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Print ISSN: 2944-9162, E-ISSN: 2732-9941 An Open Access International Journal of Applied Science and Engineering
Volume 5, 2025
Hyper G-Matrix Pairs and Applications in Dentistry
Authors: ,
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Abstract: This study investigates the application of Hyper G-matrix pairs from linear algebra to dental
microbiology. A mathematical framework is presented for modeling the complex interaction networks
of the oral microbiome. Hyper G-matrix pairs quantitatively express the relationship between microbial
interactions under two different clinical conditions. The presented numerical examples demonstrate that
this approach can be used for assessing caries risk and predicting treatment effectiveness. Both approximate
and exact Hyper G-matrix pairs are examined, and their clinical interpretations are explained in
detail. The study is based on recent publications on Hyper G-matrices.
Keywords:
Matrix theory, hypermatrix pairs, G-matrices, applied mathematics, dentistry, medical
imaging, computational modeling, orthodontics, tensors, interdisciplinary applications
Pages: 94-105
DOI: 10.37394/232020.2025.5.13