X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-convex.tex;h=5ac7dcb974ebaf1282c3506cc7e5840bc9777871;hp=f482f9f2fa4eeac75155f05893fc3a3fe4f5bfc8;hb=f9205a3b883c08499edfdd3f9d1a6170a6fc6755;hpb=d6a9f13f45fead88404ee02cb446db2f3047eee8

diff --git a/mjo-convex.tex b/mjo-convex.tex
index f482f9f..5ac7dcb 100644
--- a/mjo-convex.tex
+++ b/mjo-convex.tex
@@ -1,8 +1,15 @@
 %
 % Operations that usually appear in convex optimization.
 %
+\ifx\havemjoconvex\undefined
+\def\havemjoconvex{1}
 
-\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}} }
@@ -19,5 +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