X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-common.tex;h=7b6280b245233c9ae8928e2e480a05777e312b51;hb=7321e6c665f3b9797bb7a76618e6419a33357e6c;hp=1a8f6fe4ac45f7ce32fe64106ffa15ccc486addd;hpb=db9108a5c69e72667f4731880f1e3173459675fd;p=mjotex.git

diff --git a/mjo-common.tex b/mjo-common.tex
index 1a8f6fe..7b6280b 100644
--- a/mjo-common.tex
+++ b/mjo-common.tex
@@ -5,7 +5,10 @@
 % Needed for \mathbb.
 \usepackage{amsfonts}
 
-% Place the argument in matching left/right parntheses.
+% Needed for \bigtimes.
+\usepackage{mathtools}
+
+% Place the argument in matching left/right parentheses.
 \providecommand*{\of}[1]{ \left({#1}\right) }
 
 % Group terms using parentheses.
@@ -78,11 +81,16 @@
   \mathbb{C}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
 }
 
-% The space of symmetric n-by-n matrices.
+% The space of real symmetric n-by-n matrices.
 \providecommand*{\Sn}[1][n]{
   \mathcal{S}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
 }
 
+% The space of complex Hermitian n-by-n matrices.
+\providecommand*{\Hn}[1][n]{
+  \mathcal{H}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
+}
+
 %
 % Basic set operations
 %
@@ -112,7 +120,15 @@
              { {#1}_{#2}^{#3}{#4} }
 }
 
-\providecommand*{\intersectmany}[3]{ \binopmany{\cap}{#1}{#2}{#3} }
-\providecommand*{\cartprodmany}[3]{ \binopmany{\times}{#1}{#2}{#3} }
-\providecommand*{\directsummany}[3]{ \binopmany{\oplus}{#1}{#2}{#3} }
-\providecommand*{\unionmany}[3]{ \binopmany{\cup}{#1}{#2}{#3} }
+\providecommand*{\intersectmany}[3]{ \binopmany{\bigcap}{#1}{#2}{#3} }
+\providecommand*{\cartprodmany}[3]{ \binopmany{\bigtimes}{#1}{#2}{#3} }
+\providecommand*{\directsummany}[3]{ \binopmany{\bigoplus}{#1}{#2}{#3} }
+\providecommand*{\unionmany}[3]{ \binopmany{\bigcup}{#1}{#2}{#3} }
+
+
+% The four standard (UNLESS YOU'RE FRENCH) types of intervals along
+% the real line.
+\providecommand*{\intervaloo}[2]{ \left({#1},{#2}\right) } % open-open
+\providecommand*{\intervaloc}[2]{ \left({#1},{#2}\right] } % open-closed
+\providecommand*{\intervalco}[2]{ \left[{#1},{#2}\right) } % closed-open
+\providecommand*{\intervalcc}[2]{ \left[{#1},{#2}\right] } % closed-closed