Some math

$\begin{aligned} f(t) &= \int_{-\infty}^\infty F(\omega) \cdot (-1)^{2 \omega t} \mathrm{d}\omega \\ F(\omega) &= \int_{-\infty}^\infty f(t) \div (-1)^{2 \omega t} \mathrm{d}t \\ \end{aligned}$

This: $(-1)^x = \cos(\pi x) + i\sin(\pi x)$ is an inline equation instead!