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Ni Wayan Switrayni
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INDONESIA
EIGEN MATHEMATICS JOURNAL
Published by Universitas Mataram
ISSN : 26153599     EISSN : 26153270     DOI : -
Core Subject : Education,
Eigen Mathematics Journal mempublikasikan artikel yang berkontribusi pada informasi baru atau pengetahuan baru terkait Matematika, Statistika, dan Aplikasinya. Selain itu, jurnal ini juga mempublikasikan artikel berbentuk survey dalam rangka memperkenalkan perkembangan terbaru dan memotivasi penelitian selanjutnya dalam bidang matematika, statistika, dan aplikasinya.
Arjuna Subject : -
Articles 118 Documents
Comparison of the Trend Moment and Naive Methods in Forecasting Gross Regional Domestic Product in Blitar Regency Umi Habibah; Rizka Rizqi Robby; M. Nurhaqqul Qomaruddin
Eigen Mathematics Journal Vol. 5 No. 1 Juni 2022
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v5i1.121

Abstract

Gross Regional Domestic Product (GRDP) expenditure describes the final result of the production process within a region's territorial boundaries. Knowing GRDP expenses can describe the level of welfare economics, develop policy formulation, taxation, and export-import study. In estimating the GRDP of expenses in the following year, it is necessary to have a method of calculating systematically, one of which is forecasting. Some research showed that trend moment method and naive method produce higher accuracy than other methods. This method can be used in long-term forecasting and does not require the amount of data to be odd or even. The method is compared to get one of the best methods and has the highest accuracy value using MAPE calculation. The smaller MAPE, the better the forecasting accuracy. Comparing the two methods shows that the Naive method is the best method based on the MAPE criteria with an accuracy of 0.976 %. The result of data forecasting shows a decrease in GRDP Blitar Regency year 2021 and 2022.
Application of the Poverty Equivalent Growth Rate (PEGR) Method (Case Study: Household Income Group in South Sulawesi 2016-2018) Andy Rezky Pratama Syam
Eigen Mathematics Journal Vol. 5 No. 1 Juni 2022
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v5i1.125

Abstract

The purpose of this study is to analyze pro-poor growth in South Sulawesi Province with an income dimension approach for the classification of urban and rural areas. This study reveals the poverty situation in South Sulawesi and the extent of the growth of the poor population. In addition, an overview of the effects of growth and distribution effects on changes in poverty is also obtained. Using SUSENAS data from South Sulawesi Province from 2016 to 2018, it was found that growth tends to have a greater impact on reducing poverty in rural areas than in urban areas based on the results of the Shapley decomposition. The results of calculating the degree of pro-poor growth with PEGR, show that income growth tends to be trickle-down from 2016 to 2017. The decline in the poverty rate did occur but the benefits of growth received by the poor were proportionally less than the non-poor. Income growth shows pro poor in the period from 2017 to 2018.
Analisis Pengendalian Kualitas Air Minum dalam Kemasan Menggunakan Metode FMEA dan Penerapan Kaizen (Study Kasus di PT.Lombok Pusaka Adam, Jelantik Lombok Tengah) Lailatul Pahmi; Emmy Dyah Sulistiowati; Lisa Harsyiah
Eigen Mathematics Journal Vol. 5 No. 1 Juni 2022
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v5i1.126

Abstract

Clean water is one of the basic needs with unlimited use, even in the economic field. The opportunities provided can be utilized by companies that produce bottled drinking water. The existence of defective products is obtained in production so that the need for quality analysis of the product is still within the control limits on the P chart. This is done by knowing the highest value in the influential failure mode. So that suggestions for improvement with Kaizen can be given. Based on the control P chart obtained, all points of defective products in the production process are within control limits with a UCL limit of 0.00804 and an LCL limit of 0.00602. This indicates that the defective product is statistically controlled. The Failure Mode and Effect Analysis (FMEA) method assigns a priority value to each failure mode, and the value is the Risk Priority Number (RPN). The biggest RPN is that the cover does not stick to the surface of the cup, with an RPN value of 240. The proposed improvement using the Kaizen method is to increase inspections and routine repairs on the machine.
APPLICATION OF EXPONENTIAL SMOOTHING METHOD TO FORECASE THE AMOUNT OF RICE PRODUCTION IN TANATE RIAJA DISTRICT, BARRU REGENCY Khalilah Nurfadilah; Adnan Sauddin; Winda Saputri
Eigen Mathematics Journal Vol. 5 No. 1 Juni 2022
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v5i1.127

Abstract

Exponential smoothing is a forecasting method with data that tends to fluctuate. Rice production is one of the data with these properties. This study discusses the agricultural production, the variable used to predict the level of rice production in Tanete Rilau District, Barru Regency . This study aims to predict the total production of rice plants from 2021 to 2025. The analysis results show that the forecast values for the entire production of rice plants from 2021 to 2025 are 24016.6, 24613.14, 25018.36, 25342.54, and 25601.88, respectively. It can be seen that rice production forecasting using the exponential smoothing method fluctuates yearly.
Prime submodul of an integer over itself Muhammad Rijal Alfian; Fariz Maulana; Ni Wayan Switrayni; Qurratul Aini; Dwi Noorma Putri; I Gede Adhitya Wisnu Wardhana
Eigen Mathematics Journal Vol. 5 No. 1 Juni 2022
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v5i1.132

Abstract

One of the sciences used in digital security systems is cryptography. Cryptography is closely related to the integer system, especially prime numbers. Prime numbers themselves have been abstracted a lot. One form of abstraction of prime numbers is the prime ideal. Previous studies have proven that an Ideal  is said to be a prime ideal on  if and only if I is constructed by a prime element. Other studies have also shown how the prime ideal develops. One of them is the research result of Dauns, where the prime ideal form is developed in the form of a prime submodule. A prime submodule is one of the objects in the module, which is an abstraction of prime numbers. Based on these things, it is exciting if the properties of the prime submodule are applied to other module forms, one of which is the integer module.
Analisis Faktor Untuk Pemetaan Karakteristik pada Percobaan Dekafeinasi Kopi Robusta Zulhan Widya Baskara; Zulhan Widya Baskara; Lisa Harsyiah; Dewa Nyoman Adi Paramartha; Qabul Dinanta Utama
Eigen Mathematics Journal Vol. 5 No. 1 Juni 2022
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v5i1.139

Abstract

In recent years, there has been a positive trend in coffee consumption in Indonesia. Coffee that was initially identical to older man's drinks is starting to be liked by teenagers and children because coffee contains caffeine which can have an addictive effect. Coffee has various benefits, such as preventing drowsiness, antioxidants, improving brain performance, and reducing fatigue. However, drinking a lot of coffee than your body can tolerate will cause symptoms of insomnia, excessive anxiety, and increased blood pressure. Various experiments have been made to reduce the caffeine content in coffee (decaffeination), one of which is mixing coffee with chayote juice (Sechium edule). Furthermore, this article classified the characteristics of decaffeinated products, caffeine content, moisture content, total acid titration, ash content, hue color, and L value. Using factor analysis, it is known that the characteristics can be mapped into three principal components. The first principal component consists of variables of caffeine content, water content, and hue color value. The second principal component consists of ash content and total acid content titration variables, and the third principal component, this factor, consists only of the characteristic L. It is also known that these three main components can explain 74.2% of the diversity of origin.
Peramalan Harga Beras dengan Metode Double Exponential Smoothing dan Fuzzy Time Series (Study Kasus : Harga Beras di Kota Mataram) Sulpaiyah Sulpaiyah; Syamsul Bahri; Lisa Harsyiah
Eigen Mathematics Journal Vol. 5 No. 2 Desember 2022
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v5i2.123

Abstract

Rice has become the main staple food for almost the entire population of Indonesia. However, in Indonesia, the price of food commodities (rice) often fluctuates in price. Due to the rapid fluctuation of rice prices and the uncertainty in the future, it is necessary to forecast rice prices. This study aims to predict the price of rice in the city of Mataram using the Holt double exponential smoothing method and the Cheng fuzzy time series. The model's performance is based on Mean Squared Error (MSE) and Mean Absolute Percentage Error (MAPE) indicators. Forecasting model based on Holt's double exponential smoothing method, the MSE value is 705967.4994 and the MAPE value is 7.91%. On the other hand, based on Cheng's fuzzy time series method, the performance of the forecasting model based on the MSE indicator is 627400.307 and based on the MAPE value of 7.39%. Based on these results, Cheng's fuzzy time series method is more accurate than Holt's double exponential smoothing method.
Jaringan Syaraf Tiruan untuk Memprediksi Kadar Polutan Ozon di Kota Mataram Nurul Hikmah; Syamsul Bahri; Irwansyah Irwansyah
Eigen Mathematics Journal Vol. 5 No. 2 Desember 2022
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v5i2.129

Abstract

Ozone tropospher (O3) is one of the pollutants in the environment of Mataram City, Lombok, NTB, Indonesia. Based on the data obtained from the Agency of Environment and Forestry of West Nusa Tenggara Province, ozone pollutant concentrations in Mataram City have changed unpredictably. One time pollutant concentrations increase and then decrease, but then quickly increase again significantly. Therefore, the concentrations of ozone pollutant must be monitored because its presence at certain levels can cause various negative effects human health and the environment. Changes in ozone pollutant concentrations can be identified by carrying out a method of predicting ozone pollutant levels so that a decision can be taken to prevent the negative impact of the pollutant. In this research, a backpropagation artificial neural network is used to find the model prediction of the concentration of ozone in Mataram City. The input variables that are used in this network are air temperature (x_1 ), wind direction (x_2 ), wind speed (x_3 ), humidity (x_4 ), solar radiation (x_5 ), concentration of NO2 (x_6 ), the concentration of SO2 (x_7 ) and the concentration of O3 a day before (x_8 ) for the period of 6 July 2018 to 31 May 2019. The method in this study was to conduct trial and error on 60 different combinations of network architectures and parameters. Then all the network architectures performance will be compared based on the RMSE, MAPE and R2 indicators. Based on this research, the best neural network model to predict the concentration of ozone pollutant in Mataram City is the network with architecture 8-20-1, with logsig-purelin activation function and trainlm learning function. The performance of the training model is RMSE=0.011, MAPE = 1,043 % and R^2=0,9566. Meanwhile, the performance of the testing model is RMSE=0.001, MAPE = 0.749 % and R^2=0.497
Proving The Fermat Last Theorem for Case q≤n Baiq Desy Aniska Prayanti; Maxrizal Maxrizal
Eigen Mathematics Journal Vol. 5 No. 2 Desember 2022
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v5i2.137

Abstract

Fermat's Last Theorem is a well-known classical theorem in mathematics. Andrew Willes has proven this theorem using the modular elliptic curve. However, the proposed proof is difficult for mathematicians and researchers to understand. For this reason, in this study, we provide evidence of several properties of Fermat's Last Theorem with a simple concept. We use Newton's Binomial Theorem, well-known in Fermat's time. In this study, we prove Fermat's Last Theorem for case . We also use the Newton’s Binomial theorem to verify several cases .      
Modeling the Number of Infant Mortality in East Lombok using Geographically Weighted Poisson Regression Baiq Urfa Justitiaski; Nurul Fitriyani; Syamsul Bahri
Eigen Mathematics Journal Vol. 5 No. 2 Desember 2022
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v5i2.138

Abstract

Infant mortality is death that occurs at the age of 0 to 1 year. According to the Provincial Health Office, East Lombok is the district with the largest infant mortality rate in NTB. Several factors influence infant mortality: childbirth with medical assistance, low birth weight, health facilities, health workers, and exclusive breastfeeding. These factors have a spatial influence because each region has different geographical, socio-cultural, and economic conditions. Therefore, the method that can be used is GWPR because it can model data with the response variable with a Poisson distribution and pay attention to location or spatial aspects. This study aims to determine the infant mortality model in East Lombok using Geographically Weighted Poisson Regression (GWPR) and to determine the factors that significantly influence the number of infant deaths in East Lombok. Based on the research conducted showed that low birth weight is the only factor that significantly affected infant mortality in 8 sub-districts, including Keruak, Sakra, West Sakra, East Sakra, Terara, Sukamulia, Selong, and Labuhan Haji. The model obtained gives a good estimator, with an R^2 value of 76,44%.

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