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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Kontinu: Jurnal Penelitian Didaktik Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Tensor: Pure and Applied Mathematics Journal MOVE: Journal of Community Service and Engagement Jurnal Matematika Integratif Indonesian Journal of Statistics and Its Applications
RUMLAWANG, FRANCIS YUNITO
MATHEMATIC DEPARTMENT FACULTY OF MATHEMATICS AND NATURAL SCIENCES UNIVERSITY OF PATTIMURA
Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Physics Transportation Other

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Notes on 2-Normed Spaces Through Their Quotient Spaces Francis Yunito Rumlawang; Hernita Hernita; Yopi Andry Lesnussa; Harmanus Batkunde
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.35824

Abstract

In this paper, we defined new norms in 2-normed spaces derived from the 2-norm with respect to its quotient spaces. Moreover, these norms were used to observe some aspects of 2-normed spaces namely, a Convergent sequence, a Cauchy sequence, completeness, a closed set, and a bounded set. Furthermore, we used these aspects to prove the Fixed-Point Theorem in a 2-Banach Space.
PEMODELAN PENGARUH IKLIM TERHADAP ANGKA KEJADIAN DEMAM BERDARAH DI KOTA AMBON MENGGUNAKAN METODE REGRESI GENERALIZED POISSON Ferry Kondo Lembang; Eysye Alchi Nara; Francis Yunito Rumlawang; Mozart Winston Talakua
Indonesian Journal of Statistics and Applications Vol 3 No 3 (2019)
Publisher : Statistics and Data Science Program Study, SSMI, IPB University, in collaboration with the Forum Pendidikan Tinggi Statistika Indonesia (FORSTAT) and the Ikatan Statistisi Indonesia (ISI)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/ijsa.v3i3.474

Abstract

Dengue Hemorrhagic Fever (DHF) is one of the dreaded diseases of the transition season. DHF is a disease found in tropical and subtropical regions that caused by Dengue virus which is transmitted through Aedes mosquitoes. According to the World Health Organization (WHO) data, it is stated that Indonesia is the country with the highest dengue fever case in Southeast Asia. The incidence of dengue fever in Indonesia tends to increase in the middle of the rainy season, and one of the regions in Indonesia with the high level of rainfall intensity is Ambon City. DHF cases in Ambon city increase from year to year due to the last five years the intensity of rainfall is very high. Therefore, this study aims to identify climate factors that affect the incidence of DHF in Ambon City by using Generalized Poisson Regression method. Generalized Poisson Regression is appropriately considered to analyze the causing factors DHF incidence because the rating case of DHF is usually the count data that following the Poisson distribution. The results showed that the smallest AIC value for the Generalized Poisson Regression model was 75.842 with significant variables is DHF in the city of Ambon were one month earlier, air humidity, rainfall, and air humidity two months earlier.
Aplikasi Metode Adams Bashforth Moulton Dalam Memprediksi Pertumbuhan Penduduk Di Kota Ambon Fikram Radjab; Francis Yunito Rumlawang
Tensor: Pure and Applied Mathematics Journal Vol 6 No 2 (2025): Vol 6 No 2 (2025): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol6iss2pp121-130

Abstract

The increasing population in Ambon City can cause various problems both social and environmental problems such as lack of residential land, clean water needs, transportation problems to health. This study is to examine the increasing population of Ambon City, this study will also predict the population in Ambon City in the following year using historical data using the fourth-order Adams Bashforth Moulton method approach from Verhulst modeling. This research produces accurate forecasting with a very small relative error value, with an area of 377km2 and a predicted population of 372,725 in 2030. The Adams Bashforth Moulton method as a Verhulst model is very effective for decision making in predicting population growth in Ambon City.
External Didactic Transposition of the Definite Integral Concept Francis Yunito Rumlawang; Tanwey Gerson Ratumanan; Christina M Laamena
JURNAL PENDIDIKAN MATEMATIKA Vol. 10, No. 1: May 2026
Publisher : Universitas Islam Sultan Agung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30659/kontinu.10.1.208-221

Abstract

Calculus is a course included in the undergraduate curriculum of most science and engineering departments, including mathematics education. The definite integral is a fundamental concept in calculus, formally defined as the limit of a Riemann sum. However, in teaching practice, this concept is often reduced to a computational procedure using the fundamental theorem of calculus without emphasizing the meaning of the limit and the approximation process. This study aims to analyze the external didactic transposition of the concept of the definite integral as the limit of a Riemann sum, specifically, and to examine the alignment of Scholarly Knowledge and  Knowledge to be Taught based on textbooks and curriculum documents. The research method used is a qualitative descriptive approach. This type of research is descriptive. The results of the study indicate that there is consistency between Scholarly Knowledge and Knowledge to be Taught, as reflected in textbooks and semester learning plan (RPS) documents in the curriculum, regarding the concept of definite integrals. However, given the time allotted for the learning process, simplifications may occur, potentially reducing students’ learning experiences. Keywords: external didactic transposition, definite integral, Riemann sum
Co-Authors A. Z. Wattimena Abraham Zakharia Wattimena Alva Grace Naraha Batkunde, Harmanus Charlita Fhilya Christina M Laamena Citra Fathia Palembang Endro Risamasu Eysye Alchi Nara Fandy Sanudin Ferry Kondo Lembang Fikram Radjab Green Kenny Sarimanella H. W. M. Patty Harmanus Batkunde Hernita Hernita Jefri Esna Thomas Radjabaycolle Meilin Imelda Tilukay Nanang Ondi Ondi, Nanang Patty, Dyana Patty, Henry Willyam Michel Rijoly, Monalisa E. SAMPELILING, TRIFENA Talakua, Mozart Winston Tanwey Gerson Ratumanan Tomasouw, Berny Pebo Yopi Andry Lesnussa Zeth Arthur Leleury, Zeth Arthur