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I can't understand how it should be able to turn a needle in the depicted Besicovitch sets ... or, if this is not possible, what would be the connection to the Kakeya problem. Could this be added? -- Paul Ebermann ( talk) 16:29, 23 January 2008 (UTC)
I just reverted the removal of the link in this article. Yes, it's a personal website, however, it's the personal website of Terry Tao who is /was a published author dealing with mathematics. This author appears to be notable and has been published since the 90's. Appears to be okay in this sense. Feel free to revert if you disagree - I won't war. F.U.R hurts Wikipedia 15:15, 2 April 2008 (UTC)
Hello, Recently with the IP 69.156.205.158. I'm back today to synch the head with the data in the main page. Facts :
F. Cunningham, our last source, demonstrated how using techniques similar to the Besicovitch sets of infinitesimal size he could make everything outside of an area of arbitrarily small. As far as our sources goes, it's the smallest we can get.
I don't know how far this misconception that a Kekeya needle set could be of null size is going. For what I know, we were quoting F. Cunningham as our source for that claim. Obviously upon reading his paper, he don't make that claim. It might worth a section, but I won't go into OR territories alone on this topic. Of course, if anyone have a good secondary source about this or it contrary, it would be appreciated. Iluvalar ( talk) 16:11, 5 November 2015 (UTC)
Very simply, an annulus with inner radius r > 1 and outer radius (r + 1/r^2) has an arbitrarily small area (~2 pi / r) as r goes to infinity. It fits the needle and allows it to rotate 360 degrees just by going all the way around the annulus.
Does the statement of the problem have additional conditions not listed on the wiki page to exclude this uninteresting solution? — Preceding unsigned comment added by DMPalmer ( talk • contribs) 15:49, 2 November 2018 (UTC)
This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||
|
I can't understand how it should be able to turn a needle in the depicted Besicovitch sets ... or, if this is not possible, what would be the connection to the Kakeya problem. Could this be added? -- Paul Ebermann ( talk) 16:29, 23 January 2008 (UTC)
I just reverted the removal of the link in this article. Yes, it's a personal website, however, it's the personal website of Terry Tao who is /was a published author dealing with mathematics. This author appears to be notable and has been published since the 90's. Appears to be okay in this sense. Feel free to revert if you disagree - I won't war. F.U.R hurts Wikipedia 15:15, 2 April 2008 (UTC)
Hello, Recently with the IP 69.156.205.158. I'm back today to synch the head with the data in the main page. Facts :
F. Cunningham, our last source, demonstrated how using techniques similar to the Besicovitch sets of infinitesimal size he could make everything outside of an area of arbitrarily small. As far as our sources goes, it's the smallest we can get.
I don't know how far this misconception that a Kekeya needle set could be of null size is going. For what I know, we were quoting F. Cunningham as our source for that claim. Obviously upon reading his paper, he don't make that claim. It might worth a section, but I won't go into OR territories alone on this topic. Of course, if anyone have a good secondary source about this or it contrary, it would be appreciated. Iluvalar ( talk) 16:11, 5 November 2015 (UTC)
Very simply, an annulus with inner radius r > 1 and outer radius (r + 1/r^2) has an arbitrarily small area (~2 pi / r) as r goes to infinity. It fits the needle and allows it to rotate 360 degrees just by going all the way around the annulus.
Does the statement of the problem have additional conditions not listed on the wiki page to exclude this uninteresting solution? — Preceding unsigned comment added by DMPalmer ( talk • contribs) 15:49, 2 November 2018 (UTC)