Timeline for Representation of vectors in $\mathbb{R}^2$ via differences of small vectors.
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 9, 2010 at 7:07 | comment | added | Laurent Berger | @André: yes indeed. Very nice. Problem solved! | |
| Oct 8, 2010 at 23:29 | comment | added | André Henriques | My $\mathbb R^2$ exmple shows that the bounds for these two a-priori different problems happen to agree. | |
| Oct 6, 2010 at 6:58 | comment | added | Laurent Berger | Indeed, Steinitz' theorem tells you about the radius of a disk centered at $0$ containing the partial sums, while fiktor's question is about the radius of a disk, possibly centered away from $0$, containing the partial sums. | |
| Oct 5, 2010 at 18:15 | comment | added | André Henriques | @Piero: No. Fiktor's question is different. He doesn't insist that $w_0=0$. This is a crucial difference. | |
| Oct 5, 2010 at 15:49 | comment | added | Piero D'Ancona | Doesn't this qualify as an open problem then? a nice one though | |
| Oct 5, 2010 at 15:42 | comment | added | Laurent Berger | @Willie: Thank you for the reference! | |
| Oct 5, 2010 at 15:20 | comment | added | Willie Wong | It appears that the $\sqrt{5}/2$ bound may be very much older? zentralblatt-math.org/zmath/en/advanced/… shows a paper by V.Bergström in 1930 deriving this same result. The paper itself is available here: springerlink.com/content/27277w7815v61481 | |
| Oct 5, 2010 at 14:50 | history | answered | Laurent Berger | CC BY-SA 2.5 |