Alternative Equation Formats

$${\displaystyle F(x)=\{\begin{array}{ll}0& \text{for }x\le <!--\; \le \; -->\mathrm{\theta <!--\; \theta \; -->}\\ {\left(\frac{x-<!--\; -\; -->\mathrm{\theta <!--\; \theta \; -->}}{\mathrm{\sigma <!--\; \sigma \; -->}}\right)}^{\mathrm{\alpha <!--\; \alpha \; -->}}& \text{for }\mathrm{\theta <!--\; \theta \; -->}<x<\mathrm{\theta <!--\; \theta \; -->}+\mathrm{\sigma <!--\; \sigma \; -->}\\ 1& \text{for }x\ge <!--\; \ge \; -->\mathrm{\theta <!--\; \theta \; -->}+\mathrm{\sigma <!--\; \sigma \; -->}\end{array}}$$

$${\displaystyle F(x)=\{\begin{array}{ll}0& \text{for }x\le <!--\; \le \; -->\mathrm{\theta <!--\; \theta \; -->}\\ {\left(\frac{x-<!--\; -\; -->\mathrm{\theta <!--\; \theta \; -->}}{\mathrm{\sigma <!--\; \sigma \; -->}}\right)}^{\mathrm{\alpha <!--\; \alpha \; -->}}& \text{for }\mathrm{\theta <!--\; \theta \; -->}<x<\mathrm{\theta <!--\; \theta \; -->}+\mathrm{\sigma <!--\; \sigma \; -->}\\ 1& \text{for }x\ge <!--\; \ge \; -->\mathrm{\theta <!--\; \theta \; -->}+\mathrm{\sigma <!--\; \sigma \; -->}\end{array}}$$

\[ F(x) = \left\{ \begin{array}{ll} 0 & \mbox{for }x \leq \theta \\ {\left( \frac{x - \theta }{\sigma } \right)}^{\alpha } & \mbox{for }\theta < x < \theta + \sigma \\ 1 & \mbox{for }x \geq \theta + \sigma \end{array} \right. \]