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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 Jan 30 2021
Journal Name
مجلة الجامعة العراقية
Organizational Sources of Burnout and determinants of work Performance in light of the COVID-19 Pandemic: a field study of a Sample of Workers in Social Protection Agencies in Iraq)
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The problem of job burnout has become one of the main problems for researchers in social welfare organizations (social protection bodies) - one of the formations of the Ministry of Labor and Social Affairs. Its negative effects increased in light of the COVID-19 pandemic, and in light of the Corona pandemic, the pressures and burdens of workers varied, which resulted in high rates of anxiety, tension, and intellectual and physical exhaustion, and then negatively affected their efficiency in performing work at the individual and organizational level, especially after the increasing tasks of these Bodies in carrying out their role in achieving the general goals and objectives as beingThe general goals are that they are responsible for providi

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Publication Date
Sun Apr 01 2012
Journal Name
2012 International Conference On Future Communication Networks
Efficient method to find the multiplicative inverse in GF (2&lt;sup&gt;m&lt;/sup&gt;) using FPGA by exponentiation to (2&lt;sup&gt;k&lt;/sup&gt;)
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Publication Date
Fri Jun 01 2018
Journal Name
Journal Of The College Of Languages (jcl)
L’imaginaire de l’épidémie dans La Peste d’Albert Camus et Le Choléra de Nazik al-Malaika The Imagination of Epidemic in Alber Kamo's Novel " Plague" and Nazik Al-Malaekah's poem "Cholera"
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The present study deals with the story of Epidemic in two literary works issued in the same year (1947). One of them is a novel titled "Plague" written by the French writer Alber Kamo, the second is a poem of the Iraqi poetess Nazik Al-Malaekah. The research reflects a contrastive study of the war vision in the two works as both writers used science to serve literature by using Epidemic as a metaphor to refer to the dangers that the societies faced.

The problem of the present research lies in answering the question about the reason that makes the two writers use metaphor while narrating the issues of the society instead of mentioning them directly and illuminate what implications do the narrative style of Epidemic story have and

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Publication Date
Fri Oct 02 2026
Journal Name
Journal Of Baghdad College Of Dentistry
The Effect of AcceleDent® Device on Both Gingival Health Condition and Levels of Salivary Interleukin-1-βeta and Tumor Necrosis Factors-Alpha in Patients under Fixed Orthodontic Treatment
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Background: Orthodontic tooth movement is characterized by tissue reactions, which consist of an inflammatory response in periodontal ligament and followed by bone remodeling in the periodontium depending on the forces applied. These processes trigger the secretion of various proteins and enzymes into the saliva.The purpose of this study was to evaluate the activity of alkaline phosphatase (ALP) in saliva during orthodontic tooth movement using different magnitude of continuous orthodontic forces. Materials and Methods: Thirty orthodontic patients (12 males and 18 females) aged 17-23 years with class II division I malocclusion all requiring bilateral maxillary first premolar extractions were randomly divided into three groups according to t

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Publication Date
Sun Jan 02 2022
Journal Name
Journal Of The College Of Languages (jcl)
Word-Formation System And Its Influence On The Translation Of New Vocabulary In Russian And Arabic: Словообразовательная Система И Ее Влияние На Перевод Новой Лексики В Русском И Арабском Языках
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Derivational word formation process is one of the most substantial linguistic procedures that solves many problems in the translation of the language new vocabulary and helps to comprehend the smallest language component that not simply semantically and structurally explain the elements  of both Russian and Arabic but also enables translators to comprehend the derivational method procedures of both languages. It also reveals the structural aspects of translation equivalences, cognitive and semantic foundations of translation. The rapid development of languages and the appearance of a new vocabulary like ṭabaʿa "print → ṭābiʿat "printer", kataba "to write" → kātib → kātibat, rafaʿa "to raise" → rāfiʿat "a crane" d

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Publication Date
Sun Apr 01 2012
Journal Name
2012 International Conference On Future Communication Networks
Efficient method to find the multiplicative inverse in GF (2&lt;sup&gt;m&lt;/sup&gt;) using FPGA by exponentiation to (2&lt;sup&gt;k&lt;/sup&gt;)
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Multiplicative inverse in GF (2 m ) is a complex step in some important application such as Elliptic Curve Cryptography (ECC) and other applications. It operates by multiplying and squaring operation depending on the number of bits (m) in the field GF (2 m ). In this paper, a fast method is suggested to find inversion in GF (2 m ) using FPGA by reducing the number of multiplication operations in the Fermat's Theorem and transferring the squaring into a fast method to find exponentiation to (2 k ). In the proposed algorithm, the multiplicative inverse in GF(2 m ) is achieved by number of multiplications depending on log 2 (m) and each exponentiation is operates in a single clock cycle by generating a reduction matrix for high power of two ex

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Publication Date
Thu Jan 16 2025
Journal Name
Journal Of Biological Control
Toxicity of polymeric nanocapsules prepared from &lt;i&gt;Moringa oleifera&lt;/i&gt; leaf extract against the larvae of &lt;i&gt;Culex pipiens&lt;/i&gt; (Diptera: Culicidae)
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The study aimed to prepare a nanocapsules formulation from the acetonic extract of Moringa oleifera leaves, using polymeric capsules, and test its toxicity against the third instar larvae of Culex pipiens mosquitoes. The leaf extract was prepared using acetone as a solvent, and the nano polymeric capsules were prepared using the synthetic polymer polyethylene glycol 4000. The results showed the successful preparation of nano polymeric capsules from the leaf extract, with an average particle size of 259.2 nm, and a nanocapsule diameter of 263.83 nm, as determined by DLS and SEM analysis, respectively. The toxicity results indicated that the nano polymeric capsules of the leaf extract exhibited higher mortality rates, reaching 97.6% a

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Publication Date
Thu Apr 30 2026
Journal Name
International Journal Of Design &amp; Nature And Ecodynamics
The Health Impact of Workers' Exposure to Particulate Matter (PM2.5, PM10) and Gaseous Pollutants (CO2, CO, NO2, SO2) Emitted from Barbecue Grills in Some Restaurants in Al-Rusafa District/Baghdad
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This study aimed to evaluate the health effects of exposure to particulate matter (PM2.5 and PM10) and gaseous pollutants, including carbon dioxide (CO2), carbon monoxide (CO), nitrogen dioxide (NO2), and sulfur dioxide (SO2), on the hematological parameters of workers exposed to charcoal grilling emissions in restaurants. Air pollutant concentrations were measured in six barbecue restaurants located in Al-Rusafa District, Baghdad, during December 2024 and January 2025. Nine measurements were recorded monthly during morning and evening peak cooking periods. Blood samples were collected from two groups: grilling workers exposed directly to charcoal smoke (n = 30) and customers from dining areas as the control group (n = 30). Hematological an

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Publication Date
Mon Jul 18 2022
Journal Name
Bmc Public Health
Children’s rates of COVID-19 vaccination as reported by parents, vaccine hesitancy, and determinants of COVID-19 vaccine uptake among children: a multi-country study from the Eastern Mediterranean Region
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Abstract<sec> <title>Background

Huge efforts are being made to control the spread and impacts of the coronavirus pandemic using vaccines. However, willingness to be vaccinated depends on factors beyond the availability of vaccines. The aim of this study was three-folded: to assess children’s rates of COVID-19 Vaccination as reported by parents, to explore parents’ attitudes towards children’s COVID-19 vaccination, and to examine the factors associated with parents’ hesitancy towards children’s vaccination in several countries in the Eastern Mediterranean Region (EMR).

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Publication Date
Mon Sep 01 2025
Journal Name
Materials Today Chemistry
Corrigendum to ‘Revisiting the role of [BMIm]Cl ionic liquid in carboxymethyl cellulose-based polymer electrolytes: Insights from experimental and density functional theory modeling’ [Mater. Today Chem., 47 (2025), 102821]
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Lithium-based rechargeable batteries (LbRBs) are essential for applications in vehicles, wearable electronics, and large-scale energy storage due to their high energy density. However, safety concerns associated with flammable organic electrolytes hinder further development. Advancing Li-ion battery technology requires improved conductivity, energy density, and safety, particularly in the development of all-solid-state lithium-ion batteries (ASSLiBs). This work explores carboxymethyl cellulose (CMC)-based solid polymer electrolytes (SPEs) as sustainable alternatives for lithium-ion batteries. The synergistic effects of 1-butyl-3-methyl imidazolium chloride ([BMIm]Cl) ionic liquid, as a plasticizer, and lithium acetate (LiCH3COO) enhance the

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