This paper contains an equivalent statements of a pre-  space, where  are considered subsets of with the product topology. An equivalence relation between the preclosed set  and a pre-  space, and a relation between a pre-  space and the preclosed set  with some conditions on a function  are found. In addition, we have proved that the graph  of  is preclosed in if  is a pre-  space, where the equivalence relation  on  is open.

     On the other hand, we introduce the definition of a pre-stable ( pre-stable) set by depending on the concept of a pre-neighborhood, where we get that every stable set is pre-stable. Moreover, we obtain that

The quote of a Canadian communication scientist (Marshall McLuhan) (“The world has become an electronic village”) has become an archaic information compared to the great and rapid development of communication in the last two decades of the 20th century and what will happen later in the 21st century, to the extent that the world is called, thanks to the internet, a “Small screen” and this fact is a sign of the great progress that has been made in this field. As for the other statement of the Canadian communication scientist mentioned before “the medium itself, is the message”, it has been renewed and developed in its meaning and it’s purpose. Each new technical development in the means of communication necessarily means a me

I came back and made my jewelery from the first research or studies known to man, and the oldest era and confirmed the problem of searching for the links of sweets and admiration of the magnificence of the effectiveness of the search for the importance of preserving the heritage of the Iraqi civilization in its original creative aspects. Metal in Iraq, Head Costume, Neck Costume, Party Costume (Hands and Legs). The main results of the research were;

1-Contemporary folk jewelry in Iraq was characterized by design units for use.

Dependence in the feed industry in the form of laboratory mold.

  The purpose of this research shed light on the analysis of the relationship between training needs and organizational commitment and the role of a variable contract psychological, and start search of a dilemma thought provoking fundamental questions revolve around the search was the answer to all those questions of tricks theoretical framework to the variables of research first and test models of the relationship and impact secondly During six hypotheses major, The objective of the research the impact of the factors that affect training needs in organizational commitment center the psychological contract, and applied research on a sample of 100 individuals working in the engineering department and maintenance at the D

Many nations are seeing an increase in water pollution from dairy and cheese production due to the high organic and fat content in their waste products and the high temperature of their waste products, which elevates the water temperature and causes loss to ecosystem components. Reusing industrial wastewater that has been treated to guarantee no harm has been done to the environment is being hampered by a lack of water. This study compares the presence and absence of mixing in the anaerobic biological treatment of liquid waste for the cheese industry. To decrease heat exchange with the external environment, cube-shaped anaerobic reactors with dimensions of (30 x 30 x 30) cm and thick glass (10 mm) were utilized in this investigation

Joints are among the most widespread geologic structures as they are found in most each exposure of rock. They differ greatly in appearance, dimensions, and arrangement, besides they occur in quite different tectonic environments. This study is important because joints provide evidence on what kind of stress produced them (history of deformation) and also because they change the characteristics of the rocks in which they occur. The Measured data of joints from the studied area which are located in the high folded zone – Northeast of Iraq, were classified according to their relationship with the tectonic axes by projecting them stereographically using Schmidt net in GEOrient ver.9.5.0 software. The joint systems revealed the orientation of

The Legend between reality and its future Treatment in threatre analytics study