X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-common.tex;h=27c4c7b3f3d8ee8e81f03bab8f5df3afa6102e3d;hb=37b342a8a6fada8b0fbe828bdf97f346b538f5f4;hp=aa7427fc96dbe46a0582a83de7c7e494e0a78f59;hpb=e6bb4f9ae2d3785b331388703b8793e0409d30af;p=mjotex.git

diff --git a/mjo-common.tex b/mjo-common.tex
index aa7427f..27c4c7b 100644
--- a/mjo-common.tex
+++ b/mjo-common.tex
@@ -37,6 +37,18 @@
 % 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} }
 
@@ -66,36 +78,94 @@
   \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
 }
 
+\ifdefined\newglossaryentry
+  \newglossaryentry{C}{
+    name={\ensuremath{\Cn[1]}},
+    description={the field of complex numbers},
+    sort=C
+  }
+\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{Sn}{
+    name={\ensuremath{\Sn}},
+    description={the set of $n$-by-$n$ real symmetric matrices},
+    sort=Sn
+  }
+\fi
+
 % The space of complex Hermitian n-by-n matrices.
 \newcommand*{\Hn}[1][n]{
   \mathcal{H}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
 }
 
+\ifdefined\newglossaryentry
+  \newglossaryentry{Hn}{
+    name={\ensuremath{\Hn}},
+    description={the set of $n$-by-$n$ complex Hermitian matrices},
+    sort=Hn
+  }
+\fi
+
 %
 % Basic set operations
 %