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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.
Arjuna Subject : -
Articles 187 Documents
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Pemodelan Spatial Error Model (SEM) Untuk Mengidentifikasi Indeks Pembangunan Manusia di Provinsi Maluku Tahun 2016 Fauzan Samallo; Yopi Andry Lesnussa; Abraham Z. Wattimena; Muhammad Yahya Matdoan
Jurnal Matematika Vol 8 No 1 (2018)
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.2018.v08.i01.p99

Abstract

Human Development Index (HDI) is a quality measure that can be used to determine the quality of human development that has been achieved. HDI is a composite index that composed of 3 components, such as: Length of life measured by life expectancy at birth, Education measured by average school duration and expectations school duration and standard of living measured by Purchasing Power Parity (PPP) in rupiah. The model used in this research is Spatial Error Model (SEM) to identify Influence of Variables X on IPM value and pattern of HDI distribution in a region with Ordinary Linear Square (OLS) parameter estimates. From the map thematic data that obtained, it can be seen that the pattern of the spread of Human Development Index (HDI) in Maluku Province has no effect on the distance of a region. There is a correlation between the components of HDI compilers to the HDI value in Maluku Province, because there is a spatial dependency on the dependent variable. Lambda value coefficient which is negative and significant at ? = 10% indicates that there is no correlation of HDI value in a region with other adjacent area. Also indicated by spatial residuals in adjacent areas do not have the same characteristics.
Analisis Mutu Ketebalan Roti Sisir Pada Perusahaan XYZ Ni Luh Putu Suciptawati; Wella Dhanuantari
Jurnal Matematika Vol 1 No 2 (2011)
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.2011.v01.i02.p14

Abstract

Penelitian ini bertujuan untuk mengetahui apakan produk roti sisir pada perusahaanXYZ sudah terkendali atau tidak. Selanjutnya diselidiki faktor-faktor yang mempengaruhivariasi proses pada inspeksi ketebalan roti sisir dengan diagram sebab akibat. Penelitian inimenunjukan bahwa kerusakan roti sisir di perusahaan XYZ adalah pada ketebalan rotinya.Rata-rata ketebalan roti sisir proses belum terkendali, faktor-faktor yang mempengarhi mutuvariable ketebalan roti sisir adalah manusia, bahan baku, mesin oven, dan mesin steamer.
Geographically Weighted Ridge Regression dalam Kasus Multikolinearitas Pada Indeks Pembangunan Manusia di Kabupaten/Kota Provinsi Jawa Timur Yani Arthayanti; I Gusti Ayu Made Srinadi; G.K. Gandhiadi
Jurnal Matematika Vol 7 No 2 (2017)
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.2017.v07.i02.p89

Abstract

Linear Regression Analysis is a statistical method for modeling relation between two variable, response and explanatory variable. Geograpically Weighted Regression (GWR) is the development of linier regression analysis if the case of spatial divers case. Local multicollinearity is a condition when explanatory variables had correlated with each observation location. Geograpically Weighted Ridge Regression (GWRR) is a method used to model data containing local multicollinearity on spatial data. GWRR model was developed from ridge regression by adding weight as additional information. The study aims to model spatial data containing local multicollinearity to the Human Development Index (HDI) in the districts/municipalities of eastern Java Province in 2015. The result of this study was indicate that the indicator of the average length of school is a dominant indicator that affects HDI.
Kajian Pembentukan Segitiga Sierpinski Pada Masalah Chaos Game dengan Memanfaatkan Transformasi Affine Kosala Dwidja Purnomo; Rere Figurani Armana; , Kusno
Jurnal Matematika Vol 6 No 2 (2016)
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.2016.v06.i02.p71

Abstract

The collection of midpoints in chaos game at early iteration looked like a shapeless or chaos. However, at the thousands of iterations the collection will converge to the Sierpinski triangle pattern. In this article Sierpinski triangle pattern will be discussed by the midpoint formula and affine transformation, that is dilation operation. The starting point taken is not bounded within the equilateral triangle, but also outside of it. This study shows that midpoints plotted always converge at one of vertices of the triangle. The sequence of collection midpoints is on the line segments that form Sierpinski triangle, will always lie on the line segments at any next iteration. Meanwhile, a midpoint that is not on the line segments, in particular iteration will be possible on the line segments that form Sierpinski triangle. In the next iteration these midpoints will always be on the line segment that form Sierpinski triangle. So, the collection of midpoints at thousands of iteration will form Sierpinski triangle pattern.
Model Matematika (Linier) Populasi Anjing Rabies dengan Vaksinasi Ahmad Fitri; Tjokorda Bagus Oka; I Nyoman Widana
Jurnal Matematika Vol 4 No 2 (2014)
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.2014.v04.i02.p46

Abstract

Rabies is an infectious virus that can attack all mammals especially dogs. In Bali, rabies was found in late 2008. One of the solutions done by government for the problem is by giving vaccine to healtly dogs, so that they are not easily infected by the virus. Thus, a mathematical model is needed to analyze the development of dog population in Bali and to determine the limination of dogs birth population and the percentage limination of vaccination that can be possibly done so that the population of dogs infected by rabies becomes extinct. By using analysis of fixed point and stability on the model, the limination of dogs birth population and the percentage limitation of the vaccination was obtained. Lastly, a numeric simulation by using Taylor’s series order was conducted to illustrate and to strengthen the result of the analysis.
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%.
Analisis Kejadian Gempa Bumi Tektonik di Wilayah Pulau Sumatera Jose Rizal; Sigit Nugroho; Adi Irwanto; , Debora
Jurnal Matematika Vol 6 No 1 (2016)
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.2016.v06.i01.p63

Abstract

The purpose of this study to get an overview of the earthquakes in Sumatra. The method used is descriptive statistics and models Autoregressive Fractionally Integrated Moving Average (ARFIMA). The result from analysis data yielded a mathematical model to predict the amount of tectonic earthquakes that occur every month in Sumatra is ARFIMA (4,0.350,3) with a value of RMSE is 0,040??. While the best model for the average magnitude of the many tectonic earthquakes that occur every month in Sumatra is ARFIMA (1,0.310,3) with a value of RMSE is 0.013. Based on the model results obtained forecast frequency earthquake and the average magnitude for the three periods ahead, namely the first period 21 times with an average magnitude is 4,91 SR , the second period will occur 14 times with an average magnitude is 4.94 SR and the third period will occur 20 times with an average magnitude is 4,96 SR.
Optimasi Radio Frequency Unit Berbasis Interferensi Kanal Menggunakan Pendekatan Upper Bound Bilangan Kromatik Noor Saif Muhammad Mussafi
Jurnal Matematika Vol 3 No 1 (2013)
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.2013.v03.i01.p30

Abstract

Gangguan gelombang transmisi radio sering terjadi dikarenakan kesenjangan antara bandwith frekuensi yang tersedia dan tingginya permintaan frekuensi. Telaah pewarnaan graf khususnya algoritma Welsh-Powell diharapkan dapat memberikan alternatif solusi permasalahan tersebut. Penelitian ini mengkaji optimasi radio frequency unit berbasis interferensi kanal menggunakan pendekatan upper bound bilangan kromatik. Data mengenai persebaran radio akan direpresentasikan dalam bentuk graf dengan mempertimbangkan tingkat interferensi yaitu kuat medan listrik, selanjutnya akan dianalisis menggunakan pewarnaan graf dengan algoritma Welsh-Powell. Hasil penelitian memberikan alternatif model distribusi frekuensi radio yang optimal.
Efektivitas Pembelajaran Kooperatif Dengan Permainan Dalam Matematika Ni Ketut Erawati; Ni Made Suwarnisi
Jurnal Matematika Vol 9 No 2 (2019)
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.2019.v09.i02.p114

Abstract

The purpose of this study was to determine the effectiveness of the application of the STAD cooperative learning model combined with ice breaking in mathematics subjects on motivation and learning outcomes of student. This research is a quasi-experimental study using the non equivalent design group design. This design uses two sample groups selected with random sampling and randomized classes are already available. This research was conducted at SMK N 4 Denpasar with a population of 10th grade students consisting of 10 classes, then two classes were selected as samples.Data collection using questionnaires and essay test. Data analysis uses t-test for the first hypothesis and the second hypothesis while the third hypothesis analysis uses MANOVA. The results of the research show that the motivation and learning outcomes between the experimental group and the comparison group differed significantly, where better results were obtained in the experimental group ie the group that applied STAD cooperative learning with ice breaking. The results of this study indicate that cooperative learning innovations especially the STAD type combined with ice breaking as a game or pause in mathematics learning provide effective results in achieving student learning outcomes and motivation at a better level.
KONSEP INTEGRATION LAYER DALAM PEMBANGUNAN DATA WAREHOUSE I WAYAN PULANTARA; I WAYAN SANTIYASA
Jurnal Matematika Vol. 1, No. 1 April 2007
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.2007.v01.i01.p01

Abstract

Information availability in exact time is one of keys for correct decision making. One of thesolutions is by developing a Data Warehouse for supporting decision making. In general DataWarehouse contains Dependent Data Mart (DDM), Integration Layer(IL), and Extract-Transform-Load (ETL). Integration Layer is a database that contains data that already integrated,stored in aid for one or more decision support system. For its data source, integration layerrequire Extract-Transform-Load (ETL) as supplier for clean and integrated data. IntegrationLayer volume would be much larger than any on dependent data mart that its support, so thefocus aspect in developing Integration Layer as core part of Data Warehouse is how to handle ahuge amount of data in considerable performance. Beside that, interfacing aspect is alsoimportant, e.g. how Integration Layer interact with ETL Process and supporting dependent data.

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