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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
Sat Dec 02 2023
Journal Name
Journal Of Engineering
Discussion on the Structural Design Index and Design Method of Widening and Splicing Lane of Old Asphalt Pavement
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The splicing design of the existing road and the new road in the expansion project is an important part of the design work. Based on the analysis of the characteristics and the load effect of pavement structure on splicing, this paper points out that tensile crack or shear failure may occur at the splicing under the repeated action of the traffic load on the new/old pavement. According to the current structure design code of asphalt pavement in China, it is proposed that the horizontal tensile stress at the bottom of the splicing layer and the vertical shear stress at other layers of the splicing line should be controlled by adjusting the position and size of the excavated steps in addition to the conventional design ind

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Publication Date
Sat Oct 01 2022
Journal Name
Baghdad Science Journal
Modeling Jar Test Results Using Gene Expression to Determine the Optimal Alum Dose in Drinking Water Treatment Plants
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Coagulation is the most important process in drinking water treatment. Alum coagulant increases the aluminum residuals, which have been linked in many studies to Alzheimer's disease. Therefore, it is very important to use it with the very optimal dose. In this paper, four sets of experiments were done to determine the relationship between raw water characteristics: turbidity, pH, alkalinity, temperature, and optimum doses of alum [   .14 O] to form a mathematical equation that could replace the need for jar test experiments. The experiments were performed under different conditions and under different seasonal circumstances. The optimal dose in every set was determined, and used to build a gene expression model (GEP). The models were co

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Publication Date
Thu Mar 19 2015
Journal Name
Al-academy
Theatrical Visual System between the Cultural Identity and Globalization Culture Iraqi Theatre as Case Study: فرحان عمران موسى
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It seems that the features of the theatrical discourse , since its early establishment by the Greeks, were cultural features specifically confined to that society. Such features determined the direction of the theatrical discourse for this state instead of that state. There could be some sort of similarity among those features , nevertheless they remained within the general humanitarian framework . What achieved relatedness were those features and particularities that distinguished the theatrical community. Such features and particularities vary from one show to another. This is what we call " Local Specificity" .The Iraqi theatrical memory has always emphasized the concept of Experimentation through originality and renewal since the arr

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Publication Date
Sun Jan 01 2023
Journal Name
Aip Conference Proceedings
The efficiency of cluster analysis to analyzing medical image of Covid-19 patient by using K-means algorithm
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Publication Date
Mon Jun 23 2025
Journal Name
Journal Of Craniofacial Surgery
Gender Determination in Forensic Dentistry Using Bonwill’s Triangle Measurements From CBCT Scans: A Study on the Iraqi Population
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Background:

The purpose of this study is to illuminate the role of CBCT in forensic dentistry through variations of mandibular measurements of Bonwill’s triangles in gender determination among the Iraqi population.

Materials and methods:

In this retrospective study 70 CBCT scans were analyzed to measure the Bonwill’s triangle, 35 for males and 35 for females aged between 20 and 50 years, all data were collected at the oral and maxillofacial radiology department in Ghazi AL-Hariri hospital for 3 months, and the data were obtained using a Kavo CBCT device (3D On De

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Publication Date
Sun Nov 01 2020
Journal Name
Iop Conference Series: Materials Science And Engineering
NEW RECORD OF THE Genus Pullimosina Roháček, 1983 (DIPTERA, Sphaeroceridae) FROM KERBALA CITY, IRAQ, Study in Forensic Entomology
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Abstract<p>This study aims to know the types of insects belonging to the Sphaeroceridae family. During this study, one species registered for this family for the first time to Iraq (New genus and species). It is using two methods of killing are injurious machine (knife) and toxic substance (strychnine). Four areas within Karbala governorate studied and identified to know their spread and time of presence on the body during the stages of decomposition. During this experiment, the bodies of dogs used to identify types of insects attracted to the body during four seasons. The results indicated the presence of the species <italic>Pullimosina heteroneura</italic> (Haliday, 1836) in the firs</p> ... Show More
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Publication Date
Fri May 01 2015
Journal Name
Ieee Transactions On Microwave Theory And Techniques
On the Design of Gyroelectric Resonators and Circulators Using a Magnetically Biased 2-D Electron Gas (2-DEG)
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Publication Date
Sun Dec 22 2019
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
The Assessment of Some Serum Biomarkers of Fibromyalgia Syndrome in Pre and Postmenopausal Women in Relation to Obesity
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The objective of this study is to evaluate the level of parathyroid hormone, Co enzyme Q and total antioxidant status in serum’s women with fibromyalgia syndrome firstly, then to demonstrate if these biochemical markers affected by age and obesity.

      This study was performed at Rheumatology and Rehabilitation Consultation Unit in Baghdad Teaching Hospital. Venous blood sample were drawn from (59) female with FMS and (30) control (without FMS). The serum was obtained after on standing in order to coagulate then centrifuged. The mean age± SD of FMS group was (42.22±15.34) years and for control was (40.7±18.22) years. Those participants were subdivided into four different groups acc

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Publication Date
Thu Mar 14 2013
Journal Name
Journal Of Kerbala University 11 (3)‏
Effect of chemical fertilization and gibberellic acid on the contentofsomechemical compounds of Nepali and Khudairi cultivars of olive‏
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Publication Date
Tue Jun 01 2021
Journal Name
Journal Of The College Of Languages (jcl)
Translation Techniques In Reproducing The Semantics Of Russian Political Terms: Переводческие Приемы В Воспроизведении Семантики Русскоязычных Политических Терминов
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 Political terminology differs from any other type of terminology not only in the presence of political terminology, but also in content, structure, functions and the recipient who perceives it. Taking this into account, it is inappropriate to consider the semantic difficulties of translating Russian-language political terms solely at the semantic level. In our opinion, it is inextricably linked with the lexical, syntactic and grammatical levels. If we combine all 4 levels, then the following translation techniques can be distinguished: lexical borrowing (transcription / transliteration, tracing); modulation; generalization / concretization; omission / addition; descriptive translation; conversion [Komissarov 2013]. One of the most

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