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Statements

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dbr:Characteristic_function_(convex_analysis)
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示性函数 (凸分析) Fonction indicatrice (analyse convexe) Characteristic function (convex analysis)
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In the field of mathematics known as convex analysis, the characteristic function of a set is a convex function that indicates the membership (or non-membership) of a given element in that set. It is similar to the usual indicator function, and one can freely convert between the two, but the characteristic function as defined below is better-suited to the methods of convex analysis. 在数学领域的中,集合的“示性函数”为凸函数,用于表示给定元素是否为该集合的成员(或非成员)。尽管与常规示性函数定义相似,两者也可以相互转换,但根据如下定义的示性函数更适应于凸分析的方法。 En mathématiques, et plus précisément en analyse convexe, la fonction indicatrice d'une partie d'un ensemble est la fonction qui s'annule sur et prend la valeur sur le complémentaire de dans .
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En mathématiques, et plus précisément en analyse convexe, la fonction indicatrice d'une partie d'un ensemble est la fonction qui s'annule sur et prend la valeur sur le complémentaire de dans . In the field of mathematics known as convex analysis, the characteristic function of a set is a convex function that indicates the membership (or non-membership) of a given element in that set. It is similar to the usual indicator function, and one can freely convert between the two, but the characteristic function as defined below is better-suited to the methods of convex analysis. 在数学领域的中,集合的“示性函数”为凸函数,用于表示给定元素是否为该集合的成员(或非成员)。尽管与常规示性函数定义相似,两者也可以相互转换,但根据如下定义的示性函数更适应于凸分析的方法。
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dbr:Proper_convex_function
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