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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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INDONESIA
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 6 Documents
 1 
Search results for , issue "Vol 9, No 1 (2015): JURNAL EPSILON VOLUME 9 NOMOR 1" : 6 Documents clear
HUBUNGAN ANTARA TRANSFORMASI LAPLACE DENGAN TRANSFORMASI ELZAKI Arie Wijaya; Yuni Yulida; Faisal Faisal
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 9, No 1 (2015): JURNAL EPSILON VOLUME 9 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 (204.153 KB) | DOI: 10.20527/epsilon.v9i1.4

Abstract

Laplace transform is a transformation method used to solve differential equations. The Laplace transform was first introduced by Pierre Simon Marquas De Laplace, a French mathematician and a professor in Paris. In addition to the Laplace transform, there is also a transformation of the Elzaki transformation which is a special transformation of the Laplace transform. The Elzaki transformation was introduced by Tarig M. Elzaki to find a solution of ordinary differential equations. Generally these two transformations are used to solve linear differential equations, in the transformation process using integral with a range from 0 to ∞. Unlike Elzaki's transformation, the Laplace transform does not have integral integral operators with ???????? variables. The purpose of this research is to find the relationship between Laplace transformation with Elzaki transformation. The result of this research indicates that Elzaki's transformation of a function ???????? (????????) has a relationship with Laplace transformation ie ???????? (????????) = ????????????????????1???????????? while for Laplace transformation ???? (????????) = ???????????? ????1???????????? with ???????? (????????) and ???? (????????) are the Elzaki and Laplace transforms of ???????? (????????), respectively. Based on the above relationship we can obtain the Elzaki transformation properties corresponding to the Laplace transform.
TEOREMA TITIK TETAP PADA RUANG NORM-???? BERDIMENSI HINGGA Moh Januar I Burhan
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 9, No 1 (2015): JURNAL EPSILON VOLUME 9 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 (218.216 KB) | DOI: 10.20527/epsilon.v9i1.3

Abstract

In this paper, the fixed point theorem will be discussed in the space norm-2 (????????, ‖ ∙, ∙ ‖) dimension until which is an improvement of the fixed point theorem discussed by Gunawan in [2]. By defining the norm ‖ ∙ ‖1 * derived from norm-2 ‖ ∙, ∙ ‖, there is a convergence of sequences in space (????????, ‖ ∙ ‖1 *) and space (????????, ‖ ∙, ∙ ‖). These results will be used to prove the Fixed Point Theorem.Kata kunci : norm - 2, norm, teorema titik tetap.
IDEAL FUZZY RING Nailah Nailah; Saman Abdurrahman; Na'imah Hijriati
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 9, No 1 (2015): JURNAL EPSILON VOLUME 9 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 (217.638 KB) | DOI: 10.20527/epsilon.v9i1.5

Abstract

At this time the research on the ideal ring not only exist in the structure but can be combined with the concept of fuzzy set is the ideal fuzzy ring. This study proves the properties that express the relationship between ideal ring and ideal fuzzy ring. The study was conducted by studying literature from various sources, both books and journals that support and relevant to the review conducted. Based on the research, it is found that the ideal properties of fuzzy ring is if μμ ideal fuzzy in ring R and μμ (????????) <μμ (????????) for each ????????, ????????∈???????? apply μμ (????????-????????) = μμ (????????) = μμ (????????-????????). The properties that express the relationship between the ideal ring and the ideal fuzzy ring are a fuzzy subset is the fuzzy ideal in R if and only if the subset level μμ???????? is ideal in R, if I is ideal in R then there is μμ which is the ideal fuzzy ring in R such that μμ???????? = ???????? and the similarity nature of the two subset levels of a fuzzy subset in the ring are the same if and only if there is no ????????∈???????? such that ????????1≤μμ (????????) <????????2, and if μμ is ideal fuzzy in ring R then the ideal level of μμ is μμ????????0⊆μμ????????1⊆ ⋯ ⊆μμ???????????????? = ????????
JOINT LIFE DALAM ASURANSI JIWA BERJANGKA Dini Hidayati; Dewi Anggraini; Dewi Sri Susanti
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 9, No 1 (2015): JURNAL EPSILON VOLUME 9 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 (232.129 KB) | DOI: 10.20527/epsilon.v9i1.6

Abstract

Generally in life insurance apply the condition of single life and joint life. Single life condition on life insurance is a condition when someone who wants to buy an insurance policy only for himself, meaning that can not be replaced by other people or parties. While the condition of joint life is a condition when two or more people who want to buy an insurance policy. For example husbands, wives, parents, and children, so there is dependence between policyholders either in joint opportunities, the sum insured, or premium payments. This study aims to determine the form of life and death opportunities for 3 policyholders, and joint life formulation in term and term life insurance. This research is a literature study, ie researchers collect materials or materials related to the research topic. Then study and re-explain the concept by applying it to the sample problem. The results of this study indicate that the chances of life and death for 3 people policyholders shaped mxyznp = () Σ = 3miixyznp. The term life joint annuity depends on the chance of living together and certain interest in the form of: xyzna = Σ - = ++ 1011ntxyzttpv and: xyzna = Σ- = 10ntxyzttpv. Insurance joint life futures depend on the chance of dead together and a particular interest in the form of 1: xyznA = Σ - = + 101ntxyzttqv.
PERAMALAN CURAH HUJAN DI KALIMATAN SELATAN DENGAN JARINGAN SYARAF TIRUAN Gt.Khiruddin Indra Permana; Ahmad Yusuf; Nur Salam
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 9, No 1 (2015): JURNAL EPSILON VOLUME 9 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 (274.795 KB) | DOI: 10.20527/epsilon.v9i1.7

Abstract

South Kalimantan is in the area of high rainfall so it is included in the criteria of the rainy season. Artificial Neural Network (ANN) is one method that can identify patterns of data from rainfall forecasting system by conducting training method. One of the model ANN used is Backpropagation (BP). The training of a network using BP consists of 3 steps, namely: feedforward input pattern training, calculation and BP from the set of error and weight adjustment. The purpose of this research is to predict rainfall in South Kalimantan in 2015 using JST BP. The research method used in this research is literature study and case study related to rainfall forecasting, JST and BP. This research procedure will begin by collecting data, analyzing data and training data then predicting the data to be achieved. The results of this research is the highest rainfall in South Kalimantan in 2015 occurred in the area of Martapura Kota Kab. Banjar in January. In this period of the month there is a possibility that the area will experience an increase in water level or flood. While the lowest rainfall occurred in the region Pelaihari Kab. Land of the Sea around August and September. In this period the rainfall is so low that the area is likely to be in dry conditions.
REGRESI POISSON TERGENERALISASI I DALAM MENGATASI OVERDISPERSI PADA REGRESI POISSON Zakiah Zakiah; Nur Salam; Dewi Anggraini
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 9, No 1 (2015): JURNAL EPSILON VOLUME 9 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 (157.462 KB) | DOI: 10.20527/epsilon.v9i1.8

Abstract

Regression analysis is one method to determine and test the causality relationship (cause-effect) between the dependent variable (Y) with the independent variables (X). In general, regression analysis is used to analyze non-free variable data in the form of continuous data and normal distribution. However, in some applications, non-free variable data to be analyzed in the form of discrete data and not normally distributed. One of the regression models that can be used to analyze the relationship between the dependent variable (Y) in the form of discrete data is Poisson regression model whose dependent variable is Poisson distributed. Poisson regression has the assumption of equidispersion that is the condition in which the mean and variance values of the dependent variable are equal, but sometimes there is an assumption violation, where the value of variance is greater than the so-called overdispersion value, so to overcome it can be used one of the extensions of the regression model Poisson is Poisson regression model generalized, this is because the assumption does not require the same mean value with the value of variance. The purpose of this study is how to estimate the Poisson regression model and Poisson regression model generalized I and explain how the generalized Poisson regression model I in overcoming the overdispersion in Poisson regression.

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