Alternative Equation Formats

$${\displaystyle \begin{array}{lll}\text{Normal}& K_0(t)=\frac{1}{\sqrt{2\mathrm{\pi <!--\; \pi \; -->}}}\exp <!--\; \; -->(-<!--\; -\; -->\frac{1}{2}{t}^2)& \text{for }-<!--\; -\; -->\mathrm{\infty <!--\; \infty \; -->}<t<\mathrm{\infty <!--\; \infty \; -->}\\ \text{Quadratic}& K_0(t)=\frac{3}{4}(1-<!--\; -\; -->t^2)& \text{for }|t|\le <!--\; \le \; -->1\\ \text{Triangular}& K_0(t)=1-<!--\; -\; -->|t|& \text{for }|t|\le <!--\; \le \; -->1\end{array}}$$

$${\displaystyle \begin{array}{lll}\text{Normal}& K_0(t)=\frac{1}{\sqrt{2\mathrm{\pi <!--\; \pi \; -->}}}\exp <!--\; \; -->(-<!--\; -\; -->\frac{1}{2}{t}^2)& \text{for }-<!--\; -\; -->\mathrm{\infty <!--\; \infty \; -->}<t<\mathrm{\infty <!--\; \infty \; -->}\\ \text{Quadratic}& K_0(t)=\frac{3}{4}(1-<!--\; -\; -->t^2)& \text{for }|t|\le <!--\; \le \; -->1\\ \text{Triangular}& K_0(t)=1-<!--\; -\; -->|t|& \text{for }|t|\le <!--\; \le \; -->1\end{array}}$$

\[ \begin{array}{lll} \mbox{Normal} & K_0(t) = \frac{1}{\sqrt {2\pi }} \exp (-\frac{1}{2}t^{2}) & \mbox{for } -\infty < t < \infty \\ \mbox{Quadratic} & K_0(t) = \frac{3}{4}(1-t^2) & \mbox{for } |t| \leq 1 \\ \mbox{Triangular} & K_0(t) = 1-|t| & \mbox{for } |t| \leq 1 \end{array} \]