e/Symmetric bilinear form

Information
has gloss	eng: A symmetric bilinear form is a bilinear form on a vector space that is symmetric. Symmetric bilinear forms are of great importance in the study of orthogonal polarity and quadrics.
lexicalization	eng: symmetric bilinear form
instance of	c/Bilinear forms

Meaning
French
has gloss	fra: Une forme bilinéaire symétrique est le nom donné à une forme bilinéaire sur un espace vectoriel qui est symétrique. Les formes bilinéaires symétriques jouent un rôle important dans l'étude des quadriques.
lexicalization	fra: Forme bilineaire symetrique
lexicalization	fra: forme bilinéaire symétrique
Portuguese
has gloss	por: Uma forma bilinear simétrica em um espaço vetorial V sobre um corpo K é uma função B: V \times V \to K\, satisfazendo: * B é uma forma bilinear, ou seja B(u + u,v) = B(u,v) + B(u,v)\, B(u,v + v) = B(u,v) + B(u,v)\, ** B(\lambda u,v) = B(u, \lambda v) = \lambda\,B(u,v)\, * B é simétrica, ou seja ** B(u, v) = B(v, u)\,
lexicalization	por: forma bilinear simétrica
Chinese
has gloss	zho: 对称双线性形式是在向量空间上的对称双线性形式。它们在正交极性和二次曲面的研究中非常重要。
lexicalization	zho: 对称双线性形式