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 .

This study Concentrates on modern variable in the human resources management that is Core Competency.

The field study is two of Public organizations, The first is Educational Baghdad Hospital, the other is the state Company for Batteries industry, the problem of the study determincs some questions and hypotheses. The data was Collected by questionnaire which Contains six Core Competences leader ship, Communication, frontline execution, development, innovation and self management .

The sample contains (26) doctores and (28) heads of departments in  the company.

The study points out many conclusions, the main of it, there is significant differences amon

Analytical Hierarchy Process (AHP) belongs to the family of Multiple Criteria Decision Making (MCDM)  and has, recently, received a wide popularity in decision making regarding supplier selection.  The objective of this study is to apply the methodology of AHP on selecting suppliers to supply materials for the  Geological Survey and Mining  Company (GSMC).  Criteria for rating the suppliers and pairwise comparisons were identified by the members of the Tenders Analysis Committee (TAC). In order to judge the internal validity of the AHP, it was applied manually on a sample of fourteen tenders that were analyzed  and executed between 2004-2007, then an interactive computerized  package was developed 

ملخص البحث

بسم الله الرحمن الرحيم

حاول الباحث في هذه الدراسة التذكير بشخصيتين نحويتين، كان يشار لهما بالبنان، إلا أنّ غبار الزمن قد غمرتهما، ولا يكاد يعرفان اليوم بين طلاب العلم، وهما ابن معط ، وابن الخباز.

ـ رأيت أنّ ابن معط في بعض المسائل، التي رده عليها ابن الخباز،  يوافق أبأ الحسن الأخفش، منها مسألة (ال) التعريف ،الداخلة على اسم الفاعل، وكذلك مسألة واو ا

The research aims to diagnose the level of reflection of uncertainty management strategies (Ignoring uncertainty, knowledge generation , interaction , coping) managing of Organizational change strategies (power coercive, rational empirical, Normative reductive) to the importance of the two subjects and the importance of the expected results has been selected sample size (65) managers from Zain , Asia Cell Telecommunication (32 Zain and 33 company Asia),which alignment for the such a study being heavily dependent on the certainty or uncertainty subject . The researchers are attain there is the effect of uncertainty management strategies in Organizational change management strategies on the overall level in the two companies but have tended t

   In this paper , two method which deal with finding the optimal value for adaptive smoothing constant, are compared .This constant is used in adaptive Single Exponential Smoothing (ASES).

The comparing is between a method uses time domain and another uses frequency domain when the data contain outlier value for autoregressive model of order one AR(1) , or Markov Model, when the time series are stationary and non stationary with deferent samples .    

ملخـــص البحــــث

   للنصارى شعائر يجب القيام بها عندهم , إذ لا يصح التخلي عنها, ويقولون فيها أنها فرائض مقدسة وضعها المسيح (u) , وهي أعمال جليلة تشير إلى بركات روحية حسب زعمهم .

والعقيدة هي أول ما يطلب من المؤمن وعليها ينبني الدين وهي أول الأمر وأساس العمل، وكل ما سواها من الأعمال مبني عليه وتابع لها لذلك فإن صلاح الأعمال رهين بحسن