Equation 16.17.15DEF49E73E180

\begin{equation} \begin{aligned} \chi (|s|^2)\bar s^ I& =\sum _ m\partial _{s_ m}\Bigl (\chi _1(|s|^2)\frac{I_ m}{|I|}\bar s^{I-1_ m}\Bigr ),\\ \chi (|s|^2)s^ I& =\sum _ m\partial _{\bar s_ m}\Bigl (\chi _1(|s|^2)\frac{I_ m}{|I|}s^{I-1_ m}\Bigr ). \end{aligned} \end{equation}