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 .

يهدف هذا البحث الى تحليل وتأثير سياسات إدارة الموارد البشرية (كمتغير مستقل) الواردة في برنامج إصلاح القطاع العام على الخدمة المدنية (كمتغير تابع)، وتكمن أهمية البحث في تحقيق وتطبيق المشروعات المختلفة في مجاميع  الإصلاح الخاصة بالقطاعات العامة وبجهاز إدارة الموارد البشرية على وجه الخصوص ، وذلك من خلال تحليل اتجاهات الإدارة وسياساتها و تحديد كافة نقاط القوة والعمل على تحسين وزيادة معدلات كفاءتها والع

Abstract :

          Researchers have great interest in studying the black box models this thesis has been focused in the study one of the black box models , a ARMAX model which is one of the important models and can be accessed through a number of special cases which models (AR , MA , ARMA, ARX) , which combines method of the time series that depend on historical data and and regression method as explanatory variables addition to that past errors , ARMAX model importance has appeared in many areas of application that direct contact with our daily lives , it consists of constructing ARMAX model several traditional stages of the process , a iden

The objectives of research to identify the maximum consumption of oxygen index (VO2max) predictable by knowing the concentration of lactic acid after the maximum physical effort and determine the percentage contribution of the concentration of lactic acid in the maximum consumption of oxygen index (VO2max) and find the equations of predictive indicator under study suppose the researchers that there is a statistically significant correlation between reduction index Aqsa for the consumption of oxygen and the concentration of lactic acid after the maximum physical effort and physical effort maximum influence constant variable under study and the researchers used the descriptive style of one group were identified variables of the maximum consum

In order to evaluate the performance of introduced varieties of maize and test them under different levels of plant density, and to determine which of the introduced varieties give a high yield and at what plant density, a field experiment was carried out at Station A in the Department of Field Crops- College of Agricultural Engineering Sciences - University of Baghdad- Jadiriyah, for the fall season 2021, the RCBD design was used with four replications, in a split plot arrangement, the three plant densities (50.000, 70.000, and 90.000 Plant s ha^-1) were the main plates, while the varieties represented the secondary factor, which is six varieties of maize, class 2 = 5783 DKC, Class 3 = 6315 DKC, Class 4= 6590 DKC, whic

This play is written in 1932 by Lynn Riggs who is half Cherokee. The play is set in Claremore Mound, Oklahoma almost a century after the Trail of Tears. Riggs presents mixed- blood, young Cherokees to portray a post-colonial state of spiritual loss and disruption of traditional community ties. The new generation lives in darkness, and the title of the play tells about the dramatist's view that night comes to his Cherokee Nation. The Indian ghost is one of the play’s characters.  It is an Indian ghost of a warrior. It comes to remind Cherokees of their heritage and traditions. The ghost sees the new generation as nothing as ghosts because they are neither good for themselves nor for their nation. This paper is important as it discu

This experiment was conducted to study the effect of injecting hatching eggs into a flock of broiler aged mothers with different concentrations of the alcoholic extract of Moringa oleifera powder on productive performance of broilers during the period of rearing of 35 days. The study included two experiments for a period at 2/10/2021 to 28/11/2021, where eggs were injected into the Mustafa Poultry Hatchery/ Wasit Governorate- Aziziyah District. A 400 hatching eggs of 308 Ross  mothers of modern broilers used at age  of 48  week, eggs of average weight  66 ± 1 g/egg were collected in same day then stored for two days. A quarter of treatments were randomly distributed with 100 eggs for each treatment.

الخلاصة:
ان المحادثة كانت الشغل الشاغل لكثیر من العلماء المھتمین بدراستھم بھذا المجال من امثال ساكس
.( واخرون ( ١٩٧٤ ) وغرایس ( ١٩٧٥ ) و شكلوف و اخرون ( ١٩٧٧ ) و دانكن ( ١٩٧٢ ) و بیرتن ( ١٩٨٠
قدمت بیرتن ( ١٩٨٠ ) تحلیلا لمسرحیة النادل الابكم لغرض تقدیم طریقتھا. تتوخى الباحثة من
تقدیم ھذا البحث تحلیل تركیب المحادثة منتدى حول القصة الادبیة و القصة الروائیة باستعمال نموذج بیرتن
١٩٨٠ ). و یمیل البحث الى الاجابة عن ا

Banks was one of the institutions that are highly concerned with the issue of performance evaluation, in order to achieve optimal use of resources that enable them to achieve operational and strategic objectives both in light of the global competition fierce for the start of the research problem of banks to adopt in assessing the performance of the realization of just the traditional financial indicators which has become insufficient to keep pace with the constant evolution in the business environment, which requires work on the use of the necessary information needed to evaluate the performance of all the Bank's activities through

the use of the Balanced Scorecard method. The research aims to shed light on the dimensions of perf