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 speaker identification is one of the fundamental problems in speech processing and voice modeling. The speaker identification applications include authentication in critical security systems and the accuracy of the selection. Large-scale voice recognition applications are a major challenge. Quick search in the speaker database requires fast, modern techniques and relies on artificial intelligence to achieve the desired results from the system. Many efforts are made to achieve this through the establishment of variable-based systems and the development of new methodologies for speaker identification. Speaker identification is the process of recognizing who is speaking using the characteristics extracted from the speech's waves like pi

There is a variety of artificial foot designs variable for use with prosthetic legs . Most of the design can be divided into two classes, articulated and non-articulated feet. one common non-articulated foot is the SACH . The solid ankle cushion heel foot referred to as the SACH foot has a rigid keel .

One key or the key factor in designing a new prosthesis is in the analysis of a patients response .

 This view is the most important because if the foot does not provide functional , practical or cosmetically acceptable characteristics the patient will not feel comfortable with the prosthesis , therefore design and manufacturing a new foot is essential, this foot made from polyethylene, its different shape and characte

Iraq has a range of small and large marshes, which can be divided into two groups, a group of marshes feeding water from the Tigris and Euphrates rivers, and a group of marshes fed by the seasonal valleys coming from the desert plateau and the aljazera plateau.

The marshes have go through major changes, some of them turning into industrial lakes to store the flood waters of the Tigris and Euphrates rivers. Others have been dried up and turned into agricultural land. Others have dried up and the water has been returned to them in less quantities than before.

The purpose of this research is to but light on the changes that have occurred in these marshes, with the mention of marshes turned into industrial lakes or agricultur

       After the twenty – first century become  necessary for us motorcade era in educational a chevements by searching  for the best  strategies and teaching methods and  techniques  artotalbagesh  resorting to the strategy

Did not use in use in the teaching of the foreseeable  material  general by voice and teaching  perspective  for the student of the class fourth science

In particular ,so the researcher asking the question follows:

Can the peer education strategy to have an impact in perspective drawing skill development ?

   From here it demonstrated the importance of current research know the impact of  p

It is no secret to everyone that the Arab individual suffers from poor self-awareness and political awareness, which made the state and the importance of its existence and preserving its institutions not among his interests, which made researchers wonder about the possibility of strengthening it and the extent of its impact on the future of building the contemporary Arab state, so the study attempted Addressing the issue of community awareness and its impact on building the state through a clear intellectual vision that blended what is social and political to define the concept of community awareness and highlight its importance and role as a basic pillar in shaping and building modern Arab countries. In the Arab world and ways to enhanc

The research studies the semantic generation structures of
commodity names in the Baghdad dialect of Arabic, specifically
those names that reflect popular taste. Through descriptive field
studies of the social use of these words

Many writers and scientists hardly differentiate between the two instruments of use
(If) and (if) to convergence in the meaning, as they perform the meaning of the penalty and condition, as the answer relates to his condition, but when linguistic meditation we find a great difference in use in terms of meaning, so this research came to reveal these meanings and was extrapolated applied in Surat al-Maidah By counting the verses in which (if) and (if) the cops were given and looking at their contexts, the connotation of the cops in most places was within the context of probability, which is the origin of its use, given in twenty places of Surat al-Ma'idah, and it had multiple connotations according to the contexts of the verses received

Irak Türkmen edebiyatının divan şiirlerinde büyük simalardan sayılan , ve

Irak Türklerinin en içli şairi olan Osman Mazlum .Şiirleri yalnızlık hem ve kederle

dolu olan şairin , her zaman büyük bir üzüntüye kablandığı için bunun tüm

şiirlerinde yansıtmıştır . Her zaman kaderden şikayetci olan şiirlerinde (Mazlum)

mahlasını kullanmıştır . Şairin klasik edebiyatında önemli bir yeri vardır . Hoyrat

yoluyla edebiyata giren mazlum'un gönül yarası bu aşıkla dolunca feyizlenmeye

ve türlü nağmelerle seslenmeğe başladı . İşte bu güne kadar yazmış olduğu şiirler

o sesler hep ahang , terennüm ve tesavırıdır . Bende bu araştırmada i