X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-linear_algebra.tex;h=b077288f972598438c103427d082f14217a60d8f;hb=639e4225d9058eed0e83728935e37e927df04862;hp=0fce684a88ba6f8cac3e2136dca6d77c05ae198c;hpb=d6a9f13f45fead88404ee02cb446db2f3047eee8;p=mjotex.git diff --git a/mjo-linear_algebra.tex b/mjo-linear_algebra.tex index 0fce684..b077288 100644 --- a/mjo-linear_algebra.tex +++ b/mjo-linear_algebra.tex @@ -2,10 +2,13 @@ % Standard operations from linear algebra. % +% Needed for \operatorname. +\usepackage{amsopn} + \input{mjo-common} % The inner product between its two arguments. -\DeclarePairedDelimiterX{\ip}[2]{ \langle }{ \rangle}{ {#1}, {#2} } +\newcommand*{\ip}[2]{ \langle {#1}, {#2} \rangle } % The tensor product of its two arguments. \newcommand*{\tp}[2]{ {#1} \otimes {#2} } @@ -36,3 +39,6 @@ % The inverse of the adjoint of an operator (the argument). \newcommand*{\adjinv}[1]{ \left( {#1}^{*} \right)^{-1} } + +% An inline column vector, with parentheses and a transpose operator. +\newcommand*{\colvec}[1]{ \left( {#1} \right)^{T} }