GPH - International Journal of Mathematics
https://gphjournal.org/index.php/m
<p style="font-family: Aptos;"><strong><span style="color: #222222;"><span style="font-family: 'Aptos', serif;"><span style="aptos: Arial, serif;"><span style="font-size: medium; font-family: 'Aptos', serif;"><span style="color: #000000;">The</span></span></span><span style="aptos: Arial, serif;"><span style="font-size: medium; font-family: 'Aptos', serif;"><span style="color: #000000;"> GPH-INTERNATIONAL JOURNAL OF MATHEMATICS (E-ISSN 2795-3278 P-ISSN 2795-3274) </span></span></span><span style="helvetica: Arial, serif;"><span style="font-size: medium; font-family: 'Book Antiqua', serif;"><span style="color: #000000;">is an open-access journal that publishes research articles, reviews, case studies, guest-edited thematic issues, and short communications/letters in all areas of mathematics, applied mathematics, applied commutative algebra, and algebraic geometry, mathematical biology, physics and engineering, theoretical bioinformatics, experimental mathematics, etc</span></span></span></span></span>.<span style="font-size: medium;"> <a title="Journal Impact Factor" href="http://www.gphjournal.org/index.php/index/jif"><span style="color: #222222;"><span style="font-family: 'Book Antiqua', serif;"><span style="helvetica: Arial, serif;"><span style="color: #000000;"><span style="font-size: 1.5em;"><span style="text-shadow: #FF0000 0px 0px 2px;">Impact Factor: 1.114</span></span></span></span></span></span></a></span></strong></p>GLOBAL PUBLICATION HOUSEen-USGPH - International Journal of Mathematics<p>Author(s) and co-author(s) jointly and severally represent and warrant that the Article is original with the author(s) and does not infringe any copyright or violate any other right of any third parties, and that the Article has not been published elsewhere. Author(s) agree to the terms that the <strong>GPH Journal</strong> will have the full right to remove the published article on any misconduct found in the published article.</p>ON THE NORM OF JORDAN ELEMENTARY OPERATOR IN TENSOR PRODUCT OF C*-ALGEBRAS
https://gphjournal.org/index.php/m/article/view/1251
<p><strong>The norm property of different types of Elementary operators has attracted a lot of researchers due to its wide range applications in functional analysis. From available literature the norm of Jordan elementary operator has been determined in C*-algebras, JB*-algebras,standard operator algebra and prime JB*-triple but not much has been done in tensor product of C*-algebras. This paper, dealt with the norm of Jordan elementary operator in a tensor product of C*-algebras. More precisely, the paper investigated the bounds of the norm of Jordan elementary operator in a tensor product of C*-algebras and obtained that <img src="/public/site/images/fran/formula.PNG"></strong><strong>The concept of finite rank operator and properties of tensor product of Hilbert spaces and operators and vectors in Hilbert spaces were used to achieve the paper’s objective.</strong></p>Peter Guchu MuiruriDenis Njue King'ang'iSammy Wabomba Musundi
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2024-03-062024-03-06703011010.5281/zenodo.10794296EFFICIENT COMPUTATION OF THE M-CLOSURE FOR SOLVABLE PERMUTATION GROUPS
https://gphjournal.org/index.php/m/article/view/1275
<p><strong>This research presents a novel approach to efficiently compute the m-closure of solvable permutation groups of degree n. The m-closure is an essential concept in group theory, particularly in understanding the structure and properties of permutation groups. We propose an algorithm that constructs the m-closure with a time complexity of n<sup>O</sup><sup>(m)</sup>, significantly improving the computational efficiency compared to existing methods. Through rigorous mathematical analysis and computational experiments, we demonstrate the effectiveness and scalability of our approach.</strong></p>Tombotamunoa W. J. LawsonUdo-Akpan, ItoroUbom
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2024-03-172024-03-17703111810.5281/zenodo.10827540ENHANCE CANONICAL IMAGE COMPUTATION FOR FINITE PERMUTATION GROUPS USING GRAPH BACKTRACKING
https://gphjournal.org/index.php/m/article/view/1276
<p><strong>In this paper, we present a novel algorithm for efficiently computing canonical images of objects under the action of finite permutation groups. Our approach builds upon previous work utilizing Graph Backtracking, an extension of Jeffrey Leon's Partition Backtrack framework. By generalizing both Nauty and Steve Linton's Minimal Image algorithm, our method achieves significant improvements in computational efficiency and accuracy. We introduce a systematic exploration of the permutation group structure to guide the canonical image computation process, resulting in enhanced performance compared to existing methods. Through rigorous theoretical analysis and empirical evaluation, we demonstrate the effectiveness and scalability of our algorithm across diverse application scenarios.</strong></p>Sampson, Marshal ImehFelix Asuquo EfiongEno JohnStephen I. Okeke
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2024-03-172024-03-17703193310.5281/zenodo.10827580Effects of Algebra Tiles Teaching Approach on Students Achievement in Quadratic Equation in FCT Abuja, Nigeria
https://gphjournal.org/index.php/m/article/view/1283
<p><strong>This study investigated the effect of Algebra Tiles Teaching Approach on students’ achievement in quadratic equation in the Federal Capital Territory, Abuja. Two research questions and two null hypotheses guided the study. The study adopted a quasi-experimental research design (intact class, pre-test, post-test control group design). A sample size of 122 Senior Secondary School students made up of 64 SS 2A students drawn from Government Secondary School Gwagwalada; and 58 SS 2A students, drawn from Government Secondary School, Kwali. “Quadratic Equation Achievement Test (QEAT)” containing 20 Multiple Choice Test items was developed to elicit data for the study. Mean scores and standard deviation were used to answer the research questions; while t-test was used to test the null hypotheses. The findings of the study revealed that students taught quadratic equation using Algebra Tiles Teaching Approach had higher mean achievement scores than their counterparts taught using conventional teaching method. Also, the study found that there is a significant difference between the mean achievement scores of male and female students taught quadratic equation using Algebra Tiles Teaching Approach. The study concluded that Algebra Tiles Teaching Approach had significant effect on students’ achievement in quadratic equation in public senior secondary schools in FCT, Nigeria. It was recommended that mathematics teachers should create more time for extension classes in preparation for internal and external examinations. As this will enhance students’ academic achievements.</strong></p>Gidado, Bello KumoAbdullahi, Mohammed KatchaNwabueze, Maria Uchenna
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2024-03-212024-03-21703344610.5281/zenodo.10850654