How to write Sigma(∑,σ) symbol in LaTeX?

In this content, we will discuss the Greek letter sigma. The Big Sigma symbol plays a major role in summation.

However, \Sigma command is not applicable for Big Sigma in terms of summation. There are usage errors for this which are discussed in detail below.

Use small sigma symbol in latex

In latex, there is a \sigma command for the sigma symbol. In different cases, subscripts and superscripts are used with this symbol as you know. Of course, the following output shows the different uses of the symbol.

\documentclass{article}
\begin{document}
  $$ \sigma =\frac{q}{a} $$
  $$ \sigma =E\varepsilon_{0} \quad E=\frac{\sigma}{\varepsilon_{0}} $$
  $$ \sigma ={\frac{\varepsilon \varepsilon_{0}\psi_{0}}{\lambda_{D}}} $$
  $$ \sigma =\sqrt{\frac{1}{N}\sum\limits_{i=1}^N (x_i - \mu)} $$
\end{document}

Output :

Use small sigma in latex.

\Sigma and \Sum command

The following code shows the use of \sum and \Sigma commands. If you look closely, you will see a huge difference in the use of both commands.

\documentclass{article}
\begin{document}
  $$ \verb|\Sigma|= \Sigma \quad \verb|\sum|= \sum $$
  $$ \Sigma S_n \quad \sum S_n $$
  $$ \Sigma_{i=1}^m \quad \sum_{i=1}^m $$
  $$ \Sigma \frac{1}{N} \quad \sum \frac{1}{N}$$
\end{document}

Output :

Big sigma using Sigma and sum command in latex.

When using sigma commands, never match mathematical expressions. In the case of inline mode, this symbol is used without limit. In that case, also the difference between the two commands can be noticed.

\documentclass{article}
\begin{document}
  $ \Sigma f(i) $ symbol in inline mode using $ \verb|\Sigma| $ command.\\ [6pt]
  $ \sum f(i) $ symbol in inline mode using $ \verb|\sum| $ command.
\end{document}

Output :

Use big sigma in inline mode.

Accurate limit position with sigma symbol

For the limit, you will need to use the subscript and superscript which you saw above. But, with this symbol, you will face different problems with the limit.

Different limit positions for summation.

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