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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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Batas Perturbasi Mutlak Nilai Eigen dari Matriks Normal Ainurrofiqoh, Dewi Ika; Sari, Merysa Puspita; Rizka, Sailah Ar; Kholifia, Nadia
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.31084

Abstract

The eigenvalue problem in matrices is an important topic in numerical computation, particularly in analyzing the sensitivity of eigenvalues to disturbances or perturbations. This study discusses the absolute perturbation bounds on the eigenvalues of a matrix, focusing on normal matrices and their relationship to the condition of normal matrices. Based on existing theorems, the absolute perturbation bounds are presented in various forms involving the Frobenius norm and the condition number of the matrix eigenvectors. This research provides a detailed discussion of results concerning the absolute perturbation bounds on eigenvalues and their applications to normal matrices. Ultimately, an important result on the error bounds of eigenvalues in the case of normal matrices affected by perturbations is fully explained, proving the connection between the absolute error bound and the Frobenius norm of the perturbations.
Prediction of Protein Content and Glycemic Index of Local Food-Based Snack Bars Using Lagrange Polynomial Interpolation Dwikasari, Lingga Gita; Basuki, Eko; Saloko, Satrijo; Handito, Dody; Rasyda, Riezka Zuhriatika
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.31845

Abstract

Snack bars have the potential to serve as a healthy and nutritious snack alternative. One of the key factors to consider in the development of snack bars is their protein content and glycemic index. These two attributes can be predicted using the Lagrange polynomial interpolation method. In this study, predictions were carried out using Lagrange polynomial interpolation of orders 1, 2, 3, 4, and 5. The research began with the preparation of 11 snack bar formulations, followed by measurements of their protein content and glycemic index. The obtained data were then divided into two groups: the first group was used as test points for the Lagrange polynomial interpolation process, and the second group served as a benchmark for comparing the interpolation prediction results. The predicted results from the Lagrange polynomial interpolation were compared with the actual data, and the prediction accuracy was evaluated using the NRMSE value. The results showed that Lagrange polynomial interpolation of orders 1, 2, 3, 4, and 5 was effective in predicting the protein content and glycemic index of the snack bars. Furthermore, the NRMSE values indicated that second-order Lagrange interpolation provided the highest prediction accuracy, with the smallest NRMSE values: 0.08244 for protein content prediction and 0.06798 for glycemic index prediction.
Pendekatan Data Mining dalam Optimalisasi Margin Penjualan Adidas: Studi Klasterisasi dengan K-Means dan Fuzzy C-Means Firlian, Lutfiah; Fadila, Risfa; Ridho, Muhammad Kevyn; Sunandi, Etis; Aflah, Ukasyah
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32417

Abstract

Adidas is trying to stay competitive, especially when it comes to selling in the U.S. market. This study aims to cluster Adidas sales data in the US by comparing K-Means and Fuzzy C-Means clustering methods to achieve effective market segmentation. Data management is performed by first standardizing the data from the variables of units sold, total sales, operating profit, and profit margin. Cluster analysis is performed by determining the optimal cluster with the elbow plot, and the most optimal result is four clusters. Cluster performance evaluation was performed by comparing the Davies-Bouldin Index (DBI), Sum of Squares Within (SSW), and Sum of Squares Between (SSB) values of each method. The analysis results show that K-Means has a DBI of 0.98 and an SSW of 8645.74, while Fuzzy C-Means has a DBI of 0.983 and an SSW of 8678.49. Based on these results, K-Means is considered more optimal because it produces clusters that are more compact and separated. This finding can be the basis for developing a more targeted and efficient sales strategy according to the characteristics of each market segment.
Inovasi Media Pembelajaran Interaktif Menggunakan WPS Office pada Pembelajaran Statistika Kadir, Abd. Wahid; Machmud, Tedy; Damayanti, Taulia
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.33118

Abstract

Innovation in interactive learning media is essential to improve the effectiveness of statistics instruction at the junior high school level. This study aimed to develop interactive learning media based on WPS Office to support Statistics learning for eighth-grade junior high school students. The research employed the ADDIE development model, encompassing five stages: Analysis, Design, Development, Implementation, and Evaluation. The media was designed using WPS Presentation and Canva, and then converted into an Android application using Website 2 APK Builder Pro. Validation was conducted by media and subject experts; practicality was assessed by teachers and students. Validation results showed very high feasibility, with an average score of 94.32% from media experts and 95.37% from subject experts. Practicality testing yielded scores of 95.33% from teachers and 93.42% from students, indicating that the media is highly practical and engaging. The developed media is valid, practical, and relevant for supporting contextual and interactive digital learning. It has potential to improve students' conceptual understanding of statistics and their digital literacy.
Spatial Autoregressive Quantile Regression untuk Pemodelan Angka Harapan Hidup di Provinsi Sumatera Utara Marlina, Wenni; Sari, Rina Filia
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32367

Abstract

Life Expectancy (LE) is a key indicator for assessing the level of public health. North Sumatra Province still faces challenges in improving its LE, which remains below the national average. This study aims to compare three spatial models, namely: SAR, RSAR, and SARQR to model HLI in North Sumatra. Secondary data from 2023 for 33 districts/cities were obtained from the North Sumatra Provincial Statistics Agency, with HLI as the dependent variable and seven independent variables. The analysis began with multiple linear regression and classical assumption tests, followed by the formation of a spatial queen contiguity matrix, spatial effect tests (Moran's Index and Lagrange Multiplier), and modeling using the three spatial regression approaches. The results indicate that SARQR at the 0.1 quantile is the best model with the lowest AIC value (23.7764) and superiority in addressing spatial outliers. Therefore, SARQR at the 0.1 quantile is recommended as the optimal model for modeling AHH in North Sumatra.
Optimasi Penjadwalan Mata Pelajaran Berbasis Kurikulum Merdeka Menggunakan Integer Linear Programming Permana, Rendy Candra; Hanum, Farida; Bakhtiar, Toni; Supriyo, Prapto Tri
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32513

Abstract

Scheduling subjects in secondary schools implementing the kurikulum merdeka presents a complex challenge. Kurikulum merdeka demands a high degree of flexibility, fulfillment of individual learning needs, and integration between mandatory and elective subjects. The complexity increases due to time constraints, uneven distribution of teaching loads, limited classroom availability, and potential schedule conflicts between teachers and students. The manual approach, which is still commonly used, is often inefficient, time-consuming, and results in suboptimal schedules. To address these challenges, this study proposes an automated scheduling model based on Integer Linear Programming (ILP), implemented using LINGO 19.0 software. The model considers various real-world constraints, such as the maximum number of study hours per day, designated days for mandatory and elective subjects, the requirement for two consecutive periods per subject, and teacher availability. A case study was conducted for Grade XI at SMAN 58 Jakarta, involving 9 classes, 32 teachers, and 18 subjects (9 mandatory and 9 elective). The experimental results show that the model can produce efficient, conflict-free schedules, accelerate the scheduling process, and support equitable teacher workload distribution.
Analysis of Mpox Dynamic Model with Reinfection and Treatment Chasanah, Siti Laelatul; Nurvazly, Dina Eka; Sandy, Ikhlas Pratama; Hasanah, Arvi
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32358

Abstract

This research aims to develop a mathematical model of monkeypox disease spread with reinfection and hospitalization. This model divided the human population into five sub-populations: susceptible, exposed, infectious, hospitalized, and recovered. On the other hand, the animal population is divided into three: susceptible, exposed, and infectious. The results of the model analysis show that the stability of the two equilibrium points, disease-free and endemic, is asymptotically stable when  and , respectively. A sensitivity analysis was conducted on the parameter of the rate at which infected individuals are hospitalized. Based on numerical simulations, a disease-free state has been achieved when more than 68.87% of infected individuals receive hospital treatment. Hospital treatment has a positive impact on efforts to reduce the number of infected individuals in the population. The more individuals who are hospitalized, the greater the number of individuals who are exposed, hospitalized, and recover will increase.
Global Trend of Numeracy Research: A Bibliometric Analysis Using Scopus Database Saputri, Veni; Kusumah, Yaya Sukjaya; Turmudi, T; Jupri, Al
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.33003

Abstract

The study of numeracy has grown rapidly in the last decade, especially after the implementation of the Minimum Competency Assessment (MCA) in Indonesia since 2021. This research aims to map the development of numeracy research globally through bibliometric analysis, with a computational mapping approach using Bibliometrix in RStudio and VOSviewer. Article data was taken from the Scopus database published from 2014 to 2023. Article titles, keywords and abstracts guided the search process with reference to the keyword ‘numeracy’. A total of 811 documents were identified, of which 699 were cited. The analysis showed an increasing publication trend, with a predominance of contributions from specific countries and institutions, and a thematic focus on academic achievement, cognitive ability and early literacy. Keyword visualisations also reveal interrelationships between topics and show that the integration of technology in numeracy learning is still relatively limited. The findings provide a comprehensive overview of the structure and direction of numeracy research and open up opportunities for further exploration in digital and interdisciplinary learning contexts.
Kernel-Truncated Spline: Estimator Fleksibel untuk Regresi Nonparametrik Hidayat, Rahmat; Muthahharah, Isma; Resmawan, Resmawan
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.33062

Abstract

This study aims to develop a multivariable nonparametric regression model using a hybrid approach that combines Spline and kernel estimators. This method is proposed to address the limitations of conventional nonparametric models that typically apply a single type of estimator across all predictor variables, regardless of their individual patterns. In this approach, predictors with oscillatory patterns are modeled using truncated Spline regression, while variables exhibiting complex nonlinear behavior are modeled using a Gaussian kernel estimator. The combined model is constructed and estimated using the Ordinary Least Square (OLS) method and applied to data on the average years of schooling in South Sulawesi Province, Indonesia. Results indicate that the model using two Spline knots and an optimal bandwidth for the kernel component yields the lowest Generalized Cross Validation (GCV) value of 0.142, outperforming models with one or three knots. The best-fitting model achieves a coefficient of determination (R²) of 91.214% and a Mean Squared Error (MSE) of 0.0461. These findings suggest that the hybrid regression approach offers greater flexibility and accuracy in modeling multivariable social data.
Analisis Kemampuan Berpikir Aljabar Ditinjau dari Gaya Kognitif Siswa Adilawati, Fitria Legi; Atiqoh, Khamida Siti Nur; Musyrifah, Eva
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32947

Abstract

The low ability of algebraic thinking in solving math problems is still a problem. One of the causes is that many students still make mistakes when solving math problems. This study aims to describe the algebraic thinking ability of high school students, cognitive style of Field Independent (FI) and Field Dependent (FD) students, determine the relationship and the magnitude of the influence between algebraic thinking ability with cognitive style of students. This research was conducted at 38 Senior High School  Jakarta, 66 Senior High School Jakarta, and 97 Senior High School Jakarta in the 2023/2024 school year. This research is a quantitative descriptive research, the test instrument is 6 items of description of algebraic thinking ability and GEFT test instrument developed by Witkin. The results showed that students' algebraic thinking ability was in the moderate category. Of the 102 respondents, 59% of students have FI cognitive style about 41% of students have FD cognitive style. There is a significant difference that students with FI cognitive style better than students with FD cognitive style. There is an influence between the cognitive style of students on the ability to think algebraically by 16.70%.

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