\def\havemjocommon{1}
-\ifx\mathbb\undefined
- \usepackage{amsfonts}
-\fi
+\input{mjo-font} % amsfonts and \mathpzc
\ifx\bigtimes\undefined
\usepackage{mathtools}
% A triple of things.
\newcommand*{\triple}[3]{ \left({#1},{#2},{#3}\right) }
+% A four-tuple of things.
+\newcommand*{\quadruple}[4]{ \left({#1},{#2},{#3},{#4}\right) }
+
+% A five-tuple of things.
+\newcommand*{\quintuple}[5]{ \left({#1},{#2},{#3},{#4},{#5}\right) }
+
+% A six-tuple of things.
+\newcommand*{\sextuple}[6]{ \left({#1},{#2},{#3},{#4},{#5},{#6}\right) }
+
+% A seven-tuple of things.
+\newcommand*{\septuple}[7]{ \left({#1},{#2},{#3},{#4},{#5},{#6},{#7}\right) }
+
% The Cartesian product of two things.
\newcommand*{\cartprod}[2]{ {#1}\times{#2} }
\mathbb{N}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
}
+\ifdefined\newglossaryentry
+ \newglossaryentry{N}{
+ name={\ensuremath{\Nn[1]}},
+ description={the set of natural numbers},
+ sort=N
+ }
+\fi
+
% The integral n-space, Z x Z x Z x ... x Z.
\newcommand*{\Zn}[1][n]{
\mathbb{Z}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
}
+\ifdefined\newglossaryentry
+ \newglossaryentry{Z}{
+ name={\ensuremath{\Zn[1]}},
+ description={the ring of integers},
+ sort=Z
+ }
+\fi
+
% The rational n-space, Q x Q x Q x ... x Q.
\newcommand*{\Qn}[1][n]{
\mathbb{Q}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
}
+\ifdefined\newglossaryentry
+ \newglossaryentry{Q}{
+ name={\ensuremath{\Qn[1]}},
+ description={the field of rational numbers},
+ sort=Q
+ }
+\fi
+
% The real n-space, R x R x R x ... x R.
\newcommand*{\Rn}[1][n]{
\mathbb{R}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
}
+\ifdefined\newglossaryentry
+ \newglossaryentry{R}{
+ name={\ensuremath{\Rn[1]}},
+ description={the field of real numbers},
+ sort=R
+ }
+\fi
+
+
% The complex n-space, C x C x C x ... x C.
\newcommand*{\Cn}[1][n]{
\mathbb{C}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
}
-% The space of real symmetric n-by-n matrices.
-\newcommand*{\Sn}[1][n]{
- \mathcal{S}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
-}
+\ifdefined\newglossaryentry
+ \newglossaryentry{C}{
+ name={\ensuremath{\Cn[1]}},
+ description={the field of complex numbers},
+ sort=C
+ }
+\fi
-% The space of complex Hermitian n-by-n matrices.
-\newcommand*{\Hn}[1][n]{
- \mathcal{H}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
-}
%
% Basic set operations
\newcommand*{\directsummany}[3]{ \binopmany{\bigoplus}{#1}{#2}{#3} }
\newcommand*{\unionmany}[3]{ \binopmany{\bigcup}{#1}{#2}{#3} }
+\newcommand*{\powerset}[1]{\mathpzc{P}\of{{#1}}}
+\ifdefined\newglossaryentry
+ \newglossaryentry{powerset}{
+ name={\ensuremath{\powerset{X}}},
+ description={the ``powerset,'' or set of all subsets of $X$},
+ sort=p
+ }
+\fi
% The four standard (UNLESS YOU'RE FRENCH) types of intervals along
% the real line.