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If not, an intermediate step might be to have a remote supercomputer do most of the thinking "in the cloud."
I think that's a likely approach. Also, I have the feeling that many of the first robots are going to work as multiples in unison. That could also address the battery issue too, they could take turns recharging. I'm trying to think what the first civilian applications might be. Probably a novelty restaurant where the wait staff are robots. :)