What is the difference in usage between maximum and maximal? When would you use one or the other?
Maximum can be a noun or an adjective:
This is the maximum it can be set to.
This is the maximum value.
whereas "maximal" is always an adjective:
This is the maximal value.
Is this correct? Is there more to it than that? When would you use one or the other as an adjective, or are they completely interchangeable?