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Jurnal Matematika
Published by Universitas Udayana
ISSN : 16931394     EISSN : 26550016     DOI : https://doi.org/10.24843/JMAT
Core Subject : Education,
Mathematics
Jurnal Matematika (p-ISSN: 1693-1394 |e-ISSN: 2655-0016| DOI: 10.24843/JMAT ) is an open access journal which publishes the scientific works for researchers. The articles of this journal are published every six months, that is on June and December.
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Articles 6 Documents
 1 
Search results for , issue "Vol 10 No 1 (2020)" : 6 Documents clear
Indikator Kesejahteraan di Provinsi Bali: Suatu Pendekatan Analisis Biplot I Komang Gde Sukarsa; I G K Gandhiadi
Jurnal Matematika Vol 10 No 1 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2020.v10.i01.p120

Abstract

The goal of this reseach is to get the representation of welfare in Bali province based on the indicators represented by People Development Indexs (PDI). PDI is the indexs is a latent variable that can not be measured like measurement variable, so to measure PDI have to be measure by several indicators. In tgeneral, PDI is measured by three indicators that is a long and Healthy life as the Health Indicators, Education Indicators and decent standard of living as Economic Indicators. In Practice, Health Indicators is measured by mean expectation of life. Mean of long school and expectation of long school are measurement of Education Indicators. Whereas Economic Indicators is represented by purchasing power parity. In Staistics methods, to represent or analize multivariate variable there are many methods can be used. One of the methods is Biplot. In Biplot analysis we can represent information about row matrix and coloum matrix simultaneous. In this cases we can get information about object ( 9 districs or city in Bali) and Welfare Indicators represented by PDIsimultanous. The result of biplot analysis in this research is two dimension graphic that represent Euclid distance of object and correlation of indicators so that we can get information of the grouping of object and the characteristic variables of the certain group.
Penyelesaian Positif Model Penyebaran Virus Ebola Antar Dua Wilayah Awawin Mustana Rohmah; Dinita Rahmalia
Jurnal Matematika Vol 10 No 1 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2020.v10.i01.p122

Abstract

A Model describing the epidemic spread of the Ebola virus disease in region 1 and region 2 can be formed in a mathematical model, one of which is the SEIR endemic model. To form a mathematical model it is necessary to know the phenomenon of the spread of the Ebola virus, namely the large number of infected populations in an area which is not only caused by infected individuals in one area but can be caused by individuals traveling from one region to another. In this case, the SEIR model is analyzed for existence and uniqueness. Before doing the Analyze, the SEIR model was simplified. Then lipschitz was determined, so that an analysis of existence and uniqueness could be carried out. This shows that the SEIR model has a unique solution. Furthermore, a positive solution is determined in the model, to show that the SEIR model has a continuous and dynamic flow. Based on these results, it was found that the SEIR model in the spread of the Ebola virus had dynamic and a continuous flow.
Penerapan Artificial Neural Network (ANN) untuk Memprediksi Perubahan Derajat Miopia pada Manusia Ni Kadek Emik Sapitri; I Putu Eka N. Kencana; Luh Putu Ida Harini
Jurnal Matematika Vol 10 No 1 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2020.v10.i01.p123

Abstract

Miopia merupakan gangguan penglihatan yang menyebabkan penderitanya tidak dapat melihat objek yang jauh dengan jelas. Fakta menunjukkan bahwa derajat miopia seseorang dapat mengalami perubahan, baik itu meningkat maupun menurun. Peningkatan derajat miopia berbanding lurus dengan potensi terjangkit gangguan penglihatan lainnya, seperti katarak, ablasi retina, dan glaukoma. Oleh karena itu, peningkatan derajat miopia perlu diwaspadai. Beberapa penelitian sebelumnya hanya memperhitungkan faktor waktu dalam memprediksi perubahan derajat miopia. Padahal, perubahan derajat miopia juga dipengaruhi oleh beberapa faktor yang berkaitan erat dengan identitas dan perilaku individu yang bersangkutan. Penelitian ini bertujuan untuk memprediksi perubahan derajat miopia pada manusia berdasarkan beberapa faktor penyebab miopia. Penelitian ini menggunakan data yang telah di-scaling dengan fungsi keanggotaan fuzzy untuk diolah dengan ANN dalam proses memprediksi perubahan derajat miopia. Dengan arsitektur ANN 6-2-3 yang menggunakan 80 data latih, 20 data uji, dan 1 data prediksi, diperoleh hasil prediksi perubahan derajat miopia mata kanan sebesar 1.1 dioptri, mata kiri 1.2 dioptri dan diakumulasi keduanya adalah 2.3 dioptri, dengan persentase akurasi berturut-turut sebesar 87.79%, 78.47%, dan 83.21%.
Dimensi Metrik Pada Graf Starbarbell dan Hasil Operasi Edge Corona Pada Graf Cycle dan Graf Path Putri Dea Sari; Tri Atmojo Kusmayadi
Jurnal Matematika Vol 10 No 1 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2020.v10.i01.p121

Abstract

Model Struktural Faktor-Faktor Berpengaruh Terhadap Kinerja Badan Usaha Milik Desa di Kabupaten Jembrana, Bali G K Gandhiadi; I Putu Eka N Kencana
Jurnal Matematika Vol 10 No 1 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2020.v10.i01.p118

Abstract

One of the efforts to develop the rural economy is the establishment of economic institutions such as Village-Owned Enterprises (BUMDes) which are supported by the role of the local government and are based on the wishes of the village community. This BUMDes is expected to be able to increase market demand based on proper management of the existing village potential. Through cooperative behavior (social capital), synergy and a good entrepreneurial orientation in BUMDes managers and the positive role of the government it is hoped that there will be an increase in BUMDes business performance in Jembrana Regency. The purpose of this study is to comprehensively analyze the role of government and social capital of business managers through entrepreneurial orientation towards BUMDes business performance in Jembrana Regency. The basis of multivariate analysis used is Structural Equation Modeling (SEM). Through a research sample of 90 respondents from BUMDes managers in Jembrana Regency, the results are obtained: (1) social capital and the role of government directly have a positive but not significant effect on business performance, while entrepreneurial orientation has a positive and significant effect on business performance, and (2) social capital and the role of the government in a total positive and significant effect and require full mediation (full mediation) through entrepreneurial orientation to the business performance of BUMDes in Jembrana Regency, Bali.
Penerapan Jaringan Syaraf Tiruan Dalam Pembentukan Model Peramalan Angka Melek Huruf di Kabupaten Karangasem I Gusti Ngurah Lanang Wijayakusuma; Ni Kadek Emik Sapitri
Jurnal Matematika Vol 10 No 1 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2020.v10.i01.p119

Abstract

Angka Melek Huruf (AMH) merupakan salah satu komponen indeks pembangunan manusia (IPM). Mengacu pada data Badan Pusat Statistik (BPS) Provinsi Bali 2018, AMH Kabupaten Karangasem pada tahun 2018 memiliki nilai paling rendah yaitu 84,91 persen. Nilai ini cukup jauh dibandingkan AMH Kota Denpasar yang hampir mencapai 100 persen, tepatnya 98,02 persen. Dengan demikian, penting untuk membuat suatu model yang dapat memprediksi nilai AMH di Kabupaten Karangasem pada tahun yang akan datang. Penelitian ini menggunakan data Persentase Penduduk Miskin (PPM) dan Angka Partisipasi Sekolah (APS) di Kabupaten Karangasem pada tahun 2007 s.d. 2018 sebagai input dan AMH Kabupaten Karangasem pada tahun 2007 s.d. 2018 sebagai output. Setelah diproses menggunakan algoritma backpropagation, diperoleh model dengan overfitting paling minimal yaitu model 2-5-1 dengan rata-rata error per iterasi sebesar 0.00049386.

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