Hence, when we observe a relation R(w 0 , w), the projected representation of word w in this context is computed by prpj (R,w 0 ) (w) defined as follows:  In order to model co-compositionality, we apply prototype projection to both the verb and the object.
suppose verb is w v and object is w o , C (VerbOf,wo) is used to project w v and C (ObjOf,wv) is used to project w o .