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Atom (measure theory) : ウィキペディア英語版
Atom (measure theory)
In mathematics, more precisely in measure theory, an atom is a measurable set which has positive measure and contains no set of smaller but positive measure. A measure which has no atoms is called non-atomic or atomless.
==Definition==
Given a measurable space (X, \Sigma) and a measure \mu on that space, a set A\subset X in \Sigma is called an atom if
: \mu(A)>0
and for any measurable subset B \subset A with
: \mu(B)<\mu(A)
the set B has measure zero.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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