The importance of topology as a tool in preference theory is what motivates this study in which we characterize topologies generating by digraphs. In this paper, we generalized the notions of rough set concepts using two topological structures generated by out (resp. in)-degree sets of vertices on general digraph. New types of topological rough sets are initiated and studied using new types of topological sets. Some properties of topological rough approximations are studied by many propositions.

The present work covers the analytical design process of three dimensional (3-D) hip joint prosthesis with numerical fatigue stress analysis. The analytical generation equations describing the different stem constructive parts (ball, neck, tour, cone, lower ball) have been presented to reform the stem model in a mathematical feature. The generated surface has been introduced to FE solver (Ansys version 11) in order to simulate the induced dynamic stresses and investigate the effect of every design parameter (ball radius, angle of neck, radius of neck, neck ratio, main tour radius, and outer tour radius) on the max. equivalent stresses for hip prosthesis made from titanium alloy. The dynamic loading case has been studied to a stumbling ca

In this paper we introduce the basic of definitions of groups for geometric figures; we describe some of geometric figures by using the properties of groups. The classification of some geometric figures by using the properties of some algebraic structures.

It has become familiar to see alchemy as a methodological approach that combines conscious, diverse, psychological, social, structural, and discrete approaches in the communications technology that Marshall McLuhan found to be able to extend our bodies and senses, The media discourse has a deep and superficial structure produced by the first, with its social, cultural and historical backgrounds, in a context that connects the image with the word, as the "meanings are made" - everywhere, as described by Jonathan ) In fashion, in the arts as a whole, and from its "signs" Our analysis of «meaning», in the media, and communication through advertising, magazines, newspapers, television, and the Internet. Therefore, alchemy is preoccupied wi

Insulin resistance is a fundamental feature of obesity, diabetes, and cardiovascular diseases and contributes to many of the metabolic syndrome's abnormalities. It is defined as a subnormal reaction to normal insulin concentrations or a situation in which greater than normal insulin concentrations are necessary for normal response.

           The researcher found that neglecting our Arab Islamic heritage and bragging about what the West came in the field of education and psychology is common in our curriculum

So the researcher found it necessary to identify the thought of our media Arab Muslims like Ibn Al-Jawzi being a remarkable figure in the world of human thought therefore, the researcher in this research decided to identify his educational and psychological ideas and psychological emotions in his mind and methods of control and characteristics of the human soul and methods of development of the Muslim character by following the descriptive analytical approach.

In the name of God the Merciful
After .....
This is discussed in the hadeeth of Shaaban's speech, in which there is much talk in modern terms about the ruling
It has to be corrected, improved, weakened or denied, and it has a title (modern)
Shaaban's sermon is a modern study). It is an attempt to judge me after I come
In the text and then came out of the books and works that mentioned the sermon in its verses and then a statement of the ruling
And then I studied the rules and ruled them according to the rules
Followed by the scientists wound and amendment, and then the conclusion and deposited the most important results that came out
He accepts this purely for his generous consideration of this humble research, an

The research deals with a new type of high-performance concrete with improved physical properties, which was prepared by using metal additives minutes (Metakaolin) and by studing their impact on the properties of mortar and concrete high-performance through destructive and non destructive tests. This type of concrete is used broadly in public buildings and in other structures . The research involved a number of experiments such as finding the activity index of burned at a temperature of 750 º C according to the standard ( ASTM C-311/03), as well as casting models for the cubic mortar mixtures and concrete containers at different rates of metakaolin ranging between (5% - 20%) as an added part to the cement mix to get a high- compressive

Shoot tip of Actinidia chinensis plant were excised and sterilized with mercuric chloride (Hgcl2) at concentration 0.1% for 5 min, then cultured on MS medium supplemented with benzeladinine BA at concentration (0.0,0.5,1.0,2.0,2.5) mg/l in multiplication stage Moreover, indole butyric acid IBA at concentration (0.0, 0.5,1.0,2.0,4.0) mg/l and (0.0,0.5,1.0,2.0) mg/l on solid and liquid solution media respectively in rooting stage were studied. All experiments have done under controlled conditions (25 ±2) Cº and 1000Lux light intensity for 16 hrs / day. Results revealed that supplementing the media with BA at concentrations 2.0 and2.5 mg/l was superior to give highest rate of shoot and number of leaves reached 5.8 /explant and 6.0 l