wallis formula for pi found in quantum mechanics

Hi,

Neat story, linking a formula defining pi with a formula in quantum mechanics for the hydrogen atom:

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wallis formula for pi:

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cheers, Jamie

Reply to
Jamie M
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That is interesting, and somewhat coincides with my assertion that, on a physical level at least, the Heisenberg Uncertainty Principle may apply to the maximum precision to which PI might be calculated.

Paul

Reply to
P E Schoen

Perhaps in some physical circumstance. But in the pure math land, where's the tradeoff? (position vs. velocity, time vs. frequency, ...). Seems that it's just a matter of using a decent algorithm (some converging faster than others) and a long enough application of good arithmetic to get to any arbitrary level of precision. Of course, if your requirement is a googleplex of digits maybe you'll get to the heat death of the universe first (though the current

Reply to
Frank Miles

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