Alternative Equation Formats

$${\displaystyle p(x)=\{\begin{array}{ll}hv\frac{k}{\mathrm{\lambda <!--\; \lambda \; -->}}{\left(\frac{x-<!--\; -\; -->\mathrm{\theta <!--\; \theta \; -->}}{\mathrm{\lambda <!--\; \lambda \; -->}}\right)}^{k-<!--\; -\; -->1}\exp <!--\; \; -->(-<!--\; -\; -->(\frac{x-<!--\; -\; -->\mathrm{\theta <!--\; \theta \; -->}}{\mathrm{\lambda <!--\; \lambda \; -->}}{)}^k)& \text{for }x\ge <!--\; \ge \; -->\mathrm{\theta <!--\; \theta \; -->}\\ 0& \text{for }x<\mathrm{\theta <!--\; \theta \; -->}\end{array}}$$

$${\displaystyle p(x)=\{\begin{array}{ll}hv\frac{k}{\mathrm{\lambda <!--\; \lambda \; -->}}{\left(\frac{x-<!--\; -\; -->\mathrm{\theta <!--\; \theta \; -->}}{\mathrm{\lambda <!--\; \lambda \; -->}}\right)}^{k-<!--\; -\; -->1}\exp <!--\; \; -->(-<!--\; -\; -->(\frac{x-<!--\; -\; -->\mathrm{\theta <!--\; \theta \; -->}}{\mathrm{\lambda <!--\; \lambda \; -->}}{)}^k)& \text{for }x\ge <!--\; \ge \; -->\mathrm{\theta <!--\; \theta \; -->}\\ 0& \text{for }x<\mathrm{\theta <!--\; \theta \; -->}\end{array}}$$

\[ p(x) = \left\{ \begin{array}{ll} hv \frac{k}{\lambda } \left(\frac{x-\theta }{\lambda }\right)^{k-1} \exp (-(\frac{x-\theta }{\lambda })^ k) & \mbox{for }x \geq \theta \\ 0 & \mbox{for }x <\theta \end{array} \right. \]