How do memristors work and could they advance AI?

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Tachyonie
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Recently I heard someone mentioning a new invention, a kind of resistor with memory which was the missing link in artificial intelligence. A kind of analog computer if you will. The resistor somehow remembers in what state it has been in.
I was very interested in what he said but I didn't manage to find more information so I thought Ill ask you.
Is this plausible? Could you perhaps explain to me how does it work and what uses could it have? Or atleast point me to some decent source because as I failed to find any.

Cheers.
 
http://rss.sciam.com/~r/sciam/physics/~3/281535040/article.cfm
 
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Thats really cool actually, I would say they will be fairly costly though.