英语词汇“Counting measure”是什么意思，翻译、用法及简单造句-英汉双解词典-环球健康网

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单词	Counting measure
释义	Counting measure 中文百科计数测度计数测度在数学上被定义为 $\mu \left ( E \right )=\left ( cardE \right )$ 。严格的说：计数测度是使得任一可测集的测度等于它含有的元素个数的那种测度。也就是说：对测度空间 $\left ( \Omega , F , \mu \right )$ ，若对任意 $E\in F$ ，都有： $\mu \left ( E \right )=\left\{\begin{matrix} card\left ( E \right ) &\left ( card\left ( E \right )< \aleph_{0} \right ) \\ +\infty &\left ( card\left ( E \right )\geq \aleph_{0} \right ) \end{matrix}\right.$ 则称 $\mu$ 为测度空间 $\left ( \Omega , F , \mu \right )$ 的计数测度。英语百科 Counting measure 计数测度 In mathematics, the counting measure is an intuitive way to put a measure on any set: the "size" of a subset is taken to be the number of elements in the subset, if the subset has finitely many elements, and ∞ if the subset is infinite. The counting measure can be defined on any measurable set, but is mostly used on countable sets.
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更新时间：2026/9/27 8:21:30