258 lines
8.0 KiB
TeX
258 lines
8.0 KiB
TeX
\ProvidesPackage{echodefs}
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%-----------------------------------------------------------------------------
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% PROCESS PACKAGE OPTIONS
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%-----------------------------------------------------------------------------
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\DeclareOption{matit}{
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\providecommand{\vect}[1]{\ensuremath{\bm{{#1}}}}
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\providecommand{\mat}[1]{\ensuremath{\bm{{#1}}}}
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}
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\DeclareOption{matnotit}{
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\providecommand{\vect}[1]{\ensuremath{\mathbf{#1}}}
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\providecommand{\mat}[1]{\ensuremath{\mathbf{#1}}}
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}
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\ExecuteOptions{matit}
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\ProcessOptions\relax
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%-----------------------------------------------------------------------------
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% EXTERNAL PACKAGES
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%-----------------------------------------------------------------------------
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% Common commands and definitions
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\RequirePackage{amsmath}
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\RequirePackage{amssymb}
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\RequirePackage{amsthm}
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\RequirePackage{latexsym}
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\RequirePackage{verbatim}
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\RequirePackage{graphicx}
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\RequirePackage{algorithm}
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\RequirePackage{algpseudocode}
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\RequirePackage{enumerate}
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\RequirePackage{bm}
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\RequirePackage{hyperref}
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\RequirePackage{mathtools}
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% \RequirePackage{xcolor}
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\RequirePackage{tikz}
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\RequirePackage[framemethod=tikz]{mdframed}
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\RequirePackage{multicol}
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%-----------------------------------------------------------------------------
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% CUSTOM ENVIRONMENTS
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%-----------------------------------------------------------------------------
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\newtheorem{theorem}{Theorem}
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% \newtheorem{proposition}{Proposition}
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\newtheorem{lemma}{Lemma}
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\newtheorem{corollary}{Corollary}
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\newtheorem{proposition}{Proposition}
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\newtheorem{problem}{Problem}
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\newtheorem{definition}{Definition}
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% \newenvironment{eqali}{
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% \begin{equation}
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% \begin{aligned}
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% }
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% {
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% \end{aligned}
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% \end{equation}
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% }
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%-----------------------------------------------------------------------------
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% REFERENCING AND CITING COMMANDS
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%-----------------------------------------------------------------------------
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\providecommand{\eref}[1]{\eqref{eq:#1}}
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\providecommand{\cref}[1]{Chapter~\ref{chap:#1}}
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\providecommand{\sref}[1]{Section~\ref{sec:#1}}
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\providecommand{\fref}[1]{Figure~\ref{fig:#1}}
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\providecommand{\sfref}[1]{Fig.~\ref{subfig:#1})}
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\providecommand{\tref}[1]{Table~\ref{tab:#1}}
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\providecommand{\aref}[1]{Algorithm~\ref{alg:#1}}
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\providecommand{\lref}[1]{Lemma~\ref{lem:#1}}
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\providecommand{\thref}[1]{Theorem~\ref{thm:#1}}
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%-----------------------------------------------------------------------------
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% SET SYMBOLS
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%-----------------------------------------------------------------------------
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\providecommand{\RR}{\ensuremath{\mathbb{R}}}
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\providecommand{\CC}{\ensuremath{\mathbb{C}}}
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\providecommand{\NN}{\ensuremath{\mathbb{N}}}
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\renewcommand{\SS}{\ensuremath{\mathbb{S}}}
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\providecommand{\ZZ}{\ensuremath{\mathbb{Z}}}
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\providecommand{\PP}{\ensuremath{\mathbb{P}}}
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\providecommand{\QQ}{\ensuremath{\mathbb{Q}}}
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\providecommand{\EE}{\ensuremath{\mathbb{E}}}
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%-----------------------------------------------------------------------------
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% MATH MACROS
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%-----------------------------------------------------------------------------
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\providecommand{\abs}[1]{{\left|#1\right|}}
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\providecommand{\norm}[1]{\left\lVert#1\right\rVert}
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\providecommand{\expect}[1]{\mathbb{E}\left[#1\right]}
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\providecommand{\bignorm}[1]{\left\lVert#1\right\rVert}
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\providecommand{\inprod}[1]{\left\langle#1\right\rangle}
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\providecommand{\set}[1]{\left\{#1\right\}}
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\providecommand{\seq}[1]{\left<#1\right>}
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\providecommand{\bydef}{\overset{\text{def}}{=}}
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\providecommand{\diag}{\mathop{\mathrm{diag}}}
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\providecommand{\rank}{\mathop{\mathrm{rank}}}
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\providecommand{\conv}{\ast}
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\providecommand{\circonv}[1]{\circledast_{#1}}
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\providecommand{\parder}[2]{{\partial{#1} \over \partial{#2}}}
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\providecommand{\parderr}[2]{{\partial^2{#1} \over \partial{#2}^2}}
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\providecommand{\Rint}{\int_{\R}}
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\providecommand{\di}{\ensuremath{\mathrm{d}}}
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\providecommand{\e}{\ensuremath{\mathrm{e}}}
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\providecommand{\I}{\ensuremath{\mathrm{j}}}
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\providecommand{\epi}[1]{\e^{\hspace{1pt}\I{#1}}}
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\providecommand{\eni}[1]{\e^{-\I{#1}}}
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\providecommand{\T}{\ensuremath{T}}
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\providecommand{\rect}{\ensuremath{\mathrm{rect}}}
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\providecommand{\tri}{\ensuremath{\mathrm{tri}}}
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\providecommand{\sign}{\ensuremath{\mathrm{sign}}}
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\DeclareMathOperator*{\argmin}{arg\,min}
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\DeclareMathOperator*{\argmax}{arg\,max}
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\DeclareMathOperator*{\minimize}{minimize}
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\DeclareMathOperator*{\maximize}{maximize}
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% Functions
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\providecommand{\tri}{\ensuremath{\mathrm{tri}}}
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% Vector analysis
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% \renewcommand{\div}{\nabla} % Conflicts with mathabx
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\providecommand{\grad}{\nabla}
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% Some calligraphic letters
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\providecommand{\calS}{\mathcal{S}}
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\providecommand{\calP}{\mathcal{P}}
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\providecommand{\calR}{\mathcal{R}}
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\providecommand{\calH}{\mathcal{H}}
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\providecommand{\calM}{\mathcal{M}}
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\providecommand{\calV}{\mathcal{V}}
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\providecommand{\calF}{\mathcal{F}}
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\providecommand{\calG}{\mathcal{G}}
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\providecommand{\calO}{\mathcal{O}}
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\providecommand{\calX}{\mathcal{X}}
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\providecommand{\calY}{\mathcal{Y}}
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\providecommand{\calL}{\mathcal{L}}
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\providecommand{\calJ}{\mathcal{J}}
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\providecommand{\calN}{\mathcal{N}}
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\providecommand{\calU}{\mathcal{U}}
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\providecommand{\calT}{\mathcal{T}}
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\providecommand{\calI}{\mathcal{I}}
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\providecommand{\calC}{\mathcal{C}}
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\providecommand{\calD}{\mathcal{D}}
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%-----------------------------------------------------------------------------
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% MATRICES AND VECTORS
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%-----------------------------------------------------------------------------
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\providecommand{\wh}[1]{\ensuremath{\widehat{#1}}}
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\providecommand{\wt}[1]{\ensuremath{\widetilde{#1}}}
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\providecommand{\mA}{\mat{A}}
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\providecommand{\mB}{\mat{B}}
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\providecommand{\mC}{\mat{C}}
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\providecommand{\mD}{\mat{D}}
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\providecommand{\mE}{\mat{E}}
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\providecommand{\mF}{\mat{F}}
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\providecommand{\mH}{\mat{H}}
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\providecommand{\mI}{\mat{I}}
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\providecommand{\mJ}{\mat{J}}
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\providecommand{\mK}{\mat{K}}
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\providecommand{\mL}{\mat{L}}
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\providecommand{\mN}{\mat{N}}
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\providecommand{\mM}{\mat{M}}
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\providecommand{\mO}{\mat{O}}
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\providecommand{\mP}{\mat{P}}
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\providecommand{\mQ}{\mat{Q}}
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\providecommand{\mR}{\mat{R}}
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\providecommand{\mS}{\mat{S}}
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\providecommand{\mU}{\mat{U}}
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\providecommand{\mV}{\mat{V}}
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\providecommand{\mT}{\mat{T}}
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\providecommand{\mW}{\mat{W}}
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\providecommand{\mG}{\mat{G}}
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\providecommand{\mX}{\mat{X}}
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\providecommand{\mY}{\mat{Y}}
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\providecommand{\mZ}{\mat{Z}}
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\providecommand{\mGamma}{\mat{\Gamma}}
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\providecommand{\mPi}{\mat{\Pi}}
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\providecommand{\mSigma}{\mat{\Sigma}}
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\providecommand{\mOmega}{\mat{\Omega}}
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\providecommand{\mXi}{\mat{\Xi}}
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\providecommand{\mDelta}{\mat{\Delta}}
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\providecommand{\mLambda}{\mat{\Lambda}}
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\providecommand{\mPhi}{\mat{\Phi}}
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\providecommand{\va}{\vect{a}}
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\providecommand{\vb}{\vect{b}}
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\providecommand{\vc}{\vect{c}}
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\providecommand{\vd}{\vect{d}}
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\providecommand{\ve}{\vect{e}}
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\providecommand{\vf}{\vect{f}}
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\providecommand{\vE}{\vect{E}}
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\providecommand{\vF}{\vect{F}}
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\providecommand{\vg}{\vect{g}}
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\providecommand{\vh}{\vect{h}}
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\providecommand{\vk}{\vect{k}}
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\providecommand{\vm}{\vect{m}}
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\providecommand{\vn}{\vect{n}}
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\providecommand{\vl}{\vect{l}}
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\providecommand{\vp}{\vect{p}}
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\providecommand{\vq}{\vect{q}}
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\providecommand{\vr}{\vect{r}}
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\providecommand{\vs}{\vect{s}}
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\providecommand{\vt}{\vect{t}}
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\providecommand{\vu}{\vect{u}}
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\providecommand{\vw}{\vect{w}}
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\providecommand{\vU}{\vect{U}}
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\providecommand{\vx}{\vect{x}}
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\providecommand{\vy}{\vect{y}}
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\providecommand{\vz}{\vect{z}}
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\providecommand{\vi}{\vect{i}}
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\providecommand{\vj}{\vect{j}}
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\providecommand{\vv}{\vect{v}}
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\providecommand{\veta}{\vect{\eta}}
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\providecommand{\vchi}{\vect{\chi}}
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\providecommand{\vX}{\vect{X}}
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\providecommand{\vY}{\vect{Y}}
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\providecommand{\vgamma}{\vect{\gamma}}
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\providecommand{\vdelta}{\vect{\delta}}
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\providecommand{\vlambda}{\vect{\lambda}}
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\providecommand{\vmu}{\vect{\mu}}
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\providecommand{\vomega}{\vect{\omega}}
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\providecommand{\vsigma}{\vect{\sigma}}
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\providecommand{\vxi}{\vect{\xi}}
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\providecommand{\valpha}{\vect{\alpha}}
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\providecommand{\vphi}{\vect{\phi}}
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\providecommand{\vzero}{\vect{0}}
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\providecommand{\vone}{\vect{1}}
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% symbols with wide hats
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\providecommand{\whu}{\wh{u}} \providecommand{\whf}{\wh{f}}
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% symbols with wide tildas
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\providecommand{\w}{\omega}
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\endinput
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