Medial and paramedial general identities for strong dependance operations

We consider general functional medial and paramedial equations with four object variables. We give analogous of khown results with quasigroup operations for a class of strong dependable operations. As a consequence of these results, an analogous linear representation for every operation of a binary algebra satisfying one of these hyperidentities is obtained. Nevertheless, co-medial and co-paramedial algebras may have nonlinear binary operations.