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Yuni Yulida
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Mathematics Department, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat University. Jl. A. Yani KM.35.8 Banjarbaru, Kalimantan Selatan
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Epsilon: Jurnal Matematika Murni dan Terapan
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 7 Documents
 1 
Search results for , issue "Vol 13, No 2 (2019): JURNAL EPSILON VOLUME 13 NOMOR 2" : 7 Documents clear
APLIKASI PRINSIP INKLUSI EKSKLUSI DALAM METODE KOMBINASI SENSUS PENDUDUK 2020 Notiragayu Notiragayu; Amanto Amanto; Dorrah Aziz
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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (241.689 KB) | DOI: 10.20527/epsilon.v13i2.1647

Abstract

The 2020 population census (SP 2020) uses a new method called the combination method by utilizing basic population registration data available at the Directorate General of Civil Registration, the community register independently (CAWI) and door to door data collection by officers (PAPI and CAPI). Data on the number, composition, distribution, and characteristics of the population with this new method is prone to overlapping, one data is counted several times which results in the calculation of bias from the actual amount. This paper shows how the principle of exclusion inclusion can be applied to overcome data that is counted several times. Keywords : combined method, overlapping, The Principle of Inclusion-Exclusion
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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (268.782 KB) | DOI: 10.20527/epsilon.v13i2.1648

Abstract

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
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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (241.203 KB) | DOI: 10.20527/epsilon.v13i2.1649

Abstract

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
TITIK TETAP PERSEKUTUAN EMPAT PEMETAAN KONTRAKTIF PADA RUANG METRIK CONE Mawaddah, Ainal; Shiddiq, Muhammad Mahfuzh; Huda, Nurul
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 13, No 2 (2019): JURNAL EPSILON VOLUME 13 NOMOR 2
Publisher : Mathematics Department, Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v13i2.2049

Abstract

Huang Long Guang dan Zhang Xian pada tahun 2006 telah memperkenalkan metrik yang lebih baru yang disebut metrik cone. Suatu himpunan tak kosong X yang dilengkapi metrik cone d disebut ruang metrik cone. Suatu pemetaan memiliki titik tetap yang tunggal jika pemetaan tersebut merupakan pemetaan kontraktif. Konsep titik tetap persekutuan di ruang metrik cone juga harus memenuhi beberapa kondisi pemetaan yang bersifat coincidence point, point of coincidence, dan kompatibel lemah. Penelitian ini mengkaji titik tetap persekutuan untuk empat pemetaan yang kontraktif pada ruang metrik cone. Hasil penelitian ini menunjukkan bahwa empat pemetaan S, T, I dan J memiliki titik tetap persekutuan yang tunggal pada ruang metrik cone.Kata Kunci: ruang metrik cone, titik tetap persekutuan, pemetan kontraktif, coincidence point, point of coincidence, kompatibel lemah
TITIK TETAP PERSEKUTUAN EMPAT PEMETAAN KONTRAKTIF PADA RUANG METRIK CONE Ainal Mawaddah; Muhammad Mahfuzh Shiddiq; Nurul Huda
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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (309.627 KB) | DOI: 10.20527/epsilon.v13i2.2468

Abstract

called cone metrics. A non-empty set X with a metric cone d is called cone metric space. A mapping has a unique fixed point if the mapping is contractive mapping. The concept of a fixed point of fellowship in the cone metric space must also satisfy some coincidence point, point of coincidence, and weakly compatible mapping conditions. This study examines the fixed point of fellowship for four contractive mappings in the cone metric space. The result of this study indicate that four mapping S, T, I and J have a unique fixed point of association in the cone metric space.Keywords: cone metric space, common fixed point,contractive mapping, coincidence point, point of coincidence, weakly compatible.
PENGINTEGRALAN MENGGUNAKAN ATURAN SIMPSON UNTUK INTERVAL TITIK YANG TIDAK SAMA Fitriani Fitriani; Akhmad Yusuf; Yuni Yulida
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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (313.026 KB) | DOI: 10.20527/epsilon.v13i2.2469

Abstract

In general, numerical integration is carried out at the same point intervals. But in reality, it is sometimes faced with the problem of integrating a function with unequal point intervals. One method to calculating integrals at unequal interval points is the Simpson rule. Based on it, the research aims to form a general formula of numerical integration for unequal interval points and Simpson rule equation by using the Newton interpolation formula with divided differences, also an errors for unequal interval points by integrating the Taylor’s series. The results of this research were obtained a general formula of numerical integration for unequal interval points, general formula of Simpson's 1/3-rule, general formula of the Simpson's 3/8-rule, and an error for each other’s Simpson’s rules.Keywords : Numerical Integration, Simpson's 1/3-Rule, Simpson's 3/8-Rule, Error.
ANALISIS KRIGING UNTUK MENDETEKSI POLA SPASIAL KASUS DBD DI KABUPATEN TANAH LAUT Sri Mulyanie Hardiyanthy; Dewi Sri Susanti; Thresye Thresye
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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (357.108 KB) | DOI: 10.20527/epsilon.v13i2.1646

Abstract

Geostatistics is a data processing in geological field that contains spatial information in it. Spatial information is information that identifies geographical location, characteristics of natural conditions and boundaries of the earth. Geostatistics is used to handle regionalized variables. One of the method that used to handle regionalized variables is the kriging method. The kriging method has a lot of expansion in its development, including the Simple Kriging method and the Cokriging method. Both of these methods will be applied in case studies of spatial patterns of dengue in Tanah Laut District. The purpose of this study was to estimate the distribution pattern of DHF in Tanah Laut District and compare the results of the RMSE method of Simple Kriging and Cokriging. The smallest RMSE value was compared and selected, followed by estimation using the Cokriging and Simple Kriging methods. From the two methods used the smallest RMSE value is in the Simple Kriging method. But when you looked from the thematic map of the distribution of dengue patients with the Cokriging and Simple Kriging method, it can be seen that the Cokriging method has a more diverse pattern.   Keywords: geostatisticts , Cokriging , Simple Kriging , DHF

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