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characteristic function

American  

noun

Mathematics.
  1. 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.

  2. characteristic polynomial.


characteristic function British  

noun

  1. maths a function that assigns the value 1 to the members of a given set and the value 0 to its nonmembers

  2. statistics a function derived from the probability distribution function that enables the distribution of the sum of given random variables to be analysed

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Etymology

Origin of characteristic function

First recorded in 1875–80