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 % arara: pdflatex
 % arara: pdflatex
\documentclass{report}

\usepackage[colorlinks]{hyperref}
\usepackage[index,symbols,nohypertypes={index}]{glossaries}
\usepackage{glossary-mcols}

\makenoidxglossaries

\renewcommand{\theHequation}{\theequation}

 % main entries

\newglossaryentry{elite}{%
  name={{\'e}lite},
  description={select group of people}
}

\newglossaryentry{elephant}{%
  name={elephant},
  description={very large mammal with tusks}
}

\newglossaryentry{elk}{%
  name={elk},
  description={large northern deer}
}

\newglossaryentry{emigre}{%
  name={{\'e}migr\'e},
  description={person who has emigrated to another country,
   especially for political reasons}
}

 % Symbols

\newglossaryentry{set}{%
  type=symbols,
  name={$\mathcal{S}$},
  text={\mathcal{S}},
  sort={S},
  description={A set}}

\newglossaryentry{U}{%
  type=symbols,
  name={$\mathcal{U}$},
  text={\mathcal{U}},
  sort={U},
  description={The universal set}}

\newglossaryentry{card}{%
  type=symbols,
  name={$|\glsentrytext{set}|$},
  text={|\glsentrytext{set}|},
  sort={|},
  description={cardinality of $\gls{set}$}}

\newglossaryentry{factorial}{%
  type=symbols,
  name={$!$},
  text={!},
  sort={!},
  description={factorial}}

 % index entries

\newterm{seal}

\newterm{dinosaur}

\newterm[parent=dinosaur]{ceratopsidae}

\newterm[parent=dinosaur,plural={stegosauruses}]{stegosaurus}
\newterm[parent=ceratopsidae,plural={triceratopses}]{triceratops}
\newterm[parent=ceratopsidae,plural={styracosauruses}]{styracosaurus}
\newterm[parent=dinosaur,plural={apatosauruses}]{apatosaurus}

\newterm{Triassic}

\newterm{Devonian}

\newterm[see={[see also]seal}]{sea lion}

\begin{document}

\chapter{Mathematical Notation}

The cardinality of a set $\gls{set}$ is denoted $\gls{card}$
The $\gls{factorial}$ symbol indicates factorial.
$\gls{U}$ is the universal set.

\glsaddall[types=main]

\chapter{Dinosaurs}

\Glspl{dinosaur} are now extinct. They first appeared during the
\gls{Triassic} period. Examples of \glspl{dinosaur} include the
\gls{triceratops}, the \gls{styracosaurus}, the \gls{apatosaurus} and the \gls{stegosaurus}.

\Glspl{seal} and \glspl{sea lion} are marine mammals.
The \gls{Devonian} period was the age of fish.

\glsaddall[types=main]

\chapter{Location Lists}

Dinosaur: \glsdisplaynumberlist{dinosaur}.

Set: \glsdisplaynumberlist{set}.

\Gls{elite}: \glsdisplaynumberlist{elite}.

\begin{equation}
3\gls[counter=equation]{factorial} = 3 \times 2 \times 1
\end{equation}

\newcommand{\myhandler}[4]{%
  Prefix: #1.
  Counter: #2.
  Format: #3.
  Value: #4.
  Link: \setentrycounter[#1]{#2}%
  \csuse{#3}{#4}.
  \par
}
\newcommand{\myxrhandler}[2][]{XR (#1): #2. }

Factorial locations:
\glsnumberlistloop{factorial}{\myhandler}{\myxrhandler}

Sea lion locations:
\glsnumberlistloop{sea lion}{\myhandler}{\myxrhandler}

\printnoidxglossary[type=main,sort=word]

\printnoidxglossary[type=symbols,sort=use]

\renewcommand*{\glsnamefont}[1]{\textmd{#1}}

\printnoidxglossary[type=index,style=mcolindexgroup,sort=letter]

\end{document}