User talk:Tosha

Space-Filling Curve
I don't understand the objection (i.e. Tosha's deletion of most of what was recently added) to discussing the iterative construction of most space-filling curves as sequence of approximation curves. 25 Dec 2005.
 * I just corrected few bit missleading statements and made it shorter a bit, while keeping all info. Tosha 07:37, 26 December 2005 (UTC)

What was misleading? [Dec. 27, 2005]


 * Ough, read your-self Tosha 21:41, 29 December 2005 (UTC)

Spacetime
I'm not translating only, but the word unarbitrarily made me think there was an error in the article... Manuel Anastácio 12:24, 16 Jun 2004 (UTC)

Classification
Please, can you give me web references for your "minor" edit: "In dimension 3, it was recently used to give a complete classification of compact 3-manifolds." in Ricci curvature. Thanks. DefLog 02:10, 24 Apr 2004 (UTC)

I mean the Perelman's solution of Thurston's conjecture. Tosha 03:39, 25 Apr 2004 (UTC)

What is the latest news, on the Perelman proof? Charles Matthews 19:47, 26 Apr 2004 (UTC)

No news, it is just solved.Tosha 04:17, 27 Apr 2004 (UTC)

Why did you revert??
Was what I wrote about where the spellings connection and connexion are most common correct?? Why did you revert?? 66.245.78.247 23:53, 28 May 2004 (UTC)

You are writing about the word but not about the term. Both of the terms used everywhere it is more related to math. school than to country. You could add it to connection (if you are sure its correct). BTW I found article connexion which does not say anything about connection maybe it shold be glued together, but I suppose it must be done by someone who knows English better than me... Tosha 20:39, 29 May 2004 (UTC)

category: differential geometry
i noticed that you recently classified the Lie Algebra article under differential geometry. I am not sure i agree with that classification. the study of Lie Algebras is pretty much pure linear algebra, right?

You are right, my mistake Tosha 11:50, 5 Jul 2004 (UTC)

Reverting II.
Maybe my corrections on geometry weren't lucky, but would you be so kind as to explaining your deletions (in the future) (a deletion of a sinful edit, without motivation, doesn't inhibit a fallback. Thanx Gubbubu 20:46, 7 Aug 2004 (UTC)


 * Ok, I hoped that you will see it yourself, your correction did not contain "information" or better to say that it was at wrong place. I do not like this article at the present moment, I only think it should not get worse. Tosha +++Gubbubu 11:12, 8 Aug 2004 (UTC)

Poincare sphere
If by Poincare sphere you mean homology sphere, we already have a page on that. Walt Pohl 19:27, 6 Sep 2004 (UTC)


 * Thanks Tosha


 * If Poincaré sphere is the same as homology sphere (forgive my ignorance), this should perhaps be mentioned in the article. As it is, it is rather confusing that when one follows the link Poincaré sphere, one arrives at homology sphere which does not mention Poincaré spheres. -- Jitse Niesen 11:44, 7 Sep 2004 (UTC)

Possibly PS is a type of example of HS only; not that I'm an expert. Charles Matthews 12:09, 7 Sep 2004 (UTC)


 * Yes, but maybe it is not very standard term, is it? Tosha

Message from 150.203.43.173
Hello,

I found here a definition of a lambda convex function that I do quite understand. It seems to me, from a few eqamples I tried, that the factor lambda depends on a geodesic, for example its length. Would you be able to provide an example of a lambda convex function, for positive lambda, please?

Thanks for your help

Krzysztof Krakowski

my email address is kris@mcs.une.edu.au


 * fixed, thanks Tosha 05:47, 11 Oct 2004 (UTC)

Article Licensing
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Pythagorean theorem revert
Why? Is said knowledge in the article somewhere that I missed? Cburnett 23:08, 11 Dec 2004 (UTC)

I do not think it directly related Tosha 23:25, 12 Dec 2004 (UTC)

How is the fact that Pythagoras didn't prove the theorem not relate to the theorem? You're going to have to explain this one a little better than with 7 words. I'd all but guarantee people don't know this fact. How is it less related than the bit about the Indians, Greeks, Chinese, etc.? Trim it down? Maybe. Reword it? Maybe. Cburnett 23:43, 12 Dec 2004 (UTC)

Well, you do not know for sure, all you know is that it is proved in Euckids book, and it is unlikely due to Euckid, anyway it is more related to history of math. Yes, Pythagoras did not have a proof in a way we understand it now, but the same is true for Euckid (although it is closer) so there is no point in your statement. The same is true for all old theorems... Tosha 01:04, 13 Dec 2004 (UTC)

Miller-Rabin primality test interwiki
You inserted an interwiki to the ru: article, but it doesn't exist. Maybe there was a typo, or perhaps you're just planning on writing the article later. Just thought I'd give you a heads up on it. I'll check back in a day or two and if the article's not there or the link hasn't been corrected, I'll remove the interwiki. Cheers. CryptoDerk 22:08, Jan 27, 2005 (UTC)
 * Thanks, by some reason it does not want to have "—" inside of ref. so I gave a ref to a redirect page (with "-" istead of "—") maybe there are better solutions?

Tosha 00:52, 28 Jan 2005 (UTC)

Edit summary
Thank you for your contributions to matrix (mathematics). I have just one request. Could you please put an edit summary when you make a change? For example, by writing "+ru" in the edit summary, you will let people know you put a Russian link. This would be very helpful. Thanks! Oleg Alexandrov 04:28, 3 Mar 2005 (UTC)

sphere cat
Hi. Why did you remove the category from sphere? &mdash;msh210 14:00, 8 Mar 2005 (UTC)

It is clearly an example of metric space, but this category does not describe it best. Cat. surfeces is much better Tosha 19:11, 8 Mar 2005 (UTC)

Geodesic
Hi,

Sorry for the arguments over geodesic, and I would rather not battle there, as you must certainly know this material better than I. Please explain what you saw in there that was wrong. I worked hard to try to make that article easier to understand, and your edits seem to do nothing except remove a simple, easy to understand, definition while leaving the abstract complex definition untouched. I am unable to see what error this might have fixed. linas 15:24, 21 October 2005 (UTC)

Main things:


 * 1) Geodesics are defined not only for metric spaces, (your def kills GenGravity.)
 * 2) lenght-minimizing curve is NOT a geodesic

everything else is metter of style

I'm not against simple, easy to understand, definition but they should be correct Tosha 15:30, 21 October 2005 (UTC)

Intrinsic metric
Hi, I just made a couple of edits to your intrinsic metric article. I left a question at Talk:intrinsic metric regarding the statement about approximate midpoints. Cheers, AxelBoldt 06:38, 10 April 2006 (UTC)

small changes to geodesic's definition
Hello,

there a few things in the definition provied I do not quite agree with. Firstly, when one talks about point, I think the points are "in" a space, not on it, as this assumes some kind of ambient space. We live in R^3, not on it.

I also think that one cannot support the stement that geodesic are defined as the shortest paths. Locally or not, because of reparametrisation, for example. I like the definition given in "John M. Lee. Riemannian Manifolds: An Introduction to Curvature. Number 176 in Graduate Texts in Mathematics. Springer-Verlag, New York, 1997. " where geodesic are simply the curves whose acceleration is zero (well, the covariant derivative of the velocity). Geodesics are, locally, the shortest paths, but the opposite is not true. From the point of view of accelaration, it is natural to see then that the lenght of the velocity vector of a geodesic is constant.

Regards Krzysztof Krakowski

58.108.71.172 10:30, 14 April 2007 (UTC)

It is better to discuss it in geodesic --Tosha 14:42, 15 April 2007 (UTC)

Triangle geometry
Why use "Triangle Geometry", with a capital "G", rather than "Triangle geometry", with a lower-case "g", as the title of a category? Now it will have to get moved. This is one of the many many many many many many many many ways in which categories are inferior to lists. Michael Hardy 23:08, 23 August 2007 (UTC)
 * Yes. Many Many Many Ways. :) Oleg Alexandrov (talk) 03:15, 24 August 2007 (UTC)
 * My mistake, thanks for changing all this. --Tosha 15:31, 24 August 2007 (UTC)

"little monster tensor"
Hi, thank you very much for starting the article Curvature of Riemannian manifolds. In the introductory section you wrote "Riemann introduced a way to describe it as "little monster tensor"". Can cite the a source for this statement. I mean "little monster tensor". Thanx.--  hɑkeem  ¡ʇ u ɐ ɹ  ɯǝǝʞɐɥ  17:23, 16 April 2008 (UTC)
 * I'm not sure, I guess something like that had been used in Gromov's "sign and geometric meaning of curvature", but I do not see why it might be important :) --Tosha (talk) 23:07, 16 April 2008 (UTC)

Convex metric space
See Wikipedia_talk:WikiProject_Mathematics.

And please learn to use the edit summary, it is basic etiquette on Wikipedia and helps others understand what you do. Oleg Alexandrov (talk) 19:36, 14 September 2008 (UTC)


 * And note that the definition in Convex metric space is not wrong, it is backed up by references. Oleg Alexandrov (talk) 19:41, 14 September 2008 (UTC)

AfD nomination of Area of figure
I have nominated Area of figure, an article you created, for deletion. I do not think that this article satisfies Wikipedia's criteria for inclusion, and have explained why at Articles for deletion/Area of figure. Your opinions on the matter are welcome at that same discussion page; also, you are welcome to edit the article to address these concerns. Thank you for your time. TrulyBlue (talk) 12:19, 15 September 2008 (UTC)

Image licensing
Hey there...

I am going through a number of images that have some minor licensing issues. I came across Image:Kseg.png which you uploaded. The licensing on this image is not complete as it was uploaded many years ago. I wonder if you could follow the link to the image page and correct the licensing with a GFDL license (or other free license). If you have any questions or issues, please drop me a note on my talk page. Thanks. --Jordan 1972 (talk) 01:53, 5 October 2008 (UTC)

Hausdorff paradox
A few years ago you wrote the following in the Hausdorff paradox article:


 * The structure of the group of rotations on the sphere plays a crucial role here &mdash; this fact is not true on the plane or the line. In fact, it is possible to define "area" for all bounded subsets in the Euclidean plane (as well as "length" on the real line) such that congruent sets will have equal "area". This area, however, is only finitely additive, so it is not at all a measure. In particular, it implies that if two open subsets of the plane (or the real line) are equi-decomposable then they have equal Lebesgue measure.

I don't understand what you are saying. If the area is not the Lebesgue measure, then what is the connexion of the last sentence to the previous sentences?


 * The point is that are is for ALL bounded subsets (not nesessury measurable).--Tosha (talk) 11:50, 31 October 2008 (UTC)


 * Yes, I had understood that. But what is the "it" of the last sentence (...it implies...)? Maybe you meant that the existence of this area implies that if two open subsets of the plane are equi-decomposable then they have equal areas. Eric Kvaalen (talk) 17:13, 31 October 2008 (UTC)

You also wrote:


 * Sometimes the Hausdorff paradox refers to another theorem of Hausdorff which was proved in the same paper. This theorem states that it is possible to "chop up" the unit interval into countably many pieces which (by translations only) can be reassembled into the interval of length 2.

But I don't see that in the paper of Hausdorff.
 * Read it and you will see it...--Tosha (talk) 11:31, 31 October 2008 (UTC)


 * I have just looked again! It's a short paper. Here's the link, see if you can find it and tell me what page it's on: Bemerkung über den Inhalt von Punktmengen


 * I would somewhat prefer to continue this by e-mail. You can e-mail me from Special:EmailUser/Eric_Kvaalen if you're logged on. Eric Kvaalen (talk) 17:13, 31 October 2008 (UTC)

Thanks. Eric Kvaalen (talk) 17:39, 29 October 2008 (UTC)

Mahalanobis distance
Dear User.

You contributed to the Mahalanobis distance article. Some of its content lacks citations for verification, has been challenged and may be removed. Please help improve this article by adding reliable references.Calimo (talk) 10:22, 15 December 2008 (UTC)

Proposed deletion of List of free electronic journals in mathematics
A proposed deletion template has been added to the article List of free electronic journals in mathematics, suggesting that it be deleted according to the proposed deletion process
 * We already have the more comprehensive List of scientific journals in mathematics. Sub-dividing by subscription status carries little benefit and is difficult to define or maintain. No other journal lists are split by subscription status.

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File source problem with File:Kseg.png
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Sharafutdinov's retraction
Please look at these edits. Note that
 * One cannot assume the lay reader knows that topology is a branch of mathematics. I learned in elementary school that that's what it is and I was astonished when I found out many years later that many adults don't know that, but it is nonetheless a fact.
 * Linking to retraction in this context doesn't make sense, since that article begins as follows:
 * A retraction is a public statement, by the author of an earlier statement, that withdraws, cancels, refutes, or diametrically reverses the original statement.


 * One should use complete sentences, not dictionary-style defintions. This is codified in WP:MOS.

I also have qualms about linking to the surname Sharafutdinov. Since he is not an immensely famous person like Fourier, Euler, Einstein, Shakespeare, etc., including his first name in the part the reader sees, as well as the link target, seems appropriate. Michael Hardy (talk) 02:32, 2 April 2010 (UTC)

Michael, that is right name --- people use it...--Tosha (talk) 03:03, 2 April 2010 (UTC)

You appear to misunderstand. I was referring to linking simply to the surname. A link should not be simply to Sharafutdinov. Rather, one should include at least a first name. That doesn't mean one shouldn't use that name in the article. A link is a link. Michael Hardy (talk) 05:54, 4 April 2010 (UTC)

Well, you can unlink it if you want, but for sure this guy deserves a page in wikipedia. --Tosha (talk) 18:41, 4 April 2010 (UTC)

Soul theorem assumption: manifold connected?
Hi, I wonder whether on soul theorem we should include the assumption that M is connected? Our definition for Riemannian manifold doesn't seem to include that assumption, but the soul theorem appears to need it, or else the disjoint union of a plane and an infinite cylinder wouldn't have a soul.

Also, in the soul conjecture, the meaning of the assumption "K>0 at some point" is not completely clear to me. Does it mean that at that point each section gives a positive sectional curvature, or at least one section at that point gives a positive curvature? From your proof sketch on Talk:Soul theorem it seems that the first interpretation is the correct one, but maybe we should make that explicit in the article itself. Cheers, AxelBoldt (talk) 17:09, 20 April 2010 (UTC)


 * I made some changes...--Tosha (talk) 15:58, 21 April 2010 (UTC)

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Nomination of Mojżesz David Kirszbraun for deletion
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Could you give your opinion please
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Stone–Čech compactification
Could you have a look at Talk:Stone–Čech compactification and perhaps add a few words explaining your edit on Tychonoff's precedence? Thanks! --Kompik (talk) 22:50, 17 November 2011 (UTC)

Proposed deletion of Yurii Reshetnyak


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Proposed deletion of Nora Hartsfield


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 * She is an author of a textbook in Graph theory, which is very popular. I think it is notable enough. --Tosha (talk) 04:57, 26 December 2014 (UTC)

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Orphaned non-free image File:Gsp.png
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Brined apples moved to draftspace
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Your draft article, User:Tosha/sandbox


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Nomination for deletion of Template:Razr
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Revert of the disambiguation page for Urysohn space
FYI I have reverted to the version of Urysohn space before 8 Aug 2022. If you have any comments, please discuss at https://en.wikipedia.org/wiki/Wikipedia_talk:WikiProject_Mathematics#Urysohn_space_vs._Urysohn_universal_space. PatrickR2 (talk) 06:00, 10 August 2022 (UTC)

I added a hatnote to Urysohn universal space and someone had already done the same for Urysohn space. Hopefully that should take care of any of your concerns. PatrickR2 (talk) 18:46, 10 August 2022 (UTC)