Add \inverse and \lyapunovrank commands.

diff --git a/mjo-arrow.tex b/mjo-arrow.tex
index 6f26207b728ed4ecf9e49a38a0cb9d946017e076..75b70c9d8b3670d94fb5ed5ca953d20b2464a008 100644 (file)
--- a/mjo-arrow.tex
+++ b/mjo-arrow.tex
@@ -8,3 +8,6 @@
 % The composition of two arrows/functions. For example, the
 % composition of g with f is \compose{g}{f}\of{x} === g\of{f\of{x}}.
 \newcommand*{\compose}[2]{ {#1}\circ{#2} }
+
+% The inverse of an arrow, function, or whatever.
+\newcommand*{\inverse}[1]{ #1^{-1} }

diff --git a/mjo-cone.tex b/mjo-cone.tex
index b53e23918d36c644d9ead02e35574d9adbdcc2a6..6c681e9ebee4a7d0a9b7fef673ac3bf45cd1f1d5 100644 (file)
--- a/mjo-cone.tex
+++ b/mjo-cone.tex
@@ -59,6 +59,8 @@
 % 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.