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词汇 Nondegeneracy
分类 英语词汇 英语翻译词典
释义

Nondegeneracy

英语百科

Degenerate bilinear form

(重定向自Nondegeneracy)

In mathematics, specifically linear algebra, a degenerate bilinear form f(x, y) on a vector space V is a bilinear form such that the map from V to V (the dual space of V) given by v ↦ (xf(x, v)) is not an isomorphism. An equivalent definition when V is finite-dimensional is that it has a non-trivial kernel: there exist some non-zero x in V such that

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