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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
Fri Sep 30 2022
Journal Name
College Of Islamic Sciences
Sfaxi's guidance to alqira'at in "Ghaith al-Nafe fi alqira'at alsabe" From Surat Al-An'am to the end of Surat Hud
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The research deals with the collection of Allamah Ali al-Nuri’s guidance on readings, which he included in his book (Ghaith al-Naf’ fi al-Qira’at al-Sabe) and singled out it in a separate study, commenting on what needs to be commented and a statement of his guidance, and it consists of an introduction, and three chapters, the first: for the translation of Allamah Sfaxi, and the second: To define the science of guidance, its origins and authorship, and the third: to mention the readings that Al-Safaqi drew from Surat Al-An’am to the end of Surat Hud, followed by the conclusion of the research, then the index of sources and references, and I followed the inductive-analytical method in the research.

Among his most important

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Publication Date
Mon Mar 13 2017
Journal Name
Journal Of Baghdad College Of Dentistry
Effect of Different Fluoride Agents on the Load Deflection Characteristics of Heat Activated Nickel Titanium Arch Wires (An in Vitro Study)
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ABSTRACT Background:Hydrogen absorption and related degradation in the mechanical properties of Ni-Ti based orthodontic wires has been demonstrated following exposure to fluoride prophylactic agents. This study was designed to investigate the effects of three fluoride containing agents on the load deflection characteristics of heat activated nickel titanium arch wires during unloading phase. Material and method: Eighty specimens of heat activated nickel titanium arch wires were obtained from Ortho Technology Company, half of which had a 0.016 inch round and 0.019x0.025 rectangular. Ten specimens from both wire size were immersed in one of the tested fluoride prophylactic agents (neutral sodium fluoride gel, stannous fluoride gel or phos-flu

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Publication Date
Sat Nov 15 2025
Journal Name
Al–bahith Al–a'alami
THE IDEOLOGY OF UNIVERSITY STUDENTS TOWARDS POLITICAL DISCOURSE IN SATELLITE CHANNELS: A field study on media students at Al-Mustansiriya University))
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‏The speech delivered by political blocs and parties and broadcasted by satellite channels, social and communication media has different ideologies and orientations: moderate speech calling for calm or one raising crises.‏The latter is considered very challenging due to its local and international reference.‏, this paper aims at uncovering these challenges especially during the political crisis witnessed in Iraq. This paper sheds light on the most important crisis that spread in public opinion, broadcasted by satellite, and raised by politicians who are competing to gain authority leading to a lack of peoples, confidence in them.‏This matter should not be neglected at all; e

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Publication Date
Fri Nov 01 2019
Journal Name
Iop Conference Series: Earth And Environmental Science
The Role of Sewage Irrigation Management in Water Productivity, Growth and Yield Parameters of Broccoli in Al-Sulaimani government/Kurdistan region
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Abstract<p>The objective of the present work was to estimate water requirements and water use efficiency for Broccoli under normal irrigation conditions and sewage irrigation. Field experiment was carried out during the season 2018 at station/Sulaimni agricultural station/Bakrajo –College of Agricultural Sciences. The experiment included three treatments: River water irrigation in all season growth (I<sub>1</sub>), Sewage water irrigation in all season growth (I<sub>2</sub>), Alternate irrigation (one river irrigation followed by two sewage water irrigation) in all season growth (I<sub>3</sub>). The experimental Design was Randomized Complete Block Design (RCBD) w</p> ... Show More
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Publication Date
Sat Nov 15 2025
Journal Name
Al–bahith Al–a'alami
Employment of Body Language in Television Advertising An Analytical Study of Al-Hayat TV Commercials (The Egyptian Series as a Model)
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Whatever the designers of the advertisement in choosing the text and spoken phrases, those phrases cannot give or convey the full meaning to the recipient only if this spoken and written language is reinforced with another language based on the signals, movements, and symbols that are displayed using the body or other artistic elements of the advertisement such as pictures, colors, music, effects, and other elements used in the artistic construction of television advertising. All these artistic elements contribute to the completion of the advertising idea and make it ready to be displayed to the public.

Scientists and researchers, in the field of psychology, have relied a lot on this language (body language). And some of them put

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Publication Date
Thu Oct 25 2018
Journal Name
Journal Of Economics And Administrative Sciences
Find the fuzzy maximum flow of Imam Kadhimen visitors using fuzzy dynamic programming University of Baghdad - Faculty of Administration and Economics
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    Baghdad and the other Iraqis provinces have witnessed many   of celebrations which have the significant effect on the souls of Arabic and Islamic people in general , and Iraqi people, especially the birthday and death of two al-kadhimen Imams(peace upon them) and others .From here the researcher begin to study the visiting of imam kadhimen (peace upon him) on 25 Rajab the commemoration of his sacrifice, simply because have implications of religious, ideological and cultural sectors which represents in finding the greatest flow of visitors .the problem of research appeared due to the clear difference in number of visitors during one day, beside the significant increase in number of visitors  throu

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Publication Date
Fri Dec 31 2021
Journal Name
Dental And Medical Problems
Effect of the local application of bupivacaine in early pain control following impacted mandibular third molar surgery: A randomized controlled study
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Background: Postoperative pain is one of the main complications following impacted mandibular third molar (IMTM) surgery. Objectives: The aim of this study was to assess the effect of the local application of bupivacaine on reducing early postoperative pain following IMTM surgery. Material and methods: A prospective, single-blinded, randomized controlled study was conducted on 40 patients who had undergone the surgical removal of an IMTM under local anesthesia. In the study group (n = 20), absorbable gelatin sponge (AGS) soaked in 3 mL of 0.5% plain bupivacaine hydrochloride was locally applied in the post-extraction socket. In the control group (n = 20), AGS soaked in 3 mL of normal saline was used. Pain intensity was assessed using a pa

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Publication Date
Sat Jan 01 2022
Journal Name
Journal Of Energy Storage
Effects of non-uniform fin arrangement and size on the thermal response of a vertical latent heat triple-tube heat exchanger
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Publication Date
Fri Jan 13 2023
Journal Name
Atmosphere
Impact of North African Sand and Dust Storms on the Middle East Using Iraq as an Example: Causes, Sources, and Mitigation
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This study aims to determine the reasons for the increase in the frequency of sand and dust storms in the Middle East and to identify their sources and mitigate them. A set of climatic data from 60 years (1960–2022) was analyzed. Sand storms in Iraq are a silty sand mature arkose composed of 72.7% sand, 25.1% silt, and 2.19% clay; the clay fraction in dust storms constitutes 70%, with a small amount of silt (20.6%) and sand (9.4%). Dust and sand storms (%) are composed of quartz (49.2, 67.1), feldspar (4.9, 20.9), calcite (38, 5), gypsum (4.8, 0.4), dolomite (0.8, 1.0), and heavy minerals (3.2, 6.6). Increasing temperatures in Iraq, by an average of 2 °C for sixty years, have contributed to an increase in the number of dust storm

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Publication Date
Wed Mar 01 2023
Journal Name
Civil Engineering And Architecture
The 20 Minutes Neighborhood between Planning and Reality: Analytical Study of Al-Jumhuriya District (District 838 and Part of District 840)
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