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ARRUS Journal of Mathematics and Applied Science
Published by Yayasan Ahmar Cendekia Indonesia
ISSN : 27767922     EISSN : 28073037     DOI : https://doi.org/10.35877/mathscience.v1i1
Core Subject : Science, Education,
Biochemistry, Genetics & Molecular Biology Chemistry Decision Sciences, Operations Research & Management Mathematics Physics
Aim: To drive forward the fields related to Applied Sciences, Mathematics, and Its Education by providing a high-quality evidence base for academicians, researchers, scholars, scientists, managers, policymakers, and students. Scope: The focus is to publish papers that are authentic, original, and plagiarism free and should in interest of society and the world.
Arjuna Subject : Umum - Umum
Articles 75 Documents
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Strategy for Development of Seaweed Cultivation Production Using the Long Line System Method Rasjid, Yusniar; Taskirah, Andi
ARRUS Journal of Mathematics and Applied Science Vol. 4 No. 1 (2024)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience2937

Abstract

This research aims to determine the development of Eucheumaspinosium seaweed cultivation techniques using the long-line method and the quality of seaweed using the long-line method. The samples in this research are seaweed Eucheuma sp. The data collection technique is quantitative data in quantities derived from the shape and cleanliness of seaweed cultivated using the long line method. The data obtained were analyzed using an experimental design (RAL). From the results of the data analysis, it can be seen that cultivating Eucheuma Spinosium seaweed, using node distances of 2cm, 5cm, 10cm, 15cm, and 20 cm, the best node distance to use using the long line method is 10 cm which shows greater growth. fast compared to other distances, but this 10 cm distance still does not affect the quality of the Eucheuma sp seaweed.
The Modeling Maximum Water Level in Sangkuliman East Borneo using Singular Spectrum Analysis Dani, Andrea Tri Rian; Mislan, Mislan; Putra, Fachrian Bimantoro
ARRUS Journal of Mathematics and Applied Science Vol. 4 No. 2 (2024)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience2945

Abstract

Penelitian ini bertujuan untuk memodelkan rata-rata tinggi muka air maksimum di danau Sangkuliman dengan menggunakan data runtun waktu yang dikumpulkan sejak Januari 2015 – Desember 2022. Metode yang digunakan adalah Singular Spectrum Analysis (SSA). SSA adalah salah satu metode analisis runtun waktu yang memiliki kelebihan, diantaranya fleksibilitas dalam mendeteksi pola khususnya pola musiman. Data dibagi menjadi data in-sample dan out-sample dengan proporsi 90:10. Ukuran akurasi yang digunakan adalah Symmetric Mean Absolute Percentage Error (SMAPE). Berdasarkan hasil analisis, diperoleh windown length optimal L = 12 dengan nilai SMAPE minimum. Hasil peramalan dari SSA berdasarkan koefisien Linear Recurrent Formula (LRF) menunjukkan pola data hasil prediksi cenderung mengikuti pola data aktual.
Forecasting the Total of Paddy Production in Indonesia Using Time Series Regression Model Kesuma, Ahmad Rizky; Siringoringo, Meiliyani; Mahmuda, Siti
ARRUS Journal of Mathematics and Applied Science Vol. 4 No. 2 (2024)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience3175

Abstract

Time series regression (TSR) is a forecasting model that can be used when there are trend and seasonal patterns. Paddy is a source of rice, which is a staple food for the Indonesian people. Paddy has a seasonal pattern because its cultivation depends on the rainy season. This study forecasts the amount of paddy production in Indonesia based on monthly data of paddy production in Indonesia to determine the production of paddy in 2023 and to assess the ability of the TSR model to forecast paddy production. The results showed that paddy production in 2023 is forecasted to have the same seasonal pattern as in previous years and reaches its peak production in April at 8.699 million tons. The TSR model of paddy production has a mean absolute percentage error (MAPE) of 8.654% indicating a very good forecasting accuracy.
Geographically Weighted Regression with Bi-Square Kernel Weights for Life Expectancy Data in East Java Province Meliyana, Sitti Masyitah; Rusli, R.; Rahman, Abdul
ARRUS Journal of Mathematics and Applied Science Vol. 4 No. 2 (2024)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience3396

Abstract

This study explores the application of Geographically Weighted Regression (GWR) using a Bi-Square Kernel weighting function to analyze life expectancy data across East Java Province. By incorporating spatial heterogeneity, the GWR model provides more accurate and localized insights compared to traditional global regression models. The results indicate significant spatial variability in the effects of poverty rate, healthcare facilities, sanitation, health complaints, and immunization coverage on life expectancy. Based on the analysis of life expectancy estimates in regencies/cities of East Java Province, the Madura region exhibits lower life expectancy compared to other areas, with Bangkalan Regency having the lowest life expectancy at 61.43 years. Additionally, urban areas generally have higher life expectancy than rural areas, with Surabaya City recording the highest life expectancy in East Java at 72.03 years. This disparity can be attributed to differences in the quality of healthcare services and better access to healthcare in urban areas compared to rural ones.
Mathematical Representation Ability of Algebraic Form Material of Class VII Students at SMPN 7 Makassar Rusli, R.; Dassa, Awi; Pebrianty, Nurafni; Musa, Hastuty
ARRUS Journal of Mathematics and Applied Science Vol. 4 No. 2 (2024)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience3402

Abstract

This study aims to determine how the mathematical representation ability of seventh grade students at SMPN 7 Makassar in solving algebraic form problems. This type of research is qualitative research with a descriptive approach. The subjects of this study were 3 students from class VII.8 SMPN 7 Makassar in the 2021/2022 academic year. The focus of this research is the ability of visual representation, symbolic representation (mathematical expression) and verbal representation. The instruments used in data collection are mathematical representation ability test questions and interview guidelines. The results showed that: (1) Representation ability on visual indicators is moderate. The three subjects were able to present images of the given story problems but the subjects still had difficulty in presenting images of the given mathematical symbols. (2) Mathematical representation ability on mathematical expression indicators is low. There are 2 subjects who are able to solve problems involving mathematical expressions but the three subjects have not been able to create equations or mathematical models from other given representations. (3) Mathematical representation ability on verbal indicators is quite high. On average, subjects were able to solve problems by presenting statements using everyday language from the given mathematical equations even though there were still subjects who were mistaken in solving the problem.
The Influence of the Self-Directed Learning Approach on the Independence and Learning Outcomes of Grade 10 Students at SMAN 2 Bulukumba in Mathematics Learning Rahman, Abdul; Sutamrin, Sutamrin; Syakir, Ade Irma Zetyani
ARRUS Journal of Mathematics and Applied Science Vol. 4 No. 2 (2024)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience3411

Abstract

This research aims to determine the influence of the Self-Directed Learning approach on the independence and learning outcomes of grade 10 students at SMAN 2 Bulukumba in mathematics learning. This research is a pre-experimental study using a one-group pre-test-post-test method. The population in this study was all grade 10 students at SMAN 2 Bulukumba, consisting of 10 classes, and the sample of this study was class X.1 with 28 students. Data was collected using learning outcome tests and learning independence questionnaires. The data analysis technique used was descriptive and inferential statistical analysis. The results of the descriptive statistical analysis are: (1) The average score of students' learning outcomes before the implementation of the Self-Directed Learning approach was 25.78, which is categorized as very low, (2) The average score of learning outcomes after the implementation of the Self-Directed Learning approach was 81.40, which means it is in the high category, (3) students' learning independence before the implementation of the Self-Directed Learning approach before the implementation of the Self-Directed Learning approach was in the fairly independent category or with an average score of 46.16, (4) students' learning independence after the implementation of the Self-Directed Learning approach was in the independent category or with an average score of 64.49. Meanwhile, the results of inferential statistical analysis show that the implementation of the Self- Directed Learning approach has a positive impact on the learning outcomes and learning independence of grade 10 students at SMAN 2 Bulukumba.
Metabolite-Group Selection On Temu Ireng (Curcuma Aeruginosa) Contains Related To Toxicity Activity By Using Group Lasso Regression H S, Rahmat; Afendi, Farit Mochamad; Wijayanto, Hari
ARRUS Journal of Mathematics and Applied Science Vol. 4 No. 2 (2024)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience3626

Abstract

Metabolites are expressed in mass-to-charge ratio (m/z) on mass spectrometry experiments. They can be identified more than once. Some of m/z representing same metabolites can be considered as a group of metabolites. Evaluation of metabolite effects can be considered based on the groups. Group least absolute shrinkage and selection operator (group lasso) regression can be used to evaluate these groups. It shrinks some coefficients of regression exactly to be zero by adding intermediate penalty on ordinary least square (OLS) objective function. The purposes of this study were to estimate groups of metabolite contains of Curcuma aeruginosa (Temu ireng) affecting toxicity activity by using group lasso regression and to compare it to partial least square regression (PLSR). The data used were toxicity activity and metabolite contain, obtained from LC-MS, of temu ireng from three areas in Java. The groups of metabolites which affected toxicity activity, of group lasso regression by using dedicated software of R with gglasso package, were groups of m/z 238.150, 250.165, 262.128, 264.144, 312.275, and 456.183. The estimates of metabolites that affected of group lasso regression and PLSR had similarities. Based on the goodness of fit, group lasso regression was better than PLSR to estimate the affecting groups.
The Analysis of Students' Creative Thinking Abilities in View of Mathematics Anxiety Levels in Class IX of Junior High Schools Indah Sari; Abdul Rahman; Rosidah
ARRUS Journal of Mathematics and Applied Science Vol. 4 No. 2 (2024)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience3625

Abstract

This research is qualitative research with phenomenological research methods. Phenomenological research is a type of qualitative research that deeply examines individuals' explanations and understandings of their experiences. The subjects of this study were 4 (four) grade IX students. Data collection techniques in this study were questionnaires, tests, and interviews. The research instruments used are a questionnaire of math anxiety level, creative thinking ability test, andi nterview guidelines. Data analysis techniques in this research include data condensation, datap resentation, and conclusion drawing. Students with low anxiety level were able to fulfill all four indicators of creative thinking ability, while students with high anxiety level were only able to fulfill two indicators of creative thinking ability.
Bifurcation Analysis of an Infectious Respiratory Disease with Lockdown and Social Distancing Wanjala, Henry; Okongo, Mark; Ochwach, Jimrise
ARRUS Journal of Mathematics and Applied Science Vol. 4 No. 2 (2024)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience3033

Abstract

This paper analyzes the impact of lockdown, social distancing, and isolation of symptomatic patients on the transmission of infectious respiratory diseases. The study uses predictive mathematical models to explore disease progression and evaluate control strategies. The results show that the disease-free equilibrium is locally stable but globally unstable, indicating that while these measures can slow the infection, they alone cannot eradicate the disease. Local stability was assessed using the determinant-trace matrix method, while global stability was analyzed through the Lyapunov-Krasovskii method, revealing instability around the global endemic equilibrium. Bifurcation analysis was conducted to identify critical points where small parameter changes could cause significant shifts in system behavior. Numerical simulations were performed using Python’s NumPy and PyPlot libraries to understand the dynamics of disease spread and evaluate various intervention strategies. The simulations demonstrated how changes in control measures affect the disease’s trajectory. In the absence of effective treatments or vaccines, the findings suggest that social distancing, lockdowns, and isolation are vital for controlling the spread of the pandemic and reducing mortality. These strategies will be essential for mitigating the impact of the disease in the short term.
Geometric Programming: A Literature Review and Thematic Research Developments Mas'ud, Syamsuddin
ARRUS Journal of Mathematics and Applied Science Vol. 5 No. 1 (2025)
Publisher : PT ARRUS Intelektual Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/mathscience3896

Abstract

This study examines Geometric Programming (GP) developments from 2014 to 2024 through a systematic literature review, focusing on theoretical advancements (e.g., successive convexification, weighted-sum fuzzy GP), model generalizations (e.g., Robust GP, Neutrosophic GP), and integration with AI/ML. Using thematic analysis of peer-reviewed publications and case studies, the results demonstrate GP’s unique capability to transform nonconvex problems into convex forms via logarithmic transformations, enabling efficient solutions for energy systems and logistics. While GP has achieved global maturity with tools like CVXPY and GPkit, its adoption in Indonesia remains limited despite relevance to archipelagic energy distribution and infrastructure planning (e.g., IKN). The study identifies critical requirements for local implementation: context-specific validation, enhanced computational capacity, and interdisciplinary collaboration, providing a strategic framework for GP’s evidence-based application in Indonesia.

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