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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
Tue Jan 02 2024
Journal Name
Eximia Journal
The role of strategic Renewal in organizational immunity - analytical research in the Iraqi Ministry of Education
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The current study aims to demonstrate the role of strategic renewal in enhancing organizational immunity through strategic renewal mechanisms represented by (Reanimating, Rejuvenation, Venturing, and restructuring). The main idea of this study relates to the extent to which organizations’ immunity is achieved through strategic Renewal mechanisms, by measuring these dimensions with Organizational immunity represented by organizational learning, organizational memory, and organizational DNA. The study population was the headquarters of the Iraqi Ministry of Education, and the sample included (330) individuals from the upper, middle, and lower leadership levels. Several statistical methods were used to deal with the results of the questionna

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Publication Date
Mon May 29 2023
Journal Name
Russian Law Journal
LEGAL RULES GOVERNING THE DURATION OF THE CONTRACT IN ITS PERIOD OF FORMATION (COMPARATIVE LEGAL STUDY)
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The duration of the contract is a legal term first provided for in French Amendment Decree No. 131/2016, and given the increasing importance of time in contracts, we have chosen to study the legal rules governing time at the formative stage by drawing on changes in French law compared to both Iraqi and Egyptian laws. Article 1102 of French Amendment Decree No. 131/2016 stipulates that: "Everyone is free to contract or not to contract, to choose the person with whom he contracts, and to determine the content and form of the contract within the limits established by law." Contractual freedom does not permit a breach of the rules relating to public order), as well as article 1104, which provides for (contracts must be nego

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Publication Date
Tue Jun 30 2020
Journal Name
Iraqi Journal Of Market Research And Consumer Protection
MUNICIPAL SOLID WASTE IN IRAQ BETWEEN THE HAMMER OF POPULATION GROWTH AND THE ANVIL OF THE ADMINISTRATION, FACTS, TREATMENTS AND VISION OF THE FUTURE: MUNICIPAL SOLID WASTE IN IRAQ BETWEEN THE HAMMER OF POPULATION GROWTH AND THE ANVIL OF THE ADMINISTRATION, FACTS, TREATMENTS AND VISION OF THE FUTURE
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   Municipal solid waste is one of the most important environmental problems in the world and is an important source of environmental pollution and contributes significantly to the pollution of the basic environmental elements of soil, water and air. The management of municipal waste in general is a process of monitoring, collection, treatment or recycling if possible or disposal of waste. This term is used for waste produced by some human activities. States provide this process to mitigate the negative effects of waste on the environment, health and appearance of the city. It is possible to find solutions to the problem of solid waste and make it an important source of income and contribute to securing employment oppor

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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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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
Mon Mar 01 2010
Journal Name
Journal Of Economics And Administrative Sciences
The importance of measuring and accounting disclosure of intellectual capital To maximize the value of the company
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Most of the big companies and especially the intillictual ones become a ware of an important fact, and That is, The intillictual capital in new global economy, is a new source for Them & This Valuable source exceed in importance. The other company's sources.

The Traditional disclouser systemes are unable to supply the decisions makers with the Fundimental information require to handel the on going operations which are based on Knowledge and intangible source. But the measuring of this source and the disclose for it in the financial Statements will lead to gain features Statements which will benefit all the parties and lead to make the value of the company great.

And as a resul

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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
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
Mon Feb 19 2018
Journal Name
Al-academy
The problem of overlapping concepts in the interpretive practices of literary text (The texts of Shakespeare model)
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The scientific studies that deal with Herminutia (interpretation) as the art of reading the interpretation practiced by the recipient after his understanding of the literary texts and works of art that he sees or read them so that these readings to make the act of reading and allow him the opportunity to mature and rational reflection of each text or artistic work.

Based on this, the researchers considered the establishment of the problem of their research through the search for the problematic overlap of concepts in the interpretive practices of the literary text?

The second chapter dealt with the definition of the term interpretation as well as interpretation as a theory and concept, and then the indicators reached by t

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Publication Date
Tue Mar 01 2016
Journal Name
Al-academy
The aesthetics of design shape of the interior spaces for the syndicate of physicians: ريم باسل نوري
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The research dealt with the topic ' the aesthetics of design shape of interior spaces for the syndicate of physicians' as it reflects visions evolving to the level of tasting and positive interpretation for the space of work to be on a high design level.The research consisting of four chapters as follow; The first chapter examined the problem of the research contracted in the following question: Have the design shapes any role in achieving and showing the aesthetic side for the syndicate of physicians? so the goal of the research was showing the aesthetics of design shape of interior spaces for the syndicate of physicians, The chapter also included the objective spatial and temporal limits of research .Finally the terms were specified. T

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