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Ni Wayan Switrayni
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INDONESIA
EIGEN MATHEMATICS JOURNAL
Published by Universitas Mataram
ISSN : 26153599     EISSN : 26153270     DOI : -
Core Subject : Education,
Eigen Mathematics Journal mempublikasikan artikel yang berkontribusi pada informasi baru atau pengetahuan baru terkait Matematika, Statistika, dan Aplikasinya. Selain itu, jurnal ini juga mempublikasikan artikel berbentuk survey dalam rangka memperkenalkan perkembangan terbaru dan memotivasi penelitian selanjutnya dalam bidang matematika, statistika, dan aplikasinya.
Arjuna Subject : -
Articles 2 Documents
Search results for , issue "Vol 9 No 1 (2026): June" : 2 Documents clear
Comparison of Cluster Average Linkage and K-Means Analysis Methods for Poverty Grouping in The Nusa Tenggara Area Alimuddin, Muhammad; Harsyiah, Lisa; Baskara, Zulhan Widya
Eigen Mathematics Journal Vol 9 No 1 (2026): June
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v9i1.243

Abstract

Poverty is a problem that often occurs and is a fundamental problem in almost all developing countries, including Indonesia. The Nusa Tenggara region consists of two administrative regions, namely the Provinces of West Nusa Tenggara (NTB) and East Nusa Tenggara (NTT) which have high poverty rates. The increase in the number of poor people was caused by several indicators such as environmental conditions, education, income, health, access to goods and services, and others. The purpose of this research is to determine the best method in the process of classifying poverty with the cluster analysis method. The methods used in this study are the average linkage and K-Means cluster analysis methods, as well as the silhouette index method in terms of cluster validation to obtain the best cluster analysis method. The data used is poverty data for the Nusa Tenggara Region in 2021 which includes four poverty sectors, namely employment, education, health, and housing and the environment. Based on the research results, the best method for grouping is the K-Means cluster analysis method by forming three clusters where the first cluster consists of 3 districts/cities, the second cluster consists of 22 districts/cities, and the third cluster consists of 7 districts/cities. The K-Means cluster analysis method is the best method with the highest silhouette index value of 0.28, higher than the average linkage method which obtained a silhouette index value of 0.27.
On the Iterated Cevian Triangle in Finite Euclidean Space Arfah, Arfah
Eigen Mathematics Journal Vol 9 No 1 (2026): June
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v9i1.336

Abstract

This paper investigates the iterative process of constructing Cevian triangles in a finite Euclidean plane. First, we prove that starting from an initial triangle, the process of iteratively taking Cevian triangles converges to a unique fixed point. Second, we show this convergence process is surjective onto the interior of the triangle; that is, for any target point in the interior, one can find an initial point whose sequence of iterated Cevian triangles converges to that target. Finally, we examine the limiting configuration of an infinite iteration and characterize a novel property intrinsic to the discrete nature of the finite geometric space, setting it apart from the classical real Euclidean case.

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