deletions | additions       diff --git a/header.tex b/header.tex  index e69de29..6d94e76 100644  --- a/header.tex  +++ b/header.tex 
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\documentclass[12pt]{article}  \usepackage{amsmath, amsthm, amssymb, colonequals, algorithmic, algorithm, verbatim}  \usepackage{graphics, graphicx, url, color} %booktabs, float, setspace, datetime}  %\usepackage{soul}  %\usepackage[normalem]{ulem}  %\usepackage{cancel, subfig}  \usepackage{caption}  \usepackage{subcaption}  %datetime  % To get 1 inch margins; delete  \setlength{\oddsidemargin}{0in} \setlength{\textwidth}{6.5in}  \setlength{\textheight}{8.5in} \setlength{\topmargin}{-.2in}  \setlength{\headheight}{0in}  \setlength{\parskip}{10pt}  \setlength{\parindent}{0pt}  \theoremstyle{plain}  \newtheorem{proposition}{Proposition}  \newtheorem{lemma}{Lemma}  \newtheorem{thm}{Theorem}  \newtheorem{corollary}{Corollary}  \newtheorem{pro}[thm]{Property}  \newtheorem{fac}[thm]{Fact}  \theoremstyle{definition}  \newtheorem{remark}{Remark}  \DeclareMathOperator*{\argmin}{arg\,min}  \newcommand{\barU}{\overline{\mathcal{U}}}  \newcommand{\ld}{\lambda}  \newcommand{\und}{\underline}  \newcommand{\RED}{\color{red}}  \newcommand{\BLUE}{\color{blue}}  \allowdisplaybreaks[1]