lie bracketsの例文

例文

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1. The Lie brackets are given by exactly the same formula as before.
2. Coordinate basis vectors have the special property that their Lie brackets pairwise vanish.
3. The Lie bracket is given by the commutator.
4. This can be used to define the Lie bracket of vector fields as follows.
5. Hence the Jacobi Lie bracket corresponds to the usual commutator for a matrix group: