Indicator function

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A function indicating membership in a set, say LaTeX: A. Such functions are usually denoted LaTeX: \chi_A or LaTeX: 1_A and are evaluated as

LaTeX:  \chi_A (x) = 1_A = \left\{ \begin{array}{cl} 1, & x \in A \\ 0, & x \not\in A. \end{array} \right.


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