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Gaussian Integer Solutions of the Diophantine Equation x^4+y^4=z^3 for x≠ y
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The investigation of determining solutions for the Diophantine equation  over the Gaussian integer ring for the specific case of  is discussed. The discussion includes various preliminary results later used to build the resolvent theory of the Diophantine equation studied. Our findings show the existence of infinitely many solutions. Since the analytical method used here is based on simple algebraic properties, it can be easily generalized to study the behavior and the conditions for the existence of solutions to other Diophantine equations, allowing a deeper understanding, even when no general solution is known.

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Publication Date
Thu Nov 02 2023
Journal Name
Al-rafidain Journal Of Medical Sciences ( Issn 2789-3219 )
Role of Human β-Defensin-3 in Rheumatoid Arthritis: An Observational Single-Center Study
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Background: It's believed that HBD-3 is involved in the tissue remodeling process of articular cartilage. Also, HBD-3 has anti-inflammatory properties. Objectives: The purpose of this study is to assay human beta-defensine-3 (HBD-3) in serum from rheumatoid arthritis (RA) patients and investigate its correlation with proinflammatory cytokines. Methods: In this case-control study, fifty-eight RA patients were aged 20–65 years, and 29 age-matched healthy subjects (HS) had no inflammatory rheumatic diseases. The disease activity score-28 joint erythrocyte sedimentation rate (DAS28-ESR) was used to measure RA activity. CRP, ACPA, HBD-3, TNF-α, and IL-1β were assessed using the enzyme-linked immunosorbent assay technique (ELISA). Res

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Publication Date
Wed May 28 2025
Journal Name
Oxidation Communications
ESTIMATION OF GALECTIN-3 IN TYPE-2 DIABETIC PATIENTS AFTER VACCINATED AGAINST COVID-19"
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The rapid spread of the COVID-19 coronavirus in 2019 infected many people, primarily affecting the respiratory system. Both COVID-19 and type 2 diabetes have been associated with numerous risks that have become life-threatening. The study studied the link between galectin levels and some clinical characteristics in Iraqis with type 2 diabetes and COVID-19 against those without diabetes. The study included 120 patients and healthy men. Three groups were formed for this study depending on the initial mutant cell line: 80 samples of individuals with type 2 diabetes, aged 40–60 years, with and without COVID-19, were included in each of the first and second groups. The control group consisted of 40 research participants who were matched for ag

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Publication Date
Thu Jan 03 2019
Journal Name
Journal Of Global Pharma Technology
Antibacterial Activity of New Synthesized Derivatives 3-Substituted Imidazo Benzothiazole from 2- amino- benzothiazole
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Publication Date
Wed Apr 15 2026
Journal Name
Al-rafidain Journal Of Medical Sciences ( Issn 2789-3219 )
Modulating Effects of Fimasartan and Omega-3 on Cisplatin-Induced Testicular Toxicity in Rats
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Background: Cisplatin is a widely used antineoplastic drug in different types of cancers (ovarian, testicular, and hematological) with several types of adverse effects, including testicular toxicity. Fimasartan is a newer angiotensin-receptor blocker (ARB) that has antioxidant and anti-inflammatory properties. Omega-3 is an unsaturated fatty acid that has antioxidant and anti-inflammatory effects. Objective: to evaluate the protective effects of fimasartan alone or in combination with omega-3 against cisplatin-induced testicular toxicity. Methods: Thirty Wistar rats were divided into five groups: control group, cisplatin-treated group, fimasartan+cisplatin group, fimasartan+omega-3+cisplatin group, and omega-3+cisplatin group. Trea

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Publication Date
Mon Jun 21 2021
Journal Name
International Medical Journal
Immediate and Delay Antimicrobial Activity of Three Disinfection Solutions on Gutta-Percha Cones as Routine Chair-Side Procedure
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Objective: The antimicrobial efficacy of three disinfection solutions: 5.25% sodium hypochlorite (NaOCl), 2% chlorhexidine (CHX) and Listerine mouthwash were investigated as routine chair-side gutta-percha (GP) disinfection reagents. Design: four groups of gutta percha points were contaminated with E. faecalis bacteria then disinfected by immersion in different solutions (5.25% sodium hypochlorite, 2% chlorhexidine gluconate, Listerine mouth wash and distilled water as control) after 1 and 7 days culturing periods. The antibacterial efficacy of these disinfection solutions was evaluated by using colonies per units (CPU) Methods: Forty GP cones (F3 Dentsply) were sterilized with ethylene oxide gas before immersed contamination within broth m

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Publication Date
Fri Feb 25 2022
Journal Name
Heat And Mass Transfer
Optimization, equilibrium, kinetics and thermodynamic study of congo red dye adsorption from aqueous solutions using iraqi porcelanite rocks
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Publication Date
Sun Feb 10 2019
Journal Name
Journal Of The College Of Education For Women
دور اﻟﺘﻐﺬﯾﺔ ﻓﻲ ﻣﺮﺣﻠﺔ اﻟﻄﻔﻮﻟﺔ اﻟﻤﺒﻜﺮة (3- 5 سنوات ( وبعض المتغيرات ودورها في اصابة الاطفال بتسوس الاسنان
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Teeth decay is one of the distinctive diseases which infects the children of generation .though it is not adeacly disease, it leads to huge problems , especially if it is infect children in their early childhood .There are many factors which lead to this disease , and to achieve the goal of this research in trying to stop the most important nutrition factors and others reasons that have relation with this disease .The practical application has been done for four months on children , who have been chosen randomly of the age ( 3-5 years) of both sexes , infected with teeth decay , from Baghdad city ( al karkh and al rusafa ) , the number of children reached to 90 child , divided into tow groups 45 male , and( 45 )female .Again they have be

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Publication Date
Tue Feb 13 2018
Journal Name
Chemistry Central Journal
Effect of crosslinking concentration on properties of 3-(trimethoxysilyl) propyl methacrylate/N-vinyl pyrrolidone gels
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Publication Date
Mon Dec 23 2019
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
Effects of Omega-3 Co-Administered with Therapeutic Dose of lornoxicam on Male Rats' Liver
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The purpose of this study was to investigate the effect of omega-3 poly unsaturated fatty-acids co-administered with the therapeutic dose of lornoxicam on liver of healthy rats. Twenty-eight adults male rats weighing 180-200g were used in this study and the animals were randomly divided into four groups of seven rats each. Group I: negative control/rats intraperitoneally injected with normal saline in a dose 5ml/kg/day; Group II: rats intraperitoneally injected with lornoxicam at dose 0.7 mg/kg/day; Group III: rats orally-administered omega-3 only at a dose 185mg/kg/day; Group IV: rats co-administered omega-3 (185mg/kg/day) orally and in

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Publication Date
Mon Aug 22 2016
Journal Name
Journal Of Natural Sciences Research
In Vitro Cytotoxic Effect of Aqueous Extract of Origanum Marjoram on AMN-3 Cell Line
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