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In mathematics, the relative interior of a set is a refinement of the concept of the interior, which is often more useful when dealing with low-dimensional sets placed in higher-dimensional spaces. Intuitively, the relative interior of a set contains all points which are not on the "edge" of the set, relative to the smallest subspace in which this set lies. Formally, the relative interior of a set ''S'' (denoted ) is defined as its interior within the affine hull of ''S''. In other words, : where is the affine hull of ''S'', and is a ball of radius centered on . Any metric can be used for the construction of the ball; all metrics define the same set as the relative interior. For any nonempty convex sets the relative interior can be defined as : == See also == * Interior (topology) * Algebraic interior * Quasi-relative interior 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「Relative interior」の詳細全文を読む スポンサード リンク
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