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All Journal Jurnal Matematika UNAND Jurnal Saintika Unpam : Jurnal Sains dan Matematika Unpam InPrime: Indonesian Journal Of Pure And Applied Mathematics Majalah Ilmiah Matematika dan Statistika (MIMS) Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Jurnal Eurekamatika Journal of Fundamental Mathematics and Applications (JFMA) Prosiding Seminar Nasional Pengabdian Kepada Masyarakat JMT (Jurnal Matematika dan Terapan)
Mahatma, Yudi
Universitas Negeri Jakarta
Humanities Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Environmental Science Industrial & Manufacturing Engineering Mathematics Physics Public Health Other

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Journal : JMT (Jurnal Matematika dan Terapan)

 1 
Penentuan Derajat Optimum Interpolasi pada Metode Lagrange dan Metode Newton Gregory dalam Mengestimasi Kasus Pasien Sembuh dari Covid-19 di Indonesia Muhammad Julian; Lukita Ambarwati; Yudi Mahatma
JMT : Jurnal Matematika dan Terapan Vol 4 No 1 (2022): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.4.1.2

Abstract

Estimation is one method for approximation. The estimation method is the polynomial interpolation. Once of polynomial interpolation are Lagrange method and Newton Gregory method. In several references, the degrees of interpolation which is used on the Lagrange method or Newton Gregory method depends on the numbers of data. This paper was created to knowing the optimum degrees to interpolate 61 numbers of data. In this paper, points are determined to interpolate so that formed intervals of equal length. As for the degrees to be tested, namely degrees 2,4,5,10, and 20. Based on MAPE and MSE values for degree 2 are lower than degrees 4,5,10 and 20 in both methods so that the interpolation of the Lagrange and Newton Gregory degrees 2 is better than degrees 4,5,10, and 20.
Perbandingan Metode Perhitungan Jarak Euclidean dengan Perhitungan Jarak Manhattan pada K-Means Clustering Dalam Menentukan Penyebaran Covid di Kota Bekasi Faisal Nur Cahya; Yudi Mahatma; Siti Rohmah Rohimah
JMT : Jurnal Matematika dan Terapan Vol 5 No 1 (2023): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.5.1.5

Abstract

Clustering is a method of grouping in an information database based on certain conditions. The research applies the k-means clustering calculation problem with the euclidean distance calculation approach with the manhattan distance calculation. The method formed aims to compare in terms of the working process between the calculation of the Euclidean distance with the calculation of the Manhattan distance. The result is a comparison of the distance calculation between the distance calculation euclidean and the distance calculation manhattan in terms of the work process to be able to determine the center points of the spread of the covid disease from the comparison of the distance calculation Euclidean and the distance calculation Manhattan. The calculation results obtained are the K-Means calculation with the euclidean distance calculation approach, the number of iterations is 15 times, while by using the manhattan distance calculation, the number of iterations is 7 times. So it is concluded that in terms of processing manhattan is faster than euclidean. The calculation results obtained are the results of calculations from Covid-19 data in Bekasi City up to September 1, 2021.
Implementasi Metode ARIMA-GARCH Terhadap Peramalan Konversi Mata Uang Yen ke Rupiah Bintang Sirius; Widyanti Rahayu; Yudi Mahatma
JMT : Jurnal Matematika dan Terapan Vol 5 No 2 (2023): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/https://doi.org/10.21009/jmt.5.2.4

Abstract

Buying and selling transactions are always used by humans to meet their needs. One of the transaction tools used is money. Each country has its own currency including Japan, with Yen continues to experience a significant decline throughout April 2022 exceeding 5-10%. Therefore, it is necessary to anticipate the rate of increase/decrease in Yen. After testing and forecasting, it was concluded that the most appropriate model for analyzing the data in this study was the ARIMA(3,1,3) - GARCH (1,1) model. This is because the model can overcome the homogeneity of the data. The conversion of Yen to Rupiah currency from August 2022 to July 2023 can be predicted to have fluctuations, and produce a MAPE value of 19.29%, which indicates that the precision level of the ARIMA(3,1,3) - GARCH(1,1) is good enough to use for the conversion data.
Graph Representation for the Solutions of Pythagorean Equation over the General Linear Group GL₂ (ℤ₂ ) Mahatma, Yudi; Hadi, Ibnu; Sudarwanto, Sudarwanto; Agustine, Debby
JMT (Jurnal Matematika dan Terapan) Vol. 7 No. 1 (2025): JMT (Jurnal Matematika dan Terapan)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Science, Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.7.1.1

Abstract

In 2023, Hadi et al. found the solvability of the Fermat equation over the general linear group GL2(Zp) for p=2 and p=3. In particular, for Pythagorean equation over GL2(Z2) there are 12 solutions. In this research, we represent the set solutions as a graph and investigate the properties.
Co-Authors Agusfrianto, Fakhry Asad Agustine, Debby Andita Sulistyaningrum Annisaa Prima Hayati Binastya Anggara Sekti Bintang Sirius Dea Febriliana Fajri Debby Agustine Debby Agustine Faisal Nur Cahya Fakhry Asad Agusfrianto Fitriani Fitriani Ibnu Hadi Ibnu Hadi Lorensya Lorensya Lukita Ambarwati Lukita Ambarwati Muhammad Eka Suryana Muhammad Julian Nadilla Okta Permitasari Pratiwi, Rifa Khairunnisa Sandrina Widya Andani Siti Rohmah Rohimah Sudarwanto, Sudarwanto Syarifah Ayu Angela Tiara Nabila Vera Maya Santi Widyanti Rahayu Wiraningsih, Eti Dwi Zainati, Dini