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单词 Null vector
释义

Null vector

中文百科

零矢量

在线性代数及相关数学领域中,零矢量(也称退化矢量)即欧几里得空间里的中所有元素都为 0 的矢量 (0, 0, , 0)。零矢量通常记为\vec{0}0 或 0。

在一般的矢量空间中,零矢量是唯一确定的矢量。它是矢量加法的单比特。

证明:零矢量是唯一的:若 ab 为零矢量,则 a = a + b = b。
英语百科

Null vector 零向量

A null cone where n = 3

In mathematics, given a vector space X with an associated quadratic form q, written (X, q), a null vector or isotropic vector is an element x of X for which q(x) = 0.

In the theory of real bilinear forms, definite quadratic forms and isotropic quadratic forms are distinct. They are distinguished in that only for the latter there exists a nonzero null vector. Where such a vector exists, (X, q) is called a pseudo-Euclidean space.

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更新时间:2025/6/19 1:59:42