From d85706cc1efea350df9e957f6583a92d4e05359f Mon Sep 17 00:00:00 2001
From: Michael Orlitzky <michael@orlitzky.com>
Date: Sun, 28 Aug 2016 22:15:00 -0400
Subject: [PATCH] Add \inverse and \lyapunovrank commands.

---
 mjo-arrow.tex | 3 +++
 mjo-cone.tex  | 2 ++
 2 files changed, 5 insertions(+)

diff --git a/mjo-arrow.tex b/mjo-arrow.tex
index 6f26207..75b70c9 100644
--- 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 b53e239..6c681e9 100644
--- 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.
-- 
2.43.2