Timeline for Almost every $m\times n$ real matrix is Dirichlet approximable
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Nov 22, 2021 at 15:29 | comment | added | No One | @MondaleJr. Oh I see, sorry! Now I am kind of confused about the last paragraph in arxiv.org/pdf/1709.04082.pdf#page=2#... which say "almost all"... | |
| Nov 21, 2021 at 2:38 | comment | added | Calamardo | There is no union in the theorem (Theorem 1.1). | |
| Nov 20, 2021 at 17:21 | history | edited | No One | CC BY-SA 4.0 |
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| Nov 20, 2021 at 17:18 | comment | added | No One | @MondaleJr. No. The union in that theorem is from $0<c<1$ which exclude the case when $c=1$ (which is what I am asking)... There is a critical difference I believe, in view of Minkowski' convex body theorem | |
| Nov 20, 2021 at 13:01 | comment | added | Calamardo | arxiv.org/abs/2111.07115 Theorem 1.1 clarifies why $D_{m,n}$ is all matrices. | |
| Oct 14, 2021 at 15:08 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Sep 14, 2021 at 14:51 | answer | added | Ronnie Pavlov | timeline score: 1 | |
| Sep 13, 2021 at 18:33 | comment | added | No One | @RonniePavlov Sorry for my late reply. As I indicated in the first line of question $\|\|$ here denotes the maximum norm in ANY Euclidean space. And yes, the superscript indices $m,n$ mean the exponentials. | |
| Sep 8, 2021 at 16:07 | comment | added | Ronnie Pavlov | What do your superscripts represent in $\|Aq - p\|^m$ and $\|q\|^n$? Are they exponents? If so, is the norm just understood to be distance in the proper Euclidean space(s) (i.e. $\mathbb{R}^m$ and $\mathbb{R}^n$ respectively?) Or was the superscript just meant to be a subscript denoting the proper Euclidean norm? | |
| Sep 7, 2021 at 18:13 | history | asked | No One | CC BY-SA 4.0 |