Notation for deleting elements from vectors.

Question

Let $x = (x_i)_{i=1}^n \in \mathbb{R}^{n}$ be a vector. I would like to know if there is a compact (and common) notation for the vector $[x_1,\ldots, x_{l-1},x_{l+1},\ldots,x_n]\in \mathbb{R}^{n-1}$, that is $x$ without the element in the $l$-th position ?

Answer 1

Let $I := \{1,\ldots,n\}$ for some $n \in \mathbb{N}$. Then you could use $$x = (x_i)_{i \in I \setminus \{j\}} \in \mathbb{R}^{n-1}$$ for $j \in I$.

Answer 2

I can't remember where but I have seen a notation where you write the vector $(x_1,...\hat{x_i},...,x_n)$ where the hat means to omit $x_i.$