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Solving Linear Volterra – Fredholm Integral Equation of the Second Type Using Linear Programming Method
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In this paper, a new technique is offered for solving three types of linear integral equations of the 2nd kind including Volterra-Fredholm integral equations (LVFIE) (as a general case), Volterra integral equations (LVIE) and Fredholm integral equations (LFIE) (as special cases). The new technique depends on approximating the solution to a polynomial of degree  and therefore reducing the problem to a linear programming problem(LPP), which will be solved to find the approximate solution of LVFIE. Moreover, quadrature methods including trapezoidal rule (TR), Simpson 1/3 rule (SR), Boole rule (BR), and Romberg integration formula (RI) are used to approximate the integrals that exist in LVFIE. Also, a comparison between those methods is produced. Finally, for more explanation, an algorithm is proposed and applied for testing examples to illustrate the effectiveness of the new technique.

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Publication Date
Tue May 02 2023
Journal Name
Journal Of Optoelectronics And Advanced Materials
Preparation of samarium doped-PMMA composite by casting method to evaluate the optical properties and potential applications
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Samarium ions (Sm +3), a rare-earth element, have a significant optical emission within the visible spectrum. PMMA samples, mixed with different ratios of SmCl3.6H2O, were prepared via the casting method. The composite was tested using UV-visible, photoluminescence and thermogravimetric analysis (TGA). The FTIR spectrometry of PMMA samples showed some changes, including variation in band intensity, location, and width. Mixed with samarium decreases the intensity of the CO and CH2 stretching bands and band position. A new band appeared corresponding to ionic bonds between samarium cations with negative branches in the polymer. These variations indicate complex links between the Sm +3 ion and oxygen in the ether group. The optical absorption

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Publication Date
Mon Apr 01 2024
Journal Name
Materials Science In Semiconductor Processing
Rational design of novel 0D/0D Bi2Sn2O7/CeO2 in the core-shell nanostructure for boosting the photocatalytic decomposition of antibiotics in wastewater: S-type-based mechanism
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Publication Date
Wed Jun 29 2022
Journal Name
Journal Of The College Of Education For Women
The Reality of Teachers’ Use of Modern Technologies in Teaching Arabic as a Second Language in Terms of Objectives and Selection Foundations at the Institute of Arabic Language in Umm Al-qura University Mamoun Eltigani Hassan Eldali
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This study aims to know the degree of importance and the availability of the enhancing specifications of the educational process, and the way its objectives are achieved. Such a step involves using educational techniques, laying the selection foundations, knowing the methods of their employment and tracking the obstacles that limit this employment in teaching Arabic to non-native speakers. To achieve these objectives, the study followed a descriptive approach, and collected the necessary data through an integrated questionnaire prepared for the purpose of describing the phenomenon or topic. This approach was adopted, as it is characterized by being comprehensive, focuses on collecting data related and necessary to the topic under study.

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Publication Date
Sun Nov 01 2015
Journal Name
Journal Of Craniofacial Surgery
Evaluation of the Trephine Method in Harvesting Bone Graft From the Anterior Iliac Crest for Oral and Maxillofacial Reconstructive Surgery
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Publication Date
Mon Apr 06 2020
Journal Name
Asian Journal Of Civil Engineering
Integrated project delivery (IPD) method with BIM to improve the project performance: a case study in the Republic of Iraq
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Publication Date
Sun Dec 07 2014
Journal Name
Baghdad Science Journal
Estimation of Serum Osteocalcin Levels in Osteoporotic Postmenopausal Iraqi Women with Type 2 Diabetes Mellitus
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Background: Osteoporosis (OP) is a systemic disease characterized by low bone mass and micro architectural deterioration of bone tissue, resulting in an increased risk of fractures and has touched rampant proportions. Osteocalcin, one of the osteoblast-specific proteins, showed that its functions as a hormone improves glucose metabolism and reduces fat mass ratio. This study is aimed to estimate the osteocalcin and glucose level in blood serum of osteoporotic postmenopausal Women with and without Type 2 Diabetes.Materials and methods: 60 postmenopausal women with osteoporosis divided into two groups depending on with or without T2DM, 30 patients for each. Serum samples of 30 healthy postmenopausal women were collected as control group. Ost

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Publication Date
Thu Jan 01 2015
Journal Name
Journal Of Biotechnology Research Center
Evaluation of anti Epstien-Barr Virus antibodies in female patients with autoimmune hepatitis type-1
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Epstein-Barr Virus (EBV) infection is associated with broad spectrum of clinical manifestationsdepending on the immune status of the host, To analyze their possible role in the complication ofautoimmune hepatitis, we investigated (30) female patients with autoimmune hepatitis type-1 of(10-40)years and 25 healthy female of same ages(control groups). Both groups were carried outto measure the levels of EBV-CA IgM, IgG Ab, EBV-EA IgM, IgG Ab, and EBV-NA IgM, IgGAb using indirect immunoflourescent assay (IFAT).The prevalence of EBV-CA IgM, IgG Ab were(10%,20%) and EBV-EA IgM, IgG Ab were (10% and20%) respectively, while the prevalence ofEBV-NA IgG Ab was( 3.33%) and there are no prevalence of EBV-NA IgM Ab. There weresignificant differences (P

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Publication Date
Fri Jan 01 2021
Journal Name
Indian Journal Of Forensic Medicine & Toxicology,
Role of CoQ10 and IGFBP-1 in Obese Male Patients with Diabetic Mellitus Type II
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Study the role of CoQ10 and IGFBP-1 in obese male patients with diabetic mellitus type 2. ELISA method was used to assay Serum CoQ10 and IGFBP-1. Blood was taken with drawn sample from 30 obese normal patients with age range (40-60) years, 30 diabetic patients with age range (40-60) years at duration of disease (1-5) years and 30 normal healthy patients. The mean difference between T2DM according to CoQ10 (12.5±1.1) was decreased than the mean of IFG (21.8±3.2) (P 0.002) and the mean difference between T2DM according to IGFBPs (0.65±0.06) was decreased than the mean of IFG (3.2±0.3) (P 0.000). While no significant difference between mean age of DM2 patients (55.5±1.06), and IFG (55.6±0.9) (p 0.90), no significant difference bet

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Publication Date
Thu Jan 01 2015
Journal Name
Health
Evaluation of Myocardial Performance in Hypertensive Patients with Type 2 Diabetes and Normal Ejection Fraction
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Publication Date
Sat Dec 01 2007
Journal Name
Al-nahrain Journal Of Science
Delayed type of hypersensitivity and its relation with experimental infection with two different Leishmania antigen
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