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 .

Because of its importance in the world, Middle East area is one of the competition areas between the major and great powers. Among those powers are Russia and United states of America. The competition between these two powers to control Syria is greatly clear since 2011. It is also one of the most important subject in the international politics. This importance comes from the importance of Russia and the United States of America besides importance of the Middle East. At the end of the cold war, United States of America maintained its role in the international system and became the only pole that dominated the international affairs while Russia tried to overcome the challenges inherited from the former Soviet Union, and it succeeded in th

        The linguistic researcher reads a systematic crisis, idiomatic problems within the linguistic term coming to the Arab culture. Where most of them return back to problems of receiving these sciences which are represented by phenomena like the multiplicity linguistic term, disturbance translated idiomatic concept and its duality.

Aims of the research :

1-Initializing new textbooks to form linguistic project and Arabic linguistic theory.

2-Determination adjusted knowledge, concepts of Arabian heritage linguistics subject

3-Observation  the causes of disturbance crisis of linguistic term and its relation to

Background Obstructing dentinal tubules is a valuable approach for managing dentin hypersensitivity. Although various agents promote dentin remineralization, direct comparisons between theobromine, bioactive glass (BAG), and nano-hydroxyapatite (Nano-HAP) under simulated oral conditions remain limited. To fill this gap, this in vitro study aimed to evaluate and compare the effectiveness of these three treatments on exposed cervical dentin. The assessment focused on their chemical, morphological, and mechanical effects on dentin. Materials and methods Forty-eight human dentin slabs were obtained from the cervical portions of twelve sound premolar teeth. Baseline Raman spectroscopy and VMH tests were done to exclude outliers. All specimens we

This is a research that deals with one of the topics of Arabic grammar, namely, the plural noun, and it is not hidden from the students the importance of grammatical topics in preserving the tongue from melody, and what it has of fundamental importance in knowing the graphic miracles of the Qur’an, and I called this research:

(plural noun in Arabic a grammatical study)

Permeability determination in Carbonate reservoir is a complex problem, due to their capability to be tight and heterogeneous, also core samples are usually only available for few wells therefore predicting permeability with low cost and reliable accuracy is an important issue, for this reason permeability predictive models become very desirable.

   This paper will try to develop the permeability predictive model for one of  Iraqi carbonate reservoir from core and well log data using the principle of Hydraulic Flow Units (HFUs). HFU is a function of Flow Zone Indicator (FZI) which is a good parameter to determine (HFUs).

   Histogram analysis, probability analysis and Log-Log plot of Reservoir Qua

This study aims to show the markers of the Arabic noun(genitive, nun nation articles,
vocative, definite article and predication). These markers distinguish the noun from other
parts of sentence. It alsoaims at showing why these markers are peculiar to nouns.

يكشف هذا المقال عن مشكلة الصفات ذات المكون الكمي والتي تعتبر واحدة من اقوى الموارد المكونة للكلمات التعبيرية والتقويمية و يتم تحليل التركيبات الدلالية ذات الاوجه المتعددة التي تنشا من عملية توظيف الصفات المشتقة بمساعدة اللواحق والتي تدل على الاتجاه العام للغات السلافية وذلك لتطوير الدلالات العاطفية والتقييمية في الكلمات ذات معنى الميزة او الخاصية يتم تقديم تعريف انماط تكوين المعاني الضمنية في دلالات

Resumen The article deals with the analysis of different ways of creating Arabic scientific terminology. Arabic scientific style includes the terminology that represents different scientific areas functioning in all Arabic countries. These ways can be classified as: giving the meaning of terms; construction of new terms according to the rules of word formation; reduction and ellipsis of terms; direct term borrowing, all the above-mentioned being subject to further analysis. Main objectives of academic style, the specific features and certain lexical and grammatical peculiarities of the Arabic scientific terminology are under consideration as well. Discussed in the paper are linguistic and extra-linguistic factors influencing the ways of sci

The paper is concerned with a linguistic analysis of  the blurbs, used in advertising English and Arabic novels.  A blurb is an advertising persuasive text, written on the back cover of a book. Blurbs of selected novels are chosen as  representative examples. The selected blurbs belong to two languages, Arabic and English. The paper aims at studying the linguistic features that are characteristic of blurbs as advertising texts and making a sort of comparison between English blurbs and Arabic ones. A linguistic analysis on four levels is presented. Blurbs are tackled from the point of view of four linguistic disciplines that are phonology, syntax, semantics and discourse analysis. A reference is made to the linguistic featu