Characteristic function
In mathematics, the term "characteristic function" can refer to any of several distinct concepts:
* The indicator function of a subset, that is the functionwhich for a given subset A of X, has value 1 at points of A and 0 at points of X − A.
* There is an indicator function for affine varieties over a finite field: given a finite set of functions let be their vanishing locus. Then, the function acts as an indicator function for . If then , otherwise, for some , we have , which implies that , hence .
* The characteristic function in convex analysis, closely related to the indicator function of a set:
* In probability theory, the characteristic function of any probability distribution on the real line is given by the following formula, where X is any random variable with the distribu
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Characteristic function
In mathematics, the term "characteristic function" can refer to any of several distinct concepts:
* The indicator function of a subset, that is the functionwhich for a given subset A of X, has value 1 at points of A and 0 at points of X − A.
* There is an indicator function for affine varieties over a finite field: given a finite set of functions let be their vanishing locus. Then, the function acts as an indicator function for . If then , otherwise, for some , we have , which implies that , hence .
* The characteristic function in convex analysis, closely related to the indicator function of a set:
* In probability theory, the characteristic function of any probability distribution on the real line is given by the following formula, where X is any random variable with the distribu
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En mathématiques, le terme « f ...... ctuelle dans les statistiques.
@fr
In mathematics, the term "char ...... theory.
* The in statistics.
@en
在數學中，示性函数（特征函数，Characteristic ......
* 欧拉示性數、拓扑不变量。
* 示性函数 於 博弈论。
@zh
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En mathématiques, le terme « f ...... stique de toute distribution d
@fr
In mathematics, the term "char ...... dom variable with the distribu
@en
在數學中，示性函数（特征函数，Characteristic ......
* 欧拉示性數、拓扑不变量。
* 示性函数 於 博弈论。
@zh
label
Characteristic function
@en
Charakteristische Funktion
@de
Fonction caractéristique
@fr
Funció característica
@ca
Funkcja charakterystyczna
@pl
Funzione caratteristica
@it
Karakteriza funkcio
@eo
Характеристическая функция
@ru
示性函数
@zh
특성함수
@ko