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Minkowski functional : ウィキペディア英語版 | Minkowski functional In mathematics, in the field of functional analysis, a Minkowski functional is a function that recovers a notion of distance on a linear space. Let ''K'' be a symmetric (i.e. if it contains ''x'' it also contains -''x'') convex body in a linear space ''V''. We define a function ''p'' on ''V'' as : This is the Minkowski functional of ''K''.〔Thompson (1996) p.17〕 Usually it is assumed that ''K'' is such that the set of is never empty, but sometimes the set is allowed to be empty and then ''p(x)'' is defined as infinity. == Motivation ==
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「Minkowski functional」の詳細全文を読む
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