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 .

DBN Rashid, International Journal of English Linguistics, 2019 - Cited by 2

Andalusian women enjoyed much historical news in the fluorescence of Andalusia, describing it as beautiful and good cohabitation, as the men were involved in conquests, including those who were wives of the caliphs, including scientists, singers, and adept writers Hassan and tongue, in addition to the acquisition of masters in slave markets in Cordoba, Seville and many cities, In addition, Andalusian women enjoy freedom in their relationship with men and have been reflected in the historical fluorescence of Andalusia, such as the book of the history of Ibn Abdul Malik bin Habib al-Alberi (d. And the collar of the dove repented in intimacy and thousands of Ibn Hazm al-Qurtubi (d. 456 AH / 1065 CE), the book of Hilla al-Sayra of Ibn al-Wel

   Iraqi legislator taxation  married women in charge of the income tax treatment of the man in charge of tax and the application of the principle of equality of individuals to bear public burdens. The factor legislator women in charge of special treatment in some cases, taking into account the circumstances family allow  tax in the case of whether she was married to a man is unable to completely work and does not have a resource, as well as giving the legislator allow for her children. it observed that the amount of allowing still little is notcommensurate with the high cost of living in addition to limiting the tax allowances granted within the limits of the taxpayer and his immediate family did not take the legisla

This research deals with the relationship between television advertising and buying random cosmetics, where we find that TV ads influence on the purchasing behavior of women, has conducted research in the field on a sample of women in the University of Baghdad, was a random sample taken from 150 different women in the age and social levels educational and cultural students and employees and teachers in order to sample representative be for the research community, and designed a questionnaire for this purpose form as a tool to collect data and information search and analyzed they answered the sample surveyed using a statistical program (spss) to extract percentages And correlation coefficients and testing square Kay , The study found Of w

We studied, in this paper, the semiotics of the visual image of women in the discourse of empowerment, through three models of advertising images expressing the particularities of the Saudi Arabian environment.

We aim to know how the mark operates and how it is interpreted, as a semantic process in which the meaning ranges from description to interpretation, and we studied two hypotheses:

-The advertising image is a structure in which the mark corresponds to the reality and the discourse to the context.

-The significance is not found in the visual sign or in the textual sign of the advertising image, but in the creative event that opens up to the social, cultural, and psychological context, and creates a field of dia

The objective of this research is to identify the effect of Using Fryer strategy on achievement and systemic thinking in the subject of chemistry of second class intermediate school students. The sample of research consisted of 59 students in one intermediate school in Baghdad/Iraq, split into two groups; experimental and control. The scientific material of the study is related to Chapters II and III of the Science Book for the second Intermediate School for the Year (2019-2020). The scientific test is composed of 25 test items whilst the second instrument for research related to systematic thinking test consisted of 12 items. The results of the research showed that the use of Fryer's chemistry-teaching strategy has increased achieve

The objective of this research is to identify the effect of Using Fryer strategy on achievement and systemic thinking in the subject of chemistry of second class intermediate school students. The sample of research consisted of 59 students in one intermediate school in Baghdad/Iraq, split into two groups; experimental and control. The scientific material of the study is related to Chapters II and III of the Science Book for the second Intermediate School for the Year (2019-2020). The scientific test is composed of 25 test items whilst the second instrument for research related to systematic thinking test consisted of 12 items. The results of the research showed that the use of Fryer's chemistry-teaching strategy has increased achievement an

Objective : The present study is aimed to evaluate the effectiveness of short wave diathermy and
ultrasound therapy for the management of patients with knee osteoarthritis
Methodology : all patients who referred to the Medical Rehabilitation Unit in Baghdad Teaching
Hospital and Sadr A!-Qanat Center. The period of the study was from October 2004 to April 2005, total
number of patients was 24 (9 male and 15 female). Age range of patients was 42-70 years. Complete
clinical and radiological examinations were achieved on all patients and referred to the Medical
Rehabilitation Unit for physiotherapy. Short wave diathermy and ultrasound therapy were applied on
all patients.
Results : Demographic distribution revealed th