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Epsilon: Jurnal Matematika Murni dan Terapan

epsilon
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Published by Universitas Lambung Mangkurat

ISSN : 19784422 EISSN : 26567660 DOI : http://dx.doi.org/10.20527

Core Subject : Science, Engineering,

Decision Sciences, Operations Research & Management Transportation

Jurnal Matematika Murni dan Terapan Epsilon is a mathematics journal which is devoted to research articles from all fields of pure and applied mathematics including 1. Mathematical Analysis 2. Applied Mathematics 3. Algebra 4. Statistics 5. Computational Mathematics

Arjuna Subject : Matematika - Matematika Terapan

Articles 190 Documents

3 4 5 6 7

PENYELESAIAN SISTEM PERSAMAAN DIFERENSIAL LINIER MELALUI DIAGONALISASI MATRIKS Edy Sarwo Agus Wibowo; Yuni Yulida; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 7, No 2 (2013): JURNAL EPSILON VOLUME 7 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

This paper discusses the application of matrix diagonalization to determine the general solution of a system of first order homogeneous linear differential equations. Furthermore, if the matrix of the system is not diagonalizable then the solution is determined through the fundamental matrix.

SYARAT PERLU DAN SYARAT CUKUP MATRIKS BERSIH PADA ????????????????(ℤ) Rohmalita Rohmalita; Na'imah Hijriati; Saman Abdurrahman
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 8, No 2 (2014): JURNAL EPSILON VOLUME 8 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

This paper describes the condition of a net matrix at ????????2 (ℤ) and describes the terms and conditions of sufficient net matrix at ????????2 (ℤ). The result of this study is, ???????? is the 1-net matrix if and only if ???????????????????????? (????????) -???? ???????? (????????) = 0 or -2. Then ???????? is the 0-net matrix if and only if ???????? is the unit matrix, or satisfies one of the equations ???????????? -????????????????-???????? + ???????????????? = ± 1, ???????????? -????????????????-???????? + ???????????????? = ± 1, ????-????????????????????2 + ( ????????-????????) ???????????????? + (????) ???? 2+ (????????) ???????? + (???????????? -????????????????-???????? ± 1) ???? = 0. And the requirement of ???????? is sufficient and ???????? is a 0-net matrix ie if ???????? = ????????????????????00????∈????????2 (ℤ) is a 0-net matrix then ???????? is a 0-net matrix.

PENENTUAN PREMI TUNGGAL PADA ASURANSI BERJANGKA CONTINGENT Wuri Setyana Sari; Yuni Yulida,; Aprida Siska Lestia
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 12, No 1 (2018): JURNAL EPSILON VOLUME 12 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

PENENTUAN PREMI TUNGGAL PADA ASURANSIAsuransi jiwa dapat diartikan sebagai perjanjian dimana tertanggung membayar premi kepada penanggung dan penanggung akan memberikan santunan jika tertanggung meninggal dunia. Dalam asuransi, tertanggung dapat membayarkan sejumlah uang kepada penanggung dengan menggunakan premi tunggal dimana pembayaran tersebut hanya dilakukan selama satu kali di awal perjanjian.Salah satu bagian asuransi jiwa joint life adalah asuransi jiwa contingent, yaitu jenis asuransi yang memberikan santunan dengan mengaitkan urutan kematian. Jika tertanggung mengikuti asuransi selama n tahun dan mengaitkan urutan kematian dalam menerima santunan maka jenis asuransi yang digunakan yaitu asuransi berjangka contingent. Tujuan dari penelitian ini adalah untuk membentuk rumusan premi tunggal pada asuransi jiwa berjangka contingent. Penelitian ini dilakukan dengan metode studi literatur. Hasil penelitian iniadalah terbentuknya rumusan premi tunggal bersih pada beberapa kasus asuransi berjangka contingent yaitu untuk dua tertanggung dan tiga tertanggung. Selanjutkanya diberikan ilustrasi pada kedua kasus.

PENDEKATAN DIAGONAL UNTUK MASALAH PENUGASAN Zahrotun Mu’alifah; Pardi Affandi; Akhmad Yusuf
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 13, No 2 (2019): JURNAL EPSILON VOLUME 13 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

The assignment problem is a problem related to the optimal assignment of different productive sources that have different levels of efficiency for different tasks. The assignment problem has only one optimization goal, is maximizing or minimizing the resource that use to complete a task. The purpose of this reaserch is to solve the assignment problem with the goal of maximizing or minimizing resource using the steps in the optimal diagonal approach. The steps used in this research with the goal of maximizing resources are looking for two different entries from the assignment cost matrix that has the greatest value of each row and column, whereash the goal of minimizing resource is looking for two different entries from the assignment cost matrix that has value the smallest of each row and column. The results obtained to resolve the assignment problem using an optimal diagonal approach with the goal of maximizing resource, reach the optimal solution if the sum of all diagonal cells is less than zero. While the results to solve the assignment problem with the goal of minimizing resources, reach the optimal solution if the sum of all diagonal cells more than zero. Keywords: Assignment Problem, Transportation Model, Diagonal Optimal Approach

SIMULASI PERGERAKAN TINGKAT BUNGA BERDASARKAN MODEL VASICEK Shantika Martha; Dadan Kusnandar; Naomi N. Debataraja
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 9, No 2 (2015): JURNAL EPSILON VOLUME 9 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Interest rate movements that change over time can be viewed as a stochastic process for continuous time. One model of interest rate movement for a continuous time is the Vasicek model. This study aims to describe the characteristics of interest rate movements based on the Vasicek model. In Vasicek model there are three parameters, k, θ, and σ. Based on the simulation result, it is seen that interest rate movement based on Vasicek model is mean reversion (tend to be around θ). The greater the value of k then the process of interest rate will be faster towards θ. While the greater the value of σ then the process will further deviate from θ.

ANTI SUBGRUP FUZZY Ahmad Yasir; Saman Abdurrahman; Nurul Huda
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 10, No 2 (2016): JURNAL EPSILON VOLUME 10 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Subgrup yaitu himpunan bagian tidak kosong dari suatu grup ???????? dan merupakan grup terhadap operasi yang sama dengan grup ????????. Perpaduan antara konsep aljabar dengan konsep fuzzy disebut subgrup fuzzy. Pada tahun 1998 R. Biswas memperkenalkan konsep lower level subset dari subset fuzzy, anti subgrup fuzzy, dan lower level subgrup. Tujuan dari penelitian ini membuktikan subset fuzzy dari grup adalah subgrup fuzzy jika dan hanya jika komplemen dari subset fuzzy adalah anti subgrup fuzzy dan membuktikan jika subset fuzzy adalah anti subgrup fuzzy maka lower level subset juga anti subgrup fuzzy. Metode yang digunakan studi literatur. Hasil dari penelitian ini adalah jika diberikan ???????? grup, suatu subset fuzzy ???????? di ???????? disebut anti subgrup fuzzy maka berlaku ????????(????????????????)≤max {????????(????????),????????(???? )} dan ????????(????????−1)≤????????(???? ) untuk setiap ????????,???? ∈????????. Kemudian diberikan ???????? subgrup fuzzy di ???????? jika dan hanya jika komplemen dari subgrup fuzzy (μc) adalah anti subgrup fuzzy. Jika suatu subset fuzzy ???????? dari ???????? dan untuk ????????∈[0,1] maka lower level subset dari ???????? adalah himpunan ????????????????????={????????∈????????|????????(????????)≤????????}, kemudian jika diberikan μ anti subgrup fuzzy di ???????? maka suatu subgrup ???????????????????? , ????????∈[0,1] dan ????????≥????????(????????), disebut lower level subgrup dari ????????. Selanjutnya jika ???????? adalah anti subgrup fuzzy di ???????? maka ???????????????????????????? adalah anti subgrup fuzzy di ???????? dengan ????????∈[????????(????????),1].Kata Kunci: Lower level subset, Anti subgrup fuzzy, Lower Level Subgrup.

IDEAL MAKSIMAL DAN IDEAL PRIMA NEAR-RING Saman Abdurrahman
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 4, No 2 (2010): JURNAL EPSILON VOLUME 4 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

This study discusses the near-ring ideal covering the ideal near-ring ideal and ideal prime near-ring. Next, we studied the relationship between ideal near-ring ideal and ideal prime near-ring.

METODE DEKOMPOSISI ADOMIAN LAPLACE UNTUK SOLUSI PERSAMAAN DIFERENSIAL NONLINIER KOEFISIEN FUNGSI Yuni Yulida
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 6, No 1 (2012): JURNAL EPSILON VOLUME 6 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

In this paper, the Adomian Laplace decomposition method and method are presented applied to determine the approximation solution for the ordinary nonlinear differential equations with functional coefficients. This method combines Laplace and Laplace transformation theory The nonlinearities of the differential equations are described by the Adomian polynomial.

IDEAL PRIMA FUZZY NEAR-RING Saman Abdurrahman; Na'imah Hijriati; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 7, No 1 (2013): JURNAL EPSILON VOLUME 7 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

We discuss the prime ideal of near-ring, fuzzy prime ideal of near-ring whichincludes the relationship between prime ideal of near-ring and fuzzy prime ideal of near-ring.

HOMOMORFISMA DARI LEVEL SUBNEAR-RING FUZZY Saman Abdurrahman
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 8, No 2 (2014): JURNAL EPSILON VOLUME 8 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

This paper introduces the concept of subnear-ring level in the fuzzy subnear-ring. Result of this study is the image and pre-image homomorphism of the near-ring of the inner subnear-ring level The fuzzy subnear-ring is the subnear-ring level in the fuzzy subnear-ring.

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Yuni Yulida

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epsilon@ulm.ac.id

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Mathematics Department, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat University. Jl. A. Yani KM.35.8 Banjarbaru, Kalimantan Selatan

Location
Kota banjarmasin,

Kalimantan selatan

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Home Page

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Contact Name Yuni Yulida

Contact Email y_yulida@ulm.ac.id

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Editorial Address Mathematics Department, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat University. Jl. A. Yani KM.35.8 Banjarbaru, Kalimantan Selatan

Location Kota banjarmasin, Kalimantan selatan INDONESIA

Abstract

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Contact Name
Yuni Yulida

Contact Email
y_yulida@ulm.ac.id

Phone
+6281348054202

Journal Mail Official
epsilon@ulm.ac.id

Editorial Address
Mathematics Department, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat University. Jl. A. Yani KM.35.8 Banjarbaru, Kalimantan Selatan

Location
Kota banjarmasin,

Kalimantan selatan

INDONESIA