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 Arabic grammatical theory is characterized by the characteristics that distinguish it from other languages. It is based on the following equation: In its entirety a homogeneous linguistic system that blends with the social nature of the Arab, his beliefs, and his culture.
    This means that this theory was born naturally, after the labor of maintaining an integrated inheritance, starting with its legal text (the Koran), and ends with its features of multiple attributes.
Saber was carrying the founding crucible of that theory, which takes over from his teacher, Hebron, to be built on what it has reached. It is redundant to point to his location and the status of his book.
So came to my research tagged: (c

Background: Understanding Middle Eastern Culture in literature is essential for engaging readers worldwide. A society's culture can be reflected through literature. To this end, this study aims to identify the stylistic patterns that reflect Middle Eastern culture in the selected data and to examine how the multilevel approach of this study helps to locate these patterns. Ibtisam Barakat’s Tasting the Sky: A Palestinian Childhood (2007) memoir is selected as the data of the study. Methodology: the cognitive corpus stylistic approach is applied to identify language patterns and stylistic features in the selected data. The multilevel method targets the language patterns that reflect the culture of the Middle East in th

Fencing is characterized by rapid and sudden changes that require speed in decision-making and motor responses. In addition, it requires high sensorimotor awareness and strong coordination between leg, arm, and eye movements. In the current study, the researchers used cognitive coordination response speed exercises and physical and skill exercises in order to develop performance in the time counterattack. The aim of the study is to identify the effect of cognitive coordination response speed exercises on the performance of the time counterattack of female foil fencers. An experimental method was used on the female fencing team players at the College of Physical Education and Sports Sciences for Women/University of Baghdad in the spo

Problem: Cancer is regarded as one of the world's deadliest diseases. Machine learning and its new branch (deep learning) algorithms can facilitate the way of dealing with cancer, especially in the field of cancer prevention and detection. Traditional ways of analyzing cancer data have their limits, and cancer data is growing quickly. This makes it possible for deep learning to move forward with its powerful abilities to analyze and process cancer data. Aims: In the current study, a deep-learning medical support system for the prediction of lung cancer is presented. Methods: The study uses three different deep learning models (EfficientNetB3, ResNet50 and ResNet101) with the transfer learning concept. The three models are trained using a

         The purpose and goal of the research revolve around the diagnosis of intellectual capital as the logical indicator to study an effective human resource management practice and its influential role in determining the overall quality management of higher education institutions and scientific research in Baghdad.

       To achieve the purpose of the research, an upgraded standard questionnaire was used to collect data and distribute it to the selected sample in a statistical manner from the study population of (5) institutions affiliated with the Ministry of Higher Education and Scientific Resear

The brief description to the theory of propagation of electromagnetic waves in plasma was done. The cutoff and resonance regions have been showed. The principles of plasma heating at electron cyclotron resonance (ECRH) method have been mentioned. The numerical simulation to three different station: Tosca station in United Kingdom, ISX-B station in USA and T-10 station in Russia had been done. The optical depth and the friction of energy absorbed A have been calculated. The simulation results indicate that both and A are increase with size of the tokamak and it is possible to obtain full absorption in large tokamak.