Sum-class symbols are symbols whose sub- and superscripts appear directly below and above the symbol rather than beside it. For example, the following example illustrates that \sum
is one of these elite symbols whereas \Sigma
is not. The terminology from amsmath documentation.
\sum_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}{6}
\Sigma_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}{6}
TeX is smart enough to only show \sum
in its expanded form in the displaymath environment. In the regular math environment, \sum
does the right thing and revert to non-sum-class behavior, thus conserving vertical space.
Another common sum-class symbol is \prod
.
\prod_{i=1}^n x = x^n