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indicator function

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Math Formula Information

Formula: 1 A ( x ) := { 1    if    x ∈ A   , 0    if    x ∉ A   . {\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 1 A {\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 A {\displaystyle A} set whose elements are all contained in another set

Data Source

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

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