X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-common.tex;h=2785d73d8964f95c7fb9a13785b724252e7f6892;hb=71dc84ac39e0dc87daf64fe61d7523e33711dc34;hp=aa7427fc96dbe46a0582a83de7c7e494e0a78f59;hpb=e6bb4f9ae2d3785b331388703b8793e0409d30af;p=mjotex.git

diff --git a/mjo-common.tex b/mjo-common.tex
index aa7427f..2785d73 100644
--- a/mjo-common.tex
+++ b/mjo-common.tex
@@ -4,7 +4,6 @@
 \ifx\havemjocommon\undefined
 \def\havemjocommon{1}
 
-
 \ifx\mathbb\undefined
   \usepackage{amsfonts}
 \fi
@@ -37,6 +36,18 @@
 % 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} }
 
@@ -66,35 +77,67 @@
   \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
@@ -130,7 +173,6 @@
 \newcommand*{\directsummany}[3]{ \binopmany{\bigoplus}{#1}{#2}{#3} }
 \newcommand*{\unionmany}[3]{ \binopmany{\bigcup}{#1}{#2}{#3} }
 
-
 % The four standard (UNLESS YOU'RE FRENCH) types of intervals along
 % the real line.
 \newcommand*{\intervaloo}[2]{ \left({#1},{#2}\right) } % open-open