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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 Dec 28 2020
Journal Name
Journal Of The College Of Education For Women
The Conflict of Active Regional and International Powers over Nagorny Karabakh Region: وداد حسين خضير علي , و مهيمن عبد الحليم طه الوادي
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      The current study is descriptive; it focuses on studying the contemporary geopolitical problem, and sectarian differences in Caucasus. Nagorno-Karabakh is considered an important disputed region nowadays. Many parties and states participated in this dispute, especially after the conflict had developed into an open war between Armenia and Azerbaijan. Thus, the study aims to examine the causes of the conflict in this region, analyze the international positions on this conflict, and find if Armenia was able to occupy this region. The methodology adopted by the researchers is the functional approach, and the theory of power analysis that Cohen created for analyzing all strengths that drove each of the parties t

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Publication Date
Sat Jun 30 2018
Journal Name
College Of Islamic Sciences
Biography Judge Faqih Abu Bakr al-Ansari and its impact on the notation Hadiths (36 AH - 120 AH / 657 AD - 738 AD)
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Followers and their followers (may Allah be pleased with them all) followed the approach of the guidance and the Sunnah of the Messenger of Allah Muhammad (peace be upon him) in the collection and codification of the hadith of the Prophet Muhammad in various Arab and Islamic areas. Subsequent judge Faqih Abu Bakr al-Ansari had a distinct effect during that time immortalized in the pages of our Islamic history in preserving the Sunnah of our great Prophet Muhammad (PBUH) and documenting the constants of Sharia and Islamic jurisprudence and its importance in the activity of intellectual and scientific movement in the Arab Islamic State.

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Publication Date
Fri Jul 01 2022
Journal Name
Iranian Journal Of Neonatology
Maternal Risk Factors and Outcomes of Premature Neonates Admitted to the Neonatal Care Unit in AlElwiya Pediatric Teaching Hospital in Baghdad, Iraq
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Background: Prematurity and its complications are the major causes of neonatal and infant morbidity and mortality. Although the cause of preterm labor is often unknown, numerous etiological risk factors may be implicated. To identify the risk factors that lead to prematurity and assess the neonatal outcomes that preterm neonates may develop. Methods: This case-control study was conducted at AL-Elwiya Pediatric Teaching Hospital, Baghdad, Iraq, from the 1st of June to the 31st of December 2019. A non-randomized sample of 700 neonates admitted to the neonatal care unit was included in this study and divided into two groups of preterm full-term neonates as the experimental and control groups, respectively (n=350 each). The same questionnaire w

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Publication Date
Sat May 30 2026
Journal Name
Journal Of Baghdad College Of Dentistry
Oral health status, dental knowledge and behaviors among children and adolescents (8-15) years old in the cities of Baghdad and Thamar
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Background: Investigating dental health knowledge among children is important. Knowing what behaviors are right in relation to dental health does not guarantee that children will practice those behaviors. However, lack of knowledge and misconceptions about dental health may lead to behaviors that are harmful to teeth and gum. Baseline data on knowledge levels are required to determine which particular areas of dental health education are in need of improvement for high-risk children living in different geographical areas. This research was conducted to study the oral health status, dental knowledge and behavior in relation to two different cities, among children in Baghdad and Thamar (republic of Yemen) governorate. Materia

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Publication Date
Mon Aug 22 2022
Journal Name
World Bulletin Of Management And Law
THE IMPACT OF OUTSOURCING OF HUMAN RESOURCE ACTIVITIES ON ORGANIZATIONAL WINNING(FIELD RESEARCH IN A SAMPLE OF PREMIUM CLASS HOTELS -IN IRAQ)
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The aim of the research is to test the effect of outsourcing human resources activities (independent variable) with its dimensions (outsourcing of staffing, outsourcing of training and development, outsourcing of wages and compensation, outsourcing of human resources information systems) on organizational winning (dependent variable) with its dimensions (the culture of winning, successful organizational change, continuous improvement, and adoption of risk). The research problem was the questions posed by the researcher, the most important of which is the extent to which the research sample realizes the importance of applying outsourcing to human resources activities and its role in organizational vi

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Publication Date
Sat May 30 2026
Journal Name
Journal Of Physical Education
The Effect of Electric Stimulation Using Proposed Apparatus on Static Balance Through Hamstring Muscle Rehabilitating in Athletes Suffering from Mild Muscle Tear
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Publication Date
Thu Aug 01 2024
Journal Name
The American Journal Of Management And Economics Innovations
THE ROLE OF ECONOMIC DATA ANALYSIS IN MANAGING MEDIUM AND SMALL COMPANIES TO MAKE STRATEGIC DECISIONS AND IMPROVE PERFORMANCE: AN ANALYTICAL STUDY
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Economic analysis plays a pivotal role in managerial decision-making processes. This analysis is predicated on deeply understanding economic forces and market factors influencing corporate strategies and decisions. This paper delves into the role of economic data analysis in managing small and medium-sized enterprises (SMEs) to make strategic decisions and enhance performance. The study underscores the significance of this approach and its impact on corporate outcomes. The research analyzes annual reports from three companies: Al-Mahfaza for Mobile and Internet Financial Payment and Settlement Services Company Limited, Al-Arab for Electronic Payment Company, and Iraq Electronic Gateway for Financial Services Company. The paper concl

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Publication Date
Thu Sep 15 2022
Journal Name
Journal Of Baghdad College Of Dentistry
The push out bond strength of bioceramic seal-er(Total Fill) after warm and cold obturation tech-niques An in vitro comparative
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Background: The goal of a root canal treatment is three dimensional obturation with a complete seal of the root canal system. The aim of this study was to evaluate and compare the effect of two warm obturation techniques, warm vertical compaction (WVC) and, carrier based obturation technique Gutta Core (GC), versus two cold obturation techniques, cold lateral compaction (CLC) and, single cone (SC) on push-out bond strength of bioceramic sealer (Total Fill) at three different root levels. Materials and Methods: Forty extracted maxillary first molars teeth with a straight round palatal root canal and mature apices were selected for this study. After sectioning the palatal roots to 11 mm from the root apex, the canals were prepared wit

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Publication Date
Thu Sep 15 2022
Journal Name
Journal Of Baghdad College Of Dentistry
The push out bond strength of bioceramic seal-er(Total Fill) after warm and cold obturation tech-niques An in vitro comparative
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Background: The goal of a root canal treatment is three dimensional obturation with a complete seal of the root canal system. The aim of this study was to evaluate and compare the effect of two warm obturation techniques, warm vertical compaction (WVC) and, carrier based obturation technique Gutta Core (GC), versus two cold obturation techniques, cold lateral compaction (CLC) and, single cone (SC) on push-out bond strength of bioceramic sealer (Total Fill) at three different root levels. Materials and Methods: Forty extracted maxillary first molars teeth with a straight round palatal root canal and mature apices were selected for this study. After sectioning the palatal roots to 11 mm from the root apex, the canals were

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Publication Date
Mon May 11 2020
Journal Name
Baghdad Science Journal
A Theoretical Investigation on Chemical Bonding of the Bridged Hydride Triruthenium Cluster: [Ru3 (μ-H)( μ3-κ2-Hamphox-N,N)(CO)9]
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Ruthenium-Ruthenium and Ruthenium–ligand interactions in the triruthenium "[Ru3(μ-H)(μ3-κ2-Hamphox-N,N)(CO)9]" cluster are studied at DFT level of theory. The topological indices are evaluated in term of QTAIM (quantum theory of atoms in molecule). The computed topological parameters are in agreement with related transition metal complexes documented in the research papers. The QTAIM analysis of the bridged core part, i.e., Ru3H, analysis shows that there is no bond path and bond critical point (chemical bonding) between Ru(2) and Ru(3). Nevertheless, a non-negligible delocalization index for this non-bonding interaction is calculated

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