isn't going fully down to your chest and bringing the bar back up considered a full rep? i see guys tryiny to show off by trying to do reps with much more than they can handle and never fully getting the actual rep in.
In bodybuilding, A "full rep" is when you go from the begining of the range of motion for a particular muscle to the end of the range of motion for that muscle.
It has nothing to do with the position of the bar.
However, in powerlifting the muscle has nothing to do with the rep. It is soley based on the position of the bar.
IMO, it is much harder to control a weight and stop at the bottom of the range of motion, pause and press. It is easier, for me at least, to go through the bottom and bring the bar to my chest, rest and press. I can do much more weight that way. I choose not to do it that way though cause it has a serious potential for injury. Trust me, I know. I've torn my pec before.