characteristic function

characteristic function (plural characteristic functions)

1. (mathematical analysis) A function which is equal to 1 for all points in its domain which belong to a given set, and is equal to 0 for all points in the domain which do not belong to that given set.
2. (mathematics, probability theory) A complex function completely defining the probability distribution of a real-valued random variable

• The characteristic function of a set A is often represented as χ_A.

• (function equal to 1 on elements of a given set): indicator function

• function

• point characteristic function

• subset classifier