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indicator 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

EntityQ371983

Also known as characteristic function

Subclass of

Overview

All data

11 statements · 9% with external sources · numbers in brackets are citations

Defining formula
  • \mathbf{1}_A(x) := \begin{cases} 1 ~&\text{ if }~ x \in A~, \\ 0 ~&\text{ if }~ x \notin A~. \end{cases}
In defining formula

On other databases

6 identifiers linking indicator function across the web's reference databases