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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 Sep 29 2024
Journal Name
مجلة نسق
The diplomatic role of IGAD in regional peacemaking: Sudan after 2011 as a case study
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The research discusses the most important goals and means of IGAD in making peace in Sudan and then regional peace.

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Publication Date
Thu Jun 28 2018
Journal Name
Journal Of The College Of Education For Women
The function and Formation of NORTH ATLANTIC TREATY ORGANZIAITON as (NATO) Post Cold War Period
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The problem of this study lies in that NATO was formed in the first place to protect Europe from Warsaw Pact. The geographical and military strategy have been changed with the change of its mission and expanding its operation scope with the leadership of the USA in the international scens. The latter has made this organization as the military arm to tighten its control over strategic regions.

            The research supposes that NATO state members confront security concerns and political and military issues that push to expand the organization. The importance of this study lies in knowing the new roles of NATO imposed by the United States. Therefore, the continuity and affi

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Publication Date
Thu Aug 20 2020
Journal Name
Arab World English Journal
Investigating the Effectiveness of YouTube as a Learning Tool among EFL Students at Baghdad University
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YouTube is not just a platform that individuals share, upload, comment on videos; teachers and educators can utilize it to the best maximum so that students can have benefits. This study aims at investigating how active and influential YouTube can be in the educational process and how it is beneficial for language teachers to enhance the skills of students. The study demonstrates different theoretical frameworks that tackle the employment of technology to enhance the learning/teaching process. It relies on the strategies of Berk (2009) for using multimedia media, video clips in particular to develop the abilities of teachers for using technology in classrooms. To achieve the objective of the study, the researchers develop a questionnair

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Publication Date
Tue Jan 01 2013
Journal Name
Journal Of The College Of Languages (jcl)
A Study in Tess of the D’Urbervilles as A Call for Liberal Education for Women
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Amongst the literary writers who used their art to direct the attention towards the issue of woman and her rights in a proper life is the English poet and novelist Thomas Hardy (1840-1928), who has been praised for his “openness to the feminine principle” 1 as Irving Howe put it. Hardy’s wide readings have changed his way of dealing with and thinking about so many critical issues which started to float on the surface of the English society during the mid and late of the 19th century. His readings for a number of writers, who seem of huge impact on his writings as he later admits that – “[his] pages show harmony of view with

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Publication Date
Wed Sep 22 2021
Journal Name
The Structural Design Of Tall And Special Buildings
Utilizing I‐shaped shear links as dampers to improve the behavior of concentrically braced frames
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Publication Date
Fri Jun 30 2023
Journal Name
Journal Of The College Of Islamic Sciences
The translated text is a second launch of the text (Al-Kharja Al-Muwashah Al- Andalusian as an example
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Literary translation is one of the most difficult types of translation ,because it conveys feelings that differ from one person to another, and since the language constitutes an obstacle to understanding the Andalusian excerpts, the translators resorted to translating it, and this was a second start to the text, different from its first start, is said from the tongue of the Al-washah , The muwashshah is a poetic art that appeared in Andalusia after the Arabs entered it ,characterized by special system It differs from the traditional Arabic poem, as it has a beginning represented in the beginning of the muwashshah and several equal parts ending with differentrhymes.

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Publication Date
Thu Jun 01 2017
Journal Name
Journal Of Economics And Administrative Sciences
The Workplace Fun as Moderator Variable between Leadership Virtuousness and Organizational Brilliance (Applied study at the University of Kufa)
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Abstract

    The current research tested the interactive role between the workplace fun and the leadership virtuousness in the organizational brilliance, in a sample of the teaching staff at the University of Kufa reached (325 staff) out of (2069) professor. The research based on hypothesis model which reflect the research hypotheses from main variables presented  the leadership virtuousness (optimism, forgiveness, trust, compassion and  integrity) for moderating affect with the workplace fun (fun activities, Coworker socializing, manager support for fun). The organizational brilliance will increase in case of providing sub-variables which (leadership brilliance, service & innovation brillianc

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Publication Date
Wed May 17 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Effect of Borax as Source of Boron in the Characteristics of Grape (Visit vinifera L) Cultivar Blank monika.
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A study was carried out in the vineyard at Al- sowayra in the Waset Province to study the effect of boron spray on cluster and fruits traits characteristics of grape cultivar . Borax used  was as a source of boron at the concentrations (0.0 , 0.1, 0.2, 0.3, 0.4 and 0.5 ) g / l . Water plus Wetting agent   (0.05 g/l detergent) was sprayed to induce faom and reduce water surface tension. The spray was implemented twice, first was one week before blooming and the second was after fruit set. Results showed that spray treatment by boron increased. weight and volume of berries and increased cluster's weight bunch length and diameter besides the increased number of Fruits in bunch also Total Soluble Solids (Tss%) was increased wh

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Publication Date
Thu Apr 01 2010
Journal Name
Journal Of Educational And Psychological Researches
The Effect of Using Computer in program BasedStudying for Student in Jordan
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This study aimed at investigating the effect of using computer in
Efficiency of Training Programme of Science Teachers in Ajloun District in
Jordan.
1- What is the effect of using computer in program for the two groups
2- ( the experimental and control group ) .
3- Are there any statistics different in the effect of using computer
program for the two groups ?
4- Are there any statistics (comparison ) or different of the effect of the
effect of using computer program refer to the sex (male or female )?
The community of the study consisted of all the science student in
educational directorate of Ajloun district for the academic year 2009 –
2010, they are (120) ( male and female) . The sample of the study<

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Publication Date
Thu Oct 01 2020
Journal Name
Biochemical And Cellular Archives
ISOLATION OF SOME PATHOGENIC BACTERIA FROM STUDENTS’ MAKEUP AS A PART OF BIOSAFETY IN THE MEDICAL LABORATORIES
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The bacterial contamination of lipsticks and face cream may become a great important matter in the medical laboratories. The present study was designed to determine the types of bacterial contamination in the face cream and lipsticks of undergraduate students. Also, the study aimed to determine the sensitivity of the isolated bacteria against many antibacterial agents. The study included 190 swabs samples from 190 face cream and lipsticks samples of the females’ students from five departments in the Medical Technology Institute, Almansour, Middle Technical University were collected in February 2018. The swab samples were collected with sterile condition and cultured on enriched Blood agar and MacConkey agar. Serial dilutions were made up

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