In this paper we generalize Jacobsons results by proving that any integer  in   is a square-free integer), belong to . All units of  are generated by the fundamental unit  having the forms

Our generalization build on using the conditions

This leads us to classify the real quadratic fields  into the sets  Jacobsons results shows that  and Sliwa confirm that  and  are the only real quadratic fields in .

The education sector, before and after 2003, inherited a heavy legacy. Successive governments are trying hard to reduce the effects of that legacy by filling the shortage in school buildings. The best example of this is the shortage in public schools in Wasit governorate, as this governorate lacks a number of factors that make education in it. Vulnerable due to the lack of schools, where we find in most government schools that the number of students in one class is more than 50 male and female students, as most parents resorted to registering their children in private schools, so we will address in this research to some predictive methods to find solutions Where we dealt with the traditional trend methods represented by the exponential smoo

يهدف هذا البحث الى معرفة دور وتأثير برامج المشاركة في مقدرات الموارد البشرية ، ولغرض قياس ذلك فقد تم تحديد ابعاد هذين المتغيرين من خلال الاعتماد على مقاييس لهذا الغرض، وتم اختيار وزارة التعليم العالي والبحث العلمي/ جهاز الاشراف والتقويم العلمي كونها من الدوائر المهمة في الوزارة ويضم عدد كبير من الافراد في مستويات تنظيمية مختلفة لغرض الاجابة على الاستبانة التي اعدت لغرض القياس والوصول الى النتائج وتحقيق

The performance measures and traditional methods used in management accounting is no longer able to provide convenient to evaluate the performance of economic units in the modern manufacturing environment information، and so this information is more important and feasibility must be Mistohat of all the company's activities and functions، and it is a problem Find the inadequacy of information management accounting that contribute to meet the needs of the upper levels of management to cope with the problems resulting from the increased size and complexity of the business، and lack of management accounting information and methods used in the performance evaluation، which reflected negatively on the value chain activities and then on the

The notion of presupposition and its triggers have been studied by many scholars,
linguists and philosophers, but as far as the researcher knows, the investigation of
presupposition triggers in journalistic texts has not been explored yet. Therefore, the
present research tries to identify the main presupposition triggers used in English
journalistic texts. It is hypothesized that there are many presupposition triggers in
English journalistic texts. The steps to be followed in this study are exploring the
concept of presupposition, investigating the semantic and pragmatic presupposition,
and identifying the presupposition triggers used in the English journalistic texts
according to a model proposed by the resea

Alice Walker's novel The Color Purple1983, whose events take place in the rural Georgia and addresses the most important issues in the early 20^thcentury; like male dominant society and women submission to men, weaves a mosaic picture of male-female relationships. Black men like Alphonso, Albert and Harpo are portrayed as oppressors, cruel and they exercise power and violence over their wives and daughters. Through the negative portrayal of black male characters, Walker is accused to be a men hating writer because she ''Views oppression as an essentially masculine activity which springs from the male's aggressive need to dominate. In the novel, man is the premium mobile, the one by whom and t

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Suffer most of the industrial sector companies from high Kperfi magnitude of the costs of industrial indirect, lack of equitable distribution of these costs on the objectives of cost, increased competition, and the lack of proper planning in line and changes faced by the industrial sector (general) and sample (private), as well as the difficulty in re- directing efforts to improve profitability and in-depth analysis of activities, and to identify untapped resource activities, then link these activities to the final products  The research aims to apply the technology review and evaluate programs with the method (ABC) through the application stages of planning, scheduling and control and a comparison to get to the products of dev