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物理学报. 2006, 55(10): 4991-4994.
doi: 10.7498/aps.55.4991.
利用杨辉三角形对称性推导高阶运动微分方程
- 收稿日期: 2006-02-27
- 修回日期: 2006-03-23
- 刊出日期: 2006-05-05
English Abstract
Yang Hui Triangle symmetry and higher-order differential equations of motion
- Received Date:
27 February 2006
- Accepted Date:
23 March 2006
- Published Online:
05 May 2006
Abstract: In this paper, by using Mathematica software to disclose the relationship between partial derivative and high-order derivative of different variables in the function r=r(q(t),t), the symmetry of Yang Hui Triangle of the function r=r(q(t),t) is discovered. Combining the symmetry of Yang Hui triangle with the Newtonian second law, the high-order differential equations of motion are deduced. Finally the high-order differential equations of systems under ideal constraints are discussed.
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