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| has gloss | eng: In the mathematical field of differential topology, the Lie bracket of vector fields, Jacobi–Lie bracket, or Commutator of vector fields is a bilinear differential operator which assigns, to any two vector fields X and Y on a smooth manifold M, a third vector field denoted [X, Y]. It is closely related to, and sometimes also known as, the Lie derivative. In particular, the bracket [X,Y] equals the Lie derivative \mathcalL}_X Y. |
| lexicalization | eng: Lie bracket of vector fields |
| instance of | (noun) an operation that follows the rules of Boolean algebra; each operand and the result take one of two values binary arithmetic operation, boolean operation, binary operation |
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| Castilian | |
| lexicalization | spa: corchete de Lie |
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