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单词 multilinear
释义

multilinear

Let V1,V2,⋯,Vk,W be vector spaces over the same field. Generalizing the notion of bilinear, a multilinear map f:V1×V2×⋯×Vk → W is a function f(v1,…,vk) which is linear (see linear map) in each variable vi. As an example, the determinant is multilinear in its rows (and likewise in its columns).

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更新时间:2025/4/30 19:06:04