From 38147a40c34416d5dbd87f44d8786e3dd73a132f Mon Sep 17 00:00:00 2001
From: Michael Orlitzky <michael@orlitzky.com>
Date: Sun, 5 Jun 2016 15:08:07 -0400
Subject: [PATCH] Fix all chktex warnings.

---
 mjo-arrow.tex          |  2 +-
 mjo-common.tex         | 14 +++++++-------
 mjo-cone.tex           |  8 ++++----
 mjo-linear_algebra.tex | 22 +++++++++++-----------
 mjo-proof_by_cases.tex |  4 ++--
 5 files changed, 25 insertions(+), 25 deletions(-)

diff --git a/mjo-arrow.tex b/mjo-arrow.tex
index 3ae2daa..6f26207 100644
--- a/mjo-arrow.tex
+++ b/mjo-arrow.tex
@@ -7,4 +7,4 @@
 
 % 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} }
+\newcommand*{\compose}[2]{ {#1}\circ{#2} }
diff --git a/mjo-common.tex b/mjo-common.tex
index 26e761b..e19d788 100644
--- a/mjo-common.tex
+++ b/mjo-common.tex
@@ -3,28 +3,28 @@
 %
 
 % Place the argument in matching left/right parntheses.
-\providecommand*{\of}[1]{ \left( {#1} \right) }
+\providecommand*{\of}[1]{ \left({#1}\right) }
 
 % Group terms using parentheses.
-\providecommand*{\qty}[1]{ \left( {#1} \right) }
+\providecommand*{\qty}[1]{ \left({#1}\right) }
 
 % Group terms using square brackets.
-\providecommand*{\sqty}[1]{ \left[ {#1} \right] }
+\providecommand*{\sqty}[1]{ \left[{#1}\right] }
 
 % Create a set from the given elements
-\providecommand*{\set}[1]{ \left\lbrace {#1} \right\rbrace }
+\providecommand*{\set}[1]{\left\lbrace{#1}\right\rbrace}
 
 % A set comprehension, where the ``such that...'' bar is added
 % automatically. The bar was chosen over a colon to avoid ambiguity
 % with the L : V -> V notation. We can't leverage \set here because \middle
 % needs \left and \right present.
-\providecommand*{\setc}[2]{ \left\lbrace {#1}\ \middle|\ {#2} \right\rbrace }
+\providecommand*{\setc}[2]{\left\lbrace{#1}\ \middle|\ {#2} \right\rbrace}
 
 % A pair of things.
-\providecommand*{\pair}[2]{ \left( {#1}, {#2} \right) }
+\providecommand*{\pair}[2]{ \left({#1},{#2}\right) }
 
 % The Cartesian product of two things.
-\providecommand*{\cartprod}[2]{ {#1} \times {#2} }
+\providecommand*{\cartprod}[2]{ {#1}\times{#2} }
 
 % The Cartesian product of three things.
 \providecommand*{\cartprodthree}[3]{ \cartprod{{#1}}{\cartprod{{#2}}{{#3}}} }
diff --git a/mjo-cone.tex b/mjo-cone.tex
index 443d700..a7507d6 100644
--- a/mjo-cone.tex
+++ b/mjo-cone.tex
@@ -45,10 +45,10 @@
 %
 
 % Standard cone inequalities.
-\newcommand*{\gek}{ \succcurlyeq }
-\newcommand*{\gtk}{ \succ }
-\newcommand*{\lek}{ \preccurlyeq }
-\newcommand*{\ltk}{ \prec }
+\newcommand*{\gek}{\succcurlyeq}
+\newcommand*{\gtk}{\succ}
+\newcommand*{\lek}{\preccurlyeq}
+\newcommand*{\ltk}{\prec}
 
 
 % Starred versions of the cone inequality operators.
diff --git a/mjo-linear_algebra.tex b/mjo-linear_algebra.tex
index 9e32d21..e11a945 100644
--- a/mjo-linear_algebra.tex
+++ b/mjo-linear_algebra.tex
@@ -8,43 +8,43 @@
 \input{mjo-common}
 
 % Absolute value (modulis) of a scalar.
-\newcommand*{\abs}[1]{ \left\lvert {#1} \right\rvert }
+\newcommand*{\abs}[1]{\left\lvert{#1}\right\rvert}
 
 % Norm of a vector.
-\newcommand*{\norm}[1]{ \left\lVert {#1} \right\rVert }
+\newcommand*{\norm}[1]{\left\lVert{#1}\right\rVert}
 
 % The inner product between its two arguments.
-\newcommand*{\ip}[2]{ \langle {#1}, {#2} \rangle }
+\newcommand*{\ip}[2]{\langle{#1},{#2}\rangle}
 
 % The tensor product of its two arguments.
-\newcommand*{\tp}[2]{ {#1} \otimes {#2} }
+\newcommand*{\tp}[2]{ {#1}\otimes{#2} }
 
 % The ``span of'' operator. The name \span is already taken.
-\newcommand*{\spanof}[1]{ \operatorname{span} \of{{#1}} }
+\newcommand*{\spanof}[1]{ \operatorname{span}\of{{#1}} }
 
 % The ``co-dimension of'' operator.
 \newcommand*{\codim}{ \operatorname{codim} }
 
 % The trace of an operator.
-\newcommand*{\trace}[1]{ \operatorname{trace} \of{{#1}} }
+\newcommand*{\trace}[1]{ \operatorname{trace}\of{{#1}} }
 
 % The orthogonal projection of its second argument onto the first.
 \newcommand*{\proj}[2] { \operatorname{proj}\of{#1, #2} }
 
 % The ``Automorphism group of'' operator.
-\newcommand*{\Aut}[1]{ \operatorname{Aut} \of{{#1}} }
+\newcommand*{\Aut}[1]{ \operatorname{Aut}\of{{#1}} }
 
 % The ``Lie algebra of'' operator.
-\newcommand*{\Lie}[1]{ \operatorname{Lie} \of{{#1}} }
+\newcommand*{\Lie}[1]{ \operatorname{Lie}\of{{#1}} }
 
 % The ``write a matrix as a big vector'' operator.
-\newcommand*{\vectorize}[1]{ \operatorname{vec} \of{{#1}} }
+\newcommand*{\vectorize}[1]{ \operatorname{vec}\of{{#1}} }
 
 % The ``write a big vector as a matrix'' operator.
-\newcommand*{\matricize}[1]{ \operatorname{mat} \of{{#1}} }
+\newcommand*{\matricize}[1]{ \operatorname{mat}\of{{#1}} }
 
 % An inline column vector, with parentheses and a transpose operator.
-\newcommand*{\colvec}[1]{ \left( {#1} \right)^{T} }
+\newcommand*{\colvec}[1]{ \left({#1}\right)^{T} }
 
 % Bounded linear operators on some space. The required argument is the
 % domain of those operators, and the optional argument is the
diff --git a/mjo-proof_by_cases.tex b/mjo-proof_by_cases.tex
index 7dbe91c..b85daef 100644
--- a/mjo-proof_by_cases.tex
+++ b/mjo-proof_by_cases.tex
@@ -19,8 +19,8 @@
   label=\textbf{Case~\arabic*}~(\protect\thiscase)\textbf{:},
   ref=\arabic*,
   align=left,
-  leftmargin=\parindent
-}
+  leftmargin=\parindent}
+
 \newcommand{\case}[1][]{
   \def\thiscase{#1}%
   \item
-- 
2.43.2