Wikipedia:Articles for deletion/A property of PI


 * The following discussion is an archived debate of the proposed deletion of the article below. Please do not modify it. Subsequent comments should be made on the appropriate discussion page (such as the article's talk page or in a deletion review).  No further edits should be made to this page.  

The result of the debate was delete. SushiGeek 03:32, 12 April 2006 (UTC)

A property of PI
The title is not informative. The property in the article is
 * $$ \frac{1}{1^2} + \frac{1}{3^2} + \frac{1}{5^2} + \frac{1}{7^2} + \cdots = \frac\pi8, $$

which is a trivial consequence of the result in Basel problem:
 * $$ \frac{1}{1^2} + \frac{1}{2^2} + \frac{1}{3^2} + \frac{1}{4^2} + \cdots = \frac\pi6. $$

Indeed,
 * $$ \frac{1}{1^2} + \frac{1}{3^2} + \frac{1}{5^2} + \frac{1}{7^2} + \cdots $$
 * $$ = \left( \frac{1}{1^2} + \frac{1}{2^2} + \frac{1}{3^2} + \frac{1}{4^2} + \cdots \right) - \left( \frac{1}{2^2} + \frac{1}{4^2} + \frac{1}{6^2} + \frac{1}{8^2} + \cdots \right) $$
 * $$ = \left( \frac{1}{1^2} + \frac{1}{2^2} + \frac{1}{3^2} + \frac{1}{4^2} + \cdots \right) - \frac14 \left( \frac{1}{1^2} + \frac{1}{2^2} + \frac{1}{3^2} + \frac{1}{4^2} + \cdots \right) = \frac34 \frac\pi6 = \frac\pi8. $$

I see no reason why we should have articles on every series which sums to &pi; or some expression involving &pi;. Wikipedia is not an indiscriminate collection of information. See also Talk:Pi. -- Jitse Niesen (talk) 03:37, 7 April 2006 (UTC)
 * Merge to Pi and see what they want to do with it there. If it's notable, then it'll stay. Certainly doesn't seem to deserve its own article.  Con  Dem Talk 03:52, 7 April 2006 (UTC) Delete per Jitse's comment.  Con  Dem Talk 06:11, 7 April 2006 (UTC)
 * Merge per Condem. Roy  boy cr ash  fan  [[Image:Flag of Texas.svg|30px]] 03:59, 7 April 2006 (UTC)
 * Comment. In fact, this was put in pi first and the discussion on Talk:Pi shows that two editors and myself think that it should be removed. -- Jitse Niesen (talk) 05:58, 7 April 2006 (UTC)
 * Delete The purpose of an encyclopedia is to explain. Articles should make their readers more intelligent. Now, math is not my strong suit, so this article makes absolutely no sense to me. If it were better explained, I would say merge it to Pi, but since its not, Im going to vote delete.--Pal5017 06:49, 7 April 2006 (UTC)
 * Delete per nom. Eusebeus 09:32, 7 April 2006 (UTC)
 * D. by making me think 'wtf' this article fails to explain itself.  James  Kendall   [talk] 11:31, 7 April 2006 (UTC)
 * delete  An infinite number of similar variations on the Basle problem could be posted, each one less helpful than the last. Kevin McE 11:53, 7 April 2006 (UTC)
 * Delete --Ter e nce Ong 13:04, 7 April 2006 (UTC)
 * Delete per nom Imarek 20:34, 7 April 2006 (UTC)
 * Delete. The nominator has proved his case. — Encephalon 22:35, 7 April 2006 (UTC)
 * Delete per above. --Khoikhoi 23:15, 7 April 2006 (UTC)
 * Delete per nom. Lambiam Talk 01:32, 8 April 2006 (UTC)
 * Comment. This can now be found in List of formulae involving Pi. Lambiam Talk 10:02, 8 April 2006 (UTC)
 * Delete per nom. --ManiF 17:22, 8 April 2006 (UTC)
 * Delete as trivial. Stifle (talk) 23:11, 8 April 2006 (UTC)


 * The above discussion is preserved as an archive of the debate. Please do not modify it. Subsequent comments should be made on the appropriate discussion page (such as the article's talk page or in a deletion review). No further edits should be made to this page.