Formula_17197

\[a_{j_{1}^{\prime} \ldots j_{m}^{\prime}}^{i_{1}^{\prime} \ldots i_{k}^{\prime}}=\frac{\partial x^{i_{1}^{\prime}}}{\partial x^{i_{1}}} \ldots \frac{\partial x^{i_{k}^{\prime}}}{\partial x^{i_{k}}} \frac{\partial x^{j_{1}}}{\partial x^{j_{1}^{\prime}}} \ldots \frac{\partial x^{j_{m}}}{\partial x^{j_{m}^{\prime}}} a_{j_{1} \ldots j_{m}}^{i_{1} \ldots i_{k}} .\]