Shadow boxing can be done in front of a mirror and the practice of throwing your punches at an imaginary opponent. You incorporate you footwork, keeping your hand s up and practicing all the moves you'd make in an actual bout.
Literally, boxing or fighting with a "shadow". It's a simulation of actual fighting only without opponent.
It is part of your warm up. You are in your stance and throw punches and move without a bag or opponent, so you are boxing your shadow.
Boxing with your own shadow.
Punching air pretending its an opponent
Sparring with an imaginary opponent
racist!