A mini-review on ancient mathematics’ modern applications with an emphasis on the old Babylonian mathematics for MEMS systems
This paper offers a concise overview regarding ancient Chinese mathematics, centering on the Ying Buzu Shu, He Chengtian inequality, and the frequency formulation stemming from them. Moreover, it delves into the Max-min approach and Chunhui He’s iterative algorithm. What’s more, the spotlight is cas...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2024-12-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2024.1532630/full |
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| author | Jing-Yan Niu Guang-Qing Feng |
| author_facet | Jing-Yan Niu Guang-Qing Feng |
| author_sort | Jing-Yan Niu |
| collection | DOAJ |
| description | This paper offers a concise overview regarding ancient Chinese mathematics, centering on the Ying Buzu Shu, He Chengtian inequality, and the frequency formulation stemming from them. Moreover, it delves into the Max-min approach and Chunhui He’s iterative algorithm. What’s more, the spotlight is cast on ancient Chinese mathematics, which bears certain similarities to the ancient Babylonian mathematical tradition. Subsequently, the old Babylonian algorithm for computing square roots is adapted to tackle the hurdle of nonlinear differential equations. To showcase the potential of this approach, a set of Micro-Electro-Mechanical systems (MEMS) problems are utilized to exemplify the effectiveness of the modified old Babylonian algorithm in attaining high-precision analytical solutions, accompanied by an exploration of its prospective applications. |
| format | Article |
| id | doaj-art-ea19d304eb2c422494af4b3d7d804792 |
| institution | Kabale University |
| issn | 2296-424X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj-art-ea19d304eb2c422494af4b3d7d8047922024-12-24T05:10:30ZengFrontiers Media S.A.Frontiers in Physics2296-424X2024-12-011210.3389/fphy.2024.15326301532630A mini-review on ancient mathematics’ modern applications with an emphasis on the old Babylonian mathematics for MEMS systemsJing-Yan Niu0Guang-Qing Feng1College of Technology, Jiaozuo Normal College, Jiaozuo, ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, ChinaThis paper offers a concise overview regarding ancient Chinese mathematics, centering on the Ying Buzu Shu, He Chengtian inequality, and the frequency formulation stemming from them. Moreover, it delves into the Max-min approach and Chunhui He’s iterative algorithm. What’s more, the spotlight is cast on ancient Chinese mathematics, which bears certain similarities to the ancient Babylonian mathematical tradition. Subsequently, the old Babylonian algorithm for computing square roots is adapted to tackle the hurdle of nonlinear differential equations. To showcase the potential of this approach, a set of Micro-Electro-Mechanical systems (MEMS) problems are utilized to exemplify the effectiveness of the modified old Babylonian algorithm in attaining high-precision analytical solutions, accompanied by an exploration of its prospective applications.https://www.frontiersin.org/articles/10.3389/fphy.2024.1532630/fullBabylonian algorithmrecursive formuladifferential equationMEMS systemfrequency-amplitude relationship |
| spellingShingle | Jing-Yan Niu Guang-Qing Feng A mini-review on ancient mathematics’ modern applications with an emphasis on the old Babylonian mathematics for MEMS systems Frontiers in Physics Babylonian algorithm recursive formula differential equation MEMS system frequency-amplitude relationship |
| title | A mini-review on ancient mathematics’ modern applications with an emphasis on the old Babylonian mathematics for MEMS systems |
| title_full | A mini-review on ancient mathematics’ modern applications with an emphasis on the old Babylonian mathematics for MEMS systems |
| title_fullStr | A mini-review on ancient mathematics’ modern applications with an emphasis on the old Babylonian mathematics for MEMS systems |
| title_full_unstemmed | A mini-review on ancient mathematics’ modern applications with an emphasis on the old Babylonian mathematics for MEMS systems |
| title_short | A mini-review on ancient mathematics’ modern applications with an emphasis on the old Babylonian mathematics for MEMS systems |
| title_sort | mini review on ancient mathematics modern applications with an emphasis on the old babylonian mathematics for mems systems |
| topic | Babylonian algorithm recursive formula differential equation MEMS system frequency-amplitude relationship |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2024.1532630/full |
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