X-Git-Url: http://gitweb.michael.orlitzky.com/?p=mjotex.git;a=blobdiff_plain;f=mjo-cone.tex;h=78e87415f587dddb5832215cf91aad5079d04fd3;hp=35edc8e0199a34212a23011a15ef77ce2b9df2e9;hb=HEAD;hpb=fc7cfa7f3d02715cb09eae2e1c6bc501dc2d8d50 diff --git a/mjo-cone.tex b/mjo-cone.tex index 35edc8e..00a1309 100644 --- a/mjo-cone.tex +++ b/mjo-cone.tex @@ -8,9 +8,12 @@ \def\havemjocone{1} -\usepackage{amssymb} % \succcurlyeq and friends +\ifx\succcurlyeq\undefined + \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. @@ -20,8 +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}}_{+} }