cover
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
Epsilon: Jurnal Matematika Murni dan Terapan
ISSN : 19784422     EISSN : 26567660     DOI : http://dx.doi.org/10.20527
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
Articles 6 Documents
Search results for , issue "Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1" : 6 Documents clear
SIFAT-SIFAT FUNGSI PHI EULER DAN BATAS PRAPETA FUNGSI PHI EULER Rizkun As Syirazi; Thresye Thresye; Nurul Huda
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (227.993 KB) | DOI: 10.20527/epsilon.v11i1.115

Abstract

Little Fermat's theory successfully generalized by Euler using Euler's phi function, The phi function Euler φφ (????????) is defined as the number of not more than ???????? and prime with ????????. Gupta (1981) says not all of the original numbers are a range element φφ. The purpose of this study is to determine the properties of the Euler phi function and determine the lower bound and upper limit of the preample of a number under the phi Euler function. This study is a literature study by collecting and studying various references related to the research topic. The result obtained is the relationship of the original number to the map of the number when it is imposed with the phi Euler function and the Euler's function preleta limits, both the lower and upper limits. The limit can be used to specify the set ofprapeta a number under the phi euler function
OPTIMASI MASALAH TRANSPORTASI FUZZY MENGGUNAKAN METODE FUZZY MODIFIED DISTRIBUTION UNTUK MEMPREDIKSI BIAYA ANGKUTAN TOTAL DAN ALOKASI BARANG (PAKAN TERNAK) (Studi Kasus : CV. Mentari Nusantara Feedmill) Ahmad Jufri; Akhmad Yusuf; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (257.451 KB) | DOI: 10.20527/epsilon.v11i1.116

Abstract

Parameters in transportation problems include transport of cost, supply and demand not always ascertainable for sure and alterable over time. Because, uncertainty mentioned so can use fuzzy numbers. The use of fuzzy numbers on transport of costs, supply and demand resulted in the formation of fuzzy transportation problem. By using fuzzy transportation problem the total transport cost and commodity allocation can be predicted. Purpose of this study is to predict the total transport cost and commodity allocation. This study is a case study which collects data parameters from CV. Mentari Nusantara Feedmill. From the data research , obtained the initial solution total transport cost in February use Fuzzy North West Corner amounted Rp.33.136.709. And to determine the optimality of the initial solutions obtained use the Fuzzy Modied Distribution to obtain the total transport cost prediction in February amounted Rp.31.965.025. And also obtained the prediction allocation of commodity in February for Depo Cash Martapura amounted 6.192 kg, Depo Nalem Sembiring amounted 51.400 kg, Depo Siti Kamilah amounted 18.792 kg and Depo Tjou Tjie amounted 33.200 kg
KEKONVERGENAN SOLUSI PERSAMAAN DIFERENSIAL BIASA ORDE SATU MENGGUNAKAN METODE ITERASI VARIASIONAL Dita Apriliani; Akhmad Yusuf; Mohammad Mahfuzh Shiddiq
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (159.026 KB) | DOI: 10.20527/epsilon.v11i1.112

Abstract

Ordinary differential equation (ODE) is an equation involving derivatives of one or more dependent variables with respect to single independent variable. ODE is grouped into two part; linear and nonlinear. There are some methods to determine the solution of nonlinear ODE, one of them is Variational Iteration Method. This method create a correction functional using general Lagrange multiplier and a restricted variational. The purpose of this research is to prove convergence and solution ordinary differential equation using variational iteration method. This study was conducted by literary method. This result is show that If operator of correction satisfy contraction inequality ‖????????????????+1‖≤???????? ‖????????????????‖ where 0<????????<1, then series solution from differential equation nonlinear converge to exact solution and can be used to determine the nonlinear solution.
SOLUSI PERSAMAAN DIFERENSIAL PARSIAL LINIER ORDE DUA MENGGUNAKAN METODE POLINOMIAL TAYLOR Rezky Putri Rahayu; Yuni Yulida; Thresye Thresye
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (197.88 KB) | DOI: 10.20527/epsilon.v11i1.38

Abstract

Partial differential equation is an equation containing a partial derivative of one or more dependent variables on more than one independent variable. In the differential equation there are coefficients in the form of constants and functions. The solution of a partial differential equation whose coefficients are constants is easily determined. However, the solution of the differential equations whose coefficients are functions is quite difficult to determine. One method that can be used to determine the solution is by using Taylor polynomial. This method can be used in second-order linear partial differential equation with coefficient of function with two independent variables. The purpose of this research is to determine the Taylor polynomial solution on second-order linear partial differential equation. In this research we get solution from second-order linear partial differential equation by assuming solution in the form of polynomial of Taylor having degree ???????? ???????? (????????, ????????) = ????????αα????????, ???????? (????????-????????0) ???????? (????????-????????1) ????????, ???????????????? = 0???????????????? = 0 with αα????????, ???????? = 1????????! ????????! ???????? (????????, ????????) (????????0, ????????1) is the Taylor polynomial coefficient, or can be expressed in terms of the matrix equation ???????? (????????, ????????) = ????????????????????????
MEMETRIKKAN RUANG MERIK CONE DENGAN MENORMKAN RUANG BANACH Ahmad Maulidi; Mohammad Mahfuzh Shiddiq; Nurul Huda
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (409.12 KB) | DOI: 10.20527/epsilon.v11i1.113

Abstract

Huang and Zhang introduced the cone metric space, by replacing codomain from the set of real numbers into an ordered Banach space on a cone, where the cone is a non empty subset of real Banach space that satisfy certain other properties. In this study also explained about the norm space which is a pair of a vector space with a norm that satisfy some specific properties. Furthermore, Banach space is a complete norm space and space norm says completed if every Chaucy sequence in norm space is convergent.In this paper, the researcher want to study how to metrizability of metric spaces via renorming the Banach spaces. This research was conducted by explaining and proving how to metrizability of cone metric spaces via renorming the Banach spaces. The result is a metric space cone can be made into an ordinary metric space with a metric defined by ????????(????????,????????)=‖|????????(????????,????????)|‖
PRODUK KARTESIAN IDEAL FUZZY PADA RING Sapuah Sapuah; Saman Abdurrahman; Nurul Huda
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (145.555 KB) | DOI: 10.20527/epsilon.v11i1.114

Abstract

The concept of algebra fuzzy was initially introduced by Rosenfeld in 1971. In 1991, Malik and Moderson explained if cartesian product of two fuzzy subgroup from same group, then it was fuzzy subgroup too and if cartesian product of two fuzzy ideal from same ring, then it was fuzzy ideal too. We discuss the cartesian product of two or more fuzzy subgroups from different group, then it was fuzzy subgroup too and cartesian product of two or more fuzzy ideal from different ring, then it was fuzzy ideal too.

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