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preamble.tex
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%!TEX root = ./main.tex
\usepackage{graphicx}
\usepackage{tcolorbox}
\usepackage[margin=1in,top=0.8in, bottom = 0.8in]{geometry}
%%%%%%Packages%%%%%%%%%%%%%
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amsthm}
\usepackage{amssymb}
\usepackage{array}
\usepackage{comment}
\usepackage{enumitem}
\usepackage{graphicx}
\usepackage{hyperref}
\usepackage[utf8]{inputenc}
\usepackage{mathtools}
\usepackage{multicol}
\usepackage{tabto}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{setspace}
\usepackage[all]{xy}
\usepackage{thmtools}
\usepackage{MnSymbol,wasysym}
\usepackage{venndiagram}
\usepackage{listings}
\usetikzlibrary{decorations.pathmorphing,shapes}
%%%%Theorem Enviorment Setup%%%%%%%
\begin{comment}
\theoremstyle{definition}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{corollary}{Corollary}[theorem]
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{claim}[theorem]{Claim}
\newtheorem{definition}{Definition}[section]
\newtheorem{example}{Example}[section]
\newtheorem{remark}{Remark}[section]
\newtheorem{proposition}[theorem]{Proposition}
\end{comment}
\pgfplotsset{compat = 1.15}
%%%%%%%%%HyperLink Setup%%%%%%%%%%%
%
%%%%%%%%%%%%%%%Commands%%%%%%%%%%%%%%%%
\newcommand{\pml}{\begin{pmatrix}}
\newcommand{\pmr}{\end{pmatrix}}
\newcommand{\bml}{\left[ \begin{array}{ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc}}
\newcommand{\bmr}{\end{array} \right]}
\newcommand{\aml}{\left[ \begin{array}{rrr|r}}
\newcommand{\amr}{\end{array} \right]}
\newcommand{\vml}{\left\vert \begin{array}{rrrrrrrrrr}}
\newcommand{\vmr}{\end{array} \right\vert}
\renewcommand{\tab}{\hspace{1cm}}
\renewcommand{\b}{\mathbb}
\renewcommand{\c}{\mathcal}
\newcommand{\lb}{\left\{}
\newcommand{\rb}{\right\}}
\newcommand{\la}{\langle}
\newcommand{\ra}{\rangle}
\renewcommand{\bar}{\overline}
\newcommand{\ngroup}{\trianglelefteq}
\newcommand{\ver}{ \ | \ }
\renewcommand{\t}{\text}
\newcommand{\z}{\mathbb Z}
\renewcommand{\r}{\mathbb R}
\newcommand{\q}{\mathbb Q}
\newcommand{\ex}{\textbf{Example. }}
\renewcommand{\mod}[1]{\t{ (mod } {#1})}
\newcommand{\zz}[1]{\b Z/ {#1} \b Z}
\newcommand{\cg}[1]{\la {#1} \ra}
\newcommand{\li}[2]{{#1}_1,{#1}_2, \ldots, {#1}_{#2} }
\renewcommand{\v}{\vec}
\renewcommand{\t}{\tilde}
\newcommand{\spa}{\text{span}}
\newcommand{\lincomb}[3]{{#1}_1{#2}_1 + {#1}_2{#2}_2 + \cdots + {#1}_{#3}{#2}_{#3}}
\newcommand{\nul}{\text{Null }}
\newcommand{\col}{\text{Col }}
\newcommand{\range}{\text{Range }}
\newcommand{\itab}{\hspace{-0.25cm}}
\newcommand{\omicron}{o}
\renewcommand{\qedsymbol}{$\blacksquare$}
\renewcommand{\vec}{\mathbf}
\renewcommand{\Re}{\textrm{Re}}
\renewcommand{\Im}{\textrm{Im}}