Knowledge

talk:WikiProject Mathematics/Archive/2019/Sep - Knowledge

Source ๐Ÿ“

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specific term of math (which is number or statistics), isnt that we should related it to its more 'specific' WikiProject category? 'Numbers' and 'statistics' are (and always be part of) 'mathematics'. That's the idea behind it for my reason. Same case like 'country', 'geography' or 'city'; 'geography' (or WikiProject Geography) shall be the default categorization first for all of administrative divisions (e.g. town, village, state, province), unless such particular article is about a country or city, then we shall put it under WikiProject Countries or WikiProject Cities respectively (because such WikiProjects do exist), and take out the 'parent' WikiProject which is WikiProject Geography. Villages shall be put under the general WikiProject Geography because up to this moment, there is no WikiProject Villages.
5069:, trying to add references for every controversial statement and expanding stubs. In describing the branches of geometry, I had added an image for each branch. Now, the images are too big and too many to be aligned correctly, even after I deleted my image for Convex Geometry and shrank the others. I could use some expert opinion on the image layout. I haven't finished my edits (I plan on going over the applications section, and adding congruence, similarity, area and volume to the 'main concepts' section), but they shouldn't involve as many images. Thanks! 4974:". An image given as an example of a fractal antenna design is labelled as a "Minkowski Island". Currently the term is in bold because the redirects indicate that it is a topic. However, an article about a subspecies of doves should probably redirect to an article about doves and not to an article about bird-shaped objects. It would be beneficial if an appropriate article was created to explain the Minkowski fractal, or if the redirects led to an article which explained the Minkowski fractal. The image is titled 4932: 4914: 5209: 40: 3771:. In the process, I've added several figures and tables, and almost doubled the size of the entry. I've tried to be careful and check for errors, but I would appreciate it if someone would look it over for mistakes, especially stray sentences from copy-and-paste or errors in the tables. If you feel any additions or removals are inappropriate, I can revert them. Thanks for the advice given above, it was extremely helpful. 3309: 3278: 3263: 3244: 3219: 3204: 3185: 3162: 3139: 3124: 3105: 3078: 3059: 3036: 3021: 3006: 2991: 2976: 2961: 2946: 2931: 2916: 2901: 3637:, although it needs many improvements (cosmetic, IMO) for being labeled GA. On the other hand, article on fundamental concepts must allow the reader to find the technical details that he needs, such as a formula that he has learnt and forgiven, or a related concept that he has heard about. This is in this spirit that I have recently edited 3633:. Articles on areas must explain the motivations, the history, the limits of the area (when there is a consensus for that), and the relations with other areas. The objective is that a reader can gets an idea of the subject and find easily the related technical articles that he may need. An example of a very good such article is 1370: 3526:
The page still looks skimpy, however, and I feel that more could be added (maybe separate sections on the properties of the graphs, on inverse functions, and perhaps fourier series/analysis?). I've been looking at other pages for inspiration, but I found to my surprise that no 'branch of mathematics'
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In one statement derived from the original, it was to find up to an isomorphism all geometries that have an axiomatic system of classical geometry (Euclidean, Hyperbolic and elliptic), with those axioms of congruence that involve the concept of the angle dropped, and `triangle inequality', regarded
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In one statement derived from the original, it was to find up to an isomorphism all geometries whose axioms system of the classical geometry (Euclidean, Hyperbolic and elliptic) if we drop the axioms of congruence involving the concept of the angle and add the systems with the `triangle inequality'
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From what I have found, generally there are WikiProject Mathematics ('math banner' or 'math rating'), WikiProject Statistics and WikiProject Numbers which are highly inter-related to each other. Whenever it is related to math in general, we shall use math banner or math rating, but if it is a more
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in the sense of a collection of open sets, at least to distinguish it from topology as a discipline. Topology as a discipline is arguably still a concept. I think a better word would be "object" โ€” the collection of open sets notion is a type of mathematical object, whereas the discipline is not
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The word "isotopy " refers to the deformation of the string. The word "ambient" refers to the fact that the string is being deformed through the three-dimensional space that it sits in. Note that in an ambient isotopy, we are not allowed to shrink a part of the knot down to a point, as in Figure
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for the less important formulas. However, the maintenance of such fundamental articles is a true problem, because of the numerous good faith editors who want to add their preferred minor aspect of the subject. For example, since my edits, a section on the expansion of trigonometric functions as
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and would like to create some pictures illustrating some computations of pi_1's. For example, I would like to quickly illustrate the usage of the Seifert-van Kampen theoren by (schematically) drawing a genus 2 surface, and some loops on it, together with labelling and coloring the objects (so,
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Maybe "bachelor" rather than "batchelor"? Justin Roberts's discussion (your third link) is very nice. A less rigorous, more sociological explanation for why continuous deformations are the wrong idea is that no one would ever have introduced ambient isotopies into knot theory if continuous
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One possibility is to replace the phrase "covariants and invariants" with the phrase "invariant theory". (If there were a reference attached to this statement in the article then I would worry about accurately representing it, but since there is none ....) Also pinging the article author
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Secondly, surprisingly (and catastrophically), the way we have defined equivalence actually causes all knots to be equivalent to one another! โ€œGradually pulling the string tightโ€ so that the knot shrinks to a point is a perfectly good continuous deformation between any knot and the
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So I wanted to get some consensus before acting. What should 'big topic' articles like this cover? Is there any thing that you feel is necessary or standard for such articles? Is there any particularly good article in a related field that could be used as a template or inspiration?
3625:. I completely agree with Mark viking's comments. A large part of my Knowledge activity is devoted to improve in this way fundamental articles of Knowledge (See my user talk for some of my main edits). IMO, we must distinguish articles about an area of mathematics, such as 2780:
I'm not too concerned that the authors have plagiarized this. My real question, though, is, would it be appropriate to use this book as a source for the whole list (as I've done for now), or would it be better to find sources that aren't plagiarized from Knowledge itself?
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Okay, I fixed it. I did not use ff after all, because I didn't realize it meant 'multiple pages', and when I found references, my technique was to find the exact page that had the quote I wanted, so it shouldn't need the subsequent pages. I changed it to single pages.
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which maps functions on a topological space to functions, in such a way that the value of the output function at a given point cannot be determined solely from the values of the input function in any neighbourhood of any point. An example of a nonlocal operator is the
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I'm going to stay polite, but please don't ask thanks for this rather aggressive pointing out of a perfectly correct (if maybe not optimal) edit that did not satisfy your opaque standards, and let me add that I have no idea what a green point is nor any desire to
3582:. Is there anything interesting about how trig has been or is currently taught? For applications, something more than just a long list of fields that use it might be good. Are there some particularly notable uses, maybe something from navigation or surveying? -- 3644:). In particular, other trigonometric functions than sine, cosine, and tangent are rarely used, except, maybe, in teaching; therefore, my edits limit the formulas given in the article to the most useful formulas relating sine, cosine, and tangent and refer to 5273:
I use Asymptote (unless the illustration is just a diagram); it takes time, but it gives nice results. Much better than PSTricks (that I used before; PostScript and MetaPost were beyond my patience). Especially on EoM; there a wikitext may contain <asy:
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Boolean algebra (count noun, the structure) versus Boolean algebra (mass noun, the equational style). I fought the good fight on that point many years ago, with a somewhat unsatisfactory outcome, because of a participant with unusual foundational views.
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for all that. What is the intended division of labor between the two articles? Is there a substantial body of knowledge specific to quadratic integers? The presence of reliable sources in that article suggests so, but I haven't examined them closely.
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Thus "any" can be universal in some contexts ("Anyone can do that.") and existential in others ("There isn't any." or "If anyone can run a 50 meters in three seconds, it's Usain Bolt.") The contexts in which it becomes existential seem to be these:
3721:, then one can reasonably include it. If a topic does not appear, then one cannot reasonably exclude it. (The same problem exists for other sources and for combinations of sources.) So the discipline of topology has to be "defined" using examples. 2694:, a covariant is something like a linear (multi-linear, polynomial) map that is invariant under the given group action. The basic idea is that you get more flexibility by working with maps not elements; i.e., you get more invariants to work with. ( 1288: 5084:
If you're looking for more room, the "Geometry lessons in the 20th century" image looks superfluous. And in the computational geometry section, a problem we can't solve with an efficient algorithm seems an odd choice for the illustration.
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I have collected another batch of articles containing math(s)-related links to DAB pages which would benefit from expert attention. Search for 'disam' in read mode, and for '{{d' in edit mode; and if you solve one of these puzzles, post
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https://books.google.com/books?id=bENTBQAAQBAJ&pg=PA10&dq=trigonometry+audio+synthesis&hl=en&sa=X&ved=2ahUKEwjjtYeVgMzkAhUEt54KHXpECH4Q6AEwAHoECAYQAg#v=onepage&q=trigonometry%20audio%20synthesis&f=false
4986:, and the "Koch snowflake" article contains a quadratic variant of the Koch curve labelled as the 'Minkowski Sausage', so one or both of the articles "Vicsek fractal" and "Koch snowflake" should probably contain the explanation. 3558:. It takes pains to be readable and concrete near the start of the article, but doesn't shy away from the more advanced topics later on. For trig, some ideas: I guess one of the first things to do is to figure out what goes in 3899: 5276:; how nice: no separate file, no separate copyright, and anyone may look at the code, and change it "wiki-wiki"! (Well, anyone who knows Asy; but also our TeX code needs to be known...) My best example is 3909:
to convert google book links to Knowledge citations. It had a few other idiosyncracies that I had to address (like using a non-existent 'coauthors' tag). I'll see if I can convert the page ranges to ff's!
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Edit: The article itself isn't complete. As mentioned by someone else, it could use an overview of spherical/hyperbolic geometry. I'm not too familiar with spherical trigonometry, so I didn't attempt it.
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I agree with David Eppstein (and this is also what I would do when actually writing a LaTeX document, i.e., I would type "... by the $ \varepsilon$ --$ \delta$ definition ..."). The title of the article
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so that a universal quantifier in the writer's mind becomes an existential quantifier in the reader's mind. Merely writing "every" instead of "any" at the outset is all it takes to obviate this hazard.
5330:"; there I was forced to create figures (unlike EoM), while the Asy code remains on my home computer (regretfully; ask me if you want to see it), and the corresponding SVG files are stored on Commons. 3554:
You raise good questions. I think it is quite a challenge to be comprehensive, readable by non-experts and a reasonable length all at once for articles on general topics. One general article I like is
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to address some of the problems it had in its GA review. In particular, much of it was unsourced or OR. I've been going through and deleting unsourced assertions and adding sources to everything else.
63: 1293: 2816:. (Their preface credits Knowledge, so this might count as properly-credited use of CC materials rather than straight-up plagiarism, but it makes no difference for its usability as a source.) โ€” 5348:
I could help make the picture, if you'd be willing to delegate and had a sketch I could work from. I have some experience using Illustrator (and have a subscription for it) from my hobbies.
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If I've opened up a smallish can of worms, I'm delighted. WP is full of holes where readers can't find easily, or can't find exactly, what they need, and every one filled is an improvement.
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If you're asking/telling about the more general issue of imprecision in natural languages, then I'm not sure what the resolution is. Formal logic exists exactly to avoid that imprecision.
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is a form in the same variables, with coefficients polynomials in the coefficient of the given form, which is similarly invariant. For example, an invariant is a covariant of degree 0.
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I fail to find there any interest to transfinite numbers. Thus, I'd say, it is THEIR decision, to treat "number" as "finite number". I just respect their (quite reasonable) decision.
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Thanks! I did some spot-checking and fixed a couple other glitches that were probably due to Google Books metadata weirdness. I'll try to check the page over more thoroughly soon.
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I work on the assumption that mathematicians will be the people best-placed to determine the specific concepts which physicists, engineers, and the like have borrowed and misused.
4416:(I agree with your comment there, incidentally -- Daqu was right about the error, the most recent comment looks wrong. But it is all moot as far as the article is concerned.) -- 1406:
In our not-really-LaTeX system, this makes two hyphens appear. In genuine LaTeX, it would make an en-dash appear. In the non-TeX occurrences of this phrase in the article titled
4690:(or "batchelorโ€™s isotopy")! Google this, and you'll find easily a lot of required sources. So, I stop here; the problem is solved. (Should we create an article on this idea?) 4105:
As a moderately active member of both projects, I don't remember any discussion of infinite numbers in the WikiProject Numbers page or notability guidelines. I don't believe
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That's exactly how I do it in actual LaTeX. I always hesitate to mix TeX with non-TeX notation in Knowledge because of the many times they have failed to fit together well.
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infinite products has been added. IMO, such a section is confusing, and must be replaced by a simple link, as it gives too much emphasis on a non-fundamental result.
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Thanks for all your help and to Narky Blert for finding the problems. It looks as if the one unfixed link needs a physicist or engineer rather than a mathematician.
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I completely agree, and what I was saying is that rules for a good article (answer to the question in the heading) are different for disciplines and for concepts.
5372: 5232:(as was used in the illustration to the right) as a free alternative to illustrator. If you need the precision of a CAD program (e.g., dimensioning), I have used 4442:
Do you not need to require that the first (directional) derivative of the curve be continuous? I think that would be impossible if you just shrink it to a point.
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No, I don't think so: in the 2 years since the first comments were made, the caption has been changed and now does not suffer from the problem discussed there. --
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Just why the initial letter in "hyperbolic" should be capital while that in "elliptic" is in lower case is unclear. Or to put it more bluntly, it shouldn't be.
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My knee-jerk reaction was, "This topic is basically (integers in) quadratic number fields, which are extremely important." But then I realized that we have
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Should we eschew our not-really-LaTeX software altogether for these occasions, or should we use one of the options above, or should we compromise and write
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There was a section marked with 'more sources needed'. This sections was the 'applications' section, which has largely been unchanged since at least 2007:
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The second form is with a minus sign enclosed in {curly braces} so the spacing appropriate when it is used as a binary operation symbol does not appear.
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As โ€œnot very different fromโ€ย โ€“ false, they are algebraic numbers and โ€œintegersโ€, after all. These facts are completely obscured after D.Lazardโ€™s edits.
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Yet another occasion arises whose understanding requires one to realize that the "LaTeX" we use here is (many would say "obviously") not actual LaTeX.
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are given as the first half of a range. Surely this doesn't mean that the entire rest of the book after that page number is the relevant part. Would
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The new redirect is the only occurrence of the noun "covariant" in the dab page. This suggest creating a stub based on Wiktionary definition, called
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suffices. 2/ Testing whether a quadratic integer is the square of a quadratic number, and, if yes, computing the square root. This is considered in
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I'd also suggest you refrain from insulting people for petty motives. If you want to discuss math leave a message on the talk page of the article.
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Finally, yes, there is adjective โ€œcovariantโ€ as in โ€œcovariant functorโ€ and that has to be distinguished from. (So the disambig page is needed). โ€”
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is a set of subsets satisfying certain axioms. However, mathematical disciplines are ill-defined and overlapping. For example, the discipline of
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The problem is that the definition given there is not understandable for most readers, and does not correspond to the usual definition (that of
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At the risk of putting words into D.Lazard's mouth, let me say it another way. Mathematical concepts have precise definitions. For example, a
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The solution that seems most obvious to me, to get an honest en-dash between the two symbols, is to go outside of math to do it. <math: -->
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I could have sworn I hard tried \text{โ€“} (with an actual en-dash) and that the result was an error message, but apparently it actually works.
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Agreed. And the citation process for the two is a bit different. For the concept of topology, one can cite the definition from Munkres' book
2910: 2393:. The problem is that I have not found any mention of such a covariant in English Wikepedia. Do someone has an idea for solving the problem? 1206: 1202: 1198: 2362:, which any person who supports the group's goals is welcome to join. As of a few weeks ago, the group is one of the officially recognized 5249: 4510: 4131:
The usual practice with project banners is to use all applicable ones, not to try to decide which is most applicable and use only that. โ€”
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of a form in two variables is an invariant. An invariant of GL(n) (or of a subgroup) is a polynomial in the coefficients of the form. A
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What occasion could there be to write "square root of integers" rather than "square roots of integers" or "square root of an integer"?
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This topic is not in my expertise, but isn't there an extra quantification? Shouldn't the "of any" be changed to "the" or "the given"?
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The computation of (approximations of) square roots of integers is not very different from that of real number, and belongs thus to
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Thanks for your edits! A minor thing I noticed: the Munkres book is listed in the references twice (currently numbers 52 and 109).
2005:, and many others are more specific to quadratic integer rings than to quadratic fields, even if these properties are described in 3645: 3053: 2541:, that links to the redirect and contains a copy of dictionary definition. However, some questions deserve a further discussion; 2296: 1619: 1407: 4792:
of continuously differentiable embeddings, then the situation should be different. But differentiability is never mentioned in "
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in โ€œalmost complex manifoldโ€. Please, look at a whole article, not only to narrow context. Donโ€™t make job to earn green points.
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So there exist more useless redirects from grammatically-faulty titles? Interesting, but not a good choice to use as a model. โ€”
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I agree. At least, the old version of the lead deserves to be immediately restored, although it could also be clarified.
3992:) removed the {{Maths banner}}. Apparently, he believes that {{WikiProject Numbers}} is sufficient. Is that appropriate? 2699: 2584: 2530: 2529:, which is more general (not restricted to binary forms) and perfectly accurate. Therefore, I have created the redirect 2371: 5357: 5353: 5339: 5317: 5264: 5221: 5203: 5168: 5126: 5108: 5094: 5078: 5051: 5036: 5013: 4995: 4876: 4862: 4844: 4805: 4699: 4681: 4661: 4640: 4618: 4524: 4481: 4451: 4425: 4403: 4385: 4370: 4348: 4310: 4264: 4250: 4214:
As I am not a professional, I would like to have an expert opinion before editing the article. Thank you in advance! --
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This turns out to not be the correct notion of equivalence for knots - it would force all tame knots to be equivalent!
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This is a Springer book where the authors have just copied and pasted the Knowledge section, rearranging a few items.
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heavily overlaps with geometry, analysis, algebra, etc. And Knowledge should explain both concepts and disciplines.
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to an invariant of a binary form is a good idea. I will make a library trip to find some refers (and do some edits).
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Can someone give advice what software is useful for creating mathematical illustrations? I am currently working on
5117:. I'd love if people looked it over and made any changes they see fit, or fix anything they feel I did incorrectly. 2609: 2522: 1499: 5217: 5199: 4230: 4152:. As a fairly active member of both WPM and WPN, I don't think the charter of WPN includes infinite numbers. โ€” 3173: 3150: 3047: 2638: 2557:
The fact that it vas so difficult to find this definition shows that a reorganization is needed for interlinking
2698:, I think, gives probably the most general definition of covariants.) So, given this, I donโ€™t think redirecting 1740:
Occasionally I think English-speaking mathematicians are not attentive enough to nuances of the use of the word
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If the "LaTeX" code uses a hyphen, then the first form above is seen, with a minus sign rather than a hyphen.
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I was going through and sourcing each 'application' one at a time, when I found a book that had all of them:
2192:. Now one canโ€™t easily infer that square roots of integers are algebraic integers. Nor can the reader access 5349: 5150: 4872: 4840: 4421: 4381: 4277: 4246: 3717:. For the discipline of topology, which topics can be included and excluded? If a topic appears in Munkres' 3638: 3630: 3563: 2895: 2838: 2492: 2367: 2278: 1941: 1912: 1650: 1627: 1550: 1475: 2655:(I have added an explanation on the notation as well as to a link to the article giving the definition. -- 4477: 4306: 4156: 4113: 3571: 3272: 2713: 2660: 2512: 1998: 1723: 4472:
Feel free to find a verifiable source supporting your claims, if I am not to be considered as an expert.
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I think it's definitely better not to use sources that plagiarized from Knowledge (or from elsewhere).
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Generally speaking, Knowledge is still weak in invariant theory topics (I donโ€™t need to tell you why).
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tag when saying โ€œฮตโ€“ฮดโ€ which is essentially a human-language shorthand, not a scientific notation. But
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Isnโ€™t the usefulness of prime factorization to compute many of square roots of integers important?
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in June. Probably those edits deserve some scrutiny (for English language usage at a minimum). --
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is only semi-active now. Also, statistics isnโ€™t universally considered a branch of mathematics. โ€”
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I tried removing those two and it fixed the issue. Thank you, it completely resolved my problem!
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Hi! The second sentence in this article in its current form seems to be somewhat mangled for me.
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I think that ordinals are relevant to Mathematics generally, not merely to the Numbers project.
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on every imaginable pretext. Under a dire need to say โ€œฮตโ€“ฮดโ€ under LaTeX math mode one can say
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topology (count noun) is a mathematical object, whereas topology (mass noun) is a discipline.
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actually has a fairly well-developed one, with just a few citations that need to be added. โ€”
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in the previous thread: the link to a dab page is clearly intended to refer to covariants of
5335: 5313: 5301: 5255: 5132: 5047: 4959: 4850: 4801: 4695: 4677: 4657: 4636: 4614: 4520: 4399: 4366: 4096: 4070: 4015: 3944: 3891: 3819: 3726: 3690: 3585: 3480: 3462: 3450: 3428: 3396: 3344: 3320: 3156: 2955: 2849: 2799: 2671: 2642: 2590: 2562: 2558: 2463: 2390: 2335: 2300: 2227: 2211: 2202: 2193: 2161: 2074: 2046: 2028: 1994: 1984: 1960: 1930: 1683: 1665: 1586: 1540: 1525: 1450: 1221: 1219: 39: 3629:
from articles about the fundamental concept(s) that are the basis of such an area, such as
3535:, etc. are all below GA quality, and have some of the same problems that trigonometry has. 4971: 4955: 4920: 4238: 3380: 3238: 2006: 1975: 5277: 5194:
nothing fancy). And of course the software should be free to use. Thanks for any advice.
4079:
WikiProject Numbers has been concentrating on articles about integers by removing cruft (
2561:
and all related articles. When this will be correctly done, it will probably appear that
5208: 1417:
Use of an actual en-dash in the not-really-LaTeX code results only in an error message.
5281: 4983: 4979: 4938: 4606:
is PL isotopic to the unknot, but is not necessarily PL ambient isotopic to the unknot.
4443: 4336: 4332: 4328: 4317: 4173: 4149: 4030: 3996: 3979: 3969: 3849: 3829: 3741: 3498: 3410: 3030: 3015: 2735: 2482: 2143: 1392:
The third has this: \varepsilon\text{-}\delta. This causes an honest hyphen to appear.
1264: 4978:, which implies that "Minkowski island" is an alternate name for the Vicsek fractal. " 4849:
I haven't tracked down an explicit reference, but this seems likely to be named after
2399: 2138:). For that, no better algorithm is known than prime factorization. So a few lines in 5366: 5005: 4987: 4358: 4340: 4256: 4172:. I do not feel qualified to do that since I am not a member of the numbers project. 3700: 3650: 3634: 3409:
Notice that Incnis Mrsi has been blocked for one month by Rschen7754 for incivility.
3303: 3290: 3257: 3198: 3118: 3086: 2885: 2613: 2570: 2440: 2249: 2175: 2147: 2063: 2010: 4083:), improving navigation templates and promoting their existence. Three years ago, 3735:
This is maybe a bit of a quibble, but I don't think "concept" is the right word for
5160: 5118: 5100: 5070: 5024: 4048: 3930: 3911: 3883: 3879: 3778: 3768: 3626: 3622: 3608: 3604: 3567: 3559: 3540: 3520: 3179: 3133: 2970: 2859: 2784: 2757: 2429: 5228:
I don't think there is a definitive answer. For SVG illustrations, I tend to use
4625: 5331: 5309: 5043: 4797: 4691: 4673: 4653: 4632: 4610: 4516: 4395: 4362: 4092: 4066: 4011: 3815: 3722: 3686: 3446: 3424: 2845: 2245: 2088: 1980: 1956: 1926: 1717: 1679: 2844:
to the articles, to prevent them being flagged as copy violation by Knowledge.
5237: 2605: 2526: 2363: 3494: 3072: 4506:(to Quantum Knot) Such sources surely exist; can someone help to find them? 2439:
What precedes is clearly not sufficient, even for a stub. Again, any idea?
5236:
before and it was OK for my simple needs. Real programmers use tools like
4530: 3459:
Fixed the last one; it was referring to charge transfer in a CT complex --
1895:
Conditional clauses: "If there is any money left, donate it to Knowledge."
1770:
since in some contexts this might mean every number at the same time. But
5245: 5241: 5229: 5114: 5066: 5059: 4793: 4106: 3677: 3532: 3233: 3099: 2240:
No redirect is needed for saying that the square roots of an integer are
5233: 3528: 2765:
https://en.wikipedia.org/search/?title=Trigonometry&oldid=122379664
2565:
would need a complete rewrite, with possibly some merges and or splits.
2330:
highly probably speaks English better than me by a large margin, hence
2812:
More definitively, Knowledge policy prohibits using such sources. See
1955:? Is a separate article warranted? If no separate, then my proposal, 2424:
variables (that is, its coefficients are indeterminates). The group
1802:
Maybe this point is clearer if one thinks of the difference between
3523:, focusing on organization and on removing OR and adding sources. 1490:
know that many users stuck to LaTeX notation and call <math: -->
5207: 4299:
Knowledge:Village pump (proposals)#Proposal to delete Portal space
3887: 2425: 3479:(I'm an organic chemist. I'm allowed to say that sort of thing.) 4950:
Talk:Fractal antenna/Archive 1 ยงย Minkowski island/Vicsek fractal
4088: 3963:
Regarding the mathematics banner of the Category:Ordinal numbers
3493:
Am engineer. Can agree, borrow and misuse math all the time. --
3906: 3740:(and indeed has no precise mathematical definition at all). -- 2752:
Using a book that plagiarized Knowledge as a Knowledge source?
1224: 33: 3603:
A detailed history section is a major plus! Edit: I see that
3515:
What should an article for a branch of mathematics look like?
2226:
thing is also removed, but it was not directly a D.โ€™s fault.
2487:
to this discussion; possibly they can share some insight. --
2095:
that are not there in any version: 1/ Computing the largest
1957:
square root #Principal square roots of the positive integers
4669:
Remark 1.5. All knots are trivial under continuous isotopy.
2219:, at least not in reasonable proximity of the request. The 1899:
How shall we apply this to the two occurrences of the word
1889:
Negative sentences: "I've never seen any examples of that."
5212:
An example for the kind of illustration I want to create.
4785:{\displaystyle \mathrm {Emb} ^{1}(S^{1},\mathbb {R} ^{3})} 1664:
is probably what I'd do in an actual LaTeX document, too.
4084: 5145:
That seemed easy enough to fix, so I made a go at it. --
2385:
There is a problem with the disambiguation required for
4234: 3642: 3339: 2764: 2587:
has 42 uses of the term and and entry for covariant. --
2550:, and with a hatnote like "for the adjective uses, see 2546: 2069: 1952: 5023:
I noticed that the Mathematics page doesn't appear on
2188:
Before the deletionist strike the topic redirected to
5025:
https://en.wikipedia.org/Category:Active_WikiProjects
4982:" does mention that the boundary is a variant of the 4732: 4570: 4538: 2428:
acts on the form by linear changes of variables. The
2402: 2109: 1589: 1569: 1502: 1485:
The solution is obvious: not to use the <math: -->
1453: 1433: 1291: 5159:
I appreciate both of you checking this out. Thanks!
4164:
To Arthur: Then remove {{WikiProject Numbers}} from
2521:
I have found two definitions of a covariant; one in
1603:. I don't see how that is in any way a compromise. โ€” 4853:, who studied knotted vortices in fluid dynamics. โ€” 2462:miss something? Forms are tensors of special form. 2045:which is important for 5-fold rotational symmetry. 4784: 4598: 4556: 2408: 2130: 1595: 1575: 1516: 1459: 1439: 1364: 3570:, which is really about plane trigonometry, with 1399:The fourth has this: \varepsilon\text{--}\delta. 3828:I find that a useful proxy is whether you use a 1764:This function can take every number as an input. 1622:suggests another (non-dash-based) resolution. -- 3882:The page numbers in a lot of the references in 5328:v:WikiJournal_of_Science/Spaces_in_mathematics 2537:by using this redirect, and added an entry in 1752:This function can take any number as an input. 5185:How do you create mathematical illustrations? 5042:I've added the project page to the category. 4726:(to JRSpriggs) Sure, if we work in the space 3379:The standards arenโ€™t in fact โ€œopaqueโ€, it is 2396:Here is what I remember on this subject: Let 1951:. What to do with the topic now, in light of 1870:into whatever is blah blah blah then etc.etc. 1854:into whatever is blah blah blah then etc.etc. 1838:into whatever is blah blah blah then etc.etc. 1820:"Every member can preside over this meeting." 1517:{\displaystyle \varepsilon {\text{โ€“}}\delta } 1232:This page has archives. Sections older than 57: 8: 4087:was the title of the article about the year 4081:77 is the shirt number of Joe Minor-Leaguer 2858:Thanks to both of you, this is very clear. 2583:We already have definitions in a glossary; 1808:"Any member can preside over this meeting." 4233:. That is, indeed, incomprehensible. It 3519:As I mentioned above, I've been reworking 1949:WP:Articles for deletion/Square root of 10 64: 50: 4773: 4769: 4768: 4758: 4745: 4734: 4731: 4599:{\displaystyle S^{1}\to \mathbb {R} ^{3}} 4590: 4586: 4585: 4575: 4569: 4537: 4354:Pull the knotted part of the curve tight? 2401: 2131:{\displaystyle \mathbb {Q} ({\sqrt {d}})} 2118: 2111: 2110: 2108: 1834:If it is the case that any function from 1588: 1568: 1506: 1501: 1452: 1432: 1350: 1333: 1316: 1292: 1290: 5322:Also, you may look at illustrations in " 5113:Also, I am now finished contributing to 4205:Maybe this rewriting could be adequate: 3810:is a class of mathematical objects, and 4976:File:6452553 Vicsek Fractal Antenna.png 3229:Two-dimensional electronic spectroscopy 1494:\varepsilon\text{โ€“}\delta</math: --> 88: 4237:different, before a spate of edits by 4191: 4109:is tagged with WikiProject Numbers. โ€” 4080: 3839:This is by the way the distinction we 1661: 18:Knowledge talk:WikiProject Mathematics 5373:WikiProject Mathematics archives/2019 4649:1.20, in order to be rid of the knot. 2730:for pinging me. I am happy with what 2360:m:Wikimedia Community User Group Math 2146:and would deserve to be linked here. 1892:Questions: "Is there any money left?" 7: 5275:some code for Asymptote</asy: --> 5250:Asymptote (vector graphics language) 3621:Thanks for the work already done on 3395:, although it can become moot soon. 2911:Chern's conjecture (affine geometry) 2099:of an integer (that is the smallest 5252:, but that can be a lot of work. -- 5019:Not in Active WikiProjects category 4954:There are currently redirects from 3289:, and to edit the linked dab page) 2633:wouldnโ€™t call a subminimal stub an 1844:That is in danger of being read as 1492: 4741: 4738: 4735: 4145:I don't think WikiProject Numbers 3767:I've now completed my revision of 2023:Integers are important far beyond 45:WikiProject Mathematics archives ( 32: 3566:. One might compare and contrast 2174:Which edit(s) obscured anything? 1236:may be automatically archived by 4930: 4912: 4192:Hilbert's fourth problem article 3646:List of trigonometric identities 3307: 3276: 3261: 3242: 3217: 3202: 3183: 3160: 3137: 3122: 3103: 3076: 3057: 3054:Meta learning (computer science) 3034: 3019: 3004: 2989: 2974: 2959: 2944: 2929: 2914: 2899: 2876:Articles with links to DAB pages 2297:Special:PrefixIndex/square roots 1796:into whatever is blah blah blah. 1780:into whatever is blah blah blah. 1704:A question about English grammar 1470:or should we do something else? 38: 4564:this is not so: e.g., any knot 4327:on the suggestion of splitting 4010:Sure! I've restored WPM there. 3340:to edit after a substandard fix 3285:(needed to create the redirect 3069:Michael Roberts (mathematician) 2926:College Scholastic Ability Test 2535:Michael Roberts (mathematician) 2387:Michael Roberts (mathematician) 2293:square root of negative numbers 2027:, if only due to such rings as 5358:15:09, 26 September 2019 (UTC) 5340:20:27, 24 September 2019 (UTC) 5318:20:11, 24 September 2019 (UTC) 5265:18:04, 24 September 2019 (UTC) 5222:17:37, 24 September 2019 (UTC) 5204:17:36, 24 September 2019 (UTC) 5169:12:54, 26 September 2019 (UTC) 5155:11:00, 26 September 2019 (UTC) 5141:02:33, 26 September 2019 (UTC) 5127:20:10, 25 September 2019 (UTC) 5109:16:55, 25 September 2019 (UTC) 5095:16:27, 25 September 2019 (UTC) 5079:16:17, 25 September 2019 (UTC) 5052:10:49, 25 September 2019 (UTC) 5037:01:37, 25 September 2019 (UTC) 5014:21:43, 24 September 2019 (UTC) 4996:04:08, 14 September 2019 (UTC) 4877:11:11, 24 September 2019 (UTC) 4863:21:00, 20 September 2019 (UTC) 4845:20:13, 20 September 2019 (UTC) 4806:10:02, 20 September 2019 (UTC) 4779: 4751: 4700:11:57, 20 September 2019 (UTC) 4682:11:52, 20 September 2019 (UTC) 4662:11:45, 20 September 2019 (UTC) 4641:11:30, 20 September 2019 (UTC) 4619:10:24, 20 September 2019 (UTC) 4581: 4525:10:13, 20 September 2019 (UTC) 4482:08:32, 20 September 2019 (UTC) 4452:07:55, 20 September 2019 (UTC) 4426:20:47, 19 September 2019 (UTC) 4404:19:49, 19 September 2019 (UTC) 4386:19:28, 19 September 2019 (UTC) 4371:18:49, 19 September 2019 (UTC) 4349:10:26, 24 September 2019 (UTC) 4311:08:55, 23 September 2019 (UTC) 4297:portals. The discussion is at 4282:21:46, 18 September 2019 (UTC) 4265:13:49, 17 September 2019 (UTC) 4251:12:00, 17 September 2019 (UTC) 4224:11:17, 17 September 2019 (UTC) 4182:09:45, 17 September 2019 (UTC) 4170:Category talk:Cardinal numbers 4160:17:55, 16 September 2019 (UTC) 4141:17:56, 15 September 2019 (UTC) 4117:17:30, 15 September 2019 (UTC) 4101:11:37, 15 September 2019 (UTC) 4075:10:30, 15 September 2019 (UTC) 4057:10:18, 15 September 2019 (UTC) 4039:10:03, 15 September 2019 (UTC) 4020:09:21, 15 September 2019 (UTC) 4005:05:34, 15 September 2019 (UTC) 3953:23:58, 14 September 2019 (UTC) 3939:23:03, 14 September 2019 (UTC) 3920:22:53, 14 September 2019 (UTC) 3900:18:40, 14 September 2019 (UTC) 3858:21:29, 13 September 2019 (UTC) 3824:20:44, 13 September 2019 (UTC) 3787:19:43, 13 September 2019 (UTC) 3750:19:56, 13 September 2019 (UTC) 3731:16:34, 13 September 2019 (UTC) 3709:12:23, 13 September 2019 (UTC) 3695:12:16, 13 September 2019 (UTC) 3659:09:45, 13 September 2019 (UTC) 3617:07:03, 13 September 2019 (UTC) 3595:03:52, 13 September 2019 (UTC) 3549:02:42, 13 September 2019 (UTC) 3503:20:20, 13 September 2019 (UTC) 3489:19:37, 13 September 2019 (UTC) 3472:07:37, 12 September 2019 (UTC) 3455:12:22, 11 September 2019 (UTC) 3433:04:45, 12 September 2019 (UTC) 3419:03:06, 12 September 2019 (UTC) 3405:11:51, 11 September 2019 (UTC) 3391:, then he can leave a message 3375:11:15, 11 September 2019 (UTC) 3287:primitive element (free group) 3214:Studentized range distribution 3095:09:45, 10 September 2019 (UTC) 2986:Fractional quantum Hall effect 2868:01:37, 13 September 2019 (UTC) 2854:20:24, 12 September 2019 (UTC) 2826:20:18, 12 September 2019 (UTC) 2808:20:17, 12 September 2019 (UTC) 2793:19:33, 12 September 2019 (UTC) 2744:21:43, 12 September 2019 (UTC) 2718:23:09, 10 September 2019 (UTC) 2680:21:17, 10 September 2019 (UTC) 2665:00:19, 11 September 2019 (UTC) 2651:18:20, 10 September 2019 (UTC) 2622:18:10, 10 September 2019 (UTC) 2600:17:27, 10 September 2019 (UTC) 2579:09:43, 10 September 2019 (UTC) 2517:04:45, 10 September 2019 (UTC) 2366:of the Wikimedia Foundation. 2125: 2115: 1866:If there is any function from 1: 4166:Category talk:Ordinal numbers 3976:Category talk:Ordinal numbers 3353:12:52, 9 September 2019 (UTC) 3329:02:58, 9 September 2019 (UTC) 3299:14:11, 9 September 2019 (UTC) 3254:Variational multiscale method 2639:talk:Module_of_covariants #AG 2497:19:05, 9 September 2019 (UTC) 2472:18:39, 9 September 2019 (UTC) 2449:18:22, 9 September 2019 (UTC) 2376:00:29, 6 September 2019 (UTC) 2344:06:06, 5 September 2019 (UTC) 2323:06:01, 5 September 2019 (UTC) 2309:04:44, 5 September 2019 (UTC) 2283:23:51, 4 September 2019 (UTC) 2258:18:19, 3 September 2019 (UTC) 2236:17:11, 3 September 2019 (UTC) 2184:16:54, 3 September 2019 (UTC) 2170:16:06, 3 September 2019 (UTC) 2156:15:36, 3 September 2019 (UTC) 2083:14:51, 3 September 2019 (UTC) 2055:14:51, 3 September 2019 (UTC) 2019:14:42, 3 September 2019 (UTC) 1989:14:23, 3 September 2019 (UTC) 1969:14:06, 3 September 2019 (UTC) 1935:14:13, 3 September 2019 (UTC) 1688:18:33, 2 September 2019 (UTC) 1674:17:51, 2 September 2019 (UTC) 1655:21:01, 2 September 2019 (UTC) 1632:17:42, 2 September 2019 (UTC) 1613:17:22, 2 September 2019 (UTC) 1555:17:18, 2 September 2019 (UTC) 1273:14:35, 1 September 2019 (UTC) 4686:Wow! The clue is the phrase 2834:It may also be worth adding 2700:covariant (invariant theory) 2585:Glossary_of_invariant_theory 2531:Covariant (invariant theory) 1576:{\displaystyle \varepsilon } 1440:{\displaystyle \varepsilon } 4970:which lead to the article " 3907:https://reftag.appspot.com/ 3527:is currently a GA or a FA. 2552:Covariance (disambiguation) 2539:Covariance (disambiguation) 2091:. Two things may belong to 1917:18:25, 27 August 2019 (UTC) 1903:in the passage quoted from 1662:$ \varepsilon$ --$ \delta$ 1534:18:49, 31 August 2019 (UTC) 1480:18:21, 31 August 2019 (UTC) 1386:Thus:ย \varepsilon{-}\delta. 5389: 4947: 4361:calls for experts, right? 2610:Invariant of a binary form 2523:Invariant of a binary form 1620:(ฮต, ฮด)-definition of limit 1408:(ฮต, ฮด)-definition of limit 5326:"; they are copied from " 5058:Need help with images in 4867:Huh, what do you know? -- 4835:deformations sufficed. -- 4672:(batchelorโ€™s unknotting) 4557:{\displaystyle m-n\leq 2} 4509:For now I've found this: 4316:Proposition of splitting 2456:covariant transformations 2381:Invariants and covariants 2299:has nothing of the sort. 1758:is not quite the same as 1560:\varepsilon</math: --> 1278:Punctuation epsilonโ€“delta 4688:"batchelorโ€™s unknotting" 4231:Hilbert's fourth problem 3580:generalized trigonometry 2503:We do have the article โ€œ 4339:. Feedback is welcome. 4043:Itโ€™s worth noting that 3905:Thank you, I was using 3639:Trigonometric functions 3631:Trigonometric functions 3576:hyperbolic trigonometry 3564:trigonometric functions 3423:Let us not escalate... 3115:Navierโ€“Stokes equations 2896:Almost complex manifold 2533:, I have disambiguated 2244:. I have added this to 1999:principal ideal domains 1953:the deletionist assault 1947:The problem arose from 1942:Square root of integers 1596:{\displaystyle \delta } 1460:{\displaystyle \delta } 1249:Missing articles about 5224: 4786: 4600: 4558: 3832:or uncountable noun. 3572:spherical trigonometry 2454:This is in fact about 2410: 2358:Just a reminder about 2354:Math-related affiliate 2291:followed the model of 2132: 1993:Properties like being 1738: 1597: 1577: 1518: 1461: 1441: 1410:, an en-dash is used. 1366: 1239:Lowercase sigmabot III 5211: 5065:I've been working on 4787: 4601: 4559: 4201:regarded as an axiom. 3273:Whitehead's algorithm 3195:Transport coefficient 2554:". What do you think? 2411: 2133: 1959:, or something else? 1850:If any function from 1714: 1598: 1578: 1519: 1462: 1442: 1367: 1251:Category:FEM elements 5280:. Simpler examples: 4730: 4568: 4536: 3387:wants to discuss my 2696:Module of covariants 2505:module of covariants 2400: 2107: 1828:Now suppose you say 1792:Every function from 1587: 1567: 1562:\delta</math: --> 1500: 1451: 1431: 1289: 5324:Space (mathematics) 4293:Proposal to delete 4210:as an axiom, added. 4063:WikiProject Numbers 4045:WikiProject Numbers 3556:Field (mathematics) 3319:Thanks in advance, 2103:generating a given 1708:The article titled 1263:are not created. -- 1257:Serendipity element 5225: 4782: 4596: 4554: 4394:I see, thank you. 4288:Portal:Mathematics 3085:(see next thread) 2756:I've been editing 2406: 2368:Whatamidoing (WMF) 2295:. For comparison, 2242:quadratic integers 2128: 2097:square-free factor 2093:quadratic integers 2003:free abelian group 1776:Any function from 1712:begins like this: 1593: 1573: 1514: 1457: 1437: 1362: 1360: 5191:fundamental group 5002:Minkowski Sausage 4968:Minkowski fractal 4964:Minkowski sausage 4899:Minkowski fractal 3562:and what goes in 2941:Color confinement 2409:{\displaystyle f} 2140:Quadratic integer 2123: 1905:Nonlocal operator 1734:Fourier transform 1710:Nonlocal operator 1509: 1353: 1336: 1246: 1245: 95:Nov 2002โ€“Dec 2003 5380: 5292:. Still simpler: 5263: 4960:Minkowski island 4934: 4916: 4791: 4789: 4788: 4783: 4778: 4777: 4772: 4763: 4762: 4750: 4749: 4744: 4605: 4603: 4602: 4597: 4595: 4594: 4589: 4580: 4579: 4563: 4561: 4560: 4555: 4323:I have opened a 3973: 3593: 3470: 3342: 3336: 3315: 3311: 3310: 3284: 3280: 3279: 3269: 3265: 3264: 3250: 3246: 3245: 3225: 3221: 3220: 3210: 3206: 3205: 3191: 3187: 3186: 3168: 3164: 3163: 3157:Polyvector field 3145: 3141: 3140: 3130: 3126: 3125: 3111: 3107: 3106: 3084: 3080: 3079: 3065: 3061: 3060: 3042: 3038: 3037: 3027: 3023: 3022: 3012: 3008: 3007: 3001:Geneviรจve Raugel 2997: 2993: 2992: 2982: 2978: 2977: 2967: 2963: 2962: 2956:Complex manifold 2952: 2948: 2947: 2937: 2933: 2932: 2922: 2918: 2917: 2907: 2903: 2902: 2890: 2884: 2843: 2837: 2632: 2598: 2563:Invariant theory 2559:Invariant theory 2549: 2486: 2461: 2423: 2415: 2413: 2412: 2407: 2391:invariant theory 2290: 2225: 2224: 2217: 2216: 2208: 2207: 2199: 2198: 2137: 2135: 2134: 2129: 2124: 2119: 2114: 2102: 2072: 2067: 2044: 2041:, and Dirichlet 2040: 2033: 2026: 1995:Euclidean domain 1644: 1602: 1600: 1599: 1594: 1582: 1580: 1579: 1574: 1544: 1523: 1521: 1520: 1515: 1510: 1507: 1495: 1489: 1466: 1464: 1463: 1458: 1446: 1444: 1443: 1438: 1371: 1369: 1368: 1363: 1361: 1354: 1351: 1337: 1334: 1320: 1261:Lagrange element 1241: 1225: 66: 59: 52: 42: 34: 5388: 5387: 5383: 5382: 5381: 5379: 5378: 5377: 5363: 5362: 5332:Boris Tsirelson 5310:Boris Tsirelson 5253: 5214:Jakob.scholbach 5196:Jakob.scholbach 5187: 5063: 5021: 4972:Fractal antenna 4956:Minkowski curve 4952: 4946: 4945: 4944: 4943: 4942: 4935: 4926: 4925: 4924: 4921:Fractal antenna 4917: 4908: 4907: 4901: 4851:G. K. Batchelor 4798:Boris Tsirelson 4767: 4754: 4733: 4728: 4727: 4692:Boris Tsirelson 4674:Boris Tsirelson 4654:Boris Tsirelson 4633:Boris Tsirelson 4611:Boris Tsirelson 4584: 4571: 4566: 4565: 4534: 4533: 4517:Boris Tsirelson 4396:Boris Tsirelson 4363:Boris Tsirelson 4359:This discussion 4356: 4321: 4291: 4229:Courtesy link: 4194: 4067:Boris Tsirelson 4012:Boris Tsirelson 3967: 3965: 3583: 3517: 3460: 3425:Boris Tsirelson 3381:MOS:LINKCLARITY 3338: 3308: 3306: 3277: 3275: 3262: 3260: 3243: 3241: 3239:Charge transfer 3218: 3216: 3203: 3201: 3184: 3182: 3170:Jakob.scholbach 3161: 3159: 3147:Jakob.scholbach 3138: 3136: 3123: 3121: 3104: 3102: 3077: 3075: 3058: 3056: 3044:Jakob.scholbach 3035: 3033: 3020: 3018: 3005: 3003: 2990: 2988: 2975: 2973: 2960: 2958: 2945: 2943: 2930: 2928: 2915: 2913: 2900: 2898: 2888: 2882: 2878: 2841: 2835: 2754: 2588: 2545: 2480: 2421: 2398: 2397: 2383: 2356: 2222: 2220: 2214: 2212: 2205: 2203: 2196: 2194: 2190:that subsection 2105: 2104: 2100: 2068: 2061: 2042: 2038: 2031: 2024: 2007:Quadratic field 1976:Quadratic field 1945: 1706: 1680:Boris Tsirelson 1638: 1585: 1584: 1565: 1564: 1538: 1498: 1497: 1449: 1448: 1429: 1428: 1359: 1358: 1345: 1342: 1341: 1328: 1325: 1324: 1311: 1308: 1307: 1296: 1287: 1286: 1280: 1254: 1237: 1226: 1220: 1211: 1097: 87: 86: 73: 70: 30: 29: 28: 12: 11: 5: 5386: 5384: 5376: 5375: 5365: 5364: 5361: 5360: 5345: 5344: 5343: 5342: 5320: 5268: 5267: 5186: 5183: 5182: 5181: 5180: 5179: 5178: 5177: 5176: 5175: 5174: 5173: 5172: 5171: 5087:David Eppstein 5062: 5056: 5055: 5054: 5020: 5017: 4984:Koch snowflake 4980:Vicsek fractal 4939:Vicsek fractal 4936: 4929: 4928: 4927: 4918: 4911: 4910: 4909: 4905: 4904: 4903: 4902: 4900: 4897: 4896: 4895: 4894: 4893: 4892: 4891: 4890: 4889: 4888: 4887: 4886: 4885: 4884: 4883: 4882: 4881: 4880: 4879: 4855:David Eppstein 4819: 4818: 4817: 4816: 4815: 4814: 4813: 4812: 4811: 4810: 4809: 4808: 4781: 4776: 4771: 4766: 4761: 4757: 4753: 4748: 4743: 4740: 4737: 4713: 4712: 4711: 4710: 4709: 4708: 4707: 4706: 4705: 4704: 4703: 4702: 4684: 4664: 4643: 4622: 4593: 4588: 4583: 4578: 4574: 4553: 4550: 4547: 4544: 4541: 4527: 4507: 4493: 4492: 4491: 4490: 4489: 4488: 4487: 4486: 4485: 4484: 4461: 4460: 4459: 4458: 4457: 4456: 4455: 4454: 4433: 4432: 4431: 4430: 4429: 4428: 4409: 4408: 4407: 4406: 4389: 4388: 4355: 4352: 4337:Cubic equation 4333:Cubic function 4329:Cubic function 4320: 4318:Cubic function 4314: 4290: 4285: 4270: 4269: 4268: 4267: 4212: 4211: 4203: 4202: 4193: 4190: 4189: 4188: 4187: 4186: 4185: 4184: 4150:Ordinal number 4133:David Eppstein 4129: 4128: 4127: 4126: 4125: 4124: 4123: 4122: 4121: 4120: 4119: 4023: 4022: 3964: 3961: 3960: 3959: 3958: 3957: 3956: 3955: 3923: 3922: 3877: 3876: 3875: 3874: 3873: 3872: 3871: 3870: 3869: 3868: 3867: 3866: 3865: 3864: 3863: 3862: 3861: 3860: 3837: 3765: 3764: 3763: 3762: 3761: 3760: 3759: 3758: 3757: 3756: 3755: 3754: 3753: 3752: 3666: 3665: 3664: 3663: 3662: 3661: 3598: 3597: 3516: 3513: 3512: 3511: 3510: 3509: 3508: 3507: 3506: 3505: 3477: 3443: 3442: 3441: 3440: 3439: 3438: 3437: 3436: 3435: 3385:Jean Raimbault 3363: 3356: 3355: 3317: 3316: 3301: 3270: 3251: 3226: 3211: 3192: 3177: 3154: 3131: 3112: 3097: 3066: 3051: 3031:Kummer surface 3028: 3016:John W. Negele 3013: 2998: 2983: 2968: 2953: 2938: 2923: 2908: 2877: 2874: 2873: 2872: 2871: 2870: 2839:Backwards copy 2831: 2830: 2829: 2828: 2818:David Eppstein 2753: 2750: 2749: 2748: 2747: 2746: 2721: 2720: 2706: 2703: 2687: 2686: 2685: 2684: 2683: 2682: 2668: 2628: 2627: 2626: 2625: 2624: 2606:wikt:covariant 2568: 2567: 2566: 2555: 2527:wikt:covariant 2500: 2499: 2475: 2474: 2405: 2382: 2379: 2355: 2352: 2351: 2350: 2349: 2348: 2347: 2346: 2328:David Eppstein 2315:David Eppstein 2271: 2270: 2269: 2268: 2267: 2266: 2265: 2264: 2263: 2262: 2261: 2260: 2144:Nested radical 2127: 2122: 2117: 2113: 2059: 2058: 2057: 2021: 1944: 1939: 1938: 1937: 1923: 1897: 1896: 1893: 1890: 1882: 1881: 1874: 1873: 1872: 1871: 1858: 1857: 1856: 1855: 1842: 1841: 1840: 1839: 1826: 1825: 1823: 1822: 1821: 1812: 1811: 1810: 1809: 1800: 1799: 1798: 1797: 1784: 1783: 1782: 1781: 1768: 1767: 1766: 1765: 1756: 1755: 1754: 1753: 1705: 1702: 1701: 1700: 1699: 1698: 1697: 1696: 1695: 1694: 1693: 1692: 1691: 1690: 1659: 1658: 1657: 1605:David Eppstein 1592: 1572: 1561:โ€“<math: --> 1513: 1505: 1468: 1467: 1456: 1436: 1422: 1421: 1415: 1414: 1404: 1403: 1397: 1396: 1390: 1389: 1387: 1380: 1379: 1373: 1372: 1357: 1349: 1346: 1344: 1343: 1340: 1332: 1329: 1327: 1326: 1323: 1319: 1315: 1312: 1310: 1309: 1306: 1303: 1300: 1297: 1295: 1294: 1279: 1276: 1253: 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: 5385: 5374: 5371: 5370: 5368: 5359: 5355: 5351: 5347: 5346: 5341: 5337: 5333: 5329: 5325: 5321: 5319: 5315: 5311: 5307: 5303: 5299: 5295: 5291: 5287: 5283: 5279: 5272: 5271: 5270: 5269: 5266: 5261: 5257: 5251: 5247: 5243: 5239: 5235: 5231: 5227: 5226: 5223: 5219: 5215: 5210: 5206: 5205: 5201: 5197: 5192: 5184: 5170: 5166: 5162: 5158: 5157: 5156: 5152: 5148: 5144: 5143: 5142: 5138: 5134: 5130: 5129: 5128: 5124: 5120: 5116: 5112: 5111: 5110: 5106: 5102: 5098: 5097: 5096: 5092: 5088: 5083: 5082: 5081: 5080: 5076: 5072: 5068: 5061: 5057: 5053: 5049: 5045: 5041: 5040: 5039: 5038: 5034: 5030: 5026: 5018: 5016: 5015: 5011: 5007: 5003: 4998: 4997: 4993: 4989: 4985: 4981: 4977: 4973: 4969: 4965: 4961: 4957: 4951: 4940: 4933: 4922: 4915: 4906:(for context) 4898: 4878: 4874: 4870: 4866: 4865: 4864: 4860: 4856: 4852: 4848: 4847: 4846: 4842: 4838: 4833: 4832: 4831: 4830: 4829: 4828: 4827: 4826: 4825: 4824: 4823: 4822: 4821: 4820: 4807: 4803: 4799: 4795: 4774: 4764: 4759: 4755: 4746: 4725: 4724: 4723: 4722: 4721: 4720: 4719: 4718: 4717: 4716: 4715: 4714: 4701: 4697: 4693: 4689: 4685: 4683: 4679: 4675: 4671: 4670: 4665: 4663: 4659: 4655: 4652: 4650: 4644: 4642: 4638: 4634: 4630: 4629: 4623: 4621: 4620: 4616: 4612: 4608: 4607: 4591: 4576: 4572: 4551: 4548: 4545: 4542: 4539: 4528: 4526: 4522: 4518: 4514: 4513: 4508: 4505: 4504: 4503: 4502: 4501: 4500: 4499: 4498: 4497: 4496: 4495: 4494: 4483: 4479: 4475: 4471: 4470: 4469: 4468: 4467: 4466: 4465: 4464: 4463: 4462: 4453: 4449: 4445: 4441: 4440: 4439: 4438: 4437: 4436: 4435: 4434: 4427: 4423: 4419: 4415: 4414: 4413: 4412: 4411: 4410: 4405: 4401: 4397: 4393: 4392: 4391: 4390: 4387: 4383: 4379: 4375: 4374: 4373: 4372: 4368: 4364: 4360: 4353: 4351: 4350: 4346: 4342: 4338: 4334: 4330: 4326: 4319: 4315: 4313: 4312: 4308: 4304: 4300: 4296: 4289: 4286: 4284: 4283: 4279: 4275: 4274:Michael Hardy 4266: 4262: 4258: 4254: 4253: 4252: 4248: 4244: 4240: 4236: 4232: 4228: 4227: 4226: 4225: 4221: 4217: 4216:94.21.201.110 4208: 4207: 4206: 4199: 4198: 4197: 4183: 4179: 4175: 4171: 4167: 4163: 4162: 4161: 4158: 4155: 4151: 4148: 4144: 4143: 4142: 4138: 4134: 4130: 4118: 4115: 4112: 4108: 4104: 4103: 4102: 4098: 4094: 4090: 4086: 4082: 4078: 4077: 4076: 4072: 4068: 4064: 4060: 4059: 4058: 4054: 4050: 4046: 4042: 4041: 4040: 4036: 4032: 4027: 4026: 4025: 4024: 4021: 4017: 4013: 4009: 4008: 4007: 4006: 4002: 3998: 3993: 3991: 3988: 3985: 3981: 3977: 3971: 3962: 3954: 3950: 3946: 3942: 3941: 3940: 3936: 3932: 3927: 3926: 3925: 3924: 3921: 3917: 3913: 3908: 3904: 3903: 3902: 3901: 3897: 3893: 3890:work better? 3889: 3885: 3881: 3859: 3855: 3851: 3846: 3842: 3838: 3835: 3831: 3827: 3826: 3825: 3821: 3817: 3813: 3809: 3805: 3804: 3803: 3802: 3801: 3800: 3799: 3798: 3797: 3796: 3795: 3794: 3793: 3792: 3791: 3790: 3789: 3788: 3784: 3780: 3776: 3772: 3770: 3751: 3747: 3743: 3738: 3734: 3733: 3732: 3728: 3724: 3720: 3716: 3712: 3711: 3710: 3706: 3702: 3698: 3697: 3696: 3692: 3688: 3684: 3680: 3679: 3674: 3673: 3672: 3671: 3670: 3669: 3668: 3667: 3660: 3656: 3652: 3647: 3643: 3640: 3636: 3635:Number theory 3632: 3628: 3624: 3620: 3619: 3618: 3614: 3610: 3606: 3602: 3601: 3600: 3599: 3596: 3591: 3587: 3581: 3577: 3573: 3569: 3565: 3561: 3557: 3553: 3552: 3551: 3550: 3546: 3542: 3536: 3534: 3530: 3524: 3522: 3514: 3504: 3500: 3496: 3492: 3491: 3490: 3486: 3482: 3478: 3475: 3474: 3473: 3468: 3464: 3458: 3457: 3456: 3452: 3448: 3444: 3434: 3430: 3426: 3422: 3421: 3420: 3416: 3412: 3408: 3407: 3406: 3402: 3398: 3394: 3390: 3389:petty motives 3386: 3382: 3378: 3377: 3376: 3372: 3368: 3364: 3360: 3359: 3358: 3357: 3354: 3350: 3346: 3341: 3333: 3332: 3331: 3330: 3326: 3322: 3314: 3305: 3304:Xiaohong Chen 3302: 3300: 3296: 3292: 3288: 3283: 3274: 3271: 3268: 3259: 3258:Stress tensor 3255: 3252: 3249: 3240: 3236: 3235: 3230: 3227: 3224: 3215: 3212: 3209: 3200: 3199:Stress tensor 3196: 3193: 3190: 3181: 3178: 3175: 3171: 3167: 3158: 3155: 3152: 3148: 3144: 3135: 3132: 3129: 3120: 3119:Stress tensor 3116: 3113: 3110: 3101: 3098: 3096: 3092: 3088: 3083: 3074: 3070: 3067: 3064: 3055: 3052: 3049: 3045: 3041: 3032: 3029: 3026: 3017: 3014: 3011: 3002: 2999: 2996: 2987: 2984: 2981: 2972: 2969: 2966: 2957: 2954: 2951: 2942: 2939: 2936: 2927: 2924: 2921: 2912: 2909: 2906: 2897: 2894: 2893: 2892: 2887: 2875: 2869: 2865: 2861: 2857: 2856: 2855: 2851: 2847: 2840: 2833: 2832: 2827: 2823: 2819: 2815: 2811: 2810: 2809: 2805: 2801: 2797: 2796: 2795: 2794: 2790: 2786: 2782: 2778: 2775: 2774: 2770: 2767: 2766: 2761: 2759: 2751: 2745: 2741: 2737: 2733: 2729: 2726:Thank you to 2725: 2724: 2723: 2722: 2719: 2715: 2711: 2707: 2704: 2701: 2697: 2693: 2689: 2688: 2681: 2677: 2673: 2669: 2666: 2662: 2658: 2654: 2653: 2652: 2648: 2644: 2640: 2636: 2629: 2623: 2619: 2615: 2611: 2607: 2603: 2602: 2601: 2596: 2592: 2586: 2582: 2581: 2580: 2576: 2572: 2569: 2564: 2560: 2556: 2553: 2548: 2543: 2542: 2540: 2536: 2532: 2528: 2525:, and one in 2524: 2520: 2519: 2518: 2514: 2510: 2506: 2502: 2501: 2498: 2494: 2490: 2484: 2477: 2476: 2473: 2469: 2465: 2457: 2453: 2452: 2451: 2450: 2446: 2442: 2437: 2435: 2431: 2427: 2419: 2416:be a generic 2403: 2394: 2392: 2388: 2380: 2378: 2377: 2373: 2369: 2365: 2361: 2353: 2345: 2341: 2337: 2333: 2329: 2326: 2325: 2324: 2320: 2316: 2312: 2311: 2310: 2306: 2302: 2298: 2294: 2287: 2286: 2285: 2284: 2280: 2276: 2275:Michael Hardy 2259: 2255: 2251: 2247: 2243: 2239: 2238: 2237: 2233: 2229: 2218: 2209: 2200: 2191: 2187: 2186: 2185: 2181: 2177: 2173: 2172: 2171: 2167: 2163: 2159: 2158: 2157: 2153: 2149: 2145: 2141: 2120: 2098: 2094: 2090: 2086: 2085: 2084: 2080: 2076: 2071: 2065: 2060: 2056: 2052: 2048: 2037: 2030: 2022: 2020: 2016: 2012: 2008: 2004: 2000: 1996: 1992: 1991: 1990: 1986: 1982: 1977: 1973: 1972: 1971: 1970: 1966: 1962: 1958: 1954: 1950: 1943: 1940: 1936: 1932: 1928: 1924: 1921: 1920: 1919: 1918: 1914: 1910: 1909:Michael Hardy 1906: 1902: 1894: 1891: 1888: 1887: 1886: 1880: 1879: 1878: 1869: 1865: 1864: 1863: 1862: 1861: 1860:and hence as 1853: 1849: 1848: 1847: 1846: 1845: 1837: 1833: 1832: 1831: 1830: 1829: 1824: 1819: 1818: 1817: 1816: 1815: 1807: 1806: 1805: 1804: 1803: 1795: 1791: 1790: 1789: 1788: 1787: 1779: 1775: 1774: 1773: 1772: 1771: 1763: 1762: 1761: 1760: 1759: 1751: 1750: 1749: 1748: 1747: 1745: 1744: 1737: 1735: 1730: 1726: 1725: 1719: 1713: 1711: 1703: 1689: 1685: 1681: 1677: 1676: 1675: 1671: 1667: 1663: 1660: 1656: 1652: 1648: 1647:Michael Hardy 1642: 1641:Joel B. Lewis 1637: 1636: 1635: 1634: 1633: 1629: 1625: 1621: 1616: 1615: 1614: 1610: 1606: 1590: 1570: 1558: 1557: 1556: 1552: 1548: 1547:Michael Hardy 1542: 1537: 1536: 1535: 1531: 1527: 1511: 1503: 1493:<math: --> 1484: 1483: 1482: 1481: 1477: 1473: 1472:Michael Hardy 1454: 1434: 1427: 1426: 1425: 1420: 1419: 1418: 1413: 1412: 1411: 1409: 1402: 1401: 1400: 1395: 1394: 1393: 1388: 1385: 1384: 1383: 1378: 1377: 1376: 1355: 1347: 1338: 1330: 1321: 1317: 1313: 1304: 1301: 1298: 1285: 1284: 1283: 1277: 1275: 1274: 1270: 1266: 1262: 1258: 1252: 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: 5350:Katja Berฤiฤ 5188: 5064: 5022: 4999: 4953: 4937:Image from " 4919:Image from " 4687: 4668: 4647: 4626: 4609: 4531: 4511: 4474:Quantum Knot 4357: 4322: 4303:Voceditenore 4294: 4292: 4271: 4213: 4204: 4195: 4154:Arthur Rubin 4146: 4111:Arthur Rubin 3994: 3986: 3966: 3884:trigonometry 3878: 3844: 3840: 3833: 3811: 3807: 3777: 3773: 3769:Trigonometry 3766: 3736: 3718: 3714: 3682: 3676: 3627:Trigonometry 3623:Trigonometry 3605:trigonometry 3568:trigonometry 3560:trigonometry 3537: 3525: 3521:Trigonometry 3518: 3388: 3318: 3312: 3281: 3266: 3247: 3232: 3222: 3207: 3188: 3180:Random field 3165: 3142: 3134:Normal basis 3127: 3108: 3081: 3062: 3039: 3024: 3009: 2994: 2979: 2971:Connectivism 2964: 2949: 2934: 2919: 2904: 2879: 2783: 2779: 2776: 2771: 2768: 2762: 2758:trigonometry 2755: 2691: 2634: 2438: 2433: 2430:discriminant 2395: 2384: 2364:m:affiliates 2357: 2272: 1946: 1900: 1898: 1883: 1875: 1867: 1859: 1851: 1843: 1835: 1827: 1813: 1801: 1793: 1785: 1777: 1769: 1757: 1742: 1741: 1739: 1721: 1715: 1707: 1469: 1423: 1416: 1405: 1398: 1391: 1381: 1374: 1281: 1255: 1233: 1156: 1101: 1042: 987: 932: 915: 877: 822: 767: 712: 657: 602: 547: 492: 437: 382: 327: 272: 217: 162: 107: 103:Sepโ€“Dec 2004 99:Janโ€“Aug 2004 44: 5256:Mark viking 4061:Looking at 3806:Trovatore: 3586:Mark viking 3481:Narky Blert 3463:Mark viking 3397:Incnis Mrsi 3345:Incnis Mrsi 3321:Narky Blert 2814:WP:CIRCULAR 2692:as I recall 2672:Narky Blert 2643:Incnis Mrsi 2591:Mark viking 2464:Incnis Mrsi 2336:Incnis Mrsi 2301:Incnis Mrsi 2246:Square root 2228:Incnis Mrsi 2162:Incnis Mrsi 2089:Square root 2075:Incnis Mrsi 2047:Incnis Mrsi 2001:, basis as 1961:Incnis Mrsi 1718:mathematics 1563:renders as 1541:Incnis Mrsi 1526:Incnis Mrsi 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Index

Knowledge talk:WikiProject Mathematics
Archive
2019

v
t
e
Motivation
Nov 2002โ€“Dec 2003
Janโ€“Aug 2004
Sepโ€“Dec 2004
2005
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
2006
Jan
Feb
Mar
Apr
May

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