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Archive 5 | ← | Archive 8 | Archive 9 | Archive 10 | Archive 11 | Archive 12 | → | Archive 15 |
I really like the new limit information you put in Q-analogs. Also: sorry I switched Q-analogues to Q-analogs; I'm just starting to learn the rules around here. Vince Vatter 15:11, 20 Apr 2005 (UTC)
I think it is a good idea. When I started fr:Wikipédia:Pages à supprimer#Antipape Benoît XV et Antipape Benoît XVI, I didn't have the idea for fr:Antipapes imaginaires, but I immediatly approved the idea when the page was created, because thse explanations were, in my opinion, "encyclopedical". I enjoy that other have the same opinion for the English WP... :o) Hégésippe | ±Θ± (French User talk page) 14:16, 23 Apr 2005 (UTC)
I saw your edit on the Taman Universiti wiki which I've just started. Do you actually know the town or you're just editing the page for the sake of better English? Whatever it is, thanks for updating it, as the English sounds much better now.
As you seem a specialist on this...
I think I should maybe write up the exponential sheaf sequence, as a good example of exact sequences. There it is just a matter of expressing how logarithms work in the complex domain. The exactness on stalks is simple to understand. The corresponding sequence of sections is not exact, over non-simply connected sets; so you can't just take quotients on the section level. Charles Matthews 21:32, 12 May 2005 (UTC)
Could I get you to edit this category (which you created) and add some text explaining what it's for? Its purpose is less than obvious. ---- Isaac R 02:38, 20 May 2005 (UTC)
Please have a look at my critics on Talk:Generalized function. (I'm sorry in case it would seem unpolite, which was not intended at all.) — MFH: Talk 14:44, 23 May 2005 (UTC)
maybe some of your "red links" could be "eliminated" by a more or less adequate redirection. Are you generally in favour of this, or rather prefer the "red link" as indicator that something has to be done ? — MFH: Talk 19:00, 23 May 2005 (UTC)
What did you mean to redirect Wave front to? Currently it redirects to itself. Broken Segue 23:16, 23 May 2005 (UTC)
Of course there's some "common idea" (whence Hörmander's choice), but on wavefront no bit of information can be found for s.o. looking for the definition (or even basic idea) of the wave front set. — MFH: Talk 21:01, 25 May 2005 (UTC)
Thanks for putting the [ [ ... ] ] at the right place (cotangent bundle vs WF set) on my new article about wave front set. However, I'm not so happy about your other edits. Please see Talk:Wave front set. — MFH: Talk 12:47, 26 May 2005 (UTC)
Hello. You seem to have put a link to this not-yet-existing article into fixed point theorem. Can you tell me what this theorem is? I can't help but think of the Woods Hole Oceanographic Institution and wonder if there's a connection? Michael Hardy 01:51, 24 May 2005 (UTC)
In general there is no such thing as a "Covariant Coordinate System" . In what physicists call "flat space" (probably an "affine manifold" for math guys), you can indeed define such a system in coordinate systems with straight axes (for example, Cartesian, or skew-Cartesian). In curved manifolds you are generally not so lucky. As I have remarked before in some of these discussions, the contravariant coordinate differentials are perfect differentials. Thus their integrals are unique labels for points and can be used as coordinates. In curved spaces (nonzero Riemann tensor) you can't integrate the covariant components of the differentials of the coordinates to get coordinates. The integral is in general path-dependent so you do not get a unique label for a point. Consider, for example, the sphere, using spherical polar coordinates. Let the polar angle be theta. The differential of the azimuthal angular coordinate is d_phi, and is the increment of change in angle round the polar axis. Its integral is phi, a coordinate. The covariant equivalent is r^2 sin(theta)^2 d_phi (using simple Tex-like notation.) You can't integrate that one to get a coordinate, and using a different coordinate system will not help (using the intrinsic geometry of a sphere - if you jump to 3-d space you can do it by reverting to rectangular coordinates, but that's not the game). If you do happen to think you can integrate r^2 sin(theta)^2 d_phi consider doing it along a parallel of latitude, and then compare going toward a pole along a meridian, along a parallel to the new theta, and then down to the latitude at which you started. The sin(theta)^2 makes the answer less when you use such a path. I suggest you remove that stuff about covariant coordinates or restrict it to rectangular and affine coordinates in flat spaces. Sorry. Pdn 02:49, 28 May 2005 (UTC)
I don't really understand what you are arguing here. Certainly dx is an exact differential (perfect differential, as you would have it. But in 'curved spaces', i.e. manifolds, there is a perfectly good notion of coordinate system, i.e. a chart. That's quite independent of any metric notions. Charles Matthews 13:18, 28 May 2005 (UTC)
Sorry - I fixed up some thetas and phis above. I will look up "chart" if I can find it. I agree that there is a good coordinate system in all the smooth spaces I know of, although of course it can be multiple-valued in ways we can handle (such as an angle whose range we restrict). May I ask for a simple example of a curved manifold with that you call a "covariant coordinate system?" Thanks Pdn 14:42, 28 May 2005 (UTC)
The meaning I'm using is chart (topology). I would never talk myself about a coordinate system as covariant. On a manifold one has various kinds of vectors and tensors, which may be covariant or contravariant. The difference is like this: take the Earth's surface: latitude and longitude give a satisfactory way of setting up a coordinate system anywhere (excluding the North or South poles). A vector field is something like what would appear on a weather map with arrows for the horizontal wind velocity. 'Dual' to that one has isobars. So I see all these as distinct concepts. Charles Matthews 14:54, 28 May 2005 (UTC)
In the changes to [1] on 27th May at 10:57 AM I believe you wrote "In tensor analysis, a covariant coordinate system is reciprocal to a corresponding contravariant coordinate system. Expressions for lengths, areas and volumes of objects in the vector space can then be given in terms of tensors with covariant and contravariant indices." This material disagrees with my conception and with your statement a few lines up (on this talk page):"I would never talk myself about a coordinate system as covariant, " unless there is a Wiki software glitch. Please state which one you mean. Thanks. I don't mean to be picky but I want it all to be crystal clear. Pdn 17:05, 28 May 2005 (UTC)
I also do not understand your remarks about winds being "dual" to isobars. Generally, winds flow more or less parallel to isobars due to geostrophic effects [2] except at the equator. I think maybe you meant "orthogonal" by "dual" but as I say, that's not so for the winds. Anyway, you are talking abut vector (or tensor) fields defined on a manifold, I believe, while before you were onto the coordinates. In two dimensions you may "luck out" in finding integrals of vector fields that can be used as coordinates. ("coordinates" can't be multiple-valued except trivial cases like angles, where you can pick a principal branch). In more dimensions, the issues fall under those of "Pfaffian differential forms" and theorems due to Caratheodory [3]. In other words (within my limited understanding of the mathematics and of what you are trying to say with your "dual" field), the dual exists only locally and trajectories of the dual field cannot be used as level-surfaces or coordinate lines in curved spaces of dimension > 2. Pdn 17:58, 28 May 2005 (UTC)
Grand - I understand and will love to drop it, too. It is unfortunate that the inadvertent copying of "covariant coordinate system" triggered my interest. Yes, the celebrated theorem of Frobenius is probably more relevant than Caratheodory's work, which I was recalling from about 1953, when I read Margenau and Murphy's "The Mathematics of Physics and Chemistry". Pdn 15:41, 29 May 2005 (UTC)
Dear Charles, Is it acceptable to delete material from a talk page if it raises an issue that has obviously been dealt with in a satisfactory way? The example I have in mind is the "I have a minor beef..." paragraph on the Galois theory discussion page. You may answer in the affirmative by simply deleting this question from your talk page. Thanks Dmharvey 15:56, 30 May 2005 (UTC)
I am wondering what your opinion is of the possible long-term future of maths in wikipedia? In particular, do you think that wikipedia (or some other wiki-based medium) has the capacity to (eventually) become an authoritative source on well-understood material? I guess 'authoritative' and 'well-understood' are somewhat rubbery terms. For an arbitrary starting point, perhaps 'well-understood' might mean "material that has made it into book form by 2005", and 'authoritative' might mean that a professional mathematician might consider making WP their first port of call for learning material they are unfamiliar with. I appreciate your insight, you seem to have had a lot of experience on WP. Dmharvey 17:21, 30 May 2005 (UTC)
WP can do some good, no question. Trying to audit quite how much progress is interesting, taxing and sometimes chastening. The first five years, for mathematics, is going to look like 10000 pages with much 'core' material. Chronologically the solid coverage can get us into the 1950s, mostly; but not past 1960. I would project, that in 2010 it would look more like 1970 rather than 1960; and even that is ambitious and would require much more expertise in the 'rarer' topics (algebraic geometry and topology, for example) than we currently command. I'm quite upbeat, but it is still very easy to find the gaps. Charles Matthews 10:13, 31 May 2005 (UTC)
As far as I'm concerned, I'm not saying anything private - go ahead, Paul. Charles Matthews 15:27, 31 May 2005 (UTC)
Superset is this vfd, they are listed individually in that VfD as well. FYI. I voted keep. Wikibofh 04:32, 3 Jun 2005 (UTC)
In first place,i sended my great agreed for your understanding respect at my attempts of sended information,still my limits in idiom.
i when see your intense cleanups,observed why this information no losses the principal escense of this,at contrary are convert to interesting and easy to read(how poses sources i can to compared and never seeing any change in roots of ideas in these dates)
Reiterally i no poses any imagination or great capacity to inventive for created all type of cyphers or social and military details,more less inside of japanese side or from these times. these information are only knowed in detail any person why living in these moments or stay in somes forgett history old books of 40 or 60s editions in english.
for other Hand the Lingua franca,if for suppose the English and the best experts in materia or the more detailed research groups or discusion or analisis tables in topic,if obviously in english too. in other idioms this information are more short,limited or never exists,only in english...
i am poses personal interest in topic: i poses any japanese ancestor (little merchant),i poses present japanese friends,i knowed of relate of oldest parents why theirs during wartimes knowed some japanese fishers why result ones japanese agents with short wave radios and responsed to Japanese Navy superior.theirs stay relationed with Japanese special plan of I-400 subs and i read of Japanese order to Sub I-9 to patrol waters surrond U.S.Panama Canal.
in personally i sende more hate for statisticts or numbers or any cyphers groups,or all great mass of dates,but over my typical hate or disdain at statistics or great mass of dates i stay identified with Japanese side ,for all decided to sended this information,
this if my principal founts of my incredible,highly questionable or very dudous information over General Japanese civil and Military comments:
General sources:(oldest editions of 40s to 60s)
over Chinese japanese War comments if my sources:
reiterraly my great agree with you.
by 200.46.215.181
Should the last sentence of the last paragraph of "Cubing the cube" read "that is, given a cube C, to divide it into finitely many smaller cubes, no two congruent," instead of "not all"? — Sean κ. + 17:04, 18 Jun 2005 (UTC)
Since you are one, take a look at WikiGo and tell me what you think, or possibly participate. Thanks! -- Natalinasmpf 16:03, 20 Jun 2005 (UTC)
Thank you for the corrections and additions of categories to the pages on Fermat's Christmas Theorem. They were both my first effort at a wiki page, and I did not know how to add the categories at the bottom of the page. And now I discover I don't know how to put my name at the end of these things... Arturo Magidin June 28, 2005, 12:20 (MDT).
Hi, just to let you know that the list of UK participants at the UK notice board was getting rather long, so I have replaced it with the above category which I have added to your user page. -- Francs2000 | Talk 30 June 2005 18:58 (UTC)
Thanks for being such a great encyclopedia editor. ¸,ø¤º°`°º¤ø,¸ ¸,ø¤º°`°º¤ø,¸ ¸,ø¤º°`°º¤ø,¸ 1 July 2005 00:00 (UTC)
Greetings. I think there should be a couple of more people in the discussion that has arised over gender categorization, specifically female categories. Maybe you could take a side, whichever it be? Please see this discussion and the dscussions of other categories nominated for deletion that day. Maybe there should be a general conclusion on this topic, to avoid future debates? Note that categories such as Category:Women composers have already been deleted, but that List of female composers exists. Also of analogical relevance is Wikipedia:Categories_for_deletion#Category:People_by_race.2Fethnicity_and_all_subcategories. Karol July 1, 2005 07:21 (UTC)
I saw you name on the history board for the decortive knotting in East Asia page, and I feel that page need a LOT more stuff about Chinese Knottingon it, which I know a lot about. How about we both work toghether on this whole article thing, shall we? -Andylandandrew
Hi Charles, could you please take a look at Brian's derivate. Looks like nonsense to me, but would like a second opinion before sending it to VfD or speedying it. Thanks, jni 9 July 2005 16:53 (UTC)
Hi, I thought the simpler intro was good, but the breaking out of TeX into separate lines was a bit overdone and interfered with the flow. My feeling is that the picture ugliness is a temporary problem pending full support for MathML, at which time it will be an advantage to have everything written in TeX in a more natural style.
On a separate note, why did you italicize (and bold) wellfounded and illfounded, while the other terms being defined were just bold?-- Trovatore 06:12, 11 July 2005 (UTC)
So first, I find the phrasing
to be a bit awkward. But more importantly, it seems that there are a couple of pages that use the phrase "model theory" to refer to the Tarskian notion of structure and satisfaction, which I don't think is standard usage. In model theory AUIU, you generally have a fixed complete theory in mind, and you're looking at properties of models of that theory (stable, superstable, homogeneous, saturated, etc). Somewhere there should be a page about the Tarski notion, and it shouldn't be called "model theory". Maybe " Structure (mathematical logic)"? -- Trovatore 19:59, 15 July 2005 (UTC)
Well, I suppose it should somewhere go through the (standard?) idea of what it means to interpret things in a model. This is what I was alluding to. I don't think you need anything as serious as a complete theory? You just need to make the passage from syntax to semantics. Charles Matthews 20:05, 15 July 2005 (UTC)
Ah, well, I'm not a logician and I can't comment on what common usage is. You're probably right that strictly a model is some ordered tuple with a theory, a structure and whatever constants etc. one needs. Charles Matthews 20:14, 15 July 2005 (UTC)
Para-academic? That's not even in the OED...
In my reading, the article suggests that the Tripos ended in 1909. Is that what you intended to write, and if so, what would you call the course that the current students are taking?
For the rest, great read, and a welcome distraction from the mess at Srebrenica massacre.
Cheers, Jitse Niesen ( talk) 22:00, 15 July 2005 (UTC)
I saw you wrote "Sources, please" on a talk page. I added the below to the article. Just wanted to make sure you knew of this handy dandy label: {{verify}}. 4.250.138.52 11:03, 17 July 2005 (UTC)
Please, when you are moving articles, as you recently did from Sort to Sort, Catalonia, use the Move function. Now the edit history is separated from the article it really applies to. -- Jmabel | Talk 04:06, July 19, 2005 (UTC)
Heya,
We're organising another London meetup, for Sunday the 11th of September; specifics still to work out, but it will probably be fun as ever, and involve a few drinks and a nice chat in a pub. We'd love to see you there again...
James F. (talk) 22:08, 19 July 2005 (UTC)
A journalist looked up Nicolas Bourbaki to test wikipedia and compare it to another encyclopedia, and was most impressed. Just thought you'd like that, seing you wrote much of the article. It's in rockymountainnews, on the web here (at the bottom of the article). Quote: "Whoever wrote it, t(he)y knew what they were talking about." Shanes 22:46, 26 July 2005 (UTC)
When I was clicking to this article from function (mathematics) I became concerned that I was missing something fundamental in what I learned many years ago in Math 112. Imagine my relief when I read your May 28 2005 clarification of the historical usage of this term. When I started looking into the history for the culprit, it occured to me that this article and the function (mathematics) article may have been lifted from the 1911 Brittanica (which explains everything). I am hoping that the more modern definition of function is being used elsewhere. Didn't the term "set-valued function" replace Multivalued function anyway? Considering the fundamental nature of these and related articles, I am requesting a consensus before doing anything. Please advise. Vonkje 14:56, 1 August 2005 (UTC)
Hi! I recently went to have a beer with my fellow informatics university studentmates, and when I brought up the term "Wikipedia" they responded that they have been looking around on it, and the Maths part seems to be absolutely brilliant, with a wide range of stuff, all high-quality. So I just wanted to thank you for that, because as I can see, a lot of advanced maths has been done by you. I am sure others must be credited, too, but It seems like you have made an unusually large effort. (BTW: I live and study in Hungary, so knowledge passes boundaries) Thx again -- Msoos 22:06, 1 August 2005 (UTC)
Our paths haven't crossed in quite a while: nice to run into you again! You put the Takeuti conjecture stub into Category:Conjectures: does it really belong there? The conjecture has been settled for almost 40 years, though it is still called the Takeuti conjecture in the proof theoretic literature. --- Charles Stewart 16:05, 4 August 2005 (UTC)
Hi Charles. Since you were the creator of both these pages I though I would let you know that I am proposing moving Inclusion (mathematics) to Inclusion map. For my reasons and how I plan to go about it see Talk:Inclusion (mathematics). If you have any thoughts on this move please comment on that talk page. Thanks. Paul August ☎ 03:40, August 12, 2005 (UTC)
I need your help to clarify to others on the nature of English rule of themselves and their battles with the Welsh/Scottish Briton dynasties of the post Plantagenet world. There is a dearth of knowledgeable people with a sincere interest in the legitimate history of New England. Bigelow 03:41, 18 August 2005 (UTC)
Hi Charles. Thank you for creating Category:Nonassociative algebra. However, should it rather be called Category:Nonassociative algebras, which at least to me feels more natural and in line with Category:Lie algebras and Category:C*-algebras? Thanks. Oleg Alexandrov 01:57, 30 August 2005 (UTC)
Hi Charles. If you feel strongly about it, by all means restore the title but please save the no-apostrophe version as a redir. Usually Russian "ь" (мягкий знак, the soft sign) after letter "l" doesn't get into English translation because English "l" is already softer, but I guess in this case it's a matter of tradition and I won't insist on breaking it. ← Humus sapiens ←ну? 08:04, 4 September 2005 (UTC)
Charles, I've noticed your conversation with Gauge at the Chern page. I have written an article about his colleague, Jim Simons, who co-authored the paper which resulted in the Chern-Simons theory.
Simons' article could use some attention in two areas: organizing his acedemic credentials, both as a student and faculty, and double-checking to make sure the mathematical "things" described in the article are worded correctly, and meaningfully. I'm essentially the only author of the article up until now. Although you might not be familiar with this man, your expertise may come in handy to these specific areas.
I hope you find the subject interesting.
Regards,
paul klenk 09:21, 6 September 2005 (UTC)
... and add whatever definition that you see fit (from quasiperiodic tiling or whatever)? i put the Planet Math stuff in there, but i know less about that than i do about the DSP, audio, and music synthesis meaning of the word. r b-j 08:59, 11 September 2005 (UTC)
Hello,
Since you contributed in the past to the publications’ lists, I thought that you might be interested in this new project. I’ll be glad if you will continue contributing. Thanks, APH 11:11, 11 September 2005 (UTC)
Please see talk:quadratic integral. Maybe I'll be back. Michael Hardy 00:57, 20 September 2005 (UTC)
I was linking the Lie algebra cohomology article to Koszul complex and noticed that you contributed an intro to the second article stating that it was invented for the purpose of defining a theory of Lie algebra cohomology. I am curious about more of the history of this, do you know of an article or reference? (BTW I have not used a talk page before, if this is not the correct use feel free to let me know). Kinser 02:46, 20 September 2005 (UTC)
Hello Charles, I'm just wondering how in the world two people as diverse as us have managed to work (in little steps) on the Gillian Rose entry. Best,Tom
Thanks for your message. We all have our own styles. There's nothing to stop you editing articles and removing links you don't like! Best wishes. Poetlister 21:41, 2 October 2005 (UTC)
Hi Charles, could you please have a look at Talk:Bounded operator where a statement (linear transformations with Banach spaces as domain and range are bounded) is challenged which you appear to have written originally. I think the counterexample is not in fact a counterexample, as I explain on the talk page, but I don't feel confident enough to remove the disputed template myself, since I could not convince myself that the statement is correct. Cheers, Jitse Niesen ( talk) 17:31, 5 October 2005 (UTC)
Hi Charles, there will probably be a meeting for the purpose of discussing Wikimedia UK this Sunday, which you may want to attend. You could add your name there if so. Cormaggio @ 23:23, 5 October 2005 (UTC)
Hi, you've reported copyright infringements to WP:CP in the last week, a new measure was recently passed to allow the speedy deltion of new pages that are cut and paste copyvios. Please follow these instructions if you come across this type of copyvio. Thanks. -- nixie 00:23, 6 October 2005 (UTC)
Blatant copyright infringements may now be "speedied"
If an article and all its revisions are unquestionably copied from the website of a commercial content provider and there is no assertion of permission, ownership or fair use and none seems likely, and the article is less than 48 hours old, it may be speedily deleted. See CSD A8 for full conditions. After notifying the uploading editor by using wording similar to:
Blank the page and replace the text with
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