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All Journal SAINSMAT BAREKENG: Jurnal Ilmu Matematika dan Terapan Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika SAINSMAT: Jurnal Ilmiah Ilmu Pengetahuan Alam Ininnawa: Jurnal Pengabdian Masyarakat Jurnal Hasil-Hasil Pengabdian dan Pemberdayaan Masyarakat (JHP2M) SMART: Jurnal Pengabdian Kepada Masyarakat Journal of Mathematics, Computation and Statistics (JMATHCOS)
Ja'faruddin, Ja'faruddin
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Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Library & Information Science Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation Other

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Journal : journal of mathematics computation and statistics jmathcos

 1 
Ethnomathematics Exploration in Bamboo Tray Weaving (Pattapi) Ja'faruddin, Ja'faruddin; Sitandi , Flora Frisilia; Musyawir, Musyawir; Mutmainnah , Nadia; Pratiwi, Nur Hikmah Kanzha; Syam , Delia Mustika
Journal of Mathematics, Computations and Statistics Vol. 7 No. 2 (2024): Volume 07 Nomor 02 (Oktober 2024)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v7i2.4794

Abstract

This study aims to examine the relationship between mathematics and traditional crafts through a case study of bamboo weaving, specifically patappi or tampah. Using a qualitative case study approach, the research identifies numerical patterns and mathematical modeling inherent in the structure of bamboo weaving. Data were collected through direct observation, visual documentation, and literature review, then analyzed using number pattern concepts and mathematical functions to understand the complex geometric structure within the weaving patterns. The results indicate that the bamboo weaving pattern contains organized geometric structures, such as arithmetic sequences and Pascal’s triangle, reflecting mathematical regularity. Additionally, this study measures the tampah's capacity for filtering rice based on its size and rice density. These findings enrich understanding of the interaction between culture and science and highlight the importance of ethnomathematics in preserving local culture. Keywords: ethnomathematics; arithmetic; number patter; mathematical modeling; culture.
Analysis of Geographically Weighted Negative Binomial Regression (GWNBR) Model with Adaptive Bisquare Kernel Weighting on Factors Causing Acute Respiratory Tract Infection (ARI) in Toddlers in South Sulawesi Province Wihda, Wihdatul Ummi; Ihsan, Hisyam; Ja'faruddin, Ja'faruddin
Journal of Mathematics, Computations and Statistics Vol. 8 No. 1 (2025): Volume 08 Nomor 01 (April 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i1.7745

Abstract

Abstrak. Infeksi Saluran Pernapasan Akut (ISPA) pada balita masih menjadi masalah kesehatan serius di Sulawesi Selatan dengan pola sebaran kasus yang bervariasi antar wilayah. Penelitian ini dilatarbelakangi oleh perlunya pendekatan statistik yang mampu menangkap heterogenitas spasial, yaitu model Geographically Weighted Negative Binomial Regression (GWNBR).Penelitian ini bertujuan untuk mengestimasi parameter model Geographically Weighted Negative Binomial Regression(GWNBR) dengan pembobot adaptive bisquare kernel, menganalisis penyebaran spasial kasus Infeksi Saluran Pernapasan Akut (ISPA) pada balita, serta mengidentifikasi faktor-faktor signifikan yang memengaruhi kejadian ISPA di Provinsi Sulawesi Selatan. Data yang digunakan merupakan data sekunder dari survei kesehatan Badan Pusat Statistik (BPS) Indonesia, mencakup 24 kabupaten/kota selama satu tahun. Hasil menunjukkan bahwa model GWNBR mampu menangkap variasi spasial antarwilayah dengan baik, dibuktikan oleh nilai AIC terendah dan Quasi-global R² sebesar 0,9489. Faktor-faktor yang secara signifikan memengaruhi ISPA pada balita meliputi persentase perokok usia ≥15 tahun, jumlah penduduk miskin, indeks literasi masyarakat, serta tingkat pendidikan. Di beberapa wilayah, seperti Kabupaten Barru, persalinan tanpa fasilitas kesehatan juga berpengaruh signifikan. Temuan ini menegaskan pentingnya pendekatan spasial dalam perumusan kebijakan kesehatan yang responsif terhadap karakteristik lokal. Kata Kunci: Analisis spasial, GWNBR, ISPA, overdispersi
The Coefficient Parallelisator Matrix: A Diagonal Similarity Operator for Symmetry Preservation in Knot Semantic Logic Ja'faruddin, Ja'faruddin; Ashari, Nur Wahidin; Baharuddin, Baharuddin; Asyari, Syahrullah; Fadiyah, Wulan Nur; Farhan, Muhammad
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.10762

Abstract

This study introduces the Coefficient Parallelisator Matrix (CPM) as a novel diagonal similarity operator designed to preserve structural and semantic symmetry within the framework of Knot Semantic Logic (KSL). The CPM formalizes the process of parallelization in linguistic and conceptual structures by transforming semantic matrices through similarity operations that maintain eigenvalues, determinants, and symmetry invariants. Each element of the CPM acts as a scaling coefficient, re- balancing semantic weights while conserving the overall interpretive equilibrium of the text. Mathematically, the transformation A′ = MAM−1 establishes a spectral equivalence between the original and parallelized structures, ensuring that both share identical eigen-spectra, determinant, and Hermitian invariants. This invariance reflects a form of semantic gauge symmetry, wherein the un- derlying topology of meaning remains stable despite local transformations in semantic intensity. Conceptually, the operator bridges linguistic theory, topology, and algebraic representation, providing a formal mechanism for analyzing reflective relations such as parallelism, chiasmus, and concentric composition. The findings extend the mathematical foundation of KSL by establishing the Coefficient Parallelisator as an analytical framework for quantifying semantic symmetry—enabling deeper integration between mathematical logic, structural linguistics, and computational semantics.
A Comparative Performance Evaluation of Copilot, Gemini, and DeepSeek in Understanding Knot Semantic Logic Khaerati, Khaerati; Ja'faruddin, Ja'faruddin; Fadilah, Nur; Aslindawati, Nur; Fadiyah, Wulan Nuf; Ihsan, Muh.
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/7x4cwq80

Abstract

This study examines the ability of three artificial intelligence (AI) models Copilot 3.7 Sonnet, Gemini 1.5, and DeepSeek-R1 to interpret Knot Semantic Logic (KSL), a topological framework emphasizing semantic symmetry in textual structures. A qualitative descriptive design with comparative analysis was employed. Structured prompts tested the models across three stages: basic concept mastery, analysis of symmetrical sentences, and generalization to new inputs. Performance was assessed using five indicators Conceptual Accuracy, Structural Accuracy, Generalization, Consistency, and Narrative Clarity combined into a KSL-AI Index. The results show distinct performance profiles. Copilot produced accessible explanations but lacked structural precision. Gemini demonstrated stability in recognizing semantic symmetry, supported by large-scale multimodal and multilingual training, although its technical style limited accessibility. DeepSeek showed strength in detecting simple patterns and basic logic but was less consistent and struggled with complex generalization tasks. The study validates KSL as an innovative evaluation tool, extending AI assessment beyond narrative fluency to structural semantic reasoning. It concludes that Copilot is best suited for pedagogical use, Gemini for consistent analytical tasks, and DeepSeek for exploratory analysis. Future work should integrate quantitative measures, multimodal testing, and broader model comparisons.
Application of the Logistic Growth Model for Forecasting Population Dynamics in Makassar Pratama, Muhammad Isbar; Ja'faruddin, Ja'faruddin; Ansi, Ansi
Journal of Mathematics, Computations and Statistics Vol. 9 No. 1 (2026): Volume 09 Issue 01 (March 2026)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/abd0sq36

Abstract

The continuous increase in population requires accurate forecasting methods to support development planning. This study aims to apply the logistic model to forecast the population of Makassar City using data from the Central Bureau of Statistics (BPS) for the period 2015–2024. The research employed a quantitative descriptive method with logistic differential equation modeling. The carrying capacity (K) parameter was determined analytically, while the growth rate (r) was calculated annually, resulting in nine different logistic models. The accuracy of each model was evaluated using the Mean Absolute Percentage Error (MAPE) to identify the best model. The results indicate that the ninth logistic model produced the smallest MAPE value of 1,95% and was used to project the population for 2030–2035. Based on this model, the population of Makassar City is projected to reach 1,495,521 people in 2030 and increase to 1,510,058 people in 2035. These findings demonstrate that the logistic model can serve as an effective tool for population growth forecasting to support sustainable development planning.
Co-Authors Ahmad Faisal Amin, Resky Fadila Ansi, Ansi Ardiyanti, Fifi Aris, Fauzan Abdillah Aslindawati, Nur Awi Dassa Azzahra, Aulia Baharuddin Baharuddin Fadiyah, Wulan Nuf Fadiyah, Wulan Nur Fajar Arwadi Faruq, Ahmad Al Hassan, Muhammad Nasiru Hisyam Ihsan Irwan Irwan jelita, jelita Khaerati Khaerati, Khaerati Latif, Lhenny Ardillah Mahdiyah, Muyassarah Muh. Ihsan Muhammad Ammar Naufal Muhammad Farhan Muhammad Isbar Pratama Muhammad, Fadhel Musyawir, Musyawir Mutmainnah , Nadia Nasrullah Nasrullah Ningsih, Rika Rahayu Novianti, Gita Eka NUR FADILAH Nurdin Arsyad, Nurdin Nurdin, Nurazizah Nyulle, Rusdianto Pratiwi, Annisa Triananda Pratiwi, Nur Hikmah Kanzha Qalzum, Umrah Nur risaldi, risaldi Saputra, Andika Ardel Satrina, Satrina Sitandi , Flora Frisilia Syahrullah Asyari, Syahrullah Syam , Delia Mustika Syamsuddin Mas'ud Takdirming, Takdirming Thaha, Irwan Utary, Utary Wahidin Ashari, Nur Wahyuni, Maya Sari Wihda, Wihdatul Ummi