# characteristic function

- a function defined on a given set, having value 1 for every element of the set and value 0 for every element not contained in the set.
- characteristic polynomial.

## Origin of characteristic function^{}

First recorded in 1875–80

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# characteristic function

- maths a function that assigns the value 1 to the members of a given set and the value 0 to its nonmembers
- statistics a function derived from the probability distribution function that enables the distribution of the sum of given random variables to be analysed

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