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单词 Product metric
释义

Product metric

中文百科

积度量

在数学里,积度量(product metric)是在两个以上度量空间之笛卡尔积内的度量。n 个度量空间之笛卡尔积的积度量,可视为是将 n 个子空间的范数作为 n 维矢量之各分量,取其 p-范数所得之值。

d_p(\mathbf{x}_1,\dots,\mathbf{x}_n) = \|(d_1(\mathbf{x}_1), \dots, d_n(\mathbf{x}_n))\|_p
英语百科

Product metric 积度量

In mathematics, the product metric is a definition of metric on the Cartesian product of two metric spaces in the category of metric spaces. Another family of choices of metric on the product space is the p product metric, described below, of the Cartesian product of n metric spaces is the p norm of the n-vector of the norms of the n subspaces:

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更新时间:2025/6/21 6:48:25