View source for Talk:Arithmetic–geometric mean

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== Suggested link ==
I suggest a link at the top of the article to redirect those looking
for the [[Inequality of arithmetic and geometric means]]. [[User:ThomasHales|ThomasHales]] ([[User talk:ThomasHales|talk]]) 00:13, 11 June 2018 (UTC)
:  the link is Already there at See Also at the bottom, no? [[User:Cuzkatzimhut|Cuzkatzimhut]] ([[User talk:Cuzkatzimhut|talk]]) 02:58, 11 June 2018 (UTC)

== Transcendental? ==
Is the AGM of 6 and 24 (given in the example), [[transcendental number|transcendental]]? More generally, is the AGM of two [[algebraic number]]s necessarily transcendental? If not, when is it transcendental and when is it not?--[[User:Solomonfromfinland|Solomonfromfinland]] ([[User talk:Solomonfromfinland|talk]]) 16:44, 7 December 2018 (UTC)

:{{re|Solomonfromfinland}} Article talk pages are for discussing improvements to articles.  If you have general questions, you can try at the (in this case) [[WP:RD/MA|Math ref desk]].  &ndash;[[User:Deacon Vorbis|Deacon Vorbis]]&nbsp;([[User Talk:Deacon Vorbis|carbon]]&nbsp;&bull;&nbsp;[[Special:Contributions/Deacon Vorbis|videos]]) 16:50, 7 December 2018 (UTC)
::That's what i was trying to do: get this article improved by telling when the AGM would or would not be transcendental.--[[User:Solomonfromfinland|Solomonfromfinland]] ([[User talk:Solomonfromfinland|talk]]) 06:07, 8 December 2018 (UTC)
:::Due diligence on elliptic integrals, as clearly explained in the following. An article is infinitely improved by reading. Read on! [[User:Cuzkatzimhut|Cuzkatzimhut]] ([[User talk:Cuzkatzimhut|talk]]) 15:43, 8 December 2018 (UTC)

== inconsistent $g_n$ vs $b_n$  ==

Someone has found it a good idea to call the sequence of geometric means $g_n$ instead of $b_n$ as all classical authors do; this change is present in the first few lines but later in the page, $b_n$ is used. I'm not totally against $g_n$ although I find $b_n$ (i.e., "a and b" rather than "a and g") way more natural in spite of the initials of "arithmetic & geometric", but I do think the page should use the same convention everywhere (and so I suggest to replace the instances of g_n by b_n). What do others think? &mdash; [[User:MFH|MFH]]:[[User talk:MFH|Talk]] 14:36, 28 August 2020 (UTC)
:Eh, using {{mvar|a}} and {{mvar|g}} seems clear and reasonable.  &ndash;[[User:Deacon Vorbis|Deacon Vorbis]]&nbsp;([[User Talk:Deacon Vorbis|carbon]]&nbsp;&bull;&nbsp;[[Special:Contributions/Deacon Vorbis|videos]]) 14:44, 28 August 2020 (UTC)

== Semi-protected edit request on 7 November 2021 ==

{{edit semi-protected|Arithmetic–geometric mean|answered=yes}}
The "External links" section contains a link to a [https://arithmeticgeometricmean.blogspot.com presumed calculator website], but the website itself is inoperable, and the only message displayed is "Always an issue with this site so I took it down." which was posted on the 4th of December 2012. I suggest the section to be removed [[User:AceMuffins|AceMuffins]] ([[User talk:AceMuffins|talk]]) 17:14, 7 November 2021 (UTC)

:{{done}} Thanks for pointing it out! [[User:MrOllie|MrOllie]] ([[User talk:MrOllie|talk]]) 17:17, 7 November 2021 (UTC)

== A minor point on notation ==

The chart in the top right corner uses "agm" in the legend, but the article says to use AGM or agM.

The note under the chart uses agm(1,x) but the article prefers M(1,x). [[User:Blitzer99|Blitzer99]] ([[User talk:Blitzer99|talk]]) 06:31, 24 August 2024 (UTC)