
folks,
 
is there a clever way to compute the sum of the product of two vectors such that the common indices are not multiplied together?
 
i.e. if i have vectors X, Y, how can i compute 
 
Sum  (X[i] * Y[j])
i != j
 
where i != j
 
also, what if i wanted 
 
Sum (X[i] * Y[j] * R[i, j])
i != j
 
where R is a matrix?
 
thanks,
 
murali
 
 
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