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Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi
Published by Universitas Negeri Gorontalo
ISSN : 20879393     EISSN : 27763706     DOI : -
Core Subject : Science, Education,
Computer Science & IT Mathematics
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in the research. Euler disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and its applications. The scope of the articles published in this journal deal with a broad range of mathematics topics, including: Mathematics Applied Mathematics Statistics and Probability Applied Statistics Mathematics Education Mathematics Learning Computational Mathematics Science and Technology
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 188 Documents
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Reliability for Generalized Rayleigh of 1 Strength - 4 Stresses Khaleel, Ahmed Haroon
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.24175

Abstract

In this paper, the reliability of a one-component model is found where this component is subjected to four stresses with random variables Y1, Y2, Y3, Y4 and this component resists these stresses with its strength with random variable X and it was assumed that these variables follow a generalized Rayleigh distribution. The model's reliability was estimated by three different estimation methods (Percentile method, the Regression method, and the Least Squares method). A Monte Carlo simulation was performed to compare the results obtained from the estimate using two statistical criteria: the mean squares error criterion and the mean absolute percentage error criterion. The comparison showed that the best estimator of the reliability of the model is the favorable Percentile estimator.
Pemodelan De Novo Programming dengan Metode Simpleks dan Metode Cutting Plane Untuk Mengoptimalkan Perencanaan Produksi Usaha Kecil Menengah Safitri, Nurul; Kiftiah, Mariatul; Pasaribu, Meliana
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.25242

Abstract

Small and Medium Enterprises (SMEs) Aneka Jamu Traditional is a small and medium-sized enterprise in the field of herbal medicine production. The SME produces 3 types of traditional herbal medicine, namely angin herbal medicine, urat herbal medicine, and peluntur herbal medicine. In producing herbal medicine, the number of products produced  does not match the availability of raw materials available so that the production costs incurred will certainly affect profits. This is due to improper production planning. The purpose of this research is to determine the right production planning in order to obtain maximum profit. One of the developments of linear programming models that specifies budget constraints is the de novo programming model. The de novo programming model can provide a combination of the best number of product to be produced nd the proposed use of resources based on the available budget. The de novo programming model is used to form a raw material or budget constraint problem into a mathematical model. Furthermore, it is solved using the simplex method. In this research, the optimal solution required is an integer so the calculation is continued with the cutting pane method. The profit earned by Aneka Jamu Tradisional SMEs amounted of Rp10.473.500/month. Based on the research results, the completion of the de novo programming model with simplex method and cutting plane method obtained x_1=3.000, x_2=3,000, x_3=1,657 with Z = 12,386,733. This means that to obtain optimal profits, SMEs must produce 3.000 packs of angin herbs, 3.000 packs of urat herbs, and 1.657 packs of peluntur herbs with a profit of Rp12,386,733/month.
Implementasi Metode Adaptive Neuro Fuzzy Inference System (ANFIS) dalam Prediksi Harga Saham X Damayanti, Adelia; Agustina, Dwi
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.25278

Abstract

Today, the stock market is one of the most important financial vehicles. Investors were concerned about X shares because it fluctuated significantly during Elon Musk's acquisition process. This study was aimed to predict the future price trend of X stocks. Thus, this analysis can assist investors in controlling X stocks. Data for this study were gathered from the Kaggle website. This study uses data from January 2016 to October 2022. The Adaptive Neuro Fuzzy Inference System (ANFIS) will be used to estimate the price of X stocks. The results demonstrated that the ANFIS approach accurately captured the pattern of stock price changes. Based on the accuracy test results, this method has an RMSE of 0.005. It demonstrates that the ANFIS method can accurately anticipate the price of X stock.
Meir Keeler's Fixed-Point Theorem in Complex-Valued Modular Metric Space Kiftiah, Mariatul; Yudhi, Yudhi
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.25126

Abstract

In this paper, we introduce the notion of Meir-Keeler contraction mapping, which is defined in complex-valued modular metric space. Some properties of sequences in this space, which are convergence, Cauchyness and completeness, are used to prove the fixed-point theorem under this mapping. Additionally, the Delta_2-type condition is also defined as the sufficient condition in order to have a unique fixed point.
Meningkatkan Kemampuan Komunikasi Matematika dengan Menggunakan Pendekatan Saintifik Pada Materi Kubus dan Balok Mahmud, Irfan; Usman, Kartin; Takaendengan, Bertu
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.26346

Abstract

This research aims to improve students' written mathematical communication skills through a scientific approach. Implementation of actions is carried out in two cycles. The subjects of this research were 22 students in class VIII of SMP NEGERI 6 SATAP Telaga Biru, consisting of 10 men and 12 women. The techniques used in this research were observation and tests. The data analysis techniques in this research are teacher observation, student observation, and mathematical communication tests. Research procedures include planning, implementation, observation, and reflection. The research consisted of 2 cycles. The results of the research show that there has been an increase in mathematical communication through scientific learning. This is shown by the research results that the scientific learning process has been running in accordance with the learning implementation plan and has succeeded in creating a conducive learning situation and improving mathematical communication. The results of the research showed that mathematical communication skills in cycle I were 55% poor criteria and in cycle II were 82% good criteria. The results of observations of teachers' teaching skills when managing learning has increased, in cycle I it reached 79.17\% of good criteria, while in cycle II it reached 90.97% of very good criteria. The results of observations of student learning activities have increased, from cycle I the percentage was 70.63 good criteria, whereas in cycle II it was 82.5% very good criteria.
Pengaruh Pengembangan Model Discovery Learning terhadap Kemampuan Koneksi Matematika Mahasiswa dalam Pembelajaran Online Matematika Ekonomi Listyotami, Mega Kusuma; Ferita, Rolina Amriyanti
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.25113

Abstract

The research aims to determine the influence of developing a discovery learning model on students' mathematical connection abilities in online mathematics and economics learning. This research was conducted at the Dwi Sakti Baturaja College of Economics. The research method used in this research is pre-experiment with a One Group Pretest-Posttest Design research design. The sample for this research consisted of 30 students. Data collection techniques use test techniques which are divided into pretest and posttest. The data processing technique uses t-test calculations with the SPSS 20 program. The research results show the influence of developing a discovery learning model on increasing students' mathematical connection abilities in online mathematics and economics courses at the Dwi Sakti Baturaja College of Economics. The average initial test score was 48.50, increasing from 37.00 to 85.50 in the final test. The test results show that the t count is 17.796 and the t-table (df 30 = 2.048). The t-count value (17.796)t-table (2.048). The results show that Ho is rejected and Ha is accepted. Thus, it can be said that the development of the discovery learning model influences students' mathematical connection abilities in online mathematics and economics learning. The results of the analysis show that the R square value of the correlation analysis between the development of the discovery learning model on students' mathematical connection abilities in online learning for mathematics economics courses is 71.50\%, which means that the contribution of developing the discovery learning model has a positive influence on students' mathematical connection abilities in online learning mathematics economy.
Perbandingan Metode Monte Carlo Antithetic Variate dan Control Variate dalam Penentuan Harga Opsi Barrier Knock-Out Murwaningtyas, Chatarina Enny; Haryono, William Saputra; Uge, Maria Andriani; Kristofel, Tedi
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.25128

Abstract

This study aims to examine the effectiveness of the Monte Carlo antithetic variate and control variate methods in pricing knock-out barrier options compared to the standard Monte Carlo method. The main problem in barrier option pricing is the high variance of estimates, which can reduce the accuracy and efficiency of results. The standard Monte Carlo method often requires a very large number of simulations to achieve stable results, which is computationally inefficient. To address this issue, this study employs variance reduction techniques, antithetic variate, and control variate. The findings indicate that both methods offer higher accuracy in price estimation compared to the standard Monte Carlo method. Further analysis reveals that the control variate method is more effective for pricing up and out barrier call options and down and out barrier call options, while the antithetic variate method excels in pricing up and out barrier put options and down and out barrier put options. This study underscores the importance of selecting the appropriate method according to the type of option involved to achieve accurate and efficient estimations.
Analisis Kelayakan Kredit Menggunakan Classification Tree dengan Teknik Random Oversampling Vebriyanti, Lo Mei Ly; Martha, Shantika; Andani, Wirda; Rizki, Setyo Wira
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 12 Issue 1 June 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i1.24182

Abstract

Credit is providing money or bills based on the agreement between a bank and another party. Lending is inseparable from bad credit risk, so credit analysis must be conducted on prospective debtors before approving a proposed loan. This research aims to analyze creditworthiness using a Classification Tree as a classification method with Random Oversampling to overcome imbalanced data. This study uses secondary data on the status of debtors from a bank in West Kalimantan. Research data amounted to 800 data samples consisting of collectability variables as target variables and 10 independent variables, namely limit, rate, tenor, total installments, age, salary, premium and admin, agency, type credit, and type need. The Classification Tree method with Random Oversampling is used to overcome imbalanced data. Classification begins with data preprocessing, then the data is divided into training and test data with proportions of 70:30, 80:20 and 90:10 for each treatment without Random Oversampling and with Random Oversampling. Next, a classification model is formed using training data, and the classification model is validated using test data. After that, an overall evaluation of the model is carried out to determine the best model used in the classification process. Based on the research results, the best model is the model Classification Tree with Random Oversampling in proportion 70:30, with an accuracy value of 89.17%, specificity of 75.00%, and recall of 89.66%. The model can be used to classify current and non-current debtor data. The most influential variable in classifying debtor status is the total installment variable.
Penerapan Hybrid Metode ARFIMA-ANN Menggunakan Algoritma Backpropagation pada Peramalan Indeks Harga Saham Gabungan Buhungo, Rayhanul Jannah; Hasan, Isran K; Nurwan, Nurwan
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 12 Issue 2 December 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i2.28474

Abstract

The Composite Stock Price Index (IHSG) is a of the key indicator a country uses to assess its economic condition. The fluctuating movements of stock prices create uncertainly in the stock market, complicating decision-making for investors and government entities. Therefore, there is a need for a method that can forecast the Composite Stock Price Index to monitor such fluctuations. The objective of this study is to model the Composite Stock Price Index Utilizing a hybrid method and to assess the accuracy of this hybrid approach. The hybrid method employed is the Autoregressive Fractionally Integrated Moving Average (ARFIMA)-Artificial Neural Network (ANN). The results of this study show that the best ARFIMA model is ARFIMA (1,d,1) with a differencing parameter of dR/S = 0,362. The ANN model's optimal architecture obtained through the backpropagation algorithm is ANN (3,2,1). The accuracy of the hybrid ARFIMA-ANN model, measured by the Mean Absolute Percentange Error (MAPE), yielded of 1,0164%, lower than the MAPE value of 1,7326% for the standalone ARFIMA model. This suggests that the hybrid model improves forecasting accuracy and is the most efferctive model for predicting the IHSG. 
Analisis Kestabilan Lokal pada Model SEIR Patogenesis Frambusia dengan Infeksi Primer-Sekunder dan Tersier Lasongke, Fahri Alam; Puspita, Juni Wijayanti; Ratianingsih, Rina; Utami, Vicya; Salman, Salman
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 12 Issue 2 December 2024
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v12i2.27847

Abstract

Yaws is a skin disease characterized by red spots that can worsen if not treated promptly. This disease is caused by the bacteria Treponema Pallidum Pertenue. The symptoms of yaws have five stages, namely the primary stage, primary to secondary latent stage, secondary stage, secondary to tertiary latent stage, and tertiary stage. A mathematical model is one solution to describe the prognosis of yaws disease. Here, the population was divided into 5 sub-populations, namely susceptible sub-population, exposed sub-population, infected sub-population in the primary and secondary stages, infected sub-population in the tertiary stage, and recovered sub-population. The mathematical model of the spread of yaws disease is written as a system of nonlinear differential equations whose stability is analyzed around the critical point. From the system of differential equations, two critical points are obtained which describe the disease-free condition and the endemic condition. In this study, the existence and stability of both critical points can be guaranteed. Furthermore, numerical simulations were conducted using yaws disease data in Indonesia. Simulation results show that the transmission of yaws disease in Indonesia can be controlled by reducing contact between the primary-secondary infected population and the susceptible population.

Page 12 of 19 | Total Record : 188

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