Added first notes related to Chapter 3. Trying to define addition.

[surreal-numbers] / notes / config.tex

\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
       \singlespacing
\usepackage{fancyhdr} % customize the header/footer
       \pagestyle{fancy}
       \fancyhf{}
       \fancyhead[L,RO]{\bfseries\thepage}
       \fancyhead[LO]{\bfseries Aaron Taylor - Surreal Numbers} 
       \renewcommand{\headrulewidth}{0.5pt} 
       \renewcommand{\footrulewidth}{0pt}
   \setlength{\headheight}{14pt}
       \fancypagestyle{plain}{% 
               \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}
       
% My commands
\newcommand{\sups}[1]{\ensuremath{^{\textrm{#1}}}}
\newcommand{\subs}[1]{\ensuremath{_{\textrm{#1}}}}
\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{\sgkadd}[0]{\ensuremath{\oplus}}
\newcommand{\horzline}[1][350]{\begin{center} \line(1,0){#1} \end{center}}
\renewcommand\maketitle{
       \thispagestyle{plain}
       \begin{center}
       \begin{large} \textbf{Personal Notes Regarding Surreal Numbers} \end{large} \\[1em]
       Aaron Taylor \\[1em]
       \end{center}
       \horzline
       }
\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
       \small
       \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}