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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
Wed Sep 01 2021
Journal Name
Journal Of Engineering
Water Treatment With Conventional and Alternative Coagulants: A Review
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There is no access to basic sanitation for half the world's population, leading to Socioeconomic issues, such as scarcity of drinking water and the spread of diseases. In this way, it is of vital importance to develop water management technologies relevant to the target population. In addition, in the separation form of water treatment, the compound often used as a coagulant in water treatment is aluminum sulfate, which provides good results for raw water turbidity and color removal. Studies show, however, that its deposition in the human body, even Alzheimer's disease, can cause serious harm to health and disease development. The study aims to improve the coagulation/flocculation stage related to the amount of flakes, i

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Publication Date
Wed Nov 20 2024
Journal Name
Diabetes Mellitus
Serum visfatin in patients with type two diabetic retinopathy
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BACKGROUND: The primary cause of blindness in diabetics is diabetic retinopathy (DR), the most common microvascular complication of diabetes, and visual impairment. Visfatin is an adipocytokine that aids in insulin activity during gestational diabetes and pregnancy.

AIM: This study aimed to estimate serum visfatin levels in DR, proliferative (PDR), non-proliferative (NPDR), and healthy subjects (HS).

MATERIALS AND METHODS: A 120-patient case-control study with a history of T2DM for more than 5 years as well as 30 healthy subjects enrolled in the study. Patients group divided into three sub-groups, DM, PDR, and NPDR. Visfatin levels w

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Publication Date
Fri Sep 01 2023
Journal Name
Al-khwarizmi Engineering Journal
Tracked Robot Control with Hand Gesture Based on MediaPipe
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Hand gestures are currently considered one of the most accurate ways to communicate in many applications, such as sign language, controlling robots, the virtual world, smart homes, and the field of video games. Several techniques are used to detect and classify hand gestures, for instance using gloves that contain several sensors or depending on computer vision. In this work, computer vision is utilized instead of using gloves to control the robot's movement. That is because gloves need complicated electrical connections that limit user mobility, sensors may be costly to replace, and gloves can spread skin illnesses between users. Based on computer vision, the MediaPipe (MP) method is used. This method is a modern method that is discover

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Publication Date
Sun Feb 01 2015
Journal Name
Italian Journal Of Geosciences
Characteristics of Clays Stabilized with Lime-Silica Fume Mix
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Publication Date
Sun Mar 04 2012
Journal Name
Baghdad Science Journal
Evaluation of cellular immune response in Golden Hamsters experimentally infected with Leishmania donovani comparing with cellular immune response against chicken Red Blood Cells.
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The Evaluation of the immune response in Golden Hamsters experimentally infected with Leishmania donovani was determined in this study, particularly, the cellular immune response. Follow up has maintained to determine the Delayed Type of Hypersensitivity using skin test both in infected and control lab animals. Chicken red blood cells were used as a parameter to evaluate the immune system; they are dull and have the ability of immunization. Two concentrations of chicken R.B.C were examined to determine which gives the higher titration in Hamsters and those were 1.5 X 109 cell/ml and 3 X 109 cell/ml , the second concentration gave the maximum titration where then used in this work. After sensitization with Chicken R.B.C for both infected a

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Publication Date
Sun Mar 04 2012
Journal Name
Baghdad Science Journal
Evaluation of cellular immune response in Golden Hamsters experimentally infected with Leishmania donovani comparing with cellular immune response against chicken Red Blood Cells.
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The Evaluation of the immune response in Golden Hamsters experimentally infected with Leishmania donovani was determined in this study, particularly, the cellular immune response. Follow up has maintained to determine the Delayed Type of Hypersensitivity using skin test both in infected and control lab animals. Chicken red blood cells were used as a parameter to evaluate the immune system; they are dull and have the ability of immunization. Two concentrations of chicken R.B.C were examined to determine which gives the higher titration in Hamsters and those were 1.5 X 109 cell/ml and 3 X 109 cell/ml , the second concentration gave the maximum titration where then used in this work. After sensitization with Chicken R.B.C for both in

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Publication Date
Wed Jan 01 2020
Journal Name
Biochemical & Cellular Archives
CORRELATION STUDY BETWEEN METHIONINE SYNTHASE, CYSTATHIONINE B SYNTHASE WITH CLASSIC PARAMETERS AFTER TREATED WITH JANUVIA IN IRAQI DIABETIC PATIENT'S TYPE 2 AND COMPLICATION.
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This study was aimed to examined effect of Januvia treatment on methionine synthases Meth and cystathionine B- synthase (CBS) in Iraqi patients type2 without treated and another group who taken Januvia treated in addition to diabetic patients with complication without treated with Januvia Also, to found the relationship between these parameters with BMI, FBS, HbA1C and Insulin levels. Firstly, the blood sampling date for this research between December and February 2019 - 2020. Blood sampling was withdrawn from 8:00 to 10:00 in the case of fasting of all substances . five milliliters of venous blood were collected by means of an antecubital venipuncture divided into two parts, one of which (2ml) was put in a tube containing anticoagulant fac

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Publication Date
Fri May 01 2015
Journal Name
Journal Of Engineering
Numerical Analysis of Fluid Flow and Heat Transfer by Forced Convection in Channel with one-sided Semicircular Sections and Filled with Porous Media
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This research presents a numerical study to simulate the heat transfer by forced convection as a result of fluid flow inside channel’s with one-sided semicircular sections and fully filled with porous media. The study assumes that the fluid were Laminar , Steady , Incompressible and inlet Temperature was less than Isotherm temperature of a Semicircular sections .Finite difference techniques were used to present the governing equations (Momentum, Energy and Continuity). Elliptical Grid is Generated using Poisson’s equations . The Algebraic equations were solved numerically by using (LSOR (.This research studied the effect of changing the channel shapes on fluid flow and heat transfer  in two cases ,the first: cha

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Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Xi’an Shiyou University, Natural Science Edition
The effect of an electronic device designed to measure the degree of bending of the knee angle in developing the skill of catch and Clearance the high ball for football goalkeepers under (15 years)
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The development taking place on the sports field at the general level and in the game of football at the private level, being the most popular game in the world, has reached very advanced stages. The use of modern aids and technology has contributed greatly to this development from the collective and individual aspects, as the goalkeeper is the most important position in the team, the use of devices gave objective readings about the goalkeeper’s ability in terms of skill and physical aspects, as the importance of the research lies in designing an electronic device to measure the degree of bending of the knee angle because of its great importance in developing the skill of catching and dimensions of the high ball for football goalkeepers.

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Publication Date
Sat Jul 18 2026
Journal Name
Sport Culture
Some bio-motor abilities and their relationship to the skill of standing on the hands followed by the forward roll on the mat of floor movements in artistic gymnastics for women
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The research consists of five chapters, and in the first chapter, it addresses the introduction and importance of the research, where the researcher explained the importance of bio-motor abilities and their role in achieving a high level through their connection to the skill performance of standing on the hands followed by the forward roll, and the research problem: Do these bio-motor abilities have an impact on the level of skill performance? Handstand followed by forward roll.

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