I run into a function: $1_{[-n, n]^r}$. I guess this function equals 1 whenever x falls into $[-n, n]^r$. Am I right?
I met this function in an analysis paper which deals with measure and density of $L^p$ space.
I run into a function: $1_{[-n, n]^r}$. I guess this function equals 1 whenever x falls into $[-n, n]^r$. Am I right?
I met this function in an analysis paper which deals with measure and density of $L^p$ space.
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Yes, you're correct: It likely refers to an indicator function, also called a characteristic function. Other common notation is $\chi_A$, referring to the function that is $1$ for all $x \in A$, and $0$ for all $x \notin A$.