Eigen Mathematics Journal
Not a member yet
116 research outputs found
Sort by
Model Regresi Nonparametrik Deret Fourier pada Pola Data Curah Hujan di Kota Mataram
Rainfall is one of the elements of the climate that has influence on people's lives in West Nusa Tenggara Province. Thecapital city of West Nusa Tenggara Province (NTB), namely the City of Mataram, in December 2016 was affected byflood disaster due the rainfall increation. This causes all activities in the City of Mataram paralyzed. This study aimed tomodelling the rainfall and to determine the rainfall grade prediction in the City of Mataram in 2017. The method usedwas nonparametric regression of Fourier series. Based on the results of the analysis that has been committed, the bestFourier series of nonparametric regression model obtained at the Selaparang station was a model with 101 number ofknots and 0.959116 value of R2 . For the Ampenan station, the best model obtained with 101 knots and 0.966992 valueof R2 . As well as for the Cakranegara station, the best model obtained with 106 number of knots and 0.987778 value ofR2
Submodul Prima Lemah dan Submodul Hampir Prima Pada Z‐modul M_2x2 (Z_9)
Prime submodule is the abstraction to module theory of prime ideal in ring theory. A proper submodule N of an R-module M is called prime submodule if for all r in R and m in M such that rm in N implies r in (N:M) or m in N. Prime submodule also generalized into weakly prime submodule and almost prime submodule. This study deal with particular cases of both of them in Z-module M_2x2(Z_9), the three submodules are equivalent in case of non-zero submodule
Usulan Rute Optimal Distribusi Sampah Shift I Kota Sumbawa Besar Menggunakan Metode GVRP
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
Karakteristik Ideal Semiprima Fuzzy
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
Prediksi Curah Hujan Bulanan Di Kota Samarinda Menggunakan Persamaan Regresi Dengan Prediktor Data Suhu dan Kelembapan Udara
Prediksi curah hujan bulanan dengan menggunakan prediktor suhu udara dan kelembapan udara telah dilakukan. Data diperoleh dari Stasiun Meteorologi Temindung Samarinda. Evaluasi dilakukan dengan membandingkan dan menghitung besarnya penyimpangan prediksi curah hujan bulanan terhadap hujan hasil observasi. Data yang digunakan adalah data harian yang dijumlahkan dan diratakan pada setiap bulannya. Untuk menganalisa digunakan data dari tahun 2005 sampai 2015 sedangkan data tahun 2016 untuk membandingkan hasil prediksi terhadap observasi. Prediksi curah hujan bulanan menggunakan metode regresi linier berganda. Hasil pengolahan data menunjukkan bahwa secara umum prediksi curah hujan bulanan tahun 2016 di kota Samarinda mengalami under estimate (lebih kecil dari nilai aktualnya) dan hasil prediksi yang paling baik terjadi pada bulan Oktober. Prediksi curah hujan bulanan dengan prediktor suhu dan kelembapan udara menghasilkan nilai koefisien korelasi sangat kuat dan RMSE yang baik yaitu r = 0.93 dan RMSE = 46,26%
Small Area Estimation dengan Metode Hierarchical Bayes pada Proporsi Destinasi Objek Wisata Halal Kabupaten Lombok Barat
Research using Hierarchical Bayes (HB) applied to Small Area Estimation (SAE) was conducted with the aim to estimate the proportion of halal tourism destination in West Lombok Regency. The development of halal taourism object in West Lombok that has been done by the Departement of Culture and Tourism, has not been fully able to do direct estimation on a small area, such as at the sub-district level. One way of obtaining estimation data up to the sub-district level is by increasing the sample size. However, increasing the sample size will cost time and money. Therefore, SAE method can be used to solve the poblem of data optimization. Furthermore, the HB method is used in the process of finding the expected alleged value. The prediction process was performed using Markov Chain Monte Carlo (MCMC) by applying the conditional Gibbs Algorithm of Metropolis-Hasting. Indirect modeling using HB method on SAE is based on the Fay-Herriot model for the area level with the help of supporting variables. The estimation results were then compared with the direct estimates with the value of the variance statistic as a benchmark. The results showed that the estimation using HB gave in a smaller average of variance value score of 0.021, compared with direct estimates with an average of variance value of 0.042. This showed that indirect estimation using HB method gave better result than using direct estimation method