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Jurnal Matematika

jmat
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Published by Universitas Udayana

ISSN : 16931394 EISSN : 26550016 DOI : -

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 119 Documents

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PERHITUNGAN IURAN NORMAL PROGRAM PENSIUN DENGAN ASUMSI SUKU BUNGA MENGIKUTI MODEL VASICEK Widana, I Nyoman; Asih, Ni Made
Jurnal Matematika Vol 7 No 2 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Labor has a very important role for national development. One way to optimize their productivity is to guarantee a certainty to earn income after retirement. Therefore the government and the private sector must have a program that can ensure the sustainability of this financial support. One option is a pension plan. The purpose of this study is to calculate the  normal cost  with the interest rate assumed to follow the Vasicek model and analyze the normal contribution of the pension program participants. Vasicek model is used to match with  the actual conditions. The method used in this research is the Projected Unit Credit Method and the Entry Age Normal method. The data source of this research is lecturers of FMIPA Unud. In addition, secondary data is also used in the form of the interest  rate of Bank Indonesia for the period of January 2006-December 2015. The results of this study indicate that  the older the age of the participants, when starting the pension program, the greater the first year normal cost  and the smaller the benefit which he or she  will get. Then, normal cost with constant interest rate  greater than normal cost with Vasicek interest rate. This occurs because the Vasicek model predicts interest between 4.8879%, up to 6.8384%. While constant interest is only 4.25%.  In addition, using normal cost that proportional to salary, it is found that the older the age of the participants the greater the proportion of the salary for normal cost.

AN APPROXIMATE FORMULA FOR THE STRESS INTENSITY FACTOR FOR THE PRESSURIZED STAR CRACK CLEMENTS, D. L.; WIDANA, N.
Jurnal Matematika Vol. 1, No. 1 April 2007
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

An elementary approximate formula for the stress intensity factor for the pressurized starcrack is estab-lished. The formula is sufficiently accurate to be used in practical applications inplace of the more complex formulas derived by Westmann [1] and Williams [2]. © 2003 ElsevierScience Ltd. All rights reserved.

ANALISIS MODEL REGRESI DATA PANEL TIDAK LENGKAP KOMPONEN GALAT DUA ARAH DENGAN PENDUGA FEASIBLE GENERALIZED LEAST SQUARE (FGLS) Jacob, Chrisna Anzella; Sumarjaya, I Wayan; Susilawati, Made
Jurnal Matematika Vol 4 No 1 (2014)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Data panel didefinisikan sebagai kumpulan pengamatan pada data tabulasi silang yaitu setiap objek yang sama diamati dari waktu ke waktu. Data panel yang memiliki jumlah pengamatan waktu berbeda di setiap objek pada data tabulasi silang disebut data panel tidak lengkap. Penelitian ini mencari nilai dugaan terhadap model regresi data panel tidak lengkap yang mengasumsikan pada random effect models dengan komponen galat dua arah. Pendugaan dilakukan dengan terlebih dahulu mencari taksiran komponen variansi galat dua arah, kemudian melakukan penaksiran koefisien regresi data panel tidak lengkap dengan metode feasible generalized least square (FGLS).

PENGGUNAAN MIND MAP DALAM PEMBUKTIAN MATEMATIKA Harini, Luh Putu Ida; Oka, Tjokorda Bagus
Jurnal Matematika Vol 6 No 1 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Matematika merupakan salah satu bidang ilmu yang keberadaanya disusun dari suatu sistem yang penuh dengan perjanjian dan terbangun atas logika dari sekelompok unsur, relasi, dan operasi yang diramu secara aksiomatik serta kebenarannya harus terjamin. Dengan demikian maka pembuktian dalam matematika menjadi salah satu modal terpenting dalam pengembangan matematika. Beberapa orang menganggap pembuktian dalam matematika merupakan suatu keindahan tersendiri walaupun seringkali dalam merangkai fakta-fakta kebenaran melalui penalaran yang logis tidaklah mudah. Diperlukan banyak latihan dan pembelajaran untuk menguasai keterampilan ini. Berlatih memahami bukti adalah salah satu cara termudah dalam memulai memahami konsep matematika yang lebih abstrak. Akan tetapi pada kenyataannya memahami bukti yang sudah ada saja bukan merupakan hal yang mudah, apalagi jika diminta untuk membuktikan. Oleh karena itu dalam tulisan ini akan diulas salah satu alternatif penggunaan mind map dalam membantu memperkenalkan konsep terkait pembuktian dan membiasakan diri menggunakan metode-metode pembuktian yang sudah ada.

Transformasi Biplot Simetri Pada Pemetaan Karakteristik Kemiskinan Komalasari, Desy; Hadijati, Mustika; Marwan, .
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

The purpose of this research is to provide the new innovations on mapping of poverty characteristics in West Nusa Tenggara Province using Biplot analysis. The analysis based on matrix transformation, singular value decomposition, and matrix factorization. In this research we construct two kind of matrix transformation, that are average transformation and standarization transformation. The result of this research is symmetry Biplot, which maps the regency andÂ poverty characteristics simultaneously. The result of Biplot mapping with average transformation obtained the value of Â (79.12%), while standarization transformation obtained the value of Â (63.11%). It can be concluded that Biplot mapping with averaging transformation is better than standarization transformation.

Pendekatan Fuzzy Pada Peramalan Jumlah Kunjungan Wisatawan Mancanegara ke Kabupaten Badung Oka, Tjokorda Bagus; Kencana, Eka N.
Jurnal Matematika Vol 6 No 2 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

This work is directed to forecast the number of foreign visitors come to touristâ€™s destinations at Badung regency, Province of Bali. Using visit historical data for period January 2000 to February 2015, Markov Transition Matrix and Fuzzy Triangular Number are applied to represent fuzzy logical relationship group and member function in fuzzy model, respectively. Â The results showed the in-sample forecasting accuracy for our fuzzy model as much as 2,48 percent. To validate the model, we found the average forecasting error rate for five consecutive months (March â€“ July 2015) as much as 2,70 percent.

Peran Pemerintah, Modal Sosial, dan Kinerja Usaha Terhadap Kesejahteraan Subjektif Pelaku Industri Tenun di Kabupaten Jembrana, Bali Gandhiadi, G.K.; Dharmawan, Komang; Kencana, I Putu Eka Nila
Jurnal Matematika Vol 8 No 1 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Weaving industry is one of the creative industries based on local wisdom of Bali, need to be developed with the concept of modern entrepreneurship (orange economy). Regional economic development strategies need to take into account the dynamics of local community life or social capital in addition to the role of government and other physical capital, in order to improve the performance of weaving industry in Jembrana regency, Bali. Based on empirical theory and facts, this study aims to analyze how the direct and indirect influence of the role of government, social capital and business performance on and subjective wellbeing on the business actors of weaving industry in Jembrana, Bali. Through the modeling of the resulting structural equations is studied: (1) the direct influence of the government's role on business performance and subjective well-being; (2) the direct influence of social capital on business performance and subjective wellbeing; (3) the direct impact of business performance on subjective well-being; (4) the indirect and total influence of the government's role on subordinate welfare mediated by business performance; and (5) the indirect and total social capital influences on subjective well-being mediated by business performance. Based on surveys and structured interviews on 70 business actors of weaving industry in Jembrana District, Bali through data analysis techniques using SEM-PLS with the help of Smart PLS 3.0 software, in the business actors weaving industry found that: (1) directly the role of government have positive and significant (2) direct social capital has a positive and significant effect on business performance, but not significant to subjective wellbeing, (3) directly the business performance have a positive and significant effect on subjective wellbeing, (4) the role of the government indirectly has a positive but insignificant effect on subjective wellbeing, but through full mediation of business performance, the role of the government has a positive and significant effect on subjective wellbeing, and (5) social capital indirectly has a positive and significant effect on the subjective achievement, so totally through the full mediation of business performance, social capital has a positive and significant impact on subjective wellbeing although it directly does not have a significant effect.

MODEL PENYERAPAN OBAT UNTUK INTERVAL DAN DOSIS BERBEDA WIDANA, I NYOMAN
Jurnal Matematika Vol 1 No 1 (2010)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

This article will discuss the accumulated quantity of the drug in the bloodstream of the twoadministered methods of the drug. The first method the drug is administered every 12 hours with adose of 12.5 mg, whereas for the second method the drug is administered every 24 hours with a dose of25 mg. The calculations show that the second method accumulates more drugs in the bloodstream thanthe first method.

Metoda Autoregressive untuk Peramalan Jangka Panjang Faulina, Ria
Jurnal Matematika Vol 8 No 2 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Changes in seasonal patterns in Indonesia are closely related to rainfall. Various forecasting techniques were developed to produce better accuracy. In this study ARIMA linear forecasting techniques were used. The data used is secondary data from BMKG Kalianget Station, Sumenep from January 2008 - December 2017 with a monthly rainfall research variable. To measure the accuracy of the forecast results used by RMSE.From the result of this study, ARIMA ([1,6],0,0)(0,1,1)12providing better accuracy than ARIMA (1,0,0)(0,1,1)12 for predicting the next 1 month or 12 months (a year ahead).

EVALUASI KINERJA JARINGAN SYARAF TIRUAN PADA PERAMALAN KONSUMSI LISTRIK KELOMPOK TARIF RUMAH TANGGA Eka N. Kencana, I Putu; Jayanegara, Ketut
Jurnal Matematika Vol 2 No 1 (2012)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Many methods have been applied in forecasting technics, varied fromStatistical Forecasting Methods (SFM) or Mathematical Modelling and ForecastingMethods (MMFM) to Artificial Neural Methods (ANM). This research aimedto implement and evaluate performance of Artificial Neural Network (ANN), onemethod in ANM group; for forecasting electricity consumption by household inProvince of Bali. This research used electricity consumption data from January2001 to December 2009 as basis for networkâ€™s training and validating its result.The actual data from January to December 2010 is used to evaluate the performanceof network prediction. Research shows the Mean Absolute Prediction Error(MAPE) of the ANNâ€™s prediction is 7,56%.

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