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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 Dec 01 2024
Journal Name
Al-kindy College Medical Journal
Assessing the Effect of Apremilast on Serum Leptin levels in Obese Patients with Psoriasis
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Background: Psoriasis is a common inflammatory condition worldwide, with an average prevalence ranging from 2% to 3%. However, the incidence of psoriasis varies among different ethnic groups and regions. Elevated leptin levels have been associated with increased cellular proliferation, including T-cells. Additionally, high leptin levels may stimulate the synthesis of proinflammatory cytokines such as ILـ6 and TNFـα. Objectives: To evaluate the effect of Apremilast on Leptin in obese psoriatic patients. Subjects and Methods: Thirty patients with psoriasis were included in This prospective cohort study to measure the levels of serum Leptin by using the ELISA technique, before and after receiving Apremilast. Result: The present work

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Publication Date
Mon Mar 15 2021
Journal Name
Al-academy
tv series with multiple parts from the viewers viewpoint: عبد الكريم حسين عباس السوداني
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TV drama has gone through many developmental stages until it reached and settled in the form of TV series of thirty episodes. Alongside the development of the TV technologies and the widespread of satellite channels, the form of the TV drama has changed and the series has consisted of two parts and then parts multiplied until they amounted to ten parts and more. This form of TV drama has become an artistic phenomenon, that once the series is displayed on one of the channels and achieves a noticeable success, its producers work to produce a second part of that series and so on. This form of TV drama has remained away from being researched.
This has urged the researcher to accomplish this study entitled (TV series of multiple parts fro

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Publication Date
Sun Oct 20 2024
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
The Study of Prolidase Level and Some Biochemical Variables in Iraqi Patients with Acromegaly
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     Acromegaly is a condition that results from excessive growth hormone production by the anterior pituitary gland. Prolidase (PLD) is the only known human enzyme that can hydrolyze dipeptides with an amino acid at their C terminus. Reports indicate that PLD activity serves as a marker for oxidative stress in numerous disorders such as diabetes, diabetic neuropathy, chronic liver diseases, and osteoporosis. The current study aims to estimate the values of PLD, its correlation with the rest of the parameters, and ROC in acromegaly patients. A group of 61 patients with confirmed acromegaly were collected from the National Diabetic Center, Mustansyrriah University, and 60 control groups were analyzed in the same place for the par

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Publication Date
Wed Nov 13 2019
Journal Name
Al-kindy College Medical Journal
Outcome Of Surgical Treatment Of Tuberculosis Of The Spine In Patients With Motor Deficits
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Background: Significant numbers of patients with spinal tuberculosis (TB), especially in developing countries, still present late after disease onset with severe neurological deficits.

Objective:This study was conducted to assess the outcome of surgery in patients with tuberculosis of the spine with motor deficits.

Type of the study: Retrospective study.

Methods: We retrospectively analyzed data obtained in all the patients with severe motor deficits due to spinal TB admitted to and surgically treated in four hospitals in Baghdad/Iraq during the period from January 2012 to January 2014. History, examination, imaging, histological, postoperative, a

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Publication Date
Sun Feb 03 2019
Journal Name
Journal Of The College Of Education For Women
Logical thinking and its relation with problem Solving among female instructors in the university
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problems with its unobvious effect on scientific creativity and information. Problem solving is one of main goals of researchers because it develops their right logical thinking methods. The present study aims at measuring logical thinking among female it structures in the university mea swing problem solving among them ,identifying statically differences significance in logical thinking among female instructors in the university according to (Specialization Variable), identifying differences significance in problem Solving among female instructions in the university according to ( Specialization Variable) and identifying the Correlation between logical thinking and problem solving among female instructors in the university. The sample c

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Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Engineering
The Response of Reinforced Concrete Composite Beams Reinforced with Pultruded GFRP to Repeated Loads
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This paper investigates the experimental response of composite reinforced concrete with GFRP and steel I-sections under limited cycles of repeated load. The practical work included testing four beams. A reference beam, two composite beams with pultruded GFRP I-sections, and a composite beam with a steel I-beam were subjected to repeated loading. The repeated loading test started by loading gradually up to a maximum of 75% of the ultimate static failure load for five loading and unloading cycles. After that, the specimens were reloaded gradually until failure. All test specimens were tested under a three-point load. Experimental results showed that the ductility index increased for the composite beams relative to the reference specim

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Crossref
Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Engineering
The Response of Reinforced Concrete Composite Beams Reinforced with Pultruded GFRP to Repeated Loads
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Publication Date
Tue Jul 05 2022
Journal Name
Journal Of Pharmaceutical Care
Epidemiological and Clinical Factors Affecting the Response to Etanercept Among Patients with Rheumatoid Arthritis
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Publication Date
Mon Nov 05 2018
Journal Name
Iraqi National Journal Of Nursing Specialties
Effect of Physiotherapy on the Motor Recovery and Improvement in Patients with Facial Palsy
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Objectives: The study aims to investigate the efficiency of physiotherapy methods to improve the
degree of the clinical recovery of the peripheral facial palsy.
Methodology: This study is carried out at the Rehabilitation Center-Baghdad from November 2009 till
March 2010. This study includes (40) patient, their ages are from (13) to (55) years old; (24) male and
(16) female with unilateral facial palsy of undetermined cause. House-Brackmann facial recovery
scores have been used before and after the physiotherapy treatment.
Results: The results show that the physiotherapy sessions obtained the best effect of the electrical
stimulation, exercises and massage in the treatment of facial palsy. Highly respondents in femal

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Publication Date
Sun Apr 07 2013
Journal Name
Journal Of Educational And Psychological Researches
The Sources of psychological Stress with students living at dormitories in university of Baghdad.
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Stress with all its kinds are the results of a nick development Leading to delinquency burdening the ability of people.. development gas its effect on self and body reflecting on health ( physically, Psychological. And mentally) and finally leading to death (Al emara,2001,2).

Stress refers to he degree of response of the individual to events and environmental changes in his daily life with their physiological effects  such as headaches , backaches, and gastric ulcer that have different effect depending on the personality of the person and his psychological characteristics differences airing individuals ( Al emirs, zool,2  )

The aims:

  • knowi

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