X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-common.tex;h=38b262ba403c705e5fb0b543ce1b2df997c6970d;hp=e74648416d8a02bb7128c7f50275daecb5e7d3a8;hb=f9205a3b883c08499edfdd3f9d1a6170a6fc6755;hpb=e799531ea384c819fc849d2d512062f989453f04

diff --git a/mjo-common.tex b/mjo-common.tex
index e746484..38b262b 100644
--- a/mjo-common.tex
+++ b/mjo-common.tex
@@ -4,15 +4,10 @@
 \ifx\havemjocommon\undefined
 \def\havemjocommon{1}
 
-
 \ifx\mathbb\undefined
   \usepackage{amsfonts}
 \fi
 
-\ifx\bigtimes\undefined
-  \usepackage{mathtools}
-\fi
-
 % Place the argument in matching left/right parentheses.
 \newcommand*{\of}[1]{ \left({#1}\right) }
 
@@ -22,32 +17,23 @@
 % Group terms using square brackets.
 \newcommand*{\sqty}[1]{ \left[{#1}\right] }
 
-% Create a set from the given elements
-\newcommand*{\set}[1]{\left\lbrace{#1}\right\rbrace}
-
-% A set comprehension, where the ``such that...'' bar is added
-% automatically. The bar was chosen over a colon to avoid ambiguity
-% with the L : V -> V notation. We can't leverage \set here because \middle
-% needs \left and \right present.
-\newcommand*{\setc}[2]{\left\lbrace{#1}\ \middle|\ {#2} \right\rbrace}
-
 % A pair of things.
 \newcommand*{\pair}[2]{ \left({#1},{#2}\right) }
 
 % A triple of things.
 \newcommand*{\triple}[3]{ \left({#1},{#2},{#3}\right) }
 
-% The Cartesian product of two things.
-\newcommand*{\cartprod}[2]{ {#1}\times{#2} }
+% A four-tuple of things.
+\newcommand*{\quadruple}[4]{ \left({#1},{#2},{#3},{#4}\right) }
 
-% The Cartesian product of three things.
-\newcommand*{\cartprodthree}[3]{ \cartprod{{#1}}{\cartprod{{#2}}{{#3}}} }
+% A five-tuple of things.
+\newcommand*{\quintuple}[5]{ \left({#1},{#2},{#3},{#4},{#5}\right) }
 
-% The direct sum of two things.
-\newcommand*{\directsum}[2]{ {#1}\oplus{#2} }
+% A six-tuple of things.
+\newcommand*{\sextuple}[6]{ \left({#1},{#2},{#3},{#4},{#5},{#6}\right) }
 
-% The direct sum of three things.
-\newcommand*{\directsumthree}[3]{ \directsum{#1}{\directsum{#2}{#3}} }
+% A seven-tuple of things.
+\newcommand*{\septuple}[7]{ \left({#1},{#2},{#3},{#4},{#5},{#6},{#7}\right) }
 
 % The factorial operator.
 \newcommand*{\factorial}[1]{ {#1}! }
@@ -128,48 +114,6 @@
 \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
-%
-
-% The union of its two arguments.
-\newcommand*{\union}[2]{ {#1}\cup{#2} }
-
-% A three-argument union.
-\newcommand*{\unionthree}[3]{ \union{\union{#1}{#2}}{#3} }
-
-% The intersection of its two arguments.
-\newcommand*{\intersect}[2]{ {#1}\cap{#2} }
-
-% A three-argument intersection.
-\newcommand*{\intersectthree}[3]{ \intersect{\intersect{#1}{#2}}{#3} }
-
 % An indexed arbitrary binary operation such as the union or
 % intersection of an infinite number of sets. The first argument is
 % the operator symbol to use, such as \cup for a union. The second
@@ -183,11 +127,6 @@
              { {#1}_{#2}^{#3}{#4} }
 }
 
-\newcommand*{\intersectmany}[3]{ \binopmany{\bigcap}{#1}{#2}{#3} }
-\newcommand*{\cartprodmany}[3]{ \binopmany{\bigtimes}{#1}{#2}{#3} }
-\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.