or dyadic product, n. 1. any formal expression of the form where are the representations of v and w with respect to the respective bases of finite dimensional vector spaces, V and W, and, for the basis vectors, for distinguished symbols t_ij. The tensor product of two linear functionals is then computed by the formula The tensor product is similarly defined for modules. 2. the vector space of all such expressions, denoted V ⊗ W; the vector space of all bilinear functionals on the Cartesian product, V* × W*, of the duals of two given vector spaces, V and W. There is an isomorphism between the bilinear mappings from V × W into a third space U and the linear mappings from V ⊗ W into U.