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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 May 13 2026
Journal Name
Journal Of Al-turath University College
The role of the Prophet ( peace be upon him and progeny) in the field of the Administration Regulation and applying Shura Principle Council in Islamic State Administration
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Publication Date
Wed Jan 10 2024
Journal Name
Annals Of Applied Sport Science
The Effect of an Electronic Device Designed to Measure the Knee Bending Angle in Developing the Skill of Catch and Clearance the High Ball for Football Goalkeepers
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Background. The use of modern aids and technology has contributed greatly to football development, the goalkeeper is the most important position in the team, and the use of devices gave objective readings about the goalkeeper's ability in terms of skill and physical aspects. Objectives. The research aimed to prepare exercises using an electronic device to measure the knee bending angle because of its great importance in developing the skill of catching and dimensions of the high ball for football goalkeepers. Methods. The researchers used the experimental method, and the sample consisted of (4) male goalkeepers under 15 years of age, one of the research procedures was to determine the biomechanical variables affecting the development of the

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Publication Date
Wed Mar 23 2022
Journal Name
Journal Of Educational And Psychological Researches
The Effectiveness of the (PEOE) Model in Teaching Science to Develop the Skills of Generating and Evaluating Information and the Scientific Sense among Intermediate First Grade Students
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The research aimed mainly to discover the effectiveness of the (PEOE) model in teaching science to develop the skills of generating and evaluating information and the emotional side of the scientific sense of the intermediate first grade students. An experimental approach with a quasi-experimental design called pre-test and post-test control design was used. The research sample consisted of (60) students, who were selected in a random cluster method, (30) students in the experimental group studied the unit "The Nature of Material" using the (PEOE) model, and (30) students in the control group studied according to the prevailing method of teaching. The research materials and tools were represented in: a teacher's guide for teaching the un

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Publication Date
Fri Oct 30 2020
Journal Name
Journal Of Economics And Administrative Sciences
The effect of some short-term debt instruments on the money supply and its effect on the production of wheat crop in Iraq during the period (1990_2018).
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The research aims to show the effect of some short-term debt instruments (central treasury transfers, cash credit granted to the government by commercial banks) on the production of the wheat crop in Iraq, through its effect on money supply during the period (1990-2018), As the study includes two models according to the statistical program (Eviews9), the first model included measuring the effect of short-term debt instruments on money supply, and the second measuring the extent of the money supply's impact on Wheat crop production, as the results of the standard analysis showed that the short-term debt instruments used in the model were Significant effect on wheat crop production indirectly through its effect on money supply, As

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Publication Date
Mon Mar 08 2021
Journal Name
Baghdad Science Journal
Impact germination in the content of the chemical components of Homs and sensory qualities of Biskt plant it,
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This study was conducted to identify the impact of germination in the ratio Almaah of Chemical Constituents of Homs and in the organoleptic properties of the Biskt plant it and compare the results with the treatment control (seeds Almnepth) Adhrt results for a significant increase in the percentage of crude protein with the progress of the process of germination, reaching 24.5% in percentage of crude protein with the progress of the germination process Krbu hydrate college during the germination period, reaching 59.2% in the fourth day

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Publication Date
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
The effect of temperature and density of different host spam in efficiency and performance life of the intruder
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Studied competence spam to malicious moth figs at temperatures and Kagafat host different results showed that female intruder, despite their ability to shell larvae host and when densities of different, but it is able to lay eggs at a temperature of 14 + or -1 and finally urged the efficiency spam to malicious affected heavily host and that the greater the intensity of the host spam increased efficiency and its performance life

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Publication Date
Wed May 13 2026
Journal Name
Al–bahith Al–a'alami
The contents of the opening article of electronic newspaper (Al-Nabaa): (Analytical study of duration 2015 for 2018)
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The study aimed to identify what (isis) (Daesh) have been touched in the opening article of Al-Nabaa newspaper

This objective is organized for asset of sub-targets it is the knowledge of media discourse and for those who are directed and methods of employing the strong content debt organization and we used the survay method to monitor and understand the content of opening anticale and the researcher took the numbers of the newspaper for years 2015-2018 consist of 157

The results of this study are :

 

*  Use religious texts from (Holly qoran) (Abbreission of the prophetic) Remove from its context and empby them in justifying in what use of vio

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Publication Date
Wed Oct 17 2018
Journal Name
Journal Of Economics And Administrative Sciences
Redesign of Jobs in the Division of Blood Transfusion Services of the Baghdad Health Directorate Rusafa Case Study
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     The purpose of the theme of redesign of jobs one of the topics the task that offers the possibility for individuals to perform several tasks in the organization of health at the same time gain experience and diverse skills and achieve compatibility between the requirements of the most appropriate function and organization  of the hand ,hence, the idea of studying the redesign of jobs of the division of blood transfusion services in the department of health Baghdad Rusafa to change the conventional methods used in the performance of functions ,which are no longer able to meet the needs of patients where blood transfusion is a key  ingredient in health care and equal access to safe blood is needed

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Publication Date
Fri Jan 02 2015
Journal Name
Desalination And Water Treatment
Effect of pH on the performance of olive pips reactive barrier through the migration of copper-contaminated groundwater
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Publication Date
Thu Aug 01 2019
Journal Name
Journal Of Economics And Administrative Sciences
Effect of the application of IFRS 15 "Revenue from contracts with customers" on the quality of financial reporting
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Abstract

This study aims at identifying the impact of the application of IFRS 15 "Revenue from contracts with customers on the quality of financial reporting, through application to faculty members in the accounting departments of Iraqi universities and auditors. The problem of the study was the multiplicity of accounting rules and standards Which deals with the issues of revenue recognition , as well as the lack of consistency of most of them with the common framework of financial accounting, which results in low quality of financial reporting in the current financial statements, where the formulation of one hypothesis was the lack of relationship of significant significance The application of IFRS 15 "Recognition of rev

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