The author's construction for a piecewise definition will work, but the preferred LaTeX construct is `\begin{cases} … \end{cases}`. (Actually, I think it's from AMSLaTeX.) I believe it always left aligns columns, and doesn't obey multiple `&`s, so it doesn't exactly reproduce the author's construction—but, from my point of view, that means that the specifics of the author's construction are not standard practice, at least within the domain of the AMS. Otherwise it would be formatted as<p><pre><code> \[
f(x) = \begin{cases}
-1, & x < 0 \\
0, & x = 0 \\
1, & x > 0.
\end{cases}
\]</code></pre>