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%% LaTeX Template by Peter Francis
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%% Contact: [email protected]
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%% Updated 9/17/18
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\documentclass[12PT]{article}
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%% Font and Language
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\usepackage[T1]{fontenc}
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\usepackage[utf8]{inputenc}
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\usepackage{lmodern}
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\usepackage[english]{babel}
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%% Formating the Page
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\usepackage[letter,top=1in,bottom=1in,left=1in,right=1in, marginparwidth=.5 in]{geometry}
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%\pagenumbering{gobble} %%% UNCOMMENT THIS LINE TO TURN OF PAGE NUMBERS
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%\usepackage[parfill]{parskip} %%% Activate to begin paragraphs with an empty line rather than an indent
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%% Line spacing -- change to 2 for double space, etc.
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\linespread{1.3}
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%% Some Useful Packages
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\usepackage{hyperref, amsmath, amsthm, pgf, latexsym, amsfonts, graphicx, enumerate, float, MnSymbol}
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%% Useful commands-- use the syntax \newcommand{\what you want to type}{real command}
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\newcommand{\N}{\mathbb{N}}
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\newcommand{\Z}{\mathbb{Z}}
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\newcommand{\R}{\mathbb{R}}
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\newcommand{\Q}{\mathbb{Q}}
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\newcommand{\dabba}{\partial}
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\newcommand{\e}{\epsilon}
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\newcommand{\bs}{\blacksquare}
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\newcommand{\lb}{\left\lbrace}
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\newcommand{\rb}{\right\rbrace}
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%% Title
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\title{Title}
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\author{Author}
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\begin{document}
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\maketitle
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%%%%%%%%%%%%%%%%%%%% TYPE BELOW %%%%%%%%%%%%%%%%%%%%%%
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\section*{'Problem Number (and name)'}
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Collaborators: Name, Name, Name\\
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\\
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Any introductory text goes here. If there is none, delete this line and the line below it.\\
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\\
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\textbf{Claim:} Your claim goes here.\\
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\textbf{Proof:} Your proof goes here. Math stuff that you want in the line of text goes in between single dollar signs. LOOK: $S=\{x\in\R:\forall a\in \N, \exists b\in \Z, \frac{x}{a-b}\in\Q\}$. Math stuff you want to put centered on its own line goes in between double dollar signs. Clearly,
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$$A\subseteq B\cap(C\cup D)\iff (A\subseteq B)\land ((A\subseteq C)\lor (A\subseteq D)).$$
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This is how you cite something \cite{ReferenceLabel1}.
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When you are done with your proof you get to make a solid or open square. $\bs$ $\square$
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\newpage
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\begin{thebibliography}{10} % THIS IS YOUR REFERENCES. LIST REFERENCES BELOW.
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%\bibitem{bela}B\'ela Bajnok, An Introduction to Abstract Mathmematics. Chapter 10, Mathematical Structures, Edition 1. (New York, Springer, 2013), pp. 112'
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%\bibitem{kennedy}Benjamin B Kennedy, Introduction to Real Analysis, Gettysburg College Course Text (Unpublished).
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%\bibitem{Lay}David C. Lay, Steven R. Lay, Judi J. McDonald, Linear Algebra and its application. Chapter 1, Linear Equations in Linear Algebra, Edition 5. (Pearson, 2016)
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%%% COMMENT THIS
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\bibitem{ReferenceLabel1}First MI Last, Title. Chapter A, Chapter name, Edition 'number'. (City, State, Publishing company, year Published), pp. 'number'-'number'
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%\bibitem{ReferenceLabel2}First MI Last, Title, WWW Document, URL
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%\bibitem{ReferenceLabel3}First MI Last, Title, 'Distributing College' Lab Handout (Unpublished).
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\end{thebibliography}
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\vfill
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I have upheld the highest principles of honesty and integrity in all of my academic work and have not witnessed a violation of the Honor Code.
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% \includegraphics[width=3cm]{signature} %%% UNCOMMENT IF YOU HAVE A signature.jpg IMAGE IN YOUR DIRECTORY
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%%%%%%%%%%%%%%%%%%%% TYPE ABOVE %%%%%%%%%%%%%%%%%%%%%%
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\end{document}