Don't know what's this symbol means

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I have encountered the symbols below. Can someone tell me what these mean ? $\chi_\emptyset$ $\chi_B$

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Since your tag is "statistics" and the following (guess) is widely used in statistics, it probably denotes the function :

$$\chi_A = \begin{cases}1 &x \in A \\ 0 & x \neq A \end{cases}$$

This is called the Indicator Function of set $A$.