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indicator function

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Also known as characteristic function

function that returns 1 if an element is present in a specified subset and 0 if absent; naturally isomorphic with a set's subsets

~14 min read

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A three-dimensional plot of an indicator function, shown over a square two-dimensional domain (set X): the "raised" portion overlays those two-dimensional points which are members of the "indicated" subset (A). In mathematics, an indicator function or a characteristic function of a subset of a set is a function that maps elements of the subset to one, and all other elements to zero. That is, if A is a subset of some set X, then the indicator function of A is the function

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