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Model Regresi Nonparametrik Deret Fourier pada Pola Data Curah Hujan di Kota Mataram
EIGEN MATHEMATICS JOURNAL Pub Date : 2018-12-29 DOI: 10.29303/EMJ.V2I2.16
Widiya Astuti
{"title":"Model Regresi Nonparametrik Deret Fourier pada Pola Data Curah Hujan di Kota Mataram","authors":"Widiya Astuti","doi":"10.29303/EMJ.V2I2.16","DOIUrl":"https://doi.org/10.29303/EMJ.V2I2.16","url":null,"abstract":"Rainfall is one of the elements of the climate that has influence on people's lives in West Nusa Tenggara Province. The capital city of West Nusa Tenggara Province (NTB), namely the City of Mataram, in December 2016 was affected by flood disaster due the rainfall increation. This causes all activities in the City of Mataram paralyzed. This study aimed to modelling the rainfall and to determine the rainfall grade prediction in the City of Mataram in 2017. The method used was nonparametric regression of Fourier series. Based on the results of the analysis that has been committed, the best Fourier series of nonparametric regression model obtained at the Selaparang station was a model with 101 number of knots and 0.959116 value of R2 . For the Ampenan station, the best model obtained with 101 knots and 0.966992 value of R2 . As well as for the Cakranegara station, the best model obtained with 106 number of knots and 0.987778 value of R2 .","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121798619","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimasi Parameter Regresi Linear Menggunakan Regresi Kuantil
EIGEN MATHEMATICS JOURNAL Pub Date : 2018-12-29 DOI: 10.29303/EMJ.V2I2.15
Baiq Devi Rachmawati
{"title":"Estimasi Parameter Regresi Linear Menggunakan Regresi Kuantil","authors":"Baiq Devi Rachmawati","doi":"10.29303/EMJ.V2I2.15","DOIUrl":"https://doi.org/10.29303/EMJ.V2I2.15","url":null,"abstract":"Regression analysis is a statistical analysis method for estimating the relationship between dependent variables (Y) and one or more independent variables (X) . As the purpose of this study is to theoretically examine the quantile regression method in estimating linear regression parameters. In regression analysis usually the method used to estimate parameters is the least square method with assumptions that must be met that normal assumption, homoskedasticity, no autocorrelation and non multicollinearity. Basically the least square method is sensitive to the assumptions of deviations in the data, so that the estimations results will be lees good if the assumptions are not fulfilled. Therefore, to overcome the limitations of the least square method developed a quantile regression method for estimating linear regression parameters. Based on the result of research that has been done shows that the estimation of linear regression parameters using the quantile regression method is obtained by minimazing the absolute number of errors through the simplex algorithm.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133039447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Usulan Rute Optimal Distribusi Sampah Shift I Kota Sumbawa Besar Menggunakan Metode GVRP 使用GVRP方法建议大型城市sumtake垃圾分配的最佳路线
EIGEN MATHEMATICS JOURNAL Pub Date : 2018-12-28 DOI: 10.29303/emj.v2i2.17
Koko Hermanto, Eki Ruskartina
{"title":"Usulan Rute Optimal Distribusi Sampah Shift I Kota Sumbawa Besar Menggunakan Metode GVRP","authors":"Koko Hermanto, Eki Ruskartina","doi":"10.29303/emj.v2i2.17","DOIUrl":"https://doi.org/10.29303/emj.v2i2.17","url":null,"abstract":"Generalized vehicle routing problem (GVRP), for each vertex of the graph is partitioned into vertex sets and called groups, it will be determined the optimal route given to each set group includes exactly one vertex of each group. Furthermore, the cluster generalized vehicle routing problem (CGVRP) was introduced which aims to determine the optimal route for each vertex for each cluster. The optimal route can be solved using the Djikstra Algorithm. The distribution of waste in the city of Sumbawa Besar is still considered to be less than optimal, so this system can be implemented by making direct connections between each polling station. This system produces the shortest route, travel details, distance between polling stations and travel costs.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"50 7","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120987848","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Penerapan aritmatika modulo untuk menguji validitas dan mengembangkan nomor ISBN (International Standard Book Number) 使用调制算术方法测试有效性，开发ISBN编号(国际标准书编号)
EIGEN MATHEMATICS JOURNAL Pub Date : 2018-12-28 DOI: 10.29303/EMJ.V2I2.18
Lukman T. Ibrahim, Syamsul Bahri, Irwansyah
{"title":"Penerapan aritmatika modulo untuk menguji validitas dan mengembangkan nomor ISBN (International Standard Book Number)","authors":"Lukman T. Ibrahim, Syamsul Bahri, Irwansyah","doi":"10.29303/EMJ.V2I2.18","DOIUrl":"https://doi.org/10.29303/EMJ.V2I2.18","url":null,"abstract":"International Standard Book Number or ISBN is a code that contains information about the title, the publisher, the different types of materials for making the book, and publisher group from a book. The ISBN code of a book along with its development need to be checked for validity, because the more books are published, the more chance the book will be copied so that it has a double ISBN number. This research show that the use of modulo arithmetic in arranging ISBN for a book, especially ISBN-10 and ISBN-13. In this research too discussed about validation ISBN-10 and ISBN-13 using modulo arithmetic and expanded by developing an ISBN-n, for a natural number n greater than 10. Validation will be carried out in two stages, namely manually using modulo arithmetic calculation and then computing, by compiling java-based application to validate an ISBN. The development of ISBN-n for n ∊ ℕ and n ≥ 11 use the advantages of ISBN-10 and ISBN-13 and (Memorandum of Understanding/MoU) ISBN agency. Case studies in the Department of Library and Archives of West Nusa Tenggara Province on the ISBN validity of additional collection books for the 2015-2016 period showed that the ISBN validity of these books is 96%.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133635411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Small Area Estimation Jumlah Penderita Penyakit TBC di Kabupaten Lombok Timur Menggunakan Metode Empirical Bayes
EIGEN MATHEMATICS JOURNAL Pub Date : 2018-06-30 DOI: 10.29303/EMJ.V1I1.9
Muslimatun Toyyibah, D. Komalasari, Nurul Fitriyani
{"title":"Small Area Estimation Jumlah Penderita Penyakit TBC di Kabupaten Lombok Timur Menggunakan Metode Empirical Bayes","authors":"Muslimatun Toyyibah, D. Komalasari, Nurul Fitriyani","doi":"10.29303/EMJ.V1I1.9","DOIUrl":"https://doi.org/10.29303/EMJ.V1I1.9","url":null,"abstract":"Empirical Bayes is one of small area estimation method that can be used to predict small area parameters. The small area is defined as a subpopulation of small sample sizes. Empirical Bayes is suitable for use in counted data with Poisson-Gamma model. The purpose of this research was to determine the sub-districts that have the highest risk in the number of people with TBC disease in East Lombok Regency. Based on the results, the analysis showed that sub-districts with the highest risk were Sukamulia Sub-district with 1.65543 value of relative risk in 2014, Sambelia Sub-district with 1.80396 value of relative risk in 2015, and Sambelia Sub-district with 4.12718 values ov relative risk in 2016.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131024745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analisis Keberhinggaan Matriks Representasi atas Grup Berhingga 对终端矩阵表示分析
EIGEN MATHEMATICS JOURNAL Pub Date : 2018-06-30 DOI: 10.29303/EMJ.V1I1.10
Muhammad Taufan, Mamika Ujianita Romdhini, Ni Wayan Switrayni
{"title":"Analisis Keberhinggaan Matriks Representasi atas Grup Berhingga","authors":"Muhammad Taufan, Mamika Ujianita Romdhini, Ni Wayan Switrayni","doi":"10.29303/EMJ.V1I1.10","DOIUrl":"https://doi.org/10.29303/EMJ.V1I1.10","url":null,"abstract":"Representation of a finite group G over generator linear non singular mxm matrix with entries of field K defined by group homomorphism A : G → GL m (K) Basically, the non singular mxm matrix A(x) which representing the finite group G divided into two, that are the unitary matrix and non unitary matrix . If A(x) is a non unitary matrix, then there exist a unitary matrix which similar to A(x). This research deals to analyze the numbers of one example of a unitary matrix representation over arbitrary finite group G with order n that is permutation matrix, and the number of unitary matrix which is similar to real non unitary matrix representation of arbitrary finite group G order 2. The results showed the numbers of permutation matrix representation is n! and unitary matrix which is similar to non unitary matrix representation is 2.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125513599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Karakteristik Ideal Semiprima Fuzzy
EIGEN MATHEMATICS JOURNAL Pub Date : 2018-06-30 DOI: 10.29303/EMJ.V1I1.3
Abdurahim Abdurahim, Andy Sofyan Anas, H. R. P. Negara, Ahmad T. Ahmad, Gilang Primajati
{"title":"Karakteristik Ideal Semiprima Fuzzy","authors":"Abdurahim Abdurahim, Andy Sofyan Anas, H. R. P. Negara, Ahmad T. Ahmad, Gilang Primajati","doi":"10.29303/EMJ.V1I1.3","DOIUrl":"https://doi.org/10.29303/EMJ.V1I1.3","url":null,"abstract":"A function  is called as an fuzzy prime ideal if every fuzzy ideal of  and  satisfies  caused  or  and a function  is called as an fuzzy semiprime ideal if every fuzzy ideal of  which requires  caused . The previous research has been studied the ideal characteristics of fuzzy prime. Since not all ideal fuzzy semiprime are ideal fuzzy prime, resulted in some characteristic of fuzzy semiprime ideal do not exist in characteristics of the fuzzy prime ideal. This study examines the characteristics of the fuzzy semiprime ideal along with some examples of those characteristics.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114783220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimasi Parameter Model Moving Average Orde 1 Menggunakan Metode Momen dan Maximum Likelihood
EIGEN MATHEMATICS JOURNAL Pub Date : 2018-06-28 DOI: 10.29303/EMJ.V1I1.8
Nirwana Nirwana, Mustika Hadijati, Nurul Fitriyani
{"title":"Estimasi Parameter Model Moving Average Orde 1 Menggunakan Metode Momen dan Maximum Likelihood","authors":"Nirwana Nirwana, Mustika Hadijati, Nurul Fitriyani","doi":"10.29303/EMJ.V1I1.8","DOIUrl":"https://doi.org/10.29303/EMJ.V1I1.8","url":null,"abstract":"Autoregressive Integrated Moving Average is a model that commonly used to model time series data. One model that can be modeled is Moving Average (MA). In this study, the estimation of parameters was performed to produce the model estimator parameter, where if the order component of the MA model is known, then the methods that can be used are the Ordinary Least Square (OLS) method, Moment method, and Maximum Likelihood method. But in fact, there are often assumption deviations when using the OLS method, one of which occurs heteroscedasticity (variant is not constant) which is produce a poor estimator. This study used both Moment and Maximum Likelihood method in estimating the parameter of the 1 st Moving Average model, denoted by MA (1). The result showed that MA (1) parameter model using Moment method gave better result than Maximum Likelihood method. This can be seen from the value of Schwartz Bayesian Criterion (SBC) of both Moment and Maximum Likelihood method parameter estimator with magnified amount of data and various parameters values generated.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"195 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122517333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analisis Eksistensi Infimum Image Dari Fungsi Lower Semi-Continuous dari Atas
EIGEN MATHEMATICS JOURNAL Pub Date : 2018-06-28 DOI: 10.29303/emj.v1i1.4
Qurratul Aini
{"title":"Analisis Eksistensi Infimum Image Dari Fungsi Lower Semi-Continuous dari Atas","authors":"Qurratul Aini","doi":"10.29303/emj.v1i1.4","DOIUrl":"https://doi.org/10.29303/emj.v1i1.4","url":null,"abstract":"In some cases in applied mathematics, the continuous function is not used, but rather the weaker function, i.e. lower semi-continuous function from above. One of the basic properties of the function that needs to be known is the existence of the infimum value of the function image. In the case of a continuous function, the existence of infimum is assured by several assumptions, one of which is the function domain which is a closed set and the function is a bounded function. In this paper, we describe the properties that ensure the existence of infimum of the image of a lower semi-continuous function from above. Based on the results, it is found that the existence of infimum of the image of a lower semi-continuous function from above is assured in the domain which is a compact set and also assured if the function is a convex function.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127578440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Implementasi Algoritma IDA* (Iterative Deepening A*) Dalam Menentukan Solusi Terbaik Pada Permainan Othello Dengan Simulasi MATLAB
EIGEN MATHEMATICS JOURNAL Pub Date : 2018-06-23 DOI: 10.29303/emj.v1i1.1
Halilintar Nur Hidayatullah, Mamika Ujianita Romdhini, Irwansyah Irwansyah
{"title":"Implementasi Algoritma IDA* (Iterative Deepening A*) Dalam Menentukan Solusi Terbaik Pada Permainan Othello Dengan Simulasi MATLAB","authors":"Halilintar Nur Hidayatullah, Mamika Ujianita Romdhini, Irwansyah Irwansyah","doi":"10.29303/emj.v1i1.1","DOIUrl":"https://doi.org/10.29303/emj.v1i1.1","url":null,"abstract":"Permainan  Othello  adalah  permainan  logika  asal  jepang.  Permainan  ini dimainkan oleh dua orang pada papan persegi dengan bidak hitam dan bidak putih. Dibutuhkan strategi yang jitu untuk meraih kemenangan, sehingga pada penelitian ini memiliki 2 tujuan, pertama untuk menganalisis langkah-langkah yang akan ditentukan menggunakan algoritma IDA* ( Iterative Deepening A *) yang dinotasikan sebagai 𝑓(𝑛) = 𝑔(𝑛) + ℎ(𝑛) dengan 𝑔(𝑛) adalah jumlah langkah dari simpul  awal  menuju  simpul  n  dengan  m  jumlah  simpul,  dan  ℎ(𝑛)  adalah  jarak perkiraan  dari  simpul  n  menuju  simpul  tujuan.  Kedua  didapatkan  hasil  simulasi berdasarkan pemrograman MATLAB. Pada program simulasi ini digunakan matriks ukuran 6 × 6 dengan simbol 1, 2,  dan  0  yang  masing-masing  merepresentasikan  bidak  hitam,  bidak  putih,  dan kotak  yang masih kosong.  Dengan salah satu solusi  yang didapat pada program adalah hitam (9), putih (20), hitam (26), putih (10), hitam (11), putih (17), hitam (23),  putih (27), hitam (8), putih (6), hitam (12), putih (14), hitam (33), putih (28), hitam (29), putih (31), hitam (25), putih (30), hitam (7), putih (2), hitam (18), putih (13), hitam (19), putih (36), hitam (35), putih (1), hitam (3), putih (34), hitam (32), putih (4), hitam (5), putih (24). Dengan bobot  -min pada tiap iterasi 14, 15, 16, 17, 20, 15, 16, 18, 15, 16, 18, 17, 13, 14, 15, 16.","PeriodicalId":281429,"journal":{"name":"EIGEN MATHEMATICS JOURNAL","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133875072","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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