# Characteristic function

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In [mathematics](/source/Mathematics), the term "**characteristic function**" may refer to:

- The [indicator function](/source/Indicator_function) of a [subset](/source/Subset)

- [Characteristic function (probability theory)](/source/Characteristic_function_(probability_theory))

- The characteristic function of a [cooperative game](/source/Cooperative_game_theory) in [game theory](/source/Game_theory).

- The [characteristic polynomial](/source/Characteristic_polynomial) in [linear algebra](/source/Linear_algebra).

- The [characteristic state function](/source/Characteristic_state_function) in [statistical mechanics](/source/Statistical_mechanics).

- The [receiver operating characteristic](/source/Receiver_operating_characteristic) in statistical [decision theory](/source/Decision_theory).

## See also

- [Characteristic (disambiguation)](/source/Characteristic_(disambiguation))

Index of articles associated with the same name

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Adapted from the Wikipedia article [Characteristic function](https://en.wikipedia.org/wiki/Characteristic_function) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Characteristic_function?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.