User talk:R.e.b./Archive 6

This is an archive of past discussions with User:R.e.b.. Do not edit the contents of this page. If you wish to start a new discussion or revive an old one, please do so on the current talk page.

Archive 1

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Archive 4

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Archive 6

December 2013

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January 2014

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• the subset of <math>\mathcal{P}(\mathbb{R})</math> defined by the set of all half-open intervals [a, b) for a and b reals. This is a semi-ring, but not a ring. [[Stieltjes measures]] are defined on
• For the first example, take the algebra generated by all half-open intervals [''a'',''b'') on the real, and give such intervals measure infinity if they are non-empty. The Caratheodory

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February 2014

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q-Hahn polynomials

Looks like this article is still under construction... (Btw, the new drafts namespace might be useful for that kind of thing.) Regards, HaeB (talk) 05:48, 7 March 2014 (UTC)

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Congratulations!

On your recent election to the academy. —David Eppstein (talk) 17:23, 29 April 2014 (UTC)

Thanks. It was set up to advise the president on science, but apparently he now just reads wikipedia. r.e.b. (talk) 03:57, 30 April 2014 (UTC)

Article Deletion Nomination

An article in which you have contributed extensively to, Ree groups, was nominated for deletion (not by me). Out of custom, I wanted to let you know. Feel free to contest the proposal using the link I posted above! Cheers! :) Flipandflopped (Discuss, Contribs) 03:07, 7 May 2014 (UTC)

May 2014

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• φ is an order 3 automorphism. Define the new product of ''x'' and ''y'' to be φ({{overline|''x''}}))φ²({{overline|''y''}}). WIth this new product the algebra is called a Petersson algebra.

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Issue with Kostka Polynomial Page

Hi R.e.b. I think there's a problem with a formula on the Kostka Polynomial page. You've added most of the content to that page, so I was wondering if you could look at it. (See my addition to the talk section.) Thanks! Ahhoefel (talk) 14:46, 5 June 2014 (UTC)

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Speedy deletion nomination of William Transue

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A tag has been placed on William Transue requesting that it be speedily deleted from Wikipedia. This has been done under section A7 of the criteria for speedy deletion, because the article appears to be about a person or group of people, but it does not indicate how or why the subject is important or significant: that is, why an article about that subject should be included in an encyclopedia. Under the criteria for speedy deletion, such articles may be deleted at any time. Please read more about what is generally accepted as notable.

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here is a secondary ref: [1] Sasha (talk) 14:42, 8 July 2014 (UTC)

Source

Do you remember any reference for "BN-pairs can be used to prove that most groups of Lie type are simple." https://en.wikipedia.org/w/index.php?title=(B,_N)_pair&oldid=12627231) where that theorem is used? — Preceding unsigned comment added by Deruser1930 (talk • contribs) 06:58, 8 July 2014 (UTC)

• Bourbaki, Nicolas (2002). Lie Groups and Lie Algebras: Chapters 4–6. Elements of Mathematics. Springer. p. 24. ISBN 3-540-42650-7. r.e.b. (talk) 13:18, 8 July 2014 (UTC)

I was referring to the usage, not the proof of the criterion. — Preceding unsigned comment added by Deruser1930 (talk • contribs) 08:22, 10 July 2014 (UTC)

July 2014

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Proposed deletion of Richard Gosselin

The article Richard Gosselin has been proposed for deletion because of the following concern:

A single-digit h-index showing a likely failure of WP:PROF#C1 and no other evidence of passing any of the WP:PROF criteria. The only source is a database entry on his Ph.D. thesis, no good sources could be found elsewhere, and even his employer's web site has no nontrivial information about him. Most of the information in this very short article cannot be verified by reliable sources. There are no incoming wikilinks of any note.

While all constructive contributions to Wikipedia are appreciated, content or articles may be deleted for any of several reasons.

You may prevent the proposed deletion by removing the {{proposed deletion/dated}} notice, but please explain why in your edit summary or on the article's talk page.

Please consider improving the article to address the issues raised. Removing {{proposed deletion/dated}} will stop the proposed deletion process, but other deletion processes exist. In particular, the speedy deletion process can result in deletion without discussion, and articles for deletion allows discussion to reach consensus for deletion. —David Eppstein (talk) 22:52, 3 August 2014 (UTC)

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August 2014

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• {{defn|no=1|A [[successor ordinal}} is the smallest ordinal larger than some given ordinal}}

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Esenin-Volpin's theorem

In this article, could you add a definition of "weight"? Michael Hardy (talk) 02:19, 13 September 2014 (UTC)

September 2014

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Example at quasi-category

Hello! I wanted to add a concrete example to quasi-category about topological spaces and homotopies. My quasi-category would have the topological spaces as objects (0-simplices), continuous maps as morphisms (1-simplices), and the 2-simplices would be homotopies from gf to h, where f:X→Y, g:Y→Z and h:X→Z. I'm not sure how to easily describe the higher simplices though. Do you know how to do it? Or is this not a natural example? Thanks, AxelBoldt (talk) 01:25, 25 September 2014 (UTC)

I think you might be able to take the topological nerve of the category of CW complexes as an example. I don't know offhand if you can use topological spaces instead of CW complexes. And I might have misremembered as this stuff is rather confusing, so anything I say needs to be confirmed in a reliable source before using it. r.e.b. (talk) 01:58, 25 September 2014 (UTC)

The category of topological spaces is definitely an (∞,1)-category. There are different models of such categories, one of which is 1-categories enriched in simplicial sets or equivalently spaces. And the category of topological spaces is obviously a category enriched in spaces. To see what the simplicial structure on this category is you could trace the equivalence of quasicategories and topological categories, but surely the answer will just be that the n-simplices are homotopies between (n-1)-simplices, no? -lethe ^talk + 00:29, 29 September 2014 (UTC)

${\displaystyle S^{r+q}/S^{r}\times S^{q-1}=S(S^{r}\times S^{q-1})}$

Hi r.e.b.. In J-homomorphism, it is claimed that ${\displaystyle S^{r+q}/S^{r}\times S^{q-1}=S(S^{r}\times S^{q-1})}$. Is this correct? For example, taking r=1, q=1, it seems to me that ${\displaystyle S^{2}/S^{1}\times S^{0}}$ is a wedge sum of three 2-spheres, while ${\displaystyle S(S^{1}\times S^{0})}$ is two 2-spheres joined at their north and south poles. The former is simply connected and the latter is not, so they are not homotopy equivalent. Have I made a mistake? -lethe ^talk + 00:09, 29 September 2014 (UTC)

Good catch. Should be fixed now. r.e.b. (talk) 01:33, 29 September 2014 (UTC)

Thanks, r.e.b. The new version agrees with how I understood this map. I also think there should be a way to say it that something that looks more like what you had originally, maybe it's what you had been going for? Tell me if the following sounds right: an element of ${\displaystyle SO_{q}}$ can be regarded as a linear map on the unit ball ${\displaystyle D^{q}\to D^{q}}$. Therefore from ${\displaystyle \pi _{r}(SO_{q})}$ we derive a map ${\displaystyle S^{r}\times D^{q}\to D^{q}}$.

In general the join ${\displaystyle X*Y}$ decomposes as ${\displaystyle CX\times Y\cup X\times CY}$, where C denotes the cone construction. In the case of spheres, we have ${\displaystyle S^{r+q}=S^{r}*S^{q-1}=S^{r}\times D^{q}\cup D^{r+1}\times S^{q-1}.}$ This decomposition may also be understood as ${\displaystyle S^{r+q}}$ is the boundary of ${\displaystyle D^{r+q+1}=D^{r+1}\times D^{q}.}$ Then there is a natural map which contracts the copy of ${\displaystyle D^{r+1}\times S^{q-1}}$ inside ${\displaystyle S^{r+q}}$ to a point: ${\displaystyle S^{r+q}\to S^{r+q}/(D^{r+1}\times S^{q-1})\cong S^{r}\times D^{q}}$. Composing these maps and identifying the boundary of ${\displaystyle D^{q}}$ to a point gives the desired map ${\displaystyle S^{r+q}\to S^{q}}$.

This construction of the J-homomorphism is more or less the version in Ravenel's green (red?) book. It also shares some similarity to what you had written on the page originally, so I wonder if it's what you had in mind. In any case, it is of course the same thing, just with a more explicit description of the Hopf construction. The current version which outsources some of the lifting to the Hopf construction page looks good to me. Cheers. -lethe ^talk + 03:25, 1 October 2014 (UTC)

I cannot remember exactly what I had in mind, but probably I just absent-mindedly wrote down the product instead of the sum of the two spaces. One can fix my mistake by contracting each of the 2 spaces to points instead of contracting their product, which seems sort of equivalent to what you wrote (up to some homotopies). But it seemed cleaner to move this to a separate article on the Hopf construction.r.e.b. (talk) 04:20, 1 October 2014 (UTC)

Example at quasi-category

Hello! I wanted to add a concrete example to quasi-category about topological spaces and homotopies. My quasi-category would have the topological spaces as objects (0-simplices), continuous maps as morphisms (1-simplices), and the 2-simplices would be homotopies from gf to h, where f:X→Y, g:Y→Z and h:X→Z. I'm not sure how to easily describe the higher simplices though. Do you know how to do it? Or is this not a natural example? Thanks, AxelBoldt (talk) 01:25, 25 September 2014 (UTC)

I think you might be able to take the topological nerve of the category of CW complexes as an example. I don't know offhand if you can use topological spaces instead of CW complexes. And I might have misremembered as this stuff is rather confusing, so anything I say needs to be confirmed in a reliable source before using it. r.e.b. (talk) 01:58, 25 September 2014 (UTC)

The category of topological spaces is definitely an (∞,1)-category. There are different models of such categories, one of which is 1-categories enriched in simplicial sets or equivalently spaces. And the category of topological spaces is obviously a category enriched in spaces. To see what the simplicial structure on this category is you could trace the equivalence of quasicategories and topological categories, but surely the answer will just be that the n-simplices are homotopies between (n-1)-simplices, no? -lethe ^talk + 00:29, 29 September 2014 (UTC)

To be more explicit, the singular simplicial set functor carries topological categories to simplicially enriched categories, and is a quillen equivalence. So we have objects topological spaces, and a simplicial set of morphisms between spaces which are just singular maps into the hom-space with the compact-open topology. Then the homotopy coherent nerve functor takes simplicially enriched categories to quasicategories, and is a quillen equivalence. So the simplices are just coherent homotopies, in the simplicial sense, between strings of composable maps. -lethe ^talk + 19:08, 6 October 2014 (UTC)

Seems like I edited a reply to this talk page while it was archived. Sorry, if the conversation is over then please re-archive it. -lethe ^talk + 19:11, 6 October 2014 (UTC)

Ackermann coding

Hey, I disagree with the merge of Ackermann coding into the the BIT predicate article. Actually, I think the problem is that the original article gradually deteriorated (removal of the logic stub category, removal of the precise mathematical formula, etc.) until it is hardly recognisable as a mathematically-logical topic, and now it's been turned into some sort of programming topic. You'll see what I mean if you look at one of the original revisions of the article. Do you mind if I restore it as its own article and clean it up? Vegard (talk) 06:25, 8 October 2014 (UTC)

"Ackermann coding" and "BIT predicate" are two names for the same thing so I'm not sure why you want two separate articles on this topic. I also cannot see that anything significant was removed from either article. You could ask user:David Eppstein if you want a third opinion. r.e.b. (talk) 14:18, 8 October 2014 (UTC)

A barnstar for you!

	The Tireless Contributor Barnstar
	For creating and expanding many articles on mathematics. You have done a great work! Thank you very much. Leeuwe (talk) 10:19, 24 November 2014 (UTC)

Ikeda–Miyawaki lift

fyi.... you created a redirect to itself. Bgwhite (talk) 06:26, 4 December 2014 (UTC)

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Univalent foundations tags

You removed the tags from Univalent foundations with the comment, rm inappropriate tags: an expert writing in his area is not a wp:COI, and the subject is probably unavoidably technical.

Note: VV is User:Vladimirias

As for the too tecnnical tag, there are certainly other WP articles on mathematics equally or even more technical. The problem with the HoTT/UF pages at present is that there are statements made without sufficient explanation and which therefore only make sense to an expert who already knows them. But to add the necessary explanation would make the article unduly long and perhaps even more technical. I do not know what the solution of this problem is.

As for the COI tag, I agree that an expert writing in his area is totally appropriate, so long as he is careful to write from a NPOV. My concern is that VV is not doing this. He has a lot at stake and does not seem (to me) to mind slanting the history to magnify his own role. If internal evidence shows that he has misstated facts (something which I attempted to document), NPOV would certainly follow.

WP:COI contains the statement. "You should not ... edit articles about yourself..." I documented several cases in which VV has done this. I did this to support the contention that VV is not writing from a NPOV.

"Citations should ... should not place undue emphasis on your work." I tried to demonstrate that this was also the case. Perhaps I failed to do it.

I will not tag the article again. I just want to register my viewpoint.--Foobarnix (talk) 18:57, 12 February 2015 (UTC)

Proposed deletion of Sarti surface

The article Sarti surface has been proposed for deletion because of the following concern:

Based on a single uncited and primary source, with no secondary sources that cover it in-depth, and no explanation within the article for the significance of the topic, this is insufficiently notable for an encyclopedia article.

While all constructive contributions to Wikipedia are appreciated, content or articles may be deleted for any of several reasons.

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Please consider improving the article to address the issues raised. Removing {{proposed deletion/dated}} will stop the proposed deletion process, but other deletion processes exist. In particular, the speedy deletion process can result in deletion without discussion, and articles for deletion allows discussion to reach consensus for deletion. —David Eppstein (talk) 23:19, 11 April 2015 (UTC)

It would be a shame to delete this article. If you could say a little more about why it is significant–an example of an algebraic surface having a maximum number of ordinary double points (discovered so far)–that might help. Here are a couple of links that could also possibly help - Home page of Alessandra Sarti, Wolfram Mathworld page on Sarti Dodecic. The CRC Concise Encyclopedia of Mathematics also discusses the Sardi surface.--Foobarnix (talk) 12:31, 12 April 2015 (UTC)

Disambiguation link notification for April 18

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t' Hooft and asymptotic freedom

I noticed that back in 2007, you added a reference to an unpublished talk by t'Hooft at Marseilles in 1972 [2] to the article on asymptotic freedom. Did you mean reference 1972c in [3] ? Headbomb {talk / contribs / physics / books} 11:45, 28 May 2015 (UTC)

It sounds plausible. r.e.b. (talk) 15:11, 28 May 2015 (UTC)

What was your original source? Headbomb {talk / contribs / physics / books} 17:45, 28 May 2015 (UTC)

I cannot remember what source I used, but the paper

• D.J. Gross (1998). "Twenty Five Years of Asymptotic Freedom". Nuclear Physics B: Proceedings Supplements. 74: 426–446. arXiv:hep-th/9809060. Bibcode:1999NuPhS..74..426G. doi:10.1016/S0920-5632(99)00208-X.

discusses t'Hooft's comments.r.e.b. (talk) 18:03, 28 May 2015 (UTC)

ambiguity?

I think you may be the one who wrote the following:

The Jacobian conjecture for any given characteristic 0 field k is equivalent to the Jacobian conjecture for k the field of complex numbers.

I can think of at least two ways to interpret this:

• Pick any field of characteristic 0; it doesn't matter which one. The conjecture is true of that field if and only if it is true of the field of complex numbers.
• Suppose it is the case that for any field of characteristic 0, no matter which one, the conjecture holds. Then it holds for the field of complex numbers. And conversely. (The first sentence is an overly complicated and less clear way of saying that it's true of _every_ such field.)

In the first version; "any" is in effect the same as "some", i.e. at least one, and in the second version "any" would in effect mean "every". I don't know which is intended. Could the sentence be rephrased a bit? Michael Hardy (talk) 03:43, 10 July 2015 (UTC)

A barnstar for you!

	The Original Barnstar
	For your work in the article Hyperbolization theorem. KindleinKrüger (talk) 09:51, 3 August 2015 (UTC)

Kennedy number listed at Redirects for discussion

An editor has asked for a discussion to address the redirect Kennedy number. Since you had some involvement with the Kennedy number redirect, you might want to participate in the redirect discussion if you have not already done so. GeoffreyT2000 (talk) 00:40, 13 August 2015 (UTC)

de:Mejer Felixowitsch Bokschtein

In your English version (Meyer Bockstein) you gave 2 May 1990 as date of death. Do you remember where you found this? Kindest regards, --Drahreg01 (talk) 15:00, 21 August 2015 (UTC)

Sorry, I cannot remember. It was probably some www page, but all the ones I can find now seem to be copies of the wikipedia article. r.e.b. (talk) 16:09, 21 August 2015 (UTC)

Aleph number

Re your revert: My edit summary was "who knows whether it was on purpose or not?" Do you have a response to that? Otherwise the qualifier "by accident" seems to be undue speculation. — This, that and the other (talk) 06:30, 2 September 2015 (UTC)

You seem not to have checked the source for this statement. r.e.b. (talk) 13:30, 2 September 2015 (UTC)

I see. But I don't think the fact that the symbol was inconsistently printed in one particular paper is worthy of being mentioned in the article. If you can find a nice, reliable source that says that aleph was often misprinted by accident, I'll be a lot happier. — This, that and the other (talk) 06:47, 8 September 2015 (UTC)

Proposed deletion of ‎Martin Billik

The article ‎Martin Billik has been proposed for deletion. The proposed deletion notice added to the article should explain why.

While all constructive contributions to Wikipedia are appreciated, content or articles may be deleted for any of several reasons.

You may prevent the proposed deletion by removing the {{proposed deletion/dated}} notice, but please explain why in your edit summary or on the article's talk page.

Please consider improving the article to address the issues raised. Removing {{proposed deletion/dated}} will stop the proposed deletion process, but other deletion processes exist. In particular, the speedy deletion process can result in deletion without discussion, and articles for deletion allows discussion to reach consensus for deletion. Nsk92 (talk) 14:47, 3 November 2015 (UTC)

Removal of templates

Why did you remove the No footnotes and Underlinked templates from Frobenius's theorem (group theory)? You did not provide a reason in the edit summary. GeoffreyT2000 (talk) 14:55, 4 November 2015 (UTC)

The templates you added were both inappropriate. For example, the article uses Harvard style references rather than footnotes. If you do not know what these are you should not be adding "no footnotes" templates to articles. r.e.b. (talk) 15:25, 4 November 2015 (UTC)

ArbCom elections are now open!

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{{Expand language}}

FYI... On History of arithmetics, you used the {{Expand language}} template. Right at the beginning of the doc page, it says, "should not be placed on article pages directly". Bgwhite (talk) 07:36, 27 November 2015 (UTC)

Table at pointclass

Hi R.e.b. Nice table. Have you finished? I would put ellipses at the bottom, so as not to imply that projective exhausts all the pointclasses. --Trovatore (talk) 23:52, 19 December 2015 (UTC)

I'm finished for the moment. r.e.b. (talk) 23:55, 19 December 2015 (UTC)

Thanks. --Trovatore (talk) 23:58, 19 December 2015 (UTC)

I am not really familiar with the notation Σ^1₀. Are you sure this is standard? I would probably call it Σ^0_<ω or some such, if I've understood what you're getting at. --Trovatore (talk) 21:17, 20 December 2015 (UTC)

It is a special case of the standard notation Σ^m_n which allows at most n quantifiers of order m+1 and arbitrarily many quantifiers of order at most m. r.e.b. (talk) 21:32, 20 December 2015 (UTC)

Well, that makes sense if you read it that way, but I'm not sure that your precise formulation of Σ^m_n is actually standard, especially for n=0. Is this attested in Moschovakis, for example? --Trovatore (talk) 21:45, 20 December 2015 (UTC)

But Σ^0_ω is a perfectly good alternative name which should probably be added to the table. r.e.b. (talk) 21:35, 20 December 2015 (UTC)

Σ^0_ω is something different; it means (let's take the boldface case for simplicity) a countable union of sets each of which has finite Borel rank (but where the sup of their ranks may not be finite). That's a strictly larger class than Σ^0_<ω. --Trovatore (talk) 21:45, 20 December 2015 (UTC)

Yes, I misread the definition of the Borel hierarchy. r.e.b. (talk) 21:51, 20 December 2015 (UTC)

Also, on the lightface side, the iteration through recursive ordinals exhausts the hyperarithmetic sets, and there's no way I know of to iterate past ω₁^CK. --Trovatore (talk) 21:53, 20 December 2015 (UTC)

Probably not Bishop Berkeley, right?

I'm guessing Berkeley cardinals were not named after someone named Berkeley but after the location of the university where they were conceived. Either way, if you know about this, could you add that to the article? Michael Hardy (talk) 18:28, 17 February 2016 (UTC)

A barnstar for you!

	The Tireless Contributor Barnstar
	Thank you for your great work. Erlanger Programm (talk) 18:42, 24 March 2016 (UTC)

orphan

Hello.

This edit created an orphan, i.e. no other articles link to that one. Are there other articles that should link to it? Michael Hardy (talk) 19:10, 26 March 2016 (UTC)

Edit to Uniform polyhedron

Thanks for your edits. You made an edit here Uniform polyhedron with the edit summary "Copy edit (major)"... but this was not copy editing, which means correcting or improving the English writing without changing the substantive meaning. Without looking carefully at the paragraph I was tempted to revert, as "Please explain changes on talk page", because you were changing the numbers. However, as far as I can see, you were simply correcting the arithmetic of how many were newly discovered... so in cases like this, please use an edit summary like "Correcting the arithmetic", "Sorting out the numbers" etc etc. This would make it easier for people who are checking edits for vandalism.

Incidentally, the previous edit to Systole you gave the same summary: this is copy editing, though I'm not sure I agree it is the best way to write it. Is there some history of people being very silly as a result of believing it to be a fraction? Unless so, the current version seems unduly hysterical to me. I understand the basic problem: I find myself answering questions on Music stack exchange about the difference between 3/4 and 6/8 time, to which there are always a number of answers which are wrong in the obvious way. Imaginatorium (talk) 04:13, 25 May 2016 (UTC)

Proposed deletion of Dual q-Hahn polynomials

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It now on AFD. It also discussed at Wikipedia talk:WikiProject Mathematics#Families of polynomials.--Salix alba (talk): 15:13, 12 June 2016 (UTC)

Non rigorous results

Hello as the primary contributor to Glossary of string theory I wonder if you would like to comment at Talk:Edward Witten/Archive1#Non rigorous results. Solomon7968 06:00, 26 June 2016 (UTC)

Invitation

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Ways to improve Maass wave forms

Hi, I'm SamHolt6. R.e.b., thanks for creating Maass wave forms!

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Citation requested

Hi,

hope I'm doing this right and you're seeing this as a message.

If I've done this correctly, you've edited the page "Ordinal Arithmetic" on July 20, 2014 (compare versions, adding this statement:

Jacobsthal showed that the only solutions of α^β = β^α with α≤β are given by α=β, or α=2 β=4, or α is any limit ordinal and β=εα where ε is an ε-number larger than α.), adding the following statement:

Can you provide a reference for this statement? I've looked at two Jacobsthal papers on ordinals (the ones that seem to be cited a lot and the only ones I could find), namely
'Ueber den Aufbau der transfiniten Zahlen' (Mathematische Annalen 66) and
'Zur Arithmetik der transfiniten Zahlen' (Mathematische Annalen 67)
but cannot find said result in those.

Thanks Feel free to email me at [e-mail] Georg.anegg (talk) 14:01, 11 October 2017 (UTC)

Nevermind, I found it. The proof is in 'Vertauschbarkeit transfiniter Zahlen' (Mathematische Annalen 64) (1907) FULL ARTICLE Georg.anegg (talk) 16:26, 16 October 2017 (UTC)

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Disambiguation links to Hecke algebra

Can you clear up which sense of Hecke algebra is intended in T. A. Springer and Brandt matrix? Cheers! bd2412 T 16:55, 12 December 2017 (UTC)

Stroke

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Wikipedia page about the elliptic Legendre relation

Good morning, user R.e.b.!!

Now I created a proof for the Legendre's relation of the complete elliptic integrals of first and second kind. I mean this equation: K*E' + E*K' - K*K' = pi/2 you know already. Hopefully you accept my proof, I entered in your Wikipedia article of the Legendre relation. I put a lot of effort into the creation of this proof. And therefore I hope, that there is nothing missing. Of course I will look for suitable references. But I can assure you and swear that this does not fall into the category of original research because this is exactly the way, mathematicians as Adrien Marie Legendre found it out themselves. And I explained all their results in an even more accurate way at many positions. Can the formulas remain as they are currently written down? Do you accept my mathematical formula sequences in this article? Hopefully I have really derived these formulas thoroughly enough in your eyes. If any problems arise, I sincerely request that you tell me what problems might appear. But for the first one, I think I am completely done with the writing of all these formulas and the text. That is why I ask you all the more that you could take a look at this article. I am very curious how you will rate this article in its current form. And I really hope everything is all right there. Please check it out! Have a nice day!! Yours faithfully and sincerely!! Lion Emil Jann Fiedler also known as Reformbenediktiner Reformbenediktiner (talk) 07:05, 4 January 2023 (UTC)

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1. https://ui.adsabs.harvard.edu/abs/2021AN....342..578H/abstract