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Benedict Irwin edited Random.tex
over 9 years ago
Commit id: 0107e000a4c9dfa5187afcba60f058350e1fd6e9
deletions | additions
diff --git a/Random.tex b/Random.tex
index 18aefd5..ff13cb0 100644
--- a/Random.tex
+++ b/Random.tex
...
\sum_{i=-\infty}^{\infty} (-1)^i\prod_{j=-\infty}^\infty\frac{x-j\pi}{i\pi-j\pi} = cos(x)
\end{equation}
If \begin{equation}
\sum_{n=0}^\infty n = \frac{-1}{12}
\end{equation}
Does \begin{equation}
\prod_{n=0}^\infty x^n = \frac{1}{\sqrt[12]{x}}
\end{equation}
Is there something special about $12$ then, such that \begin{equation}
\prod_{n=0}^{\infty}\frac{e^{12n}}{n!} = 1
\end{equation}