make use of these vectors but ultimately you care about these vectors right here and the vectors here are simply the classification layers weights so here you can see that there is what you're trying to maximize is the inner product between the word that you're considering and the words around that word and you're trying to do a classification task so you need to normalize now this is the normalization constant and it goes over all of your vocabulary so that's what they tackle here they say W is the number of words