Continued Fraction Method for an Ancient Chinese Musical Equation

Jia-Cheng Lan; Zhen Yang

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Continued Fraction Method for an Ancient Chinese Musical Equation

机译：中国古代音乐方程式的连续分数法

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摘要

The continued fraction is used to re-build the King Fang's musical scales 24/41 and 31/53 in 40 BC. The technology can be powerfully applied to nonlinear problems.

机译：后续部分用于重建公元前40年国王牙的音阶24/41和31/53。该技术可以有效地应用于非线性问题。

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《International journal of nonlinear sciences and numerical simulation》 |2009年第2期|共3页
作者
Jia-Cheng Lan; Zhen Yang;
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原文格式 PDF
正文语种 eng
中图分类数值分析;
关键词
Musical equations; Continued fraction; Musical scale; King Fang;

机译：音乐方程式;连续分数;音乐等级;方芳;

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专利

1. Continued Fraction Method for an Ancient Chinese Musical Equation [J] . Jia-Cheng Lan, Zhen Yang International journal of nonlinear sciences and numerical simulation . 2009,第2期

机译：中国古代音乐方程式的连续分数法
2. Solving spin quantum master equations with matrix continued-fraction methods: application to superparamagnets [J] . Garcia-Palacios JL, Zueco D Journal of Physics, A. Mathematical and General: A Europhysics Journal . 2006,第42期

机译：用矩阵连续分数法求解自旋量子主方程：在超顺磁性中的应用
3. Solving quantum master equations in phase space by continued-fraction methods [J] . Garcia-Palacios JL EPL . 2004,第6期

机译：用连续分数法求解相空间中的量子主方程
4. Ancient Chinese musical score translation via instance-based learning [C] . Ding Yelei, Li Rongfeng, Li Wenxin 2012 International Conference on Audio, Language and Image Processing. . 2012

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5. Applications of continued fractions in cryptography and Diophantine equations. [D] . Kaufer, Aaron H. 2009

机译：连续分数在密码和Diophantine方程中的应用。
6. A more accurate method acquirement by a comparison of the prediction equations for estimating glomerular filtration rate in Chinese patients with obstructive nephropathy [O] . Meixue Chen, Jumei Xia, Guangchang Pei, 2016

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7. New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation II. Solutions of the Continued Fraction Equation [O] . Fujita, Ryuichi, Tagoshi, Hideyuki 2009

机译：评估Teukolsky均匀解的新数值方法公式II。连续分数方程的解
8. A Method for Solving Polynomial Equations by Continued Fractions. [R] . bracha, amnon 1972

机译：用连续分数求解多项式方程的一种方法。

Continued Fraction Method for an Ancient Chinese Musical Equation

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