core hit does include 3 dms 'cause it includes decap + pecs DMs (and chest too, if you want).
also in my opinion a boom is a single hit that does 3 or more DMs, uke assistance is modifying uke's position, I mean change the status of its joints, to let you DM him more easly. this thing should not be confused with sparring with uke or using uke for headpassings.
and about madmans...I think they are fast replays in which you DM uke more than 5 times, or not that fast replays but still stylish.