X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;ds=sidebyside;f=mjo-common.tex;h=74a0fe508d22b44d82348ee767469272b7aa9f0d;hb=2dac5ec377a12619d1e1f7d8e036dab13af101cb;hp=61ea7c48e7cd8fe0d6ead881d37c5275330b6a0a;hpb=5f2d44683ba6cb73b45d572724e827f70641660d;p=mjotex.git diff --git a/mjo-common.tex b/mjo-common.tex index 61ea7c4..74a0fe5 100644 --- a/mjo-common.tex +++ b/mjo-common.tex @@ -5,6 +5,9 @@ % Needed for \mathbb. \usepackage{amsfonts} +% Needed for \bigtimes. +\usepackage{mathtools} + % Place the argument in matching left/right parntheses. \providecommand*{\of}[1]{ \left({#1}\right) } @@ -78,6 +81,10 @@ \mathbb{C}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi } +% The space of symmetric n-by-n matrices. +\providecommand*{\Sn}[1][n]{ + \mathcal{S}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi +} % % Basic set operations @@ -108,5 +115,7 @@ { {#1}_{#2}^{#3}{#4} } } -\providecommand*{\unionmany}[3]{ \binopmany{\cup}{#1}{#2}{#3} } -\providecommand*{\intersectmany}[3]{ \binopmany{\cap}{#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} }