- もっと例文: 1 2 3 4 5 6 7 8 9 10
- The Lie brackets are given by exactly the same formula as before.
- Coordinate basis vectors have the special property that their Lie brackets pairwise vanish.
- The Lie bracket is given by the commutator.
- This can be used to define the Lie bracket of vector fields as follows.
- Hence the Jacobi Lie bracket corresponds to the usual commutator for a matrix group: