Alternative Equation Formats

$${\displaystyle \mathrm{\pi <!--\; \pi \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}(\mathrm{\lambda <!--\; \lambda \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>})=\{\begin{array}{ll}0& \text{if}\mathrm{\lambda <!--\; \lambda \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}\le <!--\; \le \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>0\\ \mathrm{\varphi <!--\; \varphi \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}& \text{if}0<\mathrm{\lambda <!--\; \lambda \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}<1\\ \mathrm{\varphi <!--\; \varphi \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}\exp <!--\; \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>[\frac{\mathrm{\varphi <!--\; \varphi \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}}{1-<!--\; -\; --><span\; class="Comment\_comment\_\_N0+Yl"></span>\mathrm{\varphi <!--\; \varphi \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}}(1-<!--\; -\; --><span\; class="Comment\_comment\_\_N0+Yl"></span>\mathrm{\lambda <!--\; \lambda \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>})]& \text{if}\mathrm{\lambda <!--\; \lambda \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}\ge <!--\; \ge \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>1\end{array}}$$

$${\displaystyle \mathrm{\pi <!--\; \pi \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}(\mathrm{\lambda <!--\; \lambda \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>})=\{\begin{array}{ll}0& \text{if}\mathrm{\lambda <!--\; \lambda \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}\le <!--\; \le \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>0\\ \mathrm{\varphi <!--\; \varphi \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}& \text{if}0<\mathrm{\lambda <!--\; \lambda \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}<1\\ \mathrm{\varphi <!--\; \varphi \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}\exp <!--\; \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>[\frac{\mathrm{\varphi <!--\; \varphi \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}}{1-<!--\; -\; --><span\; class="Comment\_comment\_\_N0+Yl"></span>\mathrm{\varphi <!--\; \varphi \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}}(1-<!--\; -\; --><span\; class="Comment\_comment\_\_N0+Yl"></span>\mathrm{\lambda <!--\; \lambda \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>})]& \text{if}\mathrm{\lambda <!--\; \lambda \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>}\ge <!--\; \ge \; --><span\; class="Comment\_comment\_\_N0+Yl"></span>1\end{array}}$$

\[ \pi (\lambda )= \left\{ \begin{array}{ll} 0 & \mbox{if}~ ~ \lambda \leq 0 \\ \phi & \mbox{if}~ ~ 0 < \lambda < 1 \\ \phi \exp [\frac{\phi }{1-\phi }(1-\lambda )] & \mbox{if}~ ~ \lambda \geq 1 \\ \end{array} \right. \]