In mathematics, the tensor product V ⊗ W {\displaystyle V\otimes W} of two vector spaces V and W is a vector space to which is associated a bilinear map V × W ↦ V ⊗ W {\displaystyle V\times W\mapsto V\otimes W} that maps a pair, v ∈ V, w ∈ W {\displaystyle,\ v\in V,w\in W} to an element of V ⊗ W {\displaystyle V\otimes W} denoted v ⊗ w. Wikipedia