X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-convex.tex;h=5ac7dcb974ebaf1282c3506cc7e5840bc9777871;hp=823f1f46cd5cf4023b89f2462c559a3060a70f8c;hb=HEAD;hpb=af7e58d88448fa6726d8e6df22b280390e0a5a34 diff --git a/mjo-convex.tex b/mjo-convex.tex index 823f1f4..5ac7dcb 100644 --- a/mjo-convex.tex +++ b/mjo-convex.tex @@ -1,11 +1,15 @@ % % Operations that usually appear in convex optimization. % +\ifx\havemjoconvex\undefined +\def\havemjoconvex{1} -% Needed for \operatorname. -\usepackage{amsopn} -\input{mjo-common} +\ifx\operatorname\undefined + \usepackage{amsopn} +\fi + +\input{mjo-common} % for \of, at least % The ``conic combination'' operator. \newcommand*{\cone}[1]{ \operatorname{cone} \of{{#1}} } @@ -22,5 +26,12 @@ % The ``lineality'' operator. \newcommand*{\lin}[1]{ \operatorname{lin} \of{{#1}} } -% The ``Exteme vectors'' operator. +% The ``Extreme vectors'' (or ``Extreme directions'') operator. \newcommand*{\Ext}[1]{ \operatorname{Ext} \of{{#1}} } + +% The "is a face of" and "is a proper face of" relations. +\newcommand*{\faceof}{ \trianglelefteq } +\newcommand*{\properfaceof}{ \triangleleft } + + +\fi