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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
Sun Dec 30 2012
Journal Name
College Of Islamic Sciences
The importance of logic in the study of Islamic sciences
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Logic is one of the sciences that have receded and regressed in the field of Islamic sciences. This regression is the result of several factors, the most important of which are:

1- The Aristotelian logic, concerned with the seemingly essential shape and the underlying truth in the text, which has been translated into Arabic, is no longer able to keep pace with scientific revelations and epistemological spaces of our time.
2- The existence of logic in the curricula of Islamic studies was not subject to a study linking logic and Islamic sciences. Therefore, we find that the student studies logic as if it were a strange subject that has nothing to do with the subjects of Islamic studies and even Islamic philosophy.
3- Logic is

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Publication Date
Thu Dec 01 2011
Journal Name
Journal Of Engineering
The Effect of Shear on the Properties of Rigid PVC
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The rheological and fusion behavior of polyvinyl chloride (PVC) compounds plays a dominant role in
the processing operations and in the development of physical properties in the processed material. A
comprehensive study was made in this work to evaluate the effect of shear and thermal history on stability, mechanical and rheological properties of rigid PVC compounds. Different samples of Rigid Poly vinyl chloride including dry blend powder, granules, and bottles molded from both were examined. A study was also made on recycled RPVC where 25% of reclaimed material was continuously blended with fresh dry blend and processed for 15 cycles. Results showed that compaction of the PVC material took place in the brabender plastograph at co

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Publication Date
Tue Jan 10 2023
Journal Name
International Journal Of Emerging Technologies In Learning (ijet)
The Importance of Using the Internet of Things in Education
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The subject of the Internet of Things is very important, especially at present, which is why it has attracted the attention of researchers and scientists due to its importance in human life. Through it, a person can do several things easily, accurately, and in an organized manner. The research addressed important topics, the most important of which are the concept of the Internet of Things, the history of its emergence and development, the reasons for its interest and importance, and its most prominent advantages and characteristics. The research sheds light on the structure of the Internet of Things, its structural components, and its most important components. The research dealt with the most important search engines in the Intern

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Publication Date
Wed Mar 30 2016
Journal Name
College Of Islamic Sciences
Methods of Quran inference On the existence of the Creator of sleep
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The issue, the existence of God Almighty, and the creativity of the universes including the whale, and assets and how diversified, and faith in him and his lordship and divinity, is a delicate issue, and very important and dangerous, and it occupied human thought old and new, and still occupy it until God takes the land and on it. Many complex issues of thought, behavior, and ethics have resulted in the belief of many communities in the existence of the Almighty, having ruled their minds, depicting their beliefs and distancing their thoughts about slippage and abuse. When they looked at the wonders of creatures and the minutes of the assets, they thought about the planetary and astronomical motion systems. His existence was denied by ath

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Publication Date
Fri Jan 01 2016
Journal Name
Al–bahith Al–a'alami
Levels of Credibility of the Press within the Structural Model of Credibility
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There is confusion between the concept of honesty and credibility arguing that their meaning is the same. ‘Credibility; is derived from the truth which means evidence of honesty, while ‘honesty’ means not lying and matching reality. The study of credibility begins globally at the end of the fifties of the second millennium to see the decline and refrain from reading newspapers, while it was studied in the Arab world in 1987. Global studies find several meanings of the concept of ‘credibility’ such as accuracy, completeness, transfer facts, impartiality, balance, justice, objectivity, trust, honesty, respect the freedom of individuals and community, and taking into account the traditions and norms.
Credibility has two dimens

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Publication Date
Sat Sep 15 2018
Journal Name
Journal Of Baghdad College Of Dentistry
Evaluation of the efficacy of ultrasound in the diagnosis of cervical lymphadenopathy
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Background: Cervical lymph nodes are prone to involved by a number of pathologic processes. They are common sites for lymphoma, metastasis, and reactive enlargement in a number of conditions. Aims of the study:-Clinical evaluation of patients with cervical lymphadenopathy. Differentiation between benign and malignant lymph nodes by means of ultra sounds (US) and Correlate the US findings with cytological and/or histopathological findings of cervical lymph nodes. Subjects, Materials and Methods:-The present study was carried out over a period of 6 months and included 81 patients of different age groups presenting with cervical lymphadenopathy. Each patient was examined clinically, then comprehensive sonographic examination of the neck for

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Publication Date
Sun Dec 01 2024
Journal Name
Научный Форум: филология, искусствоведение и культурология
Motivating signs of the concept of "Summer" in the linguoculture of Iraqis.
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Publication Date
Wed Aug 03 2022
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The pioneering trend in managing health institutions and its impact on improving the quality of services : A case study in some institutions of the Iraqi Ministry of Health
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This study seeks to identify the role that the leadership trend plays in the management of health institutions in Iraq and its impact on improving the quality of the health service provided by analyzing some opinions of affiliates working in the Iraqi health sector where a survey list was used as a main tool for collecting primary data, as it was subjected to this analysis ( 60) of the medical staff, of whom (40) are doctors and (20) are affiliated with the rank of assistant physician, and (60) members of the administrative cadre have undergone their various job ranks and administrative specializations (department manager, auditor, observer, accountant, statistician, secretary). Reliance on statistical software (spss) in data ana

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Publication Date
Sun Mar 01 2020
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
Implement some basic health accreditation standards Issued by the Health Care Accreditation Council (HCAC) for auditing the Performance of Hospitals: Applied research at the Education Children Protection Hospital
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The health care provided by health institutions and all kinds suffers from many problems, and since the health services provided are related to human life, it is necessary to shed light on this activity and identify the causes of these problems. This research aims to Definition of health institutions (hospitals) Performance audit of these institutions according to the latest indicators, which are the standards of health accreditation for hospitals, specifically the basic standards issued by the Health Care Accreditation Council (HCAC) to reach the level of performance and Knowledge of Constraints that lead to in an acceptable manner consistent with the approved standards. In theoretical and practical study, a number of conclusions were r

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Publication Date
Thu Nov 01 2018
Journal Name
Iraqi National Journal Of Nursing Specialties
Evaluation of the performance of private hospitals from the point of view of the beneficiaries (A field Study in the private Sector hospitals in Baghdad)
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Objectives: This Paper is an attempt to evaluate the services provided by the private hospitals
and to identify the strength and weakness in
their performance The results can be utilized in stating conclusion and recommendations to improve
and activate the role of private medical sector in society .
Methodology: A questionnaire has be designed for this purpose and distributed to ( 132 ) beneficiaries
mostly from Baghdad private hospitals .
Results: The paper has come out with many important results . Among These are the following :
* these who benefit from services provided by private hospitals believe that the good performance of
such hospital is not due to the medical services alone but also to scientific aspect

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