Atom 是測度論中的一個概念。
In mathematics, more precisely in measure theory, an atom is a measurable set which has positive measure and contains no set of smaller positive measure. A measure which has no atoms is called non-atomic or atomless.
簡單來說,如果可測集是 atom艳悔,那么對于
鹊碍,
呵曹,就有
。如果一個測度不存在 atom衬衬,就說這個測度是 non-atomic或者atomless殖妇。
這個概念在概率論里面有一個很直觀的例子刁笙,就是當不可數(shù)時,如果存在
谦趣,這樣的概率空間采盒,顯然不太好,所以有時候會給概率空間加上 atomless 的條件蔚润!
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