Analytical Characterization of Single Wall Carbon Nanotubes

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[math] \begin{equation} x = a_0 + \cfrac{1}{a_1 + \cfrac{1}{a_2 + \cfrac{1}{a_3 + \cfrac{1}{a_4} } } } +1sin (x) + \lim_{x \to \infty} \exp(-x) = 0 \frac{n!}{k!(n-k)!} = \binom{n}{k} \end{equation} [/math]

\left(\!

   \begin{array}{c}
     n \\
     r
   \end{array}
 \!\right) = \frac{n!}{r!(n-r)!}