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My question is really simple, how can I write symbolically this phrase:

$x=\sum a_mx^m$ where $m$ range over $\{1,\ldots,g\}\setminus\{t_1,\ldots,t_u\}$

Being more specific, I would like to know how to write with mathematical symbols this part: "range over $\{1,\ldots,g\}\setminus\{t_1,\ldots,t_u\}$"

Thanks

user42912
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3 Answers3

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Often we see something like$$x=\sum_{m\in\{1,\ldots,g\}\setminus\{t_1,\ldots,t_u\}} a_mx^m$$

Ross Millikan
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  • I don't have space to write this expression below the sum symbol, do you have another suggestion? thanks – user42912 Jan 06 '15 at 05:07
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    You could define a set $A={{ 1,\ldots,g}\setminus{t_1,\ldots,t_u}}$, then $m \in A$ under the sum – Ross Millikan Jan 06 '15 at 05:09
  • The truth is the expression I would like to write is more complex, I still prefer not write symbols under the sum. Do you have some suggestion to write after the sum symbol? thanks again. – user42912 Jan 06 '15 at 05:17
  • I think I have seen the $m \in$ stuff on the line with the sum sign, out to the right after the expression to add. This has the advantage that your reader won't have to look back for the definition of $A$. If the expression you are summing is long, you may run out of space there as well. – Ross Millikan Jan 06 '15 at 05:21
  • Do you think this work: $x=\sum a_mx^m$,where $m\in {1,\ldots,g}\setminus{t_1,\ldots,t_u}$? – user42912 Jan 06 '15 at 05:34
  • I think that would be clear. – Ross Millikan Jan 06 '15 at 14:58
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I'd suggest $$\Large x=\sum_{\substack{m=1\\[0.1cm] m\,\notin\, \{t_1,\,\ldots\,,\,t_u\}}}^g a_mx^m$$

Kez
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You could put the limits of the sum behind the sum, making them ore inline instead of the big displaystyle format.

If you are using LaTeX I do wonder why there is no space left to use the slightly better looking alternative Kez gave. (if you are not using LaTeX, why not..?)

$\Large x=\sum_{{m=1\ldots g,\,\, m\,\notin\, \{t_1,\,\ldots\,,\,t_u\}}} a_mx^m$