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The operational matrices for Elliptic Partial Differential Equations with mixed boundary conditions
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Abstract<p>The purpose of this research is to implement the orthogonal polynomials associated with operational matrices to get the approximate solutions for solving two-dimensional elliptic partial differential equations (E-PDEs) with mixed boundary conditions. The orthogonal polynomials are based on the Standard polynomial (<italic>x<sup>i</sup> </italic>), Legendre, Chebyshev, Bernoulli, Boubaker, and Genocchi polynomials. This study focuses on constructing quick and precise analytic approximations using a simple, elegant, and potent technique based on an orthogonal polynomial representation of the solution as a double power series. Consequently, a linear partial differential equation is transformed into a linear algebraic system which is solved by the Mathematica®12. Approximate solutions can be found if the answers are polynomials in and of itself. Three applications involving well-known linear problems Laplace, Poisson, and Helmholtz equations have been solved by using the proposed methods, and a comparison of the approaches has been provided. Furthermore, the computation of the error norm <italic>L<sub>∞</sub> </italic> has been done to show the accuracy of the suggested approaches. The results clearly demonstrate how precise, efficient, and dependable the proposed methods are in obtaining rough solutions to the problem. Bernoulli was one of the best methods in most examples.</p>
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Publication Date
Mon Aug 05 2024
Journal Name
European Endodontic Journal
Assessment of Treatment Quality Risk Factors Influencing the Radiographic Detection of Apical Periodontitis in Root-Filled Teeth: A Retrospective CBCT Analysis
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Publication Date
Mon Feb 25 2019
Journal Name
Iraqi Journal Of Physics
The distance variation due to mass transfer and mass loss in (13.6+8) Mand (13+10) M binary star systems
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In this research the change in the distance of the two stars in two binary star systems (13.6+8)M8and (13+10)Mwas studied, through the calculations the value  (rate of mass transfer) of the two phases of dynamical stages of mass which are mass loss and mass transfer has been extracted in its own way ,by extracting the value of  the value of (the distance variation between the two stars) has been found only in the mass transfer stage by using mathematical model ,in mass loss stage  and   were calculated from the change and the difference between the values of each at different times of binary star system evolution ,it was found that  the maximum values of  and  are in ma

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Publication Date
Thu Jun 13 2019
Journal Name
Al–bahith Al–a'alami
Media coverage of the 2018 African Youth Games in its third edition in Algeria - An analytical study of Al-Nahar newspaper
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This research revolves around the study of sports press coverage to the third African Youth Games that took place in Algeria from 19 to 28 July 2018. The games featured approximately 3000 athletes from 54 countries who competed in 27 sports. Five sports were qualified for the Youth Olympic Games in Argentina. The aim of this study was to analyze the content of the Algerian newspaper Ennahar El-Djadid by focusing on the discussions of various sports activities during the event. Thus, the descriptive approach and content analysis method were adopted for this research. They were used to highlight the newspaper's interest in this sports phenomenon. The chosen study samples were ten issue numbers of Ennahar El-Djadid newspaper

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Publication Date
Sat Aug 30 2025
Journal Name
Iraqi Journal Of Science
The role of Matrix metalloproteinase (MMP-9) and its tissue inhibitor (TIMP1) in Cutaneous Leishmaniasis patients and their role in prognosis
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Cutaneous leishmaniasis (CL) is a widespread, yet often overlooked, parasitic disease caused by the Leishmania protozoan, which is prevalent in numerous countries, including Iraq. This condition is marked by the appearance of skin lesions on various exposed areas of the body. In most old-world regions, sodium stibogluconate (SSG) is the classical widely used drug to treat CL. The progression of skin ulceration is controlled by different inflammatory modulators including cytokines and enzymes. In this study, the possible role of the enzyme Matrix metalloproteinase9 (MMP-9) and its inhibitor Metallopeptidase inhibitor-1 (TIMP-1) as immunological markers was evaluated in CL patients suffering from cutaneous leishmaniasis before and aft

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Publication Date
Tue Jun 23 2020
Journal Name
Molecular Biology Reports
The correlation of combined OGG1, CYP1A1 and GSTP1 gene variants and risk of lung cancer of male Iraqi waterpipe tobacco smokers
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Genetic polymorphisms of genes whose products are responsible for activities, such as xenobiotic metabolism, mutagen detoxification and DNA-repair, have been predicted to be associated with the risk of developing lung cancer (LC). The association of LC with tobacco smoking has been extensively investigated, but no studies have focused on the Arab ethnic- ity. Previously, we examined the association between genetic polymorphisms among Phase I and Phase II metabolism genes and the risk of LC. Here, we extend the data by examining the correlation of OGG1 Ser326Cys combined with CYP1A1 (Ile462Val and MspI) and GSTP1 (Ile105Val and Ala103Val) polymorphisms with the risk of LC. Polymerase chain reaction- restriction fragment length polymorphism (

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Publication Date
Sun May 23 2021
Journal Name
Egyptian Journal Of Chemistry
Thermodynamic study of adsorption of a mixture of Nolvadex and nanoparticle ferric oxide that prepared on the surface of activated charcoal
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Publication Date
Sun Apr 17 2016
Journal Name
Al-academy
Semantic displacement of the crucifixion of Jesus Christ in contemporary painting: عبد الحمزة عبد الأمير الكلابي، حيدر عبد الأمير رشيد الخزعلي
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The search consists of four chapters, which are as follows: -First Chapter,The research shows the problem and the importance and its need, its aim and limits are to identify the terms of it consist. The problem of the research has been identified by answering the following question:How to representthe significant displacement of the Crucifixion of Jesus Christ in contemporary drawing? ,The aim of the research also has been discussed around what it represents: The significant displacement of the Crucifixion of Jesus Christ in contemporary drawingshows. As for the research limits .the portress which are taken from a variety of sources, and the period of time of the year (1945-2008).fearst chapter;The theoretical framework and previous stud

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Publication Date
Sun May 15 2022
Journal Name
Al-kindy College Medical Journal
Impact of Tobacco Use in the Etiology of Chronic Renal Failure Among Sudanese Patients: Tobacco and Renal Failure Among Sudanese Patients
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Background: Chronic renal failure (CRF) is a clinical syndrome that occurs when there is gradual decline in renal operation overtime.

Objective: This study aims to investigate the prevalence of depression among medical students at university of Baghdad, college of medicine in Iraq and the association between some variables and depression.

Aim: This study aimed to identify the impact of tobacco use in the etiology of chronic renal failure among Sudanese patients in Omdurman Military Hospital and Omdurman Kidney Dialysis Center

Materials and methods: This descriptive community-based study was conducted in Khartoum State. A random sample of 100 cases with chronic renal failure and 100

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Publication Date
Thu Oct 07 2021
Journal Name
College Of Islamic Sciences
Major sins (adultery, sodomy) and their impact on societal groups and their treatment from the point of view of Islamic law
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Abstract:

This research sheds light on the major sins (fornication and sodomy) as two crimes that are prohibited by the divine laws, including its conclusion by the Islamic Sharia. Major sins so that life and the universe are organized, and the individual lives a life of chastity and purity free of filth and filth. The Islamic message included a set of preventive measures and remedial methods that, if the ummah were to apply them, they would live a decent life full of noble goals.

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Publication Date
Thu Mar 30 2017
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
The Effect of Long Term use of Glibenclamide on Serum and Urinary Sodium and Potassium Level in Type 2 DM Patients
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         Long-term use of sulfonylureas including chlorpropamide, is known to potentiate the antidiuretic action of arginine vasopressin (AVP), predisposing to hyponatremia.The present study was designed to evaluate the effect of long term use of glibenclamide on serum and urinary levels of sodium and potassium in Type 2 DM patients in Iraqi DM centers. Ninety eight patients with Type 2 DM who were maintained on different doses of glibenclamide for at least 1 year, attending the centre for Diabetes and Endocrinology in Al-Rusafa, Baghdad, were enrolled in the study, in addition to 15 normal healthy subjects. Patients were allocated into three groups according to the dose of glibenc

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