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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 Aug 15 2023
Journal Name
Al-academy
The architectural design of the holy shrines
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As an architectural philosophical concept, Islamic architecture cannot be considered arches, doors, domes and lighthouses, since Islamic architecture is based on a structural system of religious, mental, philosophical and logical origins and beliefs shared by the arts, technology and the requirements of the surrounding environment. Rather, the architectural designer's distance from it becomes as if it is for people not from this world, and Islamic architecture is not abbreviated on the heritage side as much as it is a renewed "modern" state, dealing with the concepts of Islam that are valid for every time and place. This can be seen through the mechanisms that produced heritage architecture and what was built on it, which is not a simula

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Publication Date
Tue Jan 02 2018
Journal Name
Journal Of Educational And Psychological Researches
The speaking Skill the Children of Kindergartens
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Language is fundamental and important for the development of various skills especially in the kindergarten stage where the child begins to approach others and interact with them linguistically listen to them and make sentences to communicate his ideas to them and without the ability to talk and expression, the child's benefit of his experiences in the kindergarten remains limited.

       And that children at any stage of early education are subject to different stages of linguistic development, and these stages are a fundamental feature in learning, especially for the skills of speaking, listening and reading,  Therefore, the researcher chose the speaking skill the

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Publication Date
Tue Jan 01 2019
Journal Name
Journal Of Craniofacial Surgery
The Fate of the Mandibular Reconstruction Plate
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Publication Date
Sun Dec 12 2021
Journal Name
Turkish Journal Of Physiotherapy And Rehabilitation
The Development of the US Federal System
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Geographical, economic, historical, environmental and security factors play a role in strengthening the drive towards union, as well as addressing the need to express regional and federal identity. This is a clear example of this tendency. One legal or one political system with the parts of this united personality retaining their privacy and identity, and there is a delegation to the central entity of the union with some of the common powers while retaining some powers for these parts or states, which means the availability of autonomy for the constituent states of the union and this is the most important characteristic of the federal states or federations It is the autonomy of each state or country participating in the union. Accordingly,

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Publication Date
Sat Dec 30 2023
Journal Name
Journal Of The College Of Education For Women
Civilizational Manifestations in the City of Astrabath in the Sixth Century AH
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The current study is concerned with presenting a descriptive study of the history of the city of Astrabath in the sixth century AH. The problem that the research tried to answer is represented in the investigation of historical news, and the study of the most prominent cultural aspects which characterizing that city. The research also aims to reach the geographical location of that city, its name and its suburbs. The importance of the research lies in the knowledge of everything related to the role of the civilization of Astrabath, as well as tracing the entry of the Arabs to it, so that it became a cultural, economic and scientific center and its historical role in the sixth century AH. The research reminde us with the scientific role o

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Publication Date
Tue Aug 18 2020
Journal Name
Journal Of Mechanics Of Continua And Mathematical Sciences
THE COMPARISON OF THE METHODS ESTIMATING THE FRACTIONAL DIFFERENCES OF PARAMETER AND ITS DEPENDENCE ON ESTIMATION THE BEST LINEAR MODEL OF TIME SERIES IN THE ENVIRONMENTAL FIELD
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Publication Date
Wed Aug 17 2022
Journal Name
Al–bahith Al–a'alami
Lawyers’ Use of the Website of the Supreme Judicial Council and the Gratifications Obtained from It Drawn Research Submitted for the Study of the Higher Professional Diploma
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The field study of this paper focused on the motives for lawyers to use the website
of the Supreme Judicial Council, and the gratifications achieved as a result of its use.
This study sought to achieve a number of goals, including:
1. Monitoring the patterns of lawyers’ use of the website of the Supreme Judicial Council.
2. Determining the forms that lawyers use to interact on the website of the Supreme
Judicial Council.
This study is a descriptive in kind as the researcher relied on the ‘survey method’ in
its study of the external audience (lawyers) using the questionnaire and scale toolThe questionnaire was distributed among a deliberately chosen sample, consisting of
(160) lawyers who used the website of

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Publication Date
Wed Oct 17 2018
Journal Name
Journal Of Economics And Administrative Sciences
The use of the Principal components and Partial least squares methods to estimate the parameters of the logistic regression model in the case of linear multiplication problem
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Abstract

  The logistic regression model is one of the nonlinear models that aims at obtaining highly efficient capabilities, It also the researcher an idea of the effect of the explanatory variable on the binary response variable.                                                                                  &nb

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Publication Date
Mon Aug 01 2016
Journal Name
Journal Of Economics And Administrative Sciences
The Impact of Business Process Reengineering in the institutional performance : Research in the office of the General Inspector in the Ministry of Higher Education and Scientific Research
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Abstract

       This research is aimed at indicating the impact of business process reengineering on corporate performance in the Office of the Inspector General of the Ministry of Higher Education and Scientific Research of the Iraqi study has identified a problem in a number of the most important questions - what the impact of the Business Process Reengineering at the corporate office performance indicators respondent? What are the actual results of the analysis of paths Administrative Process Engineering and Corporate Performance respondent in the office? In order to achieve the goal of the research and answer the questions of the problem, the study applied to a sample of

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Publication Date
Wed Mar 15 2023
Journal Name
Al-academy
The role of Iraqi nature in the style of the artist Ayath Abdul Rahman Ameen
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This research aims to clarify the role of Iraqi nature in the style of the artist Ayath Al-Doori. Through it, the spotlight was shed on the aesthetic of Iraqi nature, its importance and its relationship to art, and its pioneering role in the style of the Doori artist. The research included two axes: the theoretical axis and the applied axis. The first theoretical axis deals with two topics: The first topic: the aesthetic of Iraqi nature as part of the life and methods of Iraqi artists from ancient times until today, including the periodic artist. The second topic: the league artist touched on the private life of the league artist. As for the second (applied) axis, it includes the research community, the research sample models, the resear

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