I want to make a section for symbols and special notation, which should look like this:

What would you suggest in doing this? Should I just do like a table and create an array of 3 columns?
You could use the glossaries package; a little example:
\documentclass{article}
\usepackage{glossaries}
\newglossary{symbols}{sym}{sbl}{List of Abbreviations and Symbols}
\makeglossary
\newglossaryentry{fn}{type=symbols,name={\ensuremath{F_n}},sort=fn,
description={Empirical (sample) distribution function}}
\newglossaryentry{fncon}{type=symbols,name={\ensuremath{F^{n^\ast}}},sort=fnc,
description={$n$-fold convolution of the distribution function/distribution $F$}}
\begin{document}
\gls{fn}
\gls{fncon}
\printglossaries
\end{document}

The document must be processed using, for example, (pdf)latex + makeglossaries + (pdf)latex. Refer to the package documentation to see all the possibilities it offers.
Is it a nomenclature? Then you can use nomentbl package for this.
A MWE
\documentclass{article}
\usepackage[intoc]{nomentbl}
\makenomenclature
\renewcommand{\nomname}{List of Abbreviations and Symbols}
\renewcommand{\nompreamble}{Following symbols are used in the present work:}
\setlength{\nomitemsep}{-\parsep}
\usepackage[colorlinks=true]{hyperref}
\begin{document}
\printnomenclature
\clearpage
\phantomsection
This is $F$\label{nomen:F} \nomenclature[EF]{$F$}{Objective function}{}{\pageref{nomen:F}}
\clearpage
\newpage
\phantomsection
This is $ND\_SNK$\label{nomen:ND} \nomenclature[EN]{$ND\_SNK$}{Total number of load buses in sink area}{}{\pageref{nomen:ND}}
\newpage
\phantomsection
This is $P_{Gi}$\label{nomen:Gi} \nomenclature[EP]{$P_{Gi}$}{Real power generation at bus $i$}{MW}{\pageref{nomen:Gi}}
\end{document}
By using a label and hyperref the page numbers can be turned into clickage links.

This has to be compiled with pdflatex. And then, you have to run makeindex.exe -s nomentbl.ist -t "doi.nlg" -o "doi.nls" "doi.nlo", where doi is the name of your .tex (doi.tex) file. And, agian you have to run pdflatex ondoi.tex`.
nomentbl or nomencl? (I didn't find any nomentable package on CTAN).
– Gonzalo Medina
May 07 '12 at 02:26
Here's a simple way:
\documentclass{article}
\begin{document}
\begin{tabular}{p{1.75cm}p{10cm}p{1cm}}
$N(\mu, \sum)$ & multivariate Gaussian (normal) distribution with mean vector $\mu$
and covariance matrix $\sum$ & $1$\\
$M_n$ & maximum of $X_1$, $X_2$, \ldots, $X_n$ & $14$\\
$I_A$ & indicator function of the set $A$ & $175$\\
\end{tabular}
\end{document}
The arguments like p{1.75cm} tell you how wide the column is. If the information is too long, as in the first line (2nd column), it overflows to the second line.
glossariespackage provides generic function for different types of "list of things" and references to them, in contrast to single-purpose packages like, for example,acronymornomentbl. – Brent.Longborough May 07 '12 at 10:02\newglossaryentry(as in my example), and then in your document you use\gls{<name>}(or the other various available commands (see the package documentation)) to refer to the symbol. – Gonzalo Medina May 24 '12 at 22:00sortmeans, likesort=fnandsort=fnc? And how do I givesortfor other entries? Can I just don't givesortfor them? Does it work inamsbookdocumentclass (I use it but now it doesn't work)? I'm using texstudio on Mac. – Lao-tzu Dec 22 '19 at 16:47