Talk:Period (algebraic geometry)
 | This article is rated Start-class on Wikipedia's content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
| |||||||||||
Period of digit 5[edit]
I want to know the period of digit 5 in the number 2546789378 both in Indian number system as well as in International Number System. — Preceding unsigned comment added by 59.93.221.129 (talk) 16:41, 11 June 2008 (UTC)
definable[edit]
Are all periods necessarily definable numbers? Tkuvho (talk) 18:58, 29 July 2010 (UTC)
- Yes. It's even written in the article.—Emil J. 10:54, 4 August 2010 (UTC)
- Never mind, I didn't notice it was you who put it there. But anyway it's true (and it's much easier to see directly than via computability of the numbers).—Emil J. 10:59, 4 August 2010 (UTC)
- You mean, it is definable because it is defined by an integral? What argument did you have in mind? Tkuvho (talk) 12:01, 4 August 2010 (UTC)
- Because it is defined by an integral, and because the integrated function is itself definable, which in turn follows from definability of every rational.—Emil J. 12:15, 4 August 2010 (UTC)
- Why wouldn't that prove computability, as well? Tkuvho (talk) 12:19, 4 August 2010 (UTC)
- Proving that volume of a given semialgebraic set (which is what the definition of a period actually calls for, it's not really an integral) can be approximated to an arbitrary given accuracy by an algorithm is nontrivial, or at least quite tedious. The obvious algorithm is to count the lattice points in the set, but then you have to prove (computable) estimates on how fine a lattice suffices to get the answer with the wanted accuracy.—Emil J. 13:53, 4 August 2010 (UTC)
- Why wouldn't that prove computability, as well? Tkuvho (talk) 12:19, 4 August 2010 (UTC)
- Because it is defined by an integral, and because the integrated function is itself definable, which in turn follows from definability of every rational.—Emil J. 12:15, 4 August 2010 (UTC)
- You mean, it is definable because it is defined by an integral? What argument did you have in mind? Tkuvho (talk) 12:01, 4 August 2010 (UTC)
- Never mind, I didn't notice it was you who put it there. But anyway it's true (and it's much easier to see directly than via computability of the numbers).—Emil J. 10:59, 4 August 2010 (UTC)
π[edit]
Let it be provided prove, why π should be included here or not included. If you can not do it with π, please do it with some other number, and ask someone who know about π to come here and give more information in the article about π. I feel emotionally that π shouldn't be here, but it is included in the article. Thank you for your cooperation. — Preceding unsigned comment added by 46.10.229.1 (talk) 11:34, 16 September 2014 (UTC)
- I'm not quite sure what you're asking. π is a period because it is the area of the unit circle. The best place for more information on periods is Kontsevich and Zagier's original paper. Ozob (talk) 14:07, 16 September 2014 (UTC)
Requested move 27 March 2020[edit]
- The following is a closed discussion of a requested move. Please do not modify it. Subsequent comments should be made in a new section on the talk page. Editors desiring to contest the closing decision should consider a move review after discussing it on the closer's talk page. No further edits should be made to this discussion.
The result of the move request was: page moved to Period (algebraic geometry). (closed by non-admin page mover) GeoffreyT2000 (talk) 18:11, 27 April 2020 (UTC)
Ring of periods → Period (integral) – The article is mostly about individual periods, not the set of periods as a whole, though I'm not sure which disambiguator is best. Consistency with articles on other number systems. –LaundryPizza03 (dc̄) 17:26, 27 March 2020 (UTC)—Relisted. – Ammarpad (talk) 18:58, 5 April 2020 (UTC) —Relisting. buidhe 20:36, 18 April 2020 (UTC)
- How about Period (algebraic geometry)? Disambiguation by subfield is relatively common. -- King of ♥ ♦ ♣ ♠ 05:18, 20 April 2020 (UTC)
- The discussion above is closed. Please do not modify it. Subsequent comments should be made on the appropriate discussion page. No further edits should be made to this discussion.