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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 19 Documents
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Search results for , issue "Volume 13 Issue 2 August 2025" : 19 Documents clear
Forecasting Zakat Potential in BAZNAZ East Java Using the ARIMAX Method with Calendar Variation Effects Sari, Lia Puspita; Hamid, Abdulloh; Khaulasari, Hani
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.v13i2.31456

Abstract

Zakat is a Muslim act of worship that is related to wealth and is one of the instruments used in economic development so that it can solve the problem of poverty. According to the Central Statistics AgencyZakat is an Islamic obligation related to wealth distribution and functions as a key instrument in economic development, particularly in alleviating poverty. According to the Central Statistics Agency, East Java had the highest number of poor people in Indonesia in 2023. BAZNAS (Badan Amil Zakat Nasional) plays a strategic role in managing zakat funds to support poverty reduction efforts. Accurate information on zakat potential is crucial for ensuring the effective management and distribution of zakat. This study aims to model, evaluate the accuracy, and forecast the zakat potential at BAZNAS East Java untuk Januari sampai dengan Desember 2024 using the Autoregressive Integrated Moving Average with Exogenous (ARIMAX) Variables method. ARIMAX extends the ARIMA model by incorporating exogenous variables. In this study, the exogenous variables used are a deterministic trend and a Hijri calendar dummy variable representing the month of Ramadan, The results show that the best-performing model is ARIMAX([12],1,1), with a MAPE value of 18%, indicating a reasonably accurate forecast. The zakat potential for the next 12 months is projected to remain relatively stable, with a significant increase of IDR 6,674,988,827.25 expected in April 2024. This spike coincides with the month of Ramadan, when Muslims customarily pay zakat fitrah and zakat mal.
Analisis Kemampuan Berpikir Kritis dan Penalaran pada Soal Open Ended: Dampak Model Problem Based Learning dan Model Discovery Learning Mujahidah, Mujahidah; Nursalam, Nursalam; Suharti, Suharti; Majid, Ahmad Farham; Angriani, Andi Dian
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.v13i2.31332

Abstract

Critical thinking and reasoning skills are essential cognitive aspects that must be developed in mathematics education to address the demands of the 21st century. This study aimed to analyze the differences in students’ critical thinking and reasoning abilities in solving open-ended problems through the implementation of Problem-Based Learning and Discovery Learning models. A quantitative approach was used, employing an experimental method with a factorial design. The sample consisted of two groups of students, each receiving a different treatment, with a total of 58 participants. The research instrument was a set of open-ended essay questions. Data were analyzed using univariate t-tests and multivariate mean difference tests. The findings indicated no significant difference in critical thinking skills between students taught with the two learning models. However, a significant difference was found in reasoning ability, as well as a simultaneous difference in both critical thinking and reasoning between the groups.
Penerapan Regresi Conway Maxwell Poisson untuk Mengatasi Overdispersi pada Jumlah Kematian Bayi di Provinsi Jawa Barat Santi, Vera Maya; Kamil, Adine Ihsan; Ladayya, Faroh
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.v13i2.31356

Abstract

Infant Mortality Rate (IMR) is a key public health indicator reflecting the social, economic, environmental, and healthcare service quality conditions of a population. In 2023, West Java recorded the highest number of infant deaths in Indonesia. These data are count-type in nature and are commonly analyzed using Poisson regression. However, due to the frequent occurrence of overdispersion, the Poisson method becomes less appropriate. As an alternative, the Conway-Maxwell Poisson (CMP) regression is employed, offering greater flexibility in handling violations of the equidispersion assumption. This study aims to apply CMP regression to address overdispersion in the number of infant deaths in West Java Province using the Maximum Likelihood (ML) estimation method. The data used in this study comprise the total number of infant deaths in 2023 across 27 districts and cities in West Java Province. The ML parameter estimation analysis shows that the dispersion parameter values obtained from the CMP and Poisson models are 10.92 and 126.49, respectively. In terms of model evaluation criteria, the CMP model yields an AIC of 402.455 and BIC of 415.41, whereas the Poisson model shows an AIC of 4183.46 and BIC of 4195.12. These results indicate that the CMP model outperforms the Poisson model in handling infant mortality data. Furthermore, four variables are found to be statistically significant in explaining the number of infant deaths in West Java Province, namely the percentage of antenatal care coverage (K4), the number of health facilities by district/city, the percentage of households with clean and healthy living behavior (PHBS), and the percentage of neonatal asphyxia complications, with a significance level of alpha = 5%.
(σ,τ)-derivasi pada Ring Grup Waluyo, Ridho; Faisol, Ahmad; Fitriani, Fitriani
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.v13i2.31564

Abstract

Derivations play a fundamental role in ring theory and have been extensively studied and generalized, including to (σ, τ)-derivations, which involve endomorphisms σ and τ. While many studies have focused on (σ, τ)-derivations in prime, semiprime, or commutative rings, explicit constructions and investigations of such derivations in group rings remain limited. This paper constructs several concrete examples of (σ, τ)-derivations on group rings and explores their algebraic properties. The approach provides systematic illustrations and characterizations of derivations in noncommutative ring structures based on groups, thereby contributing to the development of derivation theory in group ring contexts.
Analisis Regresi Logistik Biner dan Random Forest untuk Prediksi Faktor-Faktor Stunting di Pulau Jawa Yuniarsyih R.A, Rizqi Dwi; Muhadi, Rizqi Annafi; Fitrianto, Anwar; Silvianti, Pika
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.v13i2.31680

Abstract

This study aimed to compare the performance and variable identification capabilities of Binary Logistic Regression and Random Forest models in classification analysis. The results showed that both methods consistently identified variables X1, X3, and X4 as the most influential factors in predicting outcomes. However, Binary Logistic Regression also identified variable X6 as statistically significant, which was not reflected in the Random Forest model. In terms of model performance, Random Forest outperformed Binary Logistic Regression across all evaluation metrics, including accuracy, precision, sensitivity, specificity, and balanced accuracy. These findings suggested that Random Forest was more effective in handling complex data structures and delivering optimal classification results, while Binary Logistic Regression excelled in providing deeper interpretability of variable relationships. Therefore, the choice of method should have aligned with the analytical objectives, and combining both approaches could have yielded more comprehensive insights.
Mathematical Modeling of Cholera Transmission Capturing Vaccine Effect and Age Structure Using Homotopy Perturbation Method Kolawole, Mutairu K.; Adebayo, Segun R.
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.v13i2.31580

Abstract

This research presents a detailed mathematical model for cholera transmission, incorporating age structure and vaccine effects. The model is analysed using mathematical methods to examine the disease-free and endemic equilibria, positivity, existence, uniqueness, and well-posedness of the epidemic model. The basic reproduction number is calculated, helping to assess cholera's transmission potential and the effectiveness of interventions. Local stability analyses around the disease-free and endemic equilibria provide insights into the system's behavior under different conditions, while global stability analyses determine the long-term behavior of the epidemic. Sensitivity analysis, conducted using the homotopy perturbation method, evaluates how variations in model parameters affect disease dynamics. By integrating age structure and vaccination into the model, the study explores how demographic factors influence cholera control strategies. The model's uniqueness is mathematically proven, ensuring the reliability of the results. Overall, this research advances the understanding of cholera dynamics, offering insights for designing sustainable and effective public health interventions to control the disease by health practitioners.
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.

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