Timeline for Approximation by binary fractions
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 8, 2013 at 6:44 | answer | added | Aaron Meyerowitz | timeline score: 1 | |
| Jul 5, 2013 at 23:19 | comment | added | Yoav Kallus | Indeed, this question indicates it does work for the golden ratio, as for any number whose continued fraction expansion is bounded: mathoverflow.net/questions/28347/… | |
| Jul 5, 2013 at 23:11 | comment | added | Yoav Kallus | The binary expansion is $1/3=0.010101010101\ldots$, so for any fixed $k$, $\min_p 2^k |x-p2^{-k}| = 0.010101\ldots = 1/3$. So that should answer your second question. As for the first, I'm not sure, but probably the golden ratio should work if any number does. | |
| Jul 5, 2013 at 22:49 | comment | added | timur | @YoavKallus: Thanks! Does it work? Sorry if the question is too easy. Perhaps this should be moved to MSE? | |
| Jul 5, 2013 at 21:37 | history | edited | user9072 |
edited tags
|
|
| Jul 5, 2013 at 21:20 | comment | added | Yoav Kallus | $x=1/3$? ${}{}{}$ | |
| Jul 5, 2013 at 20:56 | history | asked | timur | CC BY-SA 3.0 |