Rebuild of King Fang 40 BC musical scales by He’s inequality
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摘要
He Chengtian’s inequality is used to re-build the King Fang’s musical scales 41/24 and 53/31 in 40 BC. The technology, which might be little known to the West, has been used for millennia by ancient Chinese, and can be powerfully applied to nonlinear problems.
论文关键词:Inequality,Musical scale,Nonlinear interpolation,Nonlinear equations,Jiuzhang Suanshu (nine chapters),Chinese lunar calendar,Pi,He Chengtian,King Fang,Zu Chongzhi,Liu Hui
论文评审过程:Available online 19 November 2004.
论文官网地址:https://doi.org/10.1016/j.amc.2004.09.016