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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
Mon Jun 19 2023
Journal Name
Journal Of Engineering
Theoretical Study of the Effect of Permeability Tensor upon Drainage of Soils
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the influence of permeability tensor upon drainage of anisotropic soils under ponded water and steady recharge (rainfall) is theoretically investigated. Tensorial permeability has led to the formulation of mixed type partial differential equations. Since there is no analytical solution to this problem, the formulation is therefore solved numerically by the method of finite elements. The finite element formulation is implemented into a computer model which can be applied to any problem of seepage under steady state
conditions. Two different example problems representing two different flow conditions under full anisotropy have been studied. Results of the model for the isotropic case were checked against exact mathematical solutions de

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Publication Date
Sun Jun 26 2022
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The role of banking effort tests in the face of monetary credit risk and its impact on the profits and adequacy of the bank’s capital : / a case study of Sumer Commercial Bank for the period from 2015 to 2020
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The research seeks to identify the proposed scenarios to predict and ward off monetary credit risks that the bank is exposed to in the future, using the banking stress tests model, and showing their impact on capital adequacy and profitability ratio,To achieve this purpose, Sumer Commercial Bank was taken as a case study, and mathematical equations were used to extract the results. Low percentage of profits and returns, strictness in the process of granting credit and financing operations in order to reduce credit risks.

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Publication Date
Fri Apr 12 2019
Journal Name
Journal Of Economics And Administrative Sciences
The relationship between social capital and knowledge sharing and their impact on improving the educational service quality: an analytical study of the views of a sample of academic staffs in the government universities in the Kurdistan Region of Iraq
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Abstract

This study aims to find the relationships between social capital (social network, social trust, shared goals) and knowledge sharing (knowledge Donating, knowledge collecting) as independent variables and their impact on improving the quality of educational services (academic staffs quality, Quality of teaching methods and study curriculums). This research is an important, because it attempts to identify the relationship between social capital and the knowledge sharing and their effect on improving the quality of educational service for universities. The study problem was determined in several questions related to the nature of the correlation relationship - the impact between the different independent variables (

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Publication Date
Fri Jan 05 2024
Journal Name
Al-academy
Reading in the Scenery of the performance and its developments
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The importance of this research in studying the actor life existence on the stage through the performance art;where as all the literary theatrical dimensions didn't ignore the importance of the actor's performance.
So, it is shed a light on the nature of the scenery in the actor's performance and what its representations in the temporary directions ……..
The research set off from the imitation as a human instinct to the performance of the actor in post-modernity theater; so the researcher found that there is a question must be answered which is :Is the actor live a regression state in his theatrical performance ,or that the performance of the actor connect with collective conscience of human being which is repeated in certain

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Publication Date
Tue Oct 12 2021
Journal Name
Review Of International Geographical Education Online
Tracking the Emergence of the Iraqi Paralympic Committee until 2020
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MII Al-Itabi, WH Abdulameer, OSS Al-Mashhadani, Review of International Geographical Education Online, 2021 - Cited by 1

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Publication Date
Mon Feb 04 2019
Journal Name
Journal Of The College Of Education For Women
The archaeological and religious sites on the city of Babylon
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The archaeological and religious sites play a prominent role in the rest of the other tourist activities as cultural and spiritual needs that can not be dispensed with. Archaeological sites represent cultural origins of the nation. Religious sites represent the state of man's orientation to God in places of worship . The focus was on the city of Babylon because it is an ancient city and tourist because of its characteristics and elements. The importance of the city of Babylon is illustrated by highlighting its archeological and religious status through its geographical distribution. This gives the subject special importance for the purpose of knowing the city's important sites. And come out with a number of results and a set of recommend

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Publication Date
Sun Jun 29 2025
Journal Name
Al-academy
The Narrative Treatment of The Climate Change Topic in Film
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لم تولد الجماهيرية العالية للسينما من فراغ، إنّما تحققت من إيمان المتلقي العميق، بأن الفيلم أبعد من محاولة للترفيه، فالسينما هي فلسفة العصر، التي تتناول القضايا المهمة لتقدمها عبر حكايتها مؤطّرة بمنطق محدّد ومدفوعة ببناء عاطفي مؤثر، يهيئ المتلقي للاهتمام بهذه القضايا واستيعابها، والتغير المناخي واحد من أهم المواضيع التي بدأت السينما في الحقبة السابقة بتبنيها وتقديمها ضمن بنى حكائية تزيد من وعي المتل

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Publication Date
Fri Dec 31 2021
Journal Name
Journal Of Peace For Humanities And Social Sciences Jphsc
The Role of Contract Duration in the Pre-Contractual Phase
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Time crosses one of the most important principles that are agreed upon in contracts, because the temporal dimension has a significant impact on all contract provisions and is not limited to a certain group of them. French and Arab legal jurists alike called for this dimension to be given special attention. That is the term of the contract term; To try to limit the temporal elements, clarify their provisions and distinguish between them, but in the Arab world it did not receive the same attention that it received in the West.

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Publication Date
Wed Jun 14 2023
Journal Name
Al-academy
The Popular Imagination in the Sculpture of Muhammed Ghani Hikmat
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Talking about the importance of the imagination in sculptural works has a role in shaping the collective memory and moving it, whether it is an artistic, social, religious or historical imagination. Because it documents the cultural heritage of any country through the structural structure of the sculptural form, and its connotations and symbols, which are considered an effective aesthetic image in the crystallization of various intellectual concepts and contents.
Therefore, the study aimed to know the employment of the popular imagination in the artistic works of the sculptor (Muhammad Ghani Hikmat), as well as to reveal the artistic and aesthetic features of the folklore and its reflection on its artistic style. And the references

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Publication Date
Thu Jan 24 2019
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The Role of Commercial Banks in the Anti-Money Laundering
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Characteristic of money laundering phenomenon is a compound and complex nature like the style of regular crimes . These operations are planned and excuted with those who have high quality experiences to hide the evidences of their deeds so They ask the help of financials ,economicals and legists to plan for money laundering. Banks are important and suitable places for illegal circulation of money because of the different types of accounts , rapidity and overlap which emphasis of its main duty to dislocate illegal money which comes from illegal sources without adding legal characteristic to it . Here we should explain the important role of banks in striving the phenomenon –Bank should try to show and analyze inward proced

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