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Is there a standard notation for the set of unit vectors $\{\vec v\ :\ |\vec v|=1\}$?

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    $\begingroup$ Is this relative to a specific vector space, or any vector space with an appropriate norm? $\endgroup$ – Brian Tung Jun 29 '16 at 22:18
  • $\begingroup$ Right now I'm writing up something on $\Bbb R^n$, but if there's a notation for other spaces, that'd be good to know as well. $\endgroup$ – user351090 Jun 29 '16 at 22:21
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In $\mathbb R^n$, it is common to use $S^{n-1}$ to denote $\{v \in \mathbb R^n : ||v|| = 1\}$.

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    $\begingroup$ typesetting comment, \|v\| makes the lines closer together. compare $\|v\|$ and $||v||$ $\endgroup$ – JMoravitz Jun 29 '16 at 22:20

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