deletions | additions       diff --git a/subsubsection_Position_based_metric_When__.tex b/subsubsection_Position_based_metric_When__.tex  index cf0d9d6..96b77ff 100644  --- a/subsubsection_Position_based_metric_When__.tex  +++ b/subsubsection_Position_based_metric_When__.tex 
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\subsubsection{Position-based metric}  When $C_{penalty}$ is low $(C_{penalty}\leq 1.3)$ almost 75\% of the clusters contain one single player and the other contain 2 or 3 players. On the contrary, when $C_{penalty}$ is high $(C_{penalty}\geq 1.5)$ all the players tend to be gather in a single cluster. While increasing $C_{penalty}$ from 1.3 to 1.5 the players first form largely 2-player clusters. We can find several interpretations of those 2-player clusters. clusters:  \begin{itemize}  \item One player marking a player Two players belonging to different team with one  of them marking  the opposite team. other one.  \item Two players of the same team following each other.  \item A goal and a player of the opposite team close to him just before a shot.  \end{itemize}  Goal keepers appear almost always isolated in two different clusters excepting during an action embedding or close to a shot. They are the last players to join the last cluster when $C_{penalty}$ is increased.