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All Journal SAINSMAT BAREKENG: Jurnal Ilmu Matematika dan Terapan Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika 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 Computer Science & IT Control & Systems Engineering 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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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 Ansi, Ansi Ardiyanti, Fifi Aris, Fauzan Abdillah Aslindawati, Nur 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 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 Utary, Utary Wahidin Ashari, Nur Wahyuni, Maya Sari Wihda, Wihdatul Ummi