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Commuting Involution Graphs for Certain Exceptional Groups of Lie Type
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Abstract<p>Suppose that <italic>G</italic> is a finite group and <italic>X</italic> is a <italic>G</italic>-conjugacy classes of involutions. The commuting involution graph <inline-formula><alternatives><tex-math>$${\mathcal {C}}(G,X)$$</tex-math><math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mrow> <mi>C</mi> <mo>(</mo> <mi>G</mi> <mo>,</mo> <mi>X</mi> <mo>)</mo> </mrow> </math></alternatives></inline-formula> is the graph whose vertex set is <italic>X</italic> with <inline-formula><alternatives><tex-math>$$x, y \in X$$</tex-math><math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mrow> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>∈</mo> <mi>X</mi> </mrow> </math></alternatives></inline-formula> being joined if <inline-formula><alternatives><tex-math>$$x \ne y$$</tex-math><math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mrow> <mi>x</mi> <mo>≠</mo> <mi>y</mi> </mrow> </math></alternatives></inline-formula> and <inline-formula><alternatives><tex-math>$$xy = yx$$</tex-math><math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mrow> <mi>x</mi> <mi>y</mi> <mo>=</mo> <mi>y</mi> <mi>x</mi> </mrow> </math></alternatives></inline-formula>. Here for various exceptional Lie type groups of characteristic two we investigate their commuting involution graphs.</p>
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Publication Date
Sun Apr 26 2020
Journal Name
Iraqi Journal Of Science
The Numerical Approximation of the Bioheat Equation of Space-Fractional Type Using Shifted Fractional Legendre Polynomials
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The aim of this paper is to employ the fractional shifted Legendre polynomials (FSLPs) in the matrix form to approximate the fractional derivatives and find the numerical solutions of the one-dimensional space-fractional bioheat equation (SFBHE). The Caputo formula was utilized to approximate the fractional derivative. The proposed methodology applied for two examples showed its usefulness and efficiency. The numerical results showed that the utilized technique is very efficacious with high accuracy and good convergence.

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Publication Date
Wed May 17 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Evaluation of α1-Antitrypsine and Reduced Glutathione in Iraqi Patients of Diabetes Mellitus Type II.
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In order to investigate the levels of reduced glutathione GSH and  α1-antitrypsine in the sera of 20 type 2 diabetic patients and 10 healthy subjects, were enrolled in this study. A significant reduction in GSH level was found in the patient group compared with control.  On the other hand a significant elevation in α1-antitrypsine in patient compared with control was observed.  Correlation between α1-antitrypsine and reduced glutathion was found to be positive (+Ve) for diabetes mellitus type2 patients and negative (-Ve) for healthy control with r values 0.257 and – 0.339 respectively.  In conclusion the depletion of GSH as antioxidant defense insured higher free radical generation in diabetic patients

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Publication Date
Mon Feb 04 2019
Journal Name
Iraqi Journal Of Physics
Studying the contribution of components and type of spiral galaxy NGC 6946 using digital image processing
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NGC 6946 have been observed with BVRI filters, on October 15-18,
2012, with the Newtonian focus of the 1.88m telescope, Kottamia
observatory, of the National Research Institute of Astronomy and
Geophysics, Egypt (NRIAG), then we combine the BVRI filters to
obtain an astronomical image to the spiral galaxy NGC 6946 which
is regarded main source of information to discover the components of
this galaxy, where galaxies are considered the essential element of
the universe. To know the components of NGC 6946, we studied it
with the Variable Precision Rough Sets technique to determine the
contribution of the Bulge, disk, and arms of NGC 6946 according to
different color in the image. From image we can determined th

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Publication Date
Wed Sep 27 2023
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
Assessing the reliability of serum macrophage migration inhibitory factor as a marker for diabetic nephropathy prediction in type 2 diabetes patients and the effect of ACE inhibitors on its level
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Abstract Diabetic nephropathy (DN) is a prevalent chronic microvascular diabetic complication. As inflammation plays a vital role in the development and progress of DN the macrophages migration inhibitory factor (MIF), a proinflammatory multifunctional cytokine approved to play a critical function in inflammatory responses in various pathologic situations like DN. This study aimed To assess serum levels of MIF in a sample of Iraqi diabetic patients with nephropathy supporting its validity as a marker for predicting nephropathy in T2DM patients. In addition, to evaluate the nephroprotective effect of angiotensin-converting enzyme (ACE) inhibitors in terms of their influence on MIF levels. This is a case-control study involving ninety

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Publication Date
Tue Jan 30 2024
Journal Name
Iraqi Journal Of Science
Oscillation and Asymptotic Behavior of a Three-Dimensional Half-Linear System of Third-Order of Neutral Type
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     In this paper, the oscillatory properties and asymptotic behaviour of a third-order three-dimensional neutral system are discussed.  Some sufficient conditions are obtained to ensure that all bounded positive solutions of the system are oscillatory or non-oscillatory.  On the other hand, the non-oscillatory solutions either converge or diverge when  goes to infinity. A special technique is adopted to include all possible cases. The obtained results include illustrative examples.

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Publication Date
Mon Dec 06 2021
Journal Name
Iraqi Journal Of Science
Metric Type II Bursts with and without Coronal Mass Ejection During 20 Years
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Metric type II bursts are formed from shocks driven by CME or flares which is
indicative of particles (SEPs) accelerated to high energies. This work aims to
investigate the metric type II bursts, CMEs and flare for twenty years (1996-2016,
inclusive) over two solar cycles 23 and 24. The total metric type II bursts was 1378
events divided into two groups: first group associated with CMEs regardless their
properties and this group has (1147) events. The second group associated with flares
which has (231) events. The interstice fraction of this research is the metric type II
associated with CME is 83% whereas only 17% with flare where this very close to
the previous study in 2005 which found 81% despite it was for on

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Publication Date
Sun Jan 27 2019
Journal Name
Journal Of The College Of Education For Women
Parental supervision and its relation with personality type A.B among high Schools students
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Parents who give their sons arole in making parental decisions and admiring their views are the ones who build confidence and the feeling of competence within themselves and then their edgiest- rent with themselves becones better .
The (A.B) person-ality type is the core base of most psychological and educational studies because it is one of the most important subjects Concerning with the study of growth aspects whether they are physical, mental or Social. The present Study ains to measure the level of parental treatment among high School students, measure the level of (A) Personality type concept among them, recognize Statistically Significant differences in the level of parentaltreatment according gender variable and recognize the C

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Publication Date
Wed Mar 23 2011
Journal Name
Journal Of Baghdad College Of Dentistry
Factors associated with parotid gland enlargement among poorly controlled Type II Diabetes Mellitus
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Background: Microscopic examination of parotid gland reveals hypertrophy of the aciner cells sometimes two to three times greater than normal size of PG, in cases associated with longstanding diabetes. This study was designed to determine the effects of duration, fasting plasma glucose and glycosylated hemoglobin on parotid gland enlargement among poorly controlled type 2 diabetes mellitus. Subjects, Materials, and Method: This study was conducted on 36 parotid glands of 18 with type 2 DM , at age range ( 40-60) years, all of them were selected from subjects attending (Endocrine clinic for diabetic patients) in Baghdad Teaching Hospital. , pg was measured with ultrasonography in both longitudinal and horizontal plane. Results: the rate of e

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Publication Date
Thu Jan 27 2022
Journal Name
Iraqi Journal Of Science
Staphylococcus aureus Nasal Carriage and Obesity among Patients with Type Two Diabetes Mellitus
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The study aimed to find an association between Type two diabetes mellitus (T2DM) patients, obesity and the rate of nasal carriage of Staphylococcus aureus (NCSA) producer of TSST-1 in patients with T2DM compared with non-diabetic control groups. T2DM patients and control subjects were selected from outpatient of "The Specialist Center for Diseases of Endocrine and Diabetes" in Baghdad. The subjects were divided into 4 groups: Group I included 21 obese T2DM patients; Group II included 20 lean T2DM patients; Group III included 20 obese as control group and Group IV included 21 lean as control group. The study included sample with size (n= 82), male and female, with the ages ranged from 35 to 75 years, and the patients were not on any kind

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Publication Date
Mon Oct 30 2023
Journal Name
Iraqi Journal Of Science
Sandwich Subordinations Imposed by New Generalized Koebe-Type Operator on Holomorphic Function Class
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     In the complex field, special functions are closely related to geometric holomorphic functions. Koebe function is a notable contribution to the study of the geometric function theory (GFT), which is a univalent function. This sequel introduces a new class that includes a more general Koebe function which is holomorphic in a complex domain. The purpose of this work is to present a new operator correlated with GFT. A new generalized Koebe operator is proposed in terms of the convolution principle. This Koebe operator refers to the generality of a prominent differential operator, namely the Ruscheweyh operator. Theoretical investigations in this effort lead to a number of implementations in the subordination function theory. The ti

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