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I'd like to put some of the more clearly algebraic features of quadratic irrational numbers in the other article … things like the fact that the integral domain formed by adjoining the (irrational) square root of a positive integer to the integers is not a unique factorization domain. I'd kind of
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should be merged because they are closely related, as seen in your list above. I also think the article as it stands needs to be slimmed down a bit; since this is
Knowledge, and we have Wikilinks, we don't need to repeat the full definition of a continued fraction, of a quadratic surd, etc.
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I'm sorry if I ruffled your feathers, Macrakis. It's just that it's kind of upsetting, to me, to have people slapping templates on articles that are clearly still under construction. I've even been hit by a "PROD" tag within three minutes after I started to write a new article! That was no
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one way or the other. I was just planning to work on both articles, and since I've been reading
Rockett and Szüsz recently, this one was easier to write. Oh -- I did notice one other thing. "Periodic continued fraction" has been on the list of
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Anyway, if you can see a good way to tighten this up, please go for it. I aim to write for the reader with little mathematical sophistication, so I probably do get more long-winded than I ought to be.
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Someone put a "verification required" tag on the sqrt(2). In fact it follows from the section on quadratic irrationals, but I thought I'd make the expression explicit at the same time.
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Add a section about the fact that the repeating block in the regular continued fraction expansion of every reduced quadratic surd contains a palindromic string.
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I'd appreciate it if you wouldn't qualify me as "you tagger(s)". :-) I'm interested in CFs and happy to see good content on them. I still think that
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Add an example illustrating the construction of the regular continued fraction expansion of one or two particular quadratic irrational numbers.
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But it makes no sense to tell this to the reader when the phrase "regular continued fraction" has not been previously defined in this article
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289:'s failed attempt to prove Fermat's last theorem, but I need to rustle up a couple of good references first, to refresh my memory.
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There is a need to clarify the need for Q to divide the quantity P²−D and to use examples such as (3+√2)/2.
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Today I wrote an initial version of this article. I intend to expand it along the following lines.
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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Add a section about bounds on the partial quotients in a periodic continued fraction.
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If anyone else is interested in this stuff, I welcome your collaboration.
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Since all the partial numerators in a regular continued fraction . . .
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One reads: a perfect square, and Q divides the quantity P² − D
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I don't have a real strong opinion about merging this into
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does the article contain any clear link to its definition.
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Problem with use of phrase "regular continued fraction"
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Add a section about the length of the repeating block.
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109:and see a list of open tasks.
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257:periodic continued fraction
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371:regular continued fraction
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401:10:38, 16 June 2014 (UTC)
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351:2001:6B0:E:4040:0:0:0:114
304:Have a great day! ;^: -->
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