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bsj-4152
Representation 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
Fri Jan 01 2021
Journal Name
Prepodavatel Xxi Vek
The Structure of Russian Participles: Special Features of the Grammar Meaning of State
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Publication Date
Wed Jan 30 2013
Journal Name
Al-kindy College Medical Journal
The Role of Glucosamine Chondrotin Sulfate in the Treatment of Osteoarthritis of Knee
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Background: Osteoarthritis (OA) currently seems
inevitable and unavoidable for a large swath of the
population .its etiology relates to a strong ,but
complex ,non mendelian genetic basis ,combined
with mechanical and metabolic factors that cause
molecular alterations the end results of which
affect the whole joint .Glucosamine and
chondrotin sulfate alone or in combination may be
of benefit to a subgroup of individuals who have
knee pain due to OA.
Glucosamine has been shown to alter cartiage turn
over in patients with OA undergoing physical
training
Aim of the study: To find the validity of
glucosamine chondrotin sulfate in treatment of
grade 1 and 2 OA.
Methods: the sample of 280 patients

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Publication Date
Tue Jul 19 2022
Journal Name
Arabian Journal For Science And Engineering
Investigation of the Impacts of Nanomaterials on the Micromechanical Properties of Gypseous Soils
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Publication Date
Thu Mar 31 2022
Journal Name
Journal Of The College Of Education For Women
Spatial Variation of the Manifestations of Visual Pollution in the Municipality of Shula
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The research deals with the problem of visual pollution, as it is one of the most important urban problems that cities suffer from. The concept of visual pollution has recently emerged to describe the deformation and degradation of the urban environment. Visual pollution is defined as any component of the surrounding environment that is inconsistent and not homogeneous with its natural and human components. The volume of visual pollution has doubled due to the non-compliance with the laws, regulations and controls set by the Municipality of Baghdad by the citizens, and to the weak municipal role that the municipality plays in implementing these laws. Therefore, it has become necessary to know the manifestations of visual pollution and th

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Publication Date
Sat Jul 01 2023
Journal Name
Journal Of Physics: Conference Series
The Impact of Six Decades of Trauma on the Health of Iraqi People
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Over the course of six decades, Iraq exposed to many events that have affected the Iraqi people from the social, physical and mental aspects. In this study, two groups of people (2369), from Iraq (G1) and the Michigan, United States (U.S) of America (G2) selected to compare the prevalence rate and effects of trauma factors such as mental illness (anxiety, depression and PTS), somatic diseases (heart disease, hypertension, and diabetes), substances abuse (illicit drugs, alcohol and tobacco), and chemicals pollution), and self-rated health among the two groups. The study results reveals a significant different between the two groups in the all indicators for trauma. The study conclude that Iraqi in U.S. (G2) suffer from factors completely dif

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Publication Date
Sat Feb 01 2020
Journal Name
Journal Of Economics And Administrative Sciences
Analysis of the reality of the problem of banking stumbling in Rafidain Bank
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The process of granting loans by banks is the confidence they give to their customers, but this trust should not be a cornerstone in granting loans even if granted these loans on the basis of sound banking should involve risks that may be exposed to the bank because of the failure of the client to meet The bank's financial obligations to the bank due to the unexpected economic conditions affecting the customers, which makes them in a state of faltering, which weaken the ability of banks to provide loans, which are the most important sources of revenue and profits, so the problem of non-performing loans is one of the main problems facing most of the banks Which impede the functioning of its work and the reasons that led to the agg

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Publication Date
Sun Jan 27 2019
Journal Name
Journal Of The College Of Education For Women
Analytical study of the images and roles of women and men in the books of the Arabic language at the elementary level
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Importance of the research:
The importance of any educational or scientific research through its intellectual arena of facts supply the individual and society, Supports Knowledge and Science Group, which raised will be locked in these topics in the future.
This research seeks to shed light on the image and the role of women and men in the books of the Arabic language in primary education (primary), To illustrate the negative effects of the phenomenon of sexism in textbooks, And its negative impact on emerging, And stay away as much as possible about the distinction between the sexes in the roles and qualities in textbooks traditional stereotypes and remove that put both sexes templates hinder the development of the individual and t

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Publication Date
Tue Oct 01 2019
Journal Name
Biochemical And Cellular Archives
ANALYSIS OF THE AMINO ACIDS IN THE LIVER OF THE EMBRYO AND THE ADULT OF DOMESTICATED CHICKEN GALLUS GALLUS DOMESTICUS (LINNAEUS, 1758)
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The amino acids in the liver of chick embryo was analysed for ages (7, 11, 14 and 19) days incubation and small chicken aged (14) days after hatching and adult. The study recorded (18) amino acid, the highest concentration of amino acids in the liver of embryo age (7) days incubation was Cysteine (Cys) and in small chicken aged (14) day after hatching, the following amino acids were found: Asparagine (Asn), Alanine (Ala), Histidine (His), Threonine (Thr), Valine (Val), Lysine (Lys), as well as in adult the following amino acids were recorded the highest concentration: Aspartic (Asp), Glutamic (Glu), Serine (Ser), Arginine (Arg), Proline (Pro), Glycine (Gly), Tyrosine (Tyr), Methionine (Met), Isoleucine (Ile), Leucine (Leu) and phenyl alanin

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Publication Date
Tue Jul 01 2025
Journal Name
Journal Of Studies In Humanities And Educational Sciences
The Effect of the Needham Constructivist Model on the Achievement of Third Year Biology Department Students in the Subject of Teaching Methods
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The current research aims to know the effect of Needham's constructivist model on the achievement of third-year students in the Life Sciences Department in the teaching methods subject. To achieve the research objectives, the experimental method was followed for the experimental and control groups with dimensional measurement of the achievement variable of the teaching methods subject. The research sample included (62) students in the third year of the Life Sciences Department, distributed into two equal groups in the variables (self-assessment of learning methods - chronological age in years - intelligence level - previous information). To measure the level of students' achievement, an achievement test was constructed consisting of (40) te

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Publication Date
Thu Aug 01 2019
Journal Name
Journal Of Economics And Administrative Sciences
Analysis of the sustainability of the public debt in light of the volatile oil revenues in Iraq for the period (2005-2015)
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Abstract

This study deals with the fluctuations of oil revenues and its effect on the public debt. This can be studied through the indicators of debt sustainability, the financial, and economic indicators which express the risk of debt. The study focuses on clarification of the public debt path and its management both domestic and foreign. The sustainability of debt takes an important role according the macroeconomic variables. This study stresses the relationship between the rental economy in Iraq and the risk of the public debt, it is very important to work high oil prices, and on investigating during high work to establish a fund to support the budget deficit. This will reduce future risks arising from the use of publi

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