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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 and a measure on that space, a set in is called an atom if : and for any measurable subset with : the set 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)』 ■ウィキペディアで「Atom (measure theory)」の詳細全文を読む
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