Indicator function: Difference between revisions

Revision as of 09:45, 4 April 2022

Revision as of 14:46, 5 April 2022

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The indicator function of a subset {{mvar|A}} of a set {{mvar|X}} is a function

<math display=block>\mathbf{1I}_A \colon X \to \{ 0, 1 \} </math>

defined as

<math display=block>\mathbf{1I}_A(x) :=

\begin{cases}

1 ~&\text{ if }~ x \in A~, \\

0 ~&\text{ if }~ x \notinnot in A~.

\end{cases}

</math>