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Reliable Recurrence Algorithm for High-Order Krawtchouk Polynomials
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Krawtchouk polynomials (KPs) and their moments are promising techniques for applications of information theory, coding theory, and signal processing. This is due to the special capabilities of KPs in feature extraction and classification processes. The main challenge in existing KPs recurrence algorithms is that of numerical errors, which occur during the computation of the coefficients in large polynomial sizes, particularly when the KP parameter (p) values deviate away from 0.5 to 0 and 1. To this end, this paper proposes a new recurrence relation in order to compute the coefficients of KPs in high orders. In particular, this paper discusses the development of a new algorithm and presents a new mathematical model for computing the initial value of the KP parameter. In addition, a new diagonal recurrence relation is introduced and used in the proposed algorithm. The diagonal recurrence algorithm was derived from the existing n direction and x direction recurrence algorithms. The diagonal and existing recurrence algorithms were subsequently exploited to compute the KP coefficients. First, the KP coefficients were computed for one partition after dividing the KP plane into four. To compute the KP coefficients in the other partitions, the symmetry relations were exploited. The performance evaluation of the proposed recurrence algorithm was determined through different comparisons which were carried out in state-of-the-art works in terms of reconstruction error, polynomial size, and computation cost. The obtained results indicate that the proposed algorithm is reliable and computes lesser coefficients when compared to the existing algorithms across wide ranges of parameter values of p and polynomial sizes N. The results also show that the improvement ratio of the computed coefficients ranges from 18.64% to 81.55% in comparison to the existing algorithms. Besides this, the proposed algorithm can generate polynomials of an order ∼8.5 times larger than those generated using state-of-the-art algorithms.

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Publication Date
Sat Oct 01 2022
Journal Name
Iraqi Postgraduate Medical Journal
Helicobacter Pylori Infection among Dyspeptic Patients Referred for Endoscopy
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Functional dyspepsia is one of the most common gastrointestinal symptoms and attributed to various causes including Helicobacter pylori infection. AIM OF THE STUDY: To correlate Helicobacter pylori infection to functional dyspepsia and to identify the possible risk factors for this infection. PATIENTS AND METHODS: Fifty patients who were referred to the endoscopy unit for dyspepsia symptoms, secondary gastric causes of dyspepsia were excluded during endoscopy, gastric biopsies were taken for histopathological study and for bedside urease test for detection of Helicobacter pylori infection. RESULTS: 62% of non-ulcer dyspeptic patients were infected with Helicobacter pylori, 74.2% of the patients were above 30 years old, female gender patient

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Publication Date
Tue Jun 30 2015
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Preparation and Characterization of Nay Zeolite for Biodiesel Production
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Iraqi kaolin was used for the preparation and characterization of NaY zeolite for biodiesel production via esterification reaction. Oleic acid was used usually as a typical simulated feedstock of high acid number for the esterification reaction.

   The chemical composition for the prepared Nay zeolite is as following:  (Ca2.6Na1.K0.1)(Al6.3Si17.7)O48.16H2O, the silica to alumina ratio in the prepared catalyst was found equal to 2.6 and Na2O content was 12.26 wt. %, with relative crystallinity equal to 147.4 % obtained by the X-ray diffraction. The surface area result shows that the prepared catalyst has 330 m2

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Publication Date
Thu Feb 11 2021
Journal Name
Physics In Medicine & Biology
Stereoscopic portable hybrid gamma imaging for source depth estimation
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Abstract<p>Advances in gamma imaging technology mean that is now technologically feasible to conduct stereoscopic gamma imaging in a hand-held unit. This paper derives an analytical model for stereoscopic pinhole imaging which can be used to predict performance for a wide range of camera configurations. Investigation of this concept through Monte Carlo and benchtop studies, for an example configuration, shows camera-source distance measurements with a mean deviation between calculated and actual distances of <5 mm for imaging distances of 50–250 mm. By combining this technique with stereoscopic optical imaging, we are then able to calculate the depth of a radioisotope source beneath a surfa</p> ... Show More
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Publication Date
Thu Dec 18 2025
Journal Name
Journal Of Engineering
Correction Procedure for the Determination of Soil Specific Surface
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Publication Date
Mon Oct 04 2004
Journal Name
International Conference On Geotechnical Engineering
The Equivalent Grain Diameter for Soil Specific Surface Determination
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Publication Date
Tue Aug 02 2022
Journal Name
Karbala International Journal Of Modern Science
Performance Simulation for Adaptive Optics Technique Using OOMAO Toolbox
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The Adaptive Optics technique has been developed to obtain the correction of atmospheric seeing. The purpose of this study is to use the MATLAB program to investigate the performance of an AO system with the most recent AO simulation tools, Objected-Oriented Matlab Adaptive Optics (OOMAO). This was achieved by studying the variables that impact image quality correction, such as observation wavelength bands, atmospheric parameters, telescope parameters, deformable mirror parameters, wavefront sensor parameters, and noise parameters. The results presented a detailed analysis of the factors that influence the image correction process as well as the impact of the AO components on that process

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Publication Date
Thu Dec 05 2013
Journal Name
Journal Of Physical Education
Determine criteria for follow-up test defensive basketball junior
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Longer follow-up defense , one of basketball skills that require the team collective action involving active part and consistent to acquire bouncing balls even not be a chance for members of the team striker acquisition rebounding from the target area and bring it back again , which reduces the chances of scoring, and it enables team members defender of the performance of fast attack and score points for being the increase your chances of success.In light of the foregoing, reflected the importance of research in achieving the objective basis of skill tests that require a circumstance similar to the circumstances of the game with the standard operating procedures for the registration, and that the validity judged by consistency between tests

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Publication Date
Wed Jul 31 2024
Journal Name
Iraqi Geological Journal
Correlating Capillary Pressure and Resistivity Index for Carbonate Reservoir
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Capillary pressure is a significant parameter in characterizing and modeling petroleum reservoirs. However, costly laboratory measurements may not be sufficiently available in some cases. The problem amplifies for carbonate reservoirs because relatively enormous capillary pressure curves are required for reservoir study due to heterogeneity. In this work, the laboratory measurements of capillary pressure and formation resistivity index were correlated as both parameters are functions of saturation. Forty-one core samples from an Iraqi carbonate reservoir were used to develop the correlation according to the hydraulic flow units concept. Flow zone indicator (FZI) and Pore Geometry and Structure (PGS) approaches were used to identify

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Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Interdisciplinary Mathematics
Computations for the groups SL(2,81) and SL(2,729)
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For any group G, we define G/H (read” G mod H”) to be the set of left cosets of H in G and this set forms a group under the operation (a)(bH) = abH. The character table of rational representations study to gain the K( SL(2,81)) and K( SL(2, 729)) in this work.

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Publication Date
Thu Nov 17 2022
Journal Name
Journal Of Interdisciplinary Mathematics
Study on approximate analytical methods for nonlinear differential equations
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In this work, an analytical approximation solution is presented, as well as a comparison of the Variational Iteration Adomian Decomposition Method (VIADM) and the Modified Sumudu Transform Adomian Decomposition Method (M STADM), both of which are capable of solving nonlinear partial differential equations (NPDEs) such as nonhomogeneous Kertewege-de Vries (kdv) problems and the nonlinear Klein-Gordon. The results demonstrate the solution’s dependability and excellent accuracy.

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