Talk:List of things named after Leonhard Euler

(Redirected from Talk:Euler's equations)
Latest comment: 2 months ago by Tito Omburo in topic Suspected mistake ("finite" vs. "infinite")

Possible Vandalism

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"Euler's number – 1=e = 2.71828..., base of the natural logarithm" 9/11/21

  Fixed D.Lazard (talk) 09:28, 12 September 2021 (UTC)Reply

Tidy-up suggestion

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This list really should distinguish between (a) topics discovered or developed by Euler himself - for example exp(i PI)+1=0 - and (b) topics named in honour of Euler like the AMS Euler Font. Rob Burbidge 12:31, 14 May 2007 (UTC)Reply

Euler's relation

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Which one does "Euler's relation" relate to? —Pengo 01:41, 27 September 2007 (UTC)Reply

Seems to be Euler's formula in this case. Is that what the term generally means? —Pengo 02:07, 27 September 2007 (UTC)Reply

Euler transform

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I've added links to the Euler Transform, as far as I can understand it relates to equations, please correct me if I'm wrong. Sonoluminesence (talk) 23:54, 2 March 2009 (UTC)Reply

Euler's Disk

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Euler's disk is listed twice. Argentino (talk/cont.) 17:08, 28 September 2009 (UTC)Reply

As are many items (brick, cycle, integrals, etc.) due to them being listed by type and by field of study. -AndrewDressel (talk) 18:11, 28 September 2009 (UTC)Reply

Euler-Eytelwein formula

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Wikipedia .de has http://de.wikipedia.org/wiki/Euler-Eytelwein-Formel, wondering why it doesn't seem to have an english equivalent or to be listed here. Is it lurking somewhere in the list? 80.177.9.239 (talk) 23:54, 29 June 2010 (UTC)Reply

Renaming

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"Things" is too vague. Can we change the name? Epicgenius(talk to mesee my contributions) 19:30, 25 April 2013 (UTC)Reply

Possibly, but you should have waited at least a day for comments, and "namesakes" is a poor choice because its dictionary definition only refers to persons, not things. This article is only about things. -AndrewDressel (talk) 19:42, 25 April 2013 (UTC)Reply
Typically we wait more than one minute for a discussion to develop. The old name was consistent with Category:Lists of things named after mathematicians, Category:Lists of things named after scientists, and Category:Lists of things named after people. Pburka (talk) 01:11, 26 April 2013 (UTC)Reply
Agreed that Epicgenius should have waited for consensus, that "namesakes" makes no sense as these are not people named after Euler, they are things--concepts, algorithms, objects, etc., and agreed that the new name is inconsistent with well-established conventions for this sort of article. Best to revert and discuss further. --Mark viking (talk) 03:02, 26 April 2013 (UTC)Reply
Namesake is wrong because it only refers to a similarity of name - whereas this if for things actually named after Euler. If there was another Leonhard Euler and something was named after them then it should not go into this list. Using 'namesake' to mean named after is fairly common especially in America but it is just not as good as saying 'things named after' which conveys exactly the right information. Dmcq (talk) 03:08, 26 April 2013 (UTC)Reply
Agree with everyone; this move should be undone posthaste. --JBL (talk) 03:44, 26 April 2013 (UTC)Reply

I've changed it back. Note that

Michael Hardy (talk) 13:45, 26 April 2013 (UTC)Reply

I agree that the old name was better. —David Eppstein (talk) 17:31, 26 April 2013 (UTC)Reply
Yay! -AndrewDressel (talk) 21:55, 26 April 2013 (UTC)Reply

Suspected mistake ("finite" vs. "infinite")

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Currently, the 4th entry (the entry after the 4th "bullet point") in the "Formulas" section of this article, says

Euler's continued fraction formula connecting a finite sum of products with a finite continued fraction

"as of" the "Latest revision as of 09:45, 2 July 2024" version of this article.

The above "block quoted" quote does not seem to agree with what it actually says, in the first sentence of [the article about] "Euler's continued fraction formula".

I went to that article, and the first sentence there, said: [QUOTE:]

In the analytic theory of continued fractions, Euler's continued fraction formula is an identity connecting a certain very general infinite series with an infinite continued fraction.

"as of" when I looked at it.

There seems to be a discrepancy or disagreement (perhaps even a mistake) here! The first "block quoted" quote [above] uses the word "finite" (twice). Yet, the article [about] "Euler's continued fraction formula" uses -- instead -- the word "infinite" (twice).

Even if there is not a "mistake" here, this does seem to be some content that could be confusing (at least, to some readers) so it would be appropriate to explain why the apparent 'discrepancy' is there (that is, why it "is not" a mistake).

On the other hand, if that apparent 'discrepancy' *** is *** a mistake, then the wording should probably be changed, to correct it.

Either way, I think that the entry shown in the first "block quoted" quote [above], seems to have some "room for improvement".

Thanks for listening. Mike Schwartz (talk) 05:35, 6 August 2024 (UTC)Reply

Euler's formula is for a finite sum and finite continued fraction. One gets a relation of infinite series by taking limits. Tito Omburo (talk) 10:25, 6 August 2024 (UTC)Reply