X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-common.tex;h=8ead1233ece6d100f632c6f390d391d7bd957142;hp=61ea7c48e7cd8fe0d6ead881d37c5275330b6a0a;hb=fc7cfa7f3d02715cb09eae2e1c6bc501dc2d8d50;hpb=5f2d44683ba6cb73b45d572724e827f70641660d diff --git a/mjo-common.tex b/mjo-common.tex index 61ea7c4..8ead123 100644 --- a/mjo-common.tex +++ b/mjo-common.tex @@ -1,11 +1,17 @@ % % Only the most commonly-used macros. Needed by everything else. % +\ifx\havemjocommon\undefined +\def\havemjocommon{1} + % 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. @@ -78,6 +84,15 @@ \mathbb{C}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi } +% 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 @@ -108,5 +123,18 @@ { {#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} } + + +% 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 + + +\fi