That's another thing that is worth investigating. Of course at present every webpage loads its own miner, and that can be a problem if you have more than one page open. But... is it possible for an applet to detect the presence of other applets running?
Well, it turns out it is possible after all.
I have updated the jar file; now if you open a second tab the second applet should refuse to start mining.
I have not had the time to test it extensively; as always, if you encounter any issue please let me know.