X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo-cone.tex;h=00a1309dd3fa2a924875da25d613d2fae7dd922a;hb=HEAD;hp=703ecf44d0d63f2a78ddc51e9a2fac9238adc3f6;hpb=e6bb4f9ae2d3785b331388703b8793e0409d30af;p=mjotex.git diff --git a/mjo-cone.tex b/mjo-cone.tex index 703ecf4..00a1309 100644 --- a/mjo-cone.tex +++ b/mjo-cone.tex @@ -12,7 +12,8 @@ \usepackage{amssymb} % \succcurlyeq, \preccurlyeq \fi -\input{mjo-common} +\input{mjo-common} % for \of, \Rn, etc. +\input{mjo-linear_algebra} % \Sn and \Hn % The dual of a subset of an inner-product space; always a closed % convex cone. @@ -22,8 +23,10 @@ % Common cones. % -% The nonnegative orthant in the given number of dimensions. +% The nonnegative and strictly positive orthants in the given number +% of dimensions. \newcommand*{\Rnplus}[1][n]{ \Rn[#1]_{+} } +\newcommand*{\Rnplusplus}[1][n]{ \Rn[#1]_{++} } % The Lorentz ``ice-cream'' cone in the given number of dimensions. \newcommand*{\Lnplus}[1][n]{ \mathcal{L}^{{#1}}_{+} }