(New page: 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_{...) |
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:<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> | ||
| − | Not only is it correct, but converges to pi | + | Not only is it correct, but converges to pi very rapidly too. This is my favourite theorem because it seems so absurd! |
Latest revision as of 08:44, 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}}. $
Not only is it correct, but converges to pi very rapidly too. This is my favourite theorem because it seems so absurd!
