The aim of our work is to develop a new type of games which are related to (D, WD, LD) compactness of topological groups. We used an infinite game that corresponds to our work. Also, we used an alternating game in which the response of the second player depends on the choice of the first one. Many results of winning and losing strategies have been studied, consistent with the nature of the topological groups. As well as, we presented some topological groups, which fail to have winning strategies and we give some illustrated examples. Finally, the effect of functions on the aforementioned compactness strategies was studied.  

The interplay of predation, competition between species and harvesting is one of the most critical aspects of the environment. This paper involves exploring the dynamics of four species' interactions. The system includes two competitive prey and two predators; the first prey is preyed on by the first predator, with the former representing an additional food source for the latter. While the second prey is not exposed to predation but rather is exposed to the harvest. The existence of possible equilibria is found. Conditions of local and global stability for the equilibria are derived. To corroborate our findings, we constructed time series to illustrate the existence and the stability of equilibria numerically by varying the different values

Breast cancer is one of the most important malignant diseases all over the world. The incidence of breast cancer is increasing around the world and it is still the leading cause of cancer mortality An Approximately 1.3 million new cases were diagnosed worldwide last year. With areas rising increasing, risk factors for breast cancer including obesity, early menarche, alcohol and smoking, environmental contamination and reduced or late birth rates become more prevalent. In Iraq, breast cancer ranks first among types of cancers diagnosed in women. This study was conducted on one hundred twenty women with breast cancer that was evaluated and investigated for the possible role of the risk factors on the development of breast cancer in females. T

Background: The immunogenetic predisposition
may be considered as an important factor for the
development of Type 1 Diabetes Mellitus (T1DM)
in association with the HLA antigens.
Objective:This study was designed to investigate
the role of HLA-class II antigens in the etiology of
type T1DM and in prediction of this disease in
siblings, and its effect on expression of glutamic
acid decarboxylase autoantibodies (GADA).
methods:Sixty children who were newly diagnosed
type 1 diabetes (diagnosed less than five months)
were selected. Their age ranged from 3-17 years.
Another 50 healthy siblings were available for this
study, their ages range from 3-16 years. Eighty
apparently healthy control subjects,

Greek theatre and roman theatre don’t let for woman with working in the theatre such as writer , directing and acting theatre , so appear term women theatre in past sixty central because the woman feeling with iniquitousness in your life , so this search included several sections that include money parts . Part one is term theatre women. Part two causes show the women theatre. Part three jenouse women in writer, direction, and action in the world. Part four jenouse women in the Arab theatre. Part fife Iraqi woman jenouse in the theatre. Section tow includes analyses for once performance Iraqi theatre that include several women. This performance from editor and direction by kaseem – Muhammad, assistant in the direction montaha – rah

The present research studies numbers and its uses in the Islamic ornament. The study consists of four chapters; the first is dedicated to the problem of the research, the value of the study, and the aim of the study, and its limit. The problem of the study deals with the uses of numbers in Islamic ornament and how these numbers were used for aesthetic purposes. What are the analytical bases that enable us to read the geometrical compositions ornament numerically? The value of the research is the study forms an analytical and visual study of the numbers in the Islamic ornamentation. Additionally, this study is an aesthetic assessment to the philosophy of the number and its uses in Islamic architecture. The study is limited to the ornament

The problem of the study crystallized in the following main question: What is the role of media awareness in building the student’s personality according to the opinions of a sample of middle school students? The importance of the research derives from the importance of media awareness being an important variable in building the student’s personality. The sample size was (50) students at Al-Kadhimiya Al-Sabahiya Preparatory School for Boys. In this research, a scale was used to measure the role of media awareness in building personality through (16) items on three axes (cognitive, skill, emotional), and the validity and reliability of this scale were extracted, and the results showed the following:

Praise be to God, who taught with the pen, taught man what he did not know, and may blessings and peace be upon our master Muhammad, may God bless him and grant him peace, and upon all his family and companions.
As for after......
The science of financial transactions is one of the important topics that Muslims must need at all times and places, due to its great importance in clarifying the ruling of the Shari’ah on contemporary financial issues.
The jurists, may God have mercy on them, have spoken about financial issues in all their aspects in detail, as in the Book of Sales, whether in terms of the validity of the sale, its invalidity, or its invalidity, i.e., the invalidity of the sale. Among these issues is the issue of th