% This file is public domain. See the "Examples" chapter
% in the bib2gls user manual for a more detailed description
% of this file.

% Encoding: UTF-8

% requires amssymb.sty

@preamble{"\providecommand{\setfmt}[1]{\mathcal{#1}}
\providecommand{\setcontentsfmt}[1]{\{#1\}}
\providecommand{\setmembershipfmt}[2]{\setcontentsfmt{#1: #2}}
\providecommand{\setmembershiponeargfmt}[1]{\setmembershipfmt#1}
\providecommand{\setcardfmt}[1]{\lvert#1\rvert}
\providecommand{\numspacefmt}[1]{\mathbb{#1}}
\providecommand{\transposefmt}[1]{#1^T}
\providecommand{\invfmt}[1]{#1^{-1}}
\providecommand{\vecfmt}[1]{\boldsymbol{#1}}
\providecommand{\mtxfmt}[1]{\boldsymbol{#1}}"}

@symbol{set,
  name={\ensuremath{\setfmt{S}}},
  description={\sortart{a}{set}},
  format={setfmt},
  identifier={set}
}

@symbol{setcontents,
  name={\ensuremath{\setcontentsfmt{\ldots}}},
  description={set contents},
  format={setcontentsfmt},
  identifier={set}
}

@symbol{setmembership,
  name={\ensuremath{\setmembershipfmt{\vecfmt{x}}{\ldots}}},
  description={set membership},
  format={setmembershiponeargfmt},
  identifier={set}
}

@symbol{setcard,
  name={\ensuremath{\setcardfmt{\setfmt{S}}}},
  description={\sortart{the}{cardinality of $\setfmt{S}$}},
  format={setcardfmt},
  identifier={set}
}

@symbol{numberspace,
  name={\ensuremath{\numspacefmt{S}}},
  description={\sortart{a}{number space}},
  format={numspacefmt},
  identifier={numberspace}
}

@symbol{naturalnumbers,
  name={\ensuremath{\numspacefmt{N}}},
  description={\sortart{the}{set of natural numbers}},
  identifier={numberspace}
}

@symbol{integernumbers,
  name={\ensuremath{\numspacefmt{Z}}},
  description={\sortart{the}{set of integers}},
  identifier={numberspace}
}

@symbol{rationalnumbers,
  name={\ensuremath{\numspacefmt{Q}}},
  description={\sortart{the}{set of rational numbers}},
  identifier={numberspace}
}

@symbol{algebraicnumbers,
  name={\ensuremath{\numspacefmt{A}}},
  description={\sortart{the}{set of algebraic numbers}},
  identifier={numberspace}
}

@symbol{realnumbers,
  name={\ensuremath{\numspacefmt{R}}},
  description={\sortart{the}{set of real numbers}},
  identifier={numberspace}
}

@symbol{imaginarynumbers,
  name={\ensuremath{\numspacefmt{I}}},
  description={\sortart{the}{set of imaginary numbers}},
  identifier={numberspace}
}

@symbol{complexnumbers,
  name={\ensuremath{\numspacefmt{C}}},
  description={\sortart{the}{set of complex numbers}},
  identifier={numberspace}
}

@symbol{emptyset,
  name={\ensuremath{\emptyset}},
  description={\sortart{the}{empty set}},
  identifier={set}
}

@symbol{universalset,
  name={\ensuremath{\setfmt{U}}},
  description={\sortart{the}{universal set}},
  identifier={set}
}

@symbol{transpose,
  name={\ensuremath{\transposefmt{\vecfmt{x}}}},
  description={\sortart{the}{transpose of $\vecfmt{x}$}},
  format={transposefmt},
  identifier={matrix}
}

@symbol{inverse,
  name={\ensuremath{\invfmt{\mtxfmt{M}}}},
  description={\sortart{the}{inverse of $\mtxfmt{M}$}},
  format={invfmt},
  identifier={matrix}
}

@symbol{vector,
  name={\ensuremath{\vecfmt{v}}},
  description={\sortart{a}{vector}},
  format={vecfmt},
  identifier={matrix}
}

@symbol{matrix,
  name={\ensuremath{\mtxfmt{M}}},
  description={\sortart{a}{matrix}},
  format={mtxfmt},
  identifier={matrix}
}

@symbol{0vec,
  name={\ensuremath{\vecfmt{0}}},
  description={\sortart{the}{vector of 0s}},
  identifier={matrix}
}

@symbol{1vec,
  name={\ensuremath{\vecfmt{1}}},
  description={\sortart{the}{vector of 1s}},
  identifier={matrix}
}

@symbol{identitymatrix,
  name={\ensuremath{\mtxfmt{I}}},
  description={\sortart{the}{identity matrix}},
  identifier={matrix}
}