X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-cone.tex;h=dad432e76b46025182de3c9f808103f54ada6d29;hb=21149d05f0bf33baecfe002704f8dd3d939951e7;hp=6c681e9ebee4a7d0a9b7fef673ac3bf45cd1f1d5;hpb=d85706cc1efea350df9e957f6583a92d4e05359f;p=mjotex.git

diff --git a/mjo-cone.tex b/mjo-cone.tex
index 6c681e9..dad432e 100644
--- a/mjo-cone.tex
+++ b/mjo-cone.tex
@@ -24,10 +24,10 @@
 \newcommand*{\Lnplus}[1][n]{ \mathcal{L}^{{#1}}_{+} }
 
 % The PSD cone in a space of symmetric matrices.
-\newcommand*{\Snplus}[1][n]{ \mathcal{S}^{{#1}}_{+} }
+\newcommand*{\Snplus}[1][n]{ \Sn[#1]_{+} }
 
 % The PSD cone in a space of Hermitian matrices.
-\newcommand*{\Hnplus}[1][n]{ \mathcal{H}^{{#1}}_{+} }
+\newcommand*{\Hnplus}[1][n]{ \Hn[#1]_{+} }
 
 
 %
@@ -62,24 +62,8 @@
 % The Lyapunov rank of the given cone.
 \newcommand*{\lyapunovrank}[1]{ \beta\of{ {#1} } }
 
-%
 % Cone inequality operators.
-%
-
-% Standard cone inequalities.
-\newcommand*{\gek}{\succcurlyeq}
-\newcommand*{\gtk}{\succ}
-\newcommand*{\lek}{\preccurlyeq}
-\newcommand*{\ltk}{\prec}
-
-
-% Starred versions of the cone inequality operators.
-\newcommand*{\ineqkstar}[1]{ \mathrel{ \overset{ _{\ast} }{ #1 } } }
-\newcommand*{\gekstar}{ \ineqkstar{\gek} }
-\newcommand*{\gtkstar}{ \ineqkstar{\gtk} }
-\newcommand*{\lekstar}{ \ineqkstar{\lek} }
-\newcommand*{\ltkstar}{ \ineqkstar{\ltk} }
-
-% And negated versions of some of those...
-\newcommand*{\ngeqkstar}{ \ineqkstar{\nsucceq} }
-\newcommand*{\ngtrkstar}{ \ineqkstar{\nsucc} }
+\newcommand*{\gecone}{\succcurlyeq}
+\newcommand*{\gtcone}{\succ}
+\newcommand*{\lecone}{\preccurlyeq}
+\newcommand*{\ltcone}{\prec}