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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
Sun Jan 01 2017
Journal Name
Journal Of The College Of Languages (jcl)
משבר הזהות במודרניזם של יהושע עיון בנובלה " שתיקה הולכת ונמשכת של משורר "* Identity crisis in modernity of Yahoshaa Study of “continuous silence of the poet"
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סיכום

   המשבר הוא מצב מצוי רב בחברת המדינות אחרי המלחמות  והשינויים הגדולים במאה העשרים, ומשבר הזהות הוא ממשברי המאה העשרים שזכה בהתעניינות רבה בכל תחומי המדעים האנושיים, ומהם תחום הספרות. ובספרות העברית היה הסופר א. ב. יהושע מהסופרים החשובים שהתעניין בנושא הזהות בישות הציונית, הוא התווכח בנושא ביצירותיו, ראיוניו ורוב הכנסים התרבותיים והפוליטיים שנכח אותם, הוא השתמש באסכולה ספרותית מאו

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Publication Date
Sun Jun 01 2014
Journal Name
Baghdad Science Journal
Using the molecular methods in detection of antibiotics resistance genes in bacteria of Typhoi (Salmonella typhi): Batool A. Shihab|Sahira Y. Rwayah|Ashna J. Faik
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This study was carried out for direct detection of typhi and some of its multidrug resistance genes(tem,capt,gyrA&sul2)which encode for resistance to (Ampicillin, Chloramphenicol,Ciprofioxacin,Co-trimoxazole)by using Polymerase Chain Reaction technique .(71)blood samples for people suffering from typhoid fever symptoms depending on the clinical examination and (25)for control were collected. The results investigation for flic gene which encode for flagellin protein indicated that only (19)with percentage of (26,76%)gave appositive results while all control had a negative ones. Investigation for antibiotic resistance drug in samples which show positive results for flic gene showed that there is a multidrug for all antibiotics with (94.7

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Publication Date
Tue Dec 23 2025
Journal Name
Journal Of Baghdad College Of Dentistry
Effects of time delay and tension system application after final flask closure on the vertical displacement of acrylic and porcelain teeth in maxillary complete dentures
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Background: The displacement of artificial teeth during complete denture construction presents major processing errors in the occlusal vertical dimension which were verified at the previous trial denture stage. The aim of this study was to assess the effect of delay in processing after final flask closure and tension application on the vertical acrylic and porcelain teeth displacement of complete dentures constructed from heat cured acrylic and the results were compared with the conventional processing method. Materials and methods: forty samples of identical maxillary complete dentures were constructed from heat polymerized acrylic resin. These samples were subdivided into the following experimental subgroups in which each subgroup contai

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Publication Date
Tue Dec 23 2025
Journal Name
Journal Of Baghdad College Of Dentistry
Assessment of dental implant stability during healing period and determination of the factors that affect implant stability by means of resonance frequency analysis(Clinical study)
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Background: Implant stability is considered one of the most important factors affecting healing and successful osseointegration of dental implants. The aims of the study were to measure the implant stability quotient (ISQ) values during the healing period and to determine the factors that affect implant stability. Materials and methods: Thirty patients enrolled in the study (17 female, 13 male). They received 44 Implantium® Dental Implants located as the following: 22 implants in maxillary jaw, 22 implants in mandibular jaw from them 17 implants in anterior segment and 27 in posterior segment. The bone density determined using interactive CT scan and classified according to the Misch bone density classification (29 implants in (D3), 15 i

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Publication Date
Fri Jan 31 2020
Journal Name
Indian Journal Of Forensic Medicine & Toxicology
A comparative study to evaluate the effect of ultrasonic agitation on push-out bond strength of three root-end filling materials: An in vitro study
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Aim: To evaluate the effect of ultrasonic agitation for retrograde biodceramic root repair, MTA and biodentine filling materials on push-out bond strength to dentine walls. Materials and Methods: Ninety extracted human teeth with single straight roots were selected randomly. After disinfection and cleaning, the coronal portions were sectioned to standardize the root canal length at 15mm. following root canal shaping, obturation and apical roots resection, retrograde cavities were prepared. Teeth were categorized depending on the filling material used into three groups, 30 teeth each. Group A filled with bioceramic root repair material, B with MTA and C with Biodentine material. These groups were divided in to three subgroup (n= 10). Subgrou

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Publication Date
Thu Jan 02 2020
Journal Name
Journal Of The College Of Languages (jcl)
Prepositions in the System of Analytical Unites of Modern Russian Language: Functional - Semantic Aspects: Отыменные предлоги В системе аналитических единиц русского языка: функционально-семантический аспект
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The present study deals with prepositions in the patterns of analytical unite of modern Russian language out of the functional -semantic aspects, which enhances the lexical semantics.  The study, also, sheds light on the prepositions of semantic derivation that adds value to the meaning of the unites, promotes the appearance of new forms that match the more important diverse complex analytical unit.

В статье рассмотрены отыменные предлоги в системе литических единиц русского языка с позиций функционального и семантического аспектов. Репрезентирована специфика функциониров

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Publication Date
Tue Dec 23 2025
Journal Name
Modern Sport
Job commitment and its relation to the behavior of citizenship in physical education teachers Directorate of Education Baghdad AL- Karkh THird Search submitted by Research
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Publication Date
Mon Jun 28 2021
Journal Name
Journal Of The College Of Education For Women
The Developmental Role of Social Work in Reducing Social Extremism:A Field Study in Baghdad University-College of Mass Communication as a Model: محمد حميد علوان
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This study deals with the role that social work profession plays in all its fields to reduce social extremismat home, or school or within society. The study aims to: examine the historical roots of social work in the Iraqi society, investigate the objectives of the developmental role of social work, review the theories of social extremism, its characteristics, and causes, and to analyze the developmental role of social work to limit social extremism. To meet the objectives of the study, a descriptive analytical approach has been adopted. It involves using the social sampling survey method, i.e., a questionnaire tool in the University of Baghdad community-College of Media. The sample was randomly selected to include (100) students from th

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Publication Date
Thu Jun 29 2017
Journal Name
College Of Islamic Sciences
Opinions of Abu Bakr Muhammad bin Al-Fadl Al-Bukhari Al-Hanafi (d. 381 AH): In acts of worship: the books of fasting and Hajj
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In The Name of Allah Most Gracious Most Merciful

Scholars, past and present, have paid attention to the books of Fasting and Hajj, and they have compiled literature on that, and they have written treatises and researches. The best days, and as for the pilgrimage, it is one of the great pillars of Islam, which God Almighty has distinguished by making its rituals in the best of places, which is the Sacred House of God.

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Publication Date
Wed Nov 07 2018
Journal Name
Asian Journal Of Pharmaceutical And Clinical Research
INVESTIGATING THE EFFECT OF DIFFERENT GRADES AND CONCENTRATIONS OF PH‑SENSITIVE POLYMER ON PREPARATION AND CHARACTERIZATION OF LIDOCAINE HYDROCHLORIDE AS IN SITU GEL BUCCAL SPRAY
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Objective: The present study was aimed to develop a pH-triggered in situ gel for local release of lidocaine hydrochloride (lidocaine HCL) in the buccal cavity to improve the anesthetic effect of this amino amide drug which has very high water solubility. The formulations were introduced to the oral cavity as a spray to improve compliance and for easier administration.Methods: In this work, two grades of carbopol (934 and 940)-based in situ gel spray were designed. The formulations containing lidocaine HCl 5% were prepared by mixing different concentrations of carbopol with xanthan gum. Eight formulations were investigated and evaluated for gelation capacity, spray angle, volume of solution delivered per each actuation, rheological p

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