From d2f62d848bf0f499432446acb6ae118a2d656f60 Mon Sep 17 00:00:00 2001 From: unknown 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