A dual core processor basically has two separate processors built in to one single unit, almost all modern CPUs are at least dual core (some are quad core, which have 4 CPUs on on unit)
A dual processor would normally indicate that the system has two entirely seperate CPUs in it, but you won't find any laptops that are dual processor
and a duel processor would be CPUs with pistols at dawn so I think you may have the spelling wrong on that one.
The fastest processors available at the moment are the Intel I range, with I3 being the lower end of the range and I7 the top end.
have a read here
http://www.hardware-r...ned-in-plain-english/