In this paper, Nordhaus-Gaddum type relations on open support independence number of some derived graphs of path related graphs under addition and multiplication are studied.

Manuscript (Tuhfat Al-Ashaba and the Nuzha Al-Kulbab) by Ahmed bin Ibrahim Al-Hanafi Al-Suruji (d.710 AH / 1310 AD), one of the important manuscripts as an encyclopedia characterized by the diversity of its topics

تهدف الدراسة الحالية الى استعمال الانموذج اللوجستي ثنائي المعلم في تدريج مقياس الشخصية الافتراضية المتعدد الابعاد لطلبة الجامعة وفقا لنظرية الاستجابة للفقرة، والخروج بتعميم لنتائج البحث والوقوف على الاجراءات العلمية المناسبة وتوفير تطبيق عملي علمي صحيح لاعتمادها من قبل الباحثين. وقد اتبعث الباحثة الاسلوب العلمي من خطوات واجراءات في عملية بناء المقياس حيث حدت ابعاد الشخصية الافتراضية المتمثلة بسبع ابعا

The research aims to identify the reality of administrative motivation for the deans of the faculties of physical education and sports sciences at the universities of Baghdad and Al-Mustansiriya from the point of download of the faculty members. The number of the exploratory sample was (7) faculty members, they were taken in a random way, while the rest of the sample number was (150) faculty members who considered the application sample for the scale, and the two researchers also adopted a questionnaire for the scale and it is applied to the Iraqi environment. phrase, which are phrases that are interrelated with the administrative leadership motivation in the faculties of physical education and sports sciences. The researchers did not make

Research questions  start from the fact that what the Arab origins of education  indicted . First question are :

- To what extent the subject of assets acquired a specific meaning in the Arabic books and educational subjects ? Is these selections are reflected on the classification of assets and their types ?
- What’s the nature of the content ? .Is there a consistency between the meaning and content ?

- What entrances handling and curriculum approach and tactics are in those books ?

- Is the assets subject introduced within  the grade  best suited ?

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In this work, the effect of the addition of bright nickel plating and silver carried out by the electroplating method has been studied, on the coating of copper nanoparticles on the copper base metal via the process of thermal evaporation. The improvement of the solar absorber using CuNP in combination with the bright nickel and silver was obtained to be better than copper nanoparticles individually. A bright nickel enhanced the absorbed thermal stability. Also, other optical properties, absorptions, and emissivity slightly decreased from (93% to 87%), while the existence of silver had a slight impact on absorption of about (86.50%). On the other hand, thermal conductivity was evaluated using hot disk analyzer. The results showed a good

الملاخص كامل

      The name of princesses  Ashraf Bhlwi was associated with very important events influnced on social polical Iranian fact through second half of twentieth century, with access Dr.Mosaddeq to cabinet on May 1951, The conflict seemed between him and princesses Ashraf in creasingly, when Mosaddeq came to authority he had many projects deal with oil industry laws in Iran and reform the elections laws, reducing terms of reference of Al shah and made it honorable only,  This matter disturbance Royal court especially, Ashraf, she started to coordinate with members of the shura council and other military personalities in order to over throw Mosaddeq cabinet but she failed because Mosaddeq supported by Irani

The objective of the current research is to identify the effective of the suggested instructional design that based on the teaching strategy for understanding in achievement for students(girls) of mathematics in the fifth grads secondary school. To achieve the research goal, the empirical research method is depended. In this method a realistic empirical design pre-test of two equivalent sets to determine the students’ grade is used. The following zero hypotheses is formulated “There is no statistical difference for the faction at 0.05 between the mean grad for the students of the empirical group who studied the subject using the Instructional design based on the teaching strategy for understanding and those who studied the same subje

Grey system theory is a multidisciplinary scientific approach, which deals with systems that have partially unknown information (small sample and uncertain information). Grey modeling as an important component of such theory gives successful results with limited amount of data. Grey Models are divided into two types; univariate and multivariate grey models. The univariate grey model with one order derivative equation GM (1,1) is the base stone of the theory, it is considered the time series prediction model but it doesn’t take the relative factors in account. The traditional multivariate grey models GM(1,M) takes those factor in account but it has a complex structure and some defects in " modeling mechanism", "parameter estimation "and "m