What does the notation (0,v] mean? I am reading the paper Linear Work Suffix Array Construction by Juha Karkkainen, Peter Sanders, Stefan Burkhardt, and in a number of places they use the notation $$(0,v].$$ I assumed it was a mistake, but they use it a number of times. What does it mean?

$(0,v]$ is the set of numbers between $0$ and $v$, where $0$ is never reached. In other words : $(0,v] = \{ x | 0<x\le v\}$. It is also written $]0,v]$.
