I wish to write a piecewise function with several cases, where it has a certain definition for one set of specified $x$ values, another definition for another set of $x$ values, etc, then one final definition for all remaining values of $x$. It loosely looks like this:
$y = \begin{cases} f(x) & \quad \text{if}\ x = n_1, n_2, n_3, ... \\ g(x) & \quad \text{if}\ x = m_1, m_2, m_3, ... \\ h(x) & \quad \text{for all other values of}\ x \end{cases}$
My question is: is there a better way to write "for all other values of $x$" in this context?