This is an experiment to see how the WordPress \(\LaTeX\) plugin works. What better equation to try out than the Euler-Lotka equation:
\[ 1 = \int_{\alpha}^{\beta} e^{-ra} l(a)m(a) da\]
where \(\alpha\) is age at first reproduction, \(\beta\) is age at last reproduction, \(r\) is the intrinsic rate of population increase, \(l(a)\) is the proportion surviving to exact age \(a\), and \(m(a)\) is the fertility rate of women age \(a.\)