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Line 3: * The most common and universal usage is as a synonym for [[indicator function]], that is the function ::<math>\mathbf{1}_A: X \to \{0, 1\}</math> :which for every subset ''A'' of ''X'', has value 1 at points of ''A'' and 0 at points of ''X'' − ''A''.rm :When applied to a natural number an effective procedure determines correctly if a natural number is or is not in the procedure's "set": "The '''characteristic function''' is the function that takes the value 1 for numbers in the set, and the value 0 for numbers not in the set" (cf Boolos-Burgess-Jeffrey (2002) p. 73). The [[characteristic function (convex analysis)]] in convex analysis:

Characteristic function: Difference between revisions