Jacobolus

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Again, welcome! --Lst27 (talk) 23:54, 15 Jan 2005 (UTC)

Your reversion of my edit

Hi, why did you revert my edit to Orthographic projection? Seems to me that the text is now ungrammatical and my edit fixed it. You can't start a sentence with "Orthographic projection is a form of...". Am I missing something? Zvika (talk) 11:02, 8 January 2024 (UTC)

Sure you can start a sentence that way. Just like you can might a sentence with "Introspection is a form of thinking ..." or "Running is a form of exercise ...". You can conceivably change this to "The orthographic projection ..." and replace one kind of noun with another, but it takes a more substantial rewrite to make sure the end result is grammatical, which your version was not (or if perhaps arguably nominally grammatical, it became awkward and confusing since the new kind of noun didn't match the previous intention of the sentence). –jacobolus (t) 15:23, 8 January 2024 (UTC)

I encourage you to look at Parallel projection, 3D projection, Map projection, Projection (linear algebra), Projection (set theory), Projection (relational algebra) and probably others, all of which have an article before the word "projection" in the lede. Zvika (talk) 11:38, 10 January 2024 (UTC)

Yes, there are two different types of nouns involved here. In English you can talk about either the process of projection, or a specific function, a projection. Both versions can be grammatical, and the page Orthographic projection could choose either one in a lead sentence. The sentence could be entirely rewritten to use the version with the article, and that would be fine. There's no particular need to make this change, but if you care strongly you can try rewriting the sentence. You can't just tack the articles on wherever you want though, or you get something awkward and confusing. –jacobolus (t) 15:29, 10 January 2024 (UTC)

Number Line and Number Axis Are The Same Thing.

Moved to Talk:Cartesian coordinate system

Edit war

You are involved in an edit war at Cartesian coordinate system. An uninvolved administrator may consider that both the other editor and you did dot respect the WP:3RR rule. If you would have waited a little before your last reverts, I could do them myself, and we could be sure that only the other editor may be blocked.

By the way, I have notified the last talk-page edit of this editor to their last blocking administrator, and suggested an indefinite block, per WP:NOTHERE D.Lazard (talk) 17:47, 9 January 2024 (UTC)

I would recommend just blocking them temporarily from this specific page. –jacobolus (t) 17:49, 9 January 2024 (UTC)

They may waste your time with encyclopedic style as well

My example. 95.26.146.215 (talk) 08:31, 16 January 2024 (UTC)

I don't understand what you are getting at. Please use full sentences and explain your point clearly. –jacobolus (t) 08:32, 16 January 2024 (UTC)

They may really waste your with nonsense The latest example. 95.26.146.215 (talk) 08:55, 16 January 2024 (UTC)

I still have no idea what you are getting at. You need to explain yourself clearly in full sentences, at the relevant talk pages, not make cryptic comments on my user talk page. –jacobolus (t) 08:57, 16 January 2024 (UTC)

I will work in talk space for a while.

It's fun editing together, and I like your final edit on Perpendicular. I think we should change the second part of that section (about the dot product.) I will do it on the talk page. Guy vandegrift (talk) 23:12, 28 January 2024 (UTC)

@Guy vandegrift Feel free to make edits directly to the article. –jacobolus (t) 23:35, 28 January 2024 (UTC)

It's probably worth making a separate section about vectors and lines in terms of coordinates; should probably go before the section about graphs of linear functions, frankly. –jacobolus (t) 23:37, 28 January 2024 (UTC)

I will enter the equations soon.Guy vandegrift (talk) 00:11, 29 January 2024 (UTC)

I'm done editing Perpendicular. I agree with you on moving the section closer to the top and perhaps changing the title. Go ahead and move or rename it. I certainly won't complain!Guy vandegrift (talk) 01:43, 29 January 2024 (UTC)

You reverted my edit.

Hello! It seems I've made a pointless edit on Polar coordinate system and you reverted it. However, now I'm confused because I'm not really sure why my edit was incorrect. I'm not a native English speaker so that's why the sentence seems weird to me.

If it's not too much, would you be able to explain to me what does it mean?

Thanks! Confused.jpg (talk) 12:01, 29 January 2024 (UTC)

Confused.jpg: The two versions, "there are references to his using polar coordinates" and "there are references to his works using polar coordinates" mean two different things. The former means someone said something along the lines of "Hipparchus used polar coordinates to establish stellar coordinates", whereas the latter probably means someone said something along the lines of "Hipparchus's work XYZ used polar coordinates ...", but is also grammatically ambiguous because it can plausibly be read with "references" as the subject of "using". The cited source is unlikely to support your variant, but I didn't check explicitly; did you?

Arguably this sentence is a bit awkward and might benefit from a rewrite. But it has to be done with care for the details. –jacobolus (t) 12:08, 29 January 2024 (UTC)

Oh alright, I kind of understand now how my edit changed the meaning of the sentence, and I surely didn't think, nor notice, how it made the sentence ambiguous, thanks for pointing that out.

Not gonna lie, I tried checking the source (after you asked) but I didn't understand enough to be able to provide a valid correction.

It's the second time where I tried to correct something but ended up getting it completely wrong, maybe I should stop doing that.

In any case, thanks for your help and patience, it seems there's a long way until I completely understand how English works. Confused.jpg (talk) 15:25, 30 January 2024 (UTC)

@Confused.jpg Please feel free to make corrections where you see them. Getting your change reverted is not any kind of personal rebuke, and it happens to everyone all the time including experienced editors. It just means that someone looked at the edit and disagreed. If you ever have a change reverted and you continue to think your version was superior you can start a talk page discussion (either on the other editor's talk page as you did here, or on the article) and talk through the reasons. Decisions on Wikipedia are made by consensus of the editors, not by any individual editor's authority.

In this particular case it might well be worth trying to rewrite this sentence. The original uses a grammatical construction which is a bit unusual and reads a bit awkwardly. All the best. –jacobolus (t) 15:34, 30 January 2024 (UTC)

Tetrahedron and triangular bipyramid

Hi. I'm not sure this is the right place to ask about polyhedron. I have planned the article Triangular bipyramid for another improvement to GA, but there is one problem that I could not nominate. Are regular tetrahedrons and tetrahedrons the same synonymously, I have looked up the source [1] that mentioned the triangular bipyramid constructed by two triangular pyramid, but it does not mention the regular, and our article have differentiate both of them. Dedhert.Jr (talk) 08:11, 6 February 2024 (UTC)

The word "tetrahedron" does not imply regular. Any 4 points in 3-space can be chosen as the vertices of a tetrahedron. If you glued together any 2 tetrahedra sharing a face (or in other words, started from 3 vertices defining a "base" plane, and then picked 2 more vertices on either side of the base and connected each one to the original three vertices), you'd get some flavor of "triangular bipyramid". –jacobolus (t) 08:22, 6 February 2024 (UTC)

@Jacobolus Yes. But the article is talking about the edge length equal in length case. Do I have to explain the non-regular one as well? This is difficult to find the sources, although we both have modified the article Bipyramid before. Dedhert.Jr (talk) 08:34, 6 February 2024 (UTC)

Triangular bipyramids (or dipyramids) which do not have equal side lengths seem to be more common than the equal-sided sort in crystallography. I think this article should cover both types. Ones that are "oblique" also come up sometimes I think. I don't think you need to put special attention into the case where the 2 apices are completely arbitrary unrelated points. –jacobolus (t) 08:40, 6 February 2024 (UTC)

Ahh... In this case, can you help me to find the sources? I'll make sure to add them more. However, one thing that I could not change is the sections, that I'm planning to list all of the eight different deltahedra in WP:GT. By the way, it seems that I could not find the right and oblique triangular bipyramid in neither Google Books nor Google Scholar; they rather explicitly shows the triangular pyramid. Dedhert.Jr (talk) 08:43, 6 February 2024 (UTC)

Google scholar turns up 18,000 results about this shape, a substantial proportion come from crystallography. I have no idea which sources are especially meaningful/important in that field though. –jacobolus (t) 08:50, 6 February 2024 (UTC)

@Jacobolus Thank you so much; I thought they do not. I could only found one source [2], but I cannot access the article, and could not the verifiability of this source. Dedhert.Jr (talk) 09:12, 6 February 2024 (UTC)

@Jacobolus Oh yeah. One more thing. Is it fine to explain the right bipyramid in general [3], and then write its an example as triangular bipyramid? This is the only thing I could think of, but I'm aware that this is challenging the verifiability? Dedhert.Jr (talk) 03:03, 7 February 2024 (UTC)

Here's e.g. a paper discussing "oblique triangular bipyramids": Alexandrov, Victor (2017). "How many times can the volume of a convex polyhedron be increased by isometric deformations?." Beiträge zur Algebra und Geometrie 58: 549-554. arXiv:1607.06604.pdf. –jacobolus (t) 03:27, 7 February 2024 (UTC)

In this paper, there is mention of both "right triangular bipyramids" and "Concave tetrahedral/trigonal bipyramidal palladium nanocrystals": Niu, Wenxin; Xu, Guobao (2011). "Crystallographic control of noble metal nanocrystals". Nano Today 6 (3): 265–285. doi:10.1016/j.nantod.2011.04.006. –jacobolus (t) 07:13, 7 February 2024 (UTC)

@Jacobolus Ah... Sorry for late response. Thank you. I have added this, but are they mentions about the definition of right bipyramid in the last source? Also, does it also mention something more about the nanocrystal. I would like to require more context in that journal, and once again, I cannot access the source, which I subsequently cannot check the verifiability. Thank you so much for the assitance. Dedhert.Jr (talk) 14:01, 11 February 2024 (UTC)

Revert

I see why you reverted this (https://en.wikipedia.org/w/index.php?title=Geodesics_on_an_ellipsoid&diff=1204876221&oldid=1204870289), but I used VisualEditor and didn't change anything but the params for linking the book title. Sometimes it adds white space to the wiki text by itself. BhamBoi (talk) 07:31, 8 February 2024 (UTC)

@BhamBoi You can't make this type of edit. It's hugely hugely disruptive. If the visual editor is causing this kind of extreme damage, use the source editor. (That's also a massive bug in the visual editor which should be fixed.) –jacobolus (t) 07:36, 8 February 2024 (UTC)

I added what I intended to add and published it, there was really no way for me to know what wiki text it was adding… I'll try to be more careful but there is not much I can do when using a core feature as intended. BhamBoi (talk) 07:39, 8 February 2024 (UTC)

@BhamBoi You can't click "show changes"? If other edits are doing something similar, please don't make them. (For instance, switch to the source editor.) Clobbering all of the intentional whitespace a human put into the citation templates is doing significantly more damage than any benefit that could be had from changing one citation. –jacobolus (t) 07:51, 8 February 2024 (UTC)

It's not in my normal behavior to preview the changes to wikitext when making a visual edit (maybe I'll start doing that just because of this, but I don't assume that's the norm among editors)... Obviously I didn't intentionally add space to the templates: here's an example video showing that I really could not have known that I was adding whitespace upon publishing my changes without viewing the diff to the wikitext. BhamBoi (talk) 08:02, 8 February 2024 (UTC)

That's messed up. I've never used the Visual Editor, but the UI you went through there to make a tiny change seems incredibly painfully ineffective, with far too many clicks and boxes to fill. If it additionally has this kind of severe bug, it's probably better if everyone who can just stops using it. –jacobolus (t) 08:10, 8 February 2024 (UTC)

Thoughts?

Hi, jacobolus. Hope all is well. You may want to share your thoughts on Wikipedia:Administrators'_noticeboard/Incidents#User:SheriffIsInTown_and_timesinks. Thank you. HistoriesUnveiler (talk) 18:44, 10 February 2024 (UTC)

March 2024 GAN backlog drive

Good article nominations | March 2024 Backlog Drive
March 2024 Backlog Drive: On 1 March, a one-month backlog drive for good article nominations will begin. Barnstars will be awarded. Interested in taking part? You can sign up here or ask questions here.
You're receiving this message because you have reviewed or nominated a good article in the last year.

(t · c) buidhe 02:39, 23 February 2024 (UTC)

Dialogue and talks in Wikipedia

This remark would be out of topic on the main Function page, but might clarify some things. First, criticism of behavior fundamentally differs from criticism af a person. The first is a matter of calling to order, the second might (!) be taken as an insult. My observation about "frogs" and "adolescent" clearly referred to behavior.

Second, your question starting with "I'm not clear what you're hoping for" is a bit puzzling. Does it refer to my remark about people barging in in the middle of a dialogue?

My objection is that, since there is no moderator, the entire discussion becomes fragmented, as on the proverbial fishmarket (oops!). Some restraint may ensure more coherence. Observe that it's happening again to our dialog, impeding all progress! So don't take it personally if I occasionally get out of the melee. Boute (talk) 13:10, 2 March 2024 (UTC)

@Boute I thought the substantive part of the comment was fine (serving readers, multiple definitions, direct citations to sources), but the introductory aside about frogs and adolescents etc. seemed gratuitous and distracting from the point, and entirely undercut the "restraint is needed to avoid derailing [...] I will set the example in exercising restraint" part of your comment. –jacobolus (t) 17:37, 2 March 2024 (UTC)

I agree with you that discussions on Wikipedia can often be frustrating for everyone involved, even when people generally agree (let alone when topics get politicized, etc.). –jacobolus (t) 17:38, 2 March 2024 (UTC)

"I'm not clear what you're hoping for" is a bit puzzling. Does it refer to my remark about people barging in in the middle of a dialogue? – Whoops, I meant to answer this. I thought you were put off by the repeated rejection from multiple authors that an article critic was getting about concern about whether a domain/codomain must be very explicitly described to be part of a set-theoretic structure used as specification of a function. From what I can tell the discussion persisted largely due to the critic's repetitive replies that didn't really seem to engage with what other people were saying. I am not sure what you would prefer as a response in that case: it seems to me that other people can either keep trying to explain/respond, or just ignore the discussion and let the critic talk to themself. –jacobolus (t) 17:45, 2 March 2024 (UTC)

Indeed, that's why I decided terminating my yearly visit to this article (over the past 10 years I have seen no progress), and coming back in 2025. As regards the codomain issue, since the 1980s I've been regularly asking mathematicians using codomains why they might want it. The answer always amounted to "tradition in certain fields" or "it's a convenience" (without a technical justification). Yet, most definitions for composition of functions with codomains are very restrictive. Of course, since the term codomain exists, it must be covered by an article meant to be encyclopedic, but a solid technical justification would be a genuine added value.

If you have the incentive to continue working on this article, you may find Rogaway's remarks very helpful [4], in particular his remark #18: 'Definitional choices that don't capture strong intuition are usually wrong, they may come back to haunt you". As for the of informal introduction, I recently found very high praise for the educational style of Michael Spivak's Calculus (now in its 4th edition, freely available on the web). Since the perspective of the article must be far wider than calculus (ideally, all of mathematics) the intuitive discussion on functions must also be wider. A suitable preamble to the formal definition might run as follows (after a few examples). (begin excerpt) In our examples, we have been writing f(x) for the "output value" of the function f for a given "input value" x. This immediately raises two questions: (a) for which values of x is f defined? and (b) if x is such a value, what, then, is the value of f(x)? (end excerpt). Answering those questions provides the justification for a simple formal definition to follow.

I hope this helps. Other work currently prevents me from providing more input or even having an occasional look at these pages. Boute (talk) 09:17, 3 March 2024 (UTC)

The most obvious purpose I can see is to avoid extra bookkeeping. It's easier to say e.g. a square matrix represents a function from $\mathbb {R} ^{n}\to \mathbb {R} ^{n}$ and not worry up front about noting that the image might be some restricted subset in degenerate cases. Etc. –jacobolus (t) 09:46, 3 March 2024 (UTC)

Casting aspersions

Your commentary towards Airship in the GAN discussion is over the bright line of casting aspersions. You ignored my polite request to strike or remove it and continued responding. You can discuss an editor's actions without making bad-faith assumptions about their motives. I am asking you once again to remove your aspersions or I will block you. ♠PMC♠ (talk) 03:00, 8 March 2024 (UTC)

Well, I see that you have chosen to respond to Airship at WT:GAN again and not even acknowledge this post, let alone strike your aspersions, so I have blocked you for 24 hours. I will be happy to remove it if you acknowledge this post and confirm you will strike your bad-faith comments. ♠PMC♠ (talk) 03:15, 8 March 2024 (UTC)

@Premeditated Chaos I didn't notice your talk page comment here until now, but this seems like an entirely disproportionate and entirely unnecessary site block, frankly quite abusive. Can you please lift it? I'd really like to get back to productively editing articles now, which was what I was otherwise in the middle of working on. Airship asked a concrete question about why people had a problem with math GARs, to which I was responding in good faith. We were in the middle of a conversation, and I was in the middle of replying to concrete questions. If you like I am entirely happy to not reply any further on Wikipedia talk:Good article nominations –jacobolus (t) 03:25, 8 March 2024 (UTC)

As I stated, I am happy to remove the block when you are willing to remove your bad-faith aspersions towards another editor. If you feel the need for me to be specific, your entire first paragraph accusing another editor in good standing of being on a power trip and personal crusade to remove GA status is absolutely beyond the pale. ♠PMC♠ (talk) 03:36, 8 March 2024 (UTC)

@Premeditated Chaos I can't make any edit at all. I am happy to strike the line you didn't like.

Here was my comment that was otherwise interrupted there, and couldn't go through:

Inre "WP:CALC" per se, math articles are not fundamentally different than any other kind of articles, in the sense that factual claims should typically be sourced to reliable sources. However, there are some differences in the way that plays out in practice: Specifically, it doesn't make any sense to try to add a separate citation to every step in a proof or derivation or every example calculation, which is the kinds of questions WP:CALC is focused on. Sometimes the argument from a paper needs several paragraphs to summarize/transmit in the body of an article, and requiring separate footnotes at the end of every paragraph of this doesn't help anyone. If a published paper contains a quick proof sketch it seems entirely fine (when otherwise appropriate in context) for an article to expand that for the sake of novice readers, and vice versa if the published paper contains a detailed proof it's fine to give a quick paraphrase. It also seems fine to use different variable names, add intermediate variables for legibility, simplify or reorder a proof, do non-novel types of algebraic manipulation, etc., so long as the idea is fundamentally the same. If you have a specific example in mind of where you are curious whether "WP:CALC" or "WP:BLUE" seems like an applicable standard or whether a claim should be cited to a specific source, people can give a clear opinion about it.

–jacobolus (t) 03:44, 8 March 2024 (UTC)

Confirming you are willing to strike or remove the entire first paragraph if I unblock you? I frankly have no interest or comment about the underlying dispute; it was the comments about his motivation that I consider problematic. ♠PMC♠ (talk) 03:48, 8 March 2024 (UTC)

@Premeditated Chaos That is correct. I am happy to strike the first paragraph. I still think GAR is a waste of time, and I would be happy to leave it to folks who care. –jacobolus (t) 03:50, 8 March 2024 (UTC)

Unblocked, thank you. ♠PMC♠ (talk) 03:59, 8 March 2024 (UTC)

Divison by zero

Hi Jacobolus, sorry if I overwrote your changes after your reversion.

There are couple questions that I'd like your input on. Do you think it makes sense to restrict to real functions? The statements make sense for complex functions too; that's why I removed the word "real".

The reason I required the numerator to be nonzero in addition to the denominator being zero is because this is necessary for the ratio to tend to infinity, as you surely know.

Do you think it is really necessary to require the denominator to be positive away from the point in question. It is pretty standard to say that 1/x tends to infinity as x approaches 0, and not just as x approaches 0 from the right. Maybe the denominator should be assumed nonzero in some punctured neighborhood, but I couldn't figure out an easy way to say this without making the statement sound more technical. Maybe you can figure out a way to do it.

In any case, we should be calling 0/0 the indeterminate form, not f(x)/g(x). Ebony Jackson (talk) 21:20, 9 March 2024 (UTC)

I tried to make my comments clearer on the "Division by zero" Talk page, so that we're not editing at cross purposes. Maybe you or someone else can incorporate them in a way that makes sense to you. Ebony Jackson (talk) 21:35, 9 March 2024 (UTC)

I replied on talk:division by zero. –jacobolus (t) 23:02, 9 March 2024 (UTC)

In appreciation

		The Barnstar of Integrity
		For your commitment to the project. I have thought many things of you (as I am sure you have of me) but that is one thing I have never doubted. ~~ AirshipJungleman29 (talk) 03:09, 12 March 2024 (UTC)

Thanks. Sorry to get heated. I'll try to tone down my initial responses, even when feeling frustrated.

(To be honest the biggest part of the daily frustration is how mediocre so many important wikipedia articles are, and how limited and uncoordinated expert editor attention is to work on it. Reading articles I haven't seen before, Wikipedia is simultaneously an amazing testament to years of dedicated collaboration, and a constant stark reminder of how far short it falls of its potential and its "responsibility" as the canonical source about every topic. There's just an overwhelming amount that needs to be done.) –jacobolus (t) 03:45, 12 March 2024 (UTC)

Tell me about it. The other thing about Mongolian history is that many articles were created to focus on the wrong things, or simply not created at all, and of course no one bothers to have a look at the whole. I noticed the other day that Mongol invasions of the Levant and Mongol raids into Palestine are essentially the same article, and have been duplicating each other since 2008! ~~ AirshipJungleman29 (talk) 11:55, 12 March 2024 (UTC)

Question concerning Munsell Color System diagram

The Munsell color system, showing: a circle of hues at value 5 chroma 6; the neutral values from 0 to 10; and the chromas of purple-blue (5PB) at value 5.

Hi, jacobolus.

I hope you are doing well. My name is Michał and I am writing a scientific paper about the formalization of psychological theories. I would like to use your cool diagram of the Munsell Color System in the paper. Please let me know if that is fine with you and if so how would you like me to cite it?

Thank you very much in advance for your responce

Best wishes

Michał MichalPS (talk) 20:07, 12 March 2024 (UTC)

Hi Michał. You can certainly use this diagram, so long as you abide by the terms of the CC-BY-SA-3.0 license, which you can read at creativecommons.org/licenses/by-sa/3.0. Specifically, any modifications you make to the diagram must be released under the same license, and you must give appropriate credit, for instance by including my name (Jacob Rus) the URL of the diagram (commons.wikimedia.org/wiki/File:Munsell-system.svg), and a mention of the CC-BY-SA-3.0 license. The exact position and formatting of these would depend on the formatting of your paper and the other images therein. If you click "more info" at the CC license description page there is further detail about this. –jacobolus (t) 20:20, 12 March 2024 (UTC)

Great, thank you very much! I do not plan to edit the diagram and I will credit you accordingly.

Thank you once again

Best wishes

Michał MichalPS (talk) 20:48, 12 March 2024 (UTC)

The previous page is less than updated

Newton's iteration in today's numerical analysis is much more than Raphson's version, which is the only version presented in the previous page. Furthermore, the convergence properties should be presented immediately after the method.

The previous page includes too much elementary stuff. This is a reference page, not a place for explanation. Fangong00 (talk) 01:19, 21 April 2024 (UTC)

@Fangong00 – Please take your concerns to talk:Newton's method. Wikipedia articles are intended for a general audience including readers with a wide range of preparation and interests. The first few sections of this particular article must be accessible to an audience of people with a high school level education, but I found your replacement version very difficult to make sense of even for people with extensive technical background.

Feel free to make the case on the talk page that this article needs to be written in a more general fashion with more advanced material toward the front. If you can establish a consensus for that position, it's possible it would stand. I am skeptical that you'll succeed at that though, as there are many other editors who are concerned that technical articles remain accessible (see WP:TECHNICAL). In any event, even if people do agree with you, the style and content of the early sections needs to be much clearer and more carefully written than your version. Perhaps you can recruit someone with strong writing skills to help you write a version which is more advanced but still legible. –jacobolus (t) 01:48, 21 April 2024 (UTC)

Aside: If you don't get enough engagement at talk:Newton's method, we can also try starting a discussion at the Wikiproject Mathematics talk page, where many of the participants are professional mathematicians or other serious experts. –jacobolus (t) 01:55, 21 April 2024 (UTC)

This cardinal feature should be on both the pages : METALLIC MEANS & PYTHAGOREAN TRIPLES

Relation between Metallic Ratios and Pythagorean triples

Metallic Ratios in Primitive Pythagorean Triangles

Metallic means are precisely represented by primitive Pythagorean triples.

In a primitive Pythagorean triple, if the difference between hypotenuse and longer leg is 1, 2 or 8, such Pythagorean triple accurately represents one particular metallic mean. The cotangent of the quarter of smaller acute angle of such Pythagorean triangle equals the precise value of one particular metallic mean.

Consider a primitive Pythagorean triple (a,b,c) in which a < b < c and c - b ∈ {1, 2, 8}. Such Pythagorean triangle (a,b,c) yields the precise value of a particular metallic mean $S_{m}$ as follows :

$S_{m}=\cot \left({\frac {\theta }{4}}\right)$

where θ is the smaller acute angle of the Pythagorean triangle and

$m=2{\sqrt {\frac {c+b}{c-b}}}$

For example, the primitive Pythagorean triple 20-21-29 incorporates the 5th metallic mean. Cotangent of the quarter of smaller acute angle of the 20-21-29 Pythagorean triangle yields the precise value of the 5th metallic mean. Similarly, the Pythagorean triangle 3-4-5 represents the 6th metallic mean. Likewise, the Pythagorean triple 12-35-37 gives the 12th metallic mean, the Pythagorean triple 52-165-173 yields the 13th metallic mean, and so on. 152.58.22.234 (talk) 10:40, 21 April 2024 (UTC)

References

I don't understand why you posted this on my talk page. –jacobolus (t) 10:47, 21 April 2024 (UTC)

Lemniscate functions and number theory

Hi Jacobolus,

I know you like digging old stuff and your expertise would be greatly appreciated here: [5].

Regards! A1E6 (talk) 19:52, 22 April 2024 (UTC)

@A1E6 I don't feel qualified to figure this out quickly, and don't want to spend too much time on it in the immediate future, sorry. –jacobolus (t) 19:58, 22 April 2024 (UTC)

DYK for Descartes' theorem

On 23 April 2024, Did you know was updated with a fact from the article Descartes' theorem, which you recently created, substantially expanded, or brought to good article status. The fact was ... that the discovery of Descartes' theorem in geometry came from a too-difficult mathematics problem posed to a princess? The nomination discussion and review may be seen at Template:Did you know nominations/Descartes' theorem. You are welcome to check how many pageviews the nominated article or articles got while on the front page (here's how, Descartes' theorem), and the hook may be added to the statistics page after its run on the Main Page has completed. Finally, if you know of an interesting fact from another recently created article, then please feel free to suggest it on the Did you know talk page.

 — Amakuru (talk) 00:03, 23 April 2024 (UTC)

		Hook update
		Your hook reached 15,382 views (640.9 per hour), making it one of the most viewed hooks of April 2024 – nice work!

GalliumBot (talk • contribs) (he/it) 03:29, 24 April 2024 (UTC)

"Turing recognizable" listed at Redirects for discussion

The redirect Turing recognizable has been listed at redirects for discussion to determine whether its use and function meets the redirect guidelines. Anyone, including you, is welcome to comment on this redirect at Wikipedia:Redirects for discussion/Log/2024 May 4 § Turing recognizable until a consensus is reached. 1234qwer1234qwer4 20:02, 4 May 2024 (UTC)

Modifying comment pages

You wrote "It is inappropriate to make spelling changes to comments on talk pages." I see no mention of spelling explicitly at WP:Talk page guidelines. Because there is no change of meaning nor any criticism of the original editors, it's hard for me to see why this would be frowned upon. And because it achieves the positive objective of removing an incorrect spelling that might otherwise be imitated, I considered it a positive contribution. —Quantling (talk | contribs) 17:49, 24 May 2024 (UTC)

@Quantling It is generally considered rude to make any kind of edit to other editors' comments, though sometimes people do stuff like fixing wiki syntax or template parameter errors, especially if they break formatting for other comments. I even find this to be excessive a lot of the time, but various people run "linters" which display annoying error messages for syntax errors on pages. But this spelling fix is not necessary, and we definitely don't want to have a precedent that everyone's comments get repeatedly copyedited by other Wikipedians. There's a high chance to cause annoyance or even disputes, for no real benefit. (Of course please fix spelling mistakes in articles.) You can see discussion on the policy page you linked, under WP:OTHERSCOMMENTS: It is not necessary to bring talk pages to publishing standards, so there is no need to copy edit others' posts. Doing so can be irritating. The basic rule, with exceptions outlined below, is to not edit or delete others' posts without their permission. The later exceptions include "Attributing unsigned comments", "Fixing format errors that render material difficult to read", and "Fixing layout errors", but not making spelling changes. –jacobolus (t) 00:12, 25 May 2024 (UTC)

@Quantling I archived the old comments. Does that help? –jacobolus (t) 01:20, 25 May 2024 (UTC)

Yes that is an elegant solution. Thank you. —Quantling (talk | contribs) 00:03, 27 May 2024 (UTC)

n-sphere fix request

Regarding this tag removal, the purpose of {{MOS}} is not to assist readers, but to request assistance from other editors to resolve Manual of Style non-compliance. I have already cleaned up MOS:BBB issues on dozens of articles this year, including a bunch today, and I could use help completing the cleanup. This article has lots of instances that need correcting, which go beyond simple exponents into more complicated math expressions. I think it is better left to editors more familiar with LaTex-style markup, if not the concepts in the article. -- Beland (talk) 04:02, 28 May 2024 (UTC)

@Beland That's fine, but for that a talk page message is (a) necessary, and (b) more than sufficient. Slapping an banner at the top just pokes readers in the eye to no benefit. –jacobolus (t) 06:09, 28 May 2024 (UTC)

Banners on articles are much more likely to get the attention of a someone willing to help out, including people who start out as readers but are recruited into becoming editors. Problem tags also categorize articles by problem and month, so volunteers can work through backlogs systematically. They are a well-established practice used on hundreds of thousands of articles. -- Beland (talk) 07:40, 28 May 2024 (UTC)

They are a horrible practice, one of the worst things to ever happen to the Wikipedia project. Unbelievably reader hostile but perpetuated by a small cabal of editors who love them and shout down anyone who objects. See User:Jorge Stolfi/Templates that I sorely miss for a humorous take. –jacobolus (t) 07:42, 28 May 2024 (UTC)

I don't find that level of hostility toward volunteers bumbling our way toward making a quality encyclopedia the best way we know how to be particularly helpful. It can't make editing Wikipedia all that fun if every little cosmetic disagreement is going to get blown out of proportion until it's a crime against humanity or the basis for a conspiracy theory. Compared to the nearly two-decade-long fact-checking backlog, the scandal over deleting the biography of a woman who went on to win a Nobel prize, declining editor involvement, and all the medical misinformation, libel, and historical fabrications making their way into Wikipedia from contributors ranging from bitter to paid to misguided, the cosmetics of problem boxes really should not be a big deal. -- Beland (talk) 08:09, 28 May 2024 (UTC)

The problem boxes are incredibly dramatic and reader hostile, make the project look cheap and tacky, and were clearly not designed with any input by anyone with any kind of UX design experience or ever tested on Wikipedia readers. If you wanted to make something more distracting you'd really have to work for it. Maybe Taboola ads or something would do the trick. –jacobolus (t) 08:16, 28 May 2024 (UTC)

Well, I respect your opinion, even though I don't agree with it. In this case, the problem box seems to have done its job, though perhaps for the wrong reasons. Thanks for converting n-sphere to LaTeX-style markup. -- Beland (talk) 08:23, 28 May 2024 (UTC)

Sorry, I don't mean to take my banner annoyance out on you or other miscellaneous Wikipedians. I just really hate the banners, and I wish everyone used talk pages instead for complaints about articles / solicitation of improvements. –jacobolus (t) 09:54, 28 May 2024 (UTC)

This kind of edit special:diff/1226033071 is really unhelpful. The hair spaces were clearly deliberate, and make the text more legible. You're just stomping someone's careful effort here. –jacobolus (t) 06:25, 28 May 2024 (UTC)

They may have been deliberate, but they were not consistent with other articles or even other instances in the same article. In the version right before I changed the hair spaces (23:49, 27 May 2024), some instances used hair spaces like n + 1 and some of them used full spaces like n + 1. I personally think this inconsistency looks bad. In determining which convention should be used, I look to Wikipedia:Manual of Style/Mathematics, where all the examples use full spaces. If you think hair spaces are preferable, you should seek consensus on the talk page there, so different editors are not working at cross-purposes. -- Beland (talk) 07:53, 28 May 2024 (UTC)

I noticed this discussion after I made a related edit to Quaternions and spatial rotation. If my edit is breaking a consensus, please accept my apologies and make the appropriate corrections. —Quantling (talk | contribs) 13:35, 28 May 2024 (UTC)

If you mean this one, special:diff/1226083493, then that is completely uncontroversial I think. No problem at all. Sometimes people add explicit hair spaces to adjust the spacing, and I think they should be generally left alone. But just wrapping mathematical content that was plain wikitext in a {{math}} template to match immediately adjacent other math templates is a welcome minor change. –jacobolus (t) 14:24, 28 May 2024 (UTC)

Reversion of my edit in Bezier curve

Moved to talk:Bézier curve § Number of lerps in De Castlejau's algorithm

Your reversion of my edit in Bezier curve was on incorrect grounds. The number of lerps is not a triangular number. The evaluation requires O(2^n) lerps because of the simple facts that it calls itself twice at each level and the problem size is reduced by 1 at each level, making it very inefficient and that should be noted. I would appreciate you un-reverting. Curtmcd (talk) 23:11, 12 June 2024 (UTC)

@Curtmcd This is incorrect. We do n lerps at the first level, then n-1 lerps at the next level, etc., down to one final lerp. The total number of lerps is the nth triangular number. If your implementation of this needs 2^n lerps, something is going very, very wrong. –jacobolus (t) 23:51, 12 June 2024 (UTC)

No, it is 2^n, because each level calls the next lower level of recursion B(t) *twice*. Given n control points, it takes exactly 2^n - 1 lerps to evaluate a single point of the curve. This ease of misunderstanding is an obvious justification for including this information in the Recursive definition section. For that reason, I ask that you undo the revert. Curtmcd (talk) 07:10, 20 June 2024 (UTC)

It looks like ${\textstyle \mathbf {B} _{\mathbf {P} _{j}\mathbf {P} _{j+1}\ldots \mathbf {P} _{k-1}\mathbf {P} _{k}}(t)}$ is computed only for ranges j through k rather than for all subsets of {0, ..., n}. As such, there are only O(n²) values to compute, not O(2ⁿ). The amount of computation for each one is O(1), so the runtime is looking like O(n²). The memory requirement looks like O(n) if one saves only the values for ranges of length l and l + 1 at any given time. —Quantling (talk | contribs) 13:37, 20 June 2024 (UTC)

I moved this discussion to talk:Bézier curve. –jacobolus (t) 16:44, 20 June 2024 (UTC)

1.6

I decided to go for the RFD since I just discovered another issue with the title: See Wikipedia:Redirects for discussion/Log/2024 July 24#1.6. Steel1943 (talk) 22:01, 24 July 2024 (UTC)

That sounds fine. –jacobolus (t) 22:28, 24 July 2024 (UTC)

Thanks for sine and cosine recommendations

I appreciate your recommendations on improving the article Sine and cosine. I have implemented and restructured the article. The remaining problems I have stated are in talk page. I think I can remove under-construction template right now. Dedhert.Jr (talk) 02:00, 6 August 2024 (UTC)

Indeterminate

Since you responded here, you might be interested in the significant edits that have been carried out recently by the same editor at Indeterminate (variable). --JBL (talk) 18:09, 22 August 2024 (UTC)

@JayBeeEll I don't really feel qualified to weigh on too much on the details. My impression is that the ring theory people adopted a longstanding word and gave it a slightly different connotation, and now their version is in wider use than the original sense. –jacobolus (t) 18:12, 22 August 2024 (UTC)

Discussion at WT:NFCC § Non-free no reduce

 You are invited to join the discussion at WT:NFCC § Non-free no reduce. -- Marchjuly (talk) 07:04, 26 August 2024 (UTC)

Reversion - Archimedes

Archimedes was a Siceliote. They were a subgroup of Ancient Greeks, similar to Doric/Ionic. I reverted to my edit. Siceliotes were culturally separate from their Greek counterparts on the other side of the Ionian Sea. This is an important cultural distinction that is vital for the wikipedia page. Robertclarke32 (talk) 01:15, 31 August 2024 (UTC)

@Robertclarke32, That's a good thing to have a discussion of at Siceliotes, Sicily § Antiquity, History of Greek Sicily, Syracuse, Sicily § Hellenistic period, etc., but it's being done in a way which is unsourced, distracting, and off topic at Archimedes. –jacobolus (t) 01:24, 31 August 2024 (UTC)

It's quite set in stone that Archimedes, alongside his Syracusean counterparts, were Siceliot. Virtually any Greek born to Greek parents in Sicily during this period were considered Siceliots, regardless of their origin (e.g. Doric)

It isn't necessarily off-topic as it provides his Hellenic regional/cultural background. Terming him Ancient Greek alone is far too vague, especially considering how diverse the Hellenistic period was during his lifetime. Robertclarke32 (talk) 02:10, 31 August 2024 (UTC)

@Robertclarke32, The lead sentence directly says that he was from Syracuse, Sicily. Anyone curious about what the ethnic or cultural groupings were like in 3rd century BC Sicily can go read about it at plenty of places in Wikipedia (beyond the ones I mentioned before there is also Magna Graecia, Greek colonisation § Magna Graecia: mainland Italy and Sicily, Sicilia (Roman province), ...) but it's an overly pedantic and distracting detail to put in the lead sentence of Archimedes for the vast majority of modern readers who have no idea what Siceliot means. –jacobolus (t) 03:54, 31 August 2024 (UTC)

DYK nomination of Laurence Patrick Lee

Hello! Your submission of Laurence Patrick Lee at the Did You Know nominations page has been reviewed, and some issues with it may need to be clarified. Please review the comment(s) at your nomination's entry and respond there at your earliest convenience. Thank you for contributing to Did You Know! Daniel Case (talk) 19:27, 5 September 2024 (UTC)

Your Archive comment

I'm going to ask that you reconsider posting this statement, which I'm sure was of good and noble intent, not because it isn't something worthy of discussion in some context, but because it is quite off-topic for the concern under discussion, which is whether link to the IA might violate our requirements regarding to linking to copyrighted content. Whether or not copyright violation might be good for my business is not part of our guidelines for consideration, and my response to a request for evidence that IA was pirating materials has turned the discussion into people wanting to explain to me how I should run my successful, long-running business because they would do differently in their rotisserie publishing league. -- Nat Gertler (talk) 12:47, 9 September 2024 (UTC)

@NatGertler I felt like many (most) of your comments there were off topic, basically a way for you to (mis)use Wikipedia's discussion page to vent about your unrelated dispute with the Internet Archive – or maybe the concept of libraries in general? – which would be better solved by talking to them directly, sending them DMCA takedowns, or similar. You are clearly very upset that one person at a time somewhere on the internet can read a copy of your book without having a physical copy, based on the theory that this is somehow stealing from you. As I said, I would be shocked if this has any non-positive effect on book sales, but maybe you don't care about the money and it's just the principle of having people be able to look at non-physical images of books or something? I guess I can respect that creators get picky about how their works are consumed. Either way, Wikipedia policy talk pages isn't the appropriate venue for the discussion. –jacobolus (t) 14:20, 9 September 2024 (UTC)

(I'm not sure what a "rotisserie publishing league" is, but I wouldn't turn down some tacos al pastor.) –jacobolus (t) 14:51, 9 September 2024 (UTC)

Section delete angle-angle-angle

https://en.wikipedia.org/w/index.php?title=Rotation_formalisms_in_three_dimensions&oldid=1244841770#Rotate_a_rotation_vector this representation is not included above...

'mostly' maybe. also the rotation matrix composition representation also isn't represented... and actually nothing at all about working directly from Euler Axis; rather Euler Axis turns into Euler angle usage for some reason. The refactoring of the math for the section - which I don't see why math would 'have' to be sourced - want the long hand identity substitutions explained better?

The equation/variable syntax is more based on computer source code rather than math; but that can be somewhat fixed - even if more meaningful to say 'forward' than '\alpha' or something IMO... that doesn't work as well with the latex-like expressions. What's to source other than the source it came from - [Quaternions and spatial rotation#The composition of spatial rotations|Rodrigues' composite rotation formula] ? is wikipedia not itself a reference - since anything already posted itself should already have the references associated? D3x0r (talk) 00:27, 10 September 2024 (UTC)

@D3x0r – can we keep discussion at talk: Rotation formalisms in three dimensions? Anyway, in general material discussed on any Wikipedia article should be sourced to "reliable sources" such as published textbooks or peer-reviewed journal papers. (A link to a Wikipedian's github project is not considered a reliable source by Wikipedia standards.) There are some excellent survey papers about rotation formalisms, such as Shuster, M.D. (1993), "A Survey of Attitude Representations" (PDF), Journal of the Astronautical Sciences, 41 (4): 439–517, which can be cited for most of the topics that might show up in an article like this. Beyond sources, I am having trouble understanding what the purpose, intended scope, or organization structure of the whole section was supposed to be, or how it was intended to fit with the rest of the article, and I find the text hard to make sense of: some parts seem wrong, and I can't figure out what other parts are trying to say. We should try to give sufficient narrative context to technical material like formulas and proofs so that readers can understand what they are looking at, and why it is there, but big chunks of this section are just heaps of formulas whose meaning and purpose is not made obvious. –jacobolus (t) 00:37, 10 September 2024 (UTC)

ITN recognition for Radha Charan Gupta

On 10 September 2024, In the news was updated with an item that involved the article Radha Charan Gupta, which you nominated. If you know of another recently created or updated article suitable for inclusion in ITN, please suggest it on the candidates page. Schwede66 01:08, 10 September 2024 (UTC)

Regular octahedron redirection

Yeah. Sorry, but has our discussion reached the point of redirecting regular octahedron as its own article? I would probably do so, but I think waiting for other users' opinions will take longer. Dedhert.Jr (talk) 03:15, 11 September 2024 (UTC)

I believe David Eppstein's suggestion is to keep the material about regular octahedra at the current article but move it to the title "regular octahedron", then split the other material from the page and move it to a new page created at the title "octahedron". I believe an administrator (such as David) would be needed to actually perform this move. –jacobolus (t) 03:18, 11 September 2024 (UTC)

Shang Numerals - Positional?

Hi @Jacobolus. I see you have worked in Hindu–Arabic numeral system and i am assuming you are more familiar with the topic than i am. A user Hu71f4 added about Shang numerals in the page claiming them to be positional and as a predecessor . However i cannot verify it with the sources provided. Nor is it a mainstream accepted position. I hope this issue might interest you and you might be willing to take a look into it. Thanks. 2409:4089:8283:54F2:6C59:CA7C:4137:8C46 (talk) 17:18, 21 September 2024 (UTC)

I definitely intend to clean up this and related articles at some point. They would benefit from significant expansion with better sourcing and a more balanced and neutral presentation.

The material added by @Hu71f4 is outright incorrect about fundamental factual details, is grossly misleading in its overall implication, violates WP:NPOV for pushing one fringe author's incoherent pet theory, and should be removed as currently written. There's probably some way to mention the topic that would be neutral and supportable by reliable sources, but it's going to be quite a slimmed down and skeptical version.

I just moved, am sick, and am busy with enough other projects to not have the mental capacity to work on this right now. I wish there were a larger number of competent editors interested in this topic who wanted to collaborate on bringing these articles to a higher standard. –jacobolus (t) 17:38, 21 September 2024 (UTC)

I looked into the sources and reverted (for example, no primary source titled "Rewriting the History of Our Numeral System" should be cited without solid secondary indications that the rewriting in question actually stuck...). But I too am short on time and capacity for this. XOR'easter (talk) 05:53, 23 September 2024 (UTC)

The figure in the disputed text includes only the first 9 columns of the table on page 260 of Chrisomalis' Numerical Notation: A Comparative History, thereby giving the wrong idea about how powers of 10 were actually handled and making the ancient system look more like the modern. I suspect that this is a topic area in which oversimplified factoids ("here is what Ancient Chinese numbers looked like!") proliferate without sufficient scrutiny in marginal literature. For example, I wouldn't trust a journal or book about grade-school arithmetic education to be trustworthy about any fine points of mathematics history. XOR'easter (talk) 06:37, 23 September 2024 (UTC)

@XOR'easter, The figure comes from an explicitly speculative passage ("an interesting hypothesis arises") in a (somewhat credulous) paper by Frank Swetz, here – and he just tacked the top onto an image from Karl Menninger's book Number Words and Number Symbols (german original, English translation). As you say, this and other variants have proliferated online. This whole discussion should probably happen on the article talk page though, rather than here. –jacobolus (t) 14:17, 23 September 2024 (UTC)

There is edit warring going on in the page. I guess that user might be eligible for 3 revert rule block. I did what i could. Hismajesty2b (talk) 17:40, 23 September 2024 (UTC)

Good point; bringing it back over there. XOR'easter (talk) 19:26, 23 September 2024 (UTC)

Oh, and the disputed text cites Needham, who is just wrong about what qualifies as a place-value system, as Chrisomalis points out on page 261. XOR'easter (talk) 09:18, 23 September 2024 (UTC)

was going to leave a comment asking about an edit deletion, but...

i see the page is littered with these already, and mine is probably one of the less defensible examples anyway. Instead I just want to point out that when you have this many intelligently spoken (i.e. not cesspool of the internet type commenters) asking why you removed their edit -- especially the ones about edits to TALK pages, which reminder is purportedly for the purpose of yaknow, discussing things, maybe it says something about whether you should consider adjusting your itchy trigger finger on dismissively deleting other's contributions?

Again, my own edit's example is a poor one. It was a light hearted joke that was not off-topic (meaning that yes, it was a lighthearted joke akin to a pun, but it was actually specifically about the article's subject, contrary to your revert summary saying it was off-topic) on the discussion page of an article. Given your own talk page is littered with people coming with the same question as me, does this perhaps suggest something...? — Preceding unsigned comment added by 76.174.113.253 (talk) 20:15, 1 October 2024 (UTC)

I don't understand the context of your comment, or what you are trying to say. Can you be more specific and explicit? If you are just remarking that people start discussions after their edits were reverted, that is normal on Wikipedia – people make edits in good faith, other people revert them in good faith, and then the subject is further discussed on (article and personal) talk pages. Feel free to look at the specific edit(s) in question and chime in about specific edits or reverts you believe were mistaken or inappropriate. –jacobolus (t) 20:48, 1 October 2024 (UTC)

The context was special:diff/1174403233 to Talk:Charles Sanders Peirce. The removed comment, which was (a) in the wrong place, and (b) completely inappropriate for a Wikipedia talk page, was "How’s it possible nobody ever told this gentleman his last name is spelled wrong? Strains credulity… (smh)". See WP:NOTFORUM. –jacobolus (t) 21:40, 1 October 2024 (UTC)

A barnhedron!

	The Great Barn-stellated Dodecahedron
	I just wanted to show appreciation for your recent level-headed, inclusive engagement in discussion about mathematics-related articles. In general, you're always patient with me and others, and always enable a constructive environment. Remsense ‥ 论 17:18, 5 October 2024 (UTC)

Oh wow, thanks! I feel like I'm stubborn and sometimes abrasive (and I'm not sure I always live up to "level-headed"), but I do try to explain myself and work things out by consensus where possible. Thanks to you too, Remsense, for your sensible comments on recent discussions. –jacobolus (t) 17:24, 5 October 2024 (UTC)

Pages for other trig functions

Hello, you may or may not remember that a year ago, we had a discussion where we talked about the inconsistency of Sine and cosine getting a page of their own while all of the other trigonometric functions have to be merged onto one article. You suggested making separate pages for the other trig functions along with their respective cofunctions. Have you made drafts for those pages? How goes the process? Snipe (talk) 05:22, 6 October 2024 (UTC)

I have not made such articles, but I still think it's a good idea. I would recommend using titles tangent (trigonometry) and secant (trigonometry). Feel free to work on this if you feel motivated. –jacobolus (t) 05:39, 6 October 2024 (UTC)

Indeterminate history

Hi, I wanted to talk about the sources you mentioned in the Indeterminate (variable) talk page about the term's origin. Specifically, I wanted to go over how we explain these descriptions.

First, you originally noted these as the origins for the transcendental definition, however, going through them, none of these appear to say that? In fact, (unless I'm misreading) many mention defining an indeterminate as, specifically, the root of a polynomial. I don't quite see how this relates to the topic of the article.

Second, how would you want to explan this origin? The article currently says that the term "was initially introduced for distinguishing a polynomial from its associated polynomial function", however, (again, unless I'm misunderstanding) none of the sources talk about polynomial functions at all. So, how would you suggest explaining this origin?

Farkle Griffen (talk) 04:55, 7 October 2024 (UTC)

Kronecker credits Gauss, and the origin is precisely distinguishing a variable-as-unknown-value from a variable-as-formal-placeholder. Kronecker's use is in his project of reducing all types of mathematical number calculations to natural-number arithmetic by recasting negative numbers, division, imaginary numbers, etc. as certain equivalence classes of natural number arithmetic using indeterminate integers – here the indeterminate stands not for any particular value, but can be any arbitrary integer, in a congruence.

It might be worth emailing someone who is actually an expert on this topic – that would not be me. –jacobolus (t) 05:18, 7 October 2024 (UTC)

Touch-base on Indeterminate (variable)

Here's the thing; I think we're saying the same thing, but we're getting caught up on a very minor detail. I really do think we agree on nearly everything here.

As you put here: "Moreover, all of the variations in senses of "indeterminate" you have identified are essentially the same unified concept, of a generic/purely symbolic placeholder coming from outside / without a value meaningful within what Kronecker called a "domain of rationality". Making a big deal about the different contexts where such a concept appears being "different definitions" is substantially misleading to readers compared to a description of these as "essentially the same idea but adapted for slightly different contexts"."

I completely agree. I agree; all of these definitions are different ways of saying the same thing. Which is why, looking back, I'm a bit confused as to why you seem to dislike my version of the lead so much? To be clear, my preferred version is the current version, not the one mentioned in the WikiProject:Mathematics talk page. I've taken yours and Tito's advice and removed the long, overly-technical paragraphs from the lead, and I've kept most of D.Lazard's preferred version.

Apart from using "symbol" instead of "variable", what exactly do you dislike about the current version of the lead? I can work on improving it if I know what you dislike. Farkle Griffen (talk) 19:17, 7 October 2024 (UTC)

As a side note, I don't mind calling indeterminates "a kind of variable", my issue is with defining them as a kind of variable. However, we can discuss more about this later Farkle Griffen (talk) 19:24, 7 October 2024 (UTC)

I would recommend keeping this discussion on the relevant talk page. I don't understand why you are bringing it here. –jacobolus (t) 20:22, 7 October 2024 (UTC)

The discussion was getting kinda long and seemed to be building disdain. This was an attempt to isolate me and you, touch base, slow down, and talk a bit about the topic a bit more informally without taking up space on the talk page. However, we can continue over there if you prefer. Farkle Griffen (talk) 21:02, 7 October 2024 (UTC)

@Farkle Griffen Sorry if it seemed disdainful. I don't think that was anyone's intent, and I'm really not trying to be a jerk or be insulting etc. I think D.Lazard (who is an emeritus French math professor) got frustrated because he felt like he was repeating himself but not getting through. There's definitely a bit of a disconnect between his (putting words in his mouth here) "in my lifelong experience as a mathematician here's what I understand this word to mean" premise vs. your (now putting words in your mouth) "here are a couple of sources that seem to contradict your understanding" premise. I hope my (or anyone's) responses don't seem personal, or dismissive. I definitely think there's some room for improvement of that article, especially by elaborating the various contexts where the indeterminate concept appears. –jacobolus (t) 03:40, 8 October 2024 (UTC)

the current version – yes, the current version is worse than the previously stable version preferred by D.Lazard, and should be reverted. –jacobolus (t) 20:23, 7 October 2024 (UTC)

Okay... I've reverted it. What exactly did you dislike about it, apart from the "variable symbol"? I asked the same question on the talk page, so you can respond there if you prefer. Farkle Griffen (talk) 21:04, 7 October 2024 (UTC)

Sixth axiom in Euclidean Geometry

The sixth axiom is given in the NCERT (2022-23 edition) maths book for class IX, Chapter 5. So, it should be on the Wikipedia page (also, it is not a wrong statement and it is one of Euclid's main axioms). Can you please explain clearly why my edits have been reverted? Link: Euclidean geometry 122.176.122.147 (talk) 04:01, 21 October 2024 (UTC)

NCERT is not a good source for this kind of thing. Heiberg considered 5 common notions to be genuine, and those 5 can be found in most editions and translations of Euclid to be found today. I'm not quite sure what the provenance is of the one you added. It would be helpful if our article about Euclid's Elements did a better job addressing such questions – it's currently not great. Feel free to do further research about this. –jacobolus (t) 04:16, 21 October 2024 (UTC)

Cuemath, BYJU's and study'n'learn (famous websites) also approve of the sixth axiom. Are any of these reliable? 122.176.122.147 (talk) 11:25, 22 October 2024 (UTC)

No, if you are interested to add material about this (to the article Euclid's Elements, not Euclidean geometry) you should be looking for scholarly sources (such as peer-reviewed journal papers by mathematical historians) discussing the best available textual evidence about when extra common notions were added to Euclid's and by whom. I am not an expert in this topic. doi:10.1007/s10699-020-09694-w says:

Following the textual indications of these commentaries and other philological considerations, Johan Ludvig Heiberg produced a critical edition of the Elements containing five of these common notions [...]

This list is accepted nowadays by most historians of mathematics, all of whom agree with Heiberg’s excision of many other principles from the text. Nonetheless, a few authoritative scholars, such as Thomas Heath or Ian Mueller, have doubted the authenticity of the last two common notions in Heiberg’s list, therefore reducing Euclid’s original κοιναὶ ἔννοιαι to three statements only.

Since there is no consensus on the matter, I offer here a survey of the current evidence for the authenticity of Heiberg’s five common notions and some new grounds for debate. In particular, in Sect. 2 I offer textual arguments based on the reference to common notions in the propositions of the Elements as well as in indirect ancient sources. I show that, while CN1–CN3 are solidly embedded in the Euclidean text and often mentioned in the earlier Greek tradition, CN4 and CN5 are only tenuously connected with the text of the Elements and do not appear in other ancient sources before the fifth century CE. I conclude that the last two common notions are most probably spurious and I advance the conjecture that they were interpolated by Theon of Alexandria.

This is the type of thing I think would be good to discuss in Euclid's Elements, if you want to do more literature review. –jacobolus (t) 14:40, 22 October 2024 (UTC)

Ok, thanks! 122.176.122.147 (talk) 03:30, 23 October 2024 (UTC)

(talk page jaguar) As they explained in their edit summary, the "sixth common notion"—which is not an axiom, just to be clear—simply does not appear in the text of Euclid's Elements. You might be misunderstanding your source, or the source could be wrong, but if it says what you cited it for, it is in disagreement with most secondary sources as well as the original work. — Remsense ‥ 论 04:17, 21 October 2024 (UTC)

Google search reference

Also, can we use google search page as a reference in Wikipedia? (This does not have anything to do with Euclid's axioms.) 122.176.122.147 (talk) 03:38, 23 October 2024 (UTC)

No, a google search page is not a "reliable source" by Wikipedia standards. However, the resources found using a google search are often helpful. –jacobolus (t) 03:53, 23 October 2024 (UTC)

Thank you. 122.176.122.147 (talk) 03:59, 23 October 2024 (UTC)

Cube

Almost all of the article Cube is complete, yet still feels not well-covered. Is there anything missing in the article Cube before I'm heading to the nomination? I might need your suggestion in this case, but my apologies if you have some other things to do. Dedhert.Jr (talk) 11:38, 29 October 2024 (UTC)

Among other topics, I would add something about the unit-sided cube as a canonical unit for measure of volume in Euclidean space, and something about cubical grids as the most common coordinate system also used for all sorts of other purposes throughout math and science. (I don't think an off-hand link to Cubic honeycomb really does this topic justice.) –jacobolus (t) 20:35, 29 October 2024 (UTC)

Unit-sided cube as a canonical unit? Cubical grids as most common coordinate system? Never heard of it. But speaking of the unit-sided cube, my thought is that this can be included in Unit cube, though it is also possible to include it as well. Might need to merge the unit cube article into the cube. Dedhert.Jr (talk) 02:28, 30 October 2024 (UTC)

A 1x1x1 cube is the standard definition of 1 unit of volume. The most common coordinate system is a square/cubical grid, see Cartesian coordinate system (though I think our definition at that article should be broadened to include oblique coordinates). –jacobolus (t) 02:30, 30 October 2024 (UTC)

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exponentiation table

with reference to https://en.wikipedia.org/wiki/Exponentiation#Particular_bases i see that my table has been removed, perhaps in part because it is a large exhibit that does contrast to the rest of the article - but i argue that something like it would make it easy for, say, a high school student, to clearly see
1) the distinction between BASE and EXPONENT,
2) a clear difference between how the 3 bases behave, and
3) what kind of magnitudes result when those bases and 21 exponents are combined in a tabular way.
so is there some way we could do this? Lee De Cola (talk) 20:49, 21 November 2024 (UTC)

Moved to Talk:Exponentiation § table of powers of 2, e, and 10

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There is currently a discussion at Wikipedia:Administrators' noticeboard/Incidents regarding an issue with which you may have been involved. Thank you.---Wikaviani ^{(talk) (contribs)} 14:42, 10 December 2024 (UTC)

Dois

I think you have a misunderstanding of dois. Dois are not cryptic ways of writing urls. They do not refer to urls. They refer to documents (or other things). There is a translation service at doi.org that looks up the url or urls associated with a document and points you to it or to one of them. If the link changes, the doi does not change. If jstor ever changes how its documents are linked, the doi should still work. If a journal's archive moves from jstor to another provider, the doi should still work (although this is not always the case in practice, it is better than a dead url). For this reason we should always provide the doi when we have it, even when it goes to the same place as some other link.

Another reason for always providing dois is that some publishers require them for references, to enable links to the referenced work, so including them in our citations is convenient for authors who copy our references. They don't have to go running around to other places to find the rest of the metadata they need to cite.

I do think some other ids are useless noise (s2cid, isbn, issn, etc) but not this one. —David Eppstein (talk) 08:06, 15 December 2024 (UTC)

That's fine, but having multiple links pointing the same place is still not really that useful, even if those links might eventually change to point somewhere else. It's significantly more useful to have two links that point to different places, in case readers have access to one or not the other, and in cases where two links point the same place it's usually most convenient to take one of them out. I'm not too worried about JSTOR changing their URL scheme: If they do that they should set up their server to redirect all of the old URLs, and the template here can be changed to reflect the new URL scheme. If they throw out all of their numerical identifiers we'd have to do more significant work to fix things here, but that seems unlikely. –jacobolus (t) 13:14, 15 December 2024 (UTC)

Again, they do not point to the same place. The jstor links go directly to jstor. The doi links go to a resolver which can choose dynamically where they go. It might be the case that currently for you they go to jstor but they might not later or they might not now for other readers. —David Eppstein (talk) 20:27, 15 December 2024 (UTC)

I understand how it works. What I'm telling you is that having one link that goes directly to JSTOR and a different link written adjacent to it that goes to a proxy at doi.org which currently redirects everyone who clicks on it to the same JSTOR page but might in the future be updated to point to some other website is not very independently useful to readers, today. I don't have any particular preference between the DOI and the JSTOR link, but we should generally only keep one of the two when they are redundant like this. Having both is of low marginal value, not worth the additional clutter. Having a JSTOR link and a doi that instead points at TandF or Springer or Elsevier or wherever is significantly more useful to readers, since they might plausibly have access to one of these but not the same article hosted at JSTOR, or vice versa. –jacobolus (t) 20:38, 15 December 2024 (UTC)

A barnstar for you!

	"This spinning steel is definitely my weapon."
	For your helpful edits to the Golden ratio article ☩ (Babysharkboss2) 17:49, 20 December 2024 (UTC)

Product series of cosine

Hi! I see that you reverted my edit on https://en.wikipedia.org/wiki/List_of_trigonometric_identities with the comment that it's the same thing. I think it's not, really! The difference is that the first argument ${\theta _{1}}$ does **not** have a varying sign.

Case in point – look at the first identity in the block, $\cos \theta \cos \varphi$ and compare to the product series formula that is currently on the page – if it's true, it would expand to ${\tfrac {1}{4}}{\bigl (}\!\!~\cos(-\theta -\varphi )+\cos(-\theta +\varphi )+\!\!~\cos(\theta -\varphi )+\cos(\theta +\varphi ){\bigr )}$.

Am I missing something? Let me know. Petuniabowl (talk) 18:23, 20 December 2024 (UTC)

@Petuniabowl: You are missing that ⁠$\cos(\theta +\varphi )=\cos(-\theta -\varphi )$⁠, so that ⁠${\tfrac {1}{2}}\cos(\theta +\varphi )={\tfrac {1}{4}}{\bigl (}\cos(\theta +\varphi )+\cos(-\theta -\varphi ){\bigr )}$⁠. Basically every pair of terms in the article's previous formula collapses down to a single term in your version. The content is the same, but I like the previous one because it is more symmetrical in terms of all of the angles, instead of picking out a specific one to always be positive. –jacobolus (t) 18:54, 20 December 2024 (UTC)

Ah, got it. Thanks! I did miss that indeed. Petuniabowl (talk) 19:52, 20 December 2024 (UTC)