1316:. I came to it because its title does not indicate what is the subject. The first sentence is "A two-dimensional graph is a set of points in two-dimensional space". For me, a set of points in two-dimensional space is called a plane figure. The content and the figures suggest that it what is intended by this title. The article does not contain any reference, and is tagged as such. What should be done with this article? My opinion is that it should be either deleted or redirected to
40:
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1273:. Both pages suffer from liberal edits including non-attributable and nonverifiable mathematical content that have never been peer reviewed or published. I have five-year-old comments asking for people to fix their entries that have never been responded to. The content of the pages is ruled by politics, not Knowledge policy. I would like to hear of better options than what I have offered. Thanks.
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I wrote a wall of text since, apparently, you do not actually know how to construct a quotient algebra of a tensor algebra. I really do not want to get into a hostile argument over this stuff -- there are plenty of published textbooks in representation theory that explain this -- and also pretty
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I never saw this article before it was deleted, so I cannot judge on what was there, but I find it alarming that some other editors seem to be ganging up on Taku and being mean to him. Taku's one of ur finest math editors, he's been here for over a decade, his work is top-notch, and I find it
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and its talkpage. This should solve the issue that the page looks too unfocused and for me, this seems like the most constructive steps instead of arguing about the page. I just sincerely hope we focus on the discussion and development of the content (not the history or the procedure). โ-
2280:
I was reading an article and came across a mathematical symbol that looks like a fork or trident, placed on its side like an "E". Can anyone tell me what this is? I wasn't even sure where to look for an explanation and the article didn't explain what it meant. Thanks, anyone.
2649:(with John W. Nicholson as co-author, plus note the email name). I haven't found anything about it anywhere else in mathematical literature so does not really belong here unless other evidence from RS can be given. I went and removed the content from both articles. โ
3565:
4637:. The idea would be to help coordinate, collaborate and network cross-subject, cross-wiki and cross-language to share experience and resources that may be valuable to the relevant wikiprojects. Current discussion includes preferred scope and structure.
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is a punctuation mark, that is, line break is allowed after it. Unfortunately, some faction of en.Wikipedians persists with the use of bare text as mathematical formulas. Such thing could be acceptable for certain special kinds of notationโsuch as
3146:
1494:
disturbing that some editors, who have never-ever contributed to any math articles, can just pop up and commit these kinds of drive-by vandalism-by-deletion. I don't like this, I don't like it at all. I think its deeply and fundamentally wrong.
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until a consensus is reached, and anyone is welcome to contribute to the discussion. The nomination will explain the policies and guidelines which are of concern. The discussion focuses on high-quality evidence and our policies and guidelines.
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much any text that explains how to construct the symmetric algebra or the exterior algebra or the clifford algebra, etc. out of the tensor algebra. This is quite wide-spread, and foundational for lots of math/physics applications.
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In particular, the illustration in that article is an atrocity. The problem resulted only from an incorrect aspect ratio. This is obviously one of those occasions when it's important to hvae the right aspect ratio.
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But seriously, I don't see why that would be a problem; I'm unsure what's actually going on from a technical standpoint. I can try to take a look around if you want, but I'm not really an expert with this stuff.
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is trying to say something, but obviously what was added is unsuitable for anything to be kept in its present form. Can someone who knows what Euler did with nested radicals decipher it and possibly clean it up?
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I have completely rewritten the proof: no need of separate proofs for the "if" and the "only if" implications. This follows Euler's argument, although, for a rigorous proof I need some field theory, namely that
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article which requires a math background, in particular, a knowledge of the reflected binary code used in that numeral system. Any editors who might be able to review this request would be most appreciated.
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It should be rescaled with the horizontal scale reduced to about 42%. Since it is an svg image, that shouldn't be particularly hard. But there are other serious issues; please have a look at the talk page.
2588:. In addition to not understanding how their response answers my question (and so not being clear on the mathematical validity), I am worried about original research and self-promotion: the attribution at
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issues with that article, with claims and counter-claims about academic misconduct cited to unreliable primary sources. This isn't a good week for me to put time into sorting out a mess like that, though.
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is a square. This is true; a proof follows. Nevertheless, I have not verified whether Euler gave a proof (in one direction my proof could certainly be given by Euler, but in the other direction, I uses
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I played around a bit with this on Wofram Alpha and as far as I can tell it is correct. I can't find a source for it though and, even though it's a pretty result, I'm not sure how important it is.
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1719:โ is strikingly unprofessional, not only with ugly letters but overextended whitespace also. Modern students perhaps are more accommodated to illegible letters, than myself, because developers of
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Users may edit the page during the discussion, including to improve the page to address concerns raised in the discussion. However, do not remove the deletion notice from the top of the page.
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Um, that doesn't work. You mean x=4. And stop trying to pass off trivial cases where one of the numbers is zero as a counterexample. It's clear from context those aren't being considered.
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In fact, the easy part was already in the article, but needed also some deciphering. I have edited the article for making a specific section for the case of two nested square roots.
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See talk page. It's been removed. For a long-term solution, I think a low-brow article on the construction of quotients of tensor algebras is in order; lets continue conversation at
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2596:(uncited), and Reddwarf2956 signs their talkpage posts as "John W. Nicholson". I would be grateful if another editor could take a look to determine whether this content (at both
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Huh, interesting. In fact, if a+sqrt(b)=4k^2 then x=y=k^2 will do. 31, 25,9,9 for instance. Or I wonder if there are counterexamples with irrational left and right hand sides.
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A disambig page is fine too but I just did a Google search and very few instances of the use in universal algebra came up and that suggests a redirect is better. --
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belonging to "Hamilton Brito (Lewis)". Is this "OR"? And is the mathematics correct? (I haven't yet even reached the point of looking closely at what it says yet.)
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not an original research; I do agree with User 67.'s assessment that
Knowledge seems to lack an article on the subject. A separate article is appropriate just as
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3966:, because the rational parts must be equal and so must the irrational parts. This could probably be made rigorous but its later application relies on
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2604:) is meaningful, and whether it belongs in Knowledge. (I have not tried to assess whether similar remarks have been added elsewhere.) --
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1351:, etc. In the absence of a uniquely good redirect, and without evidence that it is a common search term, I'd be inclined to delete it.
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Ok, thanks. (Maybe at some point
Reddwarf2956 will discuss this so it will be easier to tell if there's any merit to inclusion.) --
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Either copy the symbol over here (in context) or link to the article in which it appeared and tell us the section and line number.
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It does look like COI. But even disregarding COI, this "Ramanujan Prime
Corollary" is not something mentioned anywhere except in
2485:.) Often it is easy to replace that symbol in context with English words. Can you point out the article where you found it? --
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It is implicit in D.Lazardโs argument that b is not a rational square (so that we really are dealing with a nested radical). โ
2193:, I had generally to further edit the article for fixing some errors, such as "the kernel of a homomorphism" is a subalgebra.
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3560:{\displaystyle (x^{2}+d)^{2}-2x^{2}(a+d)=\left(x^{2}+d+x{\sqrt {2(a+d)}}\right)\left(x^{2}+d-x{\sqrt {2(a+d)}}\right).}
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How about turning it into a disambig page? For me, the issue seems that the term can be ambiguous without context. --
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template might work without the nowrap as the remplate adds some hair-spaces which might prevent line breaking. --
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To say the least, the line-break is in a very very bad place. But " " is supposed to prevent that.
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2870:, which was unknown by him). In any case, this result is misplaced in the section about Landau's algorithm.
2018:) off tensor algebra as a quotient. My proposal is to render references to โquotient algebraโ as a link to
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but I'm not sure what else that might affect. The only other page that would obviously need editing is
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I tried to come up with a more precise description, but nothing quite did it justice. There may also be
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for the time being. Writing a new article for the case grazes the domain of original research, whereas
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3141:{\displaystyle {\sqrt {a+{\sqrt {b}}}}\;{\sqrt {a-{\sqrt {b}}}}={\sqrt {a^{2}-b}}=\pm (x^{2}-y^{2}).}
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to make quotient stuff is irrelevant. The point is that a mathematician reading allegations that
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I have disambiguated all these links. Not surprisingly (for me), when the links was intended to
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and it has to do with set membership (although that doesn't explain the equation I read).
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to make the final terms irrational, which (as Reyk just said) fails when b is a square.
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is in dire need of attention from an expert, preferably in computational geometry. ย --
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4610:, has been nominated for deletion at RFD. You are invited to join the discussion at
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Please can an expert disambiguate the incoming links to the new disambiguation page
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Please disregard. Knowledge is not the appropriate place for me to benefit people.
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Should be clear from context that a and b are both nonzero. This case is trivial.
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is somewhere a true statement becomes confused. Should a student learn what does โ
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at ITN/Candidates. Comments and article improvements would be most welcome! โ
4874:; the alleged fact added is attributed to "Hamilton Brito", and Google finds
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would be helpful to explain how to construct an associative algebra (such as
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The assertion above and its "proof" are both wrong. Try a=0, b=1, x=0, y=1.
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are obtained by simply changing the signs of one or two square roots. Then
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considers a way abstract stuff having little in common with quotient over
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I'm not sure about "low-brow" but we certainly lack an algebra-version of
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4721:, which to my surprise was empty. I dug around and found the article at
2445:, indicating that one set is contained in another, or the Greek letter
2165:? As the meanings are easily confused, I'd rather not guess. Thanks,
3023:{\displaystyle {\sqrt {a-{\sqrt {b}}}}=\pm {\sqrt {x}}\pm {\sqrt {y}}}
1723:
supplied the class with sans fontโby defaultโfor some bizarre reason.
1436:
just passed away yesterday, so I have updated the article and made an
4735:
as well) but for some reason it gets sent to the "pages" category.--
1939:
1522:
0 < |''ฯ''(''e'')| < ''k''
2425:(indicating that an element is a member of a set)? (As opposed to
4633:
There's a discussion about a possible User Group for STEM over at
4612:
Knowledge:Redirects for discussion/Log/2019 May 19#Absolute number
4136:{\displaystyle {\sqrt {a+b{\sqrt {c}}}}={\sqrt {x}}+{\sqrt {y}}}
1682:โ have not much difference between each other. But, while both โ
2825:{\displaystyle {\sqrt {a+{\sqrt {b}}}}={\sqrt {x}}+{\sqrt {y}}}
1335:
It sounds both vague and non-standard. "Two-dimensional graph"
3916:{\displaystyle x+y+2{\sqrt {xy}}=5+2{\sqrt {6}}\implies x+y=5}
1463:
Knowledge:Articles for deletion/Geometry of an algebraic curve
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33:
1365:
I second the deletion suggestion. Currently too ambiguous. โ
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WP:Redirects for discussion/Log/2019 May 9#Interior solution
4221:{\displaystyle 5={\sqrt {a^{2}-b^{2}c}}\neq x^{2}-y^{2}=35}
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which is a Galois extension. It follows that the conjugate
2044:
Constructing an algebra out of generators and relations is
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You could possibly try surronding the whole expressions in
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from an editor with a conflict of interest pending in the
1813:
Alternatively to escaping the vertical bars one could use
1465:.) I have split-off some of content to separate articles (
3320:{\displaystyle (x^{2}-a)^{2}-b=x^{4}-2ax^{2}+(a^{2}-b).}
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Talk:Jean-Pierre Petit2021/December#Request for comment
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Knowledge:Miscellany for deletion/Portal:Number theory
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The
Ramanujan Prime Corollary is due to John Nicholson
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A disambiguation page on โquotient algebraโ, perhaps?
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topic and therefore the page should be redirected to
2067:: I don't believe "quotient algebra" in the sense in
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on it. I clicked on the Drafts link and was sent to
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is suitable for inclusion in
Knowledge according to
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exist, then the left-hand side belongs to the field
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4770:, but then became sad when I realized it was about
4302:{\displaystyle a+b{\sqrt {c}}=x+y\pm 2{\sqrt {xy}}}
2221:), so it may be of interest to the community here.
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4466:You are right, I'll fix the proof in the article.
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1271:Talk:Tetration#Moving_towards_a_verifiable_article
2770:are integers, then there exists rational numbers
2545:Members of this project may be able to assist at
2515:for a discussion that concerns several articles.
4012:I believe the proof is incorrect. We have that
1526:With a certain window geometry, one sees this:
1261:Folks, please check out my recent edits on the
2344:Watch out for the mob of angry villagers with
2060:" (and we're allowed to rename it as we like).
4797:This sounds like a simple matter of changing
1232:This page has archives. Sections older than
57:
8:
3750:Try a=3, b=1, x= 2(typo: should be 4), y=0.
2524:Talk:Curve#Sections on differentiable curves
2520:Talk:Plane curve#Merge with algebraic curve?
1603:What do you take to be the pros and cons of
4666:A discussion is taking place as to whether
2619:Reddwarf2956 has responded to this post by
2058:algebra defined by generators and relations
1942:โ mean to subsequently solve such quizzes?
4707:I was looking at a draft article with the
4576:{\displaystyle \mathbb {Q} ({\sqrt {c}}).}
3959:{\displaystyle 2{\sqrt {xy}}=2{\sqrt {6}}}
2465:, sometimes rendered less trident-like as
64:
50:
4833:Thanks. I don't know how I missed that.--
4719:Category:Draft-Class mathematics articles
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3039:
3013:
3003:
2988:
2980:
2978:
2973:belongs to the same field, and satisfies
2954:
2946:
2944:
2919:
2917:
2895:
2893:
2843:
2837:
2815:
2805:
2793:
2785:
2783:
2584:, about something Reddwarf2956 calls the
2568:A few months ago, I had a brief exchange
2470:
2450:
2430:
2410:
2351:
1857:An โexpertโ on spinors and tensor algebra
1694:
1667:
1616:
3896:
3891:
3058:
2564:"Ramanujan prime corollary", possible OR
1789:to replace the verticle bars. Using the
3567:As the discriminant of both factors is
3208:{\displaystyle {\sqrt {a+{\sqrt {b}}}}}
2966:{\displaystyle {\sqrt {a-{\sqrt {b}}}}}
1870:while their notation is clearly wrong.
1743:looks a lot bigger than the other two.
1257:pages on more solid mathematical ground
88:
4803:|ASSESSMENT_CAT = mathematics articles
4723:Category:Draft-Class mathematics pages
4444:{\displaystyle a^{2}-b^{2}c=(x-y)^{2}}
2593:
18:Knowledge talk:WikiProject Mathematics
4951:WikiProject Mathematics archives/2019
2079:(and the current article be moved to
1868:talk:Spin group #Incorrect use of โโโ
1320:. But other advices would be useful.
7:
2405:Presumably this is about the symbol
2081:quotient algebra (universal algebra)
1982:, which should probably be called a
4799:|ASSESSMENT_CAT = mathematics pages
4674:Knowledge's policies and guidelines
4079:{\displaystyle a=7,b=2,c=6,x=6,y=1}
2056:. Maybe a better article title is "
4766:I was excited to see a post about
4629:A possible Science/STEM User Group
2627:-- more eyes would be welcome. --
2526:for recent related discussions]].
1624:
45:WikiProject Mathematics archives (
32:
3669:{\displaystyle {\tfrac {a-d}{2}}}
3632:{\displaystyle {\tfrac {a+d}{2}}}
1236:may be automatically archived by
4659:
3376:the polynomial may be rewritten
2180:
1269:pages as well as my comments at
38:
2010:donโt think that anything like
1467:Severi variety (Hilbert scheme)
4683:The page will be discussed at
4635:Meta:Talk:STEM_Wiki_User_Group
4567:
4557:
4432:
4419:
3893:
3589:
3577:
3544:
3532:
3490:
3478:
3440:
3428:
3403:
3383:
3369:{\displaystyle a^{2}-b=d^{2},}
3311:
3292:
3242:
3222:
3132:
3106:
2762:The assertion seems to be: If
1715:โ look more or less good, โln
1475:Draft:Complete algebraic curve
1456:Geometry of an algebraic curve
1:
3602:is follows that one can take
3030:, since the automorphisms of
2300:Table of mathematical symbols
1312:This article is linked to in
4913:COI edit request 29-MAY-2019
4538:{\displaystyle \mathbb {Q} }
4480:Fixed and sourced to Euler.
2932:{\displaystyle {\sqrt {y}},}
2478:{\displaystyle \varepsilon }
2217:(which came to my attention
2191:quotient (universal algebra)
1382:I have prodded the article.
4516:{\displaystyle {\sqrt {c}}}
3983:{\displaystyle {\sqrt {b}}}
2905:{\displaystyle {\sqrt {x}}}
2623:the cn and clarify tags at
2513:Talk:Curve#What is a curve?
2359:{\displaystyle \pitchfork }
1473:) and merged the rest into
4967:
4606:, which currently targets
4376:{\displaystyle b^{2}c=4xy}
2438:{\displaystyle \subseteq }
2298:Never mind. I found it at
1984:presentation of an algebra
1633:{\textstyle A\vee \lnot A}
1510:A typesetting software bug
1488:13:19, 22 April 2019 (UTC)
1375:18:25, 30 April 2019 (UTC)
1361:18:03, 30 April 2019 (UTC)
1330:17:00, 30 April 2019 (UTC)
1285:19:04, 30 April 2019 (UTC)
3181:is a square. Conversely,
2586:Ramanujan prime corollary
2458:{\displaystyle \epsilon }
4937:01:04, 30 May 2019 (UTC)
4907:19:11, 28 May 2019 (UTC)
4888:18:40, 28 May 2019 (UTC)
4851:22:16, 27 May 2019 (UTC)
4829:16:59, 26 May 2019 (UTC)
4791:16:41, 26 May 2019 (UTC)
4753:16:08, 26 May 2019 (UTC)
4698:21:11, 26 May 2019 (UTC)
4676:or whether it should be
4646:02:55, 26 May 2019 (UTC)
4624:11:20, 19 May 2019 (UTC)
4592:12:24, 18 May 2019 (UTC)
4490:17:17, 17 May 2019 (UTC)
4476:16:17, 17 May 2019 (UTC)
4461:15:38, 17 May 2019 (UTC)
4000:16:05, 14 May 2019 (UTC)
3832:15:32, 14 May 2019 (UTC)
3817:15:26, 14 May 2019 (UTC)
3794:14:46, 14 May 2019 (UTC)
3778:14:42, 14 May 2019 (UTC)
3760:14:32, 14 May 2019 (UTC)
3746:14:20, 14 May 2019 (UTC)
3724:14:16, 14 May 2019 (UTC)
3708:14:05, 14 May 2019 (UTC)
3694:10:46, 14 May 2019 (UTC)
2757:17:08, 13 May 2019 (UTC)
2730:20:18, 17 May 2019 (UTC)
2720:18:41, 17 May 2019 (UTC)
2704:22:06, 16 May 2019 (UTC)
2681:11:22, 15 May 2019 (UTC)
2659:02:59, 15 May 2019 (UTC)
2637:14:05, 14 May 2019 (UTC)
2614:12:24, 14 May 2019 (UTC)
2580:addition to the article
1980:presentation of a module
1769:. You will need to use
1411:Taku's suggestion done.
3174:{\displaystyle a-b^{2}}
2858:{\displaystyle a^{2}-b}
2559:21:40, 9 May 2019 (UTC)
2536:15:31, 9 May 2019 (UTC)
2495:11:42, 9 May 2019 (UTC)
2382:03:28, 9 May 2019 (UTC)
2332:03:14, 9 May 2019 (UTC)
2314:03:10, 9 May 2019 (UTC)
2293:03:01, 9 May 2019 (UTC)
2277:Hey, WikiProject Math,
2265:20:44, 8 May 2019 (UTC)
2246:18:58, 8 May 2019 (UTC)
2236:"of a sort", indeed! --
2231:17:57, 8 May 2019 (UTC)
2213:Smarandache came up at
2203:14:40, 8 May 2019 (UTC)
2175:11:25, 8 May 2019 (UTC)
2151:00:46, 5 May 2019 (UTC)
2121:23:05, 6 May 2019 (UTC)
2107:05:54, 6 May 2019 (UTC)
2093:22:59, 5 May 2019 (UTC)
2050:presentation of a group
2040:16:39, 5 May 2019 (UTC)
1996:23:43, 4 May 2019 (UTC)
1976:presentation of a group
1970:18:13, 4 May 2019 (UTC)
1952:20:55, 3 May 2019 (UTC)
1896:20:37, 3 May 2019 (UTC)
1880:18:18, 3 May 2019 (UTC)
1843:14:58, 6 May 2019 (UTC)
1809:14:21, 6 May 2019 (UTC)
1753:23:13, 6 May 2019 (UTC)
1733:05:54, 6 May 2019 (UTC)
1650:00:59, 6 May 2019 (UTC)
1592:21:57, 5 May 2019 (UTC)
1557:18:29, 5 May 2019 (UTC)
1504:18:09, 4 May 2019 (UTC)
1450:10:45, 4 May 2019 (UTC)
1421:09:37, 3 May 2019 (UTC)
1407:23:53, 2 May 2019 (UTC)
1392:08:41, 2 May 2019 (UTC)
1301:08:10, 2 May 2019 (UTC)
4917:There is currently an
4577:
4539:
4517:
4445:
4377:
4335:
4303:
4242:
4222:
4137:
4080:
3984:
3960:
3917:
3670:
3633:
3596:
3595:{\displaystyle 2(a-d)}
3561:
3370:
3321:
3209:
3175:
3142:
3024:
2967:
2933:
2906:
2859:
2826:
2479:
2459:
2439:
2419:
2360:
1709:
1676:
1634:
1239:Lowercase sigmabot III
4578:
4540:
4518:
4446:
4378:
4336:
4334:{\displaystyle a=x+y}
4304:
4243:
4223:
4138:
4081:
3985:
3961:
3918:
3671:
3634:
3597:
3562:
3371:
3322:
3210:
3176:
3143:
3025:
2968:
2934:
2907:
2860:
2827:
2744:this anonymous editor
2480:
2460:
2440:
2420:
2361:
1710:
1708:{\displaystyle \ln x}
1677:
1635:
1307:Two-dimensional graph
4669:Portal:Number theory
4653:Portal:Number theory
4549:
4527:
4523:boom a basis of the
4503:
4387:
4345:
4313:
4252:
4248:is not square, then
4232:
4147:
4090:
4016:
3970:
3927:
3844:
3643:
3606:
3571:
3380:
3331:
3219:
3185:
3152:
3038:
2977:
2943:
2916:
2892:
2836:
2782:
2469:
2449:
2429:
2418:{\displaystyle \in }
2409:
2350:
1693:
1666:
1615:
4866:I am suspicious of
3784:a=3, b=1, x=1, y=1.
1739:Your third capital
1518:we find this code:
1318:graph of a function
1314:Curve (mathematics)
4573:
4535:
4513:
4441:
4373:
4331:
4299:
4238:
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4133:
4076:
3980:
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2475:
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2435:
2415:
2356:
1866:a wall of text on
1705:
1672:
1630:
4775:
4642:
4565:
4511:
4297:
4269:
4241:{\displaystyle c}
4184:
4131:
4121:
4111:
4109:
4086:is a solution to
3978:
3954:
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3889:
3870:
3663:
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3493:
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2993:
2961:
2959:
2924:
2900:
2820:
2810:
2800:
2798:
2541:Interior solution
2135:algebra extension
2069:universal algebra
2012:free presentation
1675:{\displaystyle A}
1516:Nowhere-zero flow
1263:Iterated_function
1251:Iterated function
1246:
1245:
95:Nov 2002โDec 2003
4958:
4935:
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4849:
4847:
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4703:Category problem
4696:
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3250:
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3214:
3212:
3211:
3206:
3204:
3202:
3197:
3189:
3180:
3178:
3177:
3172:
3170:
3169:
3148:This shows that
3147:
3145:
3144:
3139:
3131:
3130:
3118:
3117:
3099:
3091:
3090:
3081:
3076:
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3027:
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3021:
3019:
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2816:
2811:
2806:
2801:
2799:
2794:
2786:
2777:
2773:
2769:
2765:
2507:What is a curve?
2484:
2482:
2481:
2476:
2464:
2462:
2461:
2456:
2444:
2442:
2441:
2436:
2424:
2422:
2421:
2416:
2404:
2367:
2365:
2363:
2362:
2357:
2312:
2291:
2188:
2184:
2183:
2163:Quotient algebra
2065:quotient algebra
2024:quotient algebra
2016:Clifford algebra
2009:
2006:
1937:
1903:
1832:
1826:
1822:
1816:
1798:
1792:
1788:
1782:
1778:
1772:
1768:
1762:
1714:
1712:
1711:
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1681:
1679:
1678:
1673:
1661:
1639:
1637:
1636:
1631:
1602:
1568:
1429:RD: Goro Shimura
1241:
1225:
66:
59:
52:
42:
34:
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4965:
4961:
4960:
4959:
4957:
4956:
4955:
4941:
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4929:
4927:
4915:
4905:
4872:User:Lewisbrito
4864:
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4806:
4802:
4798:
4758:
4745:
4738:
4736:
4732:
4726:
4714:
4708:
4705:
4692:
4664:
4660:
4657:
4631:
4604:Absolute number
4600:
4598:Absolute number
4547:
4546:
4525:
4524:
4501:
4500:
4496:
4431:
4403:
4390:
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2913:
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2889:
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2877:
2839:
2834:
2833:
2832:if and only if
2780:
2779:
2775:
2771:
2767:
2763:
2740:
2738:Nested radicals
2693:
2602:Ramanujan prime
2590:Ramanujan prime
2566:
2543:
2509:
2467:
2466:
2447:
2446:
2427:
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2407:
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2303:
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2211:
2181:
2179:
2139:group extension
2052:is not part of
2000:
1958:Talk:Spin group
1936:
1929:
1922:
1915:
1909:
1859:
1830:
1824:
1820:
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1691:
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1659:
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1596:
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1512:
1461:(Note there is
1459:
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1211:
1097:
87:
86:
73:
70:
30:
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5:
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4909:
4899:
4863:
4861:Gamma function
4857:
4856:
4855:
4854:
4853:
4794:
4793:
4730:category class
4704:
4701:
4658:
4656:
4651:Nomination of
4649:
4630:
4627:
4608:Absolute value
4599:
4596:
4595:
4594:
4572:
4569:
4564:
4559:
4555:
4545:-vector space
4533:
4510:
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3796:
3786:157.131.141.41
3782:
3781:
3780:
3770:
3752:157.131.141.41
3738:
3727:
3726:
3716:157.131.141.41
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3048:
3045:
3017:
3012:
3007:
3002:
2999:
2992:
2987:
2984:
2958:
2953:
2950:
2928:
2923:
2899:
2871:
2854:
2851:
2846:
2842:
2819:
2814:
2809:
2804:
2797:
2792:
2789:
2739:
2736:
2735:
2734:
2733:
2732:
2692:
2689:
2688:
2687:
2686:
2685:
2684:
2683:
2664:
2663:
2662:
2661:
2640:
2639:
2565:
2562:
2542:
2539:
2508:
2505:
2504:
2503:
2502:
2501:
2500:
2499:
2498:
2497:
2474:
2454:
2434:
2414:
2389:
2388:
2387:
2386:
2385:
2384:
2355:
2346:
2337:
2336:
2335:
2334:
2317:
2316:
2274:
2273:Unknown Symbol
2271:
2270:
2269:
2268:
2267:
2210:
2209:RfC, of a sort
2207:
2206:
2205:
2177:
2159:
2158:
2157:
2156:
2155:
2154:
2153:
2131:
2130:
2129:
2128:
2127:
2126:
2125:
2124:
2123:
2061:
2054:quotient group
1934:
1927:
1920:
1913:
1862:
1858:
1855:
1854:
1853:
1852:
1851:
1850:
1849:
1848:
1847:
1846:
1845:
1757:
1756:
1755:
1704:
1701:
1698:
1671:
1629:
1626:
1623:
1620:
1545:
1544:
1531:
1524:
1523:
1511:
1508:
1507:
1506:
1471:Hurwitz scheme
1458:
1453:
1430:
1427:
1426:
1425:
1424:
1423:
1380:
1379:
1378:
1377:
1309:
1304:
1293:Daniel Geisler
1277:Daniel Geisler
1258:
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:
4963:
4952:
4949:
4948:
4946:
4939:
4938:
4934:
4932:
4924:
4920:
4912:
4908:
4904:
4903:
4898:
4897:
4892:
4891:
4890:
4889:
4885:
4881:
4880:Michael Hardy
4877:
4873:
4869:
4862:
4858:
4852:
4848:
4846:
4841:
4839:
4832:
4831:
4830:
4826:
4822:
4818:
4811:
4796:
4795:
4792:
4788:
4784:
4780:
4779:Deacon Vorbis
4773:
4769:
4762:
4757:
4756:
4755:
4754:
4750:
4748:
4743:
4741:
4731:
4724:
4720:
4713:
4702:
4700:
4699:
4695:
4694:North America
4689:
4686:
4681:
4679:
4675:
4671:
4670:
4654:
4650:
4648:
4647:
4644:
4636:
4628:
4626:
4625:
4621:
4617:
4613:
4609:
4605:
4602:The redirect
4597:
4593:
4589:
4585:
4570:
4562:
4508:
4493:
4491:
4487:
4483:
4479:
4477:
4473:
4469:
4465:
4464:
4463:
4462:
4458:
4454:
4436:
4428:
4425:
4422:
4416:
4413:
4408:
4404:
4400:
4395:
4391:
4370:
4367:
4364:
4361:
4358:
4353:
4349:
4328:
4325:
4322:
4319:
4316:
4309:implies that
4294:
4291:
4286:
4283:
4280:
4277:
4274:
4271:
4266:
4261:
4258:
4255:
4235:
4215:
4212:
4207:
4203:
4199:
4194:
4190:
4186:
4181:
4176:
4172:
4168:
4163:
4159:
4153:
4150:
4128:
4123:
4118:
4113:
4106:
4101:
4098:
4095:
4073:
4070:
4067:
4064:
4061:
4058:
4055:
4052:
4049:
4046:
4043:
4040:
4037:
4034:
4031:
4028:
4025:
4022:
4019:
4009:
4001:
3997:
3993:
3975:
3951:
3946:
3943:
3938:
3935:
3930:
3910:
3907:
3904:
3901:
3898:
3886:
3881:
3878:
3875:
3872:
3867:
3864:
3859:
3856:
3853:
3850:
3847:
3839:
3835:
3833:
3829:
3825:
3821:
3820:
3819:
3818:
3814:
3813:
3808:
3807:
3795:
3791:
3787:
3783:
3779:
3775:
3774:
3769:
3768:
3763:
3762:
3761:
3757:
3753:
3749:
3748:
3747:
3743:
3742:
3737:
3736:
3731:
3730:
3729:
3728:
3725:
3721:
3717:
3713:
3709:
3705:
3701:
3697:
3696:
3695:
3691:
3687:
3660:
3656:
3653:
3650:
3623:
3619:
3616:
3613:
3586:
3583:
3580:
3574:
3554:
3550:
3541:
3538:
3535:
3529:
3524:
3521:
3518:
3515:
3510:
3506:
3501:
3496:
3487:
3484:
3481:
3475:
3470:
3467:
3464:
3461:
3456:
3452:
3447:
3443:
3437:
3434:
3431:
3423:
3419:
3415:
3412:
3407:
3399:
3396:
3391:
3387:
3363:
3358:
3354:
3350:
3347:
3344:
3339:
3335:
3314:
3308:
3305:
3300:
3296:
3289:
3284:
3280:
3276:
3273:
3270:
3265:
3261:
3257:
3254:
3251:
3246:
3238:
3235:
3230:
3226:
3215:is a root of
3198:
3193:
3190:
3166:
3162:
3158:
3155:
3135:
3127:
3123:
3119:
3114:
3110:
3103:
3100:
3095:
3092:
3087:
3083:
3077:
3070:
3065:
3062:
3051:
3046:
3043:
3015:
3010:
3005:
3000:
2997:
2990:
2985:
2982:
2956:
2951:
2948:
2926:
2921:
2897:
2888:generated by
2875:
2872:
2869:
2868:Galois theory
2852:
2849:
2844:
2840:
2817:
2812:
2807:
2802:
2795:
2790:
2787:
2761:
2760:
2759:
2758:
2754:
2750:
2749:Michael Hardy
2745:
2737:
2731:
2728:
2723:
2722:
2721:
2717:
2713:
2712:Michael Hardy
2708:
2707:
2706:
2705:
2702:
2698:
2690:
2682:
2678:
2674:
2670:
2669:
2668:
2667:
2666:
2665:
2660:
2656:
2652:
2648:
2644:
2643:
2642:
2641:
2638:
2634:
2630:
2626:
2622:
2618:
2617:
2616:
2615:
2611:
2607:
2603:
2599:
2595:
2591:
2587:
2583:
2579:
2575:
2571:
2563:
2561:
2560:
2556:
2552:
2548:
2540:
2538:
2537:
2533:
2529:
2525:
2521:
2516:
2514:
2506:
2496:
2492:
2488:
2472:
2452:
2432:
2412:
2402:
2397:
2396:
2395:
2394:
2393:
2392:
2391:
2390:
2383:
2379:
2375:
2371:
2370:Deacon Vorbis
2353:
2343:
2342:
2341:
2340:
2339:
2338:
2333:
2329:
2325:
2321:
2320:
2319:
2318:
2315:
2311:
2309:
2308:
2301:
2297:
2296:
2295:
2294:
2290:
2288:
2287:
2278:
2272:
2266:
2262:
2258:
2253:
2249:
2248:
2247:
2243:
2239:
2235:
2234:
2233:
2232:
2228:
2224:
2220:
2216:
2208:
2204:
2200:
2196:
2192:
2187:
2178:
2176:
2172:
2168:
2164:
2160:
2152:
2148:
2144:
2140:
2136:
2132:
2122:
2118:
2114:
2110:
2109:
2108:
2104:
2100:
2096:
2095:
2094:
2090:
2086:
2082:
2078:
2077:quotient ring
2074:
2070:
2066:
2062:
2059:
2055:
2051:
2047:
2043:
2042:
2041:
2037:
2033:
2029:
2025:
2021:
2020:quotient ring
2017:
2013:
2004:
1999:
1998:
1997:
1993:
1989:
1985:
1981:
1977:
1973:
1972:
1971:
1967:
1963:
1959:
1955:
1954:
1953:
1949:
1945:
1941:
1933:
1926:
1919:
1912:
1907:
1899:
1898:
1897:
1893:
1889:
1884:
1883:
1882:
1881:
1877:
1873:
1869:
1865:
1856:
1844:
1840:
1836:
1829:
1819:
1812:
1811:
1810:
1806:
1802:
1795:
1785:
1775:
1765:
1758:
1754:
1750:
1746:
1745:Michael Hardy
1742:
1738:
1737:
1736:
1735:
1734:
1730:
1726:
1722:
1718:
1702:
1699:
1696:
1687:
1669:
1657:
1653:
1652:
1651:
1647:
1643:
1642:Michael Hardy
1627:
1621:
1618:
1610:
1606:
1600:
1595:
1594:
1593:
1589:
1585:
1581:
1577:
1572:
1569:not at allย โ
1566:
1565:Michael Hardy
1561:
1560:
1559:
1558:
1554:
1550:
1549:Michael Hardy
1543:
1539:
1535:
1532:
1529:
1528:
1527:
1521:
1520:
1519:
1517:
1509:
1505:
1501:
1497:
1492:
1491:
1490:
1489:
1485:
1481:
1476:
1472:
1468:
1464:
1457:
1454:
1452:
1451:
1447:
1443:
1439:
1438:RD nomination
1435:
1428:
1422:
1418:
1414:
1410:
1409:
1408:
1404:
1400:
1396:
1395:
1394:
1393:
1389:
1385:
1376:
1372:
1368:
1364:
1363:
1362:
1358:
1354:
1350:
1346:
1342:
1338:
1334:
1333:
1332:
1331:
1327:
1323:
1319:
1315:
1308:
1305:
1303:
1302:
1298:
1294:
1290:
1287:
1286:
1282:
1278:
1274:
1272:
1268:
1264:
1256:
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:
4930:
4919:edit request
4916:
4901:
4895:
4865:
4844:
4837:
4810:Maths banner
4746:
4739:
4712:Maths banner
4706:
4690:
4682:
4667:
4665:
4655:for deletion
4639:T.Shafee(Evo
4632:
4601:
4004:
3840:(ยง672) that
3811:
3805:
3802:
3772:
3766:
3740:
3734:
2873:
2741:
2697:Voronoi pole
2695:The article
2694:
2691:Voronoi pole
2574:Reddwarf2956
2567:
2544:
2517:
2510:
2306:
2305:
2285:
2284:
2279:
2276:
2212:
2185:
2072:
2045:
2003:TakuyaMurata
1962:67.198.37.16
1931:
1924:
1917:
1910:
1905:
1888:67.198.37.16
1860:
1833:directly. โ
1818:nowrap begin
1740:
1716:
1685:
1655:
1608:
1604:
1579:
1575:
1546:
1541:
1537:
1533:
1525:
1513:
1496:67.198.37.16
1460:
1434:Goro Shimura
1432:
1381:
1345:planar graph
1336:
1311:
1291:
1288:
1275:
1260:
1249:Placing the
1233:
1156:
1101:
1042:
987:
932:
899:
877:
822:
767:
712:
657:
602:
547:
492:
437:
382:
327:
272:
217:
162:
107:
103:SepโDec 2004
99:JanโAug 2004
44:
4859:An edit to
2133:We do have
2099:Incnis Mrsi
2032:Incnis Mrsi
1944:Incnis Mrsi
1900:Whether do
1872:Incnis Mrsi
1725:Incnis Mrsi
1599:Incnis Mrsi
1584:Incnis Mrsi
1341:plane curve
1339:refer to a
4772:categories
4768:categories
2778:such that
2647:this paper
2257:XOR'easter
2223:XOR'easter
2046:definitely
1828:nowrap end
1801:Salix alba
1353:XOR'easter
91:Motivation
4931:Spintendo
4923:Gray code
4876:this page
4868:this edit
4616:Thryduulf
2742:Possibly
2625:Prime gap
2598:Prime gap
2582:Prime gap
2518:See also
2324:JRSpriggs
1267:Tetration
1255:Tetration
4945:Category
4584:D.Lazard
4482:D.Lazard
4468:D.Lazard
4453:Pbroks13
4008:D.Lazard
3700:D.Lazard
3686:D.Lazard
2621:removing
2528:D.Lazard
2195:D.Lazard
1540:)|ย <
1530:0ย <ย |
1413:D.Lazard
1384:D.Lazard
1322:D.Lazard
24: |
20: |
4678:deleted
2727:Lambiam
2701:Lambiam
2651:MarkH21
2073:primary
1835:Tea2min
1689:โ and โ
1662:โ and โ
1658:โ and โ
1611:versus
1442:MarkH21
1367:MarkH21
1349:2D plot
1234:15 days
22:Archive
4821:Certes
4787:videos
4783:carbon
4143:, but
3992:Certes
3838:argues
3836:Euler
2576:about
2551:Certes
2378:videos
2374:carbon
2252:WP:BLP
2167:Certes
2083:.) --
2063:About
2028:ideals
1764:Nowrap
1721:Beamer
4838:Auric
4761:Auric
4740:Auric
4641:&
4383:, so
2876:: If
2874:Proof
2592:says
2572:with
2141:) --
2071:is a
1986:. --
1904:know
1864:Wrote
1337:could
16:<
4896:Reyk
4884:talk
4845:talk
4825:talk
4747:talk
4643:Evo)
4620:talk
4588:talk
4499:and
4486:talk
4472:talk
4457:talk
4341:and
3996:talk
3923:and
3828:talk
3806:Reyk
3790:talk
3767:Reyk
3756:talk
3735:Reyk
3720:talk
3704:talk
3690:talk
3680:and
3676:for
3639:and
2912:and
2880:and
2774:and
2766:and
2753:talk
2716:talk
2677:talk
2655:talk
2633:talk
2610:talk
2600:and
2578:this
2570:here
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2511:See
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2328:talk
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2186:Done
2171:talk
2147:talk
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2085:Taku
2036:talk
1992:talk
1988:Taku
1978:and
1966:talk
1948:talk
1892:talk
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1839:talk
1823:and
1805:talk
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1500:talk
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1469:and
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1417:talk
1403:talk
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1371:talk
1357:talk
1347:, a
1343:, a
1326:talk
1297:talk
1281:talk
1265:and
1253:and
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
26:2019
4902:YO!
4819:.
4805:in
4801:to
3824:JBL
3812:YO!
3773:YO!
3741:YO!
3327:If
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2606:JBL
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1923:= โ
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1779:or
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1607:โจย ยฌ
1578:โจโฏยฌ
1571:โ|โ
1514:In
1207:Dec
1203:Nov
1199:Oct
1195:Sep
1191:Aug
1187:Jul
1183:Jun
1179:May
1175:Apr
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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
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523:Jul
519:Jun
515:May
511:Apr
507:Mar
503:Feb
499:Jan
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484:Nov
480:Oct
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468:Jul
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460:May
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452:Mar
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433:Dec
429:Nov
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397:Mar
393:Feb
389:Jan
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342:Mar
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319:Nov
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283:Feb
279:Jan
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209:Nov
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4947::
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