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I am curious by this following symbol which I see on the Math.SE alot which is the following:

$$\mathbb{R}^2 \ \mathrm{or} \ \mathbb{R}^3$$

This this a convention to write 2-space or all reals 2-space, and respectively all reals 3-space? I am currently in calculus, was wondering what the convention represents.

Jose M Serra
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1 Answers1

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For the record, here's a precise definition: $$\Bbb R^n = \{ (x_1,\ldots, x_n) \mid x_i \in \Bbb R \mbox{ for all }i=1,\ldots,n \}.$$For $n=2$ and $n=3$ you have $$\Bbb R^2 = \{(x,y) \mid x,y \in \Bbb R\} \quad\mbox{and}\quad \Bbb R^3 = \{(x,y,z) \mid x,y,z \in \Bbb R\}.$$

Ivo Terek
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