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Journal of Mathematics: Theory and Applications
Published by Universitas Sulawesi Barat
ISSN : 26859653     EISSN : 27222705     DOI : https://doi.org/10.31605/jomta
Core Subject : Education,
Mathematics
JOMTA Journal of Mathematics Theory and applications is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in the research. JOMTA Journal of Mathematics Theory and applications disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications. The scope of the articles published in this journal deal with a broad range of mathematics topics, : Numerical Analysis Modeling and Simulation Logic Geometry and Topology Discrete Mathematics and Combinatorics Control and Optimization Applied Mathematics Analysis Algebra and Number Theory Computational Mathematics Statistics and Probability
Arjuna Subject : Matematika - Matematika Terapan
Articles 5 Documents
 1 
Search results for , issue "Volume 3, Nomor 2, 2021" : 5 Documents clear
APLIKASI METODE ANALISIS KOMPONEN UTAMA (AKU) DALAM MENGIDENTIFIKASI FAKTOR YANG MEMENGARUHI KEMISKINAN DI KABUPATEN/KOTA PROVINSI SULAWESI SELATAN Nur Ismi Tahir; Wahidah Alwi; Khalilah Nurfadilah
Journal of Mathematics: Theory and Applications Volume 3, Nomor 2, 2021
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1250.948 KB) | DOI: 10.31605/jomta.v3i2.1222

Abstract

Penelitian ini membahas tentang terjadinya kasus kemiskinan di provinsi Sulawesi Selatan yang terus mengalami fluktuasi setiap tahunnya. Berdasarkan hasil SUSENAS Maret 2019, dibandingkan pada Maret 2018 yang mencapai 792.640 jiwa, persentase penduduk miskin turun 0,37% menjadi 767.800 jiwa. Karena kemiskinan bersifat multidimensi dan banyak faktor yang melatarbelakanginya, maka dilakukan penelitian ini dengan menggunakan metode Analisis Komponen Utama (AKU) untuk mengidentifikasi faktor-faktor tersebut. Analisis Komponen Utama (AKU) merupakan metode yang dapat menjadikan variabel penelitian ke dimensi yang lebih kecil tanpa menghilangkan informasi dari variabel asalnya. Adapun variabel yang di analisis yaitu Jumlah Penduduk , Tidak Tamat SD, SLTP, SLTA , Angka Melek Huruf (15-24th) , Angka Melek Huruf (15-55th) , Angka Partisipasi Sekolah (7-12th) , Angka Partisipasi Sekolah (13-15th) , Tidak Bekerja , Bekerja di Sektor Informal , Bekerja di Sektor Formal , Bekerja di Sektor Pertanian , Bekerja Bukan di Sektor Pertanian , Pengeluaran Konsumsi Makanan , Air Layak , Jamban Sendiri , Menerima Beras Miskin dan Sumber Penerangan Utama . Hasil penelitian menunjukkan bahwa terdapat 8 komponen yang terbentuk dari 18 variabel yang di analisis, yaitu faktor standar/kualitas kehidupan, kualitas pendidikan, ekonomi, pengangguran, lapangan pekerjaan, pola pikir, putus sekolah, serta kepadatan penduduk
ESTIMASI PARAMETER MODEL REGRESI LINIER DENGAN PENDEKATAN METODE BAYESIAN Surianti; Hikmah; Rahmawati
Journal of Mathematics: Theory and Applications Volume 3, Nomor 2, 2021
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (229.006 KB) | DOI: 10.31605/jomta.v3i2.1364

Abstract

The method used to estimate the regression parameters in this study is the Bayes method. The steps in estimating the parameters of the linear regression model using the Bayes method are to determine the Likelihood function from the normal distribution density function, determine the Prior Non-Informative distribution from a normal distribution, then look for the Posterior distribution by switching the Prior distribution with the Likelihood function.Writing this thesis aims to determine the estimation of the parameters of the linear regression model with the Bayesian method approach. From the regression model generated by the OLS method, it was identified that there was one Outlier data. Outlier is a factor that influences parameter estimation in linear regression model. A model will be shown in an example data case by comparing the results of the Ordinary Least Square (OLS) method using R and the results of the Bayesian method using WinBUGS. It can be seen that the MSE value obtained from the Bayesian Method estimation is smaller than the MSE value obtained from the OLS Method estimate. The Mean Square Error (MSE) value obtained from the estimation of the OLS Method is 0.8469 while the Mean Square Error (MSE) value obtained from the estimation of the Bayesian MCMC Method is 0.3723. This shows that the Bayesian MCMC method is much better than the OLS method.
Analisis Model Matematika PLSQ Jumlah Perokok St. Halija; Fardinah Fardinah; Ahmad Ansar
Journal of Mathematics: Theory and Applications Volume 3, Nomor 2, 2021
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1269.262 KB) | DOI: 10.31605/jomta.v3i2.1370

Abstract

Smoking is a habit that is favored by some people, but smoking causes health, economic, social and environmental burdens not only for smokers but also for others. This study aims to determine the mathematical model of the number of smokers, analysis of the equilibrium point of the PLSQ mathematical model of the number of smokers and a simulation of the mathematical model of the PLSQ of the number of smokers. In this study, the researcher assumed that the current smoker had a death rate caused by smoking and that the former smoker after he recovered, would not return to smoking. The results obtained are the PLSQ mathematical model of the number of smokers which produces 1 (one) smoke-free equilibrium point and 1 (one) smoker endemic point from the model. The stability analysis of the model was carried out using the Routh-Hurwitz Criteria to identify the characteristics of the eigenvalues. From the results of the stability analysis, it was found that the smoker-free equilibrium point E0 and the smokers endemic equilibrium point E1 were stable if the condition for the relationship between parameters were met. At the end of the study, a simulation model was given using the Maple application
ANALISIS MODEL MATEMATIKA SEITR PADA PENYAKIT CACAR AIR Musarifa; Hikmah; Fardinah
Journal of Mathematics: Theory and Applications Volume 3, Nomor 2, 2021
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (359.917 KB) | DOI: 10.31605/jomta.v3i2.1372

Abstract

Chickenpox is an infectious disease caused by the varicella zoster virus. This infectious disease generally occurs not only in children but also attack adults and the nature of its transmission is so capidly. The purpose of this research is to build a model and analyze the SEITR (Susceptible-Exposed-Infected-Treatment-Recovered) mathematical model. The results obtained from the SEITR model have two equilibrium points, namely disease-free and endemic. Model analysis was performed using the Routh-Horwitz criteria to identify the eigenvalues. Based on the results of the stability analysis that the disease-free equilibrium point were stable if the condition for the relationship between parameters were met. At the end of the study,on the simulation that has been carried out it is found that this disease will when is 0,58 and this disease will be epidemic when is 2,80.
Syarat Perlu dan Syarat Cukup Seminear-ring Komutatif Terhadap Operasi Perkalian Meryta Febrilian Fatimah -; Ahmad Ansar; Raswan
Journal of Mathematics: Theory and Applications Volume 3, Nomor 2, 2021
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (284.747 KB) | DOI: 10.31605/jomta.v3i2.1390

Abstract

Seminear-ring adalah hasil generalisasi dari semiring dan near-ring. Secara umum, seminear-ring belum tentu komutatif. Sehingga perlu diidentifikasi syarat perlu dan syarat cukup seminear-ring komutatif. Paper ini membahas seminear-ring komutatif khusus terhadap operasi perkalian, sebab terhadap operasi penjumlahannya belum tentu komutatif. Seminear-ring yang digunakan dalam paper ini adalah seminear-ring kanselasi dengan elemen satuan. Mathematics Subject Classification:16Y60,16Y99.

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