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In mathematics, contour sets generalize and formalize the everyday notions of *everything superior to something *everything superior or equivalent to something *everything inferior to something *everything inferior or equivalent to something. == Formal definitions == Given a relation on pairs of elements of set : and an element of : The upper contour set of is the set of all that are related to : : The lower contour set of is the set of all such that is related to them: : The strict upper contour set of is the set of all that are related to without being ''in this way'' related to any of them: : The strict lower contour set of is the set of all such that is related to them without any of them being ''in this way'' related to : : The formal expressions of the last two may be simplified if we have defined : so that is related to but is ''not'' related to , in which case the strict upper contour set of is : and the strict lower contour set of is : 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「Contour set」の詳細全文を読む スポンサード リンク
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