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| − | My favourite theorem is by the mysterious Indian | + | My favourite theorem is by the mysterious Indian mathematician Ramanujan. He came up with the following infinite series for pi: |
:<math> \frac{1}{\pi} = \frac{2\sqrt{2}}{9801} \sum^\infty_{k=0} \frac{(4k)!(1103+26390k)}{(k!)^4 396^{4k}}.</math> | :<math> \frac{1}{\pi} = \frac{2\sqrt{2}}{9801} \sum^\infty_{k=0} \frac{(4k)!(1103+26390k)}{(k!)^4 396^{4k}}.</math> | ||
Latest revision as of 07:36, 30 August 2008
My favourite theorem is by the mysterious Indian mathematician Ramanujan. He came up with the following infinite series for pi:
- $ \frac{1}{\pi} = \frac{2\sqrt{2}}{9801} \sum^\infty_{k=0} \frac{(4k)!(1103+26390k)}{(k!)^4 396^{4k}}. $
