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单词 Symmetric form
释义

Symmetric form

中文百科

对称双线性形式 Symmetric bilinear form

(重定向自Symmetric form)

对称双线性形式是在矢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。

英语百科

Symmetric bilinear form 对称双线性形式

(重定向自Symmetric form)

A symmetric bilinear form on a vector space is a linear map from two copies of the vector space to the field of scalars such that the order of the two vectors does not affect the value of the map. In other words, it is a bilinear function B that maps every pair (u,v) of elements of the vector space V to the underlying field such that B(u,v)=B(v,u) for every u and v in V. They are also referred to more briefly as just symmetric forms when "bilinear" is understood.

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更新时间:2025/6/18 0:22:48