Dynamic Traction Control (DTC) allows more wheel slip and thus a more dynamic driving style with higher wheel traction and DSC controlling stability. A small amount of spin on the drive wheels improves traction when pulling off from a standstill in snow or on loose terrain. read more
Officially, BMW state that DTC is for low traction situations, e.g. mud, gravel or ice. However, it's pretty clear that it's also designed to allow for a more sporting drive. Motoring journalists often describe it as emulating an electronic limited slip diff. read more