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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 Dec 15 2020
Journal Name
Al-academy
Simulation As One Of The Tools Of Visual Thinking And Its Effect On Developing Drawing And Design Skills To Produce Innovative Artworks: عائشة عبد الجبار العيسى
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The research emphasizes importance of preliminary drawings in design of any product. Therefore, using of simulation as tools for visual thinking in developing drawing and design skills. So that practice of drawing by hand, considering shape of ideas in first stage of visualizations, and practice of its techniques and continuous training.
Hence, the research problem arose with the role of simulation method for developing preliminary sketches in the sample of students of the Product Design Department at the College of Design and Art, PNU, as it is important tool for visual thinking that helps the designer in designing and producing innovative artistic works.
Therefore, the research axes, a number of findings and recommendations were

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Publication Date
Wed Jan 01 2020
Journal Name
Desalination And Water Treatment
Combination of the artificial neural network and advection-dispersion equation for modeling of methylene blue dye removal from aqueous solution using olive stones as reactive bed
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Publication Date
Tue Mar 28 2017
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
Evaluation of Rosuvastatin Effect as Adjuvant Therapy to Methotrexate on Lipid Profile and the Possibility of its Cardioprotective Effect in Iraqi Patients with Active Rheumatoid Arthritis
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Rheumatoid arthritis (RA) is a common inflammatory disease that associated with increased morbidity and mortality due to accelerated atherosclerosis. Rosuvastatin is a unique hydroxy methyl glutaryl Co A (HMGCoA) reductase inhibitor that has anti inflammatory effects.

The aim of this study was to evaluate the effect of rosuvastatin as adjuvant therapy to methotrexate (MTX) on lipid profile and its possible cardioprotective effect in RA patients. A double blinded placebo controlled clinical trial with 8 weeks follow up periods at which 40 patients with active RA using MTX were randomized into 2 groups to receive either rosuvastatin 10mg or placebo as adjuvant therapy to MTX. In addition to twenty healthy subjects as control group.

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Publication Date
Sun Feb 03 2019
Journal Name
Journal Of The College Of Education For Women
Al-wakidi as a documentary historian
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This research is about the resources and the way of al-Waqidi in his
researching of al-sira of the Prophet. And what happened in the first of Islam.
This research is about the documents which al-Waqidi had it. Some of it,
which he had visited, was the places, especially the periods which the events had took
place in. He was asking those whom were contemporary to the happenings, from the
sons of al-Sahaba and al-Tabi’een.
Also this research is lightening on the new studies that gave this historian a
good respect during his work, in which he could gave the reality about his authorship.
The research is trying to draw real way of al-Waqidi and what were reported by him,
especially the documents, and what he had s

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Publication Date
Sat Feb 02 2019
Journal Name
Journal Of The College Of Education For Women
Imagination as a Path to Reality
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Imagination as a Path to Reality

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Publication Date
Tue Dec 01 2009
Journal Name
Iraqi Journal Of Physics
Laplacian Operator as Speaker Identification Parameter
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New speaker identification test’s feature, extracted from the differentiated form of the wave file, is presented. Differentiation operation is performed by an operator similar to the Laplacian operator. From the differentiated record’s, two parametric measures have been extracted and used as identifiers for the speaker; i.e. mean-value and number of zero-crossing points.

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Publication Date
Sat Oct 01 2022
Journal Name
Journal Of Pakistan Association Of Dermatologists
Zinc as an essential element for normal immune reactions and as a therapeutic agent for autoimmune diseases
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Publication Date
Tue Sep 15 2020
Journal Name
Al-academy
The Directorship Vision in Epic Drama Shows " AWNI KROMI AS AN EXAMPLE": فرحان عمران موسى-مصطفى لطيف محسن
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  The theory of the epic theater has received wide attention by filmmakers around the world because of its great impact on the artistic work of the theater and its relationship with societies, and among these directors the Iraqi directors have been influenced by the epic theater and its applications in the show.
In order to find out the effectiveness of these influences on the Iraqi director, I found the need to do this study, which was divided into an introduction and a theoretical framework that included two topics. The first topic (Philosophical References and the Intellectual Foundations of the Epic Theater Theory) deals with the philosophical foundations that crystallized the epic theory of Burch and the mechanism of working

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Publication Date
Thu Mar 19 2015
Journal Name
Al-academy
Theatrical Visual System between the Cultural Identity and Globalization Culture Iraqi Theatre as Case Study: فرحان عمران موسى
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It seems that the features of the theatrical discourse , since its early establishment by the Greeks, were cultural features specifically confined to that society. Such features determined the direction of the theatrical discourse for this state instead of that state. There could be some sort of similarity among those features , nevertheless they remained within the general humanitarian framework . What achieved relatedness were those features and particularities that distinguished the theatrical community. Such features and particularities vary from one show to another. This is what we call " Local Specificity" .The Iraqi theatrical memory has always emphasized the concept of Experimentation through originality and renewal since the arr

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Publication Date
Sun Jun 05 2016
Journal Name
Baghdad Science Journal
Synthesis and Biological Effectiveness of Some new Azo Compounds as Derivatives of Nitrogen Bases
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In this study the new azo compounds (3compounds) for nitrogen bases (Adenine and Cytosine) are synthesized through two reaction steps (formation of diazonium salt and coupling reaction). The compounds have been characterized by FTIR, melting point, and ultra-violate (UV) spectra. All synthesized compounds have been estimated in vitro for their antimicrobial activities against two species of bacteria(E.coli, S.aureus)and one kind of fungi ( Aspergillus flavus) .The results show that these compounds have very good antibacterial and antifungal activities especially compounds 1 and 3.To study the effect of these compounds were making some physiological tests on rats are made ,the results of hematological study showed decreasing level of

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