The Approximation of Weighted Hölder Functions by Fourier-Jacobi Polynomials to the Singular Sturm-Liouville Operator

Ahmed H. Kamil

doi:10.21123/bsj.2022.6128

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Publication Date

Thu Dec 01 2022

Journal Name

Baghdad Science Journal

Volume

19

Issue Number

6

DOI

10.21123/bsj.2022.6128

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The Approximation of Weighted Hölder Functions by Fourier-Jacobi Polynomials to the Singular Sturm-Liouville Operator

Best approximation

Jacobi Polynomials

Moduli of smoothness

Sturm-Liouville equation

Weighted Ho ̈lder spaces

Habeeb A. Aal-Rkhais

Ahmed H. Kamil

Khalid Fanoukh Al Oweidi

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In this work, a weighted H lder function that approximates a Jacobi polynomial which solves the second order singular Sturm-Liouville equation is discussed. This is generally equivalent to the Jacobean translations and the moduli of smoothness. This paper aims to focus on improving methods of approximation and finding the upper and lower estimates for the degree of approximation in weighted H lder spaces by modifying the modulus of continuity and smoothness. Moreover, some properties for the moduli of smoothness with direct and inverse results are considered.

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Publication Date

Sun Mar 07 2010

Journal Name

Baghdad Science Journal

Simultaneous influences of hematocrit in the erythrocyte medium on erythrocyte aggregation and sedimentation: a kinetic study by a laser scattering technique

"RBC aggregation

ESR

rate Laser "

F.

R.

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The erythrocyte aggregation is an important physiological phenomenon in the circulation of blood. It is a basic characteristic of normal blood that plays a major role in the cardiovascular system, especially in the microcirculation. This study explained the kinetics of single cells rouleaux formation one- dimensional aggregate and three- dimensional aggregate, during simultaneous, and the effect of hematocrit on the process of aggregation and sedimentation. The present study was done on forty one healthy subjects. Laser light is passed through a well mixed sample of blood and the forward scattered light intensities recorded continuously. The samples were prepared with different hematocrit, (10%, 15%, 20%, and 25%). Increasing

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Publication Date

Mon Dec 01 2014

Journal Name

Journal Of Economics And Administrative Sciences

Material Requirements Planning (MRP) for Electric Geyser Product by Using Goal Programming\ applicative research in the general company of electrical industrialization

تخطيط الاحتياجات من المواد (MRP)

برمجة الاهداف.

Material Requirements Planning

Goal Programming

وقاص سعد

نادية لطفي

منال داود

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Material Requirements Planning System (MRP) is considered as one of the planning and controlling of production and inventory systems which is used to prepare plan of the final production requirements and its parts of subcomponents raw materials and the time at which it was needed for the purpose of preparing orders of production and purchase.

The problem of the present work is represented in the general company of electrical industrialization adoption of traditional methods and personal experience of the process of the products and\or purchase quantity and inventory quantities and limiting the required time for acquiring the required quantities of the materials and parts used in the finish product of the

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Publication Date

Sun Sep 01 2013

Journal Name

Baghdad Science Journal

Comparing Study of The Stability and spectral properties vibrations for some Tellurium (IV) compounds containing cycloctadienyl group by Quantum Mechanical Calculations

Tellurium

vibrational spectra

DFT

stability

Manal Obaid

Abdel-Amir M.

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Density Functional Theory (DFT) with B3LYP hybrid exchange-correlation functional and 3-21G basis set and semi-empirical methods (PM3) were used to calculate the energies (total energy, binding energy (Eb), molecular orbital energy (EHOMO-ELUMO), heat of formation (?Hf)) and vibrational spectra for some Tellurium (IV) compounds containing cycloctadienyl group which can use as ligands with some transition metals or essential metals of periodic table at optimized geometrical structures.

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Publication Date

Fri Dec 28 2018

Journal Name

Advances In Language And Literary Studies

Simplification Strategies in the Production of English Word-final Obstruent Clusters by Iraqi EFL College Students from A Markedness Theory Perspective

English

Arabic

EFL

Markedness

Obstruents

Phonotactics

Zainab

Mahdi

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This study investigates the phonotactics of English obstruent clusters in the word-final position from a markedness theory perspective among Iraqi EFL College Students whose native language, Arabic, prefers only two-member word-final obstruent cluster as a maximum. The markedness of clusters is measured depending on Iraqi EFL College Students’ utilization of the simplification strategies. This study tries to answer whether or not word-final obstruent clusters are marked or unmarked for Iraqi EFL College Students, and whether or not the markedness of the obstruent cluster increases as to its length. In order to answer these questions, a test has been distributed among 60 Iraqi EFL Fourth-Year College students, Department of English, Colleg

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Publication Date

Wed Mar 10 2021

Journal Name

Baghdad Science Journal

Improve the performance of solar cells using new designs for pelvic center wheel Type V compound mirrors encased by Vernil glasses

Ali Hadi

Sabri

Kawked

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Design and build a center basins new p-type four mirrors were studied its effect on all parameters evaluating the performance of the solar cell silicon in the absence of a cooling system is switched on and noted that the efficiency of the performance Hzzh cell increased from 11.94 to 21 without cooling either with cooling has increased the efficiency of the

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Publication Date

Sun Jan 01 2023

Journal Name

Aip Conference Proceedings

The optical properties of mawsonite Cu6Fe2SNS8 [CFTS] thin films effected by red laser irradiation deposited via semi-computerized spray pyrolysis technique

Bahaa T.

Mushtaq Talib

Nathera

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Publication Date

Fri Dec 30 2022

Journal Name

Iraqi Journal Of Science

Structural, Optical, and Morphological Study of the Zinc Oxide Nano-Thin Films with Different Thickness Prepared by Pulsed Laser Deposition Technique

Fatima A.

Mohammed T.

Mudar A.

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The goal of this investigation is to prepare zinc oxide (ZnO) nano-thin films by pulsed laser deposition (PLD) technique through Q-switching double frequency Nd:YAG laser (532 nm) wavelength, pulse frequency 6 Hz, and 300 mJ energy under vacuum conditions (10-3 torr) at room temperature. (ZnO) nano-thin films were deposited on glass substrates with different thickness of 300, 600 and 900 nm. ZnO films, were then annealed in air at a temperature of 500 °C for one hour. The results were compared with the researchers' previous theoretical study. The XRD analysis of ZnO nano-thin films indicated a hexagonal multi-crystalline wurtzite structure with preferential growth lines (100), (002), (101) for ZnO nano-thin films with different thi

(3)

(1)

Publication Date

Fri Jul 29 2022

Journal Name

Journal For Vascular Ultrasound

A Comparative Study of the Right and Left Carotid Arteries in Relation to Age for Patients With Diabetes and Hypertension

Introduction: Age

hypertension

and diabetes can cause significant alterations in arterial structure and function

including changes in lumen diameter (LD)

intimal-medial thickness (IMT)

flow velocities

and arterial compliance. These are also considered risk markers of atherosclerosis and cerebrovascular disease. A difference between right and left carotid artery blood flow and IMT has been reported by some researchers

and a difference in the incidence of nonlacunar stroke has been reported between the right and left brain hemispheres. The aim of this study was to determine whether there are differences between the right and left common carotid arteries and internal carotid arteries in patients with hypertension and diabetes for 2 age groups. Methods: We studied 250 patients with both diabetes and hypertension. Patients were divided into 2 age groups with the old age group being 56 to 75 years and the young age group 35 to 55 years. The bilateral common carotid and internal carotid arteries were evaluated with B-mode ultrasound and Doppler examinations. The LD and IMT were measured for both common carotid arteries

and spectral waveform parameters and indices were recorded for both internal carotid arteries. Results: The difference in LD between the left and right common carotid arteries for the old age group was 11.64% and for the young age group was 6.42%

with significant P values of <.05 for both age groups. The difference in IMT between the left and right common carotid arteries was 18.27% in the old age group compared with 15.38% in the young age group

with significant P values of <.05. There was a difference in peak systolic velocity between the left and right internal carotid arteries of 4.85% in the old age group which was not significant

compared with 14.28% in the young age group with a significant P value <.05

whereas the difference in end-diastolic velocity between the left and right internal carotid arteries was not significant for both age groups. Differences between the right and left internal carotid arteries for resistive index

pulsatility index

and pressure gradient were significant only in the young age group. Conclusion: We found significant differences between the right and left common carotid and internal carotid arteries in patients with diabetes and hypertension which were more prominent in the young age group. Values for common carotid IMT and LD were significantly higher in the left common carotid artery versus the right common carotid artery in both age groups. Differences between the 2 carotid sides may be attributed to anatomic variations in the common carotid artery origins which lead to differences in stress between the 2 sides

Ahmed Abduljabar

Samar I.

Anmar Z

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Introduction:

Age, hypertension, and diabetes can cause significant alterations in arterial structure and function, including changes in lumen diameter (LD), intimal-medial thickness (IMT), flow velocities, and arterial compliance. These are also considered risk markers of atherosclerosis and cerebrovascular disease. A difference between right and left carotid artery blood flow and IMT has been reported by some researchers, and a difference in the incidence of nonlacunar stroke has been reported between the right and left brain hemispheres. The aim of this study was to determine whether there are differences between the right and left common carotid arteries and internal carotid arteries in patient

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Publication Date

Sat Apr 01 2023

Journal Name

Alexandria Engineering Journal

Employing Sisko non-Newtonian model to investigate the thermal behavior of blood flow in a stenosis artery: Effects of heat flux, different severities of stenosis, and different radii of the artery

MA

Uday

Zahraa

Farag

Hafidh l.

Ali

Muataz

Salema K.

Reem

Iman

Majid

Maboud

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(28)

Publication Date

Fri Sep 03 2010

Journal Name

Journal Of The College Of Education For Women

Analysis of Grammatical Forms and Semantic Functions of Hedging in Political Discourse: American Presidential Debate: تحلیل نماذج نحویة ذات وظائف دلالیة مستعملة في الخطاب السیاسي بوصفھ اسلوباً تحوطیاً: المناظرة الرئاسیة الاولى في الانتخابات الامریكیة

Hedging

Rufaidah Kamal

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Hedging is a linguistic avoidance of full commitment or precision. It is the use of a vague language. The main objectives of this study are to

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