In a connected graph , the distance function between each pair of two vertices from a set vertex  is the shortest distance between them and the vertex degree  denoted by  is the number of edges which are incident to the vertex  The Schultz and modified Schultz polynomials of  are have defined as:

 respectively, where the summations are taken over all unordered pairs of distinct vertices in  and  is the distance between  and  in  The general forms of Schultz and modified Schultz polynomials shall be found and indices of the edge – identification chain and ring – square graphs in the present work.

The construction process of reception containing rebuild educated new gloss within the context of real-time knowledge with previous experience and learning environment, accounting for all of the real experiences and information beside Education backbones structural climate (olive 0.2002: p. 212 .) Based on two basic principles - : I: - The natural science that we do know from our experiences, we can not say for sure Bhakaigah realism and clearly, but built by creative minds of certain interpretations be applicable in light of our expectations. Other: - The knowledge built effectively active learner who adapts new knowledge with the conceptual framework has, since everyone has a conceptual framework can break at any time and replaced by a ne

Today, the prediction system and survival rate became an important request. A previous paper constructed a scoring system to predict breast cancer mortality at 5 to 10 years by using age, personal history of breast cancer, grade, TNM stage and multicentricity as prognostic factors in Spain population. This paper highlights the improvement of survival prediction by using fuzzy logic, through upgrading the scoring system to make it more accurate and efficient in cases of unknown factors, age groups, and in the way of how to calculate the final score. By using Matlab as a simulator, the result shows a wide variation in the possibility of values for calculating the risk percentage instead of only 16. Additionally, the accuracy will be calculate

The region is defined by the spatial dimension, which consists of a set of stabilizers (towns and villages). The concept of the territory requires conditions on the nature of functional relations and the mutual influence of the regions within the region. Any territory must be based on the interdependence and interaction between the mother city and its surrounding countryside and cities, and when the interdependence is strong and the interaction is clear, it helps to define the territory. The regions are divided on different bases. There are geographically or national homogeneous regions, and there are cultural regions that want to preserve their culture in terms of language or religion. There are administrative regions to manage

Academic achievement is a professional standard for measuring student levels in the first stages. Therefore, any indication of the level of achievement makes us in an attempt to employ students in evening schools. The researcher has developed a closed questionnaire of (36) paragraphs. A total of (164) male and (24) female students were chosen from evening schools. The result of this research revealed that the number of students was a reason for the low level of their achievement, the lack of laboratories, educational methods, and techniques of the most prominent problems confirmed by students in these schools. In addition, to support educational institutions with their necessary needs. The most important conclusion in this research is th

يهدف هذا البحث الى التطرق الى صورة العربي كما يعرضها ادب اليافعين العبري في رواية " نادية " للكاتبة العبرية " كاليلا رون فيدر " . والتي تعد من الاديبات العبريات اللواتي تطرقن بصورة مباشرة الى موضوع ما خلف الجدار ، والصراع العربي – الإسرائيلي وانعكاساته على المجتمع الإسرائيلي بصورة عامة والمجتمع العربي بصورة خاصة . ينقسم هذا البحث إلى ثلاثة فصول، تطرق الفصل الأول  إلى "ادب اليافعين"، و تاريخه ، مميزاته والفئ

The research aims to know the reverberation of the the electronica news bulletin of the ministry of higher education and scientific research  in the newspapers of: (AL-Taakhi, AL-Zaman, ALAdala,AL-Sabah and Baghdad) for period from 2^nd October 2011 to 1^st November 2011 to explain its activity and advantage for the other newspapers and to show the importance which the newspapers showed for the study of the news subject in the bulletin, as well as,to show the proportional differences in which the newspapers interested in the subjects of the published news, and to reach to the results which lead us to good conclusions for the service of decision owner and open new horizons for the researchers to expanding in the s

In the lifetime process in some systems, most data cannot belong to one single population. In fact, it can represent several subpopulations. In such a case, the known distribution cannot be used to model data. Instead, a mixture of distribution is used to modulate the data and classify them into several subgroups. The mixture of Rayleigh distribution is best to be used with the lifetime process. This paper aims to infer model parameters by the expectation-maximization (EM) algorithm through the maximum likelihood function. The technique is applied to simulated data by following several scenarios. The accuracy of estimation has been examined by the average mean square error (AMSE) and the average classification success rate (ACSR). T

A CRITICAL OVERVIEW IN SELECTED POEMS