meso-Cenozoic times, we carry out a geological study based on structural analysis and fracturing field investigations. The obtained results are completed by previous geophysical and seismic works. The rising salt bodies (halite, anhydrite and gypsum) in those diapirs was controlled by the two NW-SE and NE-SW system faults from the Mesozoic to the Quaternary. The contacts between the Triassic material and the Miocene sedimentary marls are discussed. Some mapped tectonic contacts, considered as thrusting faults are in fact stratigraphic limits, which are characterized by polygenic conglomerates. These arguments allow us to review the whole history of these salt walls and to discuss their current geometryLa zona de estudio se ubica en el frente del Pre-Rif externo (norte de Marruecos), en el límite entre la cordillera del Rif y la cuenca neógena del Saiss, y se caracteriza por presentar diapiros triásicos dentro de las formaciones alóctonas Meso-cenozoicas. Para comprender su contexto geológico y su evolución durante el Meso-Cenozoico, realizamos un análisis estructural basado en medidas de fracturación en los materiales que rodean estos diapiros. Los resultados obtenidos se completan con trabajos geofísicos y sísmicos previos. El ascenso de material diapírico (halita, anhidrita y yeso Triásicos) fuo controlado por un sistema de fallas de dirección NW-SE y NE-SW desde el Mesozoico al Cuaternario. El análisis de los contactos entre el material del Triásico y las margas sedimentarias del Mioceno ha revelado que algunos de los contactos tectónicos cartografiados como fallas son en realidad límites estratigráficos caracterizados por conglomerados poligénicos. Este trabajo supone una revisión de la evolución de estos diapiros y un análisis de su geometría actua

    Brachial Plexus Rupture: A Neglected Trauma, Is There Any Hope?

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    Teaching point: Magnetic resonance imaging (MRI) has significantly improved the evaluation of brachial plexus injuries, offering new possibilities for microsurgical repair and contributing to the functional prognosis

    Density properties for fractional Musielak-Sobolev spaces

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    In this paper, we introduce a new fractional Musielak-Sobolev space Ws,Φx,y(Ω)Ws,{\Phi}x,y({\Omega}) where Ω{\Omega} is an open subset in RN and we show some density properties of smooth and compactly supported functions in this space
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