\documentclass[11pt,english
]{article
}
% Packages to include, options to set
\usepackage[top=
3.3cm, bottom=
2.8cm, left=
2.8cm, right=
2.8cm
]{geometry
} % for when I feel a burning need to change the margins
\usepackage[authoryear,square
]{natbib
} % superscript citations
\usepackage{graphicx} % to allow \includegraphics
\usepackage[margin=
10pt,labelfont=bf,labelsep=period
]{caption
} % to match the thrice damned chem department document standards. why do they hate me so much?
\usepackage{amsmath, amssymb, amsthm
} % for math stuff
\usepackage{setspace
} % easily set spacing of entire document
\usepackage{fancyhdr
} % customize the header/footer
\fancyhead[L,RO
]{\bfseries\thepage}
\fancyhead[LO
]{\bfseries Aaron Taylor - Surreal Numbers
}
\renewcommand{\headrulewidth}{0.5pt
}
\renewcommand{\footrulewidth}{0pt
}
\setlength{\headheight}{14pt
}
\fancyhead{} % get rid of headers on plain pages
\renewcommand{\headrulewidth}{0pt
}} % and the line
\usepackage{fancyvrb
} %allow inclusion of external ASCII text files with \VerbatimInput{filename}
\usepackage{indentfirst
} %indent the first paragraph after a \section (or \subsection), contrary to standard LaTeX behaviour
\setcounter{secnumdepth
}{0} % remove numbering from sections while still allowing them to appear in the ToC
\setlength{\columnsep}{1cm
} % for middle column separation in two column mode
\usepackage{hyperref
} % create hyperlinks in PDF docs via \url{}, can also color all types of links, including internal links
\hypersetup{colorlinks=true, allcolors=black
} % enable link coloring, set default to black (later options take precedence)
\hypersetup{urlcolor=blue, linkcolor=blue
} % change url color to blue
\hypersetup{bookmarksopen=true
} % enable sidebar bookmarks in PDF mode based on \[sub]section labels and expand by default
\renewcommand{\arraystretch}{1.2} % I feel like most arrays/tables/etc in LaTeX could use a bit more room between cells
\usepackage{framed,
color}
\newcommand{\sups}[1]{\ensuremath{^
{\textrm{#1}}}}
\newcommand{\subs}[1]{\ensuremath{_
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\newcommand{\abs}[1]{\left|
#1\right|
}
\newcommand{\surreal}[2]{\ensuremath{\left\langle #1 \vert #2 \right\rangle}}
\newcommand{\similar}[0]{\thicksim}
\newcommand{\set}[1]{\ensuremath{\
{\,
#1\,\
}}}
\newcommand{\horzline}[1][350]{\begin{center
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1,
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{#1} \end{center
}}
\begin{large
} \textbf{Personal Notes Regarding Surreal Numbers
} \end{large
} \\
[1em
]
\renewcommand*
{\vec}[1]{\ensuremath{{\bf#1}}}
\newcommand*
{\norm}[1]{\ensuremath{\left\lVert#1 \right\rVert}}
\newcommand*
{\ip}[1]{\ensuremath{\langle#1\rangle}}
\renewcommand*
{\emph}[1]{\textbf{#1}}
\newcommand\makeAbstract{%
\begin{center
}\textbf{Abstract
}\end{center
}
\begin{list
}{}{\leftmargin=
6em
\rightmargin=
\leftmargin}\item\relax
\blindtext % replace blindtext with text of abstract
\end{list
}\par\vspace{6mm
}%
\theoremstyle{definition
}
\newtheorem{defi
}{Definition
}
\newtheorem{axiom
}{Axiom
}
\newtheorem{theorem
}{Theorem
}
\newtheorem{lemma
}[theorem
]{Lemma
}
\newtheorem{problem
}{Problem
}