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Definitions of characteristic function:
  • noun:   (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.
  • noun:   (mathematics, probability theory) A complex function completely defining the probability distribution of a real-valued random variable

(Definitions from Wiktionary)

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