- #1
ClamShell
- 221
- 0
Anybody think this identity is not super-cool?
\begin{eqnarray}
\frac {1} {1-x} =
(1+x) \prod_{n=1} ^{\infty}
[ \frac {(1+x^{2^n})} {(1-x^{2^n})} ]^{2^{-n}} , {\;}
for {\;} 0{\le}x<1
\nonumber
\end{eqnarray}
\begin{eqnarray}
\frac {1} {1-x} =
(1+x) \prod_{n=1} ^{\infty}
[ \frac {(1+x^{2^n})} {(1-x^{2^n})} ]^{2^{-n}} , {\;}
for {\;} 0{\le}x<1
\nonumber
\end{eqnarray}