indicator function

Math Formula Information

Formula: ${\displaystyle \mathbf {1} _{A}(x):={\begin{cases}1~&{\text{ if }}~x\in A~,\\0~&{\text{ if }}~x\notin A~.\end{cases}}}$

Name: indicator function

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

Elements of the Formula

indicator function	${\displaystyle \mathbf {1} _{A}}$	function that returns 1 if an element is present in a specified subset and 0 if absent; naturally isomorphic with a set's subsets
subset	${\displaystyle A}$	set whose elements are all contained in another set

Data Source

https://www.wikidata.org/wiki/Special:EntityPage/Q371983