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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