正交曲线坐标系基向量的二阶偏导数

Journal of Yancheng Institute of Technology(2014)

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Abstract
研究了正交曲线坐标系基向量的二阶偏导数,运用基变换的单位正交性给出了当坐标函数三阶偏导数连续时拉梅系数满足的两个偏微分方程,由此证明了基向量的二阶混合偏导数与求导顺序无关,推导了基向量的二阶偏导数公式.
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Key words
orthogonal cuavilinear coordinate system,second order partial deaivatives,base vectors,second order
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