In this paper, a new class of nonconvex sets and functions called strongly -convex sets and strongly -convex functions are introduced. This class is considered as a natural extension of strongly -convex sets and functions introduced in the literature. Some basic and differentiability properties related to strongly -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 -convex. 

Given a matrix, the Consecutive Ones Submatrix (C1S) problem which aims to find the permutation of columns that maximizes the number of columns having together only one block of consecutive ones in each row is considered here. A heuristic approach will be suggested to solve the problem. Also, the Consecutive Blocks Minimization (CBM) problem which is related to the consecutive ones submatrix will be considered. The new procedure is proposed to improve the column insertion approach. Then real world and random matrices from the set covering problem will be evaluated and computational results will be highlighted.

This paper presents the results of experimental investigations to predict the bearing capacity of square footing on geogrid-reinforced loose sand by performing model tests. The effects of several parameters were studied in order to study the general behavior of improving the soil by using the geogrid. These parameters include the eccentricity value, depth of first layer of reinforcement, and vertical spacing of reinforcement layers. The results of the experimental work indicated that there was an optimum reinforcement embedment depth at which the bearing capacity was the highest when single-layer reinforcement was used. The increase of (z/B) (vertical spacing of reinforcement layer/width of footing) above 1.5 has no effect on the re

This research is an initial attempt to explore the reality of reform and its concept in Islam, and to describe the presence of educational practices in the Arab-Islamic heritage. The importance of this research lies in addressing a number of important issues related to the contemporary Islamic reform system. The research showed the need for authentic educational reform values that draw their reference from the origins of Islam. The research also emphasized the analysis of the reality of education in the Muslim world and the identification of its problems and the search for solutions through a quick and comprehensive look at the diverse contributions of Muslim thinkers to Islamic educational reform thought, and their active role in addressin

The Gulf Cooperation Council (GCC) is the only one in the Arab system, which has been able to formulate a strategic vision with its dimensions and objectives, and that for its great achievements have contributed significantly to the development of the external and internal economic relations of the Gulf Cooperation Council six through the consolidation of economic policies, projects and joint institutions . There is no doubt that the establishment of the Cooperation Council for the Arab Gulf States six, has made security expensive as long as the aspiration to them the leaders and peoples of the region is the adoption of the GCC countries on itself in order to build a self strength ensures cut off the road to all interference in the affai

This study try to discovering continuity in heritage, from its engaged with emotional side, the core of study is Islamic architectural, these architectural result still estate with time, due to role of it with Islam law, importance of continuity from finding real things of essential architects result The research reaching to concept of thoughtstaying, for Islamic heritage, as basic factor in continuity process by it is architecture. The mostly searches seeing imitation of figures as recently events, or as final result to stage conditions state, but we must remember the Islamic thinking as base stone to architecture results

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the pursue of social  systems history present to us solid evidence that the collapse of  that systems be caused by either the stagnancy aftermath maturity or unreal intellectual foundation which lead to sudden collapse, while the capitalism can avoided that intellectual damages due to its dynamic system with appropriate  auto adaptation mechanism and use it excellently in the right time.

The globalization had excrete (as one of the capitalism adaptation mechanism) its own targets and its methods in framework of multinationals corporations which consist with capitalism states that employed the international organizations to reconstruction the global economy to serve such targets. So the glob

The issue of freedom is the most prominent and distinctive issue of Western thought, which it reached after a long struggle. The English thinker John Stuart Mill is considered the most prominent Western thinker who elaborated on the issue of freedom, until his ideas on the issue of freedom became the semi-final formula for issues of freedom in Western thought, which revolve in their entirety on The individual has complete freedom as long as it does not harm others, and this freedom is controlled by law.

And if the freedoms he offered were not considered an achievement in Western thought; Freedom in Islam is a central and fundamental issue, and the details of freedoms in Islam have not been accomplished by anyone, but rather came