Talk:Pi (mathematical constant)/Proofs/An elementary proof that 22 over 7 exceeds π: Difference between revisions
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:Although specific, this result is quite famous and has inspired further research. Besides the paper by Lucas mentioned in the article, F. Beukers notably found a [http://www.math.leidenuniv.nl/~naw/serie5/deel01/dec2000/pdf/beukers.pdf generalization] that not only produces a sequence of rational approximations of π, but also provides an irrationality measure for π. [[User:Fredrik Johansson|Fredrik Johansson]] 17:02, 14 August 2007 (CDT) | :Although specific, this result is quite famous and has inspired further research. Besides the paper by Lucas mentioned in the article, F. Beukers notably found a [http://www.math.leidenuniv.nl/~naw/serie5/deel01/dec2000/pdf/beukers.pdf generalization] that not only produces a sequence of rational approximations of π, but also provides an irrationality measure for π. [[User:Fredrik Johansson|Fredrik Johansson]] 17:02, 14 August 2007 (CDT) | ||
I agree. [[Approximations to π]] is a far broader topic. I was so bold in the initial draft of article as to call this "startling and elegant" and I think that justifies it as a separate article. An article on [[approximations to π]] would be rather different in spirit. [[User:Michael Hardy|Michael Hardy]] 17:37, 14 August 2007 (CDT) | |||
Revision as of 17:37, 14 August 2007
Title
Can we call this article "Approximations of Pi" and list all modern approximations; this seems awfully specific and targetted.--Robert W King 15:03, 14 August 2007 (CDT)
- Although specific, this result is quite famous and has inspired further research. Besides the paper by Lucas mentioned in the article, F. Beukers notably found a generalization that not only produces a sequence of rational approximations of π, but also provides an irrationality measure for π. Fredrik Johansson 17:02, 14 August 2007 (CDT)
I agree. Approximations to π is a far broader topic. I was so bold in the initial draft of article as to call this "startling and elegant" and I think that justifies it as a separate article. An article on approximations to π would be rather different in spirit. Michael Hardy 17:37, 14 August 2007 (CDT)