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 .

Records of two regionalized variables were processed for each of porosity and permeability of reservoir rocks in Zubair Formation (Zb-109) south Iraq as an indication of the most important reservoir property which is the homogeneity,considering their important results in criterion most needed for primary and enhanced oil reservoirs.The results of dispersion treatment,the statistical incorporeal indications,boxes plots,rhombus style and tangents angles of intersected circles indicated by confidence interval of porosity and permeability data, have shown that the reservoir rocks of Zubair units (LS),(1L) and (DJ) have reservoir properties of high quality,in contrast to that of Zubair units (MS) and (AB)which have reservoir properties of less q

Communicative-based textbooks are developed and disseminated throughout the country.
However, it is difficult for teachers who themselves have learnt English through the traditional
approaches to suddenly be familiar with CLT (Communicative Language Teaching) principles
and teach communicatively. Therefore, many teachers remain somewhat confused about what
exactly CLT is and others familiar with CLT but unable to achieve communicative classroom
teaching. Consequently, those teachers need to be introduced to the CLT principles and they need
training in how to put CLT principles into practice. Accordingly, this study aims to find out the
effect of combining video lectures and Kolb experiential learning on EFL student-t

The research aims to improve the performance of the Directorate of Maysan water by reconciling the objectives of the employees of the directorate with the objectives of the Directorate itself, as well as to identify the strengths and weaknesses in the performance of the Directorate (Leadership - Individuals - Knowledge - Operations - Financial) and presented to experts and arbitrators of specialized, and the researchers have relied on the case study methodology as a descriptive approach is comprehensive analysis, and draws on more than one approach, method and scientific design, has been interviewed a number of experts in the Directorate Maysan's water Identify the weaknesses and strengths of the Directorate, the research has rea

Topic management is the awareness of how speakers deal with initiating, developing, changing, and ending a topic and how they fix the relationship when a misunderstanding occurs. It is such an important unit of conversation as it includes the transition from one strategy to the other to be accomplished in a systematic and orderly manner. These strategies are impaired in dementia patients thus lead to communication breakdown. This study aims at detecting the dementia patients' topic management strategies in selected speeches and answering the questions of which of these strategies are fully or partially detected in these speeches. The researchers use a qualitative method to examine the speeches of those patients and they adopt an eclectic

Active compounds were extracted from Anethum gravoelens to produce safety vegetable treat for diabetic, the results showed that alcoholic extract of Anethum gravoelens contain Alkaloid, glycosides, phenols, resins, saponins, coumarins, flavonoide, terpenes, steroids and volatile oils. after that it was studied the effect of alcoholic extract at dose 50, 100 mg/kg of body weight in reduced glucose level in serum of diabetic rats induced by alloxan, after the end of experiment for period 30 days the rats fasting 12 hours to measure the level of glucose in serum, the result showed asignificant decrease in serum glucose level of rats treated with extract in comparison with positive group (alloxan), So biochemical tests showed significant dec

In his opus, Ted Hughes has annexed new and fresh territories of signification to the very notion of the literary animal. Building on the earlier modernist example of the Lawrencian legacy that dwells upon the question of animalism, Hughes seems to have stepped further into the terrain of the sheer struggle when, in his hands, the grotesquerie of survival and violence energizes the topos of the literary animal in his postmodern bestiary. In Hughes’s elemental poetic process this grotesquerie and violence stages the literary animal as a vital poetic device or motif that is finally restored to the primitive power of poetry. In his “Thrushes”, he thus defamiliarizes these tiny creatures’ acts of being to bring upfront into focus thi

The study aimed to identify the level of awareness of mental health among the students of the Universities of Palestine Technical and Jerusalem open in the city of Tulkarem from the perspective of the students and the population of the study ( 8091 ) students at the two universities , and selected intentional sample size was ( 445 ) students , and used the tool questionnaire to measure responses of subjects , and the results showed that there are differences depending on the variable sex and was in favor of females , and depending on the variable University , and was in favor of the Al-Quds Open / variable Study level for the benefit of students of second year , did not show statistical differences depending on the variables of c

This study is concerned with the comparison of the results of some tests of passing and dribbling of the basketball of tow different years between teams of chosen young players in Baghdad. Calculative methods were used namely (Arithmetic mean, Value digression and T.test for incompatible specimens). After careful calculative treatments, it has been that there were abstract or no abstract differences in the find results of chestpass, highdribble and cross-over dribble. The clubs were: (Al-Khark, Air defence, Police and Al-Adamiyah) each one separate from the other for the year (2000-2001). After all that many findings were reached such as the lack of objective valuation (periodical tests) between one sport season and the other. In the light

The research talked about one of the important social subject that care public so cities which is .
This subject deals with three subdivisions papers :-
The first one deals with the reasons of unemployment mentioned the definition of it in addition to make a comparison between it and inertia . then talked specially about unemployment that had got in our wounded country become of wars in it .
It had a branch talked about in Islamic society .
The second one deals with the negative results of unemployment specially economic , moral and social with their roles in spreading negative phenomenon in our society as terrorist , stolen … etc …
The third one deals with the ways of reducing unemployment and trying to limit it , tha