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All Journal GRADIEN BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Matematika UNAND
Mulia Astuti
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Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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Bentuk Umum Perluasan Teorema Pythagoras Astuti, Mulia; Keraman, Buyung; Rafflesia, Ulfasari
GRADIEN : Jurnal Ilmiah MIPA Vol 2, No 1 (2006): (Januari 2006)
Publisher : Universitas Bengkulu

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (199.729 KB)

Abstract

Penelitian ini membahas perluasan teorema Pythagoras melalui pendekatan hubungan kesetaraan pada luas daerah. Secara matematis luas daerah diukur berdasarkan variabel-variabel yang terkait dan kesetaraan pada luas daerahdikembalikan pada kesetaraan fungsi-fungsi yang mengacu pada variabel tersebut. Perluasan teorema Pythagoras di R2 dengan pendekatan hubungan kesetaraan pada luas daerah dapat menjelaskan hubungan luas daerah yang berkaitan dengan panjang sisi-sisi segitiga siku-siku. Fokus dari penelitian ini adalah membahas perluasan teorema Pythagoras di Rn .   
MAPPING EARTHQUAKE MAGNITUDES IN BENGKULU PROVINCE AND SURROUNDING AREAS USING ROBUST ORDINARY KRIGING Swita, Baki; Astuti, Mulia; Faisal, Fachri; Nuryaman, Aang
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 3 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss3pp1537-1552

Abstract

Bengkulu Province, situated in a subduction zone between the Indo-Australian and Eurasian plates, is highly susceptible to significant seismic activity, including major earthquakes in 2000 and 2007 with magnitudes exceeding 7. This research investigates the geographical distribution of earthquake magnitudes in Bengkulu Province and surrounding areas from 2000 to 2023. Understanding these spatial patterns is crucial for enhancing disaster preparedness and risk mitigation strategies in this high-risk region. Previous studies on earthquake distribution in Indonesia have provided valuable insights but often struggle with outliers and data variability, limiting their accuracy. Conventional Ordinary Kriging methods, though widely used, are sensitive to outliers, leading to potential inaccuracies. This study addresses these limitations by applying a robust Ordinary Kriging approach, which effectively mitigates the influence of outliers, thereby improving prediction reliability. The research utilizes earthquake data, including geographical coordinates and recorded magnitudes. It applies both classical and robust experimental semivariograms (Cressie-Hawkins) to model the spatial structure using theoretical variogram models—spherical, exponential, and Gaussian. The best-fit model is determined based on the lowest root mean square error (RMSE), ensuring accurate representation of spatial patterns. The results demonstrate that robust Ordinary Kriging accurately maps the spatial distribution of earthquake magnitudes, revealing clusters of higher magnitude events in specific regions of Bengkulu Province. These findings identify high-risk areas, providing essential data for disaster mitigation and risk management planning. This study significantly contributes to the field of seismology and geostatistics by enhancing the accuracy of magnitude distribution mapping. The resulting maps support local governments, urban planners, and disaster response organizations in developing more effective mitigation strategies, improving infrastructure resilience, and strengthening early warning systems. Ultimately, this research aims to foster safer, more prepared communities in Bengkulu Province and beyond.
Integral Hypergraphs Of The Cartesian Product Of Fano Plane And Latin Squares Of Order 3 Astuti, Mulia; Mayasari, Zulfia Memi; FAISAL, FACHRI; AFANDI, NUR
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.333-340.2025

Abstract

Operasi pada hipergraf adalah suatu cara untuk mengkonstruksi suatu hipergraf dengan struktur yang lebih besar. Salah satu operasi pada hipergraf yang biasa dipelajari adalah operasi kali Kartesius. Suatu hipergraf dikatakan integral jika semua nilai karakteristik dari matriks ketetanggaannya adalah bilangan bulat. Dalam makalah ini, dipelajari dua kelas hipergraf yaitu, bidang Fano dan latin square orde 3. Dapat ditunjukkan bahwa kedua kelas hipergraf tersebut adalah integral. Selanjutnya, ditentukan hipergraf hasil operasi kali Kartesius dari kedua hipergraf tersebut. Dapat dibuktikan bahwa operasi kali Kartesius pada hipergraf mempertahankan sifat keintegralan.
Co-Authors Aang Nuryaman Buyung Keraman Fachri Faisal Nur Afandi Swita, Baki Ulfasari Rafflesia Zulfia Memi Mayasari