X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-common.tex;fp=mjo-common.tex;h=0fcc2aa64817a4705059d35bb79f5d0373e5e7b7;hp=2785d73d8964f95c7fb9a13785b724252e7f6892;hb=4febc3ad82bc8ac73e660c484e105835feb1ed84;hpb=71dc84ac39e0dc87daf64fe61d7523e33711dc34

diff --git a/mjo-common.tex b/mjo-common.tex
index 2785d73..0fcc2aa 100644
--- a/mjo-common.tex
+++ b/mjo-common.tex
@@ -8,10 +8,6 @@
   \usepackage{amsfonts}
 \fi
 
-\ifx\bigtimes\undefined
-  \usepackage{mathtools}
-\fi
-
 % Place the argument in matching left/right parentheses.
 \newcommand*{\of}[1]{ \left({#1}\right) }
 
@@ -48,12 +44,6 @@
 % 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} }
-
-% The Cartesian product of three things.
-\newcommand*{\cartprodthree}[3]{ \cartprod{{#1}}{\cartprod{{#2}}{{#3}}} }
-
 % The direct sum of two things.
 \newcommand*{\directsum}[2]{ {#1}\oplus{#2} }
 
@@ -139,22 +129,6 @@
 \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
@@ -168,10 +142,9 @@
              { {#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.