X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-common.tex;h=e59920181ae51081530fbe92cfad47b87ba5d387;hb=a9d942d6d7226cdf87be5b8cef9743d30d75ce06;hp=1e3c69f6b780a7fb00f7c362910981366db3c876;hpb=cabf89f8e9b033a0a0d0e875886928f227798413;p=mjotex.git diff --git a/mjo-common.tex b/mjo-common.tex index 1e3c69f..e599201 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) } @@ -78,11 +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 % @@ -112,5 +120,7 @@ { {#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} }