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ANALISIS PERPINDAHAN PENGGUNAAN APLIKASI TRANSPORTASI ONLINE MENGGUNAKAN RANTAI MARKOV Salmun K. Nasib; Nurwan Nurwan; I Wayan Can Aryasandi; Isran K. Hasan; Asriadi Asriadi
Jurnal Matematika UNAND Vol 13, No 1 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.1.26-40.2024

Abstract

The purpose of this study is to find out the opportunities for switching to the use of online transportation applications and predict the future use of online transportation applications by Gorontalo State University students using the Markov chain. The data used in this study are primary data obtained through questionnaires. The results of the prediction of the proportion for future market share show that the proportion of users of the Maxim transportation application is 82.89%, Grab is 7.75%, Gojek is 5.06% and InDriver is 4.48%.
Reformulasi dan Pembuktian Teorema Menelaus menggunakan Variabel Kompleks Deny Ardika Prasetyo; Asriadi; Lailany Yahya
Research Review: Jurnal Ilmiah Multidisiplin Vol. 5 No. 1 (2026): Research Review: Jurnal Ilmiah Multidisiplin (Februari 2026 - Juli 2026)
Publisher : Transbahasa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54923/researchreview.v5i1.340

Abstract

This study aims to reformulate and prove Menelaus’s Theorem using a complex variable approach. In classical Euclidean geometry, Menelaus’s Theorem states that three points, each lying on a side or the extension of a side of a triangle, are collinear if and only if the product of the ratios of the lengths of the resulting line segments equals one. Through a complex algebraic approach, this study systematically reorganizes the proof of the theorem and represents the geometric structure of triangles and straight lines in the complex plane. The representation of points and line segments, along with the use of fundamental properties such as conjugates and modulus, is employed to prove the theorem analytically. The findings of this study confirm that the use of complex variables provides an efficient analytical framework for deriving geometric proofs, resulting in a more systematic logical flow compared to the classical geometric approach. This study offers a new perspective on the development of modern geometry and opens up opportunities for further exploration in the application of complex variables to solve other geometric problems.