That's exactly what I said. I just limited the domain. Consider for example a superintelligent AI, constrained by your laptop on your desk. It has no network connectivity, but it can teach itself at a billion times faster than any human. Lock it in a room and come back the next day. You observe that the battery died. Did the Singularity (by your definition) occur?
EDIT: doh It actually should have network connectivity to train itself, or maybe some offline source of data.