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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 21 2025
Journal Name
Al–bahith Al–a'alami
Employment of Body Language in Television Advertising An Analytical Study of Al-Hayat TV Commercials (The Egyptian Series as a Model)
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Whatever the designers of the advertisement in choosing the text and spoken phrases, those phrases cannot give or convey the full meaning to the recipient only if this spoken and written language is reinforced with another language based on the signals, movements, and symbols that are displayed using the body or other artistic elements of the advertisement such as pictures, colors, music, effects, and other elements used in the artistic construction of television advertising. All these artistic elements contribute to the completion of the advertising idea and make it ready to be displayed to the public.

Scientists and researchers, in the field of psychology, have relied a lot on this language (body language). And some of them put

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Publication Date
Sun Aug 30 2020
Journal Name
Journal Of Economics And Administrative Sciences
Financial Innovation as an Entrance to Sustainable Financing A Case Study of Islamic Banks in the State of Qatar (2014-2018)
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While the impact of the fourth Industrial Revolution on the economy keeps accelerating, the signs of the fifth industrial revolution, whose key is innovation and creativity started to evolve. However, the challenge of achieving sustainable development and its goals remains faced by the global organizations; In this situation, Islamic banks are exposed to many challenges among which is the challenge of keeping themselves abreast of the latest developments in the modern technology which in turn is a tool for continuity and competition. On the flip side, to avoid the negative impact that these changes can have such as an increased gap between financial innovations and the requirements of sustainable development. Islamic banks in the

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Publication Date
Tue Nov 16 2021
Journal Name
Eurasian Chemical Communications
The role of metalloendopeptidase (MEP) as a vital predictor of early diabetic nephropathy and its relationship to some other biochemical variables
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Metalloendo peptidase is a neutral endopeptidase that cleaves peptides at the amino side of hydrophobic residues and inactivates several peptide hormones, including atrial natriuretic factor, giucagon, enkephalin, substance p, neurotensin, oxytocin, and bradykinin. It is also a major enzyme for the degradation of beta-amyloid. This study aimed to measure enzyme activity and compare it with other biochemical changes in sera patients with diabetic nephropathy. The study included 35 pathological samples of people with diabetic nephropathy, 24 samples from males and 11 samples from females, as well as the same number of healthy people as a comparison group of 15 males, 20 females, with the ages of both groups of patients with diabetic nephropat

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Publication Date
Mon Jul 24 2023
Journal Name
Research Journal Of Pharmacy And Technology
Comparison of the effects of Methotrexate and Etanercept on RANKL and OPG as Bone Metabolism Biomarkers in patients with Rheumatoid Arthritis
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Rheumatoid arthritis is an autoimmune diseasecharacterized by chronic inflammationthat affects joints and cartilage. Bone complications such asRA-relatedosteoporosis are one of the most extra-articular manifestations. Many inflammatory mediators are released during RA disease pathophysiology; these mediators stimulate osteoclast genesis of bone by direct effects on RANKL and OPG. The study aimedto measure RANKL, OPG in RA patients treated with Etanercept only and other groups treated with Methotrexate onlyat baseline and after three months to evaluate bone state. An observational case-control prospective study was done on 30 RA patients who received MTX, 30 RA patients who received ETN, and 30 healthy,age-matched control groups. The

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Publication Date
Fri Jan 01 2021
Journal Name
Materials Today: Proceedings
Study the electronic and spectroscopic properties of ALxB7-XN7 Wurtzoids as a function of size and concentration using density functional theory
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Electronic properties including (bond length, energy gap, HOMO, LUMO and density of state) as well as spectroscopic properties such like infrared, Raman scattering, force constant, reduced mass and longitu- dinal optical mode as a function of frequency are based on size and concentration of the molecular and nanostructures of aluminum nitride ALN, boron nitride BN and AlxB7-XN7 as nanotubes has calculated using Ab –initio approximation method dependent on density functional theory and generalized gradient approximation. The geometrical structure are calculated by using Gauss view 05 as a complementary program. Shows the energy gap of ALN, BN and AlxB7-XN7 as a function of the total number of atoms , start from smallest molecule to reached

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Publication Date
Fri Jan 01 2021
Journal Name
Materials Today: Proceedings
Study the electronic and spectroscopic properties of ALxB7-XN7 Wurtzoids as a function of size and concentration using density functional theory
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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)
Study the Effect of Folic Acid as A supplement on Selected Oxidative Stress and Biochemical Parameters in First Trimester of Pregnancy
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Folic acid modulates several disorders in humans, pregnancy mostly because of the mitochondria-rich placenta, is a condition that favors oxidative stress.Transitional metals, especially iron, which are particularly abundant in the placenta, are important in the production of free radicals. Adenosine deaminase (ADA), an enzyme essential for the differentiation of lymphoid cells, has been used for monitoring diseases with altered immunity. In the present study we investigated the effect of regular and irregular administered folic acid in the first and second trimester of pregnancy to be compared with non-pregnant women ,and also the effect of regular and irregular using of folic acid  supplement on  oxidative stress parameters an

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Publication Date
Sat Dec 01 2018
Journal Name
Al-khwarizmi Engineering Journal
A study of Land Zoning in the base of Traffic Noise Pollution Levels using ArcGIS: Kirkuk City as a Case Study
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This study is an approach to assign the land area of  Kirkuk city [ a city located in the northern of Iraq, 236 kilometers north of  Baghdad  and 83 kilometers  south of  Erbil [ Climatic atlas of  Iraq, 1941-1970  ]  into different  multi zones by using Satellite image and Arc Map10.3,  zones of different traffic noise pollutions. Land zonings process like what achieved in this paper will help and of it’s of a high interest point for the future of Kirkuk city especially urban

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Publication Date
Mon Nov 19 2018
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Comparison Study of the Effect of Erlotinib as a Tyrosine Kinase Inhibitor on Electrolyte Levels in Type2 Diabetic and Diabetic Nephropathy
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Diabetes mellitus can be defined as  a metabolic disorder disease .Complication  of diabetes  are due to diabetic nephropathy .This study was done in vitro to study the effect of different concentrations of erlotinib inhibitor ( tyrosine kinase inhibitor) on electrolyte levels (Mg⁺²,Ca⁺²,Na⁺) in sera of Iraqi patients with  newly diagnosis type2 diabetes and diabetic nephropathy in addition to find the best percentage inhibition for utilizing different concentrations from erlotinib (6.97x10⁻⁷, 9.30x10⁻⁷ ,1.16x10⁻⁶,1.39x10⁻⁶ ,1.62x10⁻⁵ )molar  on electrolyte levels . This study was conducted in The National Diabetes Ce

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Publication Date
Mon Feb 15 2021
Journal Name
Systematic Review In Pharmacy
Colorimetric Determination Of Sitagliptin As An Oxidation Derivative Of Ninhydrin
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A sensitive and accurate colorimetric method was developed for the determination of the Sitagliptin phosphate monohydrate, here and after will be named Sitagliptin, in its pure and pharmaceutical form. The suggested approach is based on boosting the sensitivity of the traditional spectrometric methods by derivatizing Sitagliptin into a colored product that absorbs the visible spectrum at 573 nm. The proposed method has effectively improved the sensitivity and the limit of detection for the analysis of Sitagliptin. A linear calibration curve was obtained over the concentration range of 0.1-10 μg/ml with a correlation coefficient of 0.9983. The calculated recovery was within the range of 98.98–100.11%. While the limit of detection LOD and

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