Formula_3674

\[\begin{gathered}{[f, g]=f \partial g / \partial z-\partial f / \partial z g-} \\-\sum x_{i}\left(\partial f / \partial x_{i} \partial g / \partial z-\partial f / \partial z \partial g / \partial x_{i}\right)- \\-\sum \partial f / \partial x_{i} \partial g / \partial y_{i}+\sum \partial f / \partial y_{i} \partial g / \partial x_{i} .\end{gathered}\]