We are now able to disambiguate the sense of a target word w t given a context C by calculating a context vector − → c for C as above, and then comparing this with every 2nd-order vector of w t ; the word is assigned to the sense that corresponds to the closest 2nd-order vector.
− − → s pref = arg min where S is the set of 2nd-order vectors for w t and d( − → u , − → v ) the vector distance metric we use.