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EIGEN MATHEMATICS JOURNAL

eigen
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Published by Universitas Mataram

ISSN : 26153599 EISSN : 26153270 DOI : -

Core Subject : Education,

Mathematics

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.

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Articles 8 Documents

Search results for , issue "Vol 1 No 1 Juni 2018" : 8 Documents clear

Small Area Estimation Jumlah Penderita Penyakit TBC di Kabupaten Lombok Timur Menggunakan Metode Empirical Bayes Muslimatun Toyyibah; Desy Komalasari; Nurul Fitriyani
Eigen Mathematics Journal Vol 1 No 1 Juni 2018
Publisher : University of Mataram

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.

Implementasi Algoritma IDA* (Iterative Deepening A*) Dalam Menentukan Solusi Terbaik Pada Permainan Othello Dengan Simulasi MATLAB Halilintar Nur Hidayatullah; Mamika Ujianita Romdhini; Irwansyah Irwansyah
Eigen Mathematics Journal Vol 1 No 1 Juni 2018
Publisher : University of Mataram

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 ????(????) = ????(????) + ℎ(????) dengan ????(????) adalah jumlah langkah dari simpul awal menuju simpul n dengan m jumlah simpul, dan ℎ(????) 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.

Estimasi Parameter Model Moving Average Orde 1 Menggunakan Metode Momen dan Maximum Likelihood Nirwana Nirwana; Mustika Hadijati; Nurul Fitriyani
Eigen Mathematics Journal Vol 1 No 1 Juni 2018
Publisher : University of Mataram

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 1st 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.

Analisis Eksistensi Infimum Image Dari Fungsi Lower Semi-Continuous dari Atas Qurratul Aini
Eigen Mathematics Journal Vol 1 No 1 Juni 2018
Publisher : University of Mataram

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.

Submodul Prima Lemah dan Submodul Hampir Prima Pada Z‐modul M_2x2 (Z_9) I Gede Adhitya Wisnu Wardhana; Ni Wayan Switrayni; Qurratul Aini
Eigen Mathematics Journal Vol 1 No 1 Juni 2018
Publisher : University of Mataram

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.

Karakteristik Ideal Semiprima Fuzzy Abdurahim Abdurahim; Andy Sofyan Anas; Habib Ratu Perwira Negara; Ahmad Ahmad; Gilang Primajati
Eigen Mathematics Journal Vol 1 No 1 Juni 2018
Publisher : University of Mataram

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.

Analisis Keberhinggaan Matriks Representasi atas Grup Berhingga Muhammad Taufan; Mamika Ujianita Romdhini; Ni Wayan Switrayni
Eigen Mathematics Journal Vol 1 No 1 Juni 2018
Publisher : University of Mataram

Representation of a finite group G over generator linear non singular mxm matrix with entries of field K defined by group homomorphismA : G → GLm(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.

Analisis Automorfisma Graf Pembagi-nol dari Ring Komutatif dengan Elemen Satuan Kurniawan Sugiarto; Mamika Ujianita Romdhini; Ni Wayan Switrayni
Eigen Mathematics Journal Vol 1 No 1 Juni 2018
Publisher : University of Mataram

Zero-divisor graphs of a commutative ring with identity has 3 specific simple forms, namely star zero-divisor graph, complete zero-divisor graph and complete bipartite zero-divisor graph. Graph automorphism is one of the interesting concepts in graph theory. Automorphism of graph G is an isomorphism from graph G to itself. In other words, an automorphism of a graph G is a permutation φ of the set points V(G) which has the property that (x,y) in E(G) if and only if (φ(x),φ(y)) in E(G), i.e. φ preserves adjacency.This study aims to analyze the form of zero-divisor graph automorphisms of a commutative ring with identity formed. The method used in this study was taking sampel of each zero-divisor graph to represent each graph. Thus, pattern and shape of automorphism of each graph can be determined. Based on the results of this study, a star zero-divisor graph with pattern K_1,(p-1), where p is prime, has (p-1)! automorphisms, a complete zero-divisor graph with pattern K_(p-1), where p is prime, has (p-1)! automorphisms, and a complete bipartite zero-divisor graph with pattern K_(p-1),(q-1), where p is prime, has (p-1)!(q-1)! automorphisms, when p not equals to q and 2((p-1)!(q-1)!) automorphisms when p=q.

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Contact Name
Ni Wayan Switrayni

Contact Email
niwayan.switrayni@unram.ac.id

Phone
-

Journal Mail Official
eigen@unram.ac.id

Editorial Address
-

Location
Kota mataram,

Nusa tenggara barat

INDONESIA