Necessary and sufficient conditions for the operator equation I AXAX n*, to have a real positive definite solution X are given. Based on these conditions, some properties of the operator A as well as relation between the solutions X andAare given.

Perhaps one of the most pillars in building communities, and to achieve consistency between its members, is the volunteer work, he is a humanitarian exercise been closely associated with all the meanings of goodness and righteousness since ancient times, but it differs in size and shape and motivations and trends from one community to another, and from time to time; while at least in the stages of calm and stability, it increases in disasters and calamities and wars times, and perhaps (the popular crowd) is the best proof of that, they answered a call reference, and volunteered to defend their land and their holy places. In terms of form it may be donating money or effort or profession or otherwise, either in terms of the trend may be di

       Insurance companies seeking to develop programs to promote and market their services and to increase its customer through the use of modern technical marketing and reduce its dependence on agents and take advantage of work of the banks by alliances with them and including reinforcing get the parties to competitive advantages in the financial market , the insurance services intangible service stops marketed over the insurance awareness and   requires exceptional promotional efforts.                                   &nbs

The expressive discourse, in the form of the rural singing, is considered one of the interactive framework and the metaphorical dialogues in creating the aesthetic climate that connects the circles of its basic elements, singing, playing music, expression, costumes, sham movements and so forth.  

     The rhetorical language in this field includes all those parts and turns them into an integrated idea within the culture of the musical science, specifically the heart of the rural singing. This research dealt with a number of topics of relevance in the expressive discourse for the form of the rural singing. The first chapter consists of the methodological framework of the research, represented by the r

In this paper, the effective computational method (ECM) based on the standard monomial polynomial has been implemented to solve the nonlinear Jeffery-Hamel flow problem. Moreover, novel effective computational methods have been developed and suggested in this study by suitable base functions, namely Chebyshev, Bernstein, Legendre, and Hermite polynomials. The utilization of the base functions converts the nonlinear problem to a nonlinear algebraic system of equations, which is then resolved using the Mathematica^®12 program. The development of effective computational methods (D-ECM) has been applied to solve the nonlinear Jeffery-Hamel flow problem, then a comparison between the methods has been shown. Furthermore, the maximum

The Arab Islamic art was best known as pure abstraction or realism distorted from what is natural. The two styles, or one of them, was the most prominent in the Islamic arts, such as decoration, photography and architecture. The analogy that was prevalent in the non-Islamic world did not have a presence equivalent the aforementioned styles despite the great openness to the cultures of different countries, which characterized that stage, which resulted from the Islamic conquests, the conversion of many people to the Islamic faith, and their migration to the Islamic cities at the time, bringing with them their arts and methods of formulation. This makes us question the influential references that invite the Arab Muslim artist to follow the

Biodiversity, biological diversity, biological diversity, biological diversity, biological diversity, biological diversity, biological diversity (by developmental factors) environmental factors and environmental factors environmental factors and environmental factors and environmental factors Correlation between biology and the succession of geological and historical factors of living organisms and geological and historical factors to the site and what It is surrounded by natural and tourist attractions and the pursuit of scientific methods in order to advance the studies of biological diversity in the region .