Timeline for Odds of projections of a point not on the hyperplane
Current License: CC BY-SA 3.0
17 events
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| Feb 9, 2014 at 14:59 | history | edited | Turbo |
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| Feb 1, 2014 at 7:06 | history | edited | Turbo | CC BY-SA 3.0 |
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| Dec 4, 2013 at 7:07 | history | edited | Turbo |
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| Dec 3, 2013 at 19:49 | history | edited | Turbo | CC BY-SA 3.0 |
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| Dec 3, 2013 at 18:32 | comment | added | Turbo | Picking points independently will be a zero order result and that will also be fine as a start. | |
| Dec 3, 2013 at 18:31 | history | edited | Turbo | CC BY-SA 3.0 |
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| Dec 3, 2013 at 18:24 | history | edited | Turbo | CC BY-SA 3.0 |
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| Dec 3, 2013 at 18:08 | history | edited | Turbo | CC BY-SA 3.0 |
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| Dec 3, 2013 at 17:59 | comment | added | Turbo | @BenoîtKloeckner I think a cube is also fine as long as the coordinates are different for $c$. | |
| Dec 3, 2013 at 16:29 | comment | added | Benoît Kloeckner | Also, a bit of motivation would be nice, it could make people more eager to help. | |
| Dec 3, 2013 at 16:29 | comment | added | Benoît Kloeckner | It is a bit clearer (but a uniform random point in $B_{\mathbb{Z}^n}$ will not satisfy $c_i\neq 0$ and $c_i\neq c_j$ for all $i\neq j$, I guess you think conditionally on these). A closed form expression is certainly out of question, as even a precise asymptotic expression for the cardinal of $B_{\mathbb{Z}^n}$ is an open question. I guess that you can hope for some asymptotic information. Do you really care about taking the euclidean ball, and do you realy want the restrictions on $c$? Maybe taking all coordinates of $c$ independently uniformly between $-N$ and $N$ would be more tractable. | |
| Dec 3, 2013 at 11:33 | comment | added | Turbo | Is it clear now? | |
| Dec 3, 2013 at 11:33 | history | edited | Turbo | CC BY-SA 3.0 |
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| Dec 3, 2013 at 10:48 | comment | added | Benoît Kloeckner | Your notations are confusing. $\mathcal{L}$ is a very specific hyperplane, right? Is $p$ a orthogonal projection to a coordinate subspace? What is your random variable ($c$ ?), and what is its law? | |
| Dec 3, 2013 at 10:28 | history | edited | Turbo | CC BY-SA 3.0 |
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| Dec 3, 2013 at 10:22 | history | edited | Turbo | CC BY-SA 3.0 |
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| Dec 3, 2013 at 10:03 | history | asked | Turbo | CC BY-SA 3.0 |