With no explanation, label text_A→text_B with either "not_related" or "related".
text_A: Daft Punk's debut album was Homework.
text_B: A two-vector is a tensor of type -LRB- 2,0 -RRB- and it is the dual of a two-form , meaning that it is a linear functional which maps two-forms to the real numbers -LRB- or more generally , to scalars -RRB- .. tensor. tensor. dual. dual space. two-form. two-form. vector. Vector ( geometric ). maps. Map ( mathematics ). The tensor product of a pair of vectors is a two-vector .. tensor. tensor. tensor product. tensor product. vector. Vector ( geometric ). Then , any two-form can be expressed as a linear combination of tensor products of pairs of vectors , especially a linear combination of tensor products of pairs of basis vectors .. tensor. tensor. two-form. two-form. If f is a two-vector , then. vector. Vector ( geometric ). where the f α β are the components of the two-vector .. vector. Vector ( geometric ). Notice that both indices of the components are contravariant .. contravariant. Covariance and contravariance of vectors. This is always the case for two-vectors , by definition .. An example of a two-vector is the inverse gμ ν of the metric tensor .. tensor. tensor. vector. Vector ( geometric ). metric tensor. metric tensor. The components of a two-vector may be represented in a matrix-like array .. vector. Vector ( geometric ). matrix. Matrix ( mathematics ). However , a two-vector , as a tensor , should not be confused with a matrix , since a matrix is a linear function. tensor. tensor. vector. Vector ( geometric ). matrix. Matrix ( mathematics ). which maps vectors to vectors , whereas a two-vector is a linear functional. vector. Vector ( geometric ). maps. Map ( mathematics ). which maps one-forms to vectors .. maps. Map ( mathematics ). In this sense , a matrix , considered as a tensor , is a mixed tensor of type -LRB- 1,1 -RRB- even though of the same rank as a two-vector .. tensor. tensor. vector. Vector ( geometric ). matrix. Matrix ( mathematics ). mixed tensor. mixed tensor. Category  : Tensors
not_related.