X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-cone.tex;h=78e87415f587dddb5832215cf91aad5079d04fd3;hp=a9f06fe49ca1fcebefd3c3719f542fc7d9af745c;hb=HEAD;hpb=0764c4b643f444e4e46c6b3481ba32962bee5bfe diff --git a/mjo-cone.tex b/mjo-cone.tex index a9f06fe..00a1309 100644 --- a/mjo-cone.tex +++ b/mjo-cone.tex @@ -12,7 +12,8 @@ \usepackage{amssymb} % \succcurlyeq, \preccurlyeq \fi -\input{mjo-common} % for \of, at least +\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}}_{+} }