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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
Sat Jun 01 2024
Journal Name
Materials And Structures
Exploring the efficacy of sawdust ash as a mineral filler substitute for the production of asphalt mixtures
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Many waste materials can be repurposed effectively within asphalt concrete to enhance the performance and sustainability of pavement. One of these waste materials is sawdust ash (SDA). This study explores the beneficial use of SDA as a substitute for limestone dust (LD) mineral filler in asphalt concrete. The replacement rate was 0%, 15%, 30%, 45%, and 60% by weight of total mineral filler. Scanning electron microscopy (SEM) was employed to assess the surface morphology of Sawdust (SD), SDA, and LD. In addition, a series of tests, including Marshall stability and flow, indirect tensile strength,moisture susceptibility, and repeated uniaxial loading tests, were conducted to examine the performance characteristics of asphalt mixtures of diffe

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Publication Date
Fri Mar 31 2017
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
The Effect of some Variables on the Formulation of Captopril as Tablets Shaymaa Nazar Al – Sammarrai
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Captopril is an angiotensin converting enzyme inhibitor (ACEI) used to treat hypertension,
congestive heart failure, and myocardial infraction.
The only dosage form available for captopril is the plain tablet in strength of 12.5,25,50 and 100mg
tablet.
This investigation is concerned with factors affecting the formulation of captopril as a plain
tablet dosage form of 50mg. Many trials were made to prepare satisfactory tablets for the drug by
using wet – granulation methods with various additives. It was found that poly vinyl pyrrolidone
(P.V.P.) as binder gave the most satisfactory tablets. At the same time a shorter disintegrantion time
and slower dissolution rate were obtained with the addition of starch

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Publication Date
Mon Oct 01 2018
Journal Name
2018 International Conference On Advanced Science And Engineering (icoase)
Real-Time Face Tracking and Recognition System Using Kanade-Lucas-Tomasi and Two-Dimensional Principal Component Analysis
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Publication Date
Sun Oct 02 2011
Journal Name
Journal Of Educational And Psychological Researches
Levels of Geometrical Thinking of The Students of Mathematic Department in Basic Education College at AL- Mustansiriyah University
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This  research aimes to expose the levels of geometrical thinking among the students of mathematic department in Basic Education College at AL-Mustansiriyah University throughout their respondes on the test of  geometrical thinking which consists (50) multi- choice items  distributed on the first four levels of Van Hiele ( recognition – analysis – ordering – deduction ).

The validity and the reliability of the test have been investigated. Besides, the difficulty and its discrimination have been measured. The activity of the wrong variables has been measured.

The test has been applied on (180) male and female students of the first, second and third grades.

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Publication Date
Thu Jan 23 2025
Journal Name
Научный форум
PHRASEOLOGISMS RELATED TO THE USE OF COLORS IN SPEECH AS A MEANS OF ENRICHING MODERN RUSSIAN LANGUAGE
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The paper examines key aspects of the use of phraseologi-cal units related to colors in Russian culture and speech. It explores their role in shaping cultural identity, reflecting national characteristics and men-tality. The study analyzes the frequency and contexts of the use of color-related phraseological units in contemporary speech, as well as the influ-ence of media and literature on their popularization. The author highlights the significance of phraseological units in preserving cultural heritage and fostering a deeper understanding of language and culture.

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Publication Date
Tue Dec 28 2021
Journal Name
The Iraqi Journal Of Veterinary Medicine
Evaluating Expression of the STAG1 Gene as a Potential Breast Cancer Biomarker
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STAG proteins, which are part of the cohesin complex and encoded by the STAG genes, are known as Irr1/Scc3 in yeast and as SA/STAG/stromalin in mammals. There are more variants as there are alternate splice sites, maybe three open reading frames (ORFs) code for three main proteins, including: SA1 (STAG1), SA2 (STAG2) and SA3 (STAG3). The cohesin protein complex has various essential roles in eukaryotic cell biology. This study compared the expression of the STAG1 gene in four different breast cancer cell lines, including: MCF-7, T-47D, MDA-MB-468, and MDA-MB-231 and normal breast tissue. RNA was extracted from these cell lines and mRNA was converted to cDNA, and then expression of the STAG1 gene was quantified by three sets of specific prim

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Publication Date
Mon Jan 01 2024
Journal Name
Journal Of The College Of Languages (jcl)
Individualism and the Symbolic Language of Imagination (Pablo Neruda as an Example)
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Pablo Neruda's artistic distinctiveness can be considered in two ideas or attitudes of romanticism. First, the imagination, which is the result of conduct and spirituality, and second, the individualism, which is a collection of mysterious mysteries from the texts of individuality based on philosophical sonnets. His collection of poems points out the ethereality and indescribability of life, employing the reality of life at the level of human perception in a symbolic language. In other words, Pablo Neruda recreates the meanings in poetry through the three ideas of reduction, interpretation, and analysis. "What is the essential connection between individualism and the symbolic language of Pablo Neruda's imagination and What are the reason

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Publication Date
Thu Jul 01 2021
Journal Name
Review Of International Geographical Education (rigeo)
Walkability as one of the Planning Treatments to Face Epidemics in Cities
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Walkability as one of the Planning Treatments to Face Epidemics in Cities

Publication Date
Mon Dec 30 2019
Journal Name
College Of Islamic Sciences
The Holy Qur’an Approach to Evidence (Signs of branding as a template)
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The aim of the current research is to study a topic from the Qur’anic topics, few have researched it and realized its content, so people knew it in one name in the Qur’an in another name, and due to the ancientity of the topic and its contemporaneity, I wanted to write about it. The research has an introduction, three demands, and a conclusion with the most important results of the research:
As for the introduction: It was to indicate the importance of the topic and an optional reason for it.
As for the first requirement: it included the definition of reasoning, its divisions, and its characteristics.
As for the second requirement, it was to indicate the meaning, types, and methods of labeling it.
As for the third require

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Publication Date
Thu Aug 20 2020
Journal Name
Al-mustansiriyah Journal Of Science
The Importance of 2-AminoThiazole Schiff Bases as Antimicrobial and Anticancer Agents
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The pharmacophore 2-aminothiazole has an interesting role in pharmaceutical chemistry as this led to the synthesis of many types of compounds with diverse biological activity. Schiff base derivatives at the same time contribute to drug evolution importantly. In this review, the Schiff base derivatives of 2-aminothiazole formed and some of their metal complexes are being focused on, and the antimicrobial and anticancer activity of them is being illustrated.

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