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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 210 Documents

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TEOREMA TITIK TETAP BANACH PADA RUANG METRIK-D Muhammad Ahsar Karim; Dewi Sri Susanti; Nurul Huda
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

In the space of metrics known the fixed point theorem of Banach. In this paper, the theorem will be constructed in the D-metric space. This study begins with construction concepts: open ball, open set, convergent lines, and Cauchy rows respectively in the D-metric space. Then given the concept of continuous mapping and mapping continuous uniform in the D-metric space. Further constructed Banach's fixed point theorem at in the D-metric space.

KESTABILAN SISTEM PREDATOR-PREY LESLIE Dewi Purnamasari; Faisal Faisal; Aisjah Juliani Noor
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 3, No 2 (2009): JURNAL EPSILON VOLUME 3 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Mathematical models are commonly used to describe physical and nonphysicalphenomena which appeared in the real world. Generally speaking, theapplication of mathematical models is usually formed into a differential equationsystem. For example, Predator-Prey Leslie system is one mathematical model ofnon-linier differential equation system which has been introduced by Leslie(1948). This system describes an interaction model between two populationswhich contain two equations as follows :ax bx cyxdtdx  dy 2 where a, b, c, e and f are positive constants.In the Predator-Prey Leslie system, the relationship between each variablein the interaction process between prey and preadtor is dependend and influencedby changing value of system. Therefore, this will effect to the stability system.The method of this research is a study of literature from relevant booksand journals. To obtain a stability system, the stability poits of a system have to befound firest, then continue with linierization. From this, it will obtainedcharacteristic roots or eigen values. These values will show a stable state atsystem equilibrium points.As a result, it is found that Predator-Prey Leslie system, in this case,reaches a stability at equilibrium point K2, but not the case at K1.

TES FORMAL MODUL PROJEKTIF DAN MODUL BEBAS ATAS RING OPERATOR DIFERENSIAL Na'imah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 5, No 1 (2011): JURNAL EPSILON VOLUME 5 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Suppose,,,,] 1 2 3 [n D  K d d d d d d linear differential operators with coefficients in K, which satisfy  a K; he = adi + ia. D is a linear differential carrier ring with the following properties: D not loading the divisor is zero, not commutative, and for every d d D i j, , i, j  1, , n and for every a, b  K apply i j i j i j ad (bd)  abd d  a ( b) d. Let M be a top module D formed from an ordinary differential linear system (OD) time-varying or partial differential linear (PD) system under control. Indicates M a projective module or a free module is used a formal test. The formal tests used are heavily dependent on characteristics of the module, ie For the projective module, the formal test used depends on kesurjektifan of the operator. As for the free module must be over a major ideal area.

PELABELAN GRACEFUL, SKOLEM GRACEFUL DAN PELABELAN ???? PADA GRAF H-BINTANG DAN A-BINTANG Nurul Huda; Zulfi Amri
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 6, No 2 (2012): JURNAL EPSILON VOLUME 6 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

The graph G = (V, E) is the ordered set of sets in which V is the set null node and E is a set of arcs. Labeling on graph G is determination of node and arc values or both with certain rules. Labeling graceful is the α α function of the set of vertices V to the set of numbers 0.1,2, .... ???? which induces the α 's bijtive function of the set of arc E to the set number 1,2, .... ???? where each arc uv ∈ E with node u, v ∈ V apply α '(uv) = α (????) - α (????). The graceful grid labeling is a modification of graceful labeling ie the injection function μ from the set of vertices V to the set of numbers 1,2, .... ???? yang induces the μj 's bijtive function of the arc set E to the set of numbers 1,2, .... ???? where each arc uv ∈ E with node u, v ∈ V apply μ '(uv) = μ (????) - μ (????). Labeling ρ is another modification of graceful labeling that is the γ injection function of the set of vertices V to the set of numbers 0.1, 2, .... ???? + 1 which induces the function bitif γ 'from the set of arc E to set of numbers 1,2, .... ???? where each arc uv ∈ E with node u, v ∈ V apply γ '(uv) = γ (????) - γ (????). The H-star chart is formed of the letter H and all its leaves are given a star graph ????????. A-star chart formed from letter A and all its leaves are given a star graph ????????. In this paper is given graceful label construction, graceful scheme and labeling ρ for H-star graphs A-star.

KOMPLEMEN IDEAL FUZZY DARI NEAR-RING Saman Abdurrahman
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 introduces the concept of conformation of the ideal fuzzy near-ring and ideal anti-fuzzy near-ring, and the relationship between the ideal fuzzy near-ring and its con- struction. The result of this study is that if α is the fuzzy ideal of the near-ring, then αc is the ideal fuzzy anti-near-ring, and also the opposite

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

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 PERMAINANAN LIGHT OUT MENGGUNAKAN ALJABAR LINIER Akhmad Basuki,; Thresye Thresye; Pardi Affandi
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

Sistem persamaan linier dapat diterapkan untuk mencari dan menyelidiki solusi dari permainan light out yang berukuran 3×3,4×4 dan 5×5. Dimana Permainan light out tersebut dibentuk kedalam sistem persamaan ????????????????=???????? dan dicari solusinya dengan menggunakan metode eliminasi Gauss Jordan. Tujuan penelitian ini adalah untuk menentukan permainan tersebut punya solusi atau tidak dan mencari solusi optimalnya. Penelitian ini dilakukan dengan cara studi literatur. Hasil dari penelitiannya adalah permainan light out yang berukuran 3×3 memiliki solusi tunggal untuk setiap kondisi permainan dan sedangkan permainan light out yang berukuran 4×4 dan 5×5 memiliki solusi untuk kondisi tertentu dan solusi yang dihasilkan tidak tunggal.

PENENTUAN PREMI TUNGGAL BERSIH ASURANSI JIWA BERJANGKA BERDASARKAN STATUS MULTIPLE DECREMENT Fitriani Fitriani; Aprida Siska Lestia; Yuana Sukmawaty
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

Insurance is an attempt of risk diversion by the insured person to the insurance company. The risk is referred to the future event that will potentially cause a financial loss. Based on many risk factors,the status of insurance was divided into a single decrement and a multiple decrement. In single decrement, the only factor caused benefit payment is death, while in multiple decrement there is more than one factors caused benefit payment. As a consequence, beside the random variable of time until termination , there is another random variable appears that is the cause of decrement . The aim of this study was to describe the development process of a multiple decrement table and determine net single premium based on multiple decrement status. This study was conducted by describing the construction process of components in the multiple decrement table using joint distribution and marginal distribution for each random variable. This study is a various equation for constructing a multiple decrement table was obtained. That probability equation was also used to form the net single premium equation of term insurance based on multiple decrement status by using probability function of time until termination and cause of termination. Keywords: Term Insurance, Multiple Decrement, Net Single Premium

MODEL SIR DENGAN ADANYA PENGARUH VAKSINASI DAN IMIGRAN Noor Fakhriani; Yuni Yulida; Faisal Faisal
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

Some major countries, immigration is a significant factor in the epidemic of a disease. Because the disease follows a predictable pattern of illness, so it can be checked with a standard SIR Model. Kermack and McKendrik SIR models can be developed with the effect of vaccinations and immigrants. The model is built on the assumption, and then determines the vaccination of reproduction number (Rv), determines the equilibrium point on the model, determines the type of stability of the equilibrium point and makes a simulation with the parameter values.

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

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 ???????? (????????, ????????) = ????????????????????????

Page 7 of 21 | Total Record : 210

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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

INDONESIA

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Home Page

OAI Link

Editorial Team

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Reviewer

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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

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

Abstract

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Abstract

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