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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
Thu Mar 30 2006
Journal Name
College Of Islamic Sciences
The Messenger’s approach to preaching (the Meccan stage in light of the Qur’an and Sunnah)
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First: People’s need for advocacy:

Calling for a legal necessity for all people, regardless of their races, colours, tongues, and culture, to explain the truth, spread fear, bring benefits, ward off evil, regulate a person’s relationship with his Lord, and his relationship with creatures, so that he knows his money and what he owes.

All of creation is in dire need of the call to God’s religion with insight due to their inability to reach out to goodness, righteousness, guidance, and success on their own. Man is limited in thinking in this universe, limited in his resolve, unable to know what will improve his affairs in the two worlds. His need for religion is one of the necessities of his life, and one of the comple

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Publication Date
Wed Sep 08 2021
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The effect of financial leverage on the market value of the shares of Iraqi commercial banks: An applied research in the Bank of Baghdad for the period (2010-2019)
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The aim of the research is to know the effect of financial leverage on the market value of the stock by applying it to a sample of private Iraqi commercial banks listed in the Iraqi Stock Exchange for the period (2010-2019) and to show the extent of that effect, based on the bank’s annual reports for the mentioned period through the use of financial leverage ratios represented b (Equity multiplier, cash balance ratio), its discussion, analysis, description, inferential description, and testing of research hypotheses,

A set of conclusions has been reached, the most important of which are: The research sample banks depend in their financial structures on borrowed funds in a greater proportion than their r

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Publication Date
Sat Dec 01 2018
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The Impact of the Application of Corporate Governance On the Financial Performance Evaluation in Banks: Applied Study- Sample of the Conventional and Islamic Banks in the Kingdom of Bahrain
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 The aim of this research is to identify the extent to which the Conventional and Islamic banks are committed to implement the requirements of the corporate governance in its financial reports. In addition to its commitment to transparency and clarity in dealing with the shareholders and stockholders to protect their interests and to determine the impact of the commitment of the corporate governance on assessing the financial performance of the conventional and Islamic banks that participate in Bahrain Stock Exchange.

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Publication Date
Sun Jul 27 2025
Journal Name
Revista Iberoamericana De Psicología Del Ejercicio Y El Deporte, Issn 1886-8576, Vol. 17, Nº. 5, 2022, Págs. 269-271
The effect of a suggested rehabilitation curriculum in the treatment of partial rupture of the gluteal muscles and strengthening the working muscles of the pelvic joint in football players
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Autorías: Imad Kadhim Khlaif, Israa Gameel Hussein, Talib Faissal Shnawa. Localización: Revista iberoamericana de psicología del ejercicio y el deporte. Nº. 5, 2022. Artículo de Revista en Dialnet.

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Publication Date
Fri Sep 15 2023
Journal Name
Al-academy
The social imagination and its representations in the paintings of students of the Department of Art Education
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The aim of this research is to identify how to employ the social imagination and its representations in the paintings of the students of the Department of Art Education. Students of the Department of Art Education in the light of this tool, and the researcher reached a number of results, the most important of which are:
1. The indicator of the social imagination in the excitement of the artist and the recipient, because the representations are embodied in forms within the painting and close to reality.
2. An artistic sample of the representational imagination and the creative imagination was found to be more than the imaginary imagination.
3. Individual symptoms related to the term.
4. The representations of the socia

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Publication Date
Thu Jan 01 2015
Journal Name
Al–bahith Al–a'alami
The role of television talk shows in shaping the political awareness of the students of Diyala University
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The  study aimed to exposure young university students and students talk programs offered by satellite TV exposure, as it represents these programs great importance Information Public Knowledge in general And the  youth in  private  Including Posed From Opinions And ideas About Different  Issues Raised Which Charges Opinion, And that Through Application Study Survey To Sample From Students of Diyala University, the  Researcher display Public Accrediting Theory To Information Which Provided Means Media To achieve Objectives And satisfy Needs   And hypotheses  . The Problem Search was Determined  Through Study of students of Diyala  University exposure  Programs Talk And measured&

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Publication Date
Sun Jan 01 2017
Journal Name
Transportation Research Procedia
The importance of intelligent transport systems in the preservation of the environment and reduction of harmful gases
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Publication Date
Mon Feb 14 2022
Journal Name
Journal Of Educational And Psychological Researches
The Awareness Degree of Arabic Language Teachers of the Preparatory Stage for the Requirements of Sustainable Development
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The objective of the current research is to identify the degree of awareness of the teachers of Arabic language with the requirements of sustainable development. The research sample consisted of (100) male and female teachers of the Arabic language. A 3-likert scale of (71) items grouped into practical and cognitive aspects, five trends for each aspect was designed by the researcher to explore the required data. The results showed that the level of awareness of teachers of the Arabic language was moderate of both the cognitive and practical aspects of sustainable education with means (1.69) and (1.48) respectively. The researcher presented a set of recommendations and suggestions.

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Publication Date
Sat Dec 02 2023
Journal Name
Kufa Journal Of Arts
The Figurative Metaphor in the Discourse of Enlightenment of Hashem Salih in the Light of Cognitive Linguistics
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Publication Date
Wed Mar 30 2022
Journal Name
Journal Of Educational And Psychological Researches
The extent of including logical intelligence in the Book of chemistry for the fifth Grade of science
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The aim of the current research to determine the extent of logical intelligence in the book of chemistry for the fifth grade of science and to achieve the goal the researcher has prepared a special criterion in the areas of logical intelligence main and sub-to be included in the book after reviewing the previous literature and studies in this regard may be the final form after presentation to experts and arbitrators in the field of Educational and psychological sciences, curricula and teaching methods from (3) main areas and (21) sub-fields, then the researcher analyzed the book Bibih and applied branches and adopted the idea of ​​both explicit and implicit as a unit of registration and repet

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