Timeline for Projecting the unit cube onto a subspace [closed]
Current License: CC BY-SA 2.5
15 events
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Apr 7, 2011 at 9:06 | comment | added | Benoît Kloeckner | I think the question has potential, but the discussion below Aaron Meyerowitz' answer makes a point: the question is not precise enough as it is. | |
Apr 5, 2011 at 22:28 | comment | added | Aaron Meyerowitz | I like the question. I never voted to close it but I did vote to reopen it as soon as it closed. I haven't seen more reopen votes since then. | |
Apr 5, 2011 at 17:06 | history | edited | Seva | CC BY-SA 2.5 |
Formatting
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Apr 5, 2011 at 16:04 | history | edited | Seva | CC BY-SA 2.5 |
deleted 39 characters in body; edited tags
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Apr 5, 2011 at 13:41 | comment | added | Seva | @Aaron: I intentionally do not want to ask the question about a specific subspace. What if tomorrow I need another subspace? This is a general, and perfectly legitimate, question about the tools and results that can be useful to attack a special kind of problem. I made it very clear now that I am looking at the ratio, and I am not going to post essentially the same question a second time. Instead, I would expect those who voted for closing to vote for re-opening now. I think it is absolutrely clear to everybody that my question is not "less real" than other MO questions. | |
Apr 5, 2011 at 13:12 | comment | added | Aaron Meyerowitz | I suggest re-editing or posting a new question with a description of the invariant subspace L and the clarification that you want the ratio. | |
Apr 5, 2011 at 6:53 | comment | added | Seva | @fedja: I explained above what I mean by "relatively small". As to you last remark: if the subspace is aligned with some coordinate plane, then it most certainly does not have the property in question. Loosely speaking, what I need is a criterion to show that a subspace is not aligned with the coordinate planes! | |
Apr 5, 2011 at 6:50 | comment | added | Seva | @Bill: I believe, it is reasonable to request background for extremely specialized and artificially looking questions. This is certainly not the case with a general question like this. The question is motivated by my attempt to construct a graph with some particular property, but I am certainly not in a position to describe here all the work which led me to this question. | |
Apr 5, 2011 at 6:47 | history | edited | Seva | CC BY-SA 2.5 |
Explanations inserted
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Apr 5, 2011 at 4:49 | history | closed |
Bill Johnson Igor Rivin fedja Andreas Thom Daniel Litt |
not a real question | |
Apr 5, 2011 at 4:47 | answer | added | Aaron Meyerowitz | timeline score: 1 | |
Apr 5, 2011 at 3:14 | comment | added | fedja | I second Bill's vote. I don't care much about the background but a legitimate question should be far more precise than this. As of now, I do not even understand what "relatively small" might mean here. Indeed, no vector is longer than $\sqrt n$ and, unless your subspace is more or less aligned with some coordinate plane of small dimension, there is little chance to get much less for the maximal projection. | |
Apr 4, 2011 at 21:47 | answer | added | Igor Rivin | timeline score: 0 | |
Apr 4, 2011 at 20:39 | comment | added | Bill Johnson | Please state a reasonable question and give background. As is, I vote to close. | |
Apr 4, 2011 at 20:17 | history | asked | Seva | CC BY-SA 2.5 |