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Jambura Journal of Mathematics
ISSN 2654-5616 · Department of Mathematics, Universitas Negeri Gorontalo · 193 artikel di indeks
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Deret Maclaurin Turunan Fraksional Fungsi Inverse Trigonometri dan Radius Kekonverganannya
Fractional derivatives are a generalization of ordinary derivatives to non-integer or fractional orders. This study presents the fractional derivatives of inverse trigonometric functions (arcsin, arccos, and arctan) with the order constraint 0 α ≤ 1 . These inverse trigonometric functions are…
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Implementasi Metode Extreme Value Theory untuk Menghitung Maksimal Kerugian Akibat Bencana Alam
This study employs Extreme Value Theory (EVT) using the Block Maxima (BM) approach and the Generalized Extreme Value (GEV) distribution to model and estimate the potential maximum financial losses caused by natural disasters in Central Java, Indonesia. Historical loss data from 2022 are utilized to…
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A Four-Step High-Order Iterative Method for Nonlinear Equations with Scientific Applications
In this paper, we propose a new four-step iterative method for solving nonlinear equations based on a predictor–corrector framework that combines Newton’s, Ostrowski’s, and Householder’s methods. To avoid explicit evaluation of higher derivatives, particularly the second derivative, polynomial…
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A Hybrid Grey Wolf Optimizer–Zebra Optimization Algorithm for Solving Optimization Problems
Metaheuristic algorithms are widely applied to complex optimization problems, yet many suffer from premature convergence or slow search efficiency. To report these limitations, this paper proposes a new hybrid algorithm, Grey Wolf Optimizer–Zebra Optimization Algorithm (GWO–ZOA). The algorithm…
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An Integrated K-Means++–Davies–Bouldin Index Approach for Educational Resource-Based District Clustering: A Case Study of Districts in Surabaya
Equitable distribution of educational resources is an important prerequisite to ensure that all communities benefit from human resource development. Access to education through the availability of schools and teachers at every level, plays a role in reducing the gap between regions. This study aims…
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Lattices Constructions for Euclidean Space Rn and its Subspaces
A lattice is a discrete subgroup of n-dimensional Euclidean space that serves as a fundamental object of study in Algebra and the Geometry of Numbers. This structure has significant applications in various fields, particularly in lattice-based cryptography and coding theory. This paper aims to…
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Estimasi Cadangan Klaim Individu untuk Klaim Short-Tailed dan Long-Tailed Menggunakan Algoritma Backpropagation
In insurance, risk can occur at any time, causing claims to sometimes have a large amount of value, so that insurance companies may not be able to satisfy claim payments. If these situations occur, insurance companies need claim reserves to prepare for such events. There are several methods to…
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Parameter Estimation of Generalized Modified Weibull Using the Maximum Likelihood on Simulation and Real-World Data
This study estimates parameters of the generalized modified Weibull (GM Weibull) distribution using the Maximum Likelihood Estimation (MLE) method with the Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm. The GM Weibull distribution, which includes four parameters (lambda, theta, phi, tau)…
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Analisis Kinerja dan Efisiensi Energi k-means dan Gaussian Mixture Model Terdistribusi pada Klaster Single Board Computer dan Personal Computer dengan Apache Spark
This study aims to evaluate the performance and energy efficiency of distributed unsupervised learning algorithms on two types of clusters, namely Single Board Computers (SBC) and Personal Computers (PC), using Apache Spark. Two algorithms were tested—k-means and Gaussian Mixture Model…
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Pelabelan Prima pada Kelas Graf Hasil Operasi Perkalian Tensor
A graph with a vertex set is said to be a prime graph if there exists a bijective mapping , where denotes the number of vertices in , such that for any two adjacent vertices and in have . Tensor Product graph is a way to combine (compose) two graphs into one larger and more complex graph. The…
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Application of the Laguerre Perturbed Galerkin Analysis Method for Solving Higher-Order Integro-Differential Equations
This study presents the development and implementation of a novel numerical method, the Laguerre Perturbed Galerkin (LPG) method, for solving higher-order integro-differential equations. The method leverages the advantages of Laguerre polynomials as basis functions while incorporating Chebyshev…
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Comparative Analysis of Hierarchical Cluster Methods in Inflationary Cities in Indonesia Based on Sectoral Inflation Patterns
This study aims to assess the performance of single linkage, complete linkage, and average linkage hierarchical clustering algorithms in grouping cities used as inflation benchmarks in Indonesia into clusters based on sectoral inflation patterns. The data utilized are 150 regencies/cities divided…
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Pemodelan Faktor Risiko Stunting Berbasis Titik Menggunakan Geographically Weighted Logistic Regression di Kabupaten Bone Bolango
Stunting remains a major public health issue in Indonesia, including in Kabupaten Bone Bolango, which recorded a high prevalence in 2023. Variations in social, economic, and environmental conditions across observation locations indicate the need for analyses that account for spatial differences…
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Mev-polynomial and K Banhatti Indices of Some Hat-graphs
A graph polynomial that has taken several attentions is M-polynomial due to it's significant a considerable number of studies have been conducting on it, moreover some other versions of this polynomial have been defined. In this paper an new version of M-polynomial is presented that will be known…
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Latent Markov Modeling of HIV Vulnerability Transitions Among Adolescent Girls and Young Women in Zimbabwe
This study uses applied Latent Markov modeling (LMM) to assess longitudinal transitions in HIV vulnerability among adolescent girls and young women (AGYW) enrolled in the Determined, Resilient, Empowered, AIDS-free, Mentored, and Safe (DREAMS) program across nine districts in Zimbabwe, from October…
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Modeling and Optimizing State-Based Electricity Consumption Distributions in Dodoma Region, Tanzania Using Hidden Markov Models
The aim of this study is to model and optimize state-based Electricity Consumption Distributions in Dodoma Region, Tanzania using Hidden Markov Models. The research is specifically aimed at the identification of hidden consumption states, and the determination of the best number of hidden states to…
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Optimal IDX30 Stock Portfolio Construction Using a Two-Constraint Mean-Variance Model with Robust S-Estimation
The capital market plays an important role in the economy by providing investment instruments for investors and financing sources for companies. A capital market portfolio consists of a collection of financial assets, such as stocks, constructed to achieve an optimal return while reducing…
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On Deformed-Metric Equivalence of Hilbert Space Operators
This paper introduces and studies a novel class of equivalence relations in operator theory, called deformed-metrically equivalent operators. Two operators S and T in B(H) are said to be deformed-metrically equivalent if there exists a positive operator P such that SPS = TT. This definition…
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Joint Life Long-Term Care Insurance: A Semi-Markov Multi-State Model Integrating LTC Prevalence and Mortality Trends
This study develops a two-person joint-life long-term care (LTC) insurance pricing framework for married couples by incorporating mortality and LTC risks within a semi-Markov-inspired multi-state model. The transition intensity structure accounts for Gompertz mortality, potential common-shock…
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A Construction of a Smooth Travel Groupoid on a Spanning Tree Associated with Lotus Graphs
A travel groupoid is a binary system associated with a graph through an operation on its vertex set, while a smooth travel groupoid satisfies an additional smoothness condition. In this paper, we construct a smooth travel groupoid on a particular spanning tree associated with the lotus graph L(n)…