On 18 Aug 2012, at 17:19, Roger wrote:

Hi Bruno Marchal

Yes, you can square the square root of any number to test its accuracy,
but there are a variety of algorithms used to calculate pi.

Which is correct ? See

http://en.wikipedia.org/wiki/Pi


The value obtained is assumed to be true if the infinite series
used to calculate pi converges. But I would think that
many if not most infinite series should
converge. Which one is the right one ? Is there a unique solution ?

Most series would not converge. In this case they all converge to Pi, as they have been designed for that. Some just converge more quickly than others.

Bruno


http://iridia.ulb.ac.be/~marchal/



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