\begin{definition}[Definition:Order of Zero/Simple Zero]
Let $f: \C \to \C$ be a complex function.
Let $U \subset \C$ be such that $f$ is analytic in $U$.
Let $x \in U$ be a zero of $f$.
Let the order of the zero $x$ be $1$.
Then $x$ is a '''simple zero'''.
Category:Definitions/Complex Analysis
\end{definition}