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Score for the Group SL(2,38)

        The set of all (n×n) non-singular matrices over the field F. And this set forms a group under the operation of matrix multiplication. This group is called the general linear group of dimension  over the field F, denoted by . The determinant of these matrices is a homomorphism from  into F* and the kernel of this homomorphism was the special linear group and denoted by  Thus  is the subgroup of  which contains all matrices of determinant one.

The rationally valued characters of the rational representations are written as a linear combination of the induced characters for the groups discussed in this paper. We find the Artin indicator for this group after studying the rationally valued characters of the rational representations and the induced characters.

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Publication Date
Sun Jan 01 2023
Journal Name
Mathematical Statistician And Engineering Applications
Publication Date
Wed Jun 29 2022
Journal Name
Journal Of The College Of Education For Women
The Predictive Ability of the University Grade Point Average in the Specialized Test Score for thAbility of the University Grade Point Average in the Specialized Test Score for the Teacher Position in the Ministry of Education in the Sultanate of Oman

the most important purposes and uses of the test results in the educational sector. This is because the quality of tests is related to their ability to predict the learner's behavior in the future, and the accuracy of the educational and administrative decisions that are taken in light of their results. The study aimed accordingly to reveal the predictive ability of the university Grade Point Average (GPA) in the Score of the specialized test for the position of teacher in the Ministry of Education in the Sultanate of Oman. It further aimed to investigate the differences in the predictive ability according to the specialization and academic year using the descriptive approach. The sample of the study consisted of (349) s/he students enro

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Publication Date
Mon Dec 01 2014
Journal Name
2014 Ieee Student Conference On Research And Development
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Publication Date
Wed May 01 2019
Journal Name
Iraqi Journal Of Science
Investigating Particular Representations for Matrix Lie Groups SO(3) and SL(2,₵)

A complexified adjoint representations of the complexification Lie algebras associated with the special orthogonal group SO(3) and special linear group SL(2,₵)  have been obtained. A new representation of their tensor product is naturally arisen and computed in details.

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Publication Date
Sun Jan 01 2023
Journal Name
Journal Of Discrete Mathematical Sciences And Cryptography
A4-graph for the twisted group 3D4 (3)

Assume that G is a finite group and X = tG where t is non-identity element with t3 = 1. The simple graph with node set being X such that a, b ∈ X, are adjacent if ab-1 is an involution element, is called the A4-graph, and designated by A4(G, X). In this article, the construction of A4(G, X) is analyzed for G is the twisted group of Lie type 3D4(3).

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Publication Date
Wed Jan 01 2014
Journal Name
Journal Of Engineering Research And Applications
Publication Date
Tue Mar 30 2021
Journal Name
Journal Of Interdisciplinary Mathematics
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Publication Date
Wed Aug 31 2022
Journal Name
Iraqi Journal Of Science
The Discs Structures of A4-Graph for the Held Group

     Let G be a finite group and X be a G-conjugacy of elements of order 3. The A4-graph of G is a simple graph with vertex set X and two vertices x,yÎX are linked if x≠ y and xy-1 is an involution element. This paper aims to investigate  the A4-graph properties for the monster  Held group He.

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Publication Date
Tue Feb 28 2023
Journal Name
Iraqi Journal Of Science
Benchmarking Framework for COVID-19 Classification Machine Learning Method Based on Fuzzy Decision by Opinion Score Method

     Coronavirus disease (COVID-19), which is caused by SARS-CoV-2, has been announced as a global pandemic by the World Health Organization (WHO), which results in the collapsing of the healthcare systems in several countries around the globe. Machine learning (ML) methods are one of the most utilized approaches in artificial intelligence (AI) to classify COVID-19 images. However, there are many machine-learning methods used to classify COVID-19. The question is: which machine learning method is best over multi-criteria evaluation? Therefore, this research presents benchmarking of COVID-19 machine learning methods, which is recognized as a multi-criteria decision-making (MCDM) problem. In the recent century, the trend of developing

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Publication Date
Tue Aug 04 2009
Journal Name
Journal Of The College Of Basic Education, Al-mustansiriyah University