@@ -195,12 +195,12 @@ $$
a. 当$\vert z^i\vert>\frac{\lambda}{L}$时,由上述推导可知$g(x_i)$的最小值在$x^i=z^i-\frac{\lambda}{L}$处取得,令
$$
- \begin{align}
+ \begin{aligned}
f(x^i)&=g(x^i)\vert_{x^i=0}-g(x^i)\vert_{x_i=z^i-\frac{\lambda}{L}}\\
&=\frac{L}{2}\left({z^i}\right)^2 - \left(\lambda z^i-\frac{\lambda^2}{2L}\right)\\
&=\frac{L}{2}\left(z^i-\frac{\lambda}{L}\right)^2\\
&>0
- \end{align}
+ \end{aligned}