"lie" po angielsku z przykładami - Słownik kolokacji angielskich
- Additional properties are consistent with that of the Lie bracket.
- The Lie bracket of these derivations is given as follows.
- The Lie bracket on this space is given by the commutator:
- One also has where is the usual Lie bracket, which follows from the Jacobi identity.
- If the basis is holonomic then the Lie brackets vanish, .
- This can be used to define the Lie bracket of vector fields as follows.
- Furthermore, there is a "product rule" for Lie brackets.
- The geometrical interpretation of the Lie bracket can be applied to the last of these equations.
- This failure of closure under Lie bracket is measured by the curvature.
- The Lie bracket of is given by the commutator of matrices.
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