How do you pronounce $\mathbb{R}^2, \dots, \mathbb{R}^n$

Question

I've been starting some vector calculus and I keep pronouncing it "R squared" in my head, which is clearly wrong. What is a better way to pronounce it, so that I can state things like $f: \mathbb{R} \rightarrow \mathbb{R}^2$ out loud?

R-2, R-3, ..., R-n (so read it as if there were no superscript there). — beep-boop, May 07 '14 at 12:53
Completely disjoint comment: You probably want $\to$ instead of $\mapsto$. — fuglede, May 07 '14 at 12:53
You can also call $\mathbb{R}^n$ "$n$-dimensional Euclidean space" if you want a phrase that sounds more noun-like. — Michael Joyce, May 07 '14 at 13:16
AFAIK full name of this set is “real n-coordinate space”.
@Michael Joyce: depends on whether Euclidean structure is employed. This (perennial) confusion between “coordinate” and “Euclidean” spaces sometimes results in ridiculous misconceptions and neologisms (BTW, this one created by one of math.SE’s regulars when he was young). When you assume E(n) or O(n) action, it is correct to think of the space as of Euclidean. When the symmetry is unlike it, or no symmetry at all, it is not. — Incnis Mrsi, Dec 12 '14 at 14:51

score 5 · Accepted Answer · answered May 07 '14 at 13:06

5

Actually, "$\mathbb{R}$-squared" is fine.

To see this, imagine you have a set $X$ with $n \in \mathbb{N}$ elements. How many elements does $X^2$ have? You guessed it, it has $n^2$ elements.

answered May 07 '14 at 13:06

goblin GONE

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How do you pronounce $\mathbb{R}^2, \dots, \mathbb{R}^n$

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