Remark On Notation and Terminology
- The notation may signify the identity function.
- The notation may signify the characteristic function in convex analysis.
A related concept in statistics is that of a dummy variable (this must not be confused with "dummy variables" as that term is usually used in mathematics, also called a bound variable).
The term "characteristic function" has an unrelated meaning in probability theory. For this reason, probabilists use the term indicator function for the function defined here almost exclusively, while mathematicians in other fields are more likely to use the term characteristic function to describe the function which indicates membership in a set.
Read more about this topic: Indicator Function
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