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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 10 Documents
 1 
Search results for , issue "Vol 17, No 2 (2023)" : 10 Documents clear
PERAMALAN JUMLAH PRODUKSI TANDAN BUAH SEGAR (TBS) KELAPA SAWIT MENGGUNAKAN METODE FUZZY TIME SERIES (STUDI KASUS: PT KALIMANTAN SAWIT KUSUMA) Rizka Indriyani Pratiwi; Nur Salam; Maisarah Maisarah
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 2 (2023)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v17i2.9338

Abstract

Palm oil is a type of plantation crop that occupies an important position in the agricultural and plantation sectors. This is because oil palm is the largest producer of economic value per hectare in the world. The oil produced by palm oil comes from Fresh Fruit Bunches (FFB) which consist of various levels of maturity. PT Kalimantan Sawit Kusuma is experiencing instability in the amount of production, so forecasting is needed to estimate how to keep the amount of production stable. The method used is fuzzy time series (FTS), which is data forecasting that applies fuzzy sets as a basis for forecasting modeling by processing past data patterns to be applied in predicting future data. The goal is to obtain forecasting results for FFB production from April 2023 to December 2023 and obtain a Mean Absolute Percentage Error (MAPE) value. Forecasting results of Palm Oil FFB Production applying FTS Lee Order 1 in April 2023 to December 2023 are 8,412, 8,309, 8,309, 8,309, 8,309, 8,309, 8,309, 8,309 and 8,309 tons with a MAPE value of 9.07046%. While the forecasting results for Palm Oil FFB Production using FTS Lee Order 2 for April 2023 to December 2023 are 7,309, 8,559, 7,309, 8,559, 7,309, 7,309, 8,559 and 7,309 tons with a MAPE value of 4.80541%.
ANALISIS KESTABILAN MODEL PREDATOR PREY DENGAN TINGKATAN USIA PADA DUA PREY DAN DUA PREDATOR DENGAN FUNGSI RESPON MONOD HALDANE DAN KANIBALISME Robiatul Witari Wilda; Dita Monita; Febrianto Afli; Ahmad Muammar Kadafi
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 2 (2023)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v17i2.10685

Abstract

This paper discusses a predator-prey stage structure model for two predators and two preys with Monod Haldane and cannibalism response functions that describe the interactions between populations of young prey, adult prey, young predator, and adult predator. In this model it is assumed that only adult predators are capable of attacking to consume young predators, only adult prey are capable of reproduction, there is a Monod-Haldane effect describing the phenomenon of group defense where predation is reduced, or even prevented altogether, because the ability increases from prey for further defense or camouflage when their numbers are large enough. Dynamic analysis is carried out by determining the equilibrium point and its existence conditions and analyzing the local stability of the equilibrium point. The predator-prey model has three equilibrium points, namely the trivial equilibrium point, the prey free equilibrium point and an interior point that exists under certain conditions. The equilibrium points is locally asymptotically stable under certain conditions. The results of the numerical simulations show suitability with the results of dynamic analysis.
PENERAPAN MODEL GEOMETRIC BROWNIAN MOTION DAN PERHITUNGAN NILAI VALUE AT RISK PADA SAHAM BANK CENTRAL ASIA TBK Fadhilah Rizky Aulia; Evy Sulistianingsih; Wirda Andani
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 2 (2023)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v17i2.9537

Abstract

Stock price fluctuations are difficult to predict, resulting in uncertain profits. Therefore, a mathematical model is needed to predict future stock prices, namely the Geometric Brownian Motion (GBM) model based on a stochastic process. Stocks are also accompanied by risks that have potential for loss. The risk can be measured using Value at Risk (VaR) which can estimate the maximum loss that may happen from an investment at a certain level of confidence and period of time. The purpose of this research is to implement the GBM model in predicting stock prices and estimating the maximum loss of stock investment using VaR. This research analyzes the daily closing stock price of PT Bank Central Asia (BBCA) for the period November 1, 2021, to December 31, 2022. The stock price predictions with the GBM model are used to estimate the VaR value. Based on the analysis results, GBM is highly accurate model with an average MAPE value of 5.77% and the smallest MAPE value of 1.45%. The VaR values obtained at the 80%, 90%, 95% and 99% confidence level are 1,17%, 1,74%, 2,19% and 2,86% of the total fund investment for the next one-day period, respectively.
VISUALISASI OPERASI TRIGONOMETRI (SINUS DAN COSINUS) Wildatus Sholihah
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 2 (2023)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v17i2.10447

Abstract

This article discusses a scheme for creating a visual representation of trigonometry and its operations on sine and cosine. This visual representation is then called trigonometric visualisation. The formulas in the visualisation of trigonometric operations apply to all trigonometric identities constructed from sines and cosines with degrees no more than 2. Research was carried out by analyzing trigonometric representations of right triangles from various sources. The results of the research are procedures or techniques for creating trigonometry visualizations of sine and cosine and their operations. Operations in trigonometry visualization are: multiplication, addition, and subtraction of sine and cosine. 
MODEL MATEMATIKA PENYEBARAN KONSTITUEN DALAM PEMILIHAN UMUM PRESIDEN DENGAN ADANYA MEDIA MASSA Muhammad Anshar; Faisal Faisal; Aprida Siska Lestia
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 2 (2023)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v17i2.10146

Abstract

The presidential election is the process of selecting people to fill the presidency, in Indonesia direct presidential elections have been held since 2014. The popularity of a candidate is affected by exposure of news from the mass media. News from the mass media can spread from one individual or group to another, thus it can influence the behavior of a constituent, and an epidemiological model can be used. The purpose of this research was to explain the formation of the model, determine the equilibrium point, analyze the stability at the equilibrium point, performing a simulation, and determine the numerical solution. This research was carried out firstly by making the assumptions used in the formation of the model, then determining the equilibrium point of the model. After that, the stability of the equilibrium point will be analyzed by linearizing the model so that the Jacobian matrix was obtained, determining the eigenvalues of the Jacobian matrix, performing a simulation, and determine the numerical solution using the parameters of the 2014 presidential election results and with the fifth order Runge-Kutta method. The result of this study was the formation of two a mathematical model for the distribution of constituents in the presidential election with the existence of mass media, namely when the proportion of constituents affected by positive news is zero and non-zero. Based on this model when the proportion of constituents affected by positive news is zero, two equilibrium points were obtained, namely the equilibrium point free of constituents supporting political figures () and the equilibrium point of constituents supporting political figures (). Then, based on the model when the proportion of constituents affected by positive news is non-zero, the equilibrium point of the political figure supporting constituents () is obtained. From the stability analysis of the equilibrium point  and equilibrium point , local asymptotic stability was obtained, and from the numerical simulations, it was obtained that the difference in the vote acquisition.
ANALISIS KESTABILAN MODEL SI UNTUK PENYAKIT MENULAR DENGAN ADANYA TRANSMISI VERTIKAL DAN TINGKAT KEJADIAN JENUH Ana Rizki Mahmudah; Muhammad Ahsar Karim; Yuni Yulida
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 2 (2023)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v17i2.10826

Abstract

The transmission of infectious diseases can occur through two pathways: horizontal and vertical. Horizontal transmission occurs through direct or indirect physical contact with the infectious agent, while vertical transmission takes place when an infected mother transmits the disease to a fetus or a newborn. Within the context of disease transmission models, a critical feature is the saturation incidence rate, which refers to the impact of interventions that can reduce the rate of disease transmission among susceptible and infected individuals. This research aims to elucidate the formation of a model, determine equilibrium points, and calculate the basic reproduction number using the Next Generation Matrix method. The analysis involves assessing local stability through linearization methods and global stability using Lyapunov functions. Sensitivity analysis is conducted on the basic reproduction number, and numerical simulations are performed using the fourth-order Runge-Kutta method. The research findings indicate the establishment of an SIS (Susceptible-Infected) model for infectious diseases with vertical transmission and saturation incidence. This model depicts the spread of the disease in a population, where individuals can exist in susceptible or infected conditions. Equilibrium points include a disease-free equilibrium that is locally and globally stable when the basic reproduction number is less than one, and an endemic equilibrium that is locally and globally stable when the basic reproduction number exceeds one. Sensitivity analysis reveals that each parameter has varying influences on the basic reproduction number. An increase in the saturation incidence rate leads to a decrease in the number of infected subpopulations, while an increase in the vertical transmission rate results in a similar decline. Numerical simulations support stability analyses at equilibrium points. These findings provide a deeper understanding of the factors influencing the spread of diseases within a population. 
IMPLEMENTASI K-NEAREST NEIGHBOR DALAM MEMPREDIKSI CURAH HUJAN GUNA MENYUSUN PENJADWALAN TANAM PADI DI PULANG PISAU Yuniarta Basani; Dian Nur Handayani; Herman Santoso Pakpahan; Regina Wahyudyah Sonata Ayu
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 2 (2023)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v17i2.10649

Abstract

Beras merupakan komoditas penting dalam kehidupan sosial dan ekonomi di Indonesia serta menjadi sumber karbohidrat utama. Perubahan iklim mempengaruhi pola tanam dalam sektor pertanian, dan curah hujan memiliki peran penting dalam pertumbuhan tanaman karena mempengaruhi ketersediaan air. Kabupaten Pulang Pisau di Kalimantan Tengah memiliki potensi pertanian yang baik, terutama dalam produksi padi. Untuk meminimalisir kegagalan panen akibat perubahan iklim, prediksi curah hujan diperlukan sebagai acuan dalam penjadwalan tanam padi. Penelitian ini bertujuan untuk memprediksi curah hujan menggunakan metode K-NN dan mengkonversikan hasil prediksi curah hujan menjadi tabel kalender tanam guna meminimalisir terjadinya kegagalan panen. Metode K-Nearest Neighbor (K-NN) dalam beberapa dekade terakhir selain untuk klasifikasi juga digunakan untuk prediksi. Metode K-NN pada penelitian ini diimplementasikan dalam memprediksi curah hujan, dengan pengujian performa metode K-NN menggunakan metode RMSE. Data yang digunakan berasal dari website resmi BMKG yang diambil dari Tahun 2011-2022. Rasio pembagian data training dan data testing yang digunakan adalah 70:30, 80:20 dan 90:10. Hasil pengujian penerapan metode K-NN dalam prediksi curah hujan menghasilkan nilai RMSE terkecil 109,3 dengan menggunakan perhitungan jarak Manhattan Distance dan nilai k = 16. Hasil prediksi curah hujan yang dikonversikan ke dalam kalender tanam menunjukan bahwa Juli, September, dan November 2023, Januari, Maret, Mei, Juli, September, dan November 2024 dapat dilakukan proses penanaman padi.
ALJABAR C* DARI RUANG MATRIKS M_n (B(H)) Khaerudin Saleh; Rustam Rustam; Yulinda Eliskar
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 2 (2023)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v17i2.10886

Abstract

Let  be a Hilbert space. The set of  bounded operators on the Hilbert space  denotes by  can be identified as an C*-Algebra.  Let  be a Matrix vector space over the field . By using *isomorphism it will be proven that  is also a C*-algebra.
HASIL KALI SILANG ω- SUBSEMIRING FUZZY Saman Abdurrahman; Thresye Thresye; Alya Hanifah Arif; Jumiati Jumiati; Tiara Roihatul Jannah
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 2 (2023)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v17i2.8748

Abstract

Fuzzy semirings are one of the results of a combination of semirings and fuzzy sets. Semiring is one of the extensions of the ring. The cross product of two or more semirings gives a semiring. We are motivated to conduct cross-product research on fuzzy semiring based on the condition of cross-product semiring. This paper introduces the direct product of two (more)  fuzzy subsemirings. In addition, we investigate the relationship between the cross product of two (more) fuzzy subsemirings and the cross product of two (more) level subsets that are subsemiring
RUANG BARISAN KONVERGEN LACUNARY STATISTIK Haryadi - Haryadi; Solikhin - Solikhin
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 17, No 2 (2023)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v17i2.10258

Abstract

In this paper, we use the concept of lacunary statistic convergence to construct a linear metric space and then examine its topological properties. We show that the space includes the space of bounded sequence and the space of strong summable Cesaro of order one. Furthermore, the linear metric space is an FK-space but has not AK property.

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