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 .

One of the scientific education aims, preparing a student able to keep up with the scientific developments and innovations around him and make him contribute, adapt, investment and continue development. The concepts of nanotechnology from scientific innovation open up an important area of thinking and intervention in the field of chemistry applications in daily life, the technological changes lead to social, political and economic changes which result that the students to have the knowledge, understanding, awareness, appreciation and sense in applications of modern technology for their use optimally, in order to cope with these scientific and technological changes. The research aims at finding out the correlation between the acquisi

This research deals with number of novels for Marguerit Doras , specially A Bridge Towards Basfic and The Lover . we specialize the first chapter for discussing a very important issue , which is the Maraguerit Doras novelist world in another word the most important themes . that we discuss and through that we tried to clerify the privacy the characters of Marguerit Doras in comparative with her own generation and in the second chapter we discussed the most important characteristics of the romantic hero spedially the characteristics of women in her novels.

The paper aims to reveal the effectiveness of digital journalism in developing political awareness among Iraqi feminist activists. This paper is descriptive, and it adopted the analytical descriptive survey method. A snowball sample composed of (102) respondents of Iraqi feminist activists was adopted and questionnaire was used to collect data. The research has reached the following conclusions: The rate of Iraqi Feminist Activists dependence on digital Journalism have increased; to develop their political awareness, and their preference - in this regard - (the pages of journalistic institutions to social media) in a way that exceeds other types of digital journalism. (Variety of languages) has topped the priorities of Iraqi feminist act

The working of the some designer was recognize by the Production and introduction of the design which have special stemp and style determind by the experience and the Knowledge ability for the Designer which change the ordinaries shape to the develops shaps bening ideas and new meanings un known to the viewen make the design at high level of creative and the designer acquest experiennce and new skill in his way for the designs and the art march-out which clearly demonstrate on all the graphical work so the high research conserned on the knowledge and detect about the methods constructing of the ability and expernence for the graphic designer become it is decisive worker in effective or net effective the designers work and any consist whi

Colonialism radically transformed the cultures of colonized peoples, often rupturing Indigenous traditions and folklore. Whether creating colonial discourse, promoting orientalist literature, advocating western educational institutions, or through biased media representations, imperial powers systematically oppressed Indigenous and Native peoples. Subjugated communities, however, created, and still form postcolonial discourse from their knowledge systems. This discourse insists on Indigenous and Native culture as central to Indigenous and Native peoples identity. This study examines the postcolonial literature of three groups: Kānaka Maoli, African Americans, and Iraqis. The scope of this dissertation scrutinizes how folklore is employed

Background: Anti-vascular endothelial growth factors commonly used intravitreally for treatment of variable retinal disease worldwide, which help to regulate the upregulation of vascular endothelial growth factors due to ischemia or/and other retinal insult.

Objective: To review all cases of intravitreal bevacizumab given in the retinal unit of the Eye Specialty Private Hospital in Iraq from December 2015 to June 2016, pointing out the common indications.

Methods: A retrospective study including all cases of intravitreal injections of bevacizumab recorded at the Eye Specialty Private Hospital from December 2015 to June 2016 were retrieved. Age, sex, laterality, diagnosis

This research will deal in a simple way with the concept of urban expansion and taking the decision to sign the spatial signature of residential investment projects in order to reach through them in a real way to the extent of the proportionality of the decision taken, in light of the fulfillment of the conditions that must be met in the matter of making the decision of the spatial signature of the residential investment project and the extent of commitment to them, in which the conditions are: (Ease of access to services and transportation, adequacy of services, commitment to urban land uses) when establishing the investment project represented by the Al-Ayad residential project in the Hittin neighborhood of Al