Whitespace cleanup.

[mjotex.git] / mjo-cone.tex

diff --git a/mjo-cone.tex b/mjo-cone.tex
index b53e23918d36c644d9ead02e35574d9adbdcc2a6..b770d753ec3ad8855a0ab91081550ee106737056 100644 (file)
--- a/mjo-cone.tex
+++ b/mjo-cone.tex
@@ -59,25 +59,11 @@
 % The space of Lyapunov-like operators on its argument.
 \newcommand*{\LL}[1]{ \mathbf{LL}\of{ {#1} } }
 
+% 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}