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vectorizing an iterative process.

Geoffrey> I meant  x[i] <- x[i-1] + y[i-1] and Y[i] <- y[i-1] + x[i] below.
    Geoffrey> The mailing list software just keep adding 3D's. Sorry. 

It's not the mailing list software - not per se at least.
Rather it's your own e-mail software's behavior (maybe in
conjunction with our (i.e. r-help's) mail server software configuration)
If I write
   x[i] = x[i-i]
then I'm pretty sure you won't get an extra "3D" when you'll
read it.

Regards
Martin Maechler
ETH Zurich (where the R-help list is running from)