Number of wild segments of a family (reviewed)

Let $I/K$ be a family of extensions and let $L/K\in I/K$. The number of wild segments of $I/K$ is the number of segments of the ramification polygon of $L/K$ with positive slope. This is equal to the number of distinct positive Swan slopes of $L/K$, and does not depend on the choice of $L/K\in I/K$.