Wikipedia talk:WikiProject Mathematics

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Auxiliary normed space

The entire initial section of the new article with this title is as follows:

Two methods of constructing normed spaces were systematically employed by Alexander Grothendieck to define nuclear operators and nuclear spaces.

Could someone who know something about the topic and about Wikipedia usages change this to something appropriate? Michael Hardy (talk) 19:48, 28 April 2020 (UTC)

Hi! I added some introductory sentences giving a quick overview of the two methods of constructing auxiliary normed spaces. Best wishes.Mgkrupa (talk) 00:07, 4 May 2020 (UTC)

Disambiguation help

There was a recent move that reshuffled the naming scheme of articles on the topic of range, leading to a large number of links from article-space to the disambiguation page range (mathematics). Most of these have been resolved, but maybe someone else would like to take a look at the few that remain; they are listed here. Thanks, JBL (talk) 21:56, 29 April 2020 (UTC)

Edit war at Unknown

There's a disagreement that could use some more eyes at Unknown (dab page)). See also Talk:Unknown#Ordering of sections. D.Lazard (talk) 14:56, 3 May 2020 (UTC)

System of differential equations

As we can see, "system of differential equations" is a red link. Is this topic really missing or should it be redirected? (In contrast, system of polynomial equations does exist, unsurprisingly I suppose). —- Taku (talk) 08:02, 5 May 2020 (UTC)

The topic seems distributed. We have ordinary_differential_equation#System_of_ODEs, matrix differential equation and partial_differential_equation#Systems_of_first-order_equations_and_characteristic_surfaces. Perhaps a disambiguation page or broad concept article/stub would be appropriate? --{{u|Mark viking}} {Talk} 10:59, 5 May 2020 (UTC)

System of equations is already such a stub/broad-concept article. system of differential equations could redirect there. D.Lazard (talk) 11:49, 5 May 2020 (UTC)

A redirect seems like a subpar solution; the readers interested in this topic will surely be unhappy with system of equations (as there are some many specific aspects in the differential case). I also noticed differential system redirects, which seems also problematic. I have therefore started System of differential equations. -- Taku (talk) 23:54, 5 May 2020 (UTC)

A related question: is the article "Matrix differential equation" redundant? I mean, should it be merged with ordinary differential equation? -- Taku (talk) 00:18, 6 May 2020 (UTC)

As one might expect, a matrix differential equation is just a way to represent a system of differential equations. It might be worth merging it to system of differential equations. — MarkH₂₁^talk 15:21, 6 May 2020 (UTC)

I get what you mean but, despite the article title, the bulk of the article is simply about linear ODE; especially how to solve it using linear algebra (which is important and should be discussed in the ODE article, in my opinion). It ignores PDE entirely; in fact this article seems an instance where (matrix) "differential equation" means linear system of ODEs, similar to the case when a undergraduate course named "introduction to diff equ" refers to linear system of ODE. -- Taku (talk) 04:01, 8 May 2020 (UTC)

Yeah, I think the content can be merged to both System of differential equations and Ordinary differential equation#System of ODEs since the existing content is pertinent in both places, but the title should redirect to System of differential equations in the end since the title refers to systems of PDEs as well. — MarkH₂₁^talk 04:06, 8 May 2020 (UTC)

Hyperoperations, User:Ferctus

Ferctus (talk · contribs · deleted contribs · logs · filter log · block user · block log) They've just recreated some pointless redirects (octation, heptation) that have recently been deleted, are adding pointless cruft to articles like tetration and pentation, etc. Some more eyes would be welcome. --JBL (talk) 21:19, 7 May 2020 (UTC)

I tried to prune the cruft back and was reverted minutes later without explanation [1][2]. XOR'easter (talk) 23:00, 7 May 2020 (UTC)

Seems to have sorted itself out. --JBL (talk) 00:59, 8 May 2020 (UTC)

Help at Carrying capacity (K)

Not really my field (population dynamics), but what was written earlier was total bunk. I deleted almost all the polemics about human overpopulation, and am trying to rewrite the article in the way I was taught this stuff decades ago. Which involved a lot of math...

I'm wondering if the main two equations (or at least one) I copied into the text could be rewritten so that K= yaddayadda. Is that even kosher (with regards to sourcing)?

After the introductory maths, I'd then like an example with a graph, the same I had back in the day, population of bacteria in a petridish, where the pop. reaches K in a sigmoid curve and then falls in the same curve (what's that called, bell-shaped?).

Could someone also vet what I've done so far? Outside of the standard application, environmentalists claim K is not actually a constant, but a variable which is determined by N. I spent all night thinking how that could work mathematically ... is this just patent nonsense? Cheers, Leo Breman (talk) 09:25, 9 May 2020 (UTC)

About the last point: In mathematics the distinction between variable and constant is essentially context dependent. As far as I understand what you have written in the article, K is a "model constant" or empirical constant, that is a quantity that cannot be measured, but is chosen for a best fit between a model and the reality. That is in this sense that K depends on N and its variation.

About "K= yaddayadda": The definition of K can be viewed as a generalized implicit equation. In general, an implicit equation cannot be explicitly solved. I suspect that it is the case here. In any case, if it is not solved in the literature, providing a solution would be WP:OR, and could not be given here. D.Lazard (talk) 10:37, 9 May 2020 (UTC)

Thanks, that actually makes a lot of sense. You're saying K is approximated from the change in N, not actually measured. But that is not exactly what was being said earlier, which was that K decreases as a function of when N nears K... but it turned out that the reference used did not say that at all (didn't even mention the subject matter), so I deleted all that. About "K= yaddayadda": Okay, too bad. Now you mention it, with the bacteria stuff we derived K and r from the experiment. Hey, useful, thanks, Leo Breman (talk) 11:34, 9 May 2020 (UTC)

Redirects for discussion

There are three mathematics-related redirects for discussion: ⋾, V* and 4-sphere. XOR'easter (talk) 18:11, 9 May 2020 (UTC)

Bottema's theorem: article draft

Dear WikiProject Mathematics, I just wrote an article draft for Bottema's theorem: Bottema's theorem. Could please have a look at it and inform me if it is acceptable? Any improvement is of course very much appreciated. A last question: can I join the WikiProject Mathematics? Is there an official way to join the project? Best Regards; Count Von Aubel (talk) 18:32, 9 May 2020 (UTC)

@Count Von Aubel: There’s no formal process for joining the WikiProject! Just chime in whenever you want :)

You can also add the user box {{User WikiProject Mathematics}} to your user page if you want. — MarkH₂₁^talk 18:38, 9 May 2020 (UTC)

You can also add yourself to Wikipedia:WikiProject Mathematics/Participants. —David Eppstein (talk) 18:43, 9 May 2020 (UTC)

Many Thanks! Count Von Aubel (talk) 18:52, 9 May 2020 (UTC)

Associate Legendre Functions with meaningful learning expansions

I did many mathematical equations and formulas they are still not perfect as I use them much [move to various places]but I can retype them [ i may have them in eletronic version as well]and improve [especially meaningul expansions of particular letter. Preferably they would be in meaningful pair of [noun+verb] which would be easier to remember and implement. Here2,3 is associated legendre function and here meaningful expansions. 2 Fermiparadox97 (talk) 15:50, 14 May 2020 (UTC)