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。
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:
![d_p(\mathbf{x}_1,\dots,\mathbf{x}_n) = \|(d_1(\mathbf{x}_1), \dots, d_n(\mathbf{x}_n))\|_p](/Images/godic/202502/04/8c3d1266386057bf0128e3bbf868bba72009.png")