ACIT4330-Page/content/Definitions/Functions/Characteristic Function.md
2025-03-01 14:26:36 +01:00

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$\varkappa_{y} \in \Pi_{X} \, \{ 0, \, 1 \}$, so $\varkappa_{y} : X \to \{ 0, \, 1 \}$ defined as:
$$\varkappa_{y}(x) = \begin{cases}
1, & \text{if}\ x \in Y\\ 0, & \text{if}\ x \notin Y
\end{cases}$$