With no explanation, label text_A→text_B with either "not_related" or "related".
text_A: Legion also goes by another name.
text_B: In mathematics , in abstract algebra , a multivariate polynomial over a field whose Laplacian is zero is termed a harmonic polynomial .. mathematics. mathematics. abstract algebra. abstract algebra. polynomial. polynomial. Laplacian. Laplacian. The harmonic polynomials form a vector subspace of the vector space of polynomials over the field .. vector subspace. vector space. In fact , they form a graded subspace .. graded subspace. graded algebra. The Laplacian is the sum of second partials with respect to all the variables , and is an invariant differential operator under the action of the orthogonal group viz the group of rotations .. Laplacian. Laplacian. invariant. invariant ( mathematics ). differential operator. differential operator. orthogonal group. orthogonal group. group. Group ( mathematics ). The standard separation of variables theorem states that every multivariate polynomial over a field can be decomposed as a finite sum of products of a radical polynomial and a harmonic polynomial .. polynomial. polynomial. separation of variables theorem. separation of variables theorem. radical polynomial. radical polynomial. This is equivalent to the statement that the polynomial ring is a free module over the ring of radical polynomials .. polynomial. polynomial. free module. free module
not_related.