Every finite dimensional normed algebra is isomorphic to the finite direct product of  or , it is also proved these algebras are ultrasemiprime algebras. In this paper, the ultrasemiprime proof of the finite direct product of  and  is generalized to the finite direct product of any ultrasemiprime algebras.

المستخلص يهدف هذا البحث الى تجاوز مشكلة البعدية من خلال طرائق الانحدار اللامعلمي والتي تعمل على تقليل جذر متوسط الخطأ التربيعي (RMSE) , أذ تم  استعمال طريقة انحدار الاسقاطات المتلاحقة  (PPR)    ,والتي تعتبر احدى طرائق اختزال الابعاد التي تعمل على تجاوز مشكلة البعدية (curse of dimensionality) , وان طريقة (PPR) من التقنيات الاحصائية التي تهتم بأيجاد الاسقاطات الاكثر أهمية في البيانات المتعددة الابعاد , ومع ايجاد كل اسقاط

     Let n be a positive integer and  denotes the number of overpartition triples. In this note, we prove two identities modulo 16 and 32 for . We provide a new method to reprove a result of Lin Wang for completely determining and  modulo 16. Also, we find and prove an infinite family of congruences modulo 32 for . The new method relies on expanding the fourth power of the overpartition infinite product together with the help of Gauss' identity.

This research aims to evaluate the teaching methods used by intermediate Arabic language teachers. To achieve the goal, the researcher followed the descriptive-analytical approach. The research sample was limited to Arabic language teachers at intermediate school for the academic year (2017-2018) the researcher chose a random sample included (155) teachers which form a (40%) Of the original community at Baghdad/ Rusafa1th. The researcher has developed standards of teaching methods which are (7) standards with (39) paragraphs included three alternatives. The results showed the need to pay attention to the use of various modern teaching methods. Moreover, the researcher suggested making an evaluation of the teaching methods used by Arabic

Since her early beginning in 1974 in her novel "Les armoires vides", Annie Ernaux writing about life in all its various aspects remained her main goal. This novel gave the earliest signals of what would happen later on in her literary career. Indeed, her works showed abilities of echoing reality, her sufferance and experiences via the use of simple and clear language. Add to this, her writings are to be viewed as an expression of deep felt journey, and a continuous search due to the consequent changes coming out of her identity.

    We try here to give an answer to the question about writing as to whether being, to Ernaux herself, a need for the search about her social and feminist identity, or a pure literary work

The most important topics that constitute the aesthetic and substantive aspect of the theatrical performance represented by the spatial environment of the presentation and the proposed virtual place that contains the technical and artistic elements of the presentation and highlights the strength of influence on it. In light of the above, the researchers divided the topic into four chapters.

The first chapter contained (the methodological framework), which included the research problem with regard to the directing treatments between the directors in establishing or creating theatrical venue, the importance of the research and the aim of the research, and the limits of the research to conclude the chapter by defining the terms.

In this study, concentrations of Radon were measured for fifty two samples of Fly Ash taken from five thermal power plants in the middle and south of Iraq [Al-Rashed, Al-Dura, Al-Musaeb, Al-Naserya, Al-Basrah (AlHaretha)].
The radon concentrations in samples measured by registrat alpha-emitting radon (222Rn) by using (CR-39) track detector, The concentrations values were calculated by a comparison with standard samples The results shows that the radon concentrations is between (91.931-30.645 Bq/m3)

Background: Atrial fibrillation is the most frequent cardiac arrhythmia encountered in general medicine and cardiology practice. Synchronized direct current shock is a known safe and effective procedure to revert long standing persistent atrial fibrillation into sinus rhythm.

Patients and Methods: Patients with long-standing atrial fibrillation who were seen at the author’s private clinic and Al-Hassani Heart Center in Sulaimanya from April 2018 to December 2020 were chosen for rhythm control subjected to synchronized direct current cardioversion under heavy sedation applying a modified anterolateral paddles position with 200J and 300J successively according to the reversion dose required.