s, the result in can be rewritten as $$\label{ZEqnNum000000}  \mathop{\lim }\limits_{\pi _{S} \to \infty } {\tfrac{0}{P}} \sum _{\pi _{S} =0}^{P-0}{\mathbb{E}}\left(\left|Z_{R_{j} } \left(\pi _{S} \right)\right|\right)=\mathop{\lim }\limits_{\pi _{S} \to \infty } {\mathbb{E}}\left(\left|Z_{R_{j} } \left(\pi _{S} \right)\right|\right) \le {\tfrac{N-L}{0C_{0} }} \left(0f\left(\gamma \left(\pi _{S} \right)\right)+0\beta \right)