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The Representaion of Algebraic Integers as Sum of Units over the Real Quadratic Fields: REPRESENTAION OF ALGEBRAIC INTEGERS AS SUM OF UNITS OVER THE REAL QUADRATIC FIELDS
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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 .

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Publication Date
Sun Oct 01 2017
Journal Name
Journal Of Educational And Psychological Researches
The social responsibility to the visual media and its role in spreading the culture of the environment protection / field research to a sample of students of the University of Baghdad
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        This paper deals with social responsibility visible to the media and the role they play in spreading the culture of environmental protection, and make research on a sample of the University of Baghdad consisting students from 150 students, male and female were distributed questionnaire form on the sample to obtain the required information has been questionnaire included axes distributed questions achieve the objectives of the search, and after the form data were analyzed using statistical program spss results show that the visual media and its role in spreading the culture of environmental protection form averages arithmetic high, indicating a rise in the influence of th

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Publication Date
Mon Jul 28 2025
Journal Name
Journal Of Studies And Researches Of Sport Education
The effectiveness of the use of yoga exercises and its impact on the reactions of the two Alvesologih nervous and respiratory systems in the correction of antenna pistol shooting accuracy
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Publication Date
Wed Sep 28 2022
Journal Name
Journal Of The College Of Education For Women
The Level of Aligning Scientific Research in Omani Universities with the Era of the Fourth Industrial Revolution in the Light of Oman’s 2040 vision and the Ways of its Development
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The current research aims to reveal the reality of coping the scientific research in Omani universities in the Sultanate of Oman with the requirements of the Fourth Industrial Revolution in the light of Oman’s 2040 vision. It also aims derive some suggestions to develop the scientific research in these institutions. The study has adopted a qualitative approach in which interviews were conducted. The sample consisted of (16) leaders of governmental and private higher education institutions, as well as, some experts in the field of Fourth Industrial Revolution. The theoretical significance of the study is represented by its response to Oman’s vison in 2040. It is further in line with the previous international reports and educational s

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Publication Date
Tue Feb 14 2023
Journal Name
Journal Of Educational And Psychological Researches
The Evaluation of Educational Quality Management and the Way to Improve It in the College of Education for Women at the University of Baghdad from the Teachers’ Point of View
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The research aims to examine the evaluation of educational quality management and the ways to improve it in the College of Education for Women at the University of Baghdad from the point of view of the academic staff. The research community consisted of (288) participants comprising all members of the academic staff in the College of Education for Women at the University of Baghdad for the academic year (2019-2020). As for the questionnaire, it was distributed to the academic staff of the scientific departments according to their affiliation for the purpose of identifying the availability of the requirements of the quality of the teaching service provided to them by the educational institution. The researcher adopted a questionnaire deve

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Publication Date
Fri Apr 01 2016
Journal Name
Journal Of Economics And Administrative Sciences
The Success Of The Project Management In light of the Learning Organization Characteristics field reserche for the opinion of simple of worker at the State Commission For Road and Bridge
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Abstract                                                                                                                       &nbsp

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Publication Date
Sun Mar 06 2022
Journal Name
Al–bahith Al–a'alami
The Use of Social Networking sites in the Marketing of Values Analytical : Study of the Official Pages of the Ministry of Culture, Tourism and Antiquities and the Ministry of Labor and Social Affairs on Facebook
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The social networking sites have brought about fundamental changes and a qualitative shift in the marketing industry and its strategies. The Iraqi ministries have used this site i.e. Facebook to spread and disseminate values in order to consolidate it in Iraqi society which has witnessed many changes in all aspects of life.

   The researcher studies the pages of both ministries to know the values contained in the publications of the pages of these two ministries, the quality of grooming as well as the forms in which these values are marketed.

     The researcher uses a survey method and content analysis for the publications of these two pages during the study period starting from January 1, 2

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Publication Date
Sat Dec 01 2012
Journal Name
Journal Of Economics And Administrative Sciences
Developing strategic leadership practices in the light of transparency and organizational citizenship behavior - A field study of a sample of the staff of the Office of the Inspector General at the Iraqi Ministry of Culture
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Diversity the terms and practice the organizational filed with different concepts and environment, which Iraqi environment part from them. Some organizational in Iraqi environment leave its basic oriented to agreement with the leader desire, their fore this research focus tow basic variable (organizational citizenship behavior & transparence), we supposition which is dependent to explanation the response variable (strategic leadership). The results justification in part and not justification in another part. For example the organizational citizenship behavior effect on some parte of the strategic leadership. The transparence have faraway to fly from the relation with organizational citizenship behavior and strategic leadershi

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Publication Date
Tue Aug 15 2023
Journal Name
Al-academy
The architectural design of the holy shrines
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As an architectural philosophical concept, Islamic architecture cannot be considered arches, doors, domes and lighthouses, since Islamic architecture is based on a structural system of religious, mental, philosophical and logical origins and beliefs shared by the arts, technology and the requirements of the surrounding environment. Rather, the architectural designer's distance from it becomes as if it is for people not from this world, and Islamic architecture is not abbreviated on the heritage side as much as it is a renewed "modern" state, dealing with the concepts of Islam that are valid for every time and place. This can be seen through the mechanisms that produced heritage architecture and what was built on it, which is not a simula

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Publication Date
Thu Jun 29 2017
Journal Name
College Of Islamic Sciences
The verbal opinions of the Najjar band
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This research is a study in which the researcher follows the al-Najjariya sect, which is attributed to Abi Abdullah al-Hussain bin Muhammad bin Abdullah al-Najjar, who died around (220 AH) and aims to:

1- Finding out the time of the emergence of this sect, and removing the confusion as to whether it was from the origins of the sects, or just an independent sect, or affiliated with one of the famous sects.

2- Standing on the most prominent theological opinions adopted by this sect, and in which of them did the Mu'tazila sect agree, and in which of them did the Sunnis and the community agree.

3- Statement of the most prominent sects that branched out from this sect.

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Publication Date
Wed Oct 05 2016
Journal Name
Al-academy
The concept of rhythm in the play
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The training of great importance in the play, in building optic and intellectual broadcast codes tags, and then comes after the recipient at the reception of such codes and decoded tags, and is the rhythm, the color of the most important elements of configuration, consistent with other elements, Kaltmathl, and focus, and harmony, and dissonance

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