Neutrino heating in the gain region as a function of postbounce time. We define the neutrino heating to be the change in the internal energy of the matter due to the interaction with neutrinos.  We only include contributions to the heating where there is a net transfer of energy to the matter from the neutrinos.  In some simulations we place further cuts on the data to isolate the gain region, including rho<3*1010 g cm-3 and s > 6 k_B/baryon. Some curves have been smoothed with neighboring zones to remove noise and improve clarity.