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@dmerrick
Created January 28, 2010 01:53
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\documentclass[12pt]{amsart}
% this should add multiline comments
\usepackage{verbatim}
\usepackage{graphicx}
\begin{document}
\noindent
Dana Merrick \\
\today
\bigskip
\begin{enumerate}
\item The following is Tupper's Formula:
%
\[{1\over 2} < \left\lfloor \mathrm{mod}\left(\left\lfloor {y \over 17} \right\rfloor 2^{-17 \lfloor x \rfloor - \mathrm{mod}(\lfloor y\rfloor, 17)},2\right)\right\rfloor \]
%
\item Here it is graphed out:
\begin{figure}[h]
\resizebox{3in}{!}{\includegraphics{tupper.pdf}} \\
{Tupper's Formula}
\end{figure}
\item It is graphed over $0\leq x \leq 105$ and $n \leq y \leq n +16$ where
\begin{align*}
n = \,&
9609393799189588849716729621278527547150043396601293066515055192717028 \\
& 0239526642468964284217435071812126715378277062335599323728087414430789 \\
& 1325963941337723487857735749823926629715517173716995165232890538221612 \\
& 4032388558661840132355851360488286933379024914542292886670810961844960 \\
& 9170518345406782773155170540538162738096760256562501698148208341878316 \\
& 3849115590225610003652351370343874461848378737238198224849863465033159 \\
& 4100549747005931383392264972494617515457283667023697454610146559979337 \\
& 98537483143786841806593422227898388722980000748404719
\end{align*}
\end{enumerate}
\[ f'(x) = \lim_{h \to 0} {f(x+h) + f(x) \over h} \]
\bigskip
\begin{comment}
\begin{enumerate}
\item I am Dana Merrick.
\item This is the second item.
\item \qedsymbol
\item Here is another formula: $x+5=y-3$
\item Here is another formula in display mode:
\[ {x+1\over x+2} > 5 \]
\item $\mathbb{HELLO, WORLD}$.
\item
\begin{align*}
4(x+2)(x+3)
& = 4(x^2 + 2x + 3x + 6) \\
& = 4(x^2 + 5x + 6) \\
& = 4x^2 + 20x +24
\end{align*}
\item \LaTeX \,is cool.
\end{enumerate}
\end{comment}
\end{document}
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