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Frungi
 Post subject: Sets and LaTeX
PostPosted: Mon, 5 Oct 2009 02:10:10 UTC 
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Not exactly a math question, but I can’t seem to find the answer anywhere… how do you typeset set builder notation in \LaTeX with the right spacing and with plain text in it, e.g. {x | x is prime}?
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Matt
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PostPosted: Mon, 5 Oct 2009 04:06:03 UTC 
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Code:
\{x:\text{$x$ is prime}\}

\{x:\text{$x$ is prime}\}

Code:
\{x\mid\text{$x$ is prime}\}

\{x\mid\text{$x$ is prime}\}
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Frungi
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PostPosted: Mon, 5 Oct 2009 04:12:53 UTC 
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Matt wrote:
Code:
\{x\mid\text{$x$ is prime}\}

\{x\mid\text{$x$ is prime}\}

Perfect, thanks. What exactly is \mid though?
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outermeasure
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PostPosted: Mon, 5 Oct 2009 14:51:47 UTC 
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Frungi wrote:
Matt wrote:
Code:
\{x\mid\text{$x$ is prime}\}

\{x\mid\text{$x$ is prime}\}

Perfect, thanks. What exactly is \mid though?


\mid is the the vertical bar you get, with the spacing.

You might want a few \left, \right, and \vphantom's if you are doing it in displaystyle.

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\begin{aligned} Spin(1)&=O(1)=\mathbb{Z}/2&\quad&\text{and}\\ Spin(2)&=U(1)=SO(2)&&\text{are obvious}\\ Spin(3)&=Sp(1)=SU(2)&&\text{by }q\mapsto(\mathop{\mathrm{Im}}\mathbb{H}\ni p\mapsto qp\bar{q})\\ Spin(4)&=Sp(1)\times Sp(1)&&\text{by }(q_1,q_2)\mapsto(\mathbb{H}\ni p\mapsto q_1p\bar{q_2})\\ Spin(5)&=Sp(2)&&\text{by }\mathbb{HP}^1\cong S^4_{round}\hookrightarrow\mathbb{R}^5\\ Spin(6)&=SU(4)&&\text{by the irrep }\Lambda_+\mathbb{C}^4 \end{aligned}
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helmut
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PostPosted: Tue, 6 Oct 2009 04:32:25 UTC 
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Quote:
\{x\ |\ x \text{ is prime}\}
seems to work just as fine:

\{x\ |\ x \text{ is prime}\}

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The greater danger for most of us lies not in setting our aim too high and falling short; but in setting our aim too low, and achieving our mark. - Michelangelo Buonarroti
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