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词汇 Solid harmonics
分类 英语词汇 英语翻译词典
释义

Solid harmonics

英语百科

Solid harmonics

In physics and mathematics, the solid harmonics are solutions of the Laplace equation in spherical polar coordinates. There are two kinds: the regular solid harmonics R^m_\ell(\mathbf{r}), which vanish at the origin and the irregular solid harmonics I^m_{\ell}(\mathbf{r}), which are singular at the origin. Both sets of functions play an important role in potential theory, and are obtained by rescaling spherical harmonics appropriately:

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