Knowledge talk:WikiProject Mathematics/Archive/2024/Mar

1689:

previous classes, as they are nested with stricter conditions listed later. But the manifolds of particular interest for that section are the strongly causal ones (the immediately preceding condition). My understanding based on the article's text is that "stably causal" means a strongly causal manifold which remains strongly causal under any possible perturbation of a chosen (arbitrarily small) magnitude. Or another way of saying this: if a manifold is "stably causal", then there exists some specific size of perturbation for which every smaller perturbation of the manifold preserves the strong causality property. From what I can tell the perturbations of other kinds of causality-condition-satisfying manifolds are not at issue (beyond the initial mention, for context, that for each of the earlier conditions there exists some manifold satisfying it which can be perturbed into not satisfying it by an arbitrarily small perturbation). –

3772: 3777: 1999: 40: 3330: 3335: 1654:, examples involving negation — including "not", "fails", "never", etc. — can be argued about endlessly. It seems to me that math textbook authors solve this problem by stating each definition and theorem as clearly as they can, relying on the proof to clarify the exact meaning of a theorem in a pinch, and tolerating looser talk in discussions between theorems. 3679:

arsed to do that either. The Debian stable with the fix was released 3 years ago. Nothing. There was even another Debian stable release after that, last year. Nope. They are still on Buster, that was released in 2019. Fun fact, that will be end-of-lifed in 3 months, so we will have one the largest websites in the world running on unsupported software.

3856: 2952: 2267: 1887: 3418:

example this might be tikz source, POV-ray source, raw PostScript code, a Blender file, a layered Photoshop document, an SVG with Inkscape-specific editor metadata, or a link to a Desmos or Geogebra plot. What tools other editors can work with or find familiar is going to vary depending on their experience and available software. –

4865:

The big risk with "broad-concept articles" is that we might be abstracting out a "broad concept" on our own, that sources have not isolated as a particular object of study. We are not supposed to do that. Can you find sources that bring together all these meanings of "piecewise" in a single place?

3184:

Looks fine to me in it's current form (but I only skimmed it). The 4-d version sometimes shows in general relativity contexts, and the n-dimensional version sometimes shows in riemannian geometry and differential geometry textbooks where the author wants to perform some detailed, explicit calculation

2577:

No, that's the standard interpretation of the torsion tensor geometrically. However I reject that it has much to do with the english word "torsion". The section of the page I was referring to has since been removed. My comments were just general that care should be taken with this subject to get high

4390:

I'd agree with assessment above that Mathworld is a mediocre but usable source and one needs to apply some common sense when using it. But imho it isn't really worse than many other (properly) published mediocre math sources out there such as various small math dictionaries and lexicons. Much of the

4196:

I wouldn't rush out to automatically remove Mathworld from all articles; that would be controversial and probably harmful. But if I'm otherwise looking at an article and its sources, I'll click the mathworld link and review whether it really seems helpful to readers to include, and when it doesn't I

4027:

I agree with the above two comments. It is not so unreliable that it must be immediately removed and replaced by a tag, as some sources are, but it is so frequently error-riddled that it is almost always better to use a different source. For a Good Article review, in particular, I think that better

3430:

Anyway, sorry, I'm not trying to give offense. My point is not to call out this particular image, which I'm sure is much more helpful than not having an image, but only to point out that the file format is way down the list of important features, and argue that people shouldn't be "depressed" to see

3417:

What makes images easy to edit or not is only tangentially related to the output format. Most images are created using some other software application (or applications), and the best way to help someone edit them is to include a link, textual description, file, etc. of the original input format. For

3382:

My point is just that there's nothing magical about one file format or another, and the choice of format is not the most important feature of an image. All else equal, the vector image would have some advantages, but often there's a trade-off and the choice isn't quite as clear cut. For instance, if

3197:

or something. Perhaps Jurgen Jost "Riemannian Geometry" textbook, he likes to do explicit calculations; but my memory is faulty. When I was in school, one homework problem was to take the n to infty limit of this tensor; turns out it is the same as some harmonic oscillator over grassman variables, a

2601:

is referring to. I wrote the above description in terms of the tangent bivector to replace the mathematically wrong section that had been there before. What I wrote is correct and supported by sources. There may however be different factors of two in place in the article, which I have not checked

2340:

I don't have any skin in the game of your discussion but if it were me I would try to hold this to a very high standard of reference because it is a notoriously wishy-washy subject in differential geometry. The conclusions of Tu & Spivak that there is no actual detailed mathematical link between

1688:

The meaning of the expression "a manifold satisfying any of the weaker causality conditions defined above" is a manifold which falls into one or more of the classes defined by the previous causality conditions; as previously stated in the article, if it falls into one of them, it also falls into the

4704:

Higher dimensional examples are significantly more complicated/diverse; I'm not sure if the name "piecewise" is ever used for this per se, but perhaps. E.g. in the 2-dimensional case there are some such functions based on regular square or triangular grids, some based on arbitrary triangulations or

3706:

I've been working on this article recently, and intend to replace this image with several related images made in Desmos (I'm not sure if readers will notice, but anyone clicking through will then find a link to an interactive version), and also move the relevant section up toward the top and expand

2232:

Also, for considering the original example, the general meaning of "function" refers to univariate total function, but, in many texts, partial functions and multivariate functions are simply called functions. These generalized functions may be considered as functions in the first sense, by changing

3601:

For me, on Safari, there are two problems: Firstly, on all versions, commas are vertically misplaced (At the level of denominators instead as at the level of fraction bars). On most versions, the horizontal bars (fraction bars and vincula of square roots) are horizontally misplaced with respect to

3304:

SVGs including text (including mathematical formulas) have to be carefully encoded/exported to make the font render properly, and the safest is often to resort to converting all of the fonts to explicit outlines. Getting the layout to exactly match the author's intentions can take extra work in an

3387:

is a good example of an image with a lot of problems, some of which are unrelated to the format such as illegibly small labels which are partly blocked by lines and a poor choice of bright pink color for radii, and others of which might be improved by using a raster image, e.g. shading the sphere

3308:

The main benefits of using an SVG are (1) if there is explicit English text, it can be more easily translated, and (2) if someone wants to take the image and print it in a book or put it on a billboard or something they might get a marginally better result. In practice many of our SVG images have

2801:

I wouldn't say that "his best known mathematical works are in cooperation with Gerhard Huisken," since they only have two research papers together. It would be better to say something like: "Huisken and Ilmanen used inverse mean curvature flow to prove the Riemannian Penrose conjecture, which was

3678:

Argh this only gets more infuriating. The bug was reported upstream, who fixed it in 3 days. That was 4 years ago. WMF couldn't care less, apparently upgrading a library is too much work. They said they will only upgrade it together with the whole Debian distribution. The thing is, they can't be

3502:

Taking arbitrary user-generated files and serving them up is a huge new "attack surface" which most sites serving SVGs are not affected by, and I'm not sure there's a super obvious existing set of tools for mitigating it. So it's definitely not a trivial thing to tackle. But it would be nice if

3300:

There's relatively little advantage to SVGs here for most readers. Knowledge/Mediawiki renders them as a PNG image anyway, both in a thumbnail and when clicked to view larger on screen, and very few readers click through to the source file. The Mediawiki SVG renderer doesn't do a great job with

3044:

Ok, sorry, that was mean. But the line was not sourced so we have no way to know if someone just made it up. The point of Knowledge is to summarize knowledge: if you have no source then don't write an article. Move on to another topic. Every single wikipedia article has many ways to improve it,

2850:

Happy to help. Not sure what can be done to help establish wiki-notability, although I believe it's fully orthodox to regard Huisken-Ilmanen's paper as seminal and the other three publications you've listed as highly notable as well. (Speaking of which, his book should be regarded as a research

2817:

particular conjecture by Huisken and Ilmanen. As far as I know, there has not been anything widely known as "the Huisken-Ilmanen conjecture." Even the article by Dong and Song resolving the conjecture says only "This confirms a conjecture of G. Huisken and T. Ilmanen." (It's not clear to me how

2336:

I've never seen any source which actually went through the details of this interpretation and explained it, and I've seen many mathoverflow posts just like Bill Thurstons which wax lyrical about interpretations of torsion without ever explaining in mathematical detail how the formula of torsion

3783:

After looking at again it though, I think including the formula in the middle of the first image is too much text, and it would probably be better to cut out the explicit quadratic formula part, even though that's the article. I'll try to figure out how to clearly (but not too busily) show the

4082:

It's not the worst ever source (Weisstein doesn't write outright nonsense and usually cites some other sources), but I'd put it on par with some professor's blog, course notes, math overflow answers, or similar: content written by someone with expertise in the general topic, but not vetted or

4424:

While in my experience MathWorld is particularly bad (on terminology issues; the actual math is usually right), even if it were better on that, it would still be a tertiary source, as is MacTutor, as is Princeton Companion (at least arguably), and as are "various small math dictionaries and

4152:

be used as either a source or in the 'exernal links' section, but also doesn't have to be. If a particular Mathworld page doesn't add anything that isn't in an article or other accessible sources, I'd take it out from the external links section. If another better source can be cited for any

2328:

I've spent a long time trying to make sense of the torsion tensor in terms of normal coordinate systems. I came to the conclusion a long time ago that the #Twisting of reference frames section of the torsion page was wrong. Not in interpretation, but literally mathematically incorrect. The

2215:

The first goal of article names should be reflecting common usage among reliable sources, especially those from professional practitioners, with common alternative names listed/explained in the article text. This helps the widest range of readers to get up to speed with the terminology and

4503:

The challenge, I think, is describing what it means for something to be the front or back of an object without just repeating that it is in front, and without using more complex and technical terminology to describe the relation. The anatomy article may at least provide some inspiration.

4465:

I have the opposite of the usual problem. We have articles on technical concepts of orientation in math and science, but no article on the basic concept of "some things have a top and bottom and front and back". I'm trying to write something that is very everyday life/explain it like I'm

2219:

If you have a problem with widespread mathematical conventions, the place to fix it is in the mathematical literature, not in Knowledge. (But making an explicit note when terminology is confusing, ambiguous, historically revisionist, politicized, a misattribution, etc. could be helpful.)

1956:

should also be at least linked to the others. In Polish all of these inequalities are usually called simply "inequalities among means", which is also used in at least one of these articles. This name is not nearly as fitting in English as it is in Polish, but would be my first guess.

4750:). In mathematics specifically, they often seem to be explanation-of-jargon articles, which in my opinion we should generally not have. I'm not convinced there's a good rationale to explain all the different mathematical uses of "piecewise" in a single article. A blurb in 4425:

lexicons". We should really strain to avoid using tertiary sources when good secondary sources are available. (Though it's reasonable to point readers to a link inside a tertiary source in "Further reading", as an aid to readers who want to look something up quickly.) --

4372: 4115:

I don't particularly care about Weisstein's credentials, but I have too often found mistakes and neologisms in MathWorld to give my full trust in it. There are of course also many mistakes in Knowledge itself, but we don't allow Knowledge to be used as a reference.

2329:

relationships asserted between the torsion tensor and the development of a frame along a curve don't match: the expression people think of for the rotational development of a coordinate frame correspond only to the covariant derivative of the frame along the curve,

3980:

I would say that these threads indicate a consensus among math editors that MathWorld is a usable but mediocre source, reliable for basic factual questions, but questionable as an indicator of notability and questionable when it comes to issues of terminology.

1592:." I would argue that the existential quantifier here is actually hidden in "can", in the sense that "a manifold satisfying said condition can fail to do so if..." is shorthand for "there exists a manifold satisfying said condition that fails to do so if..." 4245:

Again, it is not hard to find similar mistakes in Knowledge itself, but that is not the same kind of problem because we don't use Knowledge as a reference. When we use MathWorld as a reference we need to be careful, more than with some other sources.

2897:

And now in mainspace, and passed through NPP. A nice short article. My one constructive suggestion would be to use the Quanta article as a source to say something meaningful about Ilmanen, rather than just dump it into a "further reading" section.

4348:

Apart from this mistake, the author seems to know barely anything about proof theory. The description is more one of metamathematics. Formal proofs and their systems, the only things being examined in proof theory, are not even mentioned by name.

4826:

Piecewise linear 2-manifolds, as polyhedral surfaces, are actually a quite familiar and not very advanced concept. Similarly piecewise linear curves are commonplace and familiar. It is only in higher dimensions that they get more advanced.

4181:

in which two MathWorlds being used in external links. Should they (as well as the rest of them, if possible) be excluded in this case? How did one know that whether some kind of website or any sources will be included as external links?

3908:

I believe it's been discussed here before, although I can't find it now. In my opinion a mathworld source is better than no source, but not much beyond that. (I think that was also the general consensus from previous discussion.)

4153:

particular claim, I'd cite that one instead of Mathworld. Any claim sourced to Mathworld should be double checked in better sources anyway, as it's often a bit sloppy. At that point you can just cite the other source you found. –

3784:

analytic-geometry meaning of the discriminant and other parts of the quadratic formula in another image or two; it's hard to make such images simple and legible while still trying to demonstrate more than one thing in a figure. –

1721:

Rephrasing this particular passage is more complicated than the examples given there, as it expresses a somewhat tricky logical claim. I don't think this one is really ambiguous in context, but it could be rephrased as e.g.

2912:

Nice suggestion, JBL!! Thank you! ^^ I'll follow it, but I need some rest before doing so (yesterday I edited Knowledge for something like 12 straight hours!). In fact, it was from Quanta Magazine I first heard of Ilmanen!

3072:

has no sources, and the only mention I can find in the academic literature is from a 2023 arXiv preprint. Perhaps the section should just be deleted as original research. "Bianticupola" does not seem like a notable topic.

4038:) and removed the other one as it was redundant and used only to source some alternative terminology, the sort of thing MathWorld is worst at. There still remains a MathWorld external link, of dubious value according to 2748:

When the torsion does not vanish, it means that there is a non-trivial translation component to the holonomy for the affine group, and so the developed curve need not be closed. I think the current image at the top of

3506:

I'd love to work with people on making interactive math diagrams for Knowledge, if it were possible. I think the best bet is to just host anything animated or dynamic off-site and include a static version in articles.

3257:

It's also ruined in my computer, for both Firefox and Chromium. Note that if I click through to the actual svg file it renders correctly, it's only garbled when I see it in the Knowledge article or the Media Viewer.

3004:. However, even after practically scouring the internet, the only mention I can find of them is on the Knowledge article for cupolae. If anyone knows a good place to look, I would greatly appreciate that. Thank you! 3719:

I'd welcome any other questions/requests/comments/recommended sources/collaboration on this article. It should be a high priority for us, as it gets a lot of page views (60k/month), more than related articles like

3605:

I agree with Johnjbarton that there are too much formulas in the image. Moreover, the directrix, the focus and the vertex of the parabola, and their coordinates are clerly out fo the scope of ths article.

3443:

It is depressing to let the technical flaws of MediaWiki dictate our choice of file format. I searched a bit on Phabricator, and I'm afraid you are right: they are never going to fix their SVG rendering

4676:

I have rewriten the lead for making clear that "piecewise-defined function" and "piecewise property of a function" are essentially the same concept. Much further work would be useful for this article.

3519:

Telling readers to go look at some off-site resource is an equally large attack surface, to be fair. At least if it were served up on Knowledge it might be expected to have passed some sanity checks. —

2745:. When the torsion vanishes (and the curve is null homotopic), the developed curve is also closed (a consequence of the Ambrose-Singer theorem, or alternatively even Stokes' theorem is sufficient.) 3545:

Regular tetrahedron inscribed in a sphere.svg also has an issue unrelated to its format: the use of quantum mechanics notation for its labels makes it unsuitable for topics beyond quantum mechanics. —

3602:

the remainder of the formula. This misalignment disappears when clicking on the image or on thumbnails of the history. So, the problem seems to come from the method of writing and inserting formulas.

63: 4446:. I would presume that for "basic" stuff it would be relatively accurate, but less so the farther afield one goes. I personally wouldn't use it to cite something I didn't already know to be true. 1746:: in this case, it's "menu choice": "pick any one item from this menu". Menu choice is similar to exclusive-or, but is not truth-valued, it is object-valued. Menu choice shows up as a fragment of 3488:

And that's since 2020. It's frankly ridiculous. WMF can't do even the bare minimum to keep the website running. I'm going to stop donating. They are clearly not using my money for what matters.

2476: 2103:

Lots of things have names of the form to indicate that it is a generalization or variant form of something or something modified in a certain way rather than a special case of something. A

2141:

may be a field but is not necessarily a field, which maybe is more directly analogous to the case at hand, since a partial function may be a function but is not necessarily a function. --

2716: 2216:

conventions they will find in other sources. Other goals are subsidiary to that, and any "irrational" features of the most widely used and accepted nomenclature can be explained in text.

4530:. It can help to look at how the brain psychologically maps out directions; a quick google search brought this up as an example, it may be worth pursuing this vein of research further: 2605:

The connection with development, however, is well-known and easily understood. I have given a detailed example in the image in the lede. Basically the idea is to take a closed curve

3973: 3967: 3962: 3957: 3952: 3946: 3941: 3936: 3930: 3886: 3286:

That would be a depressing choice. Clearly SVG is the appropriate format for this image, and by now it is very old technology. We should be capable of getting it to render correctly.

1194: 1190: 1186: 1182: 1178: 1174: 1166: 1162: 1151: 1147: 1143: 1139: 1135: 1131: 1127: 1123: 1119: 1115: 1111: 1107: 1092: 1088: 1084: 1080: 1076: 1072: 1068: 1064: 1060: 1056: 1052: 1048: 1037: 1033: 1029: 1025: 1021: 1017: 1013: 1009: 1005: 1001: 997: 993: 982: 978: 974: 970: 966: 962: 958: 954: 950: 946: 942: 938: 927: 923: 919: 915: 911: 907: 903: 899: 895: 891: 887: 883: 872: 868: 864: 860: 856: 852: 848: 844: 840: 836: 832: 828: 817: 813: 809: 805: 801: 797: 793: 789: 785: 781: 777: 773: 762: 758: 754: 750: 746: 742: 738: 734: 730: 726: 722: 718: 707: 703: 699: 695: 691: 687: 683: 679: 675: 671: 667: 663: 652: 648: 644: 640: 636: 632: 628: 624: 620: 616: 612: 608: 597: 593: 589: 585: 581: 577: 573: 569: 565: 561: 557: 553: 542: 538: 534: 530: 526: 522: 518: 514: 510: 506: 502: 498: 487: 483: 479: 475: 471: 467: 463: 459: 455: 451: 447: 443: 432: 428: 424: 420: 416: 412: 408: 404: 400: 396: 392: 388: 377: 373: 369: 365: 361: 357: 353: 349: 345: 341: 337: 333: 322: 318: 314: 310: 306: 302: 298: 294: 290: 286: 282: 278: 267: 263: 259: 255: 251: 247: 243: 239: 235: 231: 227: 223: 212: 208: 204: 200: 196: 192: 188: 184: 180: 176: 172: 168: 157: 153: 149: 145: 141: 137: 133: 129: 125: 121: 117: 113: 3352:

So what you are saying is that MediaWiki should stop ruining perfectly good SVGs and just deliver them as-is to the browsers, which do a good job of rendering them. Unlike MediaWiki.

1588:

You can still see "any" here as a universal quantifier, in the sense that "for all of these weaker causality conditions, a manifold satisfying said condition can fail to do so if

4089:, and even those are often not a perfect reflection of the current scholarly consensus. Where possible it's best to compare multiple recent sources by subject-specific expects. – 3830: 3237: 1724:"For each of the weaker causality conditions defined above, there are some manifolds satisfying the condition which can be made to violate it by arbitrarily small perturbations." 2975: 3707:

it. It will probably just be PNG images from a screengrab, since it takes at least twice the effort to get an SVG to render the same, and the benefit is relatively marginal. –

3383:

a raster image saves any appreciable amount of effort, it can be an advantage to spend the time saved on making more images instead of fiddling with the file format of a few.

2424: 1288: 1157: 1102: 1043: 988: 933: 878: 823: 768: 713: 658: 603: 548: 493: 438: 383: 328: 273: 218: 163: 108: 25: 2511: 2650: 3384: 3359: 3358:

The fundamental point is that an SVG encodes information as what it is: paths as paths and text as text. This makes it much easier to do anything with it. (I have in fact

2478:. The development of this parallelogram, using the connection, is no longer closed in general, and the displacement in going around the loop is translation by the vector 56: 1648: 1628: 1368: 1268:

33 edits). The article model-based clustering supports him as the inventor, but whether this is big enough for notability is unclear. Comments on that talk page please.

4064:. It is not self-published and from Weisstein's credentials, I don't see a good reason for categorizing this as an unreliable source. Are there any obvious points from 2670: 2623: 2531: 4384: 2382: 102: 98: 94: 90: 4101:

Weisstein's degrees were all in astronomy. And I'm not even aware of anybody trained in mathematics who could be a reliable source for so much mathematical material.

3841: 2743: 3639: 3165:-dimensional calculations without any indication that going beyond 3 dimensions is a thing that warrants all that detail. (Like a lot of math pages, the increase in 3169:

between one reference per section and one reference per sentence would not be that great in practice. But it needs a little work to get up to the former standard.)

3101:

I added the tag unreferenced, because there are lot of sections that do not have any sources to cite the facts. Is there any possiblity that they could be removed?

2557: 1836: 1411: 3281: 2782:? He seems like notable enough (many papers cited by hundreds each), but it's hard to find sources about him (not about his work). :( I've made a beginning draft: 4892: 4345:, but metamathematics does not even stop there. It was mostly subsumed by mathematical logic to increase rigor, so I guess this is where the confusion originates. 3163: 21: 3767:

I replaced the top image of this article, which wasn't very clear, and also added an image to the derivation by completing the square section, both shown here:

3178: 1325: 49: 4812:

is about a very advanced matheatical concept, one can presume that interested readers will not search for "piecewise", and that the new hatnote is sufficient.

4690:

Someone should write something about the higher dimensional case, especially surface interpolation and connections with many areas (e.g., computer graphics).

4134:

I'm curious now. Can you give me an example of some mistakes in MathWorld? Also, what about external links? Can MathWorld be used for external links as well?

3355:

One can make bad choices of font and colour in either format; the difference is that in a SVG it is trivial to fix them, whereas in a raster format it is not.

1702:

Some months ago, the was consensus that "any" should be avoided (in order not to require the reader to be familiar with discussions like the above one), see

3228:

is garbled in Firefox. Looking at its history, the previous version was fine, but the change to "fix rendering issues in Chromium" seems to have broken it.

2883:

Thank you so much!!! "Review waiting, please be patient. This may take 8 weeks or more." EIGHT WEEKS OR MORE....... ZZZzzzzzZzZZzZ "be patient" hahaha. :)

1788:? This is the name often given in the literature to this debate. I do not know much about it but it seemed odd when I was looking for it. See for example 1541:

Here, "any" is used as an existential quantifier, and it is not clear to me that it is one of those three kinds. Thus my list appears to be incomplete.

2064:

so its variants are best described with properties of relations. A partial function is a univalent relation, and a multivalued function is a relation.

4392: 4084: 2006: 3305:

SVG. Knowledge doesn't support any of SVGs interaction features that could plausibly make it an attractive format for animation or interactivity.

3995:

Mathworld usually doesn't make outright false mathematical claims, but has a tendency to repeat (or invent?) dubious historical/naming claims. –

2341:

the name torsion and some of the more elementary interpretations of twisting of a frame around a curve seem to hold up to my scrutiny at least.

4034: 4008: 2060:, as in the two article names, invites arbitrary deductions since any proposition may be deduced from a contradiction. A function is a type of 1421:

It is clear that in standard English usage, the words "every" and "some" as used above are respectively universal and existential quantifiers.

17: 4535: 4218: 3743: 3714: 3617: 3596: 3295: 3267: 3252: 3211: 1206: 1202: 1198: 4391:

Mathworld content is also published in book form for by CRC press btw.. For a freely accessible online resource for math history topics the

4232:

describes as a "trapezoidal dodecahedron" (bottom right corner of table) a shape that I think is properly called a "deltoidal dodecahedron"

1548:

A grammar question rather than a math question, but one to which mathematicians are in more desparate need to pay attention than is perhaps

3309:

ugly color and font choices, poor layout, etc., all of which are more important to get right than the choice of raster vs. vector format. –

2157:

I don't believe Knowledge claims to be "rational", nor would we want it to be. Rationality has its limits; irrationality knowns no bounds.

1672:, there exists a manifold satisfying it that fails to do so if...". So the hidden existential quantifier does not refer to the same thing. 4278:, where MathWorld says that it is constructed by erecting regular tetrahedron onto each square faces of an equilateral triangular prism. 1533:

A manifold satisfying any of the weaker causality conditions defined above may fail to do so if the metric is given a small perturbation.

3365:

The low resolution can be mitigated by using larger file sizes, as you say, but this is just another instance of an inferior solution.

4350: 3203: 2966: 2944: 2274: 2260: 2093: 1806:

For me, naming an obscure topic from 100 years ago using an unfamiliar non-English word (German?) is the same as deleting the article.

1759: 3403:

As for my figure, since it's an SVG you can easily change everything you dislike about it. If it were a PNG you wouldn't be able to.

1442:(But "Anyone can be elected chair of the committee" doesn't mean the same thing as "Everyone can be elected chair of the committee.) 4805: 3388:(you can get somewhat acceptable sphere shading using SVG gradients, but it's not obvious, kind of tricky, and often done poorly). – 3771: 2195: 1776: 4848: 4327:

It currently starts with "Proof theory, also called metamathematics", which is just bs. The Knowledge articles are much better.

2851:

contribution and not as a textbook.) You might have to just hope to come across a sympathetic admin when submitting the draft.

3893:, and I claim that Wolfram Mathworld is not reliable sources, but the nominator claimed the otherwise. Now I'm very confused. 1851:. Seems fine to me to create a redirect and mention the name in the lead section (doesn't need to be bolded in my opinion). – 4275: 3019: 2813:

I also wouldn't refer to "the Huisken-Ilmanen conjecture" unless grammatically in the particular context of talking about

2358:

The foregoing considerations can be made more quantitative by considering a small parallelogram, originating at the point

2237:. This is for this reason that I have added recently the subsections "Partial functions" and "Multivariate functions" to 2115:

is not a cube. "Partial function" is no different. There is nothing inconsistent about this naming convention. See also

4488: 3750: 2014: 4875: 4860: 4836: 4821: 4794: 4763: 4740: 4712: 4699: 4685: 4671: 4656: 4593: 4570: 4546: 4519: 4498: 4481: 4453: 4434: 4419: 4404: 4358: 4308: 4290: 4269: 4255: 4204: 4191: 4160: 4143: 4125: 4110: 4096: 4077: 4051: 4020: 4002: 3990: 3918: 3902: 3875: 3791: 3762: 3691: 3673: 3657: 3568: 3554: 3528: 3514: 3497: 3483: 3461: 3438: 3425: 3412: 3395: 3374: 3347: 3316: 3110: 3092: 3080: 3062: 3024: 2988: 2922: 2907: 2892: 2878: 2860: 2845: 2827: 2795: 2766: 2587: 2572: 2350: 2321: 2286: 2250: 2227: 2207: 2187: 2166: 2150: 2132: 2098: 2073: 2018: 1984: 1966: 1946: 1903: 1876: 1858: 1818: 1800: 1767: 1733: 1715: 1696: 1681: 1663: 1601: 1583: 1568: 1300: 1277: 4628: 3863: 3849: 1238: 4843:

Moreover, all articles whose name begin with "piecewise" refer to the same meaning of this adjective. In this case,

2429: 1754:, which says "you can only have one of these") but also in vending machines "for a dollar you pick one item" and in 4778: 4770: 4652: 4642: 4612: 3776: 1711: 4410:

It seems to conflate distinct concepts and to make general statements that are only true in specific contexts. --

4809: 4801: 4782: 4724: 4624: 4533: 4459: 2602:

in detail. So this interpretation is satisfied up to a factor of two that is subject to checking conventions.

1742:

Jacobulus last suggestion is perfect. To answer Micheal Hardy's original question, there is yet another sense of

4083:

carefully fact-checked. It's much less reliable as a source than e.g the articles by O'Connor and Robertson at

1217: 4832: 4736: 4636: 4304: 4251: 4121: 4047: 3653: 3550: 3524: 3479: 3139: 2128: 2079:

It's established mathematical terminology, and it's also pretty common in English generally (see, for example,

1927: 1847: 2675: 1260:

has gone through a PROD, but still has issues as it is based on one secondary textbook claim that his work on

4790: 4751: 4645:

which I consider misleading since the properties are independent of the way in which a function is defined.)

4296: 4239: 4057: 2049: 2010: 1564: 4728: 4354: 3207: 2238: 2203: 2089: 2061: 2028:

In the interest of keeping this Project rational, it can be noted that as things stand, a function may be

1763: 1597: 1261: 4615:. Shouldn't we have an article about the general concept "piecewise" (when applied to some property of a 1883:

Thank you all, I prefer to keep it bold but that can be discussed. As for the main topic I consider this

4705:

division into assorted rectangles, and some based on arbitrary divisions into regions of other shapes. –

4695: 4648: 4551:

Excellent, thanks. This is very useful, and I can see how challenging it would be to write a topic like

4450: 4380: 4214: 3837: 3729: 3635: 3592: 3277: 3233: 3174: 3058: 3001: 2994: 2762: 2162: 2108: 1832: 1814: 1707: 1321: 4604: 1923: 4769:

Since the article, as it now stands, is only about piecewise defined functions, it should be moved to

3800: 2317: 4844: 4632: 4286: 4265: 4187: 4139: 4016: 3898: 3630:. An improved version (reliable rendering, leaving out the focus and directrix, etc.) would be nice. 3243:

For me, both versions seem to look fine (i.e. the same to each other), on both Firefox and Chromium.

3106: 3007: 2962: 2234: 2116: 2037: 1980: 1962: 1958: 1919: 1522: 3400:

Well have you opened a ticket in Phabricator? They won't change anything if people don't ask for it.

4871: 4828: 4759: 4732: 4709: 4495: 4430: 4300: 4247: 4201: 4157: 4131: 4117: 4093: 4043: 3999: 3986: 3890: 3788: 3740: 3711: 3670: 3649: 3546: 3520: 3511: 3475: 3435: 3422: 3392: 3344: 3313: 3301:

antialiasing so the lines often look better when downscaled from a highish resolution raster image.

3089: 3077: 2940: 2918: 2903: 2888: 2841: 2791: 2583: 2346: 2306: 2299: 2282: 2224: 2146: 2124: 2080: 1855: 1730: 1693: 1296: 1265: 4260:

Ahh... I see, then. Just in case, I think I prefer to find better sources for the external links.

4222: 3031: 3011: 2387: 4856: 4817: 4786: 4681: 4667: 4342: 4279: 4233: 4106: 3914: 3871: 3725: 3721: 3627: 3613: 3325:), but where the PNG image is significantly better than the SVG based on other graphical choices: 3248: 3132: 3121: 2984: 2970: 2874: 2856: 2823: 2568: 2481: 2313: 2246: 2041: 1751: 1677: 1579: 1560: 1313: 1306: 1223: 4213:

One example of a mistake in MathWorld, since you're focused on polyhedra: at the time I brought

2628: 1971:

I usually hear this called "Power Mean Inequality" in English (which is currently a redirect to

3198:

determinant of some feynmann path integral. I forget; it has some famous name attached to it -

1339: 4542: 4073: 3623: 3587:

All the files in the history look equally useless to me. Far too many equations on the graph.

3225: 3219: 3069: 3046: 3038: 3015: 2783: 2199: 2104: 2084: 2069: 1953: 1940: 1899: 1796: 1789: 1593: 1287:

There is a discussion about the ≙ character that needs attention from mathematical editors at

1273: 4236: 3832:

part and just show the evaluation of the formula?) But thanks very much for working on this.

3362:. A PNG erases all the underlying data and gives us just a representation of the information. 1633: 1613: 4691: 4588: 4565: 4514: 4476: 4447: 4415: 4400: 4376: 4174: 4061: 3833: 3758: 3703: 3687: 3631: 3588: 3564: 3503:

someone would devote some resources to this, since the potential of SVGs is also pretty big.

3493: 3457: 3408: 3370: 3291: 3273: 3263: 3229: 3199: 3186: 3170: 3085:

I just deleted the section. If someone can find reliable sources, feel free to restore it. –

3054: 2778:

Good day! Is there some experienced editor interested in helping me create an article about

2758: 2655: 2608: 2516: 2158: 2029: 1972: 1931: 1872: 1864: 1828: 1810: 1784: 1758:

in computing (one user at a time.) Menu choice is a really cool tool in foundational logic.

1659: 1317: 1221: 1219: 39: 3648:) but that didn't help, so it's not a caching issue. I think the file itself is not good. — 3321:

As an explicit example, here are two images which nominally show the same subject (used in

2361: 2044:. The terms "partial function" and "multivalued function" are self-contradictory, they are 4330: 4282: 4261: 4183: 4135: 4012: 3894: 3194: 3102: 2721: 1976: 1382: 3379:

Mediawiki has not changed in this regard in like 15+ years, so I'm not holding my breath.

4281:. I remember you have explained this in the edit summary before you nominated it to GA. 3470:, so even smaller improvements (than native rendering or a better library) are blocked: 2536: 1998: 4867: 4755: 4747: 4706: 4492: 4426: 4198: 4178: 4166: 4154: 4090: 4039: 3996: 3982: 3785: 3737: 3708: 3667: 3645: 3508: 3432: 3419: 3389: 3341: 3310: 3098: 3086: 3074: 3050: 2914: 2899: 2884: 2837: 2787: 2750: 2598: 2579: 2342: 2292: 2278: 2221: 2173: 2142: 2033: 1852: 1727: 1690: 1292: 3202:

or something like that. The joke is that physicists know how to do only one integral.

3148: 1483:

I thought that there are three contexts in which "any" is an existential quantifier:

4886: 4852: 4813: 4677: 4663: 4102: 3924: 3910: 3867: 3609: 3244: 3128: 2980: 2870: 2852: 2819: 2754: 2564: 2242: 2120: 2057: 1673: 1575: 1257: 1250: 4847:

discourages to create a dab page, and recommends an article on the general concept (

1827:

should be included in the lede; it seems common enough in writings about the topic.

4538: 4443: 4338: 4334: 4069: 4065: 2178: 2065: 1936: 1895: 1792: 1747: 1269: 4221:

gave an incorrect construction based on the coordinates of a regular icosahedron.

4322: 2807: 4579: 4556: 4505: 4467: 4411: 4396: 3754: 3683: 3560: 3489: 3453: 3404: 3366: 3287: 3259: 3166: 2803: 2779: 2772: 1868: 1655: 4229: 3797:

The middle of the first image does look a little text-heavy. (Maybe remove the

4536:

https://econtent.hogrefe.com/doi/abs/10.1027/1864-9335/a000065?journalCode=zsp

4170: 4029: 3736:, and seems likely to be routinely consulted by middle/high school students. – 3334: 3329: 3190: 2138: 1755: 4321:

I wanted to check this against my field of expertise and found this article:

4774: 4608: 4228:

Another example of what I think is a mistake, of terminology for polyhedra:

3322: 2333:

to the difference of covariant derivatives as appears in the torsion tensor.

2112: 4375:. MathWorld being untrustworthy for terminology has been an ongoing theme. 2305:

The summary of the discussion (in my view point) is written in the section

3037:

I fixed your problem: I deleted the word "Bianticupolae" from the article

2976:

Knowledge:Redirects for discussion/Log/2024 March 18 § Idealwise separated

3733: 2045: 1703: 3855: 2951: 2337:

relates directly to the development of a coordinate frame along a curve.

2266: 3467: 3927:, but it has been discussed here many times, including the following: 2866: 2818:

significant the conjecture or its proof should be regarded as being.)

2597:

The article has been substantially revised since the bad version that

4032:, I replaced one MathWorld source by a much better one (a chapter in 4235:. The trapezoidal dodecahedron is something else, not an isohedron 4552: 4527: 2973:. Readers of this page are welcome to comment on this redirect at 2869:

where the Riemannian Penrose inequality is the fifteenth problem.

4442:

While often very useful, I wouldn't characterize MathWorld as a

3448:

and nor are they going to allow browsers to render SVGs instead

2753:

nicely illustrates this, and as a bonus shows the connection to

1845:

means "foundational debate", and was related to Hilbert's book

3682:

What on Earth are these clowns doing with out donation money?

1224: 33: 4804:, and I have just added in this article a hatnote linking to 4800:

I disagree: The lead of the article defines and is linked to

3471: 2275:

Talk:N = 2 superconformal algebra#Requested move 7 March 2024

2261:

Talk:N = 2 superconformal algebra#Requested move 7 March 2024

3854: 3663: 3559:

The topic is quantum mechanics, the filename is a misnomer.

3445: 3431:

high-quality images of any format created for the project. –

2265: 3449: 1809:

Maybe "Grundlagenstreit, the Brouwer–Hilbert controversy"?

3662:

I think it's related to this regression in SVG rendering:

4754:

might be OK, and the search term could redirect there. --

4662:

I agree, and I have reverted back to the previous title.

1574:

In the above quotation, "any" is a universal quantifier.

3866:

that may be of interest to members of this WikiProject.

3864:

Talk:Flatness (mathematics)#Requested move 19 March 2024

3850:

Talk:Flatness (mathematics)#Requested move 19 March 2024

2277:

that may be of interest to members of this WikiProject.

4746:

Generally adjectives make bad article titles (see also

3193:

to define some inner product on some space of forms or

2957: 4333:

is much more general, e.g. it includes semantics from

4173:, but for whole articles in general. An example is GA 4060:

created and maintains MathWorld, which is licensed by

3889:, is Wolfram Mathworld reliable? I took the reviewing 4777:

disambiguation page should be created, with links to

4341:

is syntactic. The latter two fields are subfields of

3803: 3151: 2724: 2678: 2658: 2631: 2611: 2539: 2519: 2484: 2432: 2426:. Then the tangent bivector to the parallelogram is 2390: 2364: 1863:

No, but theree should be a printworthy redirect from

1636: 1616: 1457:

There isn't anyone here who can answer that question.

1386: 1343: 1289:

Knowledge:Redirects for discussion/Log/2024 March 2#≙

1264:

matters. It was created directly by a novice editor (

4578:

I have worked the draft up some. What do you think?

3135:

and made some other small fixes. It currently has 3

2969:

to determine whether its use and function meets the

1449:"Any" can also be an existential quantifier, as in: 1316:? It's roughly as disorganized as one would expect. 2802:resolved at the same time in greater generality by 2533:is the torsion tensor, up to higher order terms in 2056:is one of the parameters of evaluation. Tolerating 3949:(also mentioned in two other threads on that page) 3824: 3466:It also seems they are stuck on an old version of 3385:File:Regular tetrahedron inscribed in a sphere.svg 3157: 3000:I have been looking for sources for my article on 2737: 2710: 2664: 2644: 2617: 2551: 2525: 2505: 2470: 2418: 2376: 1642: 1622: 1466:Is there anyone here who can answer that question? 1404: 1361: 2241:, with explanations on these terminology shifts. 2009:might be of interest to members of this project. 2865:It may be a small help to cite Yau's well-known 1475:If anyone knows the answer, please step forward. 3145:tags; in particular, there's a long stretch of 2471:{\displaystyle v\wedge w\in \Lambda ^{2}T_{p}M} 4723:This concept is not only about functions. See 4323:https://mathworld.wolfram.com/ProofTheory.html 3034:please use the Add Topic button in Talk pages. 1232:This page has archives. Sections older than 57: 8: 3272:Maybe we should just replace it with a PNG? 1973:Generalized_mean#Generalized_mean_inequality 1428:"Any" can be a universal quantifier, as in: 4299:. They still haven't fixed that, I guess? — 3933:(several threads on that page are relevant) 4371:I linked to a few other discussions in my 3005: 64: 50: 4489:Anatomical terms of location § Main terms 3923:It seems to never have been discussed at 3802: 3150: 2729: 2723: 2711:{\displaystyle dx^{i}=\gamma ^{*}\theta } 2699: 2686: 2677: 2657: 2636: 2630: 2610: 2538: 2518: 2483: 2459: 2449: 2431: 2407: 2389: 2363: 2307:Discussion between Tito Omburo and Idutsu 2111:is not actually an an icosahedron, and a 1635: 1615: 1385: 1342: 4412:Shmuel (Seymour J.) Metz Username:Chatul 3862:There is a requested move discussion at 3664:https://phabricator.wikimedia.org/T97233 3041:so now the internet will not mention it. 2836:Wow!!! Thank you very much, Gumshoe2!!! 2625:in the manifold, and a parallel coframe 2273:There is a requested move discussion at 1869:Shmuel (Seymour J.) Metz Username:Chatul 4393:MacTutor History of Mathematics Archive 3226:Quadratic_function_graph_key_values.svg 2007:Knowledge talk:Good article nominations 1514:those being the three exhibited above. 88: 4526:I had similar challenges when editing 4035:The Princeton Companion to Mathematics 3608:So, I recommend to remove this image. 1723: 18:Knowledge talk:WikiProject Mathematics 4893:WikiProject Mathematics archives/2024 3970:(two consecutive sections mention it) 1937:Piotr Konieczny aka Prokonsul Piotrus 1610:Because pushing a negation through a 7: 4866:If not, then we shouldn't either. -- 4169:Ahh. I see. What I meant is not for 2355:Is this the part you disagree with? 4466:five-oriented. Who's good at that? 2963:Completion of a ring#Krull topology 2174:much harder to keep things rational 1559:What should be added to this list? 4395:is usually a better alternative.-- 2520: 2485: 2446: 1782:Should this article be renamed to 1637: 1617: 1312:Does anyone feel like cleaning up 45:WikiProject Mathematics archives ( 32: 4806:piecewise linear (disambiguation) 3825:{\displaystyle y=0\Rightarrow x=} 2239:Function (mathematics)#Definition 1236:may be automatically archived by 4785:, and other "piecewise" things. 3775: 3770: 3333: 3328: 2950: 2324:, editor of japanese Knowledge. 2196:irrationality has its limits too 1997: 1885: 1362:{\displaystyle \varepsilon : --> 38: 2979:until a consensus is reached. 1521:But then in the article titled 4641:(The last 2 links redirect to 3881:Is Wolfram Mathworld reliable? 3813: 3753:on VPWMF to solve this issue. 3070:Cupola (geometry) § Anticupola 2500: 2488: 2298:Could you join the dispute at 2137:Well put. I would add that a 2107:is not actually a triangle. A 1670:for any (every) said condition 1: 4276:Triaugmented triangular prism 3049:. Find some good sources and 2810:could be used as a reference. 2419:{\displaystyle v,w\in T_{p}M} 1967:02:45, 26 February 2024 (UTC) 1947:02:07, 26 February 2024 (UTC) 1734:21:43, 21 February 2024 (UTC) 1716:20:10, 21 February 2024 (UTC) 1697:19:41, 21 February 2024 (UTC) 1682:19:36, 21 February 2024 (UTC) 1664:19:30, 21 February 2024 (UTC) 1602:19:09, 21 February 2024 (UTC) 1584:19:02, 21 February 2024 (UTC) 1569:18:51, 21 February 2024 (UTC) 4028:sources should be used. For 3185:showing the gory details of 2806:using alternative methods." 2506:{\displaystyle \Theta (v,w)} 1934:may need a merge. Thoughts? 4629:piecewise constant function 3644:I tried purging the image ( 3622:OK, I have removed it from 2645:{\displaystyle \theta ^{i}} 1777:Brouwer–Hilbert controversy 1405:{\displaystyle \delta : --> 4909: 4876:18:36, 30 March 2024 (UTC) 4861:11:25, 30 March 2024 (UTC) 4837:20:06, 30 March 2024 (UTC) 4822:11:05, 30 March 2024 (UTC) 4795:02:24, 30 March 2024 (UTC) 4779:Piecewise-defined function 4771:Piecewise-defined function 4764:19:50, 29 March 2024 (UTC) 4741:19:13, 29 March 2024 (UTC) 4713:17:17, 29 March 2024 (UTC) 4700:15:06, 29 March 2024 (UTC) 4686:12:36, 29 March 2024 (UTC) 4672:11:46, 29 March 2024 (UTC) 4657:11:11, 29 March 2024 (UTC) 4643:Piecewise-defined function 4613:Piecewise-defined function 4594:20:11, 29 March 2024 (UTC) 4571:17:42, 19 March 2024 (UTC) 4547:16:03, 19 March 2024 (UTC) 4520:15:10, 19 March 2024 (UTC) 4499:07:13, 19 March 2024 (UTC) 4482:02:47, 19 March 2024 (UTC) 4454:15:53, 18 March 2024 (UTC) 4359:13:13, 18 March 2024 (UTC) 4309:17:44, 28 March 2024 (UTC) 4291:13:54, 28 March 2024 (UTC) 4274:Just realized the article 4021:13:50, 28 March 2024 (UTC) 3876:10:17, 24 March 2024 (UTC) 3842:20:26, 23 March 2024 (UTC) 3792:19:01, 23 March 2024 (UTC) 3763:16:06, 23 March 2024 (UTC) 3744:17:49, 21 March 2024 (UTC) 3715:17:48, 21 March 2024 (UTC) 3692:21:12, 22 March 2024 (UTC) 3674:19:25, 22 March 2024 (UTC) 3658:17:50, 21 March 2024 (UTC) 3640:17:28, 21 March 2024 (UTC) 3618:16:37, 21 March 2024 (UTC) 3597:16:11, 21 March 2024 (UTC) 3569:22:43, 21 March 2024 (UTC) 3555:22:12, 21 March 2024 (UTC) 3529:22:58, 22 March 2024 (UTC) 3515:17:43, 22 March 2024 (UTC) 3498:16:24, 22 March 2024 (UTC) 3484:16:13, 22 March 2024 (UTC) 3462:08:56, 22 March 2024 (UTC) 3439:02:29, 22 March 2024 (UTC) 3426:22:27, 21 March 2024 (UTC) 3413:21:52, 21 March 2024 (UTC) 3396:21:37, 21 March 2024 (UTC) 3375:21:04, 21 March 2024 (UTC) 3348:18:57, 21 March 2024 (UTC) 3317:18:50, 21 March 2024 (UTC) 3296:18:28, 21 March 2024 (UTC) 3282:16:01, 21 March 2024 (UTC) 3268:15:50, 21 March 2024 (UTC) 3253:15:43, 21 March 2024 (UTC) 3238:15:33, 21 March 2024 (UTC) 3212:00:16, 22 March 2024 (UTC) 3179:17:32, 17 March 2024 (UTC) 3127:I just reverted a pile of 3111:11:24, 19 March 2024 (UTC) 3093:22:40, 18 March 2024 (UTC) 3081:22:24, 18 March 2024 (UTC) 3063:21:43, 18 March 2024 (UTC) 3025:17:32, 17 March 2024 (UTC) 2989:06:22, 19 March 2024 (UTC) 2923:11:18, 16 March 2024 (UTC) 2908:23:00, 15 March 2024 (UTC) 2893:14:30, 15 March 2024 (UTC) 2879:14:05, 15 March 2024 (UTC) 2861:13:49, 15 March 2024 (UTC) 2846:13:34, 15 March 2024 (UTC) 2828:13:31, 15 March 2024 (UTC) 2796:10:27, 15 March 2024 (UTC) 2767:20:15, 15 March 2024 (UTC) 2588:22:09, 15 March 2024 (UTC) 2573:13:36, 15 March 2024 (UTC) 2351:06:23, 15 March 2024 (UTC) 2322:14:20, 14 March 2024 (UTC) 2287:23:44, 14 March 2024 (UTC) 2251:09:54, 10 March 2024 (UTC) 2228:04:27, 10 March 2024 (UTC) 2208:04:09, 10 March 2024 (UTC) 2188:03:51, 10 March 2024 (UTC) 2167:01:56, 10 March 2024 (UTC) 2151:03:28, 10 March 2024 (UTC) 2133:01:29, 10 March 2024 (UTC) 2099:01:17, 10 March 2024 (UTC) 2074:01:09, 10 March 2024 (UTC) 1750:(for example, the quantum 4810:Piecewise linear manifold 4802:piecewise linear function 4783:Piecewise linear manifold 4725:piecewise linear manifold 4625:piecewise linear function 4460:Draft:Orientational terms 4435:22:44, 7 March 2024 (UTC) 4420:16:33, 7 March 2024 (UTC) 4405:08:49, 7 March 2024 (UTC) 4385:17:20, 6 March 2024 (UTC) 4270:12:32, 7 March 2024 (UTC) 4256:07:34, 7 March 2024 (UTC) 4205:05:56, 7 March 2024 (UTC) 4192:05:44, 7 March 2024 (UTC) 4161:05:04, 7 March 2024 (UTC) 4144:04:02, 7 March 2024 (UTC) 4126:18:29, 6 March 2024 (UTC) 4111:17:44, 6 March 2024 (UTC) 4097:15:19, 6 March 2024 (UTC) 4078:13:39, 6 March 2024 (UTC) 4052:19:37, 2 March 2024 (UTC) 4003:19:40, 2 March 2024 (UTC) 3991:18:57, 2 March 2024 (UTC) 3919:17:01, 2 March 2024 (UTC) 3903:07:12, 2 March 2024 (UTC) 2672:, and then solve the ODE 2019:22:23, 7 March 2024 (UTC) 1985:16:38, 7 March 2024 (UTC) 1904:21:06, 4 March 2024 (UTC) 1877:16:28, 4 March 2024 (UTC) 1859:16:30, 4 March 2024 (UTC) 1837:16:18, 4 March 2024 (UTC) 1819:15:45, 4 March 2024 (UTC) 1801:10:01, 4 March 2024 (UTC) 1768:07:34, 4 March 2024 (UTC) 1668:The correct phrasing is " 1590:<rest of sentence: --> 1435:"Any fool can see that." 1326:18:35, 3 March 2024 (UTC) 1301:12:35, 2 March 2024 (UTC) 1278:09:57, 2 March 2024 (UTC) 4849:WP:Broad-concept article 4637:piecewise differentiable 4068:that suggest otherwise? 3189:or maybe how to use the 2967:redirects for discussion 2945:Redirects for discussion 1928:QM-AM-GM-HM inequalities 1848:Grundlagen der Geometrie 1643:{\displaystyle \exists } 1623:{\displaystyle \forall } 4752:glossary of mathematics 4297:Special:Diff/1112387125 4240:Special:Diff/1150447755 4058:Eric Wolfgang Weisstein 3360:used those capabilities 2665:{\displaystyle \gamma } 2618:{\displaystyle \gamma } 2526:{\displaystyle \Theta } 4729:piecewise linear curve 3859: 3826: 3159: 2739: 2712: 2666: 2646: 2619: 2553: 2527: 2507: 2472: 2420: 2378: 2377:{\displaystyle p\in M} 2270: 1644: 1624: 1407: 1364: 1262:model-based clustering 1239:Lowercase sigmabot III 4219:the MathWorld article 3858: 3827: 3730:completing the square 3160: 2867:list of open problems 2740: 2738:{\displaystyle x^{i}} 2713: 2667: 2647: 2620: 2554: 2528: 2508: 2473: 2421: 2379: 2269: 2194:You could argue that 2109:truncated icosahedron 2011:~~ AirshipJungleman29 1645: 1625: 1408: 1365: 4633:piecewise continuous 4373:general advice essay 4215:Jessen's icosahedron 3801: 3149: 2722: 2676: 2656: 2629: 2609: 2537: 2517: 2482: 2430: 2388: 2362: 1993:Notice of discussion 1634: 1614: 1523:Causality conditions 1384: 1341: 4223:The current version 4197:just take it out. – 4009:open for discussion 3891:Talk:Arithmetic/GA2 3887:previous discussion 3218:Confusing image at 3045:including I'm sure 2971:redirect guidelines 2965:has been listed at 2958:Idealwise separated 2941:Idealwise separated 2552:{\displaystyle v,w} 2300:Talk:Torsion tensor 2081:Subsective modifier 1867:to the article. -- 1790:Brouwer's biography 1504:conditional clauses 4623:), which subsumes 4607:'s recent move of 4343:mathematical logic 3860: 3848:Requested move at 3822: 3726:quadratic function 3722:quadratic equation 3646:Commons:Help:Purge 3628:Quadratic equation 3155: 3133:Levi-Civita symbol 3122:Levi-Civita symbol 2995:Draft:Bianticupola 2735: 2708: 2662: 2642: 2615: 2549: 2523: 2503: 2468: 2416: 2374: 2271: 2259:Requested move at 1752:no-cloning theorem 1640: 1620: 1412:0,\ldots }" /: --> 1402: 1369:0,\ldots }" /: --> 1359: 1314:Mental calculation 1307:Mental calculation 4731:, for instance. — 4646: 4217:up to GA status, 3624:Quadratic formula 3220:Quadratic formula 3158:{\displaystyle n} 3047:Cupola (geometry) 3039:Cupola (geometry) 3023: 3010:comment added by 2784:Draft:Tom Ilmanen 2578:quality sources! 2210: 2190: 2183: 2105:Reuleaux triangle 2097: 1954:Pythagorean means 1525:, I found this: 1336:For every number 1246: 1245: 95:Nov 2002–Dec 2003 4900: 4649:Jochen Burghardt 4640: 4639:function, etc.? 4619:, rather than a 4603:I'm confused by 4586: 4563: 4512: 4474: 4175:Malfatti circles 4062:Wolfram Research 3831: 3829: 3828: 3823: 3779: 3774: 3337: 3332: 3200:Berezin integral 3195:weak derivatives 3187:Poincare duality 3164: 3162: 3161: 3156: 3144: 3138: 2960: 2954: 2744: 2742: 2741: 2736: 2734: 2733: 2718:for coordinates 2717: 2715: 2714: 2709: 2704: 2703: 2691: 2690: 2671: 2669: 2668: 2663: 2651: 2649: 2648: 2643: 2641: 2640: 2624: 2622: 2621: 2616: 2558: 2556: 2555: 2550: 2532: 2530: 2529: 2524: 2512: 2510: 2509: 2504: 2477: 2475: 2474: 2469: 2464: 2463: 2454: 2453: 2425: 2423: 2422: 2417: 2412: 2411: 2383: 2381: 2380: 2375: 2193: 2186: 2181: 2172:It's also often 2171: 2087: 2050:WP:Article names 2005:A discussion at 2001: 1943: 1932:Generalized mean 1924:AM–GM inequality 1893: 1889: 1888: 1865:Grundlagenstreit 1843:Grundlagenstreit 1825:Grundlagenstreit 1785:Grundlagenstreit 1708:Jochen Burghardt 1649: 1647: 1646: 1641: 1629: 1627: 1626: 1621: 1413: 1410: 1409: 1403: 1383:0,\ldots }": --> 1379:For some number 1370: 1367: 1366: 1360: 1340:0,\ldots }": --> 1331:any, every, some 1241: 1225: 66: 59: 52: 42: 34: 4908: 4907: 4903: 4902: 4901: 4899: 4898: 4897: 4883: 4882: 4773:and then a new 4601: 4580: 4557: 4506: 4487:Take a look at 4468: 4463: 4331:Metamathematics 3885:Related to the 3883: 3853: 3799: 3798: 3223: 3147: 3146: 3142: 3140:citation needed 3136: 3125: 2998: 2961:to the article 2956: 2948: 2776: 2725: 2720: 2719: 2695: 2682: 2674: 2673: 2654: 2653: 2632: 2627: 2626: 2607: 2606: 2535: 2534: 2515: 2514: 2480: 2479: 2455: 2445: 2428: 2427: 2403: 2386: 2385: 2360: 2359: 2296: 2264: 2184: 2177: 2048:. According to 2026: 1995: 1945: 1941: 1920:User:Epsilon598 1916: 1886: 1884: 1823:Maybe the term 1780: 1632: 1631: 1612: 1611: 1381: 1380: 1338: 1337: 1333: 1310: 1285: 1254: 1237: 1226: 1220: 1211: 1097: 87: 86: 73: 70: 30: 29: 28: 12: 11: 5: 4906: 4904: 4896: 4895: 4885: 4884: 4881: 4880: 4879: 4878: 4841: 4840: 4839: 4829:David Eppstein 4767: 4766: 4745: 4743: 4733:David Eppstein 4721: 4720: 4719: 4718: 4717: 4716: 4715: 4600: 4597: 4576: 4575: 4574: 4573: 4531: 4524: 4523: 4522: 4462: 4457: 4440: 4439: 4438: 4437: 4388: 4387: 4369: 4368: 4367: 4366: 4365: 4364: 4363: 4362: 4361: 4346: 4328: 4325: 4319: 4318: 4317: 4316: 4315: 4314: 4313: 4312: 4311: 4301:David Eppstein 4248:David Eppstein 4243: 4226: 4211: 4210: 4209: 4208: 4207: 4179:Square pyramid 4132:David Eppstein 4118:David Eppstein 4099: 4044:David Eppstein 4025: 4024: 4023: 4005: 3978: 3977: 3976: 3971: 3965: 3960: 3955: 3950: 3944: 3939: 3934: 3921: 3882: 3879: 3852: 3846: 3845: 3844: 3821: 3818: 3815: 3812: 3809: 3806: 3782: 3747: 3746: 3717: 3700: 3699: 3698: 3697: 3696: 3695: 3694: 3680: 3650:David Eppstein 3642: 3626:and also from 3606: 3603: 3599: 3585: 3584: 3583: 3582: 3581: 3580: 3579: 3578: 3577: 3576: 3575: 3574: 3573: 3572: 3571: 3547:David Eppstein 3543: 3542: 3541: 3540: 3539: 3538: 3537: 3536: 3535: 3534: 3533: 3532: 3531: 3521:David Eppstein 3504: 3476:David Eppstein 3428: 3401: 3380: 3363: 3356: 3353: 3338: 3326: 3319: 3306: 3302: 3255: 3222: 3216: 3215: 3214: 3154: 3124: 3119: 3118: 3117: 3116: 3115: 3114: 3113: 3066: 3065: 3042: 3035: 2997: 2992: 2947: 2937: 2936: 2935: 2934: 2933: 2932: 2931: 2930: 2929: 2928: 2927: 2926: 2925: 2863: 2831: 2830: 2811: 2775: 2770: 2751:Torsion tensor 2732: 2728: 2707: 2702: 2698: 2694: 2689: 2685: 2681: 2661: 2639: 2635: 2614: 2599:User:Tazerenix 2595: 2594: 2593: 2592: 2591: 2590: 2562: 2561: 2560: 2548: 2545: 2542: 2522: 2502: 2499: 2496: 2493: 2490: 2487: 2467: 2462: 2458: 2452: 2448: 2444: 2441: 2438: 2435: 2415: 2410: 2406: 2402: 2399: 2396: 2393: 2373: 2370: 2367: 2338: 2334: 2295: 2293:Torsion tensor 2290: 2263: 2257: 2256: 2255: 2254: 2253: 2217: 2213: 2212: 2211: 2191: 2180: 2155: 2154: 2153: 2125:David Eppstein 2101: 2025: 2022: 1994: 1991: 1990: 1989: 1988: 1987: 1935: 1915: 1912: 1911: 1910: 1909: 1908: 1907: 1906: 1861: 1839: 1821: 1807: 1779: 1774: 1773: 1772: 1771: 1770: 1737: 1736: 1700: 1699: 1686: 1685: 1684: 1666: 1639: 1630:flips it to a 1619: 1605: 1604: 1586: 1557: 1556: 1546: 1545: 1539: 1538: 1535: 1534: 1530: 1529: 1519: 1518: 1512: 1511: 1508: 1507: 1501: 1495: 1488: 1487: 1481: 1480: 1477: 1476: 1472: 1471: 1468: 1467: 1463: 1462: 1459: 1458: 1454: 1453: 1447: 1446: 1440: 1439: 1433: 1432: 1426: 1425: 1419: 1418: 1415: 1414: 1401: 1398: 1395: 1392: 1389: 1376: 1375: 1372: 1371: 1358: 1355: 1352: 1349: 1346: 1332: 1329: 1309: 1304: 1284: 1281: 1253: 1249:Notability of 1247: 1244: 1243: 1231: 1228: 1227: 1222: 1218: 1216: 1213: 1212: 1210: 1209: 1154: 1098: 1096: 1095: 1040: 985: 930: 875: 820: 765: 710: 655: 600: 545: 490: 435: 380: 325: 270: 215: 160: 105: 84: 83: 82: 79: 78: 75: 74: 69: 68: 61: 54: 46: 43: 37: 31: 15: 14: 13: 10: 9: 6: 4: 3: 2: 4905: 4894: 4891: 4890: 4888: 4877: 4873: 4869: 4864: 4863: 4862: 4858: 4854: 4850: 4846: 4845:WP:DABCONCEPT 4842: 4838: 4834: 4830: 4825: 4824: 4823: 4819: 4815: 4811: 4807: 4803: 4799: 4798: 4797: 4796: 4792: 4788: 4787:Michael Hardy 4784: 4780: 4776: 4772: 4765: 4761: 4757: 4753: 4749: 4744: 4742: 4738: 4734: 4730: 4726: 4722: 4714: 4711: 4708: 4703: 4702: 4701: 4697: 4693: 4689: 4688: 4687: 4683: 4679: 4675: 4674: 4673: 4669: 4665: 4661: 4660: 4659: 4658: 4654: 4650: 4644: 4638: 4634: 4630: 4626: 4622: 4618: 4614: 4610: 4606: 4598: 4596: 4595: 4592: 4591: 4587: 4585: 4584: 4572: 4569: 4568: 4564: 4562: 4561: 4554: 4550: 4549: 4548: 4544: 4540: 4537: 4534: 4532: 4529: 4525: 4521: 4518: 4517: 4513: 4511: 4510: 4502: 4501: 4500: 4497: 4494: 4490: 4486: 4485: 4484: 4483: 4480: 4479: 4475: 4473: 4472: 4461: 4458: 4456: 4455: 4452: 4449: 4445: 4436: 4432: 4428: 4423: 4422: 4421: 4417: 4413: 4409: 4408: 4407: 4406: 4402: 4398: 4394: 4386: 4382: 4378: 4374: 4370: 4360: 4356: 4352: 4347: 4344: 4340: 4336: 4332: 4329: 4326: 4324: 4320: 4310: 4306: 4302: 4298: 4294: 4293: 4292: 4288: 4284: 4280: 4277: 4273: 4272: 4271: 4267: 4263: 4259: 4258: 4257: 4253: 4249: 4244: 4241: 4237: 4234: 4231: 4227: 4224: 4220: 4216: 4212: 4206: 4203: 4200: 4195: 4194: 4193: 4189: 4185: 4180: 4176: 4172: 4168: 4164: 4163: 4162: 4159: 4156: 4151: 4147: 4146: 4145: 4141: 4137: 4133: 4129: 4128: 4127: 4123: 4119: 4114: 4113: 4112: 4108: 4104: 4100: 4098: 4095: 4092: 4088: 4087: 4081: 4080: 4079: 4075: 4071: 4067: 4063: 4059: 4055: 4054: 4053: 4049: 4045: 4041: 4037: 4036: 4031: 4026: 4022: 4018: 4014: 4010: 4006: 4004: 4001: 3998: 3994: 3993: 3992: 3988: 3984: 3979: 3975: 3972: 3969: 3966: 3964: 3961: 3959: 3956: 3954: 3951: 3948: 3945: 3943: 3940: 3938: 3935: 3932: 3929: 3928: 3926: 3922: 3920: 3916: 3912: 3907: 3906: 3905: 3904: 3900: 3896: 3892: 3888: 3880: 3878: 3877: 3873: 3869: 3865: 3857: 3851: 3847: 3843: 3839: 3835: 3819: 3816: 3810: 3807: 3804: 3796: 3795: 3794: 3793: 3790: 3787: 3780: 3778: 3773: 3768: 3765: 3764: 3760: 3756: 3752: 3745: 3742: 3739: 3735: 3731: 3727: 3723: 3718: 3716: 3713: 3710: 3705: 3701: 3693: 3689: 3685: 3681: 3677: 3676: 3675: 3672: 3669: 3665: 3661: 3660: 3659: 3655: 3651: 3647: 3643: 3641: 3637: 3633: 3629: 3625: 3621: 3620: 3619: 3615: 3611: 3607: 3604: 3600: 3598: 3594: 3590: 3586: 3570: 3566: 3562: 3558: 3557: 3556: 3552: 3548: 3544: 3530: 3526: 3522: 3518: 3517: 3516: 3513: 3510: 3505: 3501: 3500: 3499: 3495: 3491: 3487: 3486: 3485: 3481: 3477: 3473: 3469: 3465: 3464: 3463: 3459: 3455: 3451: 3447: 3442: 3441: 3440: 3437: 3434: 3429: 3427: 3424: 3421: 3416: 3415: 3414: 3410: 3406: 3402: 3399: 3398: 3397: 3394: 3391: 3386: 3381: 3378: 3377: 3376: 3372: 3368: 3364: 3361: 3357: 3354: 3351: 3350: 3349: 3346: 3343: 3339: 3336: 3331: 3327: 3324: 3320: 3318: 3315: 3312: 3307: 3303: 3299: 3298: 3297: 3293: 3289: 3285: 3284: 3283: 3279: 3275: 3271: 3270: 3269: 3265: 3261: 3256: 3254: 3250: 3246: 3242: 3241: 3240: 3239: 3235: 3231: 3227: 3221: 3217: 3213: 3209: 3205: 3201: 3196: 3192: 3188: 3183: 3182: 3181: 3180: 3176: 3172: 3168: 3167:verifiability 3152: 3141: 3134: 3130: 3123: 3120: 3112: 3108: 3104: 3100: 3096: 3095: 3094: 3091: 3088: 3084: 3083: 3082: 3079: 3076: 3071: 3068: 3067: 3064: 3060: 3056: 3052: 3048: 3043: 3040: 3036: 3033: 3029: 3028: 3027: 3026: 3021: 3017: 3013: 3009: 3003: 3002:Bianticupolae 2996: 2993: 2991: 2990: 2986: 2982: 2978: 2977: 2972: 2968: 2964: 2959: 2955:The redirect 2953: 2946: 2942: 2938: 2924: 2920: 2916: 2911: 2910: 2909: 2905: 2901: 2896: 2895: 2894: 2890: 2886: 2882: 2881: 2880: 2876: 2872: 2868: 2864: 2862: 2858: 2854: 2849: 2848: 2847: 2843: 2839: 2835: 2834: 2833: 2832: 2829: 2825: 2821: 2816: 2812: 2809: 2805: 2800: 2799: 2798: 2797: 2793: 2789: 2785: 2781: 2774: 2771: 2769: 2768: 2764: 2760: 2756: 2755:Frenet-Serret 2752: 2746: 2730: 2726: 2705: 2700: 2696: 2692: 2687: 2683: 2679: 2659: 2637: 2633: 2612: 2603: 2600: 2589: 2585: 2581: 2576: 2575: 2574: 2570: 2566: 2563: 2546: 2543: 2540: 2497: 2494: 2491: 2465: 2460: 2456: 2450: 2442: 2439: 2436: 2433: 2413: 2408: 2404: 2400: 2397: 2394: 2391: 2384:, with sides 2371: 2368: 2365: 2357: 2356: 2354: 2353: 2352: 2348: 2344: 2339: 2335: 2332: 2327: 2326: 2325: 2323: 2319: 2315: 2310: 2308: 2303: 2301: 2294: 2291: 2289: 2288: 2284: 2280: 2276: 2268: 2262: 2258: 2252: 2248: 2244: 2240: 2236: 2231: 2230: 2229: 2226: 2223: 2218: 2214: 2209: 2205: 2201: 2197: 2192: 2189: 2185: 2175: 2170: 2169: 2168: 2164: 2160: 2156: 2152: 2148: 2144: 2140: 2136: 2135: 2134: 2130: 2126: 2122: 2118: 2117:WP:COMMONNAME 2114: 2110: 2106: 2102: 2100: 2095: 2091: 2086: 2082: 2078: 2077: 2076: 2075: 2071: 2067: 2063: 2059: 2058:contradiction 2055: 2051: 2047: 2043: 2039: 2035: 2031: 2023: 2021: 2020: 2016: 2012: 2008: 2004: 2000: 1992: 1986: 1982: 1978: 1974: 1970: 1969: 1968: 1964: 1960: 1955: 1951: 1950: 1949: 1948: 1944: 1938: 1933: 1929: 1925: 1921: 1913: 1905: 1901: 1897: 1892: 1882: 1881: 1880: 1879: 1878: 1874: 1870: 1866: 1862: 1860: 1857: 1854: 1850: 1849: 1844: 1840: 1838: 1834: 1830: 1826: 1822: 1820: 1816: 1812: 1808: 1805: 1804: 1803: 1802: 1798: 1794: 1791: 1787: 1786: 1778: 1775: 1769: 1765: 1761: 1757: 1753: 1749: 1745: 1741: 1740: 1739: 1738: 1735: 1732: 1729: 1725: 1720: 1719: 1718: 1717: 1713: 1709: 1705: 1698: 1695: 1692: 1687: 1683: 1679: 1675: 1671: 1667: 1665: 1661: 1657: 1653: 1609: 1608: 1607: 1606: 1603: 1599: 1595: 1591: 1587: 1585: 1581: 1577: 1573: 1572: 1571: 1570: 1566: 1562: 1561:Michael Hardy 1555: 1554: 1553: 1551: 1544: 1543: 1542: 1537: 1536: 1532: 1531: 1528: 1527: 1526: 1524: 1517: 1516: 1515: 1510: 1509: 1505: 1502: 1499: 1496: 1493: 1490: 1489: 1486: 1485: 1484: 1479: 1478: 1474: 1473: 1470: 1469: 1465: 1464: 1461: 1460: 1456: 1455: 1452: 1451: 1450: 1445: 1444: 1443: 1438: 1437: 1436: 1431: 1430: 1429: 1424: 1423: 1422: 1417: 1416: 1399: 1396: 1393: 1390: 1387: 1378: 1377: 1374: 1373: 1356: 1353: 1350: 1347: 1344: 1335: 1334: 1330: 1328: 1327: 1323: 1319: 1315: 1308: 1305: 1303: 1302: 1298: 1294: 1290: 1282: 1280: 1279: 1275: 1271: 1267: 1263: 1259: 1258:John H. Wolfe 1252: 1251:John H. Wolfe 1248: 1240: 1235: 1230: 1229: 1215: 1214: 1208: 1204: 1200: 1196: 1192: 1188: 1184: 1180: 1176: 1172: 1168: 1164: 1160: 1159: 1155: 1153: 1149: 1145: 1141: 1137: 1133: 1129: 1125: 1121: 1117: 1113: 1109: 1105: 1104: 1100: 1099: 1094: 1090: 1086: 1082: 1078: 1074: 1070: 1066: 1062: 1058: 1054: 1050: 1046: 1045: 1041: 1039: 1035: 1031: 1027: 1023: 1019: 1015: 1011: 1007: 1003: 999: 995: 991: 990: 986: 984: 980: 976: 972: 968: 964: 960: 956: 952: 948: 944: 940: 936: 935: 931: 929: 925: 921: 917: 913: 909: 905: 901: 897: 893: 889: 885: 881: 880: 876: 874: 870: 866: 862: 858: 854: 850: 846: 842: 838: 834: 830: 826: 825: 821: 819: 815: 811: 807: 803: 799: 795: 791: 787: 783: 779: 775: 771: 770: 766: 764: 760: 756: 752: 748: 744: 740: 736: 732: 728: 724: 720: 716: 715: 711: 709: 705: 701: 697: 693: 689: 685: 681: 677: 673: 669: 665: 661: 660: 656: 654: 650: 646: 642: 638: 634: 630: 626: 622: 618: 614: 610: 606: 605: 601: 599: 595: 591: 587: 583: 579: 575: 571: 567: 563: 559: 555: 551: 550: 546: 544: 540: 536: 532: 528: 524: 520: 516: 512: 508: 504: 500: 496: 495: 491: 489: 485: 481: 477: 473: 469: 465: 461: 457: 453: 449: 445: 441: 440: 436: 434: 430: 426: 422: 418: 414: 410: 406: 402: 398: 394: 390: 386: 385: 381: 379: 375: 371: 367: 363: 359: 355: 351: 347: 343: 339: 335: 331: 330: 326: 324: 320: 316: 312: 308: 304: 300: 296: 292: 288: 284: 280: 276: 275: 271: 269: 265: 261: 257: 253: 249: 245: 241: 237: 233: 229: 225: 221: 220: 216: 214: 210: 206: 202: 198: 194: 190: 186: 182: 178: 174: 170: 166: 165: 161: 159: 155: 151: 147: 143: 139: 135: 131: 127: 123: 119: 115: 111: 110: 106: 104: 100: 96: 92: 89: 85:Earlier years 81: 80: 77: 76: 72: 67: 62: 60: 55: 53: 48: 47: 41: 36: 35: 27: 23: 19: 4768: 4620: 4616: 4605:Set theorist 4602: 4589: 4582: 4581: 4577: 4566: 4559: 4558: 4515: 4508: 4507: 4477: 4470: 4469: 4464: 4441: 4389: 4351:134.61.97.95 4339:proof theory 4335:model theory 4149: 4085: 4033: 3884: 3861: 3781: 3769: 3766: 3749:I've put up 3748: 3224: 3204:67.198.37.16 3126: 3006:— Preceding 2999: 2974: 2949: 2943:" listed at 2814: 2808:This article 2777: 2747: 2604: 2596: 2330: 2311: 2304: 2297: 2272: 2200:GalacticShoe 2085:CRGreathouse 2053: 2027: 2024:Inconsistent 2002: 1996: 1918:On pl wiki, 1917: 1890: 1846: 1842: 1824: 1783: 1781: 1760:67.198.37.16 1748:linear logic 1743: 1704:MOS:MATH#ANY 1701: 1669: 1651: 1594:GalacticShoe 1589: 1558: 1549: 1547: 1540: 1520: 1513: 1503: 1497: 1491: 1482: 1448: 1441: 1434: 1427: 1420: 1311: 1286: 1256:The article 1255: 1233: 1170: 1156: 1101: 1042: 987: 932: 877: 822: 767: 712: 657: 602: 547: 492: 437: 382: 327: 272: 217: 162: 107: 103:Sep–Dec 2004 99:Jan–Aug 2004 44: 4692:Tito Omburo 4448:Paul August 4225:fixes that. 3751:a proposal 3589:Johnjbarton 3055:Johnjbarton 2804:Hubert Bray 2780:Tom Ilmanen 2773:Tom Ilmanen 2759:Tito Omburo 2159:Johnjbarton 2054:consistency 2038:multivalued 1841:Apparently 1811:Johnjbarton 1756:mutex locks 4635:function, 4621:definition 4377:XOR'easter 4337:, whereas 4283:Dedhert.Jr 4262:Dedhert.Jr 4184:Dedhert.Jr 4171:Arithmetic 4148:Mathworld 4136:Dedhert.Jr 4030:Arithmetic 4013:Dedhert.Jr 4007:It is now 3895:Dedhert.Jr 3834:XOR'easter 3704:XOR'easter 3632:XOR'easter 3274:XOR'easter 3230:XOR'easter 3191:Hodge star 3171:XOR'easter 3103:Dedhert.Jr 2786:. Thanks! 2757:torsion. 2139:skew field 1977:Elestrophe 1959:Epsilon598 1952:Actually, 1942:reply here 1922:suggested 1829:XOR'easter 1652:vice-versa 1552:one else. 1406:0,\ldots } 1363:0,\ldots } 1318:XOR'easter 91:Motivation 4868:Trovatore 4775:Piecewise 4756:Trovatore 4707:jacobolus 4609:Piecewise 4599:Piecewise 4493:jacobolus 4427:Trovatore 4230:Isohedron 4199:jacobolus 4167:Jacobolus 4155:jacobolus 4091:jacobolus 4056:It seems 3997:jacobolus 3786:jacobolus 3738:jacobolus 3709:jacobolus 3668:jacobolus 3509:jacobolus 3433:jacobolus 3420:jacobolus 3390:jacobolus 3342:jacobolus 3323:logarithm 3311:jacobolus 3131:edits at 3099:Jacobolus 3087:jacobolus 3075:jacobolus 2915:Gererhyme 2885:Gererhyme 2838:Gererhyme 2788:Gererhyme 2580:Tazerenix 2343:Tazerenix 2279:Killarnee 2222:jacobolus 2143:Trovatore 2113:snub cube 2046:oxymorons 2042:univalent 1853:jacobolus 1728:jacobolus 1691:jacobolus 1498:questions 1492:negations 1293:Thryduulf 4887:Category 4853:D.Lazard 4814:D.Lazard 4678:D.Lazard 4664:D.Lazard 4617:function 4177:, or GA 4103:Gumshoe2 4086:MacTutor 3911:Gumshoe2 3868:Favonian 3734:parabola 3610:D.Lazard 3245:Felix QW 3020:contribs 3008:unsigned 2981:Kk.urban 2871:Gumshoe2 2853:Gumshoe2 2820:Gumshoe2 2565:Gumshoe2 2513:, where 2243:D.Lazard 2062:relation 1674:D.Lazard 1576:D.Lazard 1266:Stat3472 24:‎ | 20:‎ | 4748:WP:NOUN 4539:Brirush 4070:Phlsph7 4040:WP:ELNO 3974:2021/03 3968:2019/10 3963:2019/04 3958:2016/01 3953:2014/01 3947:2011/12 3942:2011/06 3937:2011/01 3931:2006/04 3472:T265549 3468:librsvg 3032:Toxopid 3012:Toxopid 2066:Rgdboer 2030:partial 1896:ReyHahn 1793:ReyHahn 1270:Ldm1954 1234:15 days 22:Archive 4583:BD2412 4560:BD2412 4509:BD2412 4471:BD2412 4397:Kmhkmh 4238:. See 3925:WP:RSN 3755:Tercer 3684:Tercer 3561:Tercer 3490:Tercer 3454:Tercer 3446:T40010 3405:Tercer 3367:Tercer 3288:Tercer 3260:Tercer 2652:along 2314:Idutsu 2235:domain 2121:WP:NEO 1914:Merge? 1656:Mgnbar 4808:. As 4553:Shape 4528:Shape 4444:WP:RS 4295:Yes, 4066:WP:RS 4042:#1. — 3732:, or 3450:T5593 2179:MarkH 2083:). - 2034:total 2003:Note: 1500:, and 1391:: --> 1348:: --> 16:< 4872:talk 4857:talk 4833:talk 4818:talk 4791:talk 4760:talk 4737:talk 4727:and 4696:talk 4682:talk 4668:talk 4653:talk 4543:talk 4431:talk 4416:talk 4401:talk 4381:talk 4355:talk 4305:talk 4287:talk 4266:talk 4252:talk 4188:talk 4140:talk 4122:talk 4107:talk 4074:talk 4048:talk 4017:talk 3987:talk 3915:talk 3899:talk 3872:talk 3838:talk 3759:talk 3688:talk 3654:talk 3636:talk 3614:talk 3593:talk 3565:talk 3551:talk 3525:talk 3494:talk 3480:talk 3458:talk 3409:talk 3371:talk 3292:talk 3278:talk 3264:talk 3249:talk 3234:talk 3208:talk 3175:talk 3107:talk 3059:talk 3051:edit 3016:talk 2985:talk 2919:talk 2904:talk 2889:talk 2875:talk 2857:talk 2842:talk 2824:talk 2792:talk 2763:talk 2584:talk 2569:talk 2347:talk 2318:talk 2283:talk 2247:talk 2204:talk 2176:. — 2163:talk 2147:talk 2129:talk 2119:and 2070:talk 2015:talk 1981:talk 1963:talk 1930:and 1900:talk 1891:Done 1873:talk 1833:talk 1815:talk 1797:talk 1764:talk 1712:talk 1706:. - 1678:talk 1660:talk 1650:and 1598:talk 1580:talk 1565:talk 1322:talk 1297:talk 1274:talk 1158:2024 1103:2023 1044:2022 989:2021 934:2020 879:2019 824:2018 769:2017 714:2016 659:2015 604:2014 549:2013 494:2012 439:2011 384:2010 329:2009 274:2008 219:2007 164:2006 109:2005 26:2024 4851:). 4710:(t) 4611:to 4496:(t) 4491:. – 4202:(t) 4158:(t) 4150:can 4094:(t) 4000:(t) 3983:JBL 3789:(t) 3741:(t) 3712:(t) 3671:(t) 3512:(t) 3436:(t) 3423:(t) 3393:(t) 3345:(t) 3314:(t) 3129:COI 3090:(t) 3078:(t) 2900:JBL 2331:not 2312:--- 2233:of 2225:(t) 2198::P 2123:. — 2040:or 2036:or 2032:or 1975:). 1894:.-- 1856:(t) 1744:any 1731:(t) 1694:(t) 1550:any 1207:Dec 1203:Nov 1199:Oct 1195:Sep 1191:Aug 1187:Jul 1183:Jun 1179:May 1175:Apr 1171:Mar 1167:Feb 1163:Jan 1152:Dec 1148:Nov 1144:Oct 1140:Sep 1136:Aug 1132:Jul 1128:Jun 1124:May 1120:Apr 1116:Mar 1112:Feb 1108:Jan 1093:Dec 1089:Nov 1085:Oct 1081:Sep 1077:Aug 1073:Jul 1069:Jun 1065:May 1061:Apr 1057:Mar 1053:Feb 1049:Jan 1038:Dec 1034:Nov 1030:Oct 1026:Sep 1022:Aug 1018:Jul 1014:Jun 1010:May 1006:Apr 1002:Mar 998:Feb 994:Jan 983:Dec 979:Nov 975:Oct 971:Sep 967:Aug 963:Jul 959:Jun 955:May 951:Apr 947:Mar 943:Feb 939:Jan 928:Dec 924:Nov 920:Oct 916:Sep 912:Aug 908:Jul 904:Jun 900:May 896:Apr 892:Mar 888:Feb 884:Jan 873:Dec 869:Nov 865:Oct 861:Sep 857:Aug 853:Jul 849:Jun 845:May 841:Apr 837:Mar 833:Feb 829:Jan 818:Dec 814:Nov 810:Oct 806:Sep 802:Aug 798:Jul 794:Jun 790:May 786:Apr 782:Mar 778:Feb 774:Jan 763:Dec 759:Nov 755:Oct 751:Sep 747:Aug 743:Jul 739:Jun 735:May 731:Apr 727:Mar 723:Feb 719:Jan 708:Dec 704:Nov 700:Oct 696:Sep 692:Aug 688:Jul 684:Jun 680:May 676:Apr 672:Mar 668:Feb 664:Jan 653:Dec 649:Nov 645:Oct 641:Sep 637:Aug 633:Jul 629:Jun 625:May 621:Apr 617:Mar 613:Feb 609:Jan 598:Dec 594:Nov 590:Oct 586:Sep 582:Aug 578:Jul 574:Jun 570:May 566:Apr 562:Mar 558:Feb 554:Jan 543:Dec 539:Nov 535:Oct 531:Sep 527:Aug 523:Jul 519:Jun 515:May 511:Apr 507:Mar 503:Feb 499:Jan 488:Dec 484:Nov 480:Oct 476:Sep 472:Aug 468:Jul 464:Jun 460:May 456:Apr 452:Mar 448:Feb 444:Jan 433:Dec 429:Nov 425:Oct 421:Sep 417:Aug 413:Jul 409:Jun 405:May 401:Apr 397:Mar 393:Feb 389:Jan 378:Dec 374:Nov 370:Oct 366:Sep 362:Aug 358:Jul 354:Jun 350:May 346:Apr 342:Mar 338:Feb 334:Jan 323:Dec 319:Nov 315:Oct 311:Sep 307:Aug 303:Jul 299:Jun 295:May 291:Apr 287:Mar 283:Feb 279:Jan 268:Dec 264:Nov 260:Oct 256:Sep 252:Aug 248:Jul 244:Jun 240:May 236:Apr 232:Mar 228:Feb 224:Jan 213:Dec 209:Nov 205:Oct 201:Sep 197:Aug 193:Jul 189:Jun 185:May 181:Apr 177:Mar 173:Feb 169:Jan 158:Dec 154:Nov 150:Oct 146:Sep 142:Aug 138:Jul 134:Jun 130:May 126:Apr 122:Mar 118:Feb 114:Jan 4889:: 4874:) 4859:) 4835:) 4820:) 4793:) 4781:, 4762:) 4739:) 4698:) 4684:) 4670:) 4655:) 4647:- 4631:, 4627:, 4555:. 4545:) 4433:) 4418:) 4403:) 4383:) 4357:) 4307:) 4289:) 4268:) 4254:) 4190:) 4142:) 4124:) 4109:) 4076:) 4050:) 4019:) 4011:. 3989:) 3981:-- 3917:) 3901:) 3874:) 3840:) 3814:⇒ 3761:) 3728:, 3724:, 3690:) 3656:) 3638:) 3616:) 3595:) 3567:) 3553:) 3527:) 3496:) 3482:) 3460:) 3452:. 3411:) 3373:) 3294:) 3280:) 3266:) 3251:) 3236:) 3210:) 3177:) 3143:}} 3137:{{ 3109:) 3061:) 3053:! 3022:) 3018:• 2987:) 2921:) 2906:) 2898:-- 2891:) 2877:) 2859:) 2844:) 2826:) 2794:) 2765:) 2706:θ 2701:∗ 2697:γ 2660:γ 2634:θ 2613:γ 2586:) 2571:) 2521:Θ 2486:Θ 2447:Λ 2443:∈ 2437:∧ 2401:∈ 2369:∈ 2349:) 2320:) 2309:. 2302:? 2285:) 2249:) 2206:) 2182:21 2165:) 2149:) 2131:) 2092:| 2072:) 2052:, 2017:) 1983:) 1965:) 1926:, 1902:) 1875:) 1835:) 1817:) 1799:) 1766:) 1714:) 1680:) 1662:) 1638:∃ 1618:∀ 1600:) 1582:) 1567:) 1400:… 1388:δ 1357:… 1345:ε 1324:) 1299:) 1291:. 1276:) 1205:· 1201:· 1197:· 1193:· 1189:· 1185:· 1181:· 1177:· 1173:· 1169:· 1165:· 1161:: 1150:· 1146:· 1142:· 1138:· 1134:· 1130:· 1126:· 1122:· 1118:· 1114:· 1110:· 1106:: 1091:· 1087:· 1083:· 1079:· 1075:· 1071:· 1067:· 1063:· 1059:· 1055:· 1051:· 1047:: 1036:· 1032:· 1028:· 1024:· 1020:· 1016:· 1012:· 1008:· 1004:· 1000:· 996:· 992:: 981:· 977:· 973:· 969:· 965:· 961:· 957:· 953:· 949:· 945:· 941:· 937:: 926:· 922:· 918:· 914:· 910:· 906:· 902:· 898:· 894:· 890:· 886:· 882:: 871:· 867:· 863:· 859:· 855:· 851:· 847:· 843:· 839:· 835:· 831:· 827:: 816:· 812:· 808:· 804:· 800:· 796:· 792:· 788:· 784:· 780:· 776:· 772:: 761:· 757:· 753:· 749:· 745:· 741:· 737:· 733:· 729:· 725:· 721:· 717:: 706:· 702:· 698:· 694:· 690:· 686:· 682:· 678:· 674:· 670:· 666:· 662:: 651:· 647:· 643:· 639:· 635:· 631:· 627:· 623:· 619:· 615:· 611:· 607:: 596:· 592:· 588:· 584:· 580:· 576:· 572:· 568:· 564:· 560:· 556:· 552:: 541:· 537:· 533:· 529:· 525:· 521:· 517:· 513:· 509:· 505:· 501:· 497:: 486:· 482:· 478:· 474:· 470:· 466:· 462:· 458:· 454:· 450:· 446:· 442:: 431:· 427:· 423:· 419:· 415:· 411:· 407:· 403:· 399:· 395:· 391:· 387:: 376:· 372:· 368:· 364:· 360:· 356:· 352:· 348:· 344:· 340:· 336:· 332:: 321:· 317:· 313:· 309:· 305:· 301:· 297:· 293:· 289:· 285:· 281:· 277:: 266:· 262:· 258:· 254:· 250:· 246:· 242:· 238:· 234:· 230:· 226:· 222:: 211:· 207:· 203:· 199:· 195:· 191:· 187:· 183:· 179:· 175:· 171:· 167:: 156:· 152:· 148:· 144:· 140:· 136:· 132:· 128:· 124:· 120:· 116:· 112:: 101:· 97:· 93:· 4870:( 4855:( 4831:( 4827:— 4816:( 4789:( 4758:( 4735:( 4694:( 4680:( 4666:( 4651:( 4590:T 4567:T 4541:( 4516:T 4478:T 4451:☎ 4429:( 4414:( 4399:( 4379:( 4353:( 4303:( 4285:( 4264:( 4250:( 4246:— 4242:. 4186:( 4165:@ 4138:( 4130:@ 4120:( 4116:— 4105:( 4072:( 4046:( 4015:( 3985:( 3913:( 3897:( 3870:( 3836:( 3820:= 3817:x 3811:0 3808:= 3805:y 3757:( 3702:@ 3686:( 3666:– 3652:( 3634:( 3612:( 3591:( 3563:( 3549:( 3523:( 3507:– 3492:( 3478:( 3474:— 3456:( 3407:( 3369:( 3340:– 3290:( 3276:( 3262:( 3247:( 3232:( 3206:( 3173:( 3153:n 3105:( 3097:@ 3073:– 3057:( 3030:@ 3014:( 2983:( 2939:" 2917:( 2902:( 2887:( 2873:( 2855:( 2840:( 2822:( 2815:a 2790:( 2761:( 2731:i 2727:x 2693:= 2688:i 2684:x 2680:d 2638:i 2582:( 2567:( 2559:. 2547:w 2544:, 2541:v 2501:) 2498:w 2495:, 2492:v 2489:( 2466:M 2461:p 2457:T 2451:2 2440:w 2434:v 2414:M 2409:p 2405:T 2398:w 2395:, 2392:v 2372:M 2366:p 2345:( 2316:( 2281:( 2245:( 2220:– 2202:( 2161:( 2145:( 2127:( 2096:) 2094:c 2090:t 2088:( 2068:( 2013:( 1979:( 1961:( 1939:| 1898:( 1871:( 1831:( 1813:( 1795:( 1762:( 1726:– 1710:( 1676:( 1658:( 1596:( 1578:( 1563:( 1506:, 1494:, 1397:, 1394:0 1354:, 1351:0 1320:( 1295:( 1283:≙ 1272:( 1242:. 71:) 65:e 58:t 51:v

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

Knowledge

talk:WikiProject Mathematics/Archive/2024/Mar - Knowledge

Index