Rebuild of King Fang 40 BC musical scales by He's inequality

DOI10.1016/J.AMC.2004.09.016zbMath1160.00307OpenAlexW2001595005MaRDI QIDQ2572733

Jie Tang, Ji-Huan He

Publication date: 4 November 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.09.016

zbMATH Keywords

inequalitynonlinear equationsLiu Huinonlinear interpolationmusical scaleHe ChengtianChinese lunar calendarJiuzhang Suanshu (Nine chapters)King FangPiZu Chongzhi

Mathematics Subject Classification ID

History of Chinese mathematics (01A25) Mathematics and music (00A65)

Related Items (4)

Nonlinear oscillator with discontinuity by the max-min approach ⋮ An ancient Chinese mathematical algorithm and its application to nonlinear oscillators ⋮ Approximate solutions for nonlinear oscillation of a mass attached to a stretched elastic wire ⋮ The max-min approach to a relativistic equation

Cites Work

• Ancient Chinese mathematics: the \textit{Jiu Zhang Suan Shu} vs Euclid's \textit{Elements}. Aspects of proof and the linguistic limits of knowledge
• Ancient Chinese algorithm: The ying buzu shu (method of surplus and deficiency) vs Newton iteration method
• Solution of nonlinear equations by an ancient Chinese algorithm.
• Some interpolation formulas in Chinese ancient mathematics
• He Chengtian's inequality and its applications
• Zu-Geng's axiom vs Cavalieri's theory
• Pianos and Continued Fractions

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