prop-618/docs/prologue.tex

% -*- coding: utf-8; mode: LaTeX; tab-width: 4 -*-

% Prologue for doc/paper/*.tex.

\input{margins}
\usepackage[utf8]{inputenc}
\usepackage[nottoc,notbib]{tocbibind} % to put the bibliography in the toc
\usepackage[square,comma,numbers,sort&compress]{natbib} % before hyperref
\usepackage{chapterbib}
\usepackage[pdfpagelabels,pdfpagemode=None,backref=page,pagebackref=true,colorlinks=true,bookmarks=true,bookmarksnumbered=true]{hyperref}
\usepackage{parskip}
\usepackage{mathptmx} % newtx is not available to me yet
\usepackage[english]{babel}
\usepackage{graphicx} % anything beyond pure text requires this
\usepackage[centertags,sumlimits,nointlimits,reqno]{amsmath}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{amsxtra}
\usepackage{bm}
\usepackage{amsthm} % for newtheorem*
\usepackage{engord}
\usepackage{mathtools}
\usepackage{verbatim}
\usepackage{rotating}
\usepackage{makeidx}
\usepackage{idxlayout} % http://tex.stackexchange.com/a/30286
\makeindex
\newcommand{\inindex}[1]{#1\index{#1}}
\newcommand{\inindexsub}[2]{#2\index{#1!#2}}

\usepackage{todo}
\renewcommand{\todoformat}{\bfseries\color{NavyBlue}}
\renewcommand{\todomark}{todo}

\DeclarePairedDelimiter{\ceil}{\lceil}{\rceil}
\DeclarePairedDelimiter{\floor}{\lfloor}{\rfloor}
\DeclareMathAlphabet{\mathup}{OT1}{\familydefault}{m}{n}

\newcommand{\pfrac}[2]{\frac{\partial #1}{\partial #2}}
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\newcommand{\mbeq}{\overset{!}{=}}
\newcommand{\wedgeseq}{\wedge\ldots\wedge}
\newcommand{\imag}{\mathup{i}}
\newcommand{\jmag}{\mathup{j}}
\newcommand{\inner}[1]{\langle #1 \rangle}

\newcommand{\figref}[1]{fig.~\ref{#1}}
\newcommand{\Figref}[1]{Fig.~\ref{#1}}
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\newcommand{\src}[1]{\emph{#1}}
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\newcommand{\cross}{\times}
\DeclareMathOperator{\odd}{odd}
\DeclareMathOperator{\Cos}{c}
\DeclareMathOperator{\Sin}{s}
\DeclareMathOperator{\sinc}{sinc}
\renewcommand{\exp}[1]{\mathup{e}^{#1}}

% Principal value integrals.
\def\Xint#1{\mathchoice
   {\XXint\displaystyle\textstyle{#1}}%
   {\XXint\textstyle\scriptstyle{#1}}%
   {\XXint\scriptstyle\scriptscriptstyle{#1}}%
   {\XXint\scriptscriptstyle\scriptscriptstyle{#1}}%
   \!\int}
\def\XXint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$}
     \vcenter{\hbox{$#2#3$}}\kern-.5\wd0}}
\def\ddashint{\Xint=}
\def\dashint{\Xint-}

\renewcommand{\Re}{\operatorname{Re}}
\renewcommand{\Im}{\operatorname{Im}}
\DeclareMathOperator{\laplacian}{\Delta}
\DeclareMathOperator{\diff}{d}
\DeclareMathOperator{\codiff}{d^*}
\DeclareMathOperator{\lapb}{\Delta} % Laplace-Beltrami
\DeclareMathOperator{\hodge}{\star}
\DeclareMathOperator{\diag}{diag}
%% \DeclareMathOperator{\trace}{trace}
%% \newcommand{\trace}[2]{\operatorname{tr}_{#1}}
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\DeclareMathOperator{\dom}{dom}
\DeclareMathOperator{\rot}{curl}
\DeclareMathOperator{\curl}{curl}
\DeclareMathOperator{\divg}{div}
\DeclareMathOperator{\grad}{grad}
\DeclareMathOperator{\rotp}{\nabla^\prime\times}
\DeclareMathOperator{\curlp}{\nabla^\prime\times}
\DeclareMathOperator{\divgp}{\nabla^\prime\cdot}
\DeclareMathOperator{\gradp}{\nabla^\prime}
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\DeclareMathOperator{\dimension}{dim}
\DeclareMathOperator{\conv}{\ast}
\DeclareMathOperator{\card}{\#}
\DeclareMathOperator{\sign}{sign}
\DeclareMathOperator{\vol}{vol}

\selectlanguage{english}

% https://tex.stackexchange.com/a/425603
\let\counterwithout\relax
\let\counterwithin\relax
\usepackage{chngcntr}

\setcounter{secnumdepth}{5}
\counterwithout{paragraph}{subsubsection}
\counterwithout{paragraph}{subsection}
\counterwithout{paragraph}{section}
% todo Would like a dot here but not on \ref{}.
\renewcommand{\theparagraph}{\S\arabic{paragraph}}

\newcommand{\curlyle}{\preccurlyeq}
\newcommand{\curlyge}{\succcurlyeq}
\newcommand{\curlylt}{\precc}
\newcommand{\curlygt}{\succ}
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\DeclareMathOperator{\avgpow}{avgpow}

\newtheorem{problem}{Problem}
\hypersetup{citecolor=Maroon}
\setlength{\skip\footins}{5mm}