The meanings of different forms of letter R

Question

The latin letter R has many different forms, such as $R$, $\mathbb{R}$, $\mathcal{R}$, $\mathfrak{R}$, and $\mathscr{R}$.

To represent a vector $x$ of dimension $n$, I have seen $x \in R^n$, $x \in \mathbb{R}^n$, and $x \in \mathcal{R}^n$, even $x \in \mathfrak{R}^n$. Which one is most common?

Where can I find an explain of different meaning of those different forms?

Answer 1

Wikipedia says :

In mathematics, real coordinate space of n dimensions, written Rn (/ɑːrˈɛn/ ar-EN) (also written ℝn with blackboard bold) is a coordinate space that allows several (n) real variables to be treated as a single variable.

So, i guess, both R and ℝ are correct. However, I've seen this ℝ used at most of the places.