The present paper deals with the peristaltic motion of Jeffrey fluid with varying temperature and concentration through a porous medium in a coaxial uniform circular tube. The fluid is assumed to be non-Newtonian, namely Jeffrey fluid. The inner tube is uniform, while the outer flexible tube has a sinusoidal wave traveling down its wall. The analytical formulas of the velocity and temperature have been obtained in terms of the Bessel function of first and second kinds. The numerical formula of the axial velocity, temperature and concentration are obtained as functions of the physical parameters of the problem (Darcy number, magnetic parameter, thermal Grashof number, Reynolds number, Prandtl number, and Schmidt number) with other physical parameters are obtained. The Influence of physical parameters of the problem on this formula are discussed numerically and illustrated graphically through a set of figures.

Magneto hydrodynamic --- Jeffrey Fluid --- Variable Viscosity --- heat transfer --- Porous Channel.

The aims of this study are to introduce the acceleration methods which are called inverse triangular acceleration methods and inverse hyperbolic triangular acceleration methods, which we generally call Al-Tememe's acceleration methods of the second kind discovered by (Ali Hassan Mohammed). It is useful to improve the numerical results of continuous integrals in which the error is of the 4th order, and regarding to accuracy, the number of used partial intervals and how fast is to get results especially to accelerate the results that can be got by using Simpson's method. Also, it is possible to utilize it in improving the numerical results of differential equations ,where the main error is of the forth order.

Al-Tememe's acceleration methods --- Al-Tememe's inverse sine triangular acceleration --- inverse cosine --- inverse triangular acceleration methods

In this paper, we investigate the estimator of variance components of one-way repeated measurements model (RMM) using MINQUE-principle (Rao 1971a and Rao 1971b) and method of MINQUE (1) which using priori values for components of variance.

Quadratic Estimator --- Repeated Measuremеnts Model --- Minimum Norm Quadratic Unbiased Estimator (MINQUE) --- MINQUE (1) --- Variance Components --- Quadratic Form --- Estimation --- Moorе-Penrose generalized inverse.

In this article we conceder the logistic regression model with high leverage points. For the logistic regression model with a binary response, we suggested a new robust approach called robust logistic regression (RLR) based on the robust mahalanobis distance (RMD) which depends on the minimum volume ellipsoid (MVE) estimators. The RMD is computed by using the algorithm of stochastic gradient descent (SGD). In order to assist the new suggested approach we compare it with some existing method such as maximum likelihood estimator and robust M-estimator in logistic regression model. The simulation study points that the RLR has supreme performances throw some measurement comparison.

Logistic regression model --- MVE --- RMD --- SGD and HLPs

According to the recently published research, the developed Information Retrieval systems are concerned with English language documents compared to all others in Arabic language. لإthe morphological difficulty of Arabic language increases the concerns for the availability of Arabic test copora. Therefore, This paper presents an Arabic information retrieval system for text documents. The proposed algorithm uses Cat Swarm Optimization to select the most important features with the cosine similarity. In addition, it finds the most relevant document to user query. The simulation results in using the standard NLEL of Arabic dataset corpus. The proposed algorithm for Arabic document retrieval uses swarm optimization with cosine similarity which provides effectively with accuracy 81.4%.

Keywords:Information --- Retrieval --- Arabic --- NLEL --- Cat --- Optimization --- Feature --- Selection.

In this paper, a new class of nonconvex sets and functions called strongly (E,F)-convex sets and strongly (E,F)-convex functions are introduced. This class is considered as a natural extension of strongly E-convex sets and functions introduced in the literature. Some basic and differentiability properties related to strongly (E,F)-convex functions are discussed. As an application to optimization problems, some optimality properties of constrained optimization problems are proved. In these optimization problems, either the objective function or the inequality constraints functions are strongly (E,F)-convex.

strongly E-convex sets --- strongly E-convex functions --- strongly (E --- F)-convex sets --- strongly (E --- F)-convex functions

Let M be a non-zero right module over a ring R with an identity. The weakly secondary submodule is introduced in this paper. A non-zero submodule N of M is weakly secondary submodule when Nab⊆K, where a, b∈R and K is a submodule of M implies either Na⊆K or Nb^t⊆ K for some positive integer t. Some relationships between this class of modules and other related modules are discussed and number of conclusions and characterizations are obtained.

weakly secondary submodules --- S-weakly secondary submodules --- weakly second submodules --- second submodules --- secondary submodules.

Wireless networked control systems (WNCS) are considered one of the main attracting topics in the control, communication and computing domains. One of the main problems that face these systems is the various time delays which occur in the measurements. The control design process would be complicated if there is a time delay in the feedback loop. Moreover, this delay affects the system performance in terms of instability. The literature of WNCS shows that the available controllers can deal with a limited number of nodes. Beyond this limit, the system becomes unstable. In this paper, an optimized Particle Swarm Optimization (PSO)-based PID and FOPID controllers are proposed for WNCS to control the plant wirelessly. The proposed controllers aim at minimizing the time delays and can make the system remains stable when the network tackles a large number of nodes with variable length packet sizes. The performances of the proposed optimized controllers are compared to show which one of them can be more robust against the challenges of WNCS, namely varying time-delays, to handle a greater number of nodes. The results show that the FOPID is more powerful than the PID controller.

WNCS --- PID --- FOPID --- PSO --- Time delay --- Number of nodes

In life, a chaotic system has many applications in different fields, including physics, biology, communication, and cryptography. In this study, a new hyperchaotic system is introduced. This hyperchaotic system is a two-dimensional system that is based on three maps-namely, logistic, iterative chaotic, and Henon maps. The dynamics of this system are investigated using maximal Lyapunov exponents, bifurcation diagrams, phase portraits, basin of attraction, and complexity via entropy. This system shows highly complicated dynamics. On the basis of the proposed system, a new algorithm for image encryption is also introduced. Confusion and diffusion can be achieved with this algorithm, which are fundamental demands. The stochastic behavior of this system is used to reinforce the security of the encrypted image. The image is divided into four parts, each of which uses a different random key established by the proposed chaotic system. The security of this cryptosystem is validated on the basis of key security parameters and common attacks.

Hyperchaotic --- Image encryption --- Chaotic encryption.

In this paper we discussed some theorems in fuzzy soft normed space , and we have some new results on separation theorems.

Fuzzy soft normed space --- fuzzy soft continuity --- fuzzy soft boundedness --- separation theorems.

The main aim of this work is to introduce the acceleration methods which are called the inverse triangular acceleration methods and inverse hyperbolic acceleration methods, which are considered a series of numerated methods. In general, these methods are named as AL-Tememe’s acceleration methods of first kind discovered by (Ali Hassan Mohammed). They are very beneficial to acceleration the numerical results for definite integrations with continuous integrands which are of 2nd order main error, with respect to the accuracy and the number of the used subintervals and the speed of obtaining results. Especially, for accelerating the results which are obviously obtained by trapezoidal and midpoint methods. Moreover, these methods could be enhancing the results of numerical of the ordinary differential equations, where the main errors are of 2nd order.

the inverse sine triangular acceleration rule for Al-Tememe of the first kind. We refer to it by (〖A^F〗_(sin^(-1) )). the inverse cosine triangular acceleration rule for Al-Tememe of the first kind --- We refer to it by (〖A^F〗_(cos^(-1) )).