Earthline Journal of Mathematical Sciences <p style="text-align: justify;">The Earthline Journal of Mathematical Sciences (E-ISSN: 2581-8147) is a peer-reviewed international journal devoted to publishing original research papers containing substantial contributions in any direction of Pure and Applied Mathematics, Theoretical and Applied Statistics, Theoretical Computer Science, Mathematical Modelling. Applications of Mathematics in Finance and Economics are also welcome.</p> Earthline Publishers, Madanambedu, Chittoor, Andhra Pradesh, India en-US Earthline Journal of Mathematical Sciences 2581-8147 <p><img src=""><br>This work is licensed under a&nbsp;<a href="" rel="license">Creative Commons Attribution 4.0 International License</a>.</p> A New Generalization of the Half-Logistic Model using the Transformed-Transformer Approach with Application to Wind Speed Sample from Nigeria <p>In this paper, a new generalization of the half-logistic distribution was introduced and called the ‘Odd Weibull Exponentiated Half-Logistic Distribution (OWEHLD)’. The OWEHLD was realized by using the Weibull distribution to transform the exponentiated half-logistic distribution using the quantile function of the log-logistic distribution or the odd ratio as link. This approach for generalizing the half-logistic distribution is the so-called ‘transformed-transformer approach’. Several mathematical properties of the OWEHLD were derived and studied and the maximum likelihood estimation method was employed in estimating its parameters. Real life data sets including a wind speed sample from Nigeria were further used to test the applicability of the new distribution.</p> K. F. Ojarigho P. Osatohanmwen C. O. Odijie F. O. Oyegue A. Iduseri E. M. Ogbeide Copyright (c) 2023-10-05 2023-10-05 14 1 1 21 10.34198/ejms.14124.001021 Some Basic Properties of QIFSN(G) <p>In this paper, as using norms (<em>T</em> and <em>C</em>), we introduce the concepts of strongest relations, cosets and middle cosets of <em>Q</em>-intuitionistic fuzzy subgroups and prove some simple but elegant results about them. Also we discuss few results of them under homomorphism as well as anti homomorphism.</p> Amir Shomali Rasul Rasuli Copyright (c) 2023-10-10 2023-10-10 14 1 23 40 10.34198/ejms.14124.023040 A New Distribution for Modeling both Blood Cancer Data and Median Effective Dose (ED50) of Artemether-Lumefantrine against P. falciparum <p>In this paper, a novel distribution was proposed for modeling data on Leukemia and median effective dose (ED50) of Artemether-Lumefantrine against Plasmodium falciparum. Plasmodium falciparum or P. falciparum is one of the protozoan species that causes malaria. In the treatment of malaria, especially in sub-Saharan Africa Artemether-Lumefantrine dominates the hospitals. The ED50 (median effective dose) is the dose of a medication that produces a specific effect in 50\% of the population that takes that dose. The new distribution has three parameters that make it both flexible and tractable. The distribution is called the Gompertz-Lindley distribution. The model's hazard function behavior was presented together with the properties of the proposed distribution. The parameters were estimated using the method of maximum likelihood. From the analysis, the Gompertz-Lindley distribution is better than the competing standard distribution in the instances of the two data sets deployed.</p> Bright Chimezie Nwankwo Joan Nmesoma Orjiakoh Mmesoma P. Nwankwo Ejiofor Innocent Mary Ifedibalu Chukwu Okechukwu J. Obulezi Copyright (c) 2023-10-13 2023-10-13 14 1 41 62 10.34198/ejms.14124.041062 Rotation Matrix and Angles of Rotation in the Polar Decomposition <p>This paper aims at computing the rotation matrix and angles of rotations using Newton and Halley’s methods in the generalized polar decomposition. The method extends the techniques of Newton’s and Halley’s methods for iteratively finding the zeros of polynomial equation of single variable to matrix rotation valued problems. It calculates and estimates the eigenvalues using Chevbyshev’s iterative method while computing the rotation matrix. The sample problems were tested on a randomly generated matrix of order &nbsp;from the family of matrix market. Numerical examples are given to demonstrate the validity of this work.</p> Stephen Ehidiamhen Uwamusi Copyright (c) 2023-10-24 2023-10-24 14 1 63 74 10.34198/ejms.14124.063074 Dual Stratification Effects on Mixed Convective Electro-magnetohydrodynamic Flow over a Stretching Plate with Multiple Slips and Cross Diffusion <p>This paper analyzed the effects of dual stratification on mixed convective electro-magnetohydrodynamic flow over stretching plates with multiple slips. With the aid of the similarity transformation technique were, the governing boundary equations, that were partial differential equations, were changed to a couple of ordinary differential equations and then solved with fourth order Runge Kutta method and Newton’s Raphson shooting techniques. It was observed that the magnetic field, Buoyancy ratio, permeability, momentum slip parameters, Dufour, Soret and Brinkmann numbers made the thermal boundary layer thickness to increase but the solutal stratification, electric field, chemical reaction, solutal slip, suction, thermal slip and thermal stratification parameters, Prandtl, Richardson and Lewis number decreased the thickness of the thermal boundary layer. The Buoyancy ratio, permeability, momentum slip, thermal slip and thermal stratification parameters and Soret number enhanced the solutal boundary layer thickness.</p> Mike Baako Christian John Etwire Golbert Aloliga Yakubu Ibrahim Seini Copyright (c) 2023-11-04 2023-11-04 14 1 75 103 10.34198/ejms.14124.075103 Coefficient Bounds for a New Families of m-Fold Symmetric Bi-Univalent Functions Defined by Bazilevic Convex Functions <p>In this paper, we find upper bounds for the first two Taylor-Maclaurin $\left|a_{m+1}\right|$ and $\left|a_{2m+1}\right|$ for two new families $L_{\Sigma_m}(\delta, \gamma ; \alpha)$&nbsp;and $L_{\Sigma_m}^{*}(\delta, \gamma ; \alpha)$ of holomorphic and $m$-fold symmetric bi-univalent functions associated with the Bazilevic convex functions defined in the open unit disk $U$. Further, we point out several certain special cases for our results.</p> Bedaa Alawi Abd Abbas Kareem Wanas Copyright (c) 2023-11-11 2023-11-11 14 1 105 117 10.34198/ejms.14124.105117 A Lightweight Algorithm for Detecting Fake Multimedia Contents on Social Media <p>The significant growth of the fourth industrial revolution (Industry 4.0) coupled with the widespread adoption of social media across the world has initiated new challenges that deserve the attention of researchers and industry leaders especially in detecting and preventing fake multimedia contents on social media. The forging of multimedia contents like videos and images for malicious activities is gradually becoming very rampant and this has serious psychological, health, political and economic consequences on the targeted individuals or close associates of the victims. The application of deepfake algorithms to make manipulated videos and images has contributed in making it very difficult to identify fake videos and images from the real multimedia contents. The availability of the internet and social media has made the spread of deepfake videos and images very fast and at an alarming rate. This research work understanding the dire need to detect deepfake videos and images (multimedia contents) proposes a lightweight algorithm to detect deepfake videos and images on social media platforms. The need for a lightweight algorithm is essential to enable low computational devices to be able to apply the algorithm without computational challenges and overheads. The proposed model has demonstrated a significant reduction in the computational and time &nbsp;complexities. The research work also presented a comparative analysis of some selected deep learning models with emphasis on the datasets used, their features and challenges identified.</p> Arnold Mashud Abukari Jhansi Bharathi Madavarapu Edem Kwedzo Bankas Copyright (c) 2023-11-16 2023-11-16 14 1 119 132 10.34198/ejms.14124.119132 Predicting Functional Outcome After Ischemic Stroke Using Logistic Regression and Machine Learning Models <p>This research employed binary logistic regression and machine learning techniques; Decision Tree, Random Forest, and Support Vector Machine (SVM), to predict functional outcomes following ischemic stroke. The main goal was to determine the most suitable model for the dataset through a comprehensive performance evaluation. Four models were examined for predicting post-ischemic stroke functional outcomes: Decision Tree, Random Forest, Logistic Regression, and SVM. The evaluation involved metrics such as Accuracy, Precision, F1-Score, and Recall. The Logistic Regression model achieved the highest accuracy at 90%, accurately predicting outcomes in 90% of cases. However, it had lower precision (50%), indicating an increased rate of false positive predictions. On the other hand, the SVM model displayed the highest precision (71.3%), implying fewer false positive predictions. It also attained the highest F1-Score (77.5%), indicating a strong balance between precision and Recall compared to the other models. Notably, the Logistic Regression model achieved perfect Recall (100%), correctly identifying all positive outcomes, while the Random Forest model showed significant recall performance (93.2%). Conversely, the Decision Tree model exhibited moderate accuracy (66.11%) but lower precision (66%), F1-Score (6.15%), and recall (3.2%), suggesting challenges with false positives and false negatives. Choosing the best model depends on analysis priorities. For accurate identification of positive outcomes, the Logistic Regression model's perfect recall is advantageous. For balanced performance, the SVM model's high F1-Score makes it a compelling option.</p> Grace Chinwe Okoye Edith Uzoma Umeh Copyright (c) 2023-11-17 2023-11-17 14 1 133 150 10.34198/ejms.14124.133150 The $(\psi,\varphi)$-Generalized Weakly Reich Contraction Mapping Theorem <p>In this paper we introduce a concept of $(\psi, \varphi)$-generalized weakly Reich contraction mapping and obtain a fixed point theorem. Some corollaries are consequences of the main result.</p> Clement Boateng Ampadu Copyright (c) 2023-11-27 2023-11-27 14 1 151 159 10.34198/ejms.14124.151159 Multiple Split Equality Problem and Convergence Result <p>Let H<sub>i</sub> (where i = 1, ..., m) be Hilbert spaces, and let H be another Hilbert space. Let A<sub>i</sub>: H<sub>i</sub> ----&gt; H be bounded linear operators for i = 1, ..., m. We introduce the Multiple Split Equality Problem (MSEP), provide an algorithm for constructing a solution to MSEP, and establish the strong convergence of the algorithm to such a solution.</p> Agatha Chizoba Nnubia Austine Nduaguibe Ofodile Ugochukwu Chika Moore Copyright (c) 2023-11-29 2023-11-29 14 1 161 173 10.34198/ejms.14124.161173