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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
Wed Oct 30 2024
Journal Name
Iraqi Journal Of Science
Determining the Relationship between the Crescent Visibility Factors and the Coordinates of the Sun and Moon
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The study of the relationship between the coordinates of the sun and the moon with the crescent visibility factors has not been previously treated in a detailed and accurate way in  research and previous studies, despite its religious importance. Accordingly, this paper aims to study the relationship between the crescent visibility factors (age, lag time, elongation (ARCL), arc of vision or relative altitude (ARCV), relative azimuth (DAZ), and crescent width (W), with coordinates of the sun and the moon), and how it varies during the day of the crescent's observation. In this paper, Matlab programs were designed to calculate the ecliptic sun and moon coordinates (λ, β) and in the presence of all perturbation impacts (planets), th

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Publication Date
Wed Mar 30 2022
Journal Name
Journal Of Educational And Psychological Researches
The current research aims to identify the visual culture skills of students of the College of Education for Pure Sciences / Ibn Al-Haytham
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  • Identifying the visual culture skills of students of the College of Education for Pure Sciences / Ibn Al-Haytham.
  • Identifying the statistically significant differences in the visual culture skills of students of the College of Education for Pure Sciences / Ibn Al-Haytham according to the gender variable.
  • And the descriptive approach was used, due to its relevance to the nature of the research objective.

    To verify this, the visual culture skills test consisted of (22) items of the multiple choice type, where the (Koder Richardson 20) equation was applied to calculate the stability of the visual culture skills test. For the skill of writing

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Publication Date
Fri Mar 15 2019
Journal Name
Journal Of The College Of Education For Women
The Warning Messages of Jeanne DuPrau’sThe City of Ember to the World with Reference to Gil Kenan’s Film Adaptation: The Theory of Conspiracy
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The City of Ember is a very interesting novel that is although intended for young readers, have so many layers and messages that are misunderstood. In this research, both the novel and the film adaptation are studied with the intent to decode the warning messages that the novelist and the director tried to introduce to the audience. The research studies four vital messages; the first message is that history repeats itself for the novel has many allusions to the history of Jews and their painful holocaust and even goes back in history the days of Moses and the Exodus, the second message tackles the conspiracy theory that states nothing happens by accident and that everything is planned and connected hence comes the third message

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Publication Date
Mon Oct 15 2018
Journal Name
Iraqi Journal Of Market Research And Consumer Protection
STUDY OF THE EFFECT OF MAGNETIC FIELD POLES ON THE GROWTH OF Staphylococcus AND Streptococcus ISOLATED FROM TOOTH DECAY: STUDY OF THE EFFECT OF MAGNETIC FIELD POLES ON THE GROWTH OF Staphylococcus AND Streptococcus ISOLATED FROM TOOTH DECAY
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The study aimed to determine the impact of energy for the north and south magnetic poles on the the growth of bacteria isolated from cases of tooth decay, 68 swabs were collected from surfaces of faulty tooth, the detected of Staphylococcus aureus

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Publication Date
Wed Mar 29 2023
Journal Name
Journal Of The College Of Education For Women
The Counselor Brent Scowcroft and his Role in Achieving the Requirements of the American National Security
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       Despite the multiplicity of institutions contributing to the decision-making process in the United States of America, they interact to crystallize positions regarding international and strategic situations. The formulation of the national security policy depends on a number of institutions that complement each other in order to achieve an advanced security situation. Thus, the decision reflects the process of interaction of the existing regulatory institutions. This is because the essence of the national security and achieving its requirements also stems from the existence of a coherent system of shared beliefs and principles in the American society. Besides, these elements are the bases for achieving

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Publication Date
Wed Dec 30 2015
Journal Name
College Of Islamic Sciences
Conflict investigation methodology Between the news and the work of the people of the city
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Praise be to Allah, Lord of the Worlds and prayers to our master and our beloved Muhammad and to his God and companions.
The Sunnah of the prophet completed the prayer and delivery agreed to accept them as evidence of legislation, and the fundamentalists differed in accepting the news of Sundays in the pieces, and most likely if the hadeeth is proven, and completed the correct conditions there is no objection to accept it in branches and pieces. As for the work of the people of the city is one of the evidence adopted when the imam Malik, who is the Imam of the House of the Prophet's blessed immigration, and scientists differ greatly. If you offer a ruling and the ruling of the Hadith of the individual, and the rule of the work of the

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Publication Date
Fri Dec 15 2023
Journal Name
Al-academy
The composition of the fragmentary image of the actor's performance in the Iraqi theatrical show
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The theatrical image represents one of the tools of communication with the other to create a communicative language that is produced and transmitted by the actor and his body through the theatrical space to convey the meaning in all its forms and types. The actor is concerned with the composition and construction of these images. My girl, the image is fragmented and multiple and different. Therefore, based on the foregoing, the researcher has divided his research into four chapters, representing the (methodological framework). First, the research problem, which is manifested in the following question (what is the structure of the fragmented image of the actor's performance? The Iraqi playwright), and secondly: the importance of the resea

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Publication Date
Sun Dec 16 2018
Journal Name
Al-academy
The Eloquence of the Sound in the Production of Mental Image in the Feature Film
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The ideas and information obtained by the viewer in the cinema have always been the source of the visual image, but that doesn’t negate the fact that the mental image can produce a lot of the information and ideas in the cinematic art and the most important means to achieve this mental image in the film is the eloquent cinematic sound. This research is conducted to show this important and effective contribution of the sound in the production of the mental image. Hence the importance of this research is in that it addresses an important issue which is the eloquent performance of the sound and its role in the production of the mental image inside the space of the feature film. This research concerns those working the field of cinema and

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Publication Date
Fri Aug 26 2022
Journal Name
Journal Of Advanced Research In Hr And Organizational Management
The Role of the Talent Management Strategy in Achieving the Entrepreneurial Performance of the Organization
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The research aims to identify Determination talent management dimensions of (attracting talent, developing talent, directing talent, performance management talent, retain talent) in the entrepreneurial performance of the organization dimensions of (advance planning, efficiency, effectiveness), so search occupies the extreme importance of being treated important and recent issue of the performance Entrepreneuria, management talent, aware of the importance of the subject and expected results of the company surveyed, was an analysis of data obtained through field visits in addition to the questionnaire and interviews, highlights were the results that have been reached to take the sample into account all the management requirements knack of att

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Publication Date
Tue Aug 01 2023
Journal Name
Journal Of Engineering
Simulation of the Entrance to the Escape of the Flood Branching from the Diyala River
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The Diyala River is considered the third most important river in Iraq. However, in the recent period, Diyala Governorate has been subject to several floods. This study aims to simulate an efficient labyrinth weir at the flood escape entrance branching from the Diyala River to reach the best entrance through which the flood waves can pass safely. The discharge coefficient was calculated laboratory for five types of trapezoidal side labyrinth weirs with different sidewall angles. Results showed that the coefficient discharge for the trapezoidal labyrinth side weir with an angle of the sidewall is 75ᵒ and has a discharge coefficient greater than the rest of the labyrinth side weirs. The second part of this study is valida

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