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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. (en)
- 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 . (fr)
- 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。 (zh)
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| rdfs:comment
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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. (en)
- 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 . (fr)
- 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。 (zh)
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- Characteristic function (convex analysis) (en)
- Fonction indicatrice (analyse convexe) (fr)
- 示性函数 (凸分析) (zh)
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