指示函数 Indicator function
（重定向自Characteristic function of a set）
在集合论中，指示函数是定义在某集合X上的函数，表示其中有哪些元素属于某一子集A。
指示函数有时候也称为特征函数。现在已经少用这一称呼。概率论有另一意思迥异的特征函数。
集X的子集A的指示函数是函数
，定义为
若 
若 
A的指示函数也记作
或
。
Characteristic function of a set
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英语百科
Indicator function 指示函数
（重定向自Characteristic function of a set）
In mathematics, an indicator function or a characteristic function is a function defined on a set X that indicates membership of an element in a subset A of X, having the value 1 for all elements of A and the value 0 for all elements of X not in A. It is usually denoted by a symbol 1 or I, sometimes in boldface or blackboard boldface, with a subscript describing the set.
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