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header.tex
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\usepackage{amsmath}
\usepackage{bm}
\usepackage{placeins}
\usepackage{color}
\usepackage{array,multirow,graphicx}
\newcommand{\vmu}{\mbox{\boldmath{$\mu$}}}
\newcommand{\vR}{\mbox{\boldmath{$R$}}}
\newcommand{\vpsi}{\mbox{\boldmath{$\psi$}}}
\newcommand{\vZ}{\mbox{\boldmath{$Z$}}}
\newcommand{\vX}{\mbox{\boldmath{$X$}}}
\newcommand{\vY}{\mbox{\boldmath{$Y$}}}
\newcommand{\vz}{\mbox{\boldmath{$z$}}}
\newcommand{\vr}{\mbox{\boldmath{$r$}}}
\newcommand{\vx}{\mbox{\boldmath{$x$}}}
\newcommand{\vk}{\mbox{\boldmath{$k$}}}
\newcommand{\vp}{\mbox{\boldmath{$p$}}}
\newcommand{\vv}{\mbox{\boldmath{$v$}}}
\newcommand{\vg}{\mbox{\boldmath{$g$}}}
\newcommand{\vbeta}{\mbox{\boldmath{$\beta$}}}
\newcommand{\vone}{\mbox{\boldmath{$1$}}}
\newcommand{\vep}{\mbox{\boldmath{$\epsilon$}}}
\newcommand{\veta}{\mbox{\boldmath{$\eta$}}}
\newcommand{\vl}{\mbox{\boldmath{$l$}}}
\newcommand{\ve}{\mbox{\boldmath{$e$}}}
\newcommand{\va}{\mbox{\boldmath{$a$}}}
\newcommand{\vb}{\mbox{\boldmath{$b$}}}
\newcommand{\vPsi}{\mbox{\boldmath{$\Psi$}}}
\newcommand{\mSigma}{\mbox{\bm{$\Sigma$}}}
\newcommand{\mI}{\mbox{\textbf{I}}}
\newcommand{\mX}{\mbox{\textbf{X}}}
\newcommand{\mM}{\mbox{\textbf{M}}}
\newcommand{\mL}{\mbox{\textbf{L}}}
\newcommand{\mW}{\mbox{\textbf{W}}}
\newcommand{\mB}{\mbox{\textbf{B}}}
\newcommand{\mOmega}{\mbox{\textbf{\Omega}}}
\newcommand{\mV}{\mbox{\textbf{V}}}
\newcommand{\mS}{\mbox{\textbf{S}}}
\newcommand{\mU}{\mbox{\textbf{U}}}
\newcommand{\mC}{\mbox{\textbf{C}}}
\newcommand{\mE}{\mbox{\textbf{E}}}
\DeclareMathOperator*{\E}{\mathbb{E}}
\DeclareMathOperator*{\V}{\mathbb{V}}
\newcommand{\maxu}[1]{\raisebox{0.5ex}{\scalebox{0.8}{$\displaystyle \max_{#1}\;$}}}
\newcommand{\rc}{\color{red}}
\newcommand{\bc}{\color{black}}
\newcommand{\blc}{\color{blue}}
\newcommand{\gc}{\color{green}}