X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-linear_algebra.tex;h=e2ae9fa5b18c008639db087142911ba51a6c10b0;hb=71b85fe2012cdf733f6e72137038d7d9960ddf08;hp=aa0b05eaa640e74bc435aa85eab6c455c443a14c;hpb=a9d942d6d7226cdf87be5b8cef9743d30d75ce06;p=mjotex.git diff --git a/mjo-linear_algebra.tex b/mjo-linear_algebra.tex index aa0b05e..e2ae9fa 100644 --- a/mjo-linear_algebra.tex +++ b/mjo-linear_algebra.tex @@ -1,15 +1,22 @@ % % Standard operations from linear algebra. % +\ifx\havemjolinearalgebra\undefined +\def\havemjolinearalgebra{1} -% Needed for \lvert, \rVert, etc. and \operatorname. -\usepackage{amsmath} -% Wasysym contains the \ocircle that we use in \directsumperp. -\usepackage{wasysym} +\ifx\lvert\undefined + \usepackage{amsmath} % \lvert, \rVert, etc. and \operatorname. +\fi -% Part of the adjustbox package; needed to clip the \perp sign. -\usepackage{trimclip} +\ifx\ocircle\undefined + \usepackage{wasysym} +\fi + +\ifx\clipbox\undefined + % Part of the adjustbox package; needed to clip the \perp sign. + \usepackage{trimclip} +\fi \input{mjo-common} @@ -66,7 +73,7 @@ \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]{ \transpose{\left({#1}\right)} } % Bounded linear operators on some space. The required argument is the % domain of those operators, and the optional argument is the @@ -99,3 +106,6 @@ % Now declare an orthogonal direct sum in terms of \oplusperp. \newcommand*{\directsumperp}[2]{ {#1}\oplusperp{#2} } + + +\fi