Public feed #529036

Something

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·published 2007-06-01 19:32 UTC
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\documentclass[]{article}
\usepackage{amsmath}
\begin{document}
\begin{align*}
X' &>    \frac{m}{(d')^3 r^{k'} (k'+1)} \\
           &\geq \frac{m}{8 d^3 r^{k'} (k'+1)} \quad \text{(since $d' \leq 2d$)}\\
           &\geq \frac{m}{8 d^3 r^{k} (k+1)}   \quad \text{(since $d' > d$, implying $k' \leq k$)}\\
           &\geq \frac{m}{1 \; 2 \; 3 \; 4 \; 5 \; 6 \; 7 \; 8 \; 9 \; 10 \; 1 \; 2 \; 3 \; 4 \; 5 \; 6 \; 7 \; 8 \; 9 \; 10 \; } \\
\end{align*}
\end{document}