![]() | Mathematical constants by continued fraction representation was nominated for deletion. The discussion was closed on 8 March 2022 with a consensus to merge. Its contents were merged into List of mathematical constants. The original page is now a redirect to this page. For the contribution history and old versions of the redirected article, please see its history; for its talk page, see here. |
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any criterion for membership in this collection? kmath (talk) 01:22, 18 January 2014 (UTC)
The Tetranacci constant is defined as a particular root of a certain polynomial with integer coefficients. That should make the constant algebraic. Transcendental numbers are precisely those reals, which are not a root of any polynomial with rational coefficients. All the best Slubbert Slamberti (talk) 18:04, 28 January 2015 (UTC)
There is a small error in the definition of the Viswanath constant, it is said to be a certain limit where an = Fibonacci sequence, but, according to the Wolfram MathWorld entry [1], it is a certain limit which is obtained from a random Fibonacci-like sequence with probability one. Also, the en:s in the Vardi constant should be explained (they seem to be the Sylvester sequence). K9re11 (talk) 14:17, 12 August 2015 (UTC)
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The Journal of Smarandache-type notions is a bogus reference. Furthermore the link [19] goes to Eric Weinstein's Fourier Series article, not to that supposed Encyclopedia. See also Florentin Smarandache under the following link: [2]
Any comments? Mdob (talk) 18:47, 21 June 2018 (UTC)
Dear all, I'd like to move that the "graphics" column be removed as it doesn't add much usable information and clutters up the page. Cheers, Jam Jamgoodman (talk) 13:47, 31 March 2019 (UTC)
The criteria for inclusion is that the the constant must have been used in at least one published source. But what about the area of a circle with radius r=4? or r=7? or r=8? All of these circles have been used countless times in published sources but aren't included. What about arbitrary integers: 194 or 182? Or arbitrary values of common functions: sin(1) and tan(1/2)? These too have been used in many published sources but are missing from the list. Without having a bona fide reason to include or exclude constants, this list makes hardly any sense. I propose the following options:
The table really shouldn't be spilling over. It contains too many entries in both rows and columns. I propose that the table be split into rows by 'year of discovery' and that some of its columns (such as continued fraction and 'wolfram formula') be moved into separate articles or just deleted entirely. If the table contains too much information to actually be navigable, it becomes useless
I've made a list of improvements that I think can be made to the article and would like to hear other users' thoughts. If I hear no objections by May, I'll be implementing them:
Jamgoodman (talk) 10:03, 15 April 2019 (UTC)
I am unsure what constants merit inclusion in this article, but there is one that I am fond of that is missing. It is from Einar Hille's 1936 article A problem in "Factorisatio Numerorum". A positive integer can be factored into the product of integers greater than 1 in a number of ways. For instance, 12 can be written in eight distinct ways when the order of the factors matters: 12 = 6 × 2 = 4 × 3 = 3 × 4 = 3 × 2 × 2 = 2 × 6 = 2 × 3 × 2 = 2 × 2 × 3. In some cases a large number n can be written in nρ ways where ρ = ζ−1(2) ≈ 1.72 and ζ−1 is the inverse of the Riemann zeta function. This is the constant that I would like to see. 165.156.39.49 (talk) 14:44, 17 June 2019 (UTC)
The series given for the omega constant does not converge Is this intentional and/or should it be corrected? Ashorocetus (talk | contribs) 23:02, 8 May 2020 (UTC)
First off, I'd like to commend @Deacon Vorbis:, @XOR'easter:, and @Joel B. Lewis: for their help in cleaning up this article. It was a total mess before last year and it took many hours for me to disassemble it and remove fluff. I think for an article like this, it's easy to fill it with unnoteworthy examples since there are too many constants to include in a single article. I've detailed in (a previous section of this talk page) my suggestions for criteria for constants to be sufficiently notable to be included.
The reason I'd sorted the article by a "Year (of discovery)" column was to group the "same" (e.g., pi vs. 2pi) constants together. Sorting the article by the value of the constants means that these two constants would be far apart despite their obvious similarity (which made it harder to remove duplicates like these). Also, there needs to be a way of breaking apart the page and not having a ridiculously long list (e.g., by time-periods). However, the year of discovery of a lot of the constants here cannot be easily found, so I resorted to including the earliest date I could find of their mention (in all these cases, I'd included "Before" with the date). But this isn't an optimal solution since it relies on original research and the earliest date I find may not be anywhere close to the true date of discovery.
So, another way the page could be sorted would be alphabetically by the constant's name. However, this would rely on removing all un-named constants. If people could give their opinions on this decision, or provide alternative solutions, I urge them to contribute to the talk page. Many thanks, Jamgoodman (talk) 19:14, 18 June 2020 (UTC)
I don't like the cleanup of this article and I think it should just be a giant table again sorted by value of the constants. 63.227.221.214 (talk) 19:54, 24 May 2021 (UTC)
Supergolden ratio and silver ratio are missing. — Preceding unsigned comment added by Existent human being (talk • contribs) 12:43, 27 June 2021 (UTC)
This thrembo constant business is making me sick over the fact that I ever suggested that untrained hobbyists can make meaningful contributions to mathematics Thermboists haven't come up with an unambiguous definition, and the "formula they give, "1+1+1+1+1+1+Ϫ-6" if set to 0, since that's about all it could possibly mean implies the thrembo constant = Ϫ = the integer constant 0. Otherwise, there is noting defined there. So, mathematically, the way they use thermbo, it does not exist.Marvin Ray Burns (talk) 21:36, 23 January 2022 (UTC)
the Embree–Trefethen constant is missingÆæÆœŧ (talk) 13:11, 31 January 2022 (UTC)
I doubt organizing constants by discovery date is that useful anymore. — Preceding unsigned comment added by Atavoidturk (talk • contribs) 16:10, 16 March 2022 (UTC)
I feel that organizing constants by discovery date is incredibly useful, and was one of my favourite parts about this page due to how extremely useful and educational that part of it was. I feel that the page is now lesser due to making it no longer share that information. I greatly dislike how it is now, given how little information it now communicates; only taking away and not adding; and how it now contradicts with the description of the page found in the introduction paragraph. I request that it at least have the dates of discovery added back in, don't want to have to search through the history tab to find the better version and get that information every time I need to look at it. comment from RandomAccount000. Not sure how to sign, just made this account because I feel it is important enough to warrant making one. I apologize for being disrespectful, I just don't see the purpose behind this massive change. — Preceding unsigned comment added by RandomAccount000 (talk • contribs) 00:07, 22 March 2022 (UTC)
My proposed solution is to just combine everything into one giant table. This way we can avoid all issues regarding sorting. According to WP:TABDD, we shouldn't really be splitting up sortable tables. Combining everything into a single table will allow the user to use sorting feature, so they can freely sort the entire table according to how they want it to be, whether alphabetically, chronologically, by decimal value, or by set. —lightbulbMEOW!!! (meow) 13:01, 11 April 2022 (UTC)
I think that the cont frac representation should be in the main table. Atavoidturk (talk) 11:37, 13 April 2022 (UTC)
Hi, I noticed that a lot of the constants listed here actually have their dates wrong. I found sources for them that date back before the year listed in the table. I tried to correct all the ones I could find by using the sources listed on OEIS and MathWorld. This will also change the ordering of those constants on the table since they're sorted by year, so the table might look significantly changed. —lightbulbMEOW!!! (meow) 12:44, 14 April 2022 (UTC)
Didn't the old page for this, back before the cleanup started and it was just a big list, have images? Such as the lemniscate constant having an image depicting it and the paper folding constant having a gif of paper folding? For an example just pick any revision from 2016-2017. Edit: I'm also sure the constants had their continued fraction representation next to their value. 77551enpassant (talk) 17:45, 26 May 2022 (UTC)
Shouldn't the heading of that section read oeis.org instead of .com? — Preceding unsigned comment added by 2003:D2:2F0A:E600:468A:5BFF:FEA1:E695 (talk) 11:31, 1 June 2022 (UTC)
User:178.160.242.245 and i have gotten in a debate over the inclusion of tau Atavoidturk (talk) 17:09, 12 May 2023 (UTC)
Whenever I try to read this article, I get the error message "The maximum request time of 60 seconds was exceeded. [25573698-b423-40c2-bb44-5c2269687f78] 2023-08-01 15:45:39: Fatal exception of type "Wikimedia\RequestTimeout\RequestTimeoutException"" Lophotrochozoa (talk) 15:48, 1 August 2023 (UTC)