From d2f62d848bf0f499432446acb6ae118a2d656f60 Mon Sep 17 00:00:00 2001
From: unknown <kvetonb@PALOL4KG92Q1.am.thmulti.com>
Date: Thu, 1 Mar 2012 02:24:18 -0800
Subject: Algorithm

---
 utils.tex | 114 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 113 insertions(+), 1 deletion(-)

(limited to 'utils.tex')

diff --git a/utils.tex b/utils.tex
index e1cdf9a..1b331c2 100644
--- a/utils.tex
+++ b/utils.tex
@@ -102,4 +102,116 @@
 \newcommand{\ccg}{\cellcolor[gray]{0.9}} % requires \usepackage{colortbl}
 \newcommand{\tcg}[1]{\textcolor[gray]{0.5}{#1}}
 
-
+\newcommand{\commentout}[1]{}
+
+\newcommand{\ba}{{\bf a}}
+\newcommand{\bA}{{\bf A}}
+\newcommand{\bb}{{\bf b}}
+\newcommand{\bB}{{\bf B}}
+\newcommand{\bc}{{\bf c}}
+\newcommand{\bC}{{\bf C}}
+\newcommand{\bd}{{\bf d}}
+\newcommand{\bD}{{\bf D}}
+\newcommand{\be}{{\bf e}}
+\newcommand{\bE}{{\bf E}}
+\newcommand{\bh}{{\bf h}}
+\newcommand{\bH}{{\bf H}}
+\newcommand{\bi}{{\bf i}}
+\newcommand{\bI}{{\bf I}}
+\newcommand{\bM}{{\bf M}}
+\newcommand{\bs}{{\bf s}}
+\newcommand{\bS}{{\bf S}}
+\newcommand{\bu}{{\bf u}}
+\newcommand{\bU}{{\bf U}}
+\newcommand{\bv}{{\bf v}}
+\newcommand{\bV}{{\bf V}}
+\newcommand{\bw}{{\bf w}}
+\newcommand{\bwbar}{\overline{\bw}}
+\newcommand{\bwhat}{\widehat{\bw}}
+\newcommand{\bwstar}{\bw^\ast}
+\newcommand{\bwtilde}{\widetilde{\bw}}
+\newcommand{\bW}{{\bf W}}
+\newcommand{\bx}{{\bf x}}
+\newcommand{\bX}{{\bf X}}
+\newcommand{\by}{{\bf y}}
+\newcommand{\bY}{{\bf Y}}
+\newcommand{\bz}{{\bf z}}
+\newcommand{\bZ}{{\bf Z}}
+\newcommand{\balpha}{{\bm \alpha}}
+\newcommand{\bell}{{\bm \ell}}
+\newcommand{\cA}{\mathcal{A}}
+\newcommand{\cC}{\mathcal{C}}
+\newcommand{\cD}{\mathcal{D}}
+\newcommand{\cE}{\mathcal{E}}
+\newcommand{\cF}{\mathcal{F}}
+\newcommand{\cG}{\mathcal{G}}
+\newcommand{\cH}{\mathcal{H}}
+\newcommand{\cL}{\mathcal{L}}
+\newcommand{\cM}{\mathcal{M}}
+\newcommand{\cN}{\mathcal{N}}
+\newcommand{\cO}{\mathcal{O}}
+\newcommand{\cP}{\mathcal{P}}
+\newcommand{\cS}{\mathcal{S}}
+\newcommand{\cT}{\mathcal{T}}
+\newcommand{\cU}{\mathcal{U}}
+\newcommand{\cX}{\mathcal{X}}
+\newcommand{\cY}{\mathcal{Y}}
+\newcommand{\cZ}{\mathcal{Z}}
+\newcommand{\eps}{\varepsilon}
+\newcommand{\pistar}{\pi^\ast}
+\newcommand{\Qpi}{Q^\pi}
+\newcommand{\Qstar}{Q^\ast}
+\newcommand{\Vhat}{\widehat{V}}
+\newcommand{\Vpi}{V^\pi}
+\newcommand{\Vbw}{V^\bw}
+\newcommand{\Vbwbar}{V^{\bwbar}}
+\newcommand{\Vbwhat}{V^{\bwhat}}
+\newcommand{\Vbwstar}{V^{\bwstar}}
+\newcommand{\Vbwtilde}{V^{\bwtilde}}
+\newcommand{\Vstar}{V^\ast}
+\newcommand{\wbar}{\overline{w}}
+\newcommand{\what}{\widehat{w}}
+\newcommand{\wstar}{w^\ast}
+\newcommand{\wtilde}{\widetilde{w}}
+
+\newcommand{\integerset}{\mathbb{Z}}
+\newcommand{\naturalset}{\mathbb{N}}
+\newcommand{\realset}{\mathbb{R}}
+
+\newcommand{\betapdf}{P_{\mathrm{beta}}}
+\newcommand{\betacdf}{F_{\mathrm{beta}}}
+\newcommand{\gammapdf}{P_{\mathrm{gamma}}}
+\newcommand{\gammacdf}{F_{\mathrm{gamma}}}
+\newcommand{\normalpdf}{\cN}
+\newcommand{\normalcdf}{F_{\cN}}
+\newcommand{\unifpdf}[2]{\mathrm{U}_{[#1, #2]}}
+\newcommand{\unifcdf}[2]{F_{\mathrm{U}_{[#1, #2]}}}
+
+\newcommand{\convexhull}[1]{\mathrm{Conv\left[#1\right]}}
+\newcommand{\domain}[1]{\mathrm{Dom\left[#1\right]}}
+\newcommand{\range}[1]{\mathrm{Rng\left[#1\right]}}
+\newcommand{\Parents}{\mathsf{Par}}
+
+\newcommand{\lyapunov}{L}
+\newcommand{\lyapunovfactor}{\kappa}
+
+\newcommand{\abs}[1]{\left|#1\right|}
+\newcommand{\ceils}[1]{\left\lceil#1\right\rceil}
+\newcommand{\E}[2]{\mathbb{E}_{#1} \! \left[#2\right]}
+\newcommand{\Eabs}[2]{\mathbb{E}_{#1} \! \abs{#2}}
+\newcommand{\floors}[1]{\left\lfloor#1\right\rfloor}
+\newcommand{\I}[1]{\mathds{1} \! \left\{#1\right\}}
+\newcommand{\intin}[2]{\int_{#1} \! \! \! #2 \ud #1}
+\newcommand{\maxnorm}[1]{\left\|#1\right\|_\infty}
+\newcommand{\maxnormw}[2]{\left\|#1\right\|_{\infty, #2}}
+\newcommand{\mode}[1]{\widehat{#1}}
+\renewcommand{\neg}[1]{\overline{#1}}
+\newcommand{\negpart}[1]{\left[#1\right]^-}
+\newcommand{\normw}[2]{\left\|#1\right\|_{#2}}
+\newcommand{\pospart}[1]{\left[#1\right]^+}
+\newcommand{\set}[1]{\left\{#1\right\}}
+\newcommand{\sgn}{\mathrm{sgn}}
+\newcommand{\subst}[2]{\left\{#1 = #2\right\}}
+\newcommand{\transpose}{^\mathsf{\scriptscriptstyle T}}
+\newcommand{\ud}{\, \mathrm{d}}
+\newcommand{\var}[2]{\mathrm{var}_{#1} \! \left[#2\right]}
-- 
cgit v1.2.3-70-g09d2

