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== Sexist content edit summary ==
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Is this considered [https://en.wikipedia.org/w/index.php?title=Susan_Assmann&diff=1302560473&oldid=1298070187 sexist content]. {{u|Solomon7968}} has been removing [[Erdős number]]s from articles with that edit summary. Here is an [https://en.wikipedia.org/w/index.php?title=User_talk:Solomon7968&oldid=1301138373#Erdos_Numbers old talk page discussion], which references this project, hence the reason I am asking here. Thanks.[[User:Isaidnoway|<b style="font-family:Times New Roman; color:blue"> ''Isaidnoway'' </b>]][[User talk:Isaidnoway|<b style="font-family:Times New Roman; color:#03B54F">''(talk)''</b>]] 14:52, 27 July 2025 (UTC)
==Current active content discussion==
''Please edit this section to keep it up to date (major topics only)''
 
: It could be the case that we list Erdos numbers for a lot a women in mathematics, but not many men. The same editor is also removing Erdos numbers from male mathematicians. There's a discussion to be had whether Erdos numbers should be listed at all, unless they are discussed in secondary sources. [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 15:23, 27 July 2025 (UTC)
See
::I've seen multiple removals by the same editor on articles about men, and the "sexist content" summary on only one article, despite having many more women mathematicians than men on my watchlist, so I suspect that any disparity in how often we list it goes the other way. Anyway, I don't see how it is sexist. Trivial, arguably, but it does give some indirect indication about how well-connected to topics of interest to Erdős (like combinatorics) the subject is. If the subject had significant and noteworthy interactions with Erdős himself we should definitely list it but I don't think listing or not listing these numbers is important. —[[User:David Eppstein|David Eppstein]] ([[User talk:David Eppstein|talk]]) 15:36, 27 July 2025 (UTC)
:::I first noticed the "sexist" edit summary on an article you created, [https://en.wikipedia.org/w/index.php?title=Hilda_Assiyatun&diff=1302560754&oldid=1281361889 sexist content]. I [https://en.wikipedia.org/w/index.php?title=Hilda_Assiyatun&diff=next&oldid=1302560754 restored it] as I trusted your judgment for including it in the first place.[[User:Isaidnoway|<b style="font-family:Times New Roman; color:blue"> ''Isaidnoway'' </b>]][[User talk:Isaidnoway|<b style="font-family:Times New Roman; color:#03B54F">''(talk)''</b>]] 15:44, 27 July 2025 (UTC)
::::I suspect the "sexist" summary may have been a misinterpretation of my wording there. It said "Through her collaborations with Wormald, she has Erdős number 2." That was intended only to mean that the path from her to E runs through W, but it could have been (incorrectly) misinterpreted as a sexist statement that her own accomplishments were not hers but W's. —[[User:David Eppstein|David Eppstein]] ([[User talk:David Eppstein|talk]]) 16:14, 27 July 2025 (UTC)
::::: A counterexample to this interpretation is [https://en.wikipedia.org/w/index.php?title=Maryam_Mirzakhani&diff=prev&oldid=1302559609 this]. [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 16:24, 27 July 2025 (UTC)
::Yes, I now see that they have gone on a spree removing Erdos numbers from mathematician articles, but in the male mathematicians, the removal is classified as [https://en.wikipedia.org/w/index.php?title=Yefim_Dinitz&diff=prev&oldid=1302561067 trivia], but in the female articles, it is sexist. This topic is outside my purview, so I'll leave it up to more experienced editors on this topic as to whether the number removals are trivial or sexist, and whether they should be removed at all. Thanks.[[User:Isaidnoway|<b style="font-family:Times New Roman; color:blue"> ''Isaidnoway'' </b>]][[User talk:Isaidnoway|<b style="font-family:Times New Roman; color:#03B54F">''(talk)''</b>]] 15:37, 27 July 2025 (UTC)
::: I have reverted all of the removals. Perhaps these are trivial, but that is a matter for community consensus. I note that in several instances the editor removed Erdos numbers on the basis that the paper for which the subject gained that number was "not his most widely cited one", which seems to have no conceivable basis in policy. [[User:BD2412|<span style="background:gold">'''''BD2412'''''</span>]] [[User talk:BD2412|'''T''']] 17:31, 27 July 2025 (UTC)
: IMO the edit summary is clearly inappropriate and not a valid justification for the edit. (Maybe better justifications for some of these edits are possible, though.) --[[User:JayBeeEll|JBL]] ([[User_talk:JayBeeEll|talk]]) 18:11, 27 July 2025 (UTC)
::Whether it's for male or female mathematicians, listing the Erdos number of someone is trivia and it seems perfectly acceptable to me to remove it. [[User:PatrickR2|PatrickR2]] ([[User talk:PatrickR2|talk]]) 21:14, 27 July 2025 (UTC)
::It seems reasonable to me that the Erdős number is trivial information unless there's something significant (like the decreases from posthumous papers, or the one that was described as filling a much-needed gap), though at the point where you're doing mass removals and getting challenged you should definitely try to get consensus.
::And the description as sexist is just confusing. [[User:Sesquilinear|Sesquilinear]] ([[User talk:Sesquilinear|talk]]) 22:29, 27 July 2025 (UTC)
:Talking about the article on [[Susan Assmann]], which triggered this discussion, the Personal life section says she was interested in change ringing and hapsichord music. True facts, but it also seems rather trivial in an encyclopedic article about a scientist. What would be the rationale for including this? [[User:PatrickR2|PatrickR2]] ([[User talk:PatrickR2|talk]]) 21:21, 27 July 2025 (UTC)
::(1) Because articles that give only the basic dates of career-relevant milestones are skeletal and boring. If we have sourced publications about some other interests, that can make the article less dry. It's a helpful to convey to our readers the idea that mathematicians aren't robots. (2) Change ringing is actually extremely relevant for someone who started out working in discrete mathematics. (3) If a notable mathematics society saw fit to include this in a professional obituary, why should we second-guess that decision? —[[User:David Eppstein|David Eppstein]] ([[User talk:David Eppstein|talk]]) 21:35, 27 July 2025 (UTC)
:::Thanks for enlightening me. [[User:PatrickR2|PatrickR2]] ([[User talk:PatrickR2|talk]]) 22:32, 27 July 2025 (UTC)
::Why would [[Isaac Newton]]'s interest in alchemy be relevant to his biography? Or that [[Milton Babbit]] also worked as a mathematician? [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 21:38, 27 July 2025 (UTC)
:[[Wikipedia_talk:WikiProject_Mathematics/Archive/2017/May#Erd%C5%91s_numbers]] is the archived discussion, where there seems to have been a rough consensus that Erdős numbers only should be mentioned when the number itself is significant or linked through a significant paper. (I think this also explains where the "not most cited paper" thing came from, which I think might be over-reading the consensus, but I can at least trace the path) [[User:Sesquilinear|Sesquilinear]] ([[User talk:Sesquilinear|talk]]) 17:17, 28 July 2025 (UTC)
::I'd like there to be some sort of formal discussion on this topic now, rather than relying on a discussion from 8 years ago. My personal opinion: although I agree that having mention in a biography's lead paragraphs is often not warranted, a single sentence in, say, a Background section is fun. The reader who doesn't care is burdened with one small sentence that can easily be ignored. The reader who finds this interesting is rewarded with that little nugget of information. Because the cost is so small (i.e. "{{tq|<Author> has an [[Erdős number]] of 3.}}"), I'm in favor of keeping this information in biographies. (Disclaimer, in case it is relevant: several someones I know who have pages on Wikipedia have Erdős numbers of 3 or less.) —[[User:Quantling|<span class="texhtml"><i>Q</i></span>uantling]]&nbsp;([[User talk:Quantling|talk]]&nbsp;&#124;&nbsp;[[Special:Contributions/Quantling|contribs]]) 18:27, 28 July 2025 (UTC)
 
::: I don't mind having the Erdős number listed in articles. I'm strongly opposed to its mass removal without consensus. I'm strongly opposed to removing it from any article because of supposed sexism. - [[User:CRGreathouse|CRGreathouse]]<small> ([[User talk:CRGreathouse|t]] | [[Special:Contributions/CRGreathouse|c]])</small> 19:08, 28 July 2025 (UTC)
*[[Talk:Mathematics]]
::::Forget about sexism. That was a red herring. The issue is about triviality. [[User:PatrickR2|PatrickR2]] ([[User talk:PatrickR2|talk]]) 23:16, 28 July 2025 (UTC)
*[[Talk:Covariance and contravariance]]
::::: Definitely the key point, on which there is no solid consensus. [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 23:18, 28 July 2025 (UTC)
*[[Talk:Galois theory]]
::::::If it's included, I'd prefer that it be included with some other related detail, such as the nature of the research or the names of the collaborators that led to the number. The number itself, devoid of context, is not particularly interesting. —[[User:David Eppstein|David Eppstein]] ([[User talk:David Eppstein|talk]]) 23:35, 28 July 2025 (UTC)
*[[Talk:Manifold]]
:::::::I agree that there should be context around the number. In general, I think only Erdos numbers 3 and less should be reported. As you get to larger Erdos numbers, the meaning of the number has less meaning as a person is more likely to be in a different discipline and not have much to do with Erdos. A few exceptions would be an academic descendent of someone with Erdos 1, or every paper between Erdos and the person is on the same problem. Thus, context would be leading why we list the number, and a number with no context would encourage people to write about the context or realize that it is trivial (like someone with Erdos number 17 is just weird to list). [[User:EulerianTrail|EulerianTrail]] ([[User talk:EulerianTrail|talk]]) 00:09, 13 August 2025 (UTC)
::::::::It might be interesting to see in the future an infobox parameter listing Erdos numbers, but for right now I think it better to decide on how we actually talk about Erdos numbers and which ones are truly notable. [[User:EulerianTrail|EulerianTrail]] ([[User talk:EulerianTrail|talk]]) 00:11, 13 August 2025 (UTC)
:::I'm fine with including it, since the cost of even a fuller description is small ("<Author> has an Erdős number of 3, thanks to..."). It can make an article a tiny bit less dry, and it doesn't require problematic [[WP:OR|Original Research]] on our part. [[User:Stepwise Continuous Dysfunction|Stepwise Continuous Dysfunction]] ([[User talk:Stepwise Continuous Dysfunction|talk]]) 01:21, 29 July 2025 (UTC)
::I support the removal of the Erdos number from articles in most cases. Some supporting arguments:
::- (1) It is kind of a triviality.
::- (2) The number can change as new papers get published, based on who an author collaborates with.
::- (3) This information is available online, at the click of a button: https://www.csauthors.net/distance/. For example, this shows Susan Assmann's Erdos number is 2: https://www.csauthors.net/distance/susan-f-assmann/paul-erdos.
::- (4) I may remember things wrong, but isn't there a general Wikipedia guideline that says Wikipedia is not the place for routine information that can be gathered routinely from the internet? [[User:PatrickR2|PatrickR2]] ([[User talk:PatrickR2|talk]]) 23:41, 28 July 2025 (UTC)
:::Why should information be removed from Wikipedia just because it is easily found elsewhere too? Many other places on the Internet will say that Paris is the capital of France, that zebras have stripes, that the area of a circle is <math>\pi r^2</math>, etc. {{pb}} And if a person's Erdős number changes, we can always edit the article. We include plenty of things in academic biographies that are subject to change, e.g., a person's current title and place of employment. [[User:Stepwise Continuous Dysfunction|Stepwise Continuous Dysfunction]] ([[User talk:Stepwise Continuous Dysfunction|talk]]) 01:14, 29 July 2025 (UTC)
::::Also some random website that claims to be only about "computer scientists [sic] bibliographies" does not seem like a great source for this information about people who are not computer scientists, the Erdős Number Project only counts up to two, and the [https://mathscinet.ams.org/mathscinet/collaborationDistance.html MathSciNet distance calculator] doesn't let you check what the joint publications are (necessary to check whether they should really count as joint publications) unless you have a subscription. —[[User:David Eppstein|David Eppstein]] ([[User talk:David Eppstein|talk]]) 01:55, 29 July 2025 (UTC)
:::::The zbmath version is open access: https://zbmath.org/collaboration-distance/?a=David+Eppstein&b=Paul+Erdos [[User:PatrickR2|PatrickR2]] ([[User talk:PatrickR2|talk]]) 03:44, 29 July 2025 (UTC)
::::[[WP:NOTDIRECTORY]] is what I was thinking about. But maybe not applicable. [[User:PatrickR2|PatrickR2]] ([[User talk:PatrickR2|talk]]) 03:37, 29 July 2025 (UTC)
:::::I don't see anything there that would be applicable to this question. We're not talking about making a directory of all professional mathematicians, or a complete bibliography of all mathematical publications, or even a list of all the publications by any individual mathematician. [[User:Stepwise Continuous Dysfunction|Stepwise Continuous Dysfunction]] ([[User talk:Stepwise Continuous Dysfunction|talk]]) 03:43, 29 July 2025 (UTC)
::::::Agree, not applicable. [[User:PatrickR2|PatrickR2]] ([[User talk:PatrickR2|talk]]) 03:44, 29 July 2025 (UTC)
Has [[User:Solomon7968]] been notified that this discussion is happening? [[User:Michael Hardy|Michael Hardy]] ([[User talk:Michael Hardy|talk]]) 19:00, 12 August 2025 (UTC)
 
:{{ping|Solomon7968}} now he has been ping [[User:EulerianTrail|EulerianTrail]] ([[User talk:EulerianTrail|talk]]) 23:43, 12 August 2025 (UTC)
for some of the more important content discussions now active in this WikiProject.
:Yes https://en.wikipedia.org/w/index.php?title=User_talk:Solomon7968&diff=prev&oldid=1303015606 quite some time ago. Has only made one edit since. [[Special:Contributions/173.79.19.248|173.79.19.248]] ([[User talk:173.79.19.248|talk]]) 01:40, 13 August 2025 (UTC)
 
== Is there a term for a number that can only be calculated by the multiplication of two other specific numbers? ==
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For example, the number 15 is 5 x 3, but there are no other positive whole numbers that can be multiplied to get 15, as compared to, say, 45, which could be 15 x 3 or 5 x 9 or 3 x 3 x 5. Also, is it correct that the product of any two primes will only be calculable by the multiplication of those primes (such as 64,507 only being reducible to 251 x 257)? [[User:BD2412|<span style="background:gold">'''''BD2412'''''</span>]] [[User talk:BD2412|'''T''']] 17:04, 29 July 2025 (UTC)
==Nominated article==
: [[semiprime]] [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 17:12, 29 July 2025 (UTC)
{{SampleWikiProject}}
:: Interesting. Thanks. It seems that all the number articles on numbers with this characteristic note this as well. [[User:BD2412|<span style="background:gold">'''''BD2412'''''</span>]] [[User talk:BD2412|'''T''']] 02:10, 31 July 2025 (UTC)
{{ping|BD2412}} Note that in Wikipedia articles one should write 5&nbsp;×&nbsp;3 rather than 5&nbsp;x&nbsp;3. [[User:Michael Hardy|Michael Hardy]] ([[User talk:Michael Hardy|talk]]) 20:14, 14 August 2025 (UTC)
 
:And if you cannot make &times; conveniently, it's &&shy;times&shy;;. [[User:Tamfang|—Tamfang]] ([[User talk:Tamfang|talk]]) 03:43, 17 August 2025 (UTC)
*I nominate [[Lebesgue integral]]. [[User:Charles Matthews|Charles Matthews]] 08:17, 19 Feb 2004 (UTC)
** Hello Charles. I do like the Lebesgue integral article, although it gets bogged down toward the end -- it seems like the discussion sections can be tightened up quite a bit. Comments? [[User:Wile E. Heresiarch|Wile E. Heresiarch]] 02:33, 8 Apr 2004 (UTC)
***Always room for improvement. I chose it mainly because it touches all the major bases (motivation, some history, towards applications, picture, real content), so is quite a good template. [[User:Charles Matthews|Charles Matthews]] 06:31, 8 Apr 2004 (UTC)
* I second the nomination for [[Lebesgue integral]]. I'll also nominate [[Bayes' theorem]]. [[User:Wile E. Heresiarch|Wile E. Heresiarch]] 02:33, 8 Apr 2004 (UTC)
 
== [[Brownian motion and Riemann zeta function]] ==
Other articles I think are good in their ways are [[Boy's surface]] (graphics) and [[Nicholas Bourbaki]] (perspective and NPOV - I have worked on this one). [[User:Charles Matthews|Charles Matthews]] 09:19, 15 Jul 2004 (UTC)
 
Hi everyone,
I started an article on the relationship between the [[Brownian motion and Riemann zeta function]], which is mainly based on the [[Brownian excursion|excursion theory]] of the Brownian motion. The user @[[User:Ldm1954|Ldm1954]] inserted a template claiming multiple things such as ''original research'' and ''no significant coverage''. I would like some other opinion on this.
 
There are a couple of articles (linked in the wiki article) but there is a whole chapter in the book ''"[[Marc Yor]] and Roger Mansuy - Aspects of Brownian Motion"'' and some results also appear in the book ''"Marc Yor and Daniel Revuz - Continuous martingales and Brownian motion"''. The latter is one of the standard references on Brownian motion and [[Marc Yor]] was one of the leading experts on stochastic processes.
== Articles needing diagrams ==
 
This is an advanced topic and hence there is less coverage, but I don't see how this violates the ''no significant coverage'' rule. The topic itself was also explored by other people such as [[David Williams (mathematician)]], Anton Thalmeier or [[Persi Diaconis]]. So it is not original research, although it was shaped by Yor, [[Jim Pitman]] and [[Philippe Biane]].
Is there a page listing mathematics articles which are in need of diagrams? If not, we should create one somewhere. There are plenty of articles which could be listed. I am handy at doing commutative diagrams and don't mind doing them but I'm completely inept when it comes to anything requiring artistic talent. I'd like a place where I could put up some requests and handle others. -- [[User:Fropuff|Fropuff]] 17:02, 2005 Apr 14 (UTC)
 
Although the article focuses on excursion theory, there are more connections between Gaussian processes and the Riemann zeta function for example in [[random matrix theory]] (e.g. Fyodorov, Hiary and Keating - Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann Zeta-Function).
:Well, there already is [[Wikipedia:Requested_images#Mathematics]]. - [[User:Omegatron|Omegatron]] 19:20, Apr 14, 2005 (UTC)
 
I don't see how this is not relevant for Wikipedia. Lastly I decided to create a separate article on this topic since it deals with an advanced probability topic and not solely with analytical number theory. Therefore I thought it makes sense to not include everything in the Riemann zeta function article. BTW: it's the second time the user questions the notability of my articles. Regards--[[User:Tensorproduct|Tensorproduct]] ([[User talk:Tensorproduct|talk]]) 14:13, 5 August 2025 (UTC)
::There are presently no requests in there. Maybe I'll try populating it and see if I get any turnaround. -- [[User:Fropuff|Fropuff]] 22:04, 2005 Apr 21 (UTC)
 
:For rigor, my tagging, which also included duplicate citations and unsourced claims was standard [[WP:NPP]], and cited [[WP:SYNTH]], not what is stated above. I also restored a previous tag from an earlier NPP review by [[User:Alpha3031|<bdi>Alpha3031</bdi>]] of essay-like which was removed twice without explanation. One of the duplicate references has since been removed, but the article has repeated sources in the bibliography and references which is certainly duplication. [[User:Ldm1954|Ldm1954]] ([[User talk:Ldm1954|talk]]) 14:34, 5 August 2025 (UTC)
::I think a separate page for mathematics-related articles would be a good idea. [[User:Fredrik|Fredrik]] | [[User talk:Fredrik|talk]] 22:08, 21 Apr 2005 (UTC)
::1) You added the "duplicate citation" not in your original edits [https://en.wikipedia.org/w/index.php?title=Brownian_motion_and_Riemann_zeta_function&diff=prev&oldid=1304338560 diff=prev&oldid=1304338560] and you also didn't mention it on my wall. You added it after I edited the article again [https://en.wikipedia.org/w/index.php?title=Brownian_motion_and_Riemann_zeta_function&diff=prev&oldid=1304345478].
::2) I removed the "essay-like" template because I heavily changed the introduction since then. The previous introduction was essay-like but I don't think the current on is. Besides no one said that the new one is.
::3) You add the unnessecary comment "according to whom?" on the statement "this is not the only process that follows this distribution." which should obviously be clear since there are at least 2 processes mentioned in the article.--[[User:Tensorproduct|Tensorproduct]] ([[User talk:Tensorproduct|talk]]) 14:54, 5 August 2025 (UTC)
::: I have assessed the article and removed most of the tags. I am already familiar with the papers cited in the article, and it is clearly notable and not synthesis. There are duplications of citations in the References/Bibliography section, so I left that tag. [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 15:12, 5 August 2025 (UTC)
::::@[[User:Tito Omburo|Tito Omburo]] Thank you very much for confirming that this is not original research and for removing the tags. Have a nice day!--[[User:Tensorproduct|Tensorproduct]] ([[User talk:Tensorproduct|talk]]) 15:46, 5 August 2025 (UTC).
{{hat|Off topic}}
The problem resolved, thanks to @[[User:Tito Omburo|Tito Omburo]]. To share some background, the user Ldm1954 also tried to prevent another article I wrote about [[Benjamin Schlein]] with the argument, that he is not an important scientist. Schlein was [[Editor-in-chief]] for the most prestigious journal in [[functional analysis]]: the [[Journal of Functional Analysis]]. And Schlein received "Hausdorff Chair" at the [[University of Bonn]], one of the most prestigious award for mathematics professors in Germany (and Schlein wrote an article with [[Terence Tao]] btw.). Also for you @[[User:Johnjbarton|Johnjbarton]] to know.--[[User:Tensorproduct|Tensorproduct]] ([[User talk:Tensorproduct|talk]]) 21:09, 15 August 2025 (UTC)
:This is a gross misrepresentation of those events. A basic and important principle of Wikipedia editing is that it is important to [[WP:FOC|not personalize disagreements]] and to [[WP:AGF|act on the presumption that other editors are acting in good faith]], which is obviously the case in the disagreement here as well as the earlier one that you (inexplicably) are rehashing. --[[User:JayBeeEll|JBL]] ([[User_talk:JayBeeEll|talk]]) 21:43, 15 August 2025 (UTC)
::@[[User:JayBeeEll|JayBeeEll]] Can you prove how this is a "gross misrepresentation" of these events? I might was wrong and misinterpreted the actions of this user. But I never said that this user did not act in good faith - I am sorry if you understood that. And I understand that it was misleading when there were tags like ''"This article does not cite any sources containing significant coverage."'' when I quoted a standard reference on the [[Brownian Motion]] by one of the biggest experts of Brownian motion: [[Marc Yor]].--[[User:Tensorproduct|Tensorproduct]] ([[User talk:Tensorproduct|talk]]) 21:57, 15 August 2025 (UTC)
:::{{tq|Can you prove}} No, social interaction is not part of mathematics, I cannot "prove" anything. I did, however, observe the events at the time, and I have observed a repeated pattern on your part of inappropriately personalizing disputes, imputing bad motivations to other people when more plausible and innocuous explanations are available, and now also grudge-holding and axe-grinding. None of these behaviors are appropriate on Wikipedia; you can read the links in my previous message to understand why. --[[User:JayBeeEll|JBL]] ([[User_talk:JayBeeEll|talk]]) 22:02, 15 August 2025 (UTC)
:I was in the process of responding to [[User:Tensorproduct|Tensorproduct]], but [[User:JayBeeEll|JBL]] already did so I will just point to the [https://en.wikipedia.org/w/index.php?title=Benjamin_Schlein&action=history article history]. [[User:Ldm1954|Ldm1954]] ([[User talk:Ldm1954|talk]]) 21:47, 15 August 2025 (UTC)
::Where does the article history contradict my premise? I am a mathematician who writes articles and you tried to prevent the Schlein.--[[User:Tensorproduct|Tensorproduct]] ([[User talk:Tensorproduct|talk]]) 22:05, 15 August 2025 (UTC)
{{hab}}
 
== Expert opinion needed on Draft:Jesús Guillera ==
== [[Template:MacTutor Biography]] &mdash; what about [[Template:MathGenealogy]] like it? ==
 
An expert opinion (and edits) is needed on [[Draft:Jesús Guillera]]. The page is on a mathematician who is mainly self-taught and spent much of his life teaching in secondary schools. My first reaction was to decline the draft, but when I checked his {{Google Scholar|name=cited|id=p13LwaoAAAAJ}} his h-factor is 19 with several cited more than 100 times. There are at least a couple of pages on him [https://english.elpais.com/elpais/2015/04/01/inenglish/1427892395_607702.html] [https://sites.math.rutgers.edu/~zeilberg/Opinion191.html].
I have noticed a recently created [[Template:MacTutor Biography]] &mdash; looks like a cool idea. I've found 26 articles on people linking into the [[Mathematics Genealogy Project]] database, and thought about creating a template to link to it, similar to the MacTutor one. Does anybody have any objections against me going ahead and doing it? [[User:BACbKA|BACbKA]] 18:54, 16 Apr 2005 (UTC)
 
He certainly does not fit a conventional [[WP:NPROF]] pass, but might be unconventionally notable. Some editing would be needed. [[User:Ldm1954|Ldm1954]] ([[User talk:Ldm1954|talk]]) 12:02, 8 August 2025 (UTC)
Update: I have done the above. Please use the template when linking to the mathematical genealogy project database entries; also you're welcome to improve the template text. [[User:BACbKA|BACbKA]] 12:50, 17 Apr 2005 (UTC)
 
: It seems like a really interesting and worthwhile article, but it definitely doesn't meet [[WP:PROF]], and I don't see [[WP:GNG]] saving it on the basis of one or two citations. [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 22:08, 8 August 2025 (UTC)
==Plutonium recalculations==
::Thank you for your time. How could I appeal the decision? Jesus Guillera is considered a "Ramanujan" type genius and experts like Doron Zeilberger
Can someone please redo the calculations involving the half life of Pu on pages [[RTG]] and [[Voyager program]] to reflect the proper half life of 87.7 years instead of 85 year current value? thx.--[[User:Deglr6328|Deglr6328]] 01:55, 17 Apr 2005 (UTC)
::and HaveWadim doneZudilin thiscan ontestify that he is wikipedia material. [[RTGUser:Lucymarti|Lucymarti]]. -([[User talk:MarSchLucymarti|MarSchtalk]]) 1201:4940, 1910 AprAugust 20052025 (UTC)
:::@[[User:Lucymarti|Lucymarti]], you need to read [[WP:NPROF]], [[WP:SIGCOV]] & [[WP:SIGCOV]], then read them again. You need to find articles that discuss him in detail. The El Pais article is one, can you find 3 or so more? Testimony will not help. Detailed math reviews of his papers would.
:::If you improve the page enough it should pass after resubmission. It was not a terminal decision, but you cannot appeal it [[User:Ldm1954|Ldm1954]] ([[User talk:Ldm1954|talk]]) 01:59, 10 August 2025 (UTC)
::::Do articles in Spanish count? [[User:Lucymarti|Lucymarti]] ([[User talk:Lucymarti|talk]]) 03:07, 10 August 2025 (UTC)
:::::Yes, any language. [[User:Tamfang|—Tamfang]] ([[User talk:Tamfang|talk]]) 04:03, 10 August 2025 (UTC)
::::I have added more citations. Any feedback is welcome and I would appreciate it! [[User:Lucymarti|Lucymarti]] ([[User talk:Lucymarti|talk]]) 13:37, 11 August 2025 (UTC)
:::You can also ask for opinions at [[WP:Teahouse]]. Ultimately, the status of the draft article would be determined at [[WP:AFD]] if the draft was moved to article space, and then nominated for deletion. [[User:Johnuniq|Johnuniq]] ([[User talk:Johnuniq|talk]]) 02:05, 10 August 2025 (UTC)
:There are more news articles linked from his personal webpage https://anamat.unizar.es/jguillera/media.html – I'd generally be inclined to keep articles like this, though perhaps more effort should be made to avoid puffery. –[[user:jacobolus|jacobolus]] [[user_talk:jacobolus|(t)]] 20:25, 11 August 2025 (UTC)
 
== Mathematician not currently listed in WIkipedia ==
== Several proposals to modify the [[List of mathematical topics]] ==
 
For Wikipedia Requested Article page.
The [[List of mathematical topics]] is a very useful resource, as from there one can track the recent changes to all the listed math articles (try [[Special:Recentchangeslinked/List_of_mathematical_topics_(A-C)|Recent changes in mathematics articles, A-C]]). Its only weakness is that quite a lot of math articles are missing from there (in addition to the 3537 articles listed at the moment, there are at least 2000 not listed &mdash; and this is a very conservative estimate, the actual number could be as high as 3000 or more).
Possible category: Wikipedia:WikiProject Mathematics/Missing mathematicians
 
Now that we have the math categories, and most math articles are categorized, one idea is to add to [[List of mathematical topics]] by harvesting the articles listed in the math categories. I would be willing to do that, especially that I already have written some scripts which do most of the work.
 
One issue would be how to sort the articles, this is discussed at [[Talk:List of mathematical topics]], and seems to be a tractable problem, even if one needs to sort the mathematicians by last name.
 
Stephen Charles Locke
That was the first proposal. I wonder what people think. Now, the second proposal. Charles Matthews suggested (see again [[Talk:List of mathematical topics]], at the bottom), to remove the mathematicians listed there altogether, as they have their own list, [[List of mathematicians]]. So, some feedback on this is also needed.
 
What makes this case interesting:
Now, to the third proposal, closely related to the above. You see, adding lots of new articles will make the lists quite big, and even now some are big (for example, [[List of mathematical topics (A-C)]] is 58KB, with almost all contents being links). This causes issues when the server is slow, and when updating with new entries (it happened in the past that the lists actually got corrupted because of that). It can also be hard to check the diffs if lots of changes happen. So, the proposal is to further split the lists, with each letter getting its own article.
1. International Champion 1974 Putnam Team Competition (age 21); success on earlier competitions in H.S. in Canada
2. Ph.D. in Mathematics with close to 50 journal articles
3. High ranking black belts in two martial arts: Judo and Jujutsu
4. A conjecture that generated interest in the faulty hypercube community.
 
Backward compatibility can be ensured by using a template-like thing. If we have the articles [[List of mathematical topics (A)]], [[List of mathematical topics (B)]], [[List of mathematical topics (C)]], one can insert in [[List of mathematical topics (A-C)]] the lines:
 
Please use whatever is appropriate from this rough draft.
<nowiki>
{{:List of mathematical topics (A)}}
</nowiki>
 
<nowiki>
{{:List of mathematical topics (B)}}
</nowiki>
 
Stephen Charles Locke (born 1953) is a English, Canadian and American Mathematician. He is a professor of Mathematics and Statistics at Florida Atlantic University, and has twice served as the Chair of that department.
<nowiki>
{{:List of mathematical topics (C)}}
</nowiki>
 
and the appearance of this list would be as before, and can be also edited as before. The link [[Special:Recentchangeslinked/List_of_mathematical_topics_(A-C)|Recent changes in mathematics articles, A-C]] will still work (I tried these).
 
Early Life. Locke was born in London, U.K., in 1953, moved to Canada in 1958, and then to the U.S.A. in 1981. He holds passports from each of these countries.
So, I wonder what people think of these proposals. Note that they are related, but a decision on one of them need not affect the decision on the other ones. [[User:Oleg Alexandrov|Oleg Alexandrov]] 02:33, 19 Apr 2005 (UTC)
 
In Ontario, he attended two elementary schools in Barrie [Hillcrest and Prince of Wales] , one in Port Hope [Central], one in Brampton [Gordon Graydon], and three in Bramalea [Aloma, Clark, Dorset], before attending Bramalea Secondary School. In Grade ten, his Math teacher, Mr. Burke, helped register him for the Junior Mathematics Contest, and Locke placed fourth in Canada the next year. In grade twelve, Locke placed third in Canada on the Descartes contest. Later, in 1974, Locke placed in the top ten on the William Lowell Putnam Competition, and was a member of the winning Putnam team that year.
:All the above seems fine to me. [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 02:57, Apr 19, 2005 (UTC)
 
Locke earned all three degrees from the University of Waterloo, a B.Math. in 1974, an M.Math. in 19675, and a Ph.D. in 1982. His Dissertation was title "Extremal Properties of Paths, Cycles, and k-Connected Subgraphs of Graphs. His doctoral advised was Adrian Bondy. Other members of his doctoral committee were William Tutte, Ron Read, Bela Bollobas, Ian Munro. Also in attendance at the defense were Laszlo Lovasz, Vera Sos, Jack Edmonds, Bill Cook. (The last sentence could be hard to verify.)
:: Having heard no objections, I will proceed. I will also create a [[List of mathematics categories]], which I will populate as I move along. I will try to work on this this weekend, or either way do it by next Wednesday. [[User:Oleg Alexandrov|Oleg Alexandrov]] 21:40, 21 Apr 2005 (UTC)
 
:All three proposals sound good to me. The template trick is rather nifty; I had no idea that worked. -- [[User:Fropuff|Fropuff]] 22:02, 2005 Apr 21 (UTC)
 
Publications. Locke has published approximately fifty research articles. A list of publications is available from MathSciNet or from Google Scholar. Locke has graduated four Ph.D. students, the most recent in August 2025. Locke's early area of interest was how simple conditions on connectivity and minimum degree force graphs to have many long cycles. In 2018, Locke began publishing on Combinatorial Games.
== Scanned math monographs of Polish mathematicians ==
 
Listing which journal articles are the most interesting is rather subjective. The papers on relative lengths of paths and cycle show a marked contrast between 2-connected and 3-connected graphs. The paper on cycles through three vertices in 2-connected graphs, led to other researchers working on cycles through k+1 vertices in k-connected graphs. The paper 11/30 is also of note.
Today after following an external link from [[Lebesgue-Stieltjes_integration]] I found the following gem [http://matwbn.icm.edu.pl/ksspis.php?wyd=10]. On this page journals and monographs from Polish mathematicians can be downloaded free of charge. (for example the complete french translation of [[Stefan Banach]]s ''Théorie des opérations linéaires''.) If nobody objects I would like to start a section in [[Wikipedia:WikiProject Mathematics]] with a list of webpages where older mathematical monographs and journal articles can be accessed. I know there are simialar projects in France and Germany going on. I think it is fantastic that many important math journal articles can now be found online making it possible to link them directly from the relevant wikipedia articles.[[User:MathMartin|MathMartin]] 21:24, 19 Apr 2005 (UTC)
 
Locke also solved problems from the Monthly and other journals (starting in 1976), and proposed problems for those journals. One of these problems, does an (n+2)-dimensional hypercube always have a Hamilton cycle, even after deleting n vertices from each parity class, caught the attention of some researchers in the fault-tolerance community. Another problem asks if, under certain conditions on degree sums and distances, a graph always has a non-separating copy of a any given tree on n vertices. The current work almost achieves the suggested bound.
==Gathering together our conventions==
 
Locke's two most frequently cited papers, according to Google Scholar are:
The new page [[Wikipedia:WikiProject Mathematics/Conventions]] is to collect up our current set of working conventions. Please add any more to it, and use its talk page to discuss the adequacy or otherwise of those conventions. [[User:Charles Matthews|Charles Matthews]] 11:13, 23 Apr 2005 (UTC)
 
The subchromatic number of a graph, MO Albertson, ST Hedetniemi, RE Jamison, SC Locke, Annals of Discrete Mathematics 39(1989), 33-49
== Renaming the [[List of lists of mathematical topics]] ? ==
 
Largest bipartite subgraphs in triangle‐free graphs with maximum degree three, JA Bondy, SC Locke
There is a discussion at [[Talk:List of lists of mathematical topics#Renaming this list]]. I wonder what you think about those suggestions, and which, if any is preferred. Thanks. [[User:Oleg Alexandrov|Oleg Alexandrov]] 00:31, 24 Apr 2005 (UTC)
Journal of graph theory 10(1986), 477-504.
 
The MathSciNet review for
==VfD==
Cycles and paths through specified vertices in k-connected graphs,
Someone has listed [[Pearson distribution]] for deletion:
Y Egawa, R Glas, SC Locke, J. Combin. Theory Ser. B 52(1991), 20–29
* [[Wikipedia:Votes for deletion/Pearson distribution]]
refers to this as an excellent paper.
 
For some reason this is picking up a few delete votes, and I don't understand why. It's not my field but I know this is a fairly popular distribution nowadays. Any help with cleanup, keep votes, etc, welcome. --[[User:Tony Sidaway|Tony Sidaway]]|[[User talk:Tony Sidaway|Talk]] 02:18, 28 Apr 2005 (UTC)
 
Hobbies. Locke has a seventh degree black belt (shichidan) in Judo from the United States Judo Association, and a sixth degree black belt (rokudan) in Jujutsu from the American Traditional Jujutsu Association. In Canada, he studied for a year or more under Wayne Erdman, a Pan-Am Champion. He founded Tomodachi Judo club in 1990. The club has been a 501(c)(3) charity since 1993.
== "Things to do" section? ==
 
Minor interest in languages. Not fluent in any of these, but he studied French, German, Latin, Russian, Japanese, in High School and/or University and played with Old English.
I'm thinking about adding a "Things To Do" section to the project page, some thing like:
 
Mid-level duplicate bridge player but played very infrequently the last several years.
===Things to do===
----
 
Family. Parents: Kenneth and Lily Locke. Wife: Joanne Thomson Locke. Sons: Daniel (Rin) and Geoffrey. Siblings: Jacquie Redwood, Graeme Locke, Sharon Clarke.
Looking for something to do? There are several places on Wikipedia where mathematics related requests, suggestions and tasks have been collected together:
 
{| {{prettytable}}
|-
| What || Where
|-
| Suggest or edit a mathematics article needing attention || [[Wikipedia:Pages needing attention/Mathematics|Pages needing attention: Mathematics]]
|-
| Suggest or edit a statistics article needing attention || [[Wikipedia:Pages needing attention/Mathematics|Pages needing attention: Statistics]]
|-
| Suggest or write a mathematics article || [[Wikipedia:Requested articles/Mathematics|Requested articles: Mathematics]]
|-
| Expand a mathematics "stub" || [[:Category:Mathematics stubs|Mathematics stubs]]
|-
| Suggest or edit a redirect which could have its own article || [[Wikipedia:Redirects with possibilities#Mathematics|Redirects with possibilities: Mathematics]]
|-
| Help move PlanetMath content onto Wikipeia || [[Wikipedia:WikiProject Mathematics/PlanetMath Exchange|PlanetMath Exchange]]
|}
 
-------
 
Any comments? [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 18:26, Apr 28, 2005 (UTC)
 
: Sounds fine with me. Some of these links already show up at the bottom of [[Wikipedia :WikiProject Mathematics]]. The [[Wikipedia:WikiProject Mathematics/PlanetMath Exchange|PlanetMath Exchange]] link shows up somewhere higher on the same page. To integrate all of these nicely would be good. [[User:Oleg Alexandrov|Oleg Alexandrov]] 18:41, 28 Apr 2005 (UTC)
 
Ok I've added the above to the project page. [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 22:03, May 3, 2005 (UTC)
 
== Template:Calculus -- is that needed? ==
{{Calculus2}}
I just wonder, are things like [[:Template:Calculus]] so useful? I put it to the right just for illustration.
 
:(''Note: the template refered to above is now at [[:Template:Calculus2]] the first template displayed to the right is the "old" template, the "new" template, now at [[:Template:Calculus]] is displayed below. [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 02:19, May 10, 2005 (UTC)'')
 
To me, as I followed its evolution, it looks like an ever growing monster of links, popping up in many places. Besides, it is very long and wide, taking up lots of room even on a 19" monitor with high resolution. Also, I thought the category system should take care of linking articles to each other.
 
I would suggest this template be eliminated, or otherwise be trimmed to the true calculus, which is integrals and derivatives on the real line, no vector calculus, tensor calculus, and what not. Opinions? [[User:Oleg Alexandrov|Oleg Alexandrov]] 23:08, 29 Apr 2005 (UTC)
 
I do not like the template. The scope is too broad and it takes up too much space in the article. So either trim down radically or delete entirely. [[User:MathMartin|MathMartin]] 10:03, 30 Apr 2005 (UTC)
 
https://www.math.fau.edu/people/faculty/lockes.php
:My attitude: I have removed it in a number of places. I think it might actually be useful to some readers; but it doesn't need to be on every calculus article. [[User:Charles Matthews|Charles Matthews]] 12:49, 30 Apr 2005 (UTC)
 
https://www.fau.edu/registrar/university-catalog/catalog/faculty/
:I agree. It takes up too much space. I think the vector and tensor calculus stuff should go. Perhaps moved to their own templates. [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 13:23, Apr 30, 2005 (UTC)
 
https://scholar.google.com/citations?user=4r2jkAMAAAAJ&hl=en
I have an idea. We could put Vector Calculus and Tensor Calculus as topics under Topics in Calculus, get rid of all the subtopics that were under those two headings, and then make the overall sidebar narrower. I think that might sufficiently trim it down. [[User:Sholtar|Sholtar]] 21:25, May 3, 2005 (UTC)
 
https://mathscinet.ams.org/mathscinet/author?authorId=115185
{{Calculus}}
 
https://www.genealogy.math.ndsu.nodak.edu/id.php?id=23366
:I've made a template to show what it would look like the way I suggested. It's located at [[Template:Calculus2]] (''now at [[Template:Calculus]] see note above [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 02:19, May 10, 2005 (UTC)''). If you compare it to the former one, I think this one is much more reasonable in size and would be adequate as far as links are concerned as well. What do you all think? [[User:Sholtar|Sholtar]] 22:21, May 3, 2005 (UTC)
 
:: Looks good, thanks! But I can't promise that at some later moment I won't feel like trimming more the template. :) By the way, what do you think of creating a [[:Category:Vector calculus]]? That will put the related topics in the same box. Same might work for the tensors. [[User:Oleg Alexandrov|Oleg Alexandrov]] 22:25, 3 May 2005 (UTC)
 
The 1974 William Lowell Putnam Mathematical Competition. The American Mathematical Monthly 81(1974), page 821.
::: Hmm... yeah, having a Vector calculus category and a Tensor calculus category would probably help. Should they have sidebars, or just categories? [[User:Sholtar|Sholtar]] 22:46, May 3, 2005 (UTC)
 
https://members.atja.org/Sys/PublicProfile/66640220/6395436
:::: I thought the very purpose of categories is to group similar subjects together. And my own humble opinion is that one does a better job that way than by using templates (sidebars, that is). One day, when I get to it, I will carve out [[:Category:Vector calculus]] as a subcategory in [[:Category:Multivariate calculus]]. [[User:Oleg Alexandrov|Oleg Alexandrov]] 22:59, 3 May 2005 (UTC)
 
https://www.usja.net/member/profile/5202
::::: This is true, but templates do make for somewhat easier navigation between topics within a category. Anyways, unless there's any disagreement, I'm going to put the slimmer template in to replace the current one and back the current one up in Calculus2 if it's needed for future reference. [[User:Sholtar|Sholtar]] 23:10, May 3, 2005 (UTC)
 
https://pjm.ppu.edu/sites/default/files/papers/PJM_April_2017_0.pdf [[Special:Contributions/131.91.7.56|131.91.7.56]] ([[User talk:131.91.7.56|talk]]) 21:22, 8 August 2025 (UTC)
I suggest limiting the use of templates to articles most likely to be read by high-school and college students, and then only on articles that are widely and broadly taught. They have pedagogical value for a student trying to master the material. Thus, the fat template might actually be a lot more useful than the thin template. However, it should be used on only a few pages. [[User:Linas|linas]] 17:02, 14 May 2005 (UTC)
 
:Citation counts in the double digits, a low-level administrative role, student competitions, and hobbies are not going to provide evidence of notability through [[WP:PROF]]. We are missing articles on many significantly more notable mathematicians (for instance, see the many redlinks at [[:Category talk:Fellows of the American Mathematical Society]]). And this is the wrong place to place your drafts. —[[User:David Eppstein|David Eppstein]] ([[User talk:David Eppstein|talk]]) 21:48, 8 August 2025 (UTC)
==Now on VfD: Evaluation operator==
 
== Major Rewrite of the "Half range Fourier series" Article ==
The mathematical article [[evaluation operator]] is now on VfD; see [[Wikipedia:Votes for deletion/Evaluation operator]]. It is claimed to be original research. Unfortunately, it is now too late for me to investigate it. Related articles are [[multiscale calculus]] and [[theta calculus]]. -- [[User:Jitse Niesen|Jitse Niesen]] 00:39, 10 May 2005 (UTC)
 
Hello all,
I should have added that I spotted this while listing an another article, namely [[John Gabriel's Nth root algorithm]]. Its VfD entry is at [[Wikipedia:Votes for deletion/John Gabriel's Nth root algorithm]]. -- [[User:Jitse Niesen|Jitse Niesen]] 08:15, 10 May 2005 (UTC)
 
I've recently expanded the article for the [[half range Fourier series]] from a stub to a slightly more detailed article. I've:
:Reminds me of this group: [[eucalculus]], [[differation]], [[atromeroptics]]. These seem to be personal definitions/original research, and should presumably go to VfD. [[User:Charles Matthews|Charles Matthews]] 08:47, 10 May 2005 (UTC)
 
# Included inline citations (previously missing)
::The [[evaluation operator]] surfaced on the german Wikipedia, was discussed at [[:de:Portal Mathematik]] and put to VfD there. After assuring myself that only the original author uses this term but was rather busy creating a net of articles here, I put it on VfD here. --[[User:Pjacobi|Pjacobi]] 09:58, 2005 May 10 (UTC)
# Added a clearer definition of the series and it's uses
# Added an explanation of what goes into deciding between a sine/cosine series
# Expanded the worked example
# Added an animated plot demonstrating convergence of the example result
 
I'd appreciate it if someone familiar with Fourier analysis could review for accuracy and suggest improvements to it. About 1/2 of the article is dedicated to working the example in detail, so I think that expanding the prose section could be worthwhile. Adding another example would also help the article be more general.
I listed eucalculus on VfD, after verifying that I could not find a peer-reviewed article about it. The VfD entry is [[Wikipedia:Votes for deletion/Eucalculus]]. -- [[User:Jitse Niesen|Jitse Niesen]] 22:57, 12 May 2005 (UTC)
 
Feedback is much appreciated. Thanks! [[User:Owen Reich|Owen Reich]] ([[User talk:Owen Reich|talk]]) 02:10, 10 August 2025 (UTC)
Discussion on german Wikipedia seems to indicate, that [[Theta calculus]] and [[Multiscale calculus]], at least in their current form, are original research by [[User:Dirnstorfer]]. Opinions? VfD? --[[User:Pjacobi|Pjacobi]] 15:26, 2005 May 13 (UTC)
 
:Maybe worth mentioning topics like [[Discrete cosine transform]] and [[Chebyshev polynomials]]. –[[user:jacobolus|jacobolus]] [[user_talk:jacobolus|(t)]] 20:33, 11 August 2025 (UTC)
:''Evaluation operator'' has now been deleted, and the other two articles are listed on VfD; their entries are at [[Wikipedia:Votes for deletion/Theta calculus]] and [[Wikipedia:Votes for deletion/Multiscale calculus]]. -- [[User:Jitse Niesen|Jitse Niesen]] 22:24, 17 May 2005 (UTC)
 
==Michael Aschbacher==
== Major fields of mathemtics ==
Would another editor or editors please take a look at the section "Classification of finite simple groups" in the [[Michael Aschbacher]] article? It has three paragraphs that paraphrase a significant chunk of an article in ''Social Studies of Science''. I suspect that probably a briefer summary of the SSS article is appropriate, but that the amount paraphrased there is probably [[WP:UNDUE]]. It also tends to single Aschbacher out for criticism, which may raise [[WP:BLP]] issues. I feel too close to finite group theory (and have met Aschbacher once or twice), and do not want to be the one who picks out what is due/undue here. [[User:Russ Woodroofe|Russ Woodroofe]] ([[User talk:Russ Woodroofe|talk]]) 11:47, 12 August 2025 (UTC)
 
: I've read the paper, and thus seems like a fair summary. That paper references a lot of more primary literature, such as Gorenstein's personal reflections, and the few paragraphs in the article might benefit from better attribrution. [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 12:25, 12 August 2025 (UTC)
I've added an 'Major fields of Mathematics' template to the [[:Category:Mathematics|Matematics Categories]] page. It's based on the classification used in [http://www.math-atlas.org The Mathematical Atlas]. Any comments or suggestions? --[[User:R.Koot|R.Koot]] 13:38, 10 May 2005 (UTC)
::I agree that it's a fair summary. My concern was about [[WP:DUE]] criticism of a living person sourced to the journal literature in social studies of mathematics. For one thing, the criticism "researchers no longer read papers as independent documents, but rather ones that required the context of its author" seems like one that applies to the entire Classification of Finite Simple Groups, not just to Aschbacher's contributions (and indeed more widely in modern mathematics, i.e. to projects like the Four Color Theorem). Looking again, perhaps the second and third paragraphs should be combined and streamlined? On the other hand, should some related material also be in the [[Classification of finite simple groups]] article? [[User:Russ Woodroofe|Russ Woodroofe]] ([[User talk:Russ Woodroofe|talk]]) 09:23, 13 August 2025 (UTC)
::: That last point seems like a pretty strong one. [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 21:07, 13 August 2025 (UTC)
:::It does read a little odd for what's supposed to be a biographical page about Aschbacher. [[User:Stepwise Continuous Dysfunction|Stepwise Continuous Dysfunction]] ([[User talk:Stepwise Continuous Dysfunction|talk]]) 03:46, 14 August 2025 (UTC)
:::: Everyone satisfied with [https://en.wikipedia.org/w/index.php?title=Michael_Aschbacher&diff=prev&oldid=1305912082 this]? [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 20:41, 14 August 2025 (UTC)
:::::I think that's an improvement; thanks. I do wonder a little about calling his papers "very difficult to read", which kind of sounds like turning a judgment call into an absolute fact. There's a difference between having a reputation for impenetrability and being truly, objectively impenetrable. [[User:Stepwise Continuous Dysfunction|Stepwise Continuous Dysfunction]] ([[User talk:Stepwise Continuous Dysfunction|talk]]) 21:48, 14 August 2025 (UTC)
:::::: I mean, it is well-supported by the source. (It's nice to see this validated by well-researched summaries of secondary sources, rather than painful memories of graduate school.) [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 22:04, 14 August 2025 (UTC)
:::::: Perhaps a synonym like "challenging", "demanding", or "formidable" would seem less judgmental. –[[user:jacobolus|jacobolus]] [[user_talk:jacobolus|(t)]] 22:11, 14 August 2025 (UTC)
:::::::I think a phrasing tweak of that nature could make the passage less judgmental and more informative. [[User:Stepwise Continuous Dysfunction|Stepwise Continuous Dysfunction]] ([[User talk:Stepwise Continuous Dysfunction|talk]]) 00:01, 15 August 2025 (UTC)
{{od}}
I like the change in general, but agree with the spirit of some of the comments. I tried to rework the first sentence, but found it easier to rework the entire paragraph. What do y'all think about the following? {{tq|While Aschbacher's ideas were held in esteem by the group theory community, his writing style drew complaints. Some commented that his proofs lacked explanations of very sophisticated counting arguments. The difficulty in reading his papers became more pronounced as the papers became longer, with even some of his coauthors finding their joint papers hard to read. The challenge in understanding Aschbacher's proofs was attributed not to a lack of ability, but rather to the complexity of the ideas he was able to produce. This was part of a general trend where researchers working on the Classification of Finite Simple Groups began to view papers as requiring the context of their authors, rather than as independent documents. As a result, responsibility of finding errors in the classification problem was up to the entire community of researchers rather than just peer-reviewers alone.}} The one substantive change is to identify the move towards attention to the authors of a paper as a broader trend, which the source also does (the Aschbacher paragraph is in the midst of a section talking about similar trends with Gorenstein and others). [[User:Russ Woodroofe|Russ Woodroofe]] ([[User talk:Russ Woodroofe|talk]]) 10:06, 16 August 2025 (UTC)
 
:I'm not sure what "requiring the context of their authors" is intended to mean here. —[[User:David Eppstein|David Eppstein]] ([[User talk:David Eppstein|talk]]) 11:48, 16 August 2025 (UTC)
: The template in question is at [[Template:Mathematics-footer]].
:: Thank you! Perhaps better phrasing would replace {{tq| view papers as requiring the context of their authors, rather than as independent documents}} with {{tq | view papers as being reliable because of the reputation of their authors and their previous work, rather than as self-contained documents}}? [[User:Russ Woodroofe|Russ Woodroofe]] ([[User talk:Russ Woodroofe|talk]]) 12:01, 16 August 2025 (UTC)
:::That is much clearer, thanks! —[[User:David Eppstein|David Eppstein]] ([[User talk:David Eppstein|talk]]) 12:33, 16 August 2025 (UTC)
 
I went ahead and put my suggested paragraph (with modification after comment of David Eppstein) in the article. If I have misread the opinions here, then please feel free to modify or revert. [[User:Russ Woodroofe|Russ Woodroofe]] ([[User talk:Russ Woodroofe|talk]]) 12:18, 21 August 2025 (UTC)
: Now, first of all, the style here is not too use that many capitals. That is, one writes "Linear algebra" instead of "Linear Algebra", and "In mathematics" instead of "In Mathematics".
 
== [[Transfinite number]] merge ==
: About the template. I myself do not think it is a good idea. There is already a [[Areas of mathematics]] article, having good information.
 
I've started a discussion about merging [[Transfinite number]] into [[Infinity]]. If you have a minute, please feel free to contribute to the discussion [[Talk:Transfinite number#Merge into Infinity?|here]]. <span class="nowrap">– [[User:Farkle Griffen|Farkle Griffen]] ([[User talk:Farkle Griffen|talk]])</span> 15:23, 12 August 2025 (UTC)
: I would like to note that the very purpose of categories is to group related subjects together. As such, navigational templates should not be used that much, they just become link farms showing up all over the place.
 
== Cyclotomic pre-polynomials ==
: This is my own personal thinking, and I am somewhat biased against templates for the reason above. I wonder what others think. [[User:Oleg Alexandrov|Oleg Alexandrov]] 20:36, 10 May 2005 (UTC)
 
Hungarian mathematician {{ill|Kéri Gerzson|hu}} has started an article [[Cyclotomic pre-polynomial]] and added some to [[Chebyshev polynomials]] based on his book:
::On this one, I'm going to have to agree with Oleg Alexandrov. I like templates personally, but they have to be used with moderation. I just don't think this one is neccessary. [[User:Sholtar|Sholtar]] 23:23, May 10, 2005 (UTC)
: Kéri, Gerzson (2021): Compressed Chebyshev Polynomials and Multiple-Angle Formulas, Omniscriptum Publishing Company, ISBN 978-620-0-62498-7
published by [[OmniScriptum]], which seems somewhere between self-publishing and a vanity press. The only other source I can find mentioning this name is Kéri's paper,
: {{cite journal |last=Kéri |first=Gerzson |year=2022 |title=The factorization of compressed Chebyshev polynomials and other polynomials related to multiple-angle formulas |journal=Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae Sectio Computatorica |volume=53 |doi=10.71352/ac.53.093 |doi-access=free |pages=93–108 }}
It looks like a good faith effort, but probably runs afoul of Wikipedia policies about original research, notability, and maybe self promotion.
 
I tried leaving a message on his talk page about notability and original research, but without reply. I imagine there has been other published literature about more or less the same topic in the past, but I don't feel motivated to do a careful search about it. I figured I'd ask here instead of immediately sending the article to AFD. –[[user:jacobolus|jacobolus]] [[user_talk:jacobolus|(t)]] 15:24, 12 August 2025 (UTC)
::I agree with Oleg. I am against using a template for this category. Note: I believe that templates are useful and nice in certain pedagogical settings, see debate on the calculus template above. However, a template is inapporpriate for this cat. [[User:Linas|linas]] 17:30, 14 May 2005 (UTC)
: Okay, I got a reply at his talk page. If anyone is practiced at helping Wikipedia-newcomer scholars, feel free to chime in there. –[[user:jacobolus|jacobolus]] [[user_talk:jacobolus|(t)]] 16:14, 12 August 2025 (UTC)
 
== [[Algebraic-group factorisation algorithm]] ==
To be honest I think that this template ''shouldn't'' be neccessary, I had two (good) reasons for creating one. The first is that is is also done in the [[:Category:Technology]] and more importantly, the current categorisations of articles is quite a mess, which makes it very difficult for the non-mathematicain to quickly get an overview of mathematics major fields. --[[User:R.Koot|R.Koot]] 00:32, 11 May 2005 (UTC)
 
I'm not an expert, and have only taught up to 7th grade math and one lesson plan on Hamiltonians. Can someone with more knowledge and ability please source this article? [[User:Bearian|Bearian]] ([[User talk:Bearian|talk]]) 22:28, 15 August 2025 (UTC)
: The [[:Category:Mathematics]] is not a mess. Math has many more facets than just subject areas. The categories reflect this. [[User:Oleg Alexandrov|Oleg Alexandrov]] 00:47, 11 May 2005 (UTC)
 
: Thanks, I have [https://en.wikipedia.org/w/index.php?title=Algebraic-group_factorisation_algorithm&diff=prev&oldid=1306101770 proposed it for deletion]. It doesn't make much sense. [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 23:32, 15 August 2025 (UTC)
: We should probably come to a consensus about whether or not to do this in all categories, but just because someone did it for technology doesn't seem to be a feasible reason to do it for mathematics. I think unless a consensus is reached about the subject, default to whether or not it's neccessary. This one I just don't think is neccessary, especially because there's an article about the major fields. [[User:Sholtar|Sholtar]] 05:23, May 11, 2005 (UTC)
:I was able to find a source and [https://en.wikipedia.org/w/index.php?title=Algebraic-group_factorisation_algorithm&oldid=1306152929 added it to the article]. I also removed the PROD added by @[[User:Tito Omburo|Tito Omburo]] as I believe this somewhat addresses the issue of being unverified, but I will need to do some work to match the article with what's here and other sources to improve understandability. I have also seen at least two pages link this article off-wiki, so something tells me that perhaps this topic might be notable enough should we be able to find non-circular sourcing. [[User:Gramix13|Gramix13]] ([[User talk:Gramix13|talk]]) 06:49, 16 August 2025 (UTC)
 
== Examples in [[Bayes' theorem]] ==
 
The [[Bayes' theorem]] article has a lengthy section of "Examples" that includes no sources and is written in a rather [[WP:NOTTEXTBOOK|textbook-style]] manner. Contrast it with [[Pythagorean theorem]], for instance, which doesn't do anything one would call an "example" until the passage about Pythagorean triples. It's not exactly the same situation, of course, since the cornucopia of different proofs is a much bigger deal for the Pythagorean theorem, but even so, in that article we don't have a whole section where a ladder is leaned against a wall, a jogger crosses a field diagonally, etc. This seems like a situation that needs some work. [[User:Stepwise Continuous Dysfunction|Stepwise Continuous Dysfunction]] ([[User talk:Stepwise Continuous Dysfunction|talk]]) 05:14, 18 August 2025 (UTC)
I agree that mathematics is much richer than it's fields. Therefore the template is biased, but adding more links to it make it lose it's purpose so I suggest the following:
 
:If including examples about how to plug numbers into the formula is a good idea here (and maybe it is), we should probably go to standard statistics books and use theirs. The current ones read rather like an enthusiastic Wikipedian made them up 20 years ago based on the general themes of the examples they remembered seeing in class. We can do better, I think. [[User:Stepwise Continuous Dysfunction|Stepwise Continuous Dysfunction]] ([[User talk:Stepwise Continuous Dysfunction|talk]]) 05:29, 18 August 2025 (UTC)
* Remove the template.
::The introduction to the article includes an example which is not discussed in the article and thus not sourced. I suggest concentrating on one good sourced example in the body of the article and summarizing it in the intro. [[User:Johnjbarton|Johnjbarton]] ([[User talk:Johnjbarton|talk]]) 14:33, 18 August 2025 (UTC)
* Put all the articles that are categorized direcly under mathematics in a subcategory, except for the [[Mathematics]] article itself, and maybe a select group of introductory articles like [[Areas of mathematics]] (articles that help navigate you quickly and would propably be found in a real encycolpedia).
:::I like that idea. [[User:Stepwise Continuous Dysfunction|Stepwise Continuous Dysfunction]] ([[User talk:Stepwise Continuous Dysfunction|talk]]) 21:05, 18 August 2025 (UTC)
* Rename a lot of the categories from Mathematical foo to Foo_(mathematics), this would make the index more readable and is the prefered Wikipedia style, I believe.
:And another thing: is [https://www.cuemath.com/data/bayes-theorem/ CueMath] (currently reference 25) a reliable source? It looks to be yet another [[EdTech]] company website, and the writing is not all that clear throughout. Maybe not the most objectionable page, but it does have the feel of a source plugged in because it was the first to come up in a Google search. [[User:Stepwise Continuous Dysfunction|Stepwise Continuous Dysfunction]] ([[User talk:Stepwise Continuous Dysfunction|talk]]) 05:35, 18 August 2025 (UTC)
* Design a good categorization system and make people aware of it. A suggestion
::I think tag these sections. There is no shortage of "real-world" illustrations in well-known textbooks (e.g. Berger). [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 21:29, 18 August 2025 (UTC)
:::I've tagged the completely unreferenced section and marked several other passages more specifically. If anyone is fresh from teaching a semester of probability theory, those {{tl|cn}} tags are good candidates to pick off. [[User:Stepwise Continuous Dysfunction|Stepwise Continuous Dysfunction]] ([[User talk:Stepwise Continuous Dysfunction|talk]]) 23:10, 19 August 2025 (UTC)
:::: This is doing psychic damage to anyone you have just described. But fair. [[User:Tito Omburo|Tito Omburo]] ([[User talk:Tito Omburo|talk]]) 23:13, 19 August 2025 (UTC)
 
== Second pair of eyes on [[List of polyhedral stellations]] ==
Logic Computer Science Literature
Set Theory Signal Processing Journals
Arithmetics Digital Signal Processing History
Combinatorics Transforms Recreational Mathemtics
Number Theory Wavelets Games
Algebra ... ...
...
 
Can somebody (with better access to these sources) check to see if this massive 25k byte expansion to the article is actually sourced properly. [[User:Allan Nonymous|Allan Nonymous]] ([[User talk:Allan Nonymous|talk]]) 01:29, 19 August 2025 (UTC)
 
== [[Lattice point]] ==
Now you could either put all the categories in the three columns together under [[:Category:Mathematics]] or put them in their own subcategory (Pure Mathematics, Applied Mathematics), resulting in a rather tiny index, whcih would probalbly be my preference, but I think this might be a bit too controversial? --[[User:R.Koot|R.Koot]] 10:52, 11 May 2005 (UTC)
 
Since 2004 (when it was created by {{ping|Charles Matthews}}), [[Lattice point]] has been a redirect to [[Lattice (group)]]. In my experience, it is frequently the case that the term "lattice point" specifically means a point of the [[integer lattice]] {{tmath|\Z^n}} in {{tmath|\R^n}}, rather than a point in some other (or a generic) lattice. My instinct was partially validated by looking at the incoming links to [[Lattice point]]; some of them (like from [[Gaussian integer]], [[Equation]], and [[Pi]]) clearly are about the specific lattice, but at least some others (e.g., from [[Unit cell]]) mean something more generic. Since this redirect has been there for more than 20 years, I thought I would get other opinions before boldly changing the target. --[[User:JayBeeEll|JBL]] ([[User_talk:JayBeeEll|talk]]) 21:02, 23 August 2025 (UTC)
:: (This was written before I saw R.Koot's comment above.) At the moment, we have several ways to navigate through the articles:
::* Wikilinks. This works well, but requires the user to read a lot of text to find the link he is interested in.
::* Categories. They are very useful, but in my opinion not very user-friendly. I actually agree that Category:Mathematics is a bit of a mess; part of the problem is that the list is sorted alphabetically, another part is the lists mixes very different kinds of subcategories, like Cellular Automata (a small subfield), Geometry (a big subfield), Formula needs explanation (a category meant for editors) and Theorems.
::* Lists like [[list of linear algebra topics]]. They provide more flexibility (one can sort articles as one wants, introduce subheadings, annotations), but the experience shows that these lists are difficult to maintain.
::* Navigational boxes. Again, I think these can be useful, but they take up space (especially when implemented as sidebars instead of footers) and they tend to grow out of control.
:: Unfortunately, none of these is perfect. I believe Charles Matthews has written a whole piece comparing these navigational aids, but I cannot find it anymore. But it would be good to build some sort of consensus on which to use where. -- [[User:Jitse Niesen|Jitse Niesen]] 11:10, 11 May 2005 (UTC)
 
:I think "lattice point" just refers to any point in a lattice, no? If one type of lattice is more commonly discussed than others, it might be a good idea to call it out specifically near the beginning of [[Lattice (group)]]. More generally, [[Lattice (group)]] would in my opinion benefit from some amount of copyediting/rewriting with the goal of making it more accessible, following [[Wikipedia:Make technical articles understandable]]. –[[user:jacobolus|jacobolus]] [[user_talk:jacobolus|(t)]] 21:28, 23 August 2025 (UTC)
:::The point about our existing systems of lists and categories is that they have grown up ''organically'', in line with the articles. They are not an ''imposed'', top-down categorisation. I support strongly the idea of doing it this way. After all, where do top-down lists come from? They are basically a bureaucratic idea, and not very compatible with wiki self-organising principles. What we need are a few structures to support the existing system. For example, a 'guide' page outlining the category system, and some project page on which to discuss areas where the coverage remains weak. [[User:Charles Matthews|Charles Matthews]] 08:55, 13 May 2005 (UTC)
 
::'''Comment''': "lattice point" is a term commonly used in crystallography - see for example [[Bravais lattice]]. There it is not always talking about something equivalent to the integer lattice: crystals are not always (from the point of view of their Euclidean geometry) of that type, but may be based on other three-dimensional lattices. The [[Eisenstein integer]]s form an example from pure mathematics. So I would say the current redirection is the useful one. [[User:Charles Matthews|Charles Matthews]] ([[User talk:Charles Matthews|talk]]) 05:52, 24 August 2025 (UTC)
::::This is a very good point. [[User:MathMartin|MathMartin]] 16:44, 14 May 2005 (UTC)
:::I agree that the phrase "lattice point" is a perfectly good and used phrase for "element of a lattice". It is also a perfectly good and used term for specifically an element of the integer lattice Z^n. My concern is that the second usage is (I think) more common, and specifically that the usage of the redirect on Wikipedia is more strongly attached to the (more elementary) second use, whereas the target is the first use. This is perhaps complicated by the fact that sometimes a statement about meaning 2 is also valid for meaning 1. Here's a more systematic analysis of the 14 articles at https://en.wikipedia.org/wiki/Special:WhatLinksHere/Lattice_point:
:::* [[Dislocation creep]], [[Minkowski–Hlawka theorem]], [[Unit cell]]: definitely meaning 1
:::* [[Reeve tetrahedra]], [[Proofs of quadratic reciprocity]], [[Continued fraction]], [[Gaussian integer]], [[Pi]], [[Equation]]: definitely meaning 2
:::* [[Kemnitz's conjecture]], [[Vojtěch Jarník]], [[Diophantine geometry]]: IMO meaning 2 is clearly intended although possibly these are situations where a statement about Z^2 generalized to all planar lattices
:::* [[Thomas Zaslavsky]]: ambiguous in context but I think more likely meaning 2 than meaning 1
:::* [[List of mathematical properties of points]]: who knows?
:::This (which I admit is partly subjective) reinforces my prior expectation that an editor who adds a WL to the phrase "lattice point" is probably expecting it to go to an article about points in Euclidean space with integer coordinates, not to an article about general lattices. I propose to change the target to [[Integer lattice]] and to adjust the text/link at the three articles where the redirect is being used with its current meaning. (FWIW I have also just created a redirect [[Integer lattice point]].)
:::I also agree that the article [[Lattice (group)]] is way more technical, especially at the beginning, than it needs to be. --[[User:JayBeeEll|JBL]] ([[User_talk:JayBeeEll|talk]]) 20:19, 24 August 2025 (UTC)
::::I think having [[lattice point]] go to [[integer lattice]] seems unjustifiably specific. There are many sources (e.g. ''[[Sphere Packings, Lattices and Groups]]'') which use the name "lattice point" to refer to points in all sorts of lattices. As a concrete data point, there are some 17k results on Google scholar for «"lattice point" hexagonal». If you want to go through every example of {{code|[[lattice point]]}} and change it to {{code|[[integer lattice point|lattice point]]}} where that seems the most relevant, I don't think anyone would complain though. –[[user:jacobolus|jacobolus]] [[user_talk:jacobolus|(t)]] 07:22, 25 August 2025 (UTC)
 
== Asking for review of [[Bernoulli's method]] ==
I see that R.Koot went ahead and performed the edits anyway, despite the discussion. I disagree with a number of the edits. About a month ago, [[:Category:mathematics]] had approx 300 articles. I categorized almost all of them, leaving behind about 30 articles that gave a '''flavour''' of mathematics, that dealt with topics that were broadly applicable to all branches of mathematics, or that were inter-disciplinary, giving a sense of the relation of mathematics to broader society. While not perfect, the remaining lone articles '''in combination with''' the list of categories, gave a pretty good overview of what math is about. I am rather distressed that the collection of individual articles were shorn out of the category (I started reverting last night, I plan to continue when my spirits increase). [[User:Linas|linas]] 17:46, 14 May 2005 (UTC)
 
As the main contributor to [[Bernoulli's method]], it seemed improper for me to assign rankings, so I asked for help with importance in the article's [[Talk:Bernoulli's method|talk]] page last May, but got no response. Thought I should try and highlight it here. Appreciate any help. [[User:Basilelp|Basilelp]] ([[User talk:Basilelp|talk]]) 21:13, 24 August 2025 (UTC)
As to the 65 subcategories of mathematics, its certain that this list could be cleaned up a bit and shortened; but I'm sure I'd shit the proverbial brick if it was not done correctly. [[User:Linas|linas]] 17:46, 14 May 2005 (UTC)
 
:One objective way to ''rate'' articles is to use the [[User:Evad37/rater|Rater]] which I applied. It compares the structure of the content to other articles and works well for Start/C/B. It doesn't say anything about the quality of the content itself and it does not address ranking which seems to be subjective. [[User:Johnjbarton|Johnjbarton]] ([[User talk:Johnjbarton|talk]]) 23:09, 24 August 2025 (UTC)
== vote for MarSch's adminization ==
:I don't think that the article rankings are that important. You can pick whatever feels right to you, and if someone cares enough to be upset over that, they can change it. [[User:Stepwise Continuous Dysfunction|Stepwise Continuous Dysfunction]] ([[User talk:Stepwise Continuous Dysfunction|talk]]) 02:47, 25 August 2025 (UTC)
::It is definitely allowed and acceptable to assign the ratings stub/start/C/B to articles you wrote yourself. Same for importance rankings. If anyone disagrees, they can change them, and as noted above ratings in general are not that important. But for the more advanced ratings (GA and FA) there are other procedures you have to go through. —[[User:David Eppstein|David Eppstein]] ([[User talk:David Eppstein|talk]]) 06:21, 25 August 2025 (UTC)
:Personally, I prefer to rate C, for lack of sources. Hopefully, I'm allowed to give some tags. [[User:Dedhert.Jr|Dedhert.Jr]] ([[User talk:Dedhert.Jr|talk]]) 09:59, 25 August 2025 (UTC)
::I tend to agree. It's close to B but entire unsourced sections drop it down to C. —[[User:David Eppstein|David Eppstein]] ([[User talk:David Eppstein|talk]]) 18:22, 25 August 2025 (UTC)
:You should feel free to apply any rating from "Start" through "B" to articles you wrote yourself, trying to give your best fair assessment. If someone disagrees they can change it or start a discussion. After skimming through, I would rate article as a "B".... but the rating is pretty arbitrary and doesn't matter much. The main use I have for these ratings is that the set of articles with high view count and/or "priority" rating but low "quality" rating are an excellent place to look for high-impact articles to improve. If you want to get a little green badge or gold star, you have to do a bit more work to tick items off their respective checklists, but even those ratings are quite variable in practice and should not be taken to mean more than that one editor has listed an article for badging and another editor has reviewed it against the checklist (with a highly variable level of rigor). –[[user:jacobolus|jacobolus]] [[user_talk:jacobolus|(t)]] 00:22, 26 August 2025 (UTC)
 
== Citation spam ==
Please visit [[Wikipedia:Requests for adminship]] and vote on my application. I want to do some edits on protected pages, but I have too few edits yet to get enough anonymous support, so since you guys know me a little better I'm hoping that my edit count will be less of an issue. So please take a look. -[[User:MarSch|MarSch]] 14:43, 13 May 2005 (UTC)
 
After noticing that a very recent journal article without any citation add been added the the [[Poisson distribution]] article by the recently created account @DoctorThere, I investigated a bit a so that this article has recently been spammed across various wikis by legitimate-looking accounts with similar names (e.g, CarlosSantana'''95''' and MadameButterfly'''96'''). To me that (strongly) suggests citation spam. Should I be bold and just remove any mention of Guerriero and Tallini's article from all wikis? [[User:Malparti|Malparti]] ([[User talk:Malparti|talk]]) 13:05, 26 August 2025 (UTC)
 
:It could be that the citations are common because a newer paper reference it and so several experts in multiple wikis are adding it because of recently see it. Or there may be some other reason. Just because two people in a group of users have two numbers at the end of their username does not mean the whole group or even two people in the group are the same person. I think it is a bit of an overreaction, but if the cited material in the other wikis do not add to the respective wikis then the editors of those wikis will probably remove it. I do admit that adding a citation of an article that is over 10 years old to an introductory topic article is a bit suspicious. [[User:EulerianTrail|EulerianTrail]] ([[User talk:EulerianTrail|talk]]) 16:45, 26 August 2025 (UTC)
==Hoaxer is back==
 
[[Kimberton's Poppages Theorem]], now deleted, was the Bryleigh (Cayley/Newbirth) hoaxer again. Not possible to do a long-term block on the IPs used. Everyone please look out for hoaxes. [[User:Charles Matthews|Charles Matthews]] 14:08, 14 May 2005 (UTC)
 
:Is there a way of monitoring what articles are added to (or removed from) a category? I'm wondering how you discovered the existance of the above page. (No doubt, you're aware of my recent bout of categorization and thus interest in such things.) [[User:Linas|linas]] 17:54, 14 May 2005 (UTC)
 
::It's possible to monitor added articles, but not removed articles; see [[m:Help:Category#Detection_of_additions_to_a_category]]. [[User_talk:SDaniel|Daniel]] 18:26, 14 May 2005 (UTC)
 
== mathbf or boldsymbol? ==
 
Typically, bold font is used for vectors, as in <math>\mathbf{x}=(x_1,\ldots,x_n)</math>. Note that <math>\mathbf{\xi}</math> does not have the desired effect. I think it would be better to use \boldsymbol as in <math>\boldsymbol{x}(t)=\boldsymbol{f}(t,\boldsymbol{\xi}(t))</math> ([[User:Igny|Igny]] 23:52, 15 May 2005 (UTC))
 
: Well, we'll use whatever works. We can use mathbf, and when it doesn't work, we can use boldsymbol. Observe also that <math>\boldsymbol{x}</math> does not show up the same as <math>\mathbf{x}</math>, which may be undesirable. [[User:Dysprosia|Dysprosia]] 23:49, 15 May 2005 (UTC)
 
::I didn't know about boldsymbol, but I like it. Use whatever is more appropriate. -[[User:MarSch|MarSch]] 11:43, 16 May 2005 (UTC)
 
: Vector valued variables should be written bold but not italic so you should use \mathbf not \boldsymbol --[[User:R.Koot|R.Koot]] 00:37, 17 May 2005 (UTC)
:: Agree with [[User:R.Koot|R.Koot]]. [[User:Oleg Alexandrov|Oleg Alexandrov]] 01:18, 17 May 2005 (UTC)
 
== Problem with the "what links here" feature, affecting the recent changes to [[list of mathematical topics]] ==
 
If you check what links to the article [[Osculating circle]], one can see that it linked from the [[List of mathematical topics (O)]]. However, it does not look as if it is linked from [[list of mathematical topics (M-O)]], which is very strange, because if you click on that page you will certainly see the article listed.
 
On the other hand, if you look at what links to [[Alan Turing]], you will see a link from [[List of mathematical topics (S-U)]], which is ''wrong'', as if you visit [[List of mathematical topics (S-U)]] you will ''not'' see [[Alan Turing]] listed there. I removed this article from there a long while ago (since it shows up in [[list of mathematicians]]).
 
As such, the "what links here" feature does not show links which exist, and does show links which do not exist. This affects the "rececent changes" from [[list of mathematical topics]]. I find this very strange. Anybody having any ideas with what is going on? [[User:Oleg Alexandrov|Oleg Alexandrov]] 19:15, 18 May 2005 (UTC)
 
:I seem to remember that there are some bugs with ''What links here'' when combined with templates. I think you should look in the list with wikimedia bugs for details, or wait and hope that somebody gives you a more precise answer. [[User:Jitse Niesen|Jitse Niesen]] 21:06, 18 May 2005 (UTC)
 
::I've been seeing stuff like this in more than Mathematics, but I can't really help you out in knowing what the problem is. It's probably just some kind of bug with the overall feature, as Jitse said. [[User:Sholtar|Sholtar]] 04:13, 2005 May 19 (UTC)
 
::: I went to [[List of mathematical topics (J-L)]] and just inserted a comment and saved the thing. Miraculously, the "what links here" feature worked just fine afterwards! The moral I think is that every once in a while applying a dummy edit will refresh the database, and quirks as above -- where linked articles did not show as linked and unlinked articles showed as linked -- will not show up. [[User:Oleg Alexandrov|Oleg Alexandrov]] 19:39, 21 May 2005 (UTC)
 
== Move of "Mathematical beauty" to "Aesthetics in mathematics", comments? ==
 
(''Discussion moved to [[Talk:Mathematical beauty#Move of "Mathematical beauty" to "Aesthetics in mathematics", comments?]]. &mdash; [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 20:00, May 27, 2005 (UTC))
 
== Covariant, contravariant, etc. ==
 
Here is some discussion from my talk page. -- [[User:The Anome|The Anome]] 14:57, May 20, 2005 (UTC)
 
[[User:Pdn]] wrote:
 
The entry [[Contravariant]] has a notice: "This article should be merged into covariant transformation. If you disagree with this request, please discuss it on the article's talk page."
I very much disagree. I wrote something on the discussion page but the notice is still there, so here I go.
 
The term ''covariant'' has two very different meanings. In relativity theory (and probably differential geometry) it refers to the invariance of a quantity (generally a measurable one) when coordinates are changed, including changes among relatively moving reference frames. For example, the velocity of light is covariant, and the [[rest mass]] of an object can be determined in a way that does not depend on coordinate system or reference frame, i.e. a covariant way. But ''covariant'' also refers, unfortunately, to certain components of a vector or tensor that do usually change very much when the coordinates change. The simplest example is the vector from one point to another in ordinary three dimensional geometry. In the usual Euclidean metric, the numerical values of the contravariant and covariant versions of the vector are identical. If we perform a coordinate transformation doubling all the coordinates, (x',y',z') = (2x,2y,2z) then all the contravariant coordinates double but the covariant ones are cut in half. The distance, which depends only on the products of the coordinate differences (contravariant times covariant) (summed, and then the square root taken) does not change. It is covariant, but the covariant coordinate increments were all cut in half. The transformation is a covariant one, but does not preserve the covariant components. The invariance of the distance relates to the discussion of "covariant transformation" while the discussion of the changes in individual coordinate values, contravariant ''vs'' covariant, belongs in "contravariant". Thus, the notice suggesting merge should be removed. If you want to match "contravariant" with something, then you should create a page "covariant component" as opposed to "covariant transformation." Else you could rename "contravariant" as "Contravariant and covariant components" and I will port some of this discussion in there. These very concepts are rather passé now, at least in relativity theory, as the use of [[differential form]]s is supplanting old fashioned tensor analysis, but some folks still use tensors for fluid and continuum mechanics [http://www.absoluteastronomy.com/encyclopedia/C/Co/Continuum_mechanics.htm], rheology [http://maps.unomaha.edu/Maher/GEOL3300/week6/rheology.html], mechanical vibration, crystal optics [http://www.absoluteastronomy.com/encyclopedia/c/cr/crystal_optics.htm] and other fields not so suitable for the fancier newer maths so the entries should not be dropped. Simple tensor analysis is helpful when a cause (force, mechanical stress, polarized optical beam, e.g.) produce an effect imperfectly aligned with it. Such usages do not lend themselves as much to exterior differential form analysis so there's no reason to toss old-fashioned tensor analysis. [[User:Pdn|Pdn]] 13:48, 19 May 2005 (UTC)
 
[...time passes...]
 
Dear Anome (sorry to put this as a trailer on some vandalism , but I do not know how to create new messages without appending to old.)
I'm afraid that the two usages of "covariant" are so very different that your concept of parallel disambiguation pages won't fly. I have never heard of a "contravariant transformation", though you could ask a person more expert than I in differential geometry or differential forms. As I explained, "covariant components" and "contravariant components" are two faces, so to speak, of the same thing. The second one, in the case of the differentials of coordinates (hope I restricted my remark to that case) is an integrable quantity, a thing many people do not realise. Thus, if one totals the contravariant component of "dx" around some closed curve one gets the change in x, a property not generally shared with the covariant component of dx. I do not know how "covariant" came to be used for vector components, but I do not see it as related to the invariance under transformations. The devil of it is that we can't just change "covariant transformation" to "transformation with invariants" for many reasons, including wide usage probably started by Einstein. You could make up a disambiguation page for "covariant" pointing to "covariant transformation" on the one hand and "covariant tensor components" on the other. Unfortunately you cannot just use names like "covariant tensor" and/or "contravariant tensor" because these are two faces of one item. So you would have to work with "covariant tensor components" and make up a page like the existing one for "contravariant" for that case, so you could change "contravariant" to "contravariant tensor components." Actually, now that I think of it you could rename "contravariant" as "contravariant and covariant tensor components" and I'd be glad to fill in the "covariant" portion - you can leave a stub. Then the disambiguation page would fork between "covariant transformation" and "contravariant and covariant tensor components."
 
:I think we probably need to discuss this at the [[Wikipedia:WikiProject Mathematics]] I agree with you about the covariant and contravariant components of tensors; tensors seem to be a particularly tricky subject here for some reason. The term "contravariant transform" seems to have been used: see Google for a few examples of what seem at least at first sight to be valid uses. The other terms really need some thought; you've certainly convinced me that a simple merge/redirect alone will not do the job. To that end, I'm copying your recent comments and this reply into the [[Wikipedia talk:WikiProject Mathematics]] page. -- [[User:The Anome|The Anome]] 14:51, May 20, 2005 (UTC)
 
::Some confusion here. Differential forms, which are always contravariant, can only 'replace' tensors that are already contravariant and antisymmetric with respect to interchange of indices. The "components" terminology causes more confusion than anything else in this area, I think. In the presense of a metric you can indeed 'raise and lower indices', so have the option of taking the components of the variance you want; but that is very much not the ''basic'' situation with tensors. [[User:Charles Matthews|Charles Matthews]] 15:14, 20 May 2005 (UTC)
 
:::When physicists say covariant, they mean tensorial as far as I know. Since tensors exist without reference to any coordinate system they don't transform.
 
:::This is a fine mess we have here. I think the article about [[covariant transformation]]s is really about [[coordinate transformation]]s. Then the components of tensors transform co(ntra)variantly as per their nature. Perhaps we should merge the lot with [[tensor]] or [[tensor field]]. You can only take covariant components and contravariant components of a (co)vector when you have a metric.--[[User:MarSch|MarSch]] 15:34, 20 May 2005 (UTC)
 
I am afraid you maths guys are taking the definitions and discussion too far away from what is used by engineers and the more pedestrian of physicists. I have taught relativity using differential forms, but not for a while and had forgotten that part about their always being contravariant. Engineers would be floored by trying to use differential forms and I am not even sure they are useful for elasticity, fluid mechanics in Newtonian theory, birefringent optics, and so on. In all the cases normally used by physicists and engineers, you do have a metric. So the math is getting far afield by discussing cases with and without metric. There are some anomalous theories in physics where the metric is affected by another field (e.g. Brans-Dicke theory and other "conformal" theories,) and it may be that branes can make the usual usage of a metric muddled (path dependent) but you are getting so far from what can be used in most colleges and in university courses in physics or engineering up through second year graduate school, that I am getting queasy. In relativity, we distinguish general covariance and covariance under the special theory of relativity. In the latter case, measurable quantities have to be invariant to the Lorentz transformation (in the most general sense, including translations and rotations, as well as [constant] velocity differences, but not to time-varying rotation). In the former, the measurables must be locally invariant to change to systems in relative acceleration, including time-varying rotation. While coordinate changes are not measurables in the strictest sense, distances are. By "the strictest sense" I mean that a reliable measuring tape or clock does not measure a coordinate, but it measures the distance, including the metric. I will stop here or the debate entries will become too long. Anyway, to physicists "covariant" does not mean "tensorial" in my opinion, it means invariant to certain coordinate and reference frame changes as I described above. [[User:Pdn|Pdn]] 14:42, 21 May 2005 (UTC)
 
:I'm confused by the confusion. A '''covariant transformation''' is the thing that changes the coordinate system on a '''covariant tensor component''' on a (mixed) tensor. Ditto for contra. Mass and speed of light are invariant and not covariant. The people who study branes and Brans-Dicke know differential geometry inside-out and upside-down, so I'm not worried about them. The above seems to be implying that there is something else out there, not yet documented in WP, that is called a "covariant transformation" ?? what is that thing? [[User:Linas|linas]] 00:19, 22 May 2005 (UTC)
 
You are absolutely right - sorry - there is no such thing as a covariant or contravariant transformation. If one wants to make up separate names for the operations on covariant and contravariant components, one could use these names, but that would obscure the fact that (when there is a metric) both kinds of components are just different aspects of one thing, the tensor. So I would think that the two items could be combined into one about how to transform tensors, in component form. And also you are right that I should have used "invariant" for scalars that remain fixed in transformation. I just now referred (way) back to Peter Bergmann's book "Introduction to the Theory of Relativity" (Prentice-Hall, 1942) and my memory is returning: ''equations'' can be covariant under certain kinds of transformation; the ''transformation'' is not the covariant thing. When the equation (such as <math>G_{ab} = R_{ab} - {R \over 2} g_{ab} + \Lambda g_{ab} </math> ) is preserved under coordinate transformations ''it'' is covariant. I also agree, and I am glad you agree, that people doing advanced work such as branes and conformal theories do not need any help from Wikipedia; that is why I wanted to steer away from cases where there is no metric, which were referred to by [[User:MarSch|MarSch]] on May 20. So I suppose we need entries for tensors and their transfromation rules, covariant and contravariant components, and covariance of equations - the exact titles are not clear to me. In regards to the previous comment (also by MarSch):
":::When physicists say covariant, they mean tensorial as far as I know. Since tensors exist without reference to any coordinate system they don't transform." I agree in part - the tensor is "there" and we just see different views of it when we take components in different systems, but we need to retain some of what was taught to engineers, physicists and maybe even some differential geometers, who can't easily be weaned from components. I am now probably going to cease writing here because there is, indeed, so much confusion over [[covariant]], [[covariant transformation]] and [[contravariant]], and you mathematicians should be the ones to settle it. I just hope you leave something useable by scientists and engineers who do not want to learn more advanced mathematics than they have to, but want to use tensors.[[User:Pdn|Pdn]] 03:12, 22 May 2005 (UTC)
 
:Yes I agree, three articles on essentially one topic is too much. All three, [[covariant]], [[covariant transformation]] and [[contravariant]] should be merged. Yes, the expression "covariant transformation" is a poor choice of language, and the new article should be purged of this expression. Oleg is right, there are times when a metric doesn't exist, or the metric is not invertible, but these cases should be treated in distinct articles (non-invertible metrics occur in subriemannian geometry; a special language exists for this case.). The component notation is just fine for the merge article. (The metric-less and componenent-free case is already dealt with in the pullback/pushforward articles.) Not sure what MarSch is going on about with this component-less thing; I'd like to see him write a computer program that graphs pictures of tensor quantities without using components ;-). If an equation is invariant under a change of coordinates, one calls that equation invariant in modern terminology, not covariant. I guess some folks might still use the term "covariant" in this case, but suspect its anachronistic. I'm not planning on doing any merging myself. [[User:Linas|linas]] 06:40, 22 May 2005 (UTC)
 
:Oh, and I do see one point of confusion: the "transformation" of [[tensor]]s under changes of vector basis is related to, but not at all the same thing as the "transformation" of [[tensor field]]s under change of coordinates. Unfortunately, these two distinct concepts often do get conflated. [[User:Linas|linas]] 06:48, 22 May 2005 (UTC)
 
I do not see any difference between a tensor and a tensor field, unless the former is a very special case, being defined at only one point, and therefore of little use. I do not consider terms like "covariant" (for invariance of an equation under special-relativistic transformations) and "generally covariant" for invariance under more arbitrary transformations in GR (I say "more arbitrary" because I want to keep the light cones etc preserved) to be out of date. That's what Einstein used so it is worth preserving; otherwise people need to ask the mathematicians who changed the definition what Einstein meant. This kind of thing is often tried by well-intended people who like, nevertheless, to play "follow-the-leader." One outstanding case was the late (I believe) Parry Moon of MIT. He wrote the article on illumination in the 1956 Encyclopedia Brittannica, wherein he tried to replace ordinary concepts like brightness, illumination, luminous flux, the lumen etc by a new breed of terms such as "pharosage","lamprosity" (sounds like something that invaded the Great Lakes, killing many gamefish), "blondel," "stilb" and "apostilb." The terms have not stuck very well but can be found here and there. Moon and collaborators (such as Domina Eberle Spencer and Euclid Eberle Moon) wrote many bizarre papers. Early on, Moon and Spencer claimed, in ''J.Opt.Soc.Am.'' '''43''',635(1953), that according to relativity, light from distant galaxies could reach Earth in a few hours or days. This was picked up by young-earth creationists, and stil is, but it is nonsense. More recently, the indomitable trio published items supporting a ballistic theory of light in Physics Essays, and for the latest see this: [http://www.libreriauniversitaria.it/BUS/0521245850/Theory_of_Holors.htm].
So be careful about renaming things like the covariance of an equation. It may be a sign of impending senility. OK, nowadays a janitor is a "building engineer" and an overweight person is "gravitationally challenged," but that's harmless, while to side-track people who want to understand the writings of Einstein, Minkowski, Weyl, Pauli, and many capable if not illustrious successors by requiring them to consult Wikipedia talk pages to find out that the "covariance" of an equation is now called "invariance" is uncool. The forgoing was not a filibuster and I am not a filibusterer [http://www.wtblock.com/wtblockjr/spanish.htm]. One final point: Somebody (I believe he was named Kretschmer) once pointed out that you can make anything into a tensor by defining it in one system and transforming it to any other by tensor transformation rules. So, reflecting on that, we see that "covariance" of a physical quantity or scientific equation means that the same measurement process used to measure it in one system will measure the transformed version of in (transformed using tensor rules) in another system. For example. E^2-B^2 where E is electric field and B magnetic is covariant. E-B is not, but if you measure E-B in one frame and then transform it to other frames by brute force with tensor rules you can claim that it is covariant or invariant etc. So "general covariance" has more to it - that the physical content is carried over to new frames - not just math.[[User:Pdn|Pdn]] 05:09, 23 May 2005 (UTC)
 
What I don't like about merging into [[covariant]] and [[contravariant]] is that those are adjectives, so the article is about a descriptor instead of a thing. As a physicist I came across [[covariant transformation]] long before [[covariant]], but that's because we usually define co(ntra)variant vectors by how they transform. If they're going to be merged into one article, how about at least something like [[covariant tensor]]. But personally this differential geometry talk is above my head, and I'm just pulling for them ending up somewhere that makes sense to physicists, too. --[[User:Laurascudder|Laura Scudder]] | [[User talk:Laurascudder|Talk]] 22:41, 26 May 2005 (UTC)
 
:Since this issue is being clouded by various points-of-view, I think we need to talk structure and organisation first. Nouns are better than adjectives, as Laura implies: so we need to treat ''covariance'' and ''contravariance'' in some central place. I suggest making [[covariance and contravariance]] the 'top level', most general article, and hang things like [[tensor field]] (all those indices) off it. [[User:Charles Matthews|Charles Matthews]] 09:17, 27 May 2005 (UTC)
 
==[[Talk:Squaring the circle]]==
 
Perhaps my fellow math-nerds should look at [[Talk:Squaring the circle]]. I have taken the position that the article is about the legitimate mathematical problem of squaring the circle and the proof, published in 1882, that it is impossible; that although it should ''mention'' crackpots who continue working on squaring the circle, nonetheless that that topic is at most tangential (to the circle?)[[User:Pdn|Pdn]] 15:10, 21 May 2005 (UTC). As nearly as I can tell, a Wikipedian named [[User:SebastianHelm|Sebastian Helm]] is saying that squaring the circle is a topic invented by crackpots rather than a legitimate mathematical problem. He seems very angry at my assertion to the contrary, which he called "BS". [[User:Michael Hardy|Michael Hardy]] 04:06, 21 May 2005 (UTC)
 
: I am sorry about the misunderstanding. What i called BS was your ''"example of a conspiracy of space aliens"''. I never said that "squaring the circle is a topic invented by crackpots". And i got angry because you keep putting words in my mouth which i never said or meant (on three counts including this one). You don't even have to ''assume'' good faith, if you just stick with the facts. &mdash; [[User:SebastianHelm|Sebastian]] [[User_talk:SebastianHelm|(talk)]] 16:30, 2005 May 21 (UTC)
 
:: I think all of this started with Sebastian putting [[Squaring the circle]] in [[:Category:Pathological science]], which is kind of undeserved. [[User:Oleg Alexandrov|Oleg Alexandrov]] 17:45, 21 May 2005 (UTC)
 
I agree with Michael and Oleg in questioning the appropriateness of the category "pathological science", for this article.
In fact, I think that "pathological science" is a problematical name for a category. The description given [[:Category:Pathological science|here]] seems to imply as much, and Sebastian seems to agree, quoting from [[Talk:Squaring the circle#finding suitable category to express the idea of pointless scientific efforts|here]]: "I don't like the name "[[:Category:Pathological science]]", either, but this was the closest i could find." A good category name should be self-explanatory, which this one is not. It should not require a paragraph to define, and then still be not quite clear (to me at least). Having said that, there ''is'' some merit to what this category is trying to describe. And it ''does'' have some relationship to this article. And there are other mathematical topics which might share this relationship, for example other impossible contructions like [[angle trisection]] (do people still try to do this?).
 
As to the somewhat unpleasant discussion between Michael and Sebastian, I think there has been some misunderstanding going on. I do not see that Sebastian said or implied that "squaring the circle is a topic invented by crackpots rather than a legitimate mathematical problem". Nor do I think he meant to imply that by assigning the article to the category "pathological science", although I can see why Michael might have thought so. I think ''everyone'' agrees that "squaring the circle" was a legitimate problem considered by serious and reputable mathematicians, ''prior'' to the proof that it is impossible. However, that people nevertheless are still trying to square the circle, is an interesting phenomenon, which is deserving of some thought and discussion, and perhaps even a category.
[[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 21:08, May 21, 2005 (UTC)
 
Yes, I agree. This is exactly what i meant! Thanks for getting back on topic! Possible names include:
* pointless scientific efforts
* misguided scientific endeavours
* research which flies in the face of facts
&mdash; [[User:SebastianHelm|Sebastian]] [[User_talk:SebastianHelm|(talk)]] 22:10, 2005 May 21 (UTC)
 
[[Squaring the circle]] is not the right article for a more-than-tangential mention of mathematical crackpots. Certainly a separate article could treat that. [[User:Michael Hardy|Michael Hardy]] 01:24, 22 May 2005 (UTC)
 
:Micheal, I think the request is to come up with a catchy category name that says "this topic is a legit topic that tends to attract crackpots"; not just math but in general. [[free energy]] and [[casimir effect]] spring to mind. [[User:Linas|linas]] 06:56, 22 May 2005 (UTC)
 
::What exactly is the motivation behind creating a category bringing together subjects 'attracting crackpots'? Surely not to attract crackpots more effectively. It seems kind of unencyclopedic to give these things too much attention. [[User:Charles Matthews|Charles Matthews]] 20:51, 27 May 2005 (UTC)
 
Perhaps [[:category:pseudoscience]] is the category which Sebastian is looking for. Although I don't think it would be appropriate for [[Squaring the circle]]. And [[pseudomathematics]] could be the right place for a more lengthy description of the phenomenon represented by the continued attempts to square the circle. [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 21:19, May 27, 2005 (UTC)
 
I'll say first of all that it's clear all this resolves around the aggressively named category "Pathological science". Let me draw a more modern parallel.
 
In complexity theory, a classical result is that the class [[NL (complexity)|NL]], and indeed the entire log-space hierarchy, collapses to NL &mdash; that is, NL is closed under complement. I've read papers predating this discovery by the most eminent of researchers, still alive today, that claimed that most researchers reasonably believed that the log-space hierarchy did not collapse, and they based some of their results on this. A similar thing happened with the discovery that [[SL (complexity)|SL]] is closed under complement, widely believed to be false not so long ago and now trivial as a consequence of L=SL.
 
The short of it is, very smart and very reasonable people have good reasons to believe that things that are false. Neither they nor the goals they pursue are "pathological" or even "misguided"; rather, they are reasonable actions based on available knowledge.
 
Finally, one more example: I can't remember the name, but one of the founders of noneuclidean geometry actually believed that Euclid's parallel postulate could be derived from the remaining axioms &mdash; in other words, his aim was to ''disprove'' the existence of any alternate geometry. He assumed that the axiom was false for purposes of contradiction, going on to write a large book deriving many results from noneuclidean geometry, eventually uncovering a "contradiction" which was actually an error and proclaiming the theorem proved. Was he a crackpot? No. Was his effort pointless? Not at all! He didn't achieve the unattainable goal he set, but he discovered a lot of useful things in the process. You don't tell a kid they'll never be an astronaut.
 
So what's a good category? I vote for [[:Category: Disproven conjectures]].
 
[[User:Dcoetzee|Deco]] 09:44, 28 May 2005 (UTC)
 
== [[Wikipedia:Classifications of mathematics topics]] ==
 
Seems this page was not updated in ages. And right on top is a suggestion to maybe delete. Indeed, what people think? We already have [[areas of mathematics]], [[list of lists of mathematical topics]], and [[list of mathematics categories]]. So, [[Wikipedia:Classifications of mathematics topics]] seems kind of reduntant. Or does this article have a purpose? [[User:Oleg Alexandrov|Oleg Alexandrov]] 02:15, 22 May 2005 (UTC)
 
: It proposes 2 categorizations one of which is original work and the second is included in [[areas of mathematics]]. Looking more closely this seems to be a talk page not an article? --[[User:R.Koot|R.Koot]] 15:24, 22 May 2005 (UTC)
:: What do you mean by ''original work''? [[User:Oleg Alexandrov|Oleg Alexandrov]] 16:01, 22 May 2005 (UTC)
 
::: I meant [[original research]]. --[[User:R.Koot|R.Koot]]
 
 
:::: For now, I redirected [[Wikipedia:Classifications of mathematics topics]] to [[areas of mathematics]], as the two aritcles have exactly the same purpose and the latter is more compete and better written. Both pages seem to be concerned with classifying the math on Wikipedia based on the [http://www.ams.org American Mathematical Society]'s math subject classification, [http://www.ams.org/msc/ MSC2000].
 
:::: Also, some content in [[Wikipedia:Classifications of mathematics topics]] makes me think that this page was either vandalized, or otherwise very sloppily edited.
 
:::: By the way, I have a feel that [[areas of mathematics]] would need some work, but I don't know exactly what kind of work; it just feels somewhat unfinished. Any ideas on what to do with this page? [[User:Oleg Alexandrov|Oleg Alexandrov]] 00:22, 2 Jun 2005 (UTC)
 
==Possible crackpot pages==
Seems that [[User:Laurascudder]] has unearthed a cluster of physics pages of highly dubious content. I'm not sure what to do with them. I'd suggest VfD except that I don't quite know that process.
 
*[[Coherence condition]]
*[[Electromagnetic jet]]
*[[Extended Yukawa potential]]
*[[Nonlinear Coulomb field]]
*[[Nonlinear magnetic field]]
*[[w-field]]
and possibly also
*[[Quantization of the pionic interaction]]
although this last one almost does make sense.
 
As a whole, these pages seem to be filed with errors, ommisions, indecipherable formulas, a mixture of trite and deep statements, notation pulled from many different areas of physics and mashed together in highly non-standard, incoherent ways. My gut impression is that most of this stuff is dubious "original research" by an out-of-work Soviet nuclear technician who has a strong grounding in physics, but was unable to master quantum field theory as it is taught today. So what's the WP process for stuff like this? [[User:Linas|linas]] 16:39, 22 May 2005 (UTC)
 
:Linas, I recommend heading over to [[Wikipedia:Votes for deletion]] and going to the bottom of the page, there are instructions there for listing on VfD. Even if these pages end up being worth keeping, it's still a good thing to know. [[User:Sholtar|Sholtar]] 17:11, May 22, 2005 (UTC)
 
These are all created by the same guy - [http://en.wikipedia.org/w/index.php?title=Special:Contributions&target=Rudchenko Rudchenko] (no user page, so link shows all contributions to date). [[Maxwells nonlinear equations]] looks especially suspect to me... (I always understoof Maxwell's equations are the whole and the entirity of non-quantum electromagnetism). I will try contacing people I know to get some definate answers. [[User:Tompw|Tompw]] 17:07, 22 May 2005 (UTC)
 
:[[Gluonic vacuum field]] should also be looked at. It seems to belong to the same cluster of articles. [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 03:28, May 23, 2005 (UTC)
 
::Well, it seems they have gone to VfD anyway, which is a process hard to stop once it is started. Rather than theorising about the author, I think it is important to focus on what we know about the content. Which is indeed about an alternate line of field theory, to standard QFT. There is a key passage on one of the pages, which I will cite when I find it. [[User:Charles Matthews|Charles Matthews]] 10:01, 23 May 2005 (UTC)
::Right, the place to begin is certainly [[w-field]], with its reference to an approach to field theory attributed to [[Gustav Mie]]. One approach is to assume that all essentially all these pages are working out consequences of that idea. Original research they may be - I wouldn't know enough about this corner of theoretical physics to know. I don't think they should be deleted simply because the approach is different from standard QED. [[User:Charles Matthews|Charles Matthews]] 10:08, 23 May 2005 (UTC)
 
::: Hi Charles, I'm the one who VfD'ed it. The reason for this is not so much that they're non-standard (you should know by now that I have a weakness for non-standard things), but rather 1) they're pretending to be something they aren't: one could formulate a non-linear electrodynamics, but this isn't what's being done here. 2) They're filled with deductive errors. Sure, the pionic field is pseudo-scalar, (it changes sign under parity), but to argue that this means that the associated (non-relativistic) potential is purely imaginary is bizarre/wrong; the (non-relativistic) Hamiltonian wouldn't be hermitian, which is wrong. I suppose one could try to build up some quantum theory with non-Hermitian pseudo-Hamiltonians, but you'd have to lay oodles of groundwork first, and it might not work out in the end. 3) The same formulas show up in ''gluonic vacuum field'' and ''quantization of pionic field''. That's wrong. If it had been called ''pionic vacuum field'', that might have flown, but gluons are non-abelian, they belong to the adjoint rep of su(3); they're very different than pions, which would be a singlet of su(3). One musn't write an article about gluon-anything without saying su(3) at least once. 4) Multiple instances of the usage of the non-relativistically covariant Schroedinger equation, followed by remarks such as "we can use the Klien-Gordon equation". 5) article on ''coherence condition'': one can't write down a kinetic term that way, at least not without oodles of justification. The 'coherence condition', a purported variational minimization of the Lagrangian, is missing a few terms. The presentation turns incoherent shortly thereafter; the variation &delta; s should not be thought of as "non-fixed numbers".
 
::: As far as I'm concerned, this stuff is a [[word salad (mental health)|word salad]] of formulas, the likes of which is common in the underworld of flying saucer theory. Sure, one can build alternative theories, but one needs to lay a groundwork, define terms and the like. One mustn't say "D^2s=0" without first explaining what "D" is. And next, one must point out in the preface that these are "alternative theories", rather than pretending that Maxwell had invented some kind of non-linear equations (and thereby implying legitimacy). That's why I VfD'ed them; these articles are beyond repair. [[User:Linas|linas]] 14:49, 23 May 2005 (UTC)
 
::::FWIW, here's why I expound so confidently: my PhD thesis was on the [[Casimir effect]] inside of protons/neutrons, so I know a lot about the quantum vacuum state and QCD in general. This quark vacuum was coupled to a topological [[soliton]] made out [[pion]]s. That's how I got my grounding in math. As to pions ... somewhere (misplaced) I have a copy of the "Pion-Nucleon Interaction", signed by the authors, Andy Jackson (my advisor) and Gerry Brown, (his advisor). Gerry, unwelcome in the US, spent the McCarthy years running around Europe setting up nuclear research centers; one might say things like [[RHIC]] and the neutron star equation of state are his legacy. You can find a few of my lame publications from that era on scholars.google.com. e.g. "Justifying the Chiral Bag", cited by 21, hot damn![[User:Linas|linas]] 15:15, 23 May 2005 (UTC)
 
::One more quickie remark: The standard formulation of a non-linear version of Maxwell's equations is known as [[Yang-Mills]] theory, which these days is understood to be a [[principal bundle]] with fiber [[SU(N)]]. Rudchenko's attempts seem to be an effort to use SU(2), given the appearence of the cross-product. Until he explains how it differs from the 'standard' SU(2) formulation, its just bunk. [[User:Linas|linas]] 16:51, 23 May 2005 (UTC)
 
::: The articles are of such low quality they would have to be rewritten anyway. Further, the only person that seems to know anything about it [http://en.wikipedia.org/w/index.php?title=Special:Contributions&target=Rudchenko Rudchenko] stopped contributing several months ago. And last but not least I could not find any papers on the subjects (except for w-field and nonlinear magnetic field) meaning this will never be verifyalbe. So I'm in favor of a delete. --[[User:R.Koot|R.Koot]] 12:45, 23 May 2005 (UTC)
 
:::: Rudchenko is still contributing but is using anon IPs, see: [http://en.wikipedia.org/w/index.php?title=Special:Contributions&target=194.44.210.6 194.44.210.6], and probably: [http://en.wikipedia.org/w/index.php?title=Special:Contributions&target=195.184.220.198 195.184.220.198] and [http://en.wikipedia.org/w/index.php?title=Special:Contributions&target=213.130.21.162 213.130.21.162]. [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 16:52, May 23, 2005 (UTC)
 
::::: I'm confused. From 195.184.220.198 and 213.130.21.162 he tweaked some formulas, which you wouldn't do if this was a hoax. While he has been creating a link farm and given some very strange replies on talk pages from 194.44.210.6. (If your known similar calculation please give sign here. Rudchenko.)? --[[User:R.Koot|R.Koot]] 18:27, 23 May 2005 (UTC)
 
:::::inetnum: 194.44.210.0 - 194.44.210.255
:::::descr: Donetsk Regional General Scientific Library
:::::country: UA (Ukraine)
 
:::::inetnum: 195.184.192.0 - 195.184.223.255
:::::country: UA
:::::address: Scientific & Technological Centre FTICOM
 
:::::inetnum: 213.130.21.0 - 213.130.21.255
:::::descr: Dial-up pools and interface addresses. FARLEP-TELECOM-HOLDING, a subprovider of Farlep-Internet in Donetsk, Ukraine
:::::country: UA
 
:::::: I think it is more likely that these articles are original research than hoaxes. [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 19:07, May 23, 2005 (UTC)
 
 
::: [http://scholar.google.com/scholar?num=100&hl=en&lr=&safe=off&c2coff=1&q=%22extended+yukawa+potential%22&btnG=Search Extended Yukawa Potential], [http://www.shef.ac.uk/physics/teaching/phy304/yukawa.html Yukawa Potential]. Maybe this is of some use to anyone? --[[User:R.Koot|R.Koot]] 13:04, 23 May 2005 (UTC)
 
::::Be aware that google and even scholar.google is blissfully unaware of most modern physics and math. Dead-tree media still underpins the dominant publishing paradigm. [[User:Linas|linas]] 16:07, 23 May 2005 (UTC)
 
== Revert to an old version of [[manifold]] ==
(''Moved to [[Talk:Manifold]]. [[User:Oleg Alexandrov|Oleg Alexandrov]] 16:59, 27 May 2005 (UTC)'')
 
==Use of this page==
 
It is better, I think, if discussions on page content are left on the talk pages of the articles. It is perfectly fine if, in the case of an article of basic importance to mathematicians, an invitation to participate is made on this page. I really don't think long discussion threads on specific content issues are correctly placed here. [[User:Charles Matthews|Charles Matthews]] 10:11, 27 May 2005 (UTC)
 
: Right. Sorry, I did not think it will go that far. Not again. [[User:Oleg Alexandrov|Oleg Alexandrov]] 15:33, 27 May 2005 (UTC)
 
I agree with Charles. For obvious reasons, page-specific discussions, usually best occur on that page's talk page. I think there is a tendency to raise page-specific issues here, in order to reach a potentially wider audience, which I must say I ''do'' find useful, both as one who wants to "reach", as well as be reached. But as Charles implied, that can, to some extent at least, be accomplished by posting a notice (perhaps together with an excerpt of an ongoing discussion) here, with a request that further discussion occur there. In any event, any page-specific discussions which ''do'' occur here, should, at some point, be copied or moved to the associated talk page, so as to preserve a more complete historical record there. To that end, unless anyone objects, I will move the above section "Move of "Mathematical beauty" to "Aesthetics in mathematics", comments?", which I initiated, to [[Talk:Mathematical beauty]]. [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 16:32, May 27, 2005 (UTC)
 
By the way, I also wanted to say that I quite value this project's active and vibrant discussions. The more we do it, the better we should get at it. A project needs a certain critical mass of activity to remain viable. This is a great project and it has a great group of participants, and if it takes an occasional "off-topic" discussion to keep it active or to assure ourselves that some of us are still alive and kicking, then it is worth it ;-) (Perhaps, from time to time, we should take attendance!) However, as this page's only archivist, Charles may have mixed feelings about the ''volume'' of discussion ;-) &mdash; so I pledge to help out with that task in the future and also in accord with my earlier comment, I volunteer to go through all of this page's archives, and copy any page-specific discussions to the appropriate talk page. [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 18:02, May 27, 2005 (UTC)
 
I think we should create a section on this page to note ''important'' discussions: obviously if big edits to [[mathematics]], [[manifold]] and so on are being mooted, it is of general interest. [[User:Charles Matthews|Charles Matthews]] 18:07, 27 May 2005 (UTC)
 
:Should there be a distinct math-related VfD page? Are VfD's common in math? At any rate, if any come up, I think announces should be posted at least here. [[User:Linas|linas]] 20:34, 27 May 2005 (UTC)
 
::They are not so common. There have been a few 'crank' pages in the past. Mostly poor material can just be dealt with by redirecting. Also, it is not always clear when topics are technically wrong: who knows enough to be an expert in all branches of mathematics? So my policy is not to rush to VfD. Of course sometimes we need it. [[User:Charles Matthews|Charles Matthews]] 14:08, 30 May 2005 (UTC)
 
== Two math pages set for deletion ==
 
[[Algebra I]] has been submitted for deletion, and I did the same thing today for [[Algebra II]]. They are about courses with the same name. I think does not look encyclopedic. But either way, here are the links:
 
*[[Wikipedia:Votes for deletion/Algebra I]]
*[[Wikipedia:Votes for deletion/Algebra II]]
[[User:Oleg Alexandrov|Oleg Alexandrov]] 00:10, 30 May 2005 (UTC)
 
:Might I direct your attention to [[Long-tail traffic]] as well. It has a VfD banner on it, but isn't on the list. At least one of the pictures seems to be scanned and the rest of the article gives that impression too. Reference [1] are lecture notes on ELEN5007 so this is probalby someone who put his paper on Wikipedia. --[[User:R.Koot|R.Koot]] 00:27, 30 May 2005 (UTC)
 
::This article is part of a collection of articles, which are all part of a class project. They are being discussed here: [[Wikipedia:Deletion_policy/Teletraffic_Engineering]]. [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 01:45, May 30, 2005 (UTC)
 
:::Thanks, I missed that. Very strange though... --[[User:R.Koot|R.Koot]] 11:40, 30 May 2005 (UTC)
 
== Vfd for space mixing theory ==
 
The page on [[space mixing theory]] seems to be unpublished work. I called for a [[Wikipedia:Votes_for_deletion/Space_mixing_theory|vote for deletion]]. I hope this is the right forum for announcing that. If not, I apologize, and would really appreciate it if someone could point me to the right place to discuss deletion of unreal science. [[User:Bambaiah|Bambaiah]] 10:39, May 30, 2005 (UTC)
 
== question about formatting of standard symbols ==
 
I am wondering whether there is any policy in this project about formatting for standard symbols like '''Q''' (the set of [[rational numbers]]). I sometimes see '''Q''', sometimes ''Q'', sometimes just Q, and on a few occasions the blackboard-bold version wrapped in <nowiki><math></nowiki> tags, i.e. <math>\mathbb{Q}</math>. It's particularly jarring when these different versions appear in the same article (or sentence). I realise that if a single article uses both inline and <nowiki><math></nowiki> formats, then some inconsistency in appearance is unavoidable. Also I realise there's some conflict here between freedom and rules, with the concomitant effects on productivity. Still, I'm wondering if at least there is some consensus on the 'ideal' notation. [[User:Dmharvey|Dmharvey]] 18:47, 31 May 2005 (UTC)
 
: I think one needs to use either '''Q''' or <math>\mathbb{Q}</math>. The first is preferable in inline formulas, as the second yields an image, which is undesirable, see [[Wikipedia:How to write a Wikipedia article on Mathematics]]. The second one is more preferrable in big formulas I think. Now, to use ''Q'' or plain Q for the rationals is not correct; it needs to be changed to one of the two if encountered.
 
: Now, all this is my own opinion, but this seems to be the unwritten tradition. [[User:Oleg Alexandrov|Oleg Alexandrov]] 01:46, 1 Jun 2005 (UTC)
 
:: I like to use both '''Q''' and <math>\mathbf{Q}\;</math>. The blackboard bold should be reserved just for that: the blackboard. --[[User:MarSch|MarSch]] 16:22, 1 Jun 2005 (UTC)
 
::: I think I agree that <math>\mathbf{Q}\;</math> is a definite improvement on <math>\mathbb{Q}\;</math>. Certainly in my regular work with LaTeX I stick to <math>\mathbf{Q}\;</math>. Although usually it doesn't turn out so huge. And it could be argued that, in certain important respects, WP has a lot in common with the humble blackboard :-) If other people agree, perhaps the math(s) project needs somewhere for this kind of notational suggestion to belong. Does it belong under [[Wikipedia:WikiProject Mathematics/Conventions]]? [[User:Dmharvey|Dmharvey]] 17:38, 1 Jun 2005 (UTC)
 
I always prefer using blackboard bold even in typeset work, as bold is used for too many things. This will always be a matter of opinion though; there will always be those who disagree. If more browsers supported it I would use &#x211A; in all my articles. For the time being I stick to '''Q''' and <math>\mathbb Q</math>. -- [[User:Fropuff|Fropuff]] 18:25, 2005 Jun 1 (UTC)
 
: I'd stick with blackboard bold, not only because I find it more pleasing aesthetically, be because it's a defacto standard. Maybe Wikipedia's policy of no original research should be extended to no original typesetting? --[[User:R.Koot|R.Koot]] 22:07, 1 Jun 2005 (UTC)
 
==Featured list nomination==
 
Please see [[Wikipedia:Featured_list_candidates#Nominations]].
 
I have nominated [[list of lists of mathematical topics]] ('''not to be confused with''' [[list of mathematical topics]]) to be a featured list. Please go to that nomination page to vote for or against it. [[User:Michael Hardy|Michael Hardy]] 01:22, 1 Jun 2005 (UTC)
 
:'''PLEASE VOTE ON THIS at [[Wikipedia:Featured_list_candidates#Nominations]].''' Some of the opinions expressed there are from persons who are naive in more ways than just mathematically. If you doubt this, see the accompanying discussion page at [[Wikipedia_talk:Featured_list_candidates#Nominations]]. [[User:Michael Hardy|Michael Hardy]] 00:59, 2 Jun 2005 (UTC)
 
:<math>\uparrow</math>'''VOTE!'''<math>\uparrow</math>
 
== why are the latex images so big anyway? ==
 
Again: why are the latex images so big anyway? I generally have my browser text set pretty large, yet the latexs still often look rather silly. Is there some kind of preference setting to adjust the rendering size? If not, is it technically possibly for somebody to do that? [[User:Dmharvey|Dmharvey]] 17:45, 1 Jun 2005 (UTC)
 
: In my work browser images look same size as text, while at home the images look much bigger. I don't know the reason. It might have to do with the screen resolution besides font sizes. So we again arrive at the time-established truth that one should not use latex images mixed with text, only on a separate line. That's why, back to the question of <math>\mathbb Q</math> versus '''Q''', one should use the latter when inline. [[User:Oleg Alexandrov|Oleg Alexandrov]] 23:13, 1 Jun 2005 (UTC)
 
:If only the [[MathML]] mode worked... --[[User:CesarB|cesarb]] 23:32, 1 Jun 2005 (UTC)
 
OK, let's try something:
 
:<math>\int_{-\infty}^0 1\,dx</math>
 
Consider the integral <math>\int_{-\infty}^0 1\,dx</math> which is blah blah blah .....
 
(1) Look at this here equation: <math>AX^2+B=0.\,</math> So there!
 
(2) Look at this here equation: ''AX''<sup>2</sup>&nbsp;+&nbsp;''B''&nbsp;=&nbsp;0. So there!
 
(3) This renders all right: <math>AX^2+B=0.</math> So ereht!
 
: '''No, it does not.''' It looks exactly identical to (1) above; the characters are comically gigantic. [[User:Michael Hardy|Michael Hardy]] 01:44, 2 Jun 2005 (UTC)
:: FYI For me, (1),(2) and (3) are exactly the same size, and (2) and (3) visually look identical. I have a 1600x1280 monitor so use large fonts.[[User:Linas|linas]] 03:04, 3 Jun 2005 (UTC)
 
I generally use the format (2) rather than (1) for two reasons: the math notation in (1) is ridiculously too big, and it gets mis-aligned. Possibly this could be overcome by using a different browser or altering my preferences. I have long said that [[TeX]] looks good on Wikipedia when it is "displayed", but often looks terrible when embedded in lines of text. Note also: 1+2 does not look as good as 1&nbsp;+&nbsp;2; ''n''&nbsp;+&nbsp;2 is better than n&nbsp;+&nbsp;2; and also better than ''n&nbsp;+&nbsp;2''. [[User:Michael Hardy|Michael Hardy]] 00:57, 2 Jun 2005 (UTC)
 
: Number (3) render pretty good here (but this might look horrible if you have a larger/smaller font). This is actually quite an interesting question. What if rendering of math becomes unbroken in a future version of MediaWiki? You'd rather have the stuff between <nowiki><math></math></nowiki> than marked up using html. --[[User:R.Koot|R.Koot]] 01:21, 2 Jun 2005 (UTC)
 
:: See the link ''Archive4(TeX)'' at the very top of this page, discussing this in as much detail as one can get. [[User:Oleg Alexandrov|Oleg Alexandrov]] 01:32, 2 Jun 2005 (UTC)
 
(3) looks '''exactly identical''' to (1) from my browser. [[User:Michael Hardy|Michael Hardy]] 01:43, 2 Jun 2005 (UTC)
 
: Hmmm.. It looks SO good over here (Firefox/SuSE 9) that I thought it was a PNG, but it isn't it's HTML
 
<nowiki><span class="texhtml"><i>A</i><i>X</i><sup>2</sup> + <i>B</i> = 0.</span></nowiki>
 
: The problem must be with the class="texhtml"? --[[User:R.Koot|R.Koot]] 01:56, 2 Jun 2005 (UTC)
 
Interestingly, the font in the TeX output is smaller on Wikicities. See example at [http://wikicities.com/wiki/User:Fredrik/Tex]. Would this look better on Wikipedia? One problem is that it may be harder to read. - [[User:Fredrik|Fredrik]] | [[User talk:Fredrik|talk]] 01:49, 2 Jun 2005 (UTC)
 
 
: Looks better inline but equations are MUCH harder too read. However is you could manually select the size (with two separate tage like <nowiki><math></nowiki> and <nowiki><equation></nowiki> for example it might work? --[[User:R.Koot|R.Koot]] 02:08, 2 Jun 2005 (UTC)
 
::I was thinking the same thing. Also, clicking the image could show a very high resolution version in addition to the wrapped TeX code. [[User:Fredrik|Fredrik]] | [[User talk:Fredrik|talk]] 02:11, 2 Jun 2005 (UTC)
 
For me, the LaTeX images are slightly ''smaller'' than the surrounding text. But then, I'm using a 12pt font at 132DPI. Since most Windows boxes are at 96DPI (since a lot of Windows programs look weird if you try to change it), I can see how it can look huge. --[[User:CesarB|cesarb]] 02:23, 2 Jun 2005 (UTC)
 
You will never get text in images and text not in images to mesh well for everyone. Saying it should be done one way or another because "it looks better" is just nonsense. It looks better to ''you'' on ''your screen'', maybe; that says nothing about how it looks to everyone else. (BTW, I must interject at this point that the font used in the TeX images changed several months ago and I really preferred the old font!) The best solution, perhaps, would be to add a preference setting to scale LaTeX images to a (user-) specified ''relative size'' &mdash; for example, "80%" or "110%", etc. &mdash; so that each user could, if they cared, have the images scaled to match the size of the regular text in their own browser (I guess this would also have to include a ''vertical-shift'' option, as well, if that's possible to implement). The only problems I can see with this plan would be: (1) server load, since every (TeX) image would have to be tagged with ''height'' and ''width'' calculated using the user's scaling preference; and (2) readability since some browsers probably have terrible algorithms for scaling images. - [[User:Dcljr|dcljr]] <small>([[User talk:Dcljr|talk]])</small> 11:11, 2 Jun 2005 (UTC)
 
:For me, (2) and (3) are identical. Only (1) looks bad. I think this is because I have selected "HTML if very simple or else PNG" in my prefs - it is not determined by my choice of browser. [[User:Lupin|L]][[User talk:Lupin|upin]] 12:32, 2 Jun 2005 (UTC)
 
 
Thanks everyone for your comments and examples. I think I now understand a little better why this is such a complicated issue.
 
I have a question: how good is MathML at rendering ''inline'' equations (as opposed to displayed equations)? Does it handle things as well as LaTeX, like line wrapping?
 
[[User:Dmharvey|Dmharvey]] [[Image:User_dmharvey_sig.png]] [[User talk:Dmharvey|Talk]] 12:56, 2 Jun 2005 (UTC)
 
== [[tangent bundle]] and [[vector field]] ==
 
I would really like to know your opinion on what these articles should be about. Since the tangent bundle is basically the collection of vector fields, it would be useful to make it clear what info should go where. --[[User:MarSch|MarSch]] 14:26, 2 Jun 2005 (UTC)
 
: These articles certainly need a lot of work. For example, the vector field article should also have a more "introduction to several variables"-level version, with explicit formulae in terms of partial derivatives etc. There should be a version of tangent bundles in terms of submanifolds of euclidean space, as well as the more abstract version there currently. [[User:Dmharvey|Dmharvey]] [[Image:User_dmharvey_sig.png]] [[User talk:Dmharvey|Talk]] 14:52, 2 Jun 2005 (UTC)
 
::[[Tangent bundle]] should cover the holomorphic version, the version in algebraic geometry, too. There are also replacements ([[microbundle]]s) to consider; and mappings on tangent bundles (''not'' on vector fields - see the notorious [[push forward]] talk page discussion). Vector fields in plane regions is already an interesting area. So there seem to be reasons to have two pages. [[User:Charles Matthews|Charles Matthews]] 15:48, 2 Jun 2005 (UTC)
 
==[[Wikipedia:Mathematics Collaboration of the Week]]==
 
So what is happening there? The tag has been taken down from [[tensor]], which was current. I don't see another nomination has been made. [[User:Charles Matthews|Charles Matthews]] 16:00, 2 Jun 2005 (UTC)
 
== Copyright ==
 
I'm sorry if this is the wrong place, but I wonder if there's copyright on proofs? Can I copy some proof from my lecture notes (in my own words)? [[User:Hugo|Hugo]] 08:30, 2 Jun 2005 (UTC) (Moved from [[Wikipedia:WikiProject Mathematics/Proofs]] by [[User:Oleg Alexandrov|Oleg Alexandrov]])
:Try asking at [[Wikipedia:Village_pump]] and then summarize the answers you get; I'd like to know myself. [[User:Linas|linas]] 01:07, 3 Jun 2005 (UTC)
 
: (I'm not a lawyer) You will have to make a distinction between the structure of the proof and the text of the proof itself. The stucture is not copyrightable only patentable, and that is not possible because you can't patent mathematics. Whether the/a text is eligible for copyright depends on wheter or not is considered ''original''. A proof consisting mainly of formulas, "let ... denote ...", and "from which we conclude", could hardly be considered orginal (and would be very hard to prove in court). However this ''might'' change if the proof contains original/creative explanations of the proof. Note that even rewiting the text in your own words is considered plagiarism (this might again be hard to prove in court but you or other Wikipedians might (should) have some moral problems with this). The safest would likely be to ask the author of the lecture notes if you could copy part of it to Wikipedia. --[[User:R.Koot|R.Koot]] 19:11, 3 Jun 2005 (UTC)
 
:: I would like to mention that if some theorem is missing a proof, that might be on purpose. Some of us (if not the majority) think that proofs should be a part of the article only if they ellucidate the article, and if they are not too hard. So, proofs for their own sake are not very encouraged. Discussion on this is under way at [[Wikipedia:WikiProject Mathematics/Proofs]]. [[User:Oleg Alexandrov|Oleg Alexandrov]] 04:18, 4 Jun 2005 (UTC)
 
== [[Wikipedia:How to write a Wikipedia article on Mathematics]] ==
 
There are some interesting discussions going on at [[Wikipedia talk:How to write a Wikipedia article on Mathematics]]. I believe as many of us should be involved in that as possible, as that article is the main document defining how math is to be written. So, comments welcome. [[User:Oleg Alexandrov|Oleg Alexandrov]] 22:25, 2 Jun 2005 (UTC)
 
== Conjecture for deletion ==
 
According to newly created [[polygon sum conjecture]] article,
 
:The '''Polygon sum conjecture''' is a [[geometry|geometric]] [[conjecture]] that states that the sum of the [[interior angle]]s of a [[polygon]] are equal to 180(N-2), where N is equal to the number of sides that the polygon has.
 
I almost put it in [[:Category:Conjectures]], when I realized conjectures in elementary geometry do not happen that often... :)
 
Anyway, see [[Wikipedia:Votes for deletion/Polygon sum conjecture]]. [[User:Oleg Alexandrov|Oleg Alexandrov]] 01:21, 3 Jun 2005 (UTC)
 
: Also see [[Wikipedia:Votes for deletion/Roman letters used in mathematics]] [[User:Oleg Alexandrov|Oleg Alexandrov]] 01:28, 3 Jun 2005 (UTC)
 
== complex multiplication and e^(pi sqrt(163)) ==
 
Dear all, I have added the fascinating fact concerning e^(pi sqrt(163)) to the article on [[complex multiplication]]. It doesn't really fit very well at the moment, but hopefully one day that will change. The only reason I mention this here is that I'm not sure if this formula appears anywhere else in WP, perhaps it is already stated elsewhere. Thanks peoples. [[User:Dmharvey|Dmharvey]] [[Image:User_dmharvey_sig.png]] [[User talk:Dmharvey|Talk]] 01:32, 3 Jun 2005 (UTC)
 
== long-term of future of mathematics in wikipedia ==
(copied from the talk page of Charles. This is an interesting discussion, and I wonder what others would like to say [[User:Oleg Alexandrov|Oleg Alexandrov]] 04:37, 3 Jun 2005 (UTC))
 
I am wondering what your opinion is of the possible long-term future of maths in wikipedia? In particular, do you think that wikipedia (or some other wiki-based medium) has the capacity to (eventually) become an authoritative source on well-understood material? I guess 'authoritative' and 'well-understood' are somewhat rubbery terms. For an arbitrary starting point, perhaps 'well-understood' might mean "material that has made it into book form by 2005", and 'authoritative' might mean that a professional mathematician might consider making WP their first port of call for learning material they are unfamiliar with. I appreciate your insight, you seem to have had a lot of experience on WP. [[User:Dmharvey|Dmharvey]] 17:21, 30 May 2005 (UTC)
 
:To try to sum up my take on this - mathematics is short of good survey articles, and not really short of textbooks, except for things that are quite recent. It is quite hard to get a good historical perspective, from the technical literature alone; and much harder to understand what is going on in the Russian or Japanese perspectives, than in Paris or Princeton. We ought to be trying to give a good broad coverage, by survey article standards, with reasonable references. We ought to be giving the sort of background that makes the current preprints more accessible (so, basic definitions to answer 'what the hell is X?' questions). We should reach for a good overview of the whole tradition, and what is going on globally. I don't think it is so sensible to aim to compete directly with the conference literature, say. WP ought to complement academia, and make the effort to explain 'how it all fits together' and 'why any of this matters' - which academics generally don't find the time for. [[User:Charles Matthews|Charles Matthews]] 21:01, 30 May 2005 (UTC)
 
::Interesting. (BTW thanks for your time in answering these questions; you must be a pretty busy guy.) I certainly agree with your last sentence, i.e. that WP should help explain 'how it all fits together', I'm very keen on that. I'm also very keen on giving historical perspective. On the other hand, it seems that WP provides an ideal vehicle for a piece of writing to start off as a survey article, but then slowly morph into something providing textbook level detail, while nevertheless remaining a survey article to a reader not concerned with details or proofs. (They just don't have to follow all the links.) Mathematics seems to be a subject area especially suited to this, since there tends to be less disagreement about correctness than in most other academic discplines.
::I'm sure this meta-wiki discussion has been had by plenty of people already :-). Perhaps I should spend some time reading what everyone else has had to say. As I am a wiki newbie, I am probably suffering from some kind of wiki-thrill, believing that WP can solve all of humanity's problems. It does seem to me to be a genuinely new form of communication/publishing media, which as you can tell I find very exciting.
 
WP can do some good, no question. Trying to audit quite ''how much'' progress is interesting, taxing and sometimes chastening. The first five years, for mathematics, is going to look like 10000 pages with much 'core' material. Chronologically the solid coverage can get us into the 1950s, mostly; but not past 1960. I would project, that in 2010 it would look more like 1970 rather than 1960; and even that is ambitious and would require much more expertise in the 'rarer' topics (algebraic geometry and topology, for example) than we currently command. I'm quite upbeat, but it is still very easy to find the gaps. [[User:Charles Matthews|Charles Matthews]] 10:13, 31 May 2005 (UTC)
 
:::Hi Charles, Dmharvey. I don't mean to butt in on this conversation, but I've enjoyed reading both of your thoughts in this and the above section (the "multiple audience" issue particularly), and I would expect others involved in [[Wikipedia:WikiProject Mathematics]] would find these discussions interesting and beneficial as well, and perhaps even want to join in ;-) However if you prefer to keep this a private discussion, I respect that. [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 15:13, May 31, 2005 (UTC)
 
As far as I'm concerned, I'm not saying anything private - go ahead, Paul. [[User:Charles Matthews|Charles Matthews]] 15:27, 31 May 2005 (UTC)
 
:Charles, yes, I didn't really think that what you were saying was meant to be private (I was just trying to allow for the possibility that you or Dmharvey might prefer to have a two-person conversation). And anyway there isn't anything I really want to add to the discussion &mdash; yet. I just think that you guys have been having a couple of interesting discussions that others would be interested in also. So I was trying to encourage you to consider discussing these ideas on [[Wikipedia talk:WikiProject Mathematics]]. (By the way thanks for your vote in support of my admin nomination ;- ) [[User:Paul August|Paul August ]] [[User_talk:Paul August|&#9742;]] 16:45, May 31, 2005 (UTC)
 
::As far as I'm concerned, nothing on WP is private :-) (Unless of course you're using [[PGP]], but that, as they say, is just not cricket.) I'm quite happy for anybody to move the above text to an appropriate venue, or to do whatever is appropriate. [[User:Dmharvey|Dmharvey]] 18:22, 31 May 2005 (UTC)
 
Wow, yes, agree with both Charles and Dmharvey. Realistically speaking, WP has huge gaps in just about any topic, and will need to grow at least 50-fold to fill these gaps in. It will take many many years for this to happen. But I also agree with Dmharvey in that it seeems inevitable that WP will become the authoritative reference in a decade if not sooner; its already beyond mathworld.com in many areas.
 
But please note that we will have to tackle many serious structural issues first; and if these are not solved, then it will make growth harder. For example: Charles "survey" articles are already outnumbered by more "mundane" articles that mostly list facts. (I myself generate "mundane" articles because I'm not knowledgable enough to write surveys in any but a few fields, and those fields bore me...). I would like to see some system that somehow makes the survey articles more visible, more prominent. They tend to be lost in the mire.
 
I don't know how to fix this. Maybe have different classes of articles? This is kind of like the "proofs" discussion, but in reverse. With proofs, the problem is how to hide this third-tier material so that it doesn't impede article flow. With "survey articles", the problem is how to highlight them above and beyond the rest of the bulk.
 
Note also the existing tension between "simple" and "advanced" treatments of the same material is going to get worse. We'll need to devise some mechanism for dealing with this, as I wonder if the current ad-hoc approach can last. I've had Oleg delete some of my edits because they were too advanced, I've had Fropuff delete some of my edits because they were too trivial. I'm not complaining, I'm rather trying to make note that this is a potential problem area that will recur in WP and is worthy of attention. [[User:Linas|linas]] 00:19, 4 Jun 2005 (UTC)
 
: Yes, the greatest problem I'm having is where to put things. I really think we need to structure all our articles hierarchically and make it clear what should go where. --[[User:MarSch|MarSch]] 10:50, 4 Jun 2005 (UTC)
 
In the context of Wikipedia, I think I have come to the opinion that the issues being discussed do not really raise any problems.
 
Suppose that we have an article X that discusses topic Y. There are lots of people who might end up looking at page X. A priori, they might be arriving there with a huge range of different levels of mathematical experiences. However, I claim that the gap between
*The lowest level of experience a person could have before they conceivably could get anything on that topic; and
*The highest level of experience a person could have and still be interested in that topic,
is actually not that large. It may ''seem'' large, but there's some kind of "logarithmic scale" operating here. I think it is possible to have a well-written introduction that can simultaneously branch off to cover many different levels of pre-experience. Obviously, not everyone will be able to write that introduction, since some people simply don't have the background to see it all in context. But, almost by definition, someone will have that context, and will (eventually) supply it. [[User:Dmharvey|Dmharvey]] [[Image:User_dmharvey_sig.png]] [[User talk:Dmharvey|Talk]] 11:34, 4 Jun 2005 (UTC)
 
:Mostly agree, just please note that there are some exceptional pages: [[Torus]] and [[Laplacian operator]] are examples. Torus can run the range of middle-school "volume of a torus" to grad-school "Teichmuller space". Laplacian runs from engineering school to harmonic analysis. Maybe these can be treated on an ad hoc basis. Somewhere I suggested an "educational trampoline" for things like "torus", since it can be a doorway to higher math for younger students. [[User:Linas|linas]] 17:03, 4 Jun 2005 (UTC)
 
I would also like to mention something else about "authoritativeness" of WP. It seems to be widely acknowledged that there are issues with reliability in WP, and that this seems an insurmountable barrier to WP becoming useful to the academic community (in the present discussion, the academic mathematical community). I agree with the first half of the sentence but not the second half. Something can be useful even if it's inaccurate. And it seems that WP has a strong tendency to become more accurate over time, at least on topics that are not too sparsely covered. In the real world, no one source is enough anyway. When I want to learn about a maths topic I don't know much about, I don't just get a book out of the library. If I really want to learn something, I get at least three books or journal articles, and talk to my colleagues, asking them what their point of view is on the whole subject area, and where they think is a good place to read about it. [[User:Dmharvey|Dmharvey]] [[Image:User_dmharvey_sig.png]] [[User talk:Dmharvey|Talk]] 11:34, 4 Jun 2005 (UTC)
 
:I'm wondering if some semi-formal peer-review/voting/audit-trail type system might help with authoritativeness. I'd like to mark up a page or a portion of a page to somehow state "yea verily I have reviewed this and attest to its accuracy". Kind of like [[wear marks]]. Have no idea how to implement this. [[User:Linas|linas]] 17:03, 4 Jun 2005 (UTC)
 
On the other hand, on the more general topic of "long-term future of mathematics in WP", I have some other concerns. My first concern regards typesetting. I summarise by saying that in the present situation, I don't think WP has sufficiently sophisticated typesetting for serious mathematical work. This may become a long term problem, because one important group of people we would like to attract to write articles, serious mathematicians, will be put off by something that ''visually'' looks amateurish. For those who don't believe me, I suggest trying to write a complete paper in LaTeX. It's incredible how LaTeX is able to make even completely incoherent babble look like the most brilliant piece of mathematics written since the 16th century. This might improve if browsers improve, I'm not sure.
 
A second concern is that there are other interesting things that a WP-like system could conceivably do, but which the current software does not support. For example, it would be lovely for WP to support a parallel development of some kind of formal proof system; i.e. symbolic manipulation software where people could enter formal proofs which are checked automatically for correctness. I don't believe such a system exists yet, except in fairly primitive forms. I think there have been a fair number of attempts, but I haven't heard of any that have scaled up well. I think in time, the collaborative nature of something like WP will solve the scaling-up problem. Then, if you believe the axioms that the system is founded on, and you believe that WP is doing its proof checking correctly, then you can be happy that the theorem you are looking at is OK. (Please don't take this paragraph too seriously; there are ENORMOUS problems, both theoretical and practical, with automated proof systems, and I just wanted to throw it up as a random thought.)
 
OK I've really chewed up enough bandwidth now. [[User:Dmharvey|Dmharvey]] [[Image:User_dmharvey_sig.png]] [[User talk:Dmharvey|Talk]] 11:34, 4 Jun 2005 (UTC)
 
== Wallpaper groups ==
 
Dear peoples, I have spent quite a number of hours the last few days working on [[Wallpaper group]]s. It looks almost completely different now, and I hope it is an improvement.
 
The only thing I plan to do with it for the next few days is finish labelling the pretty pictures. Apart from that it is in all of your capable hands.
 
Then I need to take a break from wikipedia, so I can do some [[Special:Randompage|other things]].
 
I will return in a few weeks.
 
[[User:Dmharvey|Dmharvey]] [[Image:User_dmharvey_sig.png]] [[User talk:Dmharvey|Talk]] 17:09, 4 Jun 2005 (UTC)