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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
Sat Oct 01 2022
Journal Name
Al–bahith Al–a'alami
PHARAOH'S CHARACTER BETWEEN THE QUR'ANIC TEXT AND THE ARABIC NOVEL: (Naguib Mahfouz's Pharaonic Novels as a Model)
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The Character is one of the elements of Storytelling, as it is the center of the plot, making it the basis on which the talk is about. The talk is the portrayal of the character while they’re acting; the novelist presents the character by interacting with the events, and the extent of the negative and positive appearing impact on the character. It should be noted that everyone has two personalities or more, each one appearing in a different position or situation. For instance, a man can be a father, a lover, an employee, a son or anyone else .. in another position, he might be a master, and in another a looser begging for the mercy of his humiliator, and sometimes he can show weakness to the one he loves, or show strength to his enemie

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Publication Date
Thu Dec 15 2022
Journal Name
Al-academy
The dramatic act and its transformations in the Iraqi theatrical show "Black Astronomy play as a sample"
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The subject of the act and its transformations in the presentation is of great importance at the level of study, analysis and interpretation, and through that the researcher adopted the following title (The Dramatic Act and Its Transformations in the Iraqi Theatrical Show). The play of Black Astronomy was chosen as a sample for analysis, and the aim of the research came in order to achieve a special knowledge of the extent of the transformation that occurred between the dramatic structure of the act and theatrical embodiment and its multiple elements of operation in the Iraqi theatrical shows. It was limited to the show of the Iraqi theater in the year (2020) and included the theoretical framework that accommodated three sections. As for

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Publication Date
Wed Sep 01 2021
Journal Name
المجلة السياسية والدولية
Foreign Policy and Asymmetric Threats The United States after 2001 as a model
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يشهد المسرح الدولي قضايا مستجدة ومستحدثة مثل تعدد الفاعلين من الدول ومن غير الدول وتزايد مساحات نفوذهم وتأثيرهم ،ومن جانب اخر أثرت جائحة كورونا على البيئة والمناخ بشكل ملموس على جوانب عدة. فضلا عن ذلك تأثرت جميع المجتمعات البشرية بالإرهاب والهجمات الالكترونية وغيرها ومن بينها دول والمجتمع الدولي بإفراده مؤسسات وكيان اقتصادي وسياسي وقانوني وأمني وامتداد اثاره واسبابه الكثيرة والمتداخلة وما يثيره من خلق حا

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Publication Date
Tue Aug 15 2023
Journal Name
Journal Of Economics And Administrative Sciences
Industries Based on the Petrochemical Industry in Iraq-Plastics Industry as a Model
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This study came to discuss the subject of industries dependent on petrochemical industries in Iraq (plastic as a model) during the period 2005–2020, and the study concluded that the plastic industries contribute to areas of advancement and progress and opportunities to deal efficiently with the challenges posed by the new variables, the most important of which is the information revolution. communications and trade liberalization, and this is what contributes to the competitiveness of these industries. And because the petrochemical industry in Iraq has an active role in establishing plastic industrial clusters and clusters of micro, small, and medium industries by providing the necessary feedstock for these industries in various fields

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Publication Date
Mon Feb 19 2018
Journal Name
Al-academy
Directing Techniques to Process the Radio Drama Script ( Khata'a Play as a Sample)
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     The radio drama is considered to be one of the arts that is discovered after a long period of theater's discovery. Initially , it was the broad framework of the theater's work when radio was broadcasting the shows on the huge theaters. This beginning encouraged many of the radio specialists to correlate plays with radio and make a novice and distinctive type of art. Thus, radio drama made its first step including the following   ( plays, short and long series drama as well as other types of radio arts). Because of the above mentioned , the researcher is stimulating  to study directing techniques to process the radio drama script ( Khata'a play as a sample).

The first chapter deals with the

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Publication Date
Sun Jan 01 2006
Journal Name
Journal Of The College Of Languages (jcl)
The Play as Intellectual Ping-Pong: Art and Politics in Tom Stoppard's Travesties
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Throughout history, artists have played many important roles in society.

Generally speaking, the role of the artist is defined by the society he is part of.

Indeed, there are as many ideas as to the role of the artist and, ultimately the purpose

of art in society, as there are types of art. This is, as a matter of fact, neither a new

question- the dialogue has been present within art for centuries- nor probably one

that will ever fully be answered.

Tom Stoppard came to prominence in the mid-sixties, when art and politics

were closely linked, and theatre sought to change the world. Stoppard would have

none of that: his work has no overt message, no political program. In fact,

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Publication Date
Tue Sep 14 2021
Journal Name
Research Journal Of Pharmacy And Technology
The Isolation of specifically lytic phages along with their extracted endolysins as antibacterial agents to MDR Enterococcus faecalis
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Background: Multidrug-resistant (MDR) enterococci have become a major problem in recent times and have been reported increasingly around the world. Lytic phages infect bacteria leading to rapid host death with limited risk of phage transduction, underlining the increasing interest in potential phage therapy in the future. Objective (s): The aim of this study is to use phage therapy as alternative approach for treatment of Enterococcus faecalis infections that recorded as MDR in Iraq to tackle this problem. Materials and Methods: Thirty E. faecalis isolates were collected from patients with different infectious diseases such as urinary tract infection (UTI), diabetic foot, septicemia, and wound infections. The isolation of specific l

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Publication Date
Wed Dec 25 2019
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
Peaceful settlement as a means of preventing tax: An applied research in the General Commission for Taxation evasion
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The reconciliation of tax reconciliation is one of the legal methods used by the financial authority in Iraq, which is done with the taxpayer

The research dealt with the weakness of tax revenues for many reasons, including tax evasion, which led to the search for ways to reduce evasion to increase the tax revenue, and settlement reconciliation one of these means .

The research proceeded from the premise that the use of a more broadly settled settlement would govern the tax evasion of taxpayers.

The researchers used a series of studies and previous research, books and other sources related to the subject of research, and this was done through the theoretical framework, and the practical aspect that included the fin

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Publication Date
Tue Jan 27 2026
Journal Name
Al–bahith Al–a'alami
The Role of Public Relations in Observing Media Publishing During International Conferences: (Arab Summit 2012 as a Model)
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This study aims to identify the issue of observing media publishing and its importance for public relations in the management of special events; and its role in building the positive image of the target audience through communication messages that illustrate the political, economic and diplomatic importance of the Arab Summit. As such Summit is one of the conferences that Iraq sought to secure the requirements of its convening to re-activate its political and diplomatic role in the Arab Ocean, especially after the circumstances and crises that Iraq went through.

The convening of the Arab Summit under the auspices of Iraq was a qualitative transition, during which Iraq sought to achieve some gains b

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Publication Date
Thu May 14 2020
Journal Name
Journal Of Planner And Development
“The role of parametric approach in design highest climatic performance buildings: local housing design patterns as a sample”
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In light of increasing demand for energy consumption due to life complexity and its requirements, which reflected on architecture in type and size, Environmental challenges have emerged in the need to reduce emissions and power consumption within the construction sector. Which urged designers to improve the environmental performance of buildings by adopting new design approaches, Invest digital technology to facilitate design decision-making, in short time, effort and cost. Which doesn’t stop at the limits of acceptable efficiency, but extends to the level of (the highest performance), which doesn’t provide by traditional approaches that adopted by researchers and local institutions in their studies and architectural practices, limit

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