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Journal : Journal of Mathematics, Computation and Statistics (JMATHCOS)

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.