Characteristic function: Difference between revisions

Revision as of 21:00, 3 June 2013

Revision as of 23:00, 3 June 2013

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In mathematics, '''characteristic function''' can refer to any of several distinct concepts:

* The most common and universal usage{{citation-needed|date=June 2013}} is as a synonym for [[indicator function]], that is the function

::<math>\mathbf{1}_A: X \to \{0, 1\}</math>

:which for a given subset ''A'' of ''X'', has value 1 at points of ''A'' and 0 at points of ''X''&nbsp;&minus;&nbsp;''A''.