# 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.

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## Origin of characteristic function^{}

First recorded in 1875–80

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## 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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Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
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