\begin{definition}[Definition:Exponential Order]
Let $f: \R \to \F$ be a function, where $\F \in \set {\R, \C}$.
Let $f$ be continuous on the real interval $\hointr 0 \to$, except possibly for some finite number of discontinuities of the first kind in every finite subinterval of $\hointr 0 \to$.
{{explain|Establish whether it is "finite subinterval" that is needed here, or what we have already defined as "Definition:Finite Subdivision".}}
Then $f$ is said to be of '''exponential order''', denoted $f \in \EE$, {{iff}} it is of exponential order $a$ for some $a > 0$.
\end{definition}