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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 163 Documents
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Uji Performa Prediksi Gempa Bumi di Jawa Timur dengan Artificial Neural Network Muhammad Aji Permana; M Faisal
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v11i1.19291

Abstract

East Java Province is an area directly adjacent to the Eurasian and Indo-Australian plate subduction zones, this has resulted in East Java province being an area prone to earthquakes. Predictions regarding the frequency of earthquake occurrences are very interesting to study. This needs to be done in order to increase our preparedness in an effort to reduce the risk of earthquakes. Research on earthquake prediction has been carried out, one of which is the artificial neural network method. The purpose of this study is to obtain the best network architecture that is applied to the data on the frequency of earthquake occurrences per month in East Java Province. Data on earthquake occurrences come from the BMKG Nganjuk Geophysics Station, which was recorded during the 2016-2021 period. The data was then grouped into the total frequency of events per month. The criteria for selecting the best network architecture are carried out by comparing each possible architecture's error values. The test method uses SSE (sum square error) criteria for each architectural model of the artificial neural network. The test results show that the input variation has a significant contribution and a greater correlation than the variation in the number of hidden neurons. The best prediction results are obtained in the model with 9-30-1 architecture with an error value of 0.1958.
Analisis Kausalitas Antara Pendidikan, Kemiskinan, dan PDRB Menggunakan Panel Vector Autoregression Sisilia Jesika Pririzki; Ineu Sulitiana; Adriyansyah Adriyansyah
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v11i1.19504

Abstract

The condition of education in the Bangka Belitung Islands Province is still far from basic education, with the Average Years of Schooling (RLS) of 7.84 years. Apart from the education side, the number of existing poverty also tends to fluctuate every year. It is the same with the economic picture based on GRDP values which experience inequality between Regencies and Cities in the Bangka Belitung Islands Province. The purpose of this study is to determine the causal relationship between education, poverty, and GRDP. The approach method used is to use the Panel Vector Autoregression (PVAR) method by conducting a Granger causality test. The results of this study are that there is no causality relationship, but has a one-way relationship between poverty and education which has a probability value smaller than α of 5%, namely 0.0246. There is no causal relationship between education and GRDP with probability values of 0.1020 and 0.4706. There is a causal relationship between poverty and GRDP with a probability value for each variable 2x10^-9 and 8x10^-9.
Analisis Dinamik pada Model Matematika SVEIBR dengan Kontrol Optimal Untuk Pengendalian Penyebaran Penyakit Kolera Agusyarif Rezka Nuha; Resmawan Resmawan; Sri Lestari Mahmud; Asriadi Asriadi; Andi Agung; Sri Istiyarti Uswatun Chasanah
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v11i1.20611

Abstract

Cholera is an infectious disease that attacks the human digestive system and can cause death. This article discusses the research results related to the mathematical model of the spread of cholera in the form of an optimal control system by combining three control strategies: vaccination, quarantine, and environmental sanitation. Pontryagin's maximum principle is applied to obtain optimal conditions based on the control strategy applied. Referring to the optimal conditions set, the model was solved numerically using the Runge-Kutta Order 4 method to describe the theoretical results. The calculation results show that applying the three control strategies in controlling the spread of cholera positively impacts reducing the number of cases of infection so that disease transmission can be discontinued.
Pengembangan E-Modul Berbasis Flip PDF dan Canva pada Materi Transformasi Geometri Muhammad Al Falah Kurniawan; Tri Nova Hasti Yunianta; Kriswandani Kriswandani
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v11i1.20222

Abstract

E-module is an electronic version of the module that can be used as a learning tool that contains material, methods, constraints, and ways of evaluating that are designed systematically and attractively to achieve the expected competencies. The aim of this research is develop a valid, practical, and effective e-module based on Flip PDF and Canva on the geometry transformation material. This research is an R D research using the ADDIE (Analyze, Design, Development, Implementation, and Evaluation) model. The subjects of this study were 30 students of class IX SMP Negeri 9 Salatiga. Data collection techniques are observation, questionnaires, and tests. Data analysis used descriptive qualitative and quantitative analysis, Paired t-test, and N-Gain Score. The result of this research includes 1) the validation results of the e-module based on Flip PDF and Canva obtained the results of this e-module as valid as shown by the validation score of 86.155 with 90.35% and included in the "very good" category; 2) the significant of the paired t-test is 0.000 0.05 which means that there was a significant difference between the pretest score (pretest scores is 29,6667) and the posttest score (posttest score is 70,6667); and 3) the N-Gain Score test is 58,8527 (58,9%) with the criteria “effective enough.” Based on these results, it can be concluded that e-module using Flip PDF and Canva for junior high school students are effectively used as means of supporting learning materials.
Penerapan Model Regresi Linear Untuk Estimasi Mobil Bekas Menggunakan Bahasa Python Mohamad Arif; Muhammad Faisal
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 2 December 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v11i2.20698

Abstract

Used cars have a significant transaction value in the automotive market. Estimating the price of a used car is important for buyers and sellers to determine the appropriate value. In this study, we apply a linear regression model using the Python programming language to estimate the price of a used car based on relevant attributes such as year of production, mileage, car tax, fuel consumption, and number of engines. We use a used car dataset that contains important information for analysis. In using the linear regression model in this study, it was successful in obtaining an accuracy of 0.76% and the results for estimating car prices were obtained by inputting car year = 2019, car mileage = 5000, car tax = 145, fuel consumption = 30,2, and engine size = 2. Then managed to get an estimated value of 21.208,505 in Pounds and 393.608,6514549 in Rupiah units. So that it can be said that the Linear Regression model has proven successful in the good category for finding used car price estimates based on certain factors using python language.
Perbandingan Metode Fuzzy C-Means dan Ward Pada Pengelompokkan Desa Berdasarkan Indikator Potensi Desa Ingka Rizkyani Akolo; Apriliyanus Rakhmadi Pratama; Asriyati Nadjamuddin
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 2 December 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v11i2.21820

Abstract

Bone Bolango is one of the districts that has experienced many village and sub-district expansion processes. This expansion process changes the village's potential data. Village potential is the carrying capacity for developing villages in order to improve community welfare. In order to accelerate village development, it is necessary to group villages according to their characteristics so that development is more focused and on target. The aim of this research is to group villages based on indicators of village potential so that groups of villages that have the same characteristics can be obtained, as well as to find out the best method for grouping villages in Bone Bolango Regency. The research results show that the optimum cluster for grouping villages in Bone Bolango Regency based on village potential indicators is the cluster using the ward method because it provides the smallest Xie-Beni index value compared to the fuzzy c-means method. The optimum number of clusters is three clusters. Cluster 1 has high average characteristics consisting of 57 villages, cluster 2 has low average characteristics (except livestock production) consisting of 94 villages and cluster 3 has characteristics of large area and high food production consisting of 9 villages.
Penerapan Algoritma Rivest-Shamir-Adleman (RSA) pada Enkripsi Uniform Resource Locator (URL) Website untuk Keamanan Data Theodora Tantri Trisnawati; Sherli Yurinanda; Wardi Syafmen; Cut Multahadah
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 2 December 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v11i2.21169

Abstract

PT. Rezeki Surya Gasindo is a company that uses websites to store important company data, one of which is customer personal data. PT. Rezeki Surya Gasindo’s website is protected by a login system. However, a login system alone is not enough to protect the data stored on the website from cases of data theft by third parties. One solution to this problem is to encrypt the website's Uniform Resource Locator (URL) to increase the security level of data stored on the website. In this research, the Rivest-Shamir-Adleman (RSA) algorithm is used for the encryption process. The aim of this research is to determine the process of applying the Rivest-Shamir-Adleman (RSA) algorithm to the Uniform Resource Locator (URL) encryption of the PT. Surya Gasindo's website. The success of applying encryption with the RSA algorithm is observed from changes in the get parameter value that appears in the URL bar. The encrypted message is the customer, the get parameter in the Customer menu, which contains the consumer's personal data. By choosing two large prime numbers, namely 151 and 173, and taking one of the public keys/encryption keys, namely 16379, the result is that the get parameter in the URL bar has changed to the code string 5a9cb05811aa6e4c. The RSA algorithm has been successfully applied to the website URL.
Analisis Sensitivitas Model Goal Programming Pada Optimasi Produksi Roti Menggunakan Metode Branch and Bound Rindawati Ahmad; Muhammad Rifai Katili; Sri Lestari Mahmud; Djihad Wungguli; La Ode Nashar
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 2 December 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v11i2.22299

Abstract

Sya'qila Bakery is a manufacturing industry that produces bread in five flavor variants. The planning carried out by Sya'qila Bakery in the bread production process is considered suboptimal due to the limitation in the quantity of production for each flavor variant, resulting in occasional shortages of raw materials. Additionally, the order production process requires a long total completion time (makespan), resulting in delays in production completion (meaning tardiness). This research aims to optimize the total completion time, the average lateness, the use of raw materials, and production revenue. In this research, the Goal Programming model is utilized with the Branch and Bound method. The analysis results with the Goal Programming model using the Branch and Bound method obtain an optimal solution, which includes an excess of 36 minutes in total completion time (makespan), an excess of 6 minutes in average lateness (mean tardiness), no excess in the availability of raw materials, and zero sales revenue shortfall. Sensitivity analysis results indicate that bread production at Sya'qila Bakery will remain optimal if changes occur in the production completion time, production delay time, and raw material availability, as long as these changes remain within their tolerance limits.
Determining the Optimum Number of Clusters in Hierarchical Clustering Using Pseudo-F Steven Jansen Sinaga; Neva Satyahadewi; Hendra Perdana
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 2 December 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v11i2.23113

Abstract

Poverty refers to the condition where a person cannot meet the basic necessities based on the minimum living standards. Statistics Indonesia proxied an increase in the poverty rate in North Sumatra Province in 2021 from 8.75% to 9.01%. However, this increase is exclusive to North Sumatra Province, which has Indonesia's 3rd largest number of districts/cities. This study discussed mapping the North Sumatra Province region based on 10 poverty factor variables. The 10 variables are life expectancy, health complaints, poverty line, Gross Regional Domestic Product (GRDP), population growth rate, Expected Years of Schooling (EYS), Human Development Index (HDI), labor force participation rate, open unemployment rate, and district/city minimum wage. The Hierarchical Clustering analysis was employed to compare single, complete, and average linkage methods. The best method was determined based on the pseudo-F statistic value. 4 clusters had complete linkage methods, each of which possessed varied characteristics. Cluster 1 contains cities with the lowest poverty rate, including Medan City and  Pematang Siantar City. Cluster 2 consists of cities with low poverty rates, while Cluster 3 consists of cities with high poverty rates. Cities that are included in Cluster 4 have very high poverty rates, including South Nias District and Pakpak Bharat District. The clusters present significant poverty rate gaps among North Sumatra Province regions.
Penerapan Model Harga Opsi Black Scholes dalam Penentuan Premi Asuransi Jiwa Dwiguna Unit Link Seftiani Seftiani; Neva Satyahadewi; Nur'ainul Miftahul Huda
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 2 December 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v11i2.23049

Abstract

Unit-linked life insurance is one of the most popular insurance products. This product connects the element of protection with investment assets in a product. Regarding option pricing, the Black Scholes model is one method that can be used. The advantage of this model is that it is a call option valuation model and is in great demand among financial associations because the option rate obtained from the calculation of this model is an accurate value. This research aims to determine the premium value of unit-linked endowment life insurance by applying the Black Scholes option pricing model. This research begins by selecting the stocks used and completing the information needed, including the insured's age, gender, insurance period, and life expectancy based on TMI in 2011. The return value and stock volatility can be calculated based on the stock data used. Furthermore, applying the Black Scholes option pricing model on customer data with male gender, age 25 years, a selected interest rate of 5.75%, and an insurance period of 5 years obtained a unit link insurance premium value of Rp123,058,412. The results showed that the Black Scholes option price model is determined by stock prices, interest rates, insurance periods, and volatility. When the longer period of insurance taken causes the premium value to be higher, and for different ages, with increasing age, the value of premiums paid will also increase.

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