This is actually what is called a "digital" signal in the electrical engineering circles. Digital, because it's either on or off. When the amp sees a 12 volt signal, it trips an internal relay, which fires up the amp. When the 12 volt signal is removed, the relay goes back to it's normally open condition and shuts off the amp.
The 3 wire mini-jack from your Mac may have 2 circuits in it,,,,I just don't know. But as Phil suggested, the tip should be hot (+12 volts) and the outer sleeve common. If you are unsure, take a volt ohm meter and set it to the 20 volt range and have the Mac send the 12 volt on signal and see if it's there. If for some odd reason Mac decided to put the common on the tip (?) your VOM (if digital readout) will have a minus (-) sign in front of it. I think the tip, however, will be +12 volts. Then, when everything is understood, you should be able to power your Bryston amp with the Mac.
Good luck
Wayner